0.03/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.11	% Command    : run_vampire %s %d THM
0.10/0.31	% Computer   : n004.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 1920
0.10/0.31	% WCLimit    : 240
0.10/0.31	% DateTime   : Wed Jul 30 03:40:49 EDT 2025
0.10/0.31	% CPUTime    : 
0.16/0.32	This is a THF_ problem
0.16/0.33	Running higher-order theorem proving
0.16/0.34	Running /export/starexec/sandbox/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/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p -m 16384 -t 240
0.18/0.36	% (2252)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_2141 for (2399ds/2Mi)
0.18/0.36	% (2249)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_2141 for (2399ds/4Mi)
0.18/0.36	% (2253)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_2141 for (2399ds/275Mi)
0.18/0.36	% (2250)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_2141 for (2399ds/27Mi)
0.18/0.36	% (2251)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/2Mi)
0.18/0.36	% (2254)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/18Mi)
0.18/0.36	% (2248)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/183Mi)
0.18/0.36	% (2251)Instruction limit reached!
0.18/0.36	% (2251)------------------------------
0.18/0.36	% (2251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.36	% (2251)Termination reason: Unknown
0.18/0.36	% (2251)Termination phase: shuffling
0.18/0.36	% (2252)Instruction limit reached!
0.18/0.36	% (2252)------------------------------
0.18/0.36	% (2252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.36	
0.18/0.36	% (2251)Memory used [KB]: 1023
0.18/0.36	% (2251)Time elapsed: 0.003 s
0.18/0.36	% (2251)Instructions burned: 3 (million)
0.18/0.36	% (2251)------------------------------
0.18/0.36	% (2251)------------------------------
0.18/0.36	% (2252)Termination reason: Unknown
0.18/0.36	% (2252)Termination phase: shuffling
0.18/0.36	
0.18/0.36	% (2252)Memory used [KB]: 1023
0.18/0.36	% (2252)Time elapsed: 0.004 s
0.18/0.36	% (2252)Instructions burned: 3 (million)
0.18/0.36	% (2252)------------------------------
0.18/0.36	% (2252)------------------------------
0.18/0.36	% (2249)Instruction limit reached!
0.18/0.36	% (2249)------------------------------
0.18/0.36	% (2249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.36	% (2249)Termination reason: Unknown
0.18/0.36	% (2249)Termination phase: shuffling
0.18/0.36	
0.18/0.36	% (2249)Memory used [KB]: 1151
0.18/0.36	% (2249)Time elapsed: 0.004 s
0.18/0.36	% (2249)Instructions burned: 5 (million)
0.18/0.36	% (2249)------------------------------
0.18/0.36	% (2249)------------------------------
0.18/0.37	% (2253)Refutation not found, incomplete strategy
0.18/0.37	% (2253)------------------------------
0.18/0.37	% (2253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.37	% (2253)Termination reason: Refutation not found, incomplete strategy
0.18/0.37	
0.18/0.37	
0.18/0.37	% (2253)Memory used [KB]: 5628
0.18/0.37	% (2253)Time elapsed: 0.009 s
0.18/0.37	% (2253)Instructions burned: 14 (million)
0.18/0.37	% (2253)------------------------------
0.18/0.37	% (2253)------------------------------
0.18/0.37	% (2254)Instruction limit reached!
0.18/0.37	% (2254)------------------------------
0.18/0.37	% (2254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.37	% (2254)Termination reason: Unknown
0.18/0.37	% (2254)Termination phase: Property scanning
0.18/0.37	
0.18/0.37	% (2254)Memory used [KB]: 1151
0.18/0.37	% (2254)Time elapsed: 0.010 s
0.18/0.37	% (2254)Instructions burned: 18 (million)
0.18/0.37	% (2254)------------------------------
0.18/0.37	% (2254)------------------------------
0.18/0.37	% (2250)Instruction limit reached!
0.18/0.37	% (2250)------------------------------
0.18/0.37	% (2250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.37	% (2250)Termination reason: Unknown
0.18/0.37	% (2250)Termination phase: Saturation
0.18/0.37	
0.18/0.37	% (2250)Memory used [KB]: 5756
0.18/0.37	% (2250)Time elapsed: 0.014 s
0.18/0.37	% (2250)Instructions burned: 29 (million)
0.18/0.37	% (2250)------------------------------
0.18/0.37	% (2250)------------------------------
0.18/0.38	% (2256)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_2141 for (2399ds/37Mi)
0.18/0.38	% (2255)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_2141 for (2399ds/3Mi)
0.18/0.38	% (2257)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_2141 for (2399ds/15Mi)
0.18/0.38	% (2255)Instruction limit reached!
0.18/0.38	% (2255)------------------------------
0.18/0.38	% (2255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.38	% (2255)Termination reason: Unknown
0.18/0.38	% (2255)Termination phase: shuffling
0.18/0.38	
0.18/0.38	% (2255)Memory used [KB]: 1023
0.18/0.38	% (2255)Time elapsed: 0.004 s
0.18/0.38	% (2255)Instructions burned: 4 (million)
0.18/0.38	% (2255)------------------------------
0.18/0.38	% (2255)------------------------------
0.18/0.39	% (2257)Instruction limit reached!
