0.08/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.12	% Command    : run_vampire %s %d THM
0.12/0.32	% Computer   : n025.cluster.edu
0.12/0.32	% Model      : x86_64 x86_64
0.12/0.32	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory     : 8042.1875MB
0.12/0.32	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit   : 1920
0.12/0.32	% WCLimit    : 240
0.12/0.32	% DateTime   : Wed Jul 30 02:08:04 EDT 2025
0.12/0.32	% CPUTime    : 
0.12/0.33	This is a THF_ problem
0.12/0.34	Running higher-order theorem proving
0.12/0.34	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.Cl5JExJw2S/E---3.1_8066.p -m 16384 -t 240
0.12/0.36	% (8251)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_8066 for (2399ds/183Mi)
0.12/0.38	% (8254)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_8066 for (2399ds/2Mi)
0.12/0.38	% (8257)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_8066 for (2399ds/18Mi)
0.12/0.38	% (8252)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_8066 for (2399ds/4Mi)
0.12/0.38	% (8255)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_8066 for (2399ds/2Mi)
0.12/0.38	% (8253)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_8066 for (2399ds/27Mi)
0.12/0.38	% (8256)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_8066 for (2399ds/275Mi)
0.12/0.38	% (8254)Instruction limit reached!
0.12/0.38	% (8254)------------------------------
0.12/0.38	% (8254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.12/0.38	% (8255)Instruction limit reached!
0.12/0.38	% (8255)------------------------------
0.12/0.38	% (8255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.12/0.38	% (8255)Termination reason: Unknown
0.12/0.38	% (8255)Termination phase: shuffling
0.12/0.38	
0.12/0.38	% (8255)Memory used [KB]: 1023
0.12/0.38	% (8255)Time elapsed: 0.004 s
0.12/0.38	% (8255)Instructions burned: 2 (million)
0.12/0.38	% (8255)------------------------------
0.12/0.38	% (8255)------------------------------
0.12/0.38	% (8254)Termination reason: Unknown
0.12/0.38	% (8254)Termination phase: shuffling
0.12/0.38	
0.12/0.38	% (8254)Memory used [KB]: 1023
0.12/0.38	% (8254)Time elapsed: 0.004 s
0.12/0.38	% (8254)Instructions burned: 2 (million)
0.12/0.38	% (8254)------------------------------
0.12/0.38	% (8254)------------------------------
0.12/0.38	% (8252)Instruction limit reached!
0.12/0.38	% (8252)------------------------------
0.12/0.38	% (8252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.12/0.38	% (8252)Termination reason: Unknown
0.12/0.38	% (8252)Termination phase: shuffling
0.12/0.38	
0.12/0.38	% (8252)Memory used [KB]: 1151
0.12/0.38	% (8252)Time elapsed: 0.006 s
0.12/0.38	% (8252)Instructions burned: 4 (million)
0.12/0.38	% (8252)------------------------------
0.12/0.38	% (8252)------------------------------
0.12/0.39	% (8256)Refutation not found, incomplete strategy
0.12/0.39	% (8256)------------------------------
0.12/0.39	% (8256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.12/0.39	% (8256)Termination reason: Refutation not found, incomplete strategy
0.12/0.39	
0.12/0.39	
0.12/0.39	% (8256)Memory used [KB]: 5628
0.12/0.39	% (8256)Time elapsed: 0.016 s
0.12/0.39	% (8256)Instructions burned: 15 (million)
0.12/0.39	% (8256)------------------------------
0.12/0.39	% (8256)------------------------------
0.12/0.39	% (8257)Instruction limit reached!
0.12/0.39	% (8257)------------------------------
0.12/0.39	% (8257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.12/0.39	% (8257)Termination reason: Unknown
0.12/0.39	% (8257)Termination phase: Property scanning
0.12/0.39	
0.12/0.39	% (8257)Memory used [KB]: 1151
0.12/0.39	% (8257)Time elapsed: 0.017 s
0.12/0.39	% (8257)Instructions burned: 18 (million)
0.12/0.39	% (8257)------------------------------
0.12/0.39	% (8257)------------------------------
0.19/0.40	% (8253)Instruction limit reached!
0.19/0.40	% (8253)------------------------------
0.19/0.40	% (8253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.40	% (8253)Termination reason: Unknown
0.19/0.40	% (8253)Termination phase: Saturation
0.19/0.40	
0.19/0.40	% (8253)Memory used [KB]: 5756
0.19/0.40	% (8253)Time elapsed: 0.023 s
0.19/0.40	% (8253)Instructions burned: 28 (million)
0.19/0.40	% (8253)------------------------------
0.19/0.40	% (8253)------------------------------
0.19/0.40	% (8264)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_8066 for (2399ds/3Mi)
0.19/0.40	% (8265)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_8066 for (2399ds/37Mi)
0.19/0.41	% (8264)Instruction limit reached!
0.19/0.41	% (8264)------------------------------
0.19/0.41	% (8264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.41	% (8264)Termination reason: Unknown
0.19/0.41	% (8264)Termination phase: shuffling
0.19/0.41	
0.19/0.41	% (8264)Memory used [KB]: 1023
0.19/0.41	% (8264)Time elapsed: 0.005 s
0.19/0.41	% (8264)Instructions burned: 3 (million)
0.19/0.41	% (8264)------------------------------
0.19/0.41	% (8264)------------------------------
0.19/0.41	% (8266)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_8066 for (2399ds/15Mi)
0.19/0.42	% (8269)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_8066 for (2399ds/3Mi)
0.19/0.42	% (8269)Instruction limit reached!
