0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_vampire %s %d THM 0.11/0.32 % Computer : n010.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 02:27:04 EDT 2025 0.11/0.33 % CPUTime : 0.11/0.34 This is a THF_ problem 0.11/0.34 Running higher-order theorem proving 0.11/0.36 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.2CVMA4AwKJ/E---3.1_10601.p -m 16384 -t 240 0.20/0.38 % (10710)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_10601 for (2399ds/27Mi) 0.20/0.38 % (10712)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_10601 for (2399ds/2Mi) 0.20/0.38 % (10713)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_10601 for (2399ds/275Mi) 0.20/0.38 % (10711)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_10601 for (2399ds/2Mi) 0.20/0.38 % (10709)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_10601 for (2399ds/4Mi) 0.20/0.38 % (10714)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_10601 for (2399ds/18Mi) 0.20/0.38 % (10708)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_10601 for (2399ds/183Mi) 0.20/0.38 % (10711)Instruction limit reached! 0.20/0.38 % (10711)------------------------------ 0.20/0.38 % (10711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.38 % (10711)Termination reason: Unknown 0.20/0.38 % (10712)Instruction limit reached! 0.20/0.38 % (10712)------------------------------ 0.20/0.38 % (10712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.38 % (10711)Termination phase: shuffling 0.20/0.38 0.20/0.38 % (10711)Memory used [KB]: 1023 0.20/0.38 % (10711)Time elapsed: 0.004 s 0.20/0.38 % (10711)Instructions burned: 3 (million) 0.20/0.38 % (10711)------------------------------ 0.20/0.38 % (10711)------------------------------ 0.20/0.38 % (10712)Termination reason: Unknown 0.20/0.38 % (10712)Termination phase: shuffling 0.20/0.38 0.20/0.38 % (10712)Memory used [KB]: 1023 0.20/0.38 % (10712)Time elapsed: 0.004 s 0.20/0.38 % (10712)Instructions burned: 3 (million) 0.20/0.38 % (10712)------------------------------ 0.20/0.38 % (10712)------------------------------ 0.20/0.38 % (10709)Instruction limit reached! 0.20/0.38 % (10709)------------------------------ 0.20/0.38 % (10709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.38 % (10709)Termination reason: Unknown 0.20/0.38 % (10709)Termination phase: shuffling 0.20/0.38 0.20/0.38 % (10709)Memory used [KB]: 1151 0.20/0.38 % (10709)Time elapsed: 0.004 s 0.20/0.38 % (10709)Instructions burned: 5 (million) 0.20/0.38 % (10709)------------------------------ 0.20/0.38 % (10709)------------------------------ 0.20/0.39 % (10713)Refutation not found, incomplete strategy 0.20/0.39 % (10713)------------------------------ 0.20/0.39 % (10713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.39 % (10713)Termination reason: Refutation not found, incomplete strategy 0.20/0.39 0.20/0.39 0.20/0.39 % (10713)Memory used [KB]: 5628 0.20/0.39 % (10713)Time elapsed: 0.010 s 0.20/0.39 % (10713)Instructions burned: 14 (million) 0.20/0.39 % (10713)------------------------------ 0.20/0.39 % (10713)------------------------------ 0.20/0.39 % (10714)Instruction limit reached! 0.20/0.39 % (10714)------------------------------ 0.20/0.39 % (10714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.39 % (10714)Termination reason: Unknown 0.20/0.39 % (10714)Termination phase: Property scanning 0.20/0.39 0.20/0.39 % (10714)Memory used [KB]: 1151 0.20/0.39 % (10714)Time elapsed: 0.011 s 0.20/0.39 % (10714)Instructions burned: 18 (million) 0.20/0.39 % (10714)------------------------------ 0.20/0.39 % (10714)------------------------------ 0.20/0.40 % (10710)Instruction limit reached! 