0.18/0.39	% (2257)------------------------------
0.18/0.39	% (2257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.39	% (2257)Termination reason: Unknown
0.18/0.39	% (2257)Termination phase: Function definition elimination
0.18/0.39	
0.18/0.39	% (2257)Memory used [KB]: 1151
0.18/0.39	% (2257)Time elapsed: 0.008 s
0.18/0.39	% (2257)Instructions burned: 15 (million)
0.18/0.39	% (2257)------------------------------
0.18/0.39	% (2257)------------------------------
0.18/0.39	% (2259)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_2141 for (2399ds/1041Mi)
0.18/0.39	% (2258)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_2141 for (2399ds/3Mi)
0.18/0.39	% (2260)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/7Mi)
0.18/0.39	% (2258)Instruction limit reached!
0.18/0.39	% (2258)------------------------------
0.18/0.39	% (2258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.39	% (2258)Termination reason: Unknown
0.18/0.39	% (2258)Termination phase: shuffling
0.18/0.39	
0.18/0.39	% (2258)Memory used [KB]: 1023
0.18/0.39	% (2258)Time elapsed: 0.004 s
0.18/0.39	% (2258)Instructions burned: 4 (million)
0.18/0.39	% (2258)------------------------------
0.18/0.39	% (2258)------------------------------
0.18/0.39	% (2260)Instruction limit reached!
0.18/0.39	% (2260)------------------------------
0.18/0.39	% (2260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.39	% (2260)Termination reason: Unknown
0.18/0.39	% (2260)Termination phase: Property scanning
0.18/0.39	
0.18/0.39	% (2260)Memory used [KB]: 1151
0.18/0.39	% (2260)Time elapsed: 0.005 s
0.18/0.39	% (2260)Instructions burned: 8 (million)
0.18/0.39	% (2260)------------------------------
0.18/0.39	% (2260)------------------------------
0.18/0.40	% (2256)Instruction limit reached!
0.18/0.40	% (2256)------------------------------
0.18/0.40	% (2256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.40	% (2256)Termination reason: Unknown
0.18/0.40	% (2256)Termination phase: Saturation
0.18/0.40	
0.18/0.40	% (2256)Memory used [KB]: 5884
0.18/0.40	% (2256)Time elapsed: 0.019 s
0.18/0.40	% (2256)Instructions burned: 38 (million)
0.18/0.40	% (2256)------------------------------
0.18/0.40	% (2256)------------------------------
0.18/0.40	% (2261)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/16Mi)
0.18/0.40	% (2262)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_2141 for (2399ds/3Mi)
0.18/0.40	% (2262)Instruction limit reached!
0.18/0.40	% (2262)------------------------------
0.18/0.40	% (2262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.40	% (2262)Termination reason: Unknown
0.18/0.40	% (2262)Termination phase: shuffling
0.18/0.40	
0.18/0.40	% (2262)Memory used [KB]: 1023
0.18/0.40	% (2262)Time elapsed: 0.003 s
0.18/0.40	% (2262)Instructions burned: 3 (million)
0.18/0.40	% (2262)------------------------------
0.18/0.40	% (2262)------------------------------
0.18/0.40	% (2261)Instruction limit reached!
0.18/0.40	% (2261)------------------------------
0.18/0.40	% (2261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.40	% (2261)Termination reason: Unknown
0.18/0.40	% (2261)Termination phase: Property scanning
0.18/0.40	
0.18/0.40	% (2261)Memory used [KB]: 1151
0.18/0.40	% (2261)Time elapsed: 0.009 s
0.18/0.40	% (2261)Instructions burned: 17 (million)
0.18/0.40	% (2261)------------------------------
0.18/0.40	% (2261)------------------------------
0.18/0.41	% (2263)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_2141 for (2399ds/3Mi)
0.18/0.41	% (2263)Instruction limit reached!
0.18/0.41	% (2263)------------------------------
0.18/0.41	% (2263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.41	% (2263)Termination reason: Unknown
0.18/0.41	% (2263)Termination phase: shuffling
0.18/0.41	
0.18/0.41	% (2263)Memory used [KB]: 1023
0.18/0.41	% (2263)Time elapsed: 0.003 s
0.18/0.41	% (2263)Instructions burned: 3 (million)
0.18/0.41	% (2263)------------------------------
0.18/0.41	% (2263)------------------------------
0.18/0.41	% (2264)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_2141 for (2399ds/7Mi)
0.18/0.41	% (2264)Instruction limit reached!
0.18/0.41	% (2264)------------------------------
0.18/0.41	% (2264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.41	% (2264)Termination reason: Unknown
0.18/0.41	% (2264)Termination phase: Property scanning
0.18/0.41	
0.18/0.41	% (2264)Memory used [KB]: 1151
0.18/0.41	% (2264)Time elapsed: 0.005 s
0.18/0.41	% (2264)Instructions burned: 7 (million)
0.18/0.41	% (2264)------------------------------
0.18/0.41	% (2264)------------------------------
0.18/0.41	% (2265)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_2141 for (2399ds/3Mi)
0.18/0.41	% (2265)Instruction limit reached!