0.19/0.42	% (8269)------------------------------
0.19/0.42	% (8269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.42	% (8269)Termination reason: Unknown
0.19/0.42	% (8269)Termination phase: shuffling
0.19/0.42	
0.19/0.42	% (8269)Memory used [KB]: 1023
0.19/0.42	% (8269)Time elapsed: 0.003 s
0.19/0.42	% (8269)Instructions burned: 3 (million)
0.19/0.42	% (8269)------------------------------
0.19/0.42	% (8269)------------------------------
0.19/0.42	% (8270)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_8066 for (2399ds/1041Mi)
0.19/0.42	% (8273)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_8066 for (2399ds/7Mi)
0.19/0.42	% (8266)Instruction limit reached!
0.19/0.42	% (8266)------------------------------
0.19/0.42	% (8266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.42	% (8266)Termination reason: Unknown
0.19/0.42	% (8266)Termination phase: Property scanning
0.19/0.42	
0.19/0.42	% (8266)Memory used [KB]: 1151
0.19/0.42	% (8266)Time elapsed: 0.013 s
0.19/0.42	% (8266)Instructions burned: 15 (million)
0.19/0.42	% (8266)------------------------------
0.19/0.42	% (8266)------------------------------
0.19/0.42	% (8265)Instruction limit reached!
0.19/0.42	% (8265)------------------------------
0.19/0.42	% (8265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.42	% (8265)Termination reason: Unknown
0.19/0.42	% (8265)Termination phase: Saturation
0.19/0.42	
0.19/0.42	% (8265)Memory used [KB]: 5884
0.19/0.42	% (8265)Time elapsed: 0.020 s
0.19/0.42	% (8265)Instructions burned: 38 (million)
0.19/0.42	% (8265)------------------------------
0.19/0.42	% (8265)------------------------------
0.19/0.42	% (8273)Instruction limit reached!
0.19/0.42	% (8273)------------------------------
0.19/0.42	% (8273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.42	% (8273)Termination reason: Unknown
0.19/0.42	% (8273)Termination phase: Property scanning
0.19/0.42	
0.19/0.42	% (8273)Memory used [KB]: 1151
0.19/0.42	% (8273)Time elapsed: 0.005 s
0.19/0.42	% (8273)Instructions burned: 7 (million)
0.19/0.42	% (8273)------------------------------
0.19/0.42	% (8273)------------------------------
0.19/0.42	% (8274)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_8066 for (2399ds/16Mi)
0.19/0.43	% (8274)Instruction limit reached!
0.19/0.43	% (8274)------------------------------
0.19/0.43	% (8274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.43	% (8274)Termination reason: Unknown
0.19/0.43	% (8274)Termination phase: Property scanning
0.19/0.43	
0.19/0.43	% (8274)Memory used [KB]: 1151
0.19/0.43	% (8274)Time elapsed: 0.010 s
0.19/0.43	% (8274)Instructions burned: 17 (million)
0.19/0.43	% (8274)------------------------------
0.19/0.43	% (8274)------------------------------
0.19/0.44	% (8277)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_8066 for (2399ds/3Mi)
0.19/0.44	% (8278)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_8066 for (2399ds/7Mi)
0.19/0.44	% (8277)Instruction limit reached!
0.19/0.44	% (8277)------------------------------
0.19/0.44	% (8277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.44	% (8277)Termination reason: Unknown
0.19/0.44	% (8277)Termination phase: shuffling
0.19/0.44	
0.19/0.44	% (8277)Memory used [KB]: 1023
0.19/0.44	% (8277)Time elapsed: 0.004 s
0.19/0.44	% (8277)Instructions burned: 4 (million)
0.19/0.44	% (8277)------------------------------
0.19/0.44	% (8277)------------------------------
0.19/0.44	% (8281)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_8066 for (2399ds/3Mi)
0.19/0.44	% (8281)Instruction limit reached!
0.19/0.44	% (8281)------------------------------
0.19/0.44	% (8281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.44	% (8251)Instruction limit reached!
0.19/0.44	% (8251)------------------------------
0.19/0.44	% (8251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.44	% (8251)Termination reason: Unknown
0.19/0.44	% (8251)Termination phase: Saturation
0.19/0.44	
0.19/0.44	% (8251)Memory used [KB]: 6652
0.19/0.44	% (8251)Time elapsed: 0.087 s
0.19/0.44	% (8251)Instructions burned: 184 (million)
0.19/0.44	% (8251)------------------------------
0.19/0.44	% (8251)------------------------------
0.19/0.44	% (8281)Termination reason: Unknown
0.19/0.44	% (8281)Termination phase: shuffling
0.19/0.44	
0.19/0.44	% (8281)Memory used [KB]: 1151
0.19/0.44	% (8281)Time elapsed: 0.004 s
0.19/0.44	% (8281)Instructions burned: 5 (million)
0.19/0.44	% (8281)------------------------------
0.19/0.44	% (8281)------------------------------
0.19/0.44	% (8278)Instruction limit reached!