0.20/0.40 % (10710)------------------------------ 0.20/0.40 % (10710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.40 % (10710)Termination reason: Unknown 0.20/0.40 % (10710)Termination phase: Saturation 0.20/0.40 0.20/0.40 % (10710)Memory used [KB]: 5756 0.20/0.40 % (10710)Time elapsed: 0.016 s 0.20/0.40 % (10710)Instructions burned: 27 (million) 0.20/0.40 % (10710)------------------------------ 0.20/0.40 % (10710)------------------------------ 0.20/0.40 % (10715)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_10601 for (2399ds/3Mi) 0.20/0.40 % (10716)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_10601 for (2399ds/37Mi) 0.20/0.40 % (10717)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_10601 for (2399ds/15Mi) 0.20/0.40 % (10715)Instruction limit reached! 0.20/0.40 % (10715)------------------------------ 0.20/0.40 % (10715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.40 % (10715)Termination reason: Unknown 0.20/0.40 % (10715)Termination phase: shuffling 0.20/0.40 0.20/0.40 % (10715)Memory used [KB]: 1151 0.20/0.40 % (10715)Time elapsed: 0.004 s 0.20/0.40 % (10715)Instructions burned: 4 (million) 0.20/0.40 % (10715)------------------------------ 0.20/0.40 % (10715)------------------------------ 0.20/0.41 % (10718)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_10601 for (2399ds/3Mi) 0.20/0.41 % (10719)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_10601 for (2399ds/1041Mi) 0.20/0.41 % (10717)Instruction limit reached! 0.20/0.41 % (10717)------------------------------ 0.20/0.41 % (10717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.41 % (10717)Termination reason: Unknown 0.20/0.41 % (10717)Termination phase: Property scanning 0.20/0.41 0.20/0.41 % (10717)Memory used [KB]: 1151 0.20/0.41 % (10717)Time elapsed: 0.010 s 0.20/0.41 % (10717)Instructions burned: 17 (million) 0.20/0.41 % (10717)------------------------------ 0.20/0.41 % (10717)------------------------------ 0.20/0.41 % (10718)Instruction limit reached! 0.20/0.41 % (10718)------------------------------ 0.20/0.41 % (10718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.41 % (10718)Termination reason: Unknown 0.20/0.41 % (10718)Termination phase: shuffling 0.20/0.41 0.20/0.41 % (10718)Memory used [KB]: 1151 0.20/0.41 % (10718)Time elapsed: 0.004 s 0.20/0.41 % (10718)Instructions burned: 4 (million) 0.20/0.41 % (10718)------------------------------ 0.20/0.41 % (10718)------------------------------ 0.20/0.41 % (10720)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_10601 for (2399ds/7Mi) 0.20/0.42 % (10720)Instruction limit reached! 0.20/0.42 % (10720)------------------------------ 0.20/0.42 % (10720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.42 % (10720)Termination reason: Unknown 0.20/0.42 % (10720)Termination phase: Property scanning 0.20/0.42 0.20/0.42 % (10720)Memory used [KB]: 1151 0.20/0.42 % (10720)Time elapsed: 0.006 s 0.20/0.42 % (10720)Instructions burned: 8 (million) 0.20/0.42 % (10720)------------------------------ 0.20/0.42 % (10720)------------------------------ 0.20/0.42 % (10716)Instruction limit reached! 0.20/0.42 % (10716)------------------------------ 0.20/0.42 % (10716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.42 % (10716)Termination reason: Unknown 0.20/0.42 % (10716)Termination phase: Saturation 0.20/0.42 0.20/0.42 % (10716)Memory used [KB]: 5884 0.20/0.42 % (10716)Time elapsed: 0.020 s 0.20/0.42 % (10716)Instructions burned: 37 (million) 0.20/0.42 % (10716)------------------------------ 0.20/0.42 % (10716)------------------------------ 0.20/0.42 % (10721)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_10601 for (2399ds/16Mi) 0.20/0.43 % (10722)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_10601 for (2399ds/3Mi) 0.20/0.43 % (10723)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_10601 for (2399ds/3Mi) 0.20/0.43 % (10721)Instruction limit reached! 