0.18/0.41	% (2265)------------------------------
0.18/0.41	% (2265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.41	% (2265)Termination reason: Unknown
0.18/0.41	% (2265)Termination phase: shuffling
0.18/0.41	
0.18/0.41	% (2265)Memory used [KB]: 1023
0.18/0.41	% (2265)Time elapsed: 0.003 s
0.18/0.41	% (2265)Instructions burned: 3 (million)
0.18/0.41	% (2265)------------------------------
0.18/0.41	% (2265)------------------------------
0.18/0.42	% (2266)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/4Mi)
0.18/0.42	% (2267)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_2141 for (2399ds/18Mi)
0.18/0.42	% (2266)Instruction limit reached!
0.18/0.42	% (2266)------------------------------
0.18/0.42	% (2266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.42	% (2266)Termination reason: Unknown
0.18/0.42	% (2266)Termination phase: shuffling
0.18/0.42	
0.18/0.42	% (2266)Memory used [KB]: 1151
0.18/0.42	% (2266)Time elapsed: 0.004 s
0.18/0.42	% (2266)Instructions burned: 5 (million)
0.18/0.42	% (2266)------------------------------
0.18/0.42	% (2266)------------------------------
0.18/0.42	% (2268)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/710Mi)
0.18/0.43	% (2269)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/6Mi)
0.18/0.43	% (2267)Instruction limit reached!
0.18/0.43	% (2267)------------------------------
0.18/0.43	% (2267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.43	% (2267)Termination reason: Unknown
0.18/0.43	% (2267)Termination phase: Saturation
0.18/0.43	
0.18/0.43	% (2267)Memory used [KB]: 5628
0.18/0.43	% (2267)Time elapsed: 0.011 s
0.18/0.43	% (2267)Instructions burned: 19 (million)
0.18/0.43	% (2267)------------------------------
0.18/0.43	% (2267)------------------------------
0.18/0.43	% (2270)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_2141 for (2399ds/902Mi)
0.18/0.43	% (2269)Instruction limit reached!
0.18/0.43	% (2269)------------------------------
0.18/0.43	% (2269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.43	% (2269)Termination reason: Unknown
0.18/0.43	% (2269)Termination phase: Property scanning
0.18/0.43	
0.18/0.43	% (2269)Memory used [KB]: 1151
0.18/0.43	% (2269)Time elapsed: 0.005 s
0.18/0.43	% (2269)Instructions burned: 7 (million)
0.18/0.43	% (2269)------------------------------
0.18/0.43	% (2269)------------------------------
0.18/0.43	% (2268)Refutation not found, incomplete strategy
0.18/0.43	% (2268)------------------------------
0.18/0.43	% (2268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.43	% (2268)Termination reason: Refutation not found, incomplete strategy
0.18/0.43	
0.18/0.43	
0.18/0.43	% (2268)Memory used [KB]: 5628
0.18/0.43	% (2268)Time elapsed: 0.011 s
0.18/0.43	% (2268)Instructions burned: 19 (million)
0.18/0.43	% (2268)------------------------------
0.18/0.43	% (2268)------------------------------
0.18/0.44	% (2270)Refutation not found, incomplete strategy
0.18/0.44	% (2270)------------------------------
0.18/0.44	% (2270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.44	% (2270)Termination reason: Refutation not found, incomplete strategy
0.18/0.44	
0.18/0.44	
0.18/0.44	% (2270)Memory used [KB]: 5628
0.18/0.44	% (2270)Time elapsed: 0.009 s
0.18/0.44	% (2270)Instructions burned: 16 (million)
0.18/0.44	% (2270)------------------------------
0.18/0.44	% (2270)------------------------------
0.18/0.44	% (2271)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_2141 for (2399ds/21Mi)
0.18/0.45	% (2272)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/5Mi)
0.18/0.45	% (2273)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_2141 for (2399ds/6Mi)
0.18/0.45	% (2271)Instruction limit reached!
0.18/0.45	% (2271)------------------------------
0.18/0.45	% (2271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.45	% (2271)Termination reason: Unknown
0.18/0.45	% (2271)Termination phase: Property scanning
0.18/0.45	
0.18/0.45	% (2271)Memory used [KB]: 1151
0.18/0.45	% (2271)Time elapsed: 0.011 s
0.18/0.45	% (2271)Instructions burned: 21 (million)
0.18/0.45	% (2271)------------------------------
0.18/0.45	% (2271)------------------------------
0.18/0.45	% (2272)Instruction limit reached!
0.18/0.45	% (2272)------------------------------
0.18/0.45	% (2272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.45	% (2272)Termination reason: Unknown
0.18/0.45	% (2272)Termination phase: Property scanning
0.18/0.45	
0.18/0.45	% (2272)Memory used [KB]: 1151
0.18/0.45	% (2272)Time elapsed: 0.005 s
0.18/0.45	% (2272)Instructions burned: 6 (million)
0.18/0.45	% (2272)------------------------------
0.18/0.45	% (2272)------------------------------
0.18/0.45	% (2273)Instruction limit reached!