0.19/0.44	% (8278)------------------------------
0.19/0.44	% (8278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.44	% (8278)Termination reason: Unknown
0.19/0.44	% (8278)Termination phase: Property scanning
0.19/0.44	
0.19/0.44	% (8278)Memory used [KB]: 1151
0.19/0.44	% (8278)Time elapsed: 0.006 s
0.19/0.44	% (8278)Instructions burned: 9 (million)
0.19/0.44	% (8278)------------------------------
0.19/0.44	% (8278)------------------------------
0.19/0.44	% (8275)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_8066 for (2399ds/3Mi)
0.19/0.45	% (8275)Instruction limit reached!
0.19/0.45	% (8275)------------------------------
0.19/0.45	% (8275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.45	% (8275)Termination reason: Unknown
0.19/0.45	% (8275)Termination phase: shuffling
0.19/0.45	
0.19/0.45	% (8275)Memory used [KB]: 1023
0.19/0.45	% (8275)Time elapsed: 0.005 s
0.19/0.45	% (8275)Instructions burned: 3 (million)
0.19/0.45	% (8275)------------------------------
0.19/0.45	% (8275)------------------------------
0.19/0.45	% (8283)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_8066 for (2399ds/4Mi)
0.19/0.45	% (8283)Instruction limit reached!
0.19/0.45	% (8283)------------------------------
0.19/0.45	% (8283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.45	% (8283)Termination reason: Unknown
0.19/0.45	% (8283)Termination phase: shuffling
0.19/0.45	
0.19/0.45	% (8283)Memory used [KB]: 1023
0.19/0.45	% (8283)Time elapsed: 0.004 s
0.19/0.45	% (8283)Instructions burned: 4 (million)
0.19/0.45	% (8283)------------------------------
0.19/0.45	% (8283)------------------------------
0.19/0.46	% (8284)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_8066 for (2399ds/18Mi)
0.19/0.46	% (8285)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_8066 for (2399ds/710Mi)
0.19/0.46	% (8286)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_8066 for (2399ds/6Mi)
0.19/0.46	% (8287)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_8066 for (2399ds/902Mi)
0.19/0.46	% (8286)Instruction limit reached!
0.19/0.46	% (8286)------------------------------
0.19/0.46	% (8286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.46	% (8286)Termination reason: Unknown
0.19/0.46	% (8286)Termination phase: shuffling
0.19/0.46	
0.19/0.46	% (8286)Memory used [KB]: 1151
0.19/0.46	% (8286)Time elapsed: 0.005 s
0.19/0.46	% (8286)Instructions burned: 7 (million)
0.19/0.46	% (8286)------------------------------
0.19/0.46	% (8286)------------------------------
0.19/0.47	% (8284)Instruction limit reached!
0.19/0.47	% (8284)------------------------------
0.19/0.47	% (8284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.47	% (8284)Termination reason: Unknown
0.19/0.47	% (8284)Termination phase: Saturation
0.19/0.47	
0.19/0.47	% (8284)Memory used [KB]: 5628
0.19/0.47	% (8284)Time elapsed: 0.011 s
0.19/0.47	% (8284)Instructions burned: 18 (million)
0.19/0.47	% (8284)------------------------------
0.19/0.47	% (8284)------------------------------
0.19/0.47	% (8287)Refutation not found, incomplete strategy
0.19/0.47	% (8287)------------------------------
0.19/0.47	% (8287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.47	% (8287)Termination reason: Refutation not found, incomplete strategy
0.19/0.47	
0.19/0.47	
0.19/0.47	% (8287)Memory used [KB]: 5628
0.19/0.47	% (8287)Time elapsed: 0.010 s
0.19/0.47	% (8287)Instructions burned: 17 (million)
0.19/0.47	% (8287)------------------------------
0.19/0.47	% (8287)------------------------------
0.19/0.47	% (8291)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_8066 for (2399ds/5Mi)
0.19/0.47	% (8291)Instruction limit reached!
0.19/0.47	% (8291)------------------------------
0.19/0.47	% (8291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.47	% (8291)Termination reason: Unknown
0.19/0.47	% (8291)Termination phase: shuffling
0.19/0.47	
0.19/0.47	% (8291)Memory used [KB]: 1151
0.19/0.47	% (8291)Time elapsed: 0.004 s
0.19/0.47	% (8291)Instructions burned: 5 (million)
0.19/0.47	% (8291)------------------------------
0.19/0.47	% (8291)------------------------------
0.19/0.47	% (8290)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_8066 for (2399ds/21Mi)
0.19/0.48	% (8294)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_8066 for (2398ds/6Mi)
0.19/0.48	% (8294)Instruction limit reached!
0.19/0.48	% (8294)------------------------------
0.19/0.48	% (8294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.48	% (8294)Termination reason: Unknown
0.19/0.48	% (8294)Termination phase: Property scanning
0.19/0.48	
0.19/0.48	% (8294)Memory used [KB]: 1151
0.19/0.48	% (8294)Time elapsed: 0.003 s
0.19/0.48	% (8294)Instructions burned: 7 (million)
0.19/0.48	% (8294)------------------------------
0.19/0.48	% (8294)------------------------------
0.19/0.48	% (8296)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_8066 for (2398ds/377Mi)
0.19/0.48	% (8285)Refutation not found, incomplete strategy
0.19/0.48	% (8285)------------------------------
0.19/0.48	% (8285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.48	% (8285)Termination reason: Refutation not found, incomplete strategy
0.19/0.48	
0.19/0.48	
0.19/0.48	% (8285)Memory used [KB]: 5884
0.19/0.48	% (8285)Time elapsed: 0.023 s
0.19/0.48	% (8285)Instructions burned: 49 (million)
0.19/0.48	% (8285)------------------------------
0.19/0.48	% (8285)------------------------------
0.19/0.48	% (8297)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_8066 for (2398ds/779Mi)
0.19/0.48	% (8290)Instruction limit reached!