0.20/0.43 % (10721)------------------------------ 0.20/0.43 % (10721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.43 % (10721)Termination reason: Unknown 0.20/0.43 % (10721)Termination phase: Property scanning 0.20/0.43 0.20/0.43 % (10721)Memory used [KB]: 1151 0.20/0.43 % (10721)Time elapsed: 0.010 s 0.20/0.43 % (10721)Instructions burned: 17 (million) 0.20/0.43 % (10721)------------------------------ 0.20/0.43 % (10721)------------------------------ 0.20/0.43 % (10722)Instruction limit reached! 0.20/0.43 % (10722)------------------------------ 0.20/0.43 % (10722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.43 % (10722)Termination reason: Unknown 0.20/0.43 % (10722)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (10722)Memory used [KB]: 1023 0.20/0.43 % (10722)Time elapsed: 0.004 s 0.20/0.43 % (10722)Instructions burned: 4 (million) 0.20/0.43 % (10722)------------------------------ 0.20/0.43 % (10722)------------------------------ 0.20/0.43 % (10723)Instruction limit reached! 0.20/0.43 % (10723)------------------------------ 0.20/0.43 % (10723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.43 % (10723)Termination reason: Unknown 0.20/0.43 % (10723)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (10723)Memory used [KB]: 1023 0.20/0.43 % (10723)Time elapsed: 0.004 s 0.20/0.43 % (10723)Instructions burned: 4 (million) 0.20/0.43 % (10723)------------------------------ 0.20/0.43 % (10723)------------------------------ 0.20/0.43 % (10724)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_10601 for (2399ds/7Mi) 0.20/0.44 % (10725)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_10601 for (2399ds/3Mi) 0.20/0.44 % (10724)Instruction limit reached! 0.20/0.44 % (10724)------------------------------ 0.20/0.44 % (10724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.44 % (10724)Termination reason: Unknown 0.20/0.44 % (10724)Termination phase: Property scanning 0.20/0.44 0.20/0.44 % (10724)Memory used [KB]: 1151 0.20/0.44 % (10724)Time elapsed: 0.006 s 0.20/0.44 % (10724)Instructions burned: 8 (million) 0.20/0.44 % (10724)------------------------------ 0.20/0.44 % (10724)------------------------------ 0.20/0.44 % (10725)Instruction limit reached! 0.20/0.44 % (10725)------------------------------ 0.20/0.44 % (10725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.44 % (10725)Termination reason: Unknown 0.20/0.44 % (10725)Termination phase: shuffling 0.20/0.44 0.20/0.44 % (10725)Memory used [KB]: 1151 0.20/0.44 % (10725)Time elapsed: 0.004 s 0.20/0.44 % (10725)Instructions burned: 4 (million) 0.20/0.44 % (10725)------------------------------ 0.20/0.44 % (10725)------------------------------ 0.20/0.45 % (10726)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_10601 for (2399ds/4Mi) 0.20/0.45 % (10727)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_10601 for (2399ds/18Mi) 0.20/0.45 % (10728)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_10601 for (2399ds/710Mi) 0.20/0.45 % (10726)Instruction limit reached! 0.20/0.45 % (10726)------------------------------ 0.20/0.45 % (10726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.45 % (10726)Termination reason: Unknown 0.20/0.45 % (10726)Termination phase: shuffling 0.20/0.45 0.20/0.45 % (10726)Memory used [KB]: 1151 0.20/0.45 % (10726)Time elapsed: 0.004 s 0.20/0.45 % (10726)Instructions burned: 4 (million) 0.20/0.45 % (10726)------------------------------ 0.20/0.45 % (10726)------------------------------ 0.20/0.46 % (10727)Instruction limit reached! 