0.18/0.45	% (2273)------------------------------
0.18/0.45	% (2273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.45	% (2273)Termination reason: Unknown
0.18/0.45	% (2273)Termination phase: Property scanning
0.18/0.45	
0.18/0.45	% (2273)Memory used [KB]: 1151
0.18/0.45	% (2273)Time elapsed: 0.005 s
0.18/0.45	% (2273)Instructions burned: 8 (million)
0.18/0.45	% (2273)------------------------------
0.18/0.45	% (2273)------------------------------
0.18/0.45	% (2248)Instruction limit reached!
0.18/0.45	% (2248)------------------------------
0.18/0.45	% (2248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.45	% (2248)Termination reason: Unknown
0.18/0.45	% (2248)Termination phase: Saturation
0.18/0.45	
0.18/0.45	% (2248)Memory used [KB]: 6652
0.18/0.45	% (2248)Time elapsed: 0.091 s
0.18/0.45	% (2248)Instructions burned: 184 (million)
0.18/0.45	% (2248)------------------------------
0.18/0.45	% (2248)------------------------------
0.18/0.45	% (2274)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/377Mi)
0.18/0.46	% (2275)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_2141 for (2399ds/779Mi)
0.18/0.46	% (2276)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_2141 for (2399ds/19Mi)
0.18/0.46	% (2278)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/17Mi)
0.18/0.46	% (2277)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_2141 for (2399ds/879Mi)
0.18/0.47	% (2279)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_2141 for (2399ds/3Mi)
0.18/0.47	% (2279)Instruction limit reached!
0.18/0.47	% (2279)------------------------------
0.18/0.47	% (2279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.47	% (2279)Termination reason: Unknown
0.18/0.47	% (2279)Termination phase: shuffling
0.18/0.47	
0.18/0.47	% (2279)Memory used [KB]: 1151
0.18/0.47	% (2279)Time elapsed: 0.004 s
0.18/0.47	% (2279)Instructions burned: 5 (million)
0.18/0.47	% (2279)------------------------------
0.18/0.47	% (2279)------------------------------
0.18/0.47	% (2278)Instruction limit reached!
0.18/0.47	% (2278)------------------------------
0.18/0.47	% (2278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.47	% (2278)Termination reason: Unknown
0.18/0.47	% (2278)Termination phase: Property scanning
0.18/0.47	
0.18/0.47	% (2278)Memory used [KB]: 1151
0.18/0.47	% (2278)Time elapsed: 0.010 s
0.18/0.47	% (2278)Instructions burned: 19 (million)
0.18/0.47	% (2278)------------------------------
0.18/0.47	% (2278)------------------------------
0.18/0.47	% (2276)Refutation not found, incomplete strategy
0.18/0.47	% (2276)------------------------------
0.18/0.47	% (2276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.47	% (2276)Termination reason: Refutation not found, incomplete strategy
0.18/0.47	
0.18/0.47	
0.18/0.47	% (2276)Memory used [KB]: 5756
0.18/0.47	% (2276)Time elapsed: 0.010 s
0.18/0.47	% (2276)Instructions burned: 17 (million)
0.18/0.47	% (2276)------------------------------
0.18/0.47	% (2276)------------------------------
0.18/0.48	% (2275)First to succeed.
0.18/0.48	% (2280)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_2141 for (2398ds/30Mi)
0.18/0.49	% (2275)Refutation found. Thanks to Tanya!
0.18/0.49	% SZS status Theorem for E---3.1_2141
0.18/0.49	% SZS output start Proof for E---3.1_2141
0.18/0.49	thf(type_def_5, type, mu: $tType).
0.18/0.49	thf(func_def_0, type, mu: $tType).
0.18/0.49	thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
0.18/0.49	thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.49	thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
0.18/0.49	thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.49	thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.49	thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.49	thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.49	thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.49	thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.49	thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.18/0.49	thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
0.18/0.49	thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
0.18/0.49	thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
0.18/0.49	thf(func_def_15, type, mtrue: $i > $o).
0.18/0.49	thf(func_def_16, type, mfalse: $i > $o).
0.18/0.49	thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
0.18/0.49	thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
0.18/0.49	thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_29, type, mvalid: ($i > $o) > $o).
0.18/0.49	thf(func_def_30, type, minvalid: ($i > $o) > $o).
0.18/0.49	thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
0.18/0.49	thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
0.18/0.49	thf(func_def_33, type, a1: $i > $i > $o).
0.18/0.49	thf(func_def_34, type, a2: $i > $i > $o).
0.18/0.49	thf(func_def_35, type, a3: $i > $i > $o).
0.18/0.49	thf(func_def_36, type, jan: mu).
0.18/0.49	thf(func_def_37, type, piotr: mu).
0.18/0.49	thf(func_def_38, type, cola: mu).
0.18/0.49	thf(func_def_39, type, pepsi: mu).
0.18/0.49	thf(func_def_40, type, beer: mu).
0.18/0.49	thf(func_def_41, type, likes: mu > mu > $i > $o).