0.19/0.48	% (8290)------------------------------
0.19/0.48	% (8290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.48	% (8290)Termination reason: Unknown
0.19/0.48	% (8290)Termination phase: Property scanning
0.19/0.48	
0.19/0.48	% (8290)Memory used [KB]: 1151
0.19/0.48	% (8290)Time elapsed: 0.011 s
0.19/0.48	% (8290)Instructions burned: 23 (million)
0.19/0.48	% (8290)------------------------------
0.19/0.48	% (8290)------------------------------
0.19/0.48	% (8299)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_8066 for (2398ds/19Mi)
0.19/0.49	% (8300)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_8066 for (2398ds/879Mi)
0.19/0.49	% (8299)Instruction limit reached!
0.19/0.49	% (8299)------------------------------
0.19/0.49	% (8299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.49	% (8299)Termination reason: Unknown
0.19/0.49	% (8299)Termination phase: Saturation
0.19/0.49	
0.19/0.49	% (8299)Memory used [KB]: 5756
0.19/0.49	% (8299)Time elapsed: 0.008 s
0.19/0.49	% (8299)Instructions burned: 20 (million)
0.19/0.49	% (8299)------------------------------
0.19/0.49	% (8299)------------------------------
0.19/0.49	% (8301)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_8066 for (2398ds/17Mi)
0.19/0.49	% (8302)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_8066 for (2398ds/3Mi)
0.19/0.49	% (8302)Instruction limit reached!
0.19/0.49	% (8302)------------------------------
0.19/0.49	% (8302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.49	% (8302)Termination reason: Unknown
0.19/0.49	% (8302)Termination phase: shuffling
0.19/0.49	
0.19/0.49	% (8302)Memory used [KB]: 1151
0.19/0.49	% (8302)Time elapsed: 0.003 s
0.19/0.49	% (8302)Instructions burned: 4 (million)
0.19/0.49	% (8302)------------------------------
0.19/0.49	% (8302)------------------------------
0.19/0.50	% (8301)Instruction limit reached!
0.19/0.50	% (8301)------------------------------
0.19/0.50	% (8301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.50	% (8301)Termination reason: Unknown
0.19/0.50	% (8301)Termination phase: Property scanning
0.19/0.50	
0.19/0.50	% (8301)Memory used [KB]: 1151
0.19/0.50	% (8301)Time elapsed: 0.007 s
0.19/0.50	% (8301)Instructions burned: 19 (million)
0.19/0.50	% (8301)------------------------------
0.19/0.50	% (8301)------------------------------
0.19/0.50	% (8303)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_8066 for (2398ds/30Mi)
0.19/0.50	% (8297)First to succeed.
0.19/0.50	% (8300)Refutation not found, incomplete strategy
0.19/0.50	% (8300)------------------------------
0.19/0.50	% (8300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.50	% (8300)Termination reason: Refutation not found, incomplete strategy
0.19/0.50	
0.19/0.50	
0.19/0.50	% (8300)Memory used [KB]: 5884
0.19/0.50	% (8300)Time elapsed: 0.014 s
0.19/0.50	% (8300)Instructions burned: 39 (million)
0.19/0.50	% (8300)------------------------------
0.19/0.50	% (8300)------------------------------
0.19/0.50	% (8297)Refutation found. Thanks to Tanya!
0.19/0.50	% SZS status Theorem for E---3.1_8066
0.19/0.50	% SZS output start Proof for E---3.1_8066
0.19/0.50	thf(type_def_5, type, mu: $tType).
0.19/0.50	thf(func_def_0, type, mu: $tType).
0.19/0.50	thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
0.19/0.50	thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
0.19/0.50	thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
0.19/0.50	thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.19/0.50	thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
0.19/0.50	thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.19/0.50	thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
0.19/0.50	thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
0.19/0.50	thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
0.19/0.50	thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.19/0.50	thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
0.19/0.50	thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
0.19/0.50	thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
0.19/0.50	thf(func_def_15, type, mtrue: $i > $o).
0.19/0.50	thf(func_def_16, type, mfalse: $i > $o).
0.19/0.50	thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
0.19/0.50	thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
0.19/0.50	thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_29, type, mvalid: ($i > $o) > $o).
0.19/0.50	thf(func_def_30, type, minvalid: ($i > $o) > $o).
0.19/0.50	thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
0.19/0.50	thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
0.19/0.50	thf(func_def_33, type, a1: $i > $i > $o).
0.19/0.50	thf(func_def_34, type, a2: $i > $i > $o).
0.19/0.50	thf(func_def_35, type, a3: $i > $i > $o).
0.19/0.50	thf(func_def_36, type, jan: mu).