0.18/0.49	thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
0.18/0.49	thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
0.18/0.49	thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o).
0.18/0.49	thf(func_def_62, type, sK1: $i > $i).
0.18/0.49	thf(func_def_63, type, sK2: $i > $i).
0.18/0.49	thf(func_def_64, type, sK3: mu > $i > mu > $i).
0.18/0.49	thf(func_def_65, type, sK4: mu > $i > mu > $i).
0.18/0.49	thf(func_def_66, type, sK5: mu > $i > mu > $i).
0.18/0.49	thf(func_def_67, type, sK6: $i > $i).
0.18/0.49	thf(func_def_68, type, sK7: $i > $i).
0.18/0.49	thf(func_def_69, type, sK8: $i > $i).
0.18/0.49	thf(f568,plain,(
0.18/0.49	  $false),
0.18/0.49	  inference(trivial_inequality_removal,[status(thm)],[f566])).
0.18/0.49	thf(f566,plain,(
0.18/0.49	  ($true = $false)),
0.18/0.49	  inference(superposition,[status(thm)],[f552,f467])).
0.18/0.49	thf(f467,plain,(
0.18/0.49	  ( ! [X1 : $i] : (((a3 @ X1 @ (sK8 @ X1)) = $true)) )),
0.18/0.49	  inference(not_proxy_clausification,[status(thm)],[f464])).
0.18/0.49	thf(f464,plain,(
0.18/0.49	  ( ! [X1 : $i] : (((~ (a3 @ X1 @ (sK8 @ X1))) = $false)) )),
0.18/0.49	  inference(binary_proxy_clausification,[status(thm)],[f463])).
0.18/0.49	thf(f463,plain,(
0.18/0.49	  ( ! [X1 : $i] : (($false = ((~ (likes @ piotr @ pepsi @ (sK8 @ X1))) | (~ (a3 @ X1 @ (sK8 @ X1)))))) )),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f462])).
0.18/0.49	thf(f462,plain,(
0.18/0.49	  ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0)))) @ (sK8 @ X1)) = $false)) )),
0.18/0.49	  inference(sigma_clausification,[status(thm)],[f461])).
0.18/0.49	thf(f461,plain,(
0.18/0.49	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0))))) = $false)) )),
0.18/0.49	  inference(not_proxy_clausification,[status(thm)],[f460])).
0.18/0.49	thf(f460,plain,(
0.18/0.49	  ( ! [X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ pepsi @ Y0)) | (~ (a3 @ X1 @ Y0)))))) = $true)) )),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f459])).
0.18/0.49	thf(f459,plain,(
0.18/0.49	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ pepsi @ Y1)) | (~ (a3 @ Y0 @ Y1))))))) @ X1) = $true)) )),
0.18/0.49	  inference(pi_clausification,[status(thm)],[f300])).
0.18/0.49	thf(f300,plain,(
0.18/0.49	  ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ pepsi @ Y1)) | (~ (a3 @ Y0 @ Y1)))))))) = $true)),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f281])).
0.18/0.49	thf(f281,plain,(
0.18/0.49	  (((^[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]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ a3 @ (likes @ piotr @ pepsi))) = $true)),
0.18/0.49	  inference(definition_unfolding,[status(thm)],[f231,f255,f273])).
0.18/0.49	thf(f273,plain,(
0.18/0.49	  (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]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
0.18/0.49	  inference(definition_unfolding,[status(thm)],[f252,f264,f244,f264])).
0.18/0.49	thf(f244,plain,(
0.18/0.49	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
0.18/0.49	  inference(cnf_transformation,[status(thm)],[f212])).
0.18/0.49	thf(f212,plain,(
0.18/0.49	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
0.18/0.49	  inference(fool_elimination,[status(thm)],[f211])).
0.18/0.49	thf(f211,plain,(
0.18/0.49	  (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3 : $i] : (~(X0 @ X2 @ X3) | (X1 @ X3)))))),
0.18/0.49	  inference(rectify,[status(thm)],[f16])).
0.18/0.49	thf(f16,axiom,(
0.18/0.49	  (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7 : $i] : (~(X6 @ X2 @ X7) | (X3 @ X7)))))),
0.18/0.49	  file('/export/starexec/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p',mbox)).
0.18/0.49	thf(f264,plain,(
0.18/0.49	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.18/0.49	  inference(cnf_transformation,[status(thm)],[f165])).
0.18/0.49	thf(f165,plain,(
0.18/0.49	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.18/0.49	  inference(fool_elimination,[status(thm)],[f164])).
0.18/0.49	thf(f164,plain,(
0.18/0.49	  ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
0.18/0.49	  inference(rectify,[status(thm)],[f3])).
0.18/0.49	thf(f3,axiom,(
0.18/0.49	  ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
0.18/0.49	  file('/export/starexec/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p',mnot)).
0.18/0.49	thf(f252,plain,(
0.18/0.49	  (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
0.18/0.49	  inference(cnf_transformation,[status(thm)],[f87])).
0.18/0.49	thf(f87,plain,(
0.18/0.49	  (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
0.18/0.49	  inference(fool_elimination,[status(thm)],[f86])).
0.18/0.49	thf(f86,plain,(
0.18/0.49	  ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)),
0.18/0.49	  inference(rectify,[status(thm)],[f17])).
0.18/0.49	thf(f17,axiom,(
0.18/0.49	  ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)),
0.18/0.49	  file('/export/starexec/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p',mdia)).
0.18/0.49	thf(f255,plain,(
0.18/0.49	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.18/0.49	  inference(cnf_transformation,[status(thm)],[f89])).
0.18/0.49	thf(f89,plain,(
0.18/0.49	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.18/0.49	  inference(fool_elimination,[status(thm)],[f88])).
0.18/0.49	thf(f88,plain,(
0.18/0.49	  (mvalid = (^[X0 : $i > $o] : (! [X1 : $i] : (X0 @ X1))))),
0.18/0.49	  inference(rectify,[status(thm)],[f28])).
0.18/0.49	thf(f28,axiom,(
0.18/0.49	  (mvalid = (^[X3 : $i > $o] : (! [X2 : $i] : (X3 @ X2))))),
0.18/0.49	  file('/export/starexec/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p',mvalid)).
0.18/0.49	thf(f231,plain,(
0.18/0.49	  ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)),
0.18/0.49	  inference(cnf_transformation,[status(thm)],[f136])).
0.18/0.49	thf(f136,plain,(
0.18/0.49	  ((mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi))) = $true)),
0.18/0.49	  inference(fool_elimination,[status(thm)],[f135])).
0.18/0.49	thf(f135,plain,(
0.18/0.49	  (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))),
0.18/0.49	  inference(rectify,[status(thm)],[f73])).
0.18/0.49	thf(f73,axiom,(
0.18/0.49	  (mvalid @ (mdia @ a3 @ (likes @ piotr @ pepsi)))),
0.18/0.49	  file('/export/starexec/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p',axiom_a3_2)).
0.18/0.49	thf(f552,plain,(
0.18/0.49	  ( ! [X0 : $i] : (($false = (a3 @ sK9 @ (sK8 @ X0)))) )),
0.18/0.49	  inference(trivial_inequality_removal,[status(thm)],[f551])).
0.18/0.49	thf(f551,plain,(
0.18/0.49	  ( ! [X0 : $i] : (($false = (a3 @ sK9 @ (sK8 @ X0))) | ($true = $false)) )),
0.18/0.49	  inference(superposition,[status(thm)],[f466,f537])).
0.18/0.49	thf(f537,plain,(
0.18/0.49	  ( ! [X2 : $i,X0 : mu,X1 : mu] : (((likes @ X0 @ X1 @ X2) = $false) | ((a3 @ sK9 @ X2) = $false)) )),
0.18/0.49	  inference(trivial_inequality_removal,[status(thm)],[f535])).
0.18/0.49	thf(f535,plain,(
0.18/0.49	  ( ! [X2 : $i,X0 : mu,X1 : mu] : (((likes @ X0 @ X1 @ X2) = $false) | ((a3 @ sK9 @ X2) = $false) | ($true = $false)) )),
0.18/0.49	  inference(superposition,[status(thm)],[f398,f488])).
0.18/0.49	thf(f488,plain,(
0.18/0.49	  ( ! [X2 : mu,X1 : mu] : (($false = (possibly_likes @ X1 @ X2 @ sK9))) )),
0.18/0.49	  inference(not_proxy_clausification,[status(thm)],[f487])).
0.18/0.49	thf(f487,plain,(
0.18/0.49	  ( ! [X2 : mu,X1 : mu] : (((~ (possibly_likes @ X1 @ X2 @ sK9)) = $true)) )),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f486])).
0.18/0.49	thf(f486,plain,(
0.18/0.49	  ( ! [X2 : mu,X1 : mu] : ((((^[Y0 : mu]: (~ (possibly_likes @ X1 @ Y0 @ sK9))) @ X2) = $true)) )),
0.18/0.49	  inference(pi_clausification,[status(thm)],[f485])).
0.18/0.49	thf(f485,plain,(
0.18/0.49	  ( ! [X1 : mu] : (((!! @ mu @ (^[Y0 : mu]: (~ (possibly_likes @ X1 @ Y0 @ sK9)))) = $true)) )),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f484])).
0.18/0.49	thf(f484,plain,(
0.18/0.49	  ( ! [X1 : mu] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (possibly_likes @ Y0 @ Y1 @ sK9))))) @ X1) = $true)) )),
0.18/0.49	  inference(pi_clausification,[status(thm)],[f483])).
0.18/0.49	thf(f483,plain,(
0.18/0.49	  ((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (possibly_likes @ Y0 @ Y1 @ sK9)))))) = $true)),
0.18/0.49	  inference(not_proxy_clausification,[status(thm)],[f482])).
0.18/0.49	thf(f482,plain,(
0.18/0.49	  ((~ (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (possibly_likes @ Y0 @ Y1 @ sK9))))))) = $false)),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f481])).
0.18/0.49	thf(f481,plain,(
0.18/0.49	  (((^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0)))))))) @ sK9) = $false)),
0.18/0.49	  inference(sigma_clausification,[status(thm)],[f480])).