0.19/0.50	thf(func_def_37, type, piotr: mu).
0.19/0.50	thf(func_def_38, type, cola: mu).
0.19/0.50	thf(func_def_39, type, pepsi: mu).
0.19/0.50	thf(func_def_40, type, beer: mu).
0.19/0.50	thf(func_def_41, type, likes: mu > mu > $i > $o).
0.19/0.50	thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
0.19/0.50	thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
0.19/0.50	thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o).
0.19/0.50	thf(func_def_62, type, sK1: $i > $i).
0.19/0.50	thf(func_def_63, type, sK2: mu > $i > mu > $i).
0.19/0.50	thf(func_def_64, type, sK3: mu > $i > mu > $i).
0.19/0.50	thf(func_def_65, type, sK4: $i > $i).
0.19/0.50	thf(func_def_66, type, sK5: $i > $i).
0.19/0.50	thf(func_def_67, type, sK6: mu > $i > mu > $i).
0.19/0.50	thf(func_def_68, type, sK7: $i > $i).
0.19/0.50	thf(func_def_70, type, sK9: $i > $i).
0.19/0.50	thf(f594,plain,(
0.19/0.50	  $false),
0.19/0.50	  inference(trivial_inequality_removal,[status(thm)],[f589])).
0.19/0.50	thf(f589,plain,(
0.19/0.50	  ($true = $false)),
0.19/0.50	  inference(superposition,[status(thm)],[f586,f369])).
0.19/0.50	thf(f369,plain,(
0.19/0.50	  ( ! [X1 : $i] : (($true = (a1 @ X1 @ (sK4 @ X1)))) )),
0.19/0.50	  inference(not_proxy_clausification,[status(thm)],[f366])).
0.19/0.50	thf(f366,plain,(
0.19/0.50	  ( ! [X1 : $i] : (((~ (a1 @ X1 @ (sK4 @ X1))) = $false)) )),
0.19/0.50	  inference(binary_proxy_clausification,[status(thm)],[f365])).
0.19/0.50	thf(f365,plain,(
0.19/0.50	  ( ! [X1 : $i] : ((((~ (likes @ piotr @ beer @ (sK4 @ X1))) | (~ (a1 @ X1 @ (sK4 @ X1)))) = $false)) )),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f364])).
0.19/0.50	thf(f364,plain,(
0.19/0.50	  ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0)))) @ (sK4 @ X1)) = $false)) )),
0.19/0.50	  inference(sigma_clausification,[status(thm)],[f363])).
0.19/0.50	thf(f363,plain,(
0.19/0.50	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0))))) = $false)) )),
0.19/0.50	  inference(not_proxy_clausification,[status(thm)],[f362])).
0.19/0.50	thf(f362,plain,(
0.19/0.50	  ( ! [X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0)))))) = $true)) )),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f361])).
0.19/0.50	thf(f361,plain,(
0.19/0.50	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ beer @ Y1)) | (~ (a1 @ Y0 @ Y1))))))) @ X1) = $true)) )),
0.19/0.50	  inference(pi_clausification,[status(thm)],[f322])).
0.19/0.50	thf(f322,plain,(
0.19/0.50	  ($true = (!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ beer @ Y1)) | (~ (a1 @ Y0 @ Y1)))))))))),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f282])).
0.19/0.50	thf(f282,plain,(
0.19/0.50	  ($true = ((^[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)))))) @ a1 @ (likes @ piotr @ beer))))),
0.19/0.50	  inference(definition_unfolding,[status(thm)],[f243,f240,f274])).
0.19/0.50	thf(f274,plain,(
0.19/0.50	  (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)))))))),
0.19/0.50	  inference(definition_unfolding,[status(thm)],[f233,f234,f264,f234])).
0.19/0.50	thf(f264,plain,(
0.19/0.50	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
0.19/0.50	  inference(cnf_transformation,[status(thm)],[f147])).
0.19/0.50	thf(f147,plain,(
0.19/0.50	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
0.19/0.50	  inference(fool_elimination,[status(thm)],[f146])).
0.19/0.50	thf(f146,plain,(
0.19/0.50	  (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3 : $i] : (~(X0 @ X2 @ X3) | (X1 @ X3)))))),
0.19/0.50	  inference(rectify,[status(thm)],[f16])).
0.19/0.50	thf(f16,axiom,(
0.19/0.50	  (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7 : $i] : (~(X6 @ X2 @ X7) | (X3 @ X7)))))),
0.19/0.50	  file('/export/starexec/sandbox2/tmp/tmp.Cl5JExJw2S/E---3.1_8066.p',mbox)).
0.19/0.50	thf(f234,plain,(
0.19/0.50	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.19/0.50	  inference(cnf_transformation,[status(thm)],[f141])).
0.19/0.50	thf(f141,plain,(
0.19/0.50	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
0.19/0.50	  inference(fool_elimination,[status(thm)],[f140])).
0.19/0.50	thf(f140,plain,(
0.19/0.50	  (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
0.19/0.50	  inference(rectify,[status(thm)],[f3])).
0.19/0.50	thf(f3,axiom,(
0.19/0.50	  (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
0.19/0.50	  file('/export/starexec/sandbox2/tmp/tmp.Cl5JExJw2S/E---3.1_8066.p',mnot)).
0.19/0.50	thf(f233,plain,(
0.19/0.50	  (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
0.19/0.50	  inference(cnf_transformation,[status(thm)],[f94])).
0.19/0.50	thf(f94,plain,(
0.19/0.50	  (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
0.19/0.50	  inference(fool_elimination,[status(thm)],[f93])).
0.19/0.50	thf(f93,plain,(
0.19/0.50	  (mdia = (^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))))),
0.19/0.50	  inference(rectify,[status(thm)],[f17])).
0.19/0.50	thf(f17,axiom,(
0.19/0.50	  (mdia = (^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))))),
0.19/0.50	  file('/export/starexec/sandbox2/tmp/tmp.Cl5JExJw2S/E---3.1_8066.p',mdia)).
0.19/0.50	thf(f240,plain,(
0.19/0.50	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.19/0.50	  inference(cnf_transformation,[status(thm)],[f171])).
0.19/0.50	thf(f171,plain,(
0.19/0.50	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
0.19/0.50	  inference(fool_elimination,[status(thm)],[f170])).
0.19/0.50	thf(f170,plain,(
0.19/0.50	  ((^[X0 : $i > $o] : (! [X1 : $i] : (X0 @ X1))) = mvalid)),
0.19/0.50	  inference(rectify,[status(thm)],[f28])).
0.19/0.50	thf(f28,axiom,(
0.19/0.50	  ((^[X3 : $i > $o] : (! [X2 : $i] : (X3 @ X2))) = mvalid)),
0.19/0.50	  file('/export/starexec/sandbox2/tmp/tmp.Cl5JExJw2S/E---3.1_8066.p',mvalid)).
0.19/0.50	thf(f243,plain,(
0.19/0.50	  ((mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))) = $true)),
0.19/0.50	  inference(cnf_transformation,[status(thm)],[f137])).
0.19/0.50	thf(f137,plain,(
0.19/0.50	  ((mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))) = $true)),
0.19/0.50	  inference(fool_elimination,[status(thm)],[f136])).
0.19/0.50	thf(f136,plain,(
0.19/0.50	  (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer)))),
0.19/0.50	  inference(rectify,[status(thm)],[f71])).
0.19/0.50	thf(f71,axiom,(
0.19/0.50	  (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer)))),
0.19/0.50	  file('/export/starexec/sandbox2/tmp/tmp.Cl5JExJw2S/E---3.1_8066.p',axiom_a3_3)).
0.19/0.50	thf(f586,plain,(
0.19/0.50	  ( ! [X0 : $i] : (((a1 @ sK8 @ X0) = $false)) )),
0.19/0.50	  inference(trivial_inequality_removal,[status(thm)],[f581])).
0.19/0.50	thf(f581,plain,(
0.19/0.50	  ( ! [X0 : $i] : (($false != $false) | ((a1 @ sK8 @ X0) = $false)) )),
0.19/0.50	  inference(equality_factoring,[status(thm)],[f571])).
0.19/0.50	thf(f571,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : (((a1 @ sK8 @ X0) = $false) | ((a1 @ X1 @ X0) = $false)) )),
0.19/0.50	  inference(trivial_inequality_removal,[status(thm)],[f567])).
0.19/0.50	thf(f567,plain,(
0.19/0.50	  ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((a1 @ X1 @ X0) = $false) | ((a1 @ sK8 @ X0) = $false)) )),
0.19/0.50	  inference(superposition,[status(thm)],[f559,f450])).
0.19/0.50	thf(f450,plain,(
0.19/0.50	  ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X2)) | ((a1 @ X1 @ X2) = $false)) )),
0.19/0.50	  inference(not_proxy_clausification,[status(thm)],[f449])).
0.19/0.50	thf(f449,plain,(
0.19/0.50	  ( ! [X2 : $i,X1 : $i] : (($true = (~ (a1 @ X1 @ X2))) | ($true = (likes @ jan @ cola @ X2))) )),
0.19/0.50	  inference(binary_proxy_clausification,[status(thm)],[f448])).
0.19/0.50	thf(f448,plain,(
0.19/0.50	  ( ! [X2 : $i,X1 : $i] : (($true = ((likes @ jan @ cola @ X2) | (~ (a1 @ X1 @ X2))))) )),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f447])).
0.19/0.50	thf(f447,plain,(
0.19/0.50	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a1 @ X1 @ Y0)))) @ X2))) )),
0.19/0.50	  inference(pi_clausification,[status(thm)],[f446])).
0.19/0.50	thf(f446,plain,(
0.19/0.50	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a1 @ X1 @ Y0))))))) )),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f445])).
0.19/0.50	thf(f445,plain,(
0.19/0.50	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1)))))) @ X1))) )),
0.19/0.50	  inference(pi_clausification,[status(thm)],[f310])).
0.19/0.50	thf(f310,plain,(
0.19/0.50	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1))))))))),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f290])).
0.19/0.50	thf(f290,plain,(
0.19/0.50	  ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a1 @ (likes @ jan @ cola))))),
0.19/0.50	  inference(definition_unfolding,[status(thm)],[f257,f240,f264])).
0.19/0.50	thf(f257,plain,(
0.19/0.50	  ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)),
0.19/0.50	  inference(cnf_transformation,[status(thm)],[f204])).
0.19/0.50	thf(f204,plain,(
0.19/0.50	  ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)),
0.19/0.50	  inference(fool_elimination,[status(thm)],[f203])).