0.18/0.49	thf(f480,plain,(
0.18/0.49	  ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0))))))))) = $false)),
0.18/0.49	  inference(not_proxy_clausification,[status(thm)],[f297])).
0.18/0.49	thf(f297,plain,(
0.18/0.49	  ((~ (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0)))))))))) = $true)),
0.18/0.49	  inference(boolean_simplification,[status(thm)],[f296])).
0.18/0.49	thf(f296,plain,(
0.18/0.49	  ((~ (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (~ (!! @ mu @ (^[Y2 : mu]: (~ (possibly_likes @ Y1 @ Y2 @ Y0)))))))))))) = $true)),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f282])).
0.18/0.49	thf(f282,plain,(
0.18/0.49	  ((~ ((^[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)),
0.18/0.49	  inference(definition_unfolding,[status(thm)],[f234,f255,f272,f272])).
0.18/0.49	thf(f272,plain,(
0.18/0.49	  (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)))))))),
0.18/0.49	  inference(definition_unfolding,[status(thm)],[f236,f264,f230,f264])).
0.18/0.49	thf(f230,plain,(
0.18/0.49	  (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
0.18/0.49	  inference(cnf_transformation,[status(thm)],[f140])).
0.18/0.49	thf(f140,plain,(
0.18/0.49	  (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
0.18/0.49	  inference(fool_elimination,[status(thm)],[f139])).
0.18/0.49	thf(f139,plain,(
0.18/0.49	  (mforall_ind = (^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))))),
0.18/0.49	  inference(rectify,[status(thm)],[f10])).
0.18/0.49	thf(f10,axiom,(
0.18/0.49	  (mforall_ind = (^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))))),
0.18/0.49	  file('/export/starexec/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p',mforall_ind)).
0.18/0.49	thf(f236,plain,(
0.18/0.49	  (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
0.18/0.49	  inference(cnf_transformation,[status(thm)],[f111])).
0.18/0.49	thf(f111,plain,(
0.18/0.49	  (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
0.18/0.49	  inference(fool_elimination,[status(thm)],[f110])).
0.18/0.49	thf(f110,plain,(
0.18/0.49	  (mexists_ind = (^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))))),
0.18/0.49	  inference(rectify,[status(thm)],[f12])).
0.18/0.49	thf(f12,axiom,(
0.18/0.49	  (mexists_ind = (^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))))),
0.18/0.49	  file('/export/starexec/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p',mexists_ind)).
0.18/0.49	thf(f234,plain,(
0.18/0.49	  ((~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (possibly_likes @ Y0 @ Y1))))))) = $true)),
0.18/0.49	  inference(cnf_transformation,[status(thm)],[f134])).
0.18/0.49	thf(f134,plain,(
0.18/0.49	  ((~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (possibly_likes @ Y0 @ Y1))))))) = $true)),
0.18/0.49	  inference(fool_elimination,[status(thm)],[f133])).
0.18/0.49	thf(f133,plain,(
0.18/0.49	  ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (possibly_likes @ X0 @ X1))))))),
0.18/0.49	  inference(rectify,[status(thm)],[f48])).
0.18/0.49	thf(f48,negated_conjecture,(
0.18/0.49	  ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (possibly_likes @ X0 @ X1))))))),
0.18/0.49	  inference(negated_conjecture,[status(cth)],[f47])).
0.18/0.49	thf(f47,conjecture,(
0.18/0.49	  (mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (possibly_likes @ X0 @ X1))))))),
0.18/0.49	  file('/export/starexec/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p',conj)).
0.18/0.49	thf(f398,plain,(
0.18/0.49	  ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ((a3 @ X1 @ X4) = $false) | ((likes @ X2 @ X3 @ X4) = $false)) )),
0.18/0.49	  inference(not_proxy_clausification,[status(thm)],[f397])).
0.18/0.49	thf(f397,plain,(
0.18/0.49	  ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((~ (a3 @ X1 @ X4)) = $true) | ((likes @ X2 @ X3 @ X4) = $false) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )),
0.18/0.49	  inference(not_proxy_clausification,[status(thm)],[f396])).
0.18/0.49	thf(f396,plain,(
0.18/0.49	  ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ((~ (likes @ X2 @ X3 @ X4)) = $true) | ((~ (a3 @ X1 @ X4)) = $true)) )),
0.18/0.49	  inference(binary_proxy_clausification,[status(thm)],[f395])).
0.18/0.49	thf(f395,plain,(
0.18/0.49	  ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : ((((~ (likes @ X2 @ X3 @ X4)) | (~ (a3 @ X1 @ X4))) = $true) | ((possibly_likes @ X2 @ X3 @ X1) = $true)) )),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f394])).
0.18/0.49	thf(f394,plain,(
0.18/0.49	  ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | (((^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0)))) @ X4) = $true)) )),
0.18/0.49	  inference(pi_clausification,[status(thm)],[f393])).
0.18/0.49	thf(f393,plain,(
0.18/0.49	  ( ! [X2 : mu,X3 : mu,X1 : $i] : (((possibly_likes @ X2 @ X3 @ X1) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0))))) = $true)) )),
0.18/0.49	  inference(binary_proxy_clausification,[status(thm)],[f392])).