0.19/0.50	thf(f203,plain,(
0.19/0.50	  (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))),
0.19/0.50	  inference(rectify,[status(thm)],[f39])).
0.19/0.50	thf(f39,axiom,(
0.19/0.50	  (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))),
0.19/0.50	  file('/export/starexec/sandbox2/tmp/tmp.Cl5JExJw2S/E---3.1_8066.p',axiom_a1_1)).
0.19/0.50	thf(f559,plain,(
0.19/0.50	  ( ! [X0 : $i] : (($false = (likes @ jan @ cola @ X0)) | ((a1 @ sK8 @ X0) = $false)) )),
0.19/0.50	  inference(trivial_inequality_removal,[status(thm)],[f557])).
0.19/0.50	thf(f557,plain,(
0.19/0.50	  ( ! [X0 : $i] : (((a1 @ sK8 @ X0) = $false) | ($true = $false) | ($false = (likes @ jan @ cola @ X0))) )),
0.19/0.50	  inference(superposition,[status(thm)],[f438,f426])).
0.19/0.50	thf(f426,plain,(
0.19/0.50	  ((possibly_likes @ jan @ cola @ sK8) = $false)),
0.19/0.50	  inference(sigma_clausification,[status(thm)],[f425])).
0.19/0.50	thf(f425,plain,(
0.19/0.50	  ((!! @ $i @ (possibly_likes @ jan @ cola)) = $false)),
0.19/0.50	  inference(not_proxy_clausification,[status(thm)],[f314])).
0.19/0.50	thf(f314,plain,(
0.19/0.50	  ($true = (~ (!! @ $i @ (possibly_likes @ jan @ cola))))),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f295])).
0.19/0.50	thf(f295,plain,(
0.19/0.50	  ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (possibly_likes @ jan @ cola))) = $true)),
0.19/0.50	  inference(definition_unfolding,[status(thm)],[f267,f240])).
0.19/0.50	thf(f267,plain,(
0.19/0.50	  ($true = (~ (mvalid @ (possibly_likes @ jan @ cola))))),
0.19/0.50	  inference(cnf_transformation,[status(thm)],[f165])).
0.19/0.50	thf(f165,plain,(
0.19/0.50	  ($true = (~ (mvalid @ (possibly_likes @ jan @ cola))))),
0.19/0.50	  inference(fool_elimination,[status(thm)],[f164])).
0.19/0.50	thf(f164,plain,(
0.19/0.50	  ~(mvalid @ (possibly_likes @ jan @ cola))),
0.19/0.50	  inference(rectify,[status(thm)],[f64])).
0.19/0.50	thf(f64,negated_conjecture,(
0.19/0.50	  ~(mvalid @ (possibly_likes @ jan @ cola))),
0.19/0.50	  inference(negated_conjecture,[status(cth)],[f63])).
0.19/0.50	thf(f63,conjecture,(
0.19/0.50	  (mvalid @ (possibly_likes @ jan @ cola))),
0.19/0.50	  file('/export/starexec/sandbox2/tmp/tmp.Cl5JExJw2S/E---3.1_8066.p',conj)).
0.19/0.50	thf(f438,plain,(
0.19/0.50	  ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ((a1 @ X1 @ X4) = $false) | ((likes @ X2 @ X3 @ X4) = $false)) )),
0.19/0.50	  inference(not_proxy_clausification,[status(thm)],[f437])).
0.19/0.50	thf(f437,plain,(
0.19/0.50	  ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (a1 @ X1 @ X4))) | ((likes @ X2 @ X3 @ X4) = $false) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
0.19/0.50	  inference(not_proxy_clausification,[status(thm)],[f436])).
0.19/0.50	thf(f436,plain,(
0.19/0.50	  ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ($true = (~ (a1 @ X1 @ X4)))) )),
0.19/0.50	  inference(binary_proxy_clausification,[status(thm)],[f435])).
0.19/0.50	thf(f435,plain,(
0.19/0.50	  ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((~ (likes @ X2 @ X3 @ X4)) | (~ (a1 @ X1 @ X4)))) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f434])).
0.19/0.50	thf(f434,plain,(
0.19/0.50	  ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ($true = ((^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a1 @ X1 @ Y0)))) @ X4))) )),
0.19/0.50	  inference(pi_clausification,[status(thm)],[f433])).
0.19/0.50	thf(f433,plain,(
0.19/0.50	  ( ! [X2 : mu,X3 : mu,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a1 @ X1 @ Y0))))) = $true) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
0.19/0.50	  inference(binary_proxy_clausification,[status(thm)],[f432])).
0.19/0.50	thf(f432,plain,(
0.19/0.50	  ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((possibly_likes @ X2 @ X3 @ X1) | (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a1 @ X1 @ Y0)))))))) )),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f431])).
0.19/0.50	thf(f431,plain,(
0.19/0.50	  ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((possibly_likes @ X2 @ Y0 @ X1) | (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a1 @ X1 @ Y1))))))) @ X3))) )),
0.19/0.50	  inference(pi_clausification,[status(thm)],[f430])).
0.19/0.50	thf(f430,plain,(
0.19/0.50	  ( ! [X2 : mu,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((possibly_likes @ X2 @ Y0 @ X1) | (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a1 @ X1 @ Y1)))))))))) )),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f429])).
0.19/0.50	thf(f429,plain,(
0.19/0.50	  ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((possibly_likes @ Y0 @ Y1 @ X1) | (!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a1 @ X1 @ Y2))))))))) @ X2))) )),
0.19/0.50	  inference(pi_clausification,[status(thm)],[f428])).
0.19/0.50	thf(f428,plain,(
0.19/0.50	  ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((possibly_likes @ Y0 @ Y1 @ X1) | (!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a1 @ X1 @ Y2)))))))))) = $true)) )),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f427])).
0.19/0.50	thf(f427,plain,(
0.19/0.50	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((possibly_likes @ Y1 @ Y2 @ Y0) | (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a1 @ Y0 @ Y3))))))))))) @ X1))) )),
0.19/0.50	  inference(pi_clausification,[status(thm)],[f313])).
0.19/0.50	thf(f313,plain,(
0.19/0.50	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((possibly_likes @ Y1 @ Y2 @ Y0) | (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a1 @ Y0 @ Y3)))))))))))))),
0.19/0.50	  inference(boolean_simplification,[status(thm)],[f312])).
0.19/0.50	thf(f312,plain,(
0.19/0.50	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((possibly_likes @ Y1 @ Y2 @ Y0) | (~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a1 @ Y0 @ Y3)))))))))))))))),
0.19/0.50	  inference(beta_eta_normalization,[status(thm)],[f286])).
0.19/0.50	thf(f286,plain,(
0.19/0.50	  (((^[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]: ((Y5 @ Y6) | (Y4 @ 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)))))) @ a1 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)),
0.19/0.50	  inference(definition_unfolding,[status(thm)],[f250,f240,f229,f229,f270,f274])).
0.19/0.50	thf(f270,plain,(
0.19/0.50	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
0.19/0.50	  inference(definition_unfolding,[status(thm)],[f239,f248,f234])).
0.19/0.50	thf(f248,plain,(
0.19/0.50	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
0.19/0.50	  inference(cnf_transformation,[status(thm)],[f185])).
0.19/0.50	thf(f185,plain,(
0.19/0.50	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
0.19/0.50	  inference(fool_elimination,[status(thm)],[f184])).
0.19/0.50	thf(f184,plain,(
0.19/0.50	  (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
0.19/0.50	  inference(rectify,[status(thm)],[f4])).
0.19/0.50	thf(f4,axiom,(
0.19/0.50	  (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
0.19/0.50	  file('/export/starexec/sandbox2/tmp/tmp.Cl5JExJw2S/E---3.1_8066.p',mor)).
0.19/0.50	thf(f239,plain,(
0.19/0.50	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.19/0.50	  inference(cnf_transformation,[status(thm)],[f193])).
0.19/0.50	thf(f193,plain,(
0.19/0.50	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
0.19/0.50	  inference(fool_elimination,[status(thm)],[f192])).
0.19/0.50	thf(f192,plain,(
0.19/0.50	  (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
0.19/0.50	  inference(rectify,[status(thm)],[f6])).
0.19/0.50	thf(f6,axiom,(
0.19/0.50	  (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
0.19/0.50	  file('/export/starexec/sandbox2/tmp/tmp.Cl5JExJw2S/E---3.1_8066.p',mimplies)).
0.19/0.50	thf(f229,plain,(
0.19/0.50	  (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
0.19/0.50	  inference(cnf_transformation,[status(thm)],[f218])).
0.19/0.50	thf(f218,plain,(
0.19/0.50	  (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
0.19/0.50	  inference(fool_elimination,[status(thm)],[f217])).
0.19/0.50	thf(f217,plain,(
0.19/0.50	  ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
0.19/0.50	  inference(rectify,[status(thm)],[f10])).
0.19/0.50	thf(f10,axiom,(
0.19/0.50	  ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
0.19/0.50	  file('/export/starexec/sandbox2/tmp/tmp.Cl5JExJw2S/E---3.1_8066.p',mforall_ind)).
0.19/0.50	thf(f250,plain,(
0.19/0.50	  ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a1 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
0.19/0.50	  inference(cnf_transformation,[status(thm)],[f100])).
0.19/0.50	thf(f100,plain,(
0.19/0.50	  ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a1 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
0.19/0.50	  inference(fool_elimination,[status(thm)],[f99])).
0.19/0.50	thf(f99,plain,(
0.19/0.50	  (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a1 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
0.19/0.50	  inference(rectify,[status(thm)],[f73])).
0.19/0.50	thf(f73,axiom,(
0.19/0.50	  (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a1 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
0.19/0.50	  file('/export/starexec/sandbox2/tmp/tmp.Cl5JExJw2S/E---3.1_8066.p',axiom_user_communication_3)).
0.19/0.50	% SZS output end Proof for E---3.1_8066
0.19/0.50	% (8297)------------------------------
0.19/0.50	% (8297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.50	% (8297)Termination reason: Refutation
0.19/0.50	
0.19/0.50	% (8297)Memory used [KB]: 6012
0.19/0.50	% (8297)Time elapsed: 0.022 s
0.19/0.50	% (8297)Instructions burned: 60 (million)
0.19/0.50	% (8297)------------------------------
0.19/0.50	% (8297)------------------------------
0.19/0.50	% (8250)Success in time 0.145 s
0.19/0.50	EOF