0.18/0.49	thf(f392,plain,(
0.18/0.49	  ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0))))) | (possibly_likes @ X2 @ X3 @ X1)) = $true)) )),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f391])).
0.18/0.49	thf(f391,plain,(
0.18/0.49	  ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1))) @ X3) = $true)) )),
0.18/0.49	  inference(pi_clausification,[status(thm)],[f390])).
0.18/0.49	thf(f390,plain,(
0.18/0.49	  ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1)))) = $true)) )),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f389])).
0.18/0.49	thf(f389,plain,(
0.18/0.49	  ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1))))) @ X2) = $true)) )),
0.18/0.49	  inference(pi_clausification,[status(thm)],[f388])).
0.18/0.49	thf(f388,plain,(
0.18/0.49	  ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1)))))) = $true)) )),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f387])).
0.18/0.49	thf(f387,plain,(
0.18/0.49	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0))))))) @ X1) = $true)) )),
0.18/0.49	  inference(pi_clausification,[status(thm)],[f312])).
0.18/0.49	thf(f312,plain,(
0.18/0.49	  ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))) = $true)),
0.18/0.49	  inference(boolean_simplification,[status(thm)],[f311])).
0.18/0.49	thf(f311,plain,(
0.18/0.49	  ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))) = $true)),
0.18/0.49	  inference(beta_eta_normalization,[status(thm)],[f285])).
0.18/0.49	thf(f285,plain,(
0.18/0.49	  (((^[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]: ((Y5 @ Y7) | (~ (Y4 @ Y6 @ Y7)))))))))) @ Y2 @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)),
0.18/0.49	  inference(definition_unfolding,[status(thm)],[f241,f255,f230,f230,f268,f273])).
0.18/0.49	thf(f268,plain,(
0.18/0.49	  (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)))))),
0.18/0.49	  inference(definition_unfolding,[status(thm)],[f263,f240,f264])).
0.18/0.49	thf(f240,plain,(
0.18/0.49	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.18/0.49	  inference(cnf_transformation,[status(thm)],[f146])).
0.18/0.49	thf(f146,plain,(
0.18/0.49	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.18/0.49	  inference(fool_elimination,[status(thm)],[f145])).
0.18/0.49	thf(f145,plain,(
0.18/0.49	  (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
0.18/0.49	  inference(rectify,[status(thm)],[f4])).
0.18/0.49	thf(f4,axiom,(
0.18/0.49	  (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
0.18/0.49	  file('/export/starexec/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p',mor)).
0.18/0.49	thf(f263,plain,(
0.18/0.49	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.18/0.49	  inference(cnf_transformation,[status(thm)],[f189])).
0.18/0.49	thf(f189,plain,(
0.18/0.49	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.18/0.49	  inference(fool_elimination,[status(thm)],[f188])).
0.18/0.49	thf(f188,plain,(
0.18/0.49	  (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
0.18/0.49	  inference(rectify,[status(thm)],[f6])).
0.18/0.49	thf(f6,axiom,(
0.18/0.49	  (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
0.18/0.49	  file('/export/starexec/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p',mimplies)).
0.18/0.49	thf(f241,plain,(
0.18/0.49	  ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)),
0.18/0.49	  inference(cnf_transformation,[status(thm)],[f171])).
0.18/0.49	thf(f171,plain,(
0.18/0.49	  ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)),
0.18/0.49	  inference(fool_elimination,[status(thm)],[f170])).
0.18/0.49	thf(f170,plain,(
0.18/0.49	  (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
0.18/0.49	  inference(rectify,[status(thm)],[f60])).
0.18/0.49	thf(f60,axiom,(
0.18/0.49	  (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
0.18/0.49	  file('/export/starexec/sandbox/tmp/tmp.unjXW96CtL/E---3.1_2141.p',axiom_user_communication_5)).
0.18/0.49	thf(f466,plain,(
0.18/0.49	  ( ! [X1 : $i] : (((likes @ piotr @ pepsi @ (sK8 @ X1)) = $true)) )),
0.18/0.49	  inference(not_proxy_clausification,[status(thm)],[f465])).
0.18/0.49	thf(f465,plain,(
0.18/0.49	  ( ! [X1 : $i] : (((~ (likes @ piotr @ pepsi @ (sK8 @ X1))) = $false)) )),
0.18/0.49	  inference(binary_proxy_clausification,[status(thm)],[f463])).
0.18/0.49	% SZS output end Proof for E---3.1_2141
0.18/0.49	% (2275)------------------------------
0.18/0.49	% (2275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.18/0.49	% (2275)Termination reason: Refutation
0.18/0.49	
0.18/0.49	% (2275)Memory used [KB]: 6012
0.18/0.49	% (2275)Time elapsed: 0.033 s
0.18/0.49	% (2275)Instructions burned: 59 (million)
0.18/0.49	% (2275)------------------------------
0.18/0.49	% (2275)------------------------------
0.18/0.49	% (2247)Success in time 0.13 s
0.18/0.49	EOF