0.20/0.46 % (10727)------------------------------ 0.20/0.46 % (10727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.46 % (10729)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_10601 for (2399ds/6Mi) 0.20/0.46 % (10727)Termination reason: Unknown 0.20/0.46 % (10727)Termination phase: Saturation 0.20/0.46 0.20/0.46 % (10727)Memory used [KB]: 5628 0.20/0.46 % (10727)Time elapsed: 0.011 s 0.20/0.46 % (10727)Instructions burned: 18 (million) 0.20/0.46 % (10727)------------------------------ 0.20/0.46 % (10727)------------------------------ 0.20/0.46 % (10730)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_10601 for (2399ds/902Mi) 0.20/0.46 % (10729)Instruction limit reached! 0.20/0.46 % (10729)------------------------------ 0.20/0.46 % (10729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.46 % (10729)Termination reason: Unknown 0.20/0.46 % (10729)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (10729)Memory used [KB]: 1151 0.20/0.46 % (10729)Time elapsed: 0.005 s 0.20/0.46 % (10729)Instructions burned: 6 (million) 0.20/0.46 % (10729)------------------------------ 0.20/0.46 % (10729)------------------------------ 0.20/0.47 % (10730)Refutation not found, incomplete strategy 0.20/0.47 % (10730)------------------------------ 0.20/0.47 % (10730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.47 % (10730)Termination reason: Refutation not found, incomplete strategy 0.20/0.47 0.20/0.47 0.20/0.47 % (10730)Memory used [KB]: 5628 0.20/0.47 % (10730)Time elapsed: 0.034 s 0.20/0.47 % (10730)Instructions burned: 17 (million) 0.20/0.47 % (10730)------------------------------ 0.20/0.47 % (10730)------------------------------ 0.20/0.47 % (10731)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_10601 for (2399ds/21Mi) 0.20/0.47 % (10732)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_10601 for (2399ds/5Mi) 0.20/0.48 % (10732)Instruction limit reached! 0.20/0.48 % (10732)------------------------------ 0.20/0.48 % (10732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.48 % (10732)Termination reason: Unknown 0.20/0.48 % (10732)Termination phase: shuffling 0.20/0.48 0.20/0.48 % (10732)Memory used [KB]: 1151 0.20/0.48 % (10732)Time elapsed: 0.004 s 0.20/0.48 % (10732)Instructions burned: 5 (million) 0.20/0.48 % (10732)------------------------------ 0.20/0.48 % (10732)------------------------------ 0.20/0.48 % (10731)Instruction limit reached! 0.20/0.48 % (10731)------------------------------ 0.20/0.48 % (10731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.48 % (10731)Termination reason: Unknown 0.20/0.48 % (10731)Termination phase: Property scanning 0.20/0.48 0.20/0.48 % (10731)Memory used [KB]: 1151 0.20/0.48 % (10731)Time elapsed: 0.012 s 0.20/0.48 % (10731)Instructions burned: 23 (million) 0.20/0.48 % (10731)------------------------------ 0.20/0.48 % (10731)------------------------------ 0.20/0.48 % (10733)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_10601 for (2398ds/6Mi) 0.20/0.48 % (10728)Refutation not found, incomplete strategy 0.20/0.48 % (10728)------------------------------ 0.20/0.48 % (10728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.48 % (10728)Termination reason: Refutation not found, incomplete strategy 0.20/0.48 0.20/0.48 0.20/0.48 % (10728)Memory used [KB]: 5884 0.20/0.48 % (10728)Time elapsed: 0.055 s 0.20/0.48 % (10728)Instructions burned: 53 (million) 0.20/0.48 % (10728)------------------------------ 0.20/0.48 % (10728)------------------------------ 0.20/0.48 % (10733)Instruction limit reached! 0.20/0.48 % (10733)------------------------------ 0.20/0.48 % (10733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.48 % (10733)Termination reason: Unknown 0.20/0.48 % (10733)Termination phase: Property scanning 0.20/0.48 0.20/0.48 % (10733)Memory used [KB]: 1151 0.20/0.48 % (10733)Time elapsed: 0.005 s 0.20/0.48 % (10733)Instructions burned: 6 (million) 0.20/0.48 % (10733)------------------------------ 0.20/0.48 % (10733)------------------------------ 0.20/0.48 % (10734)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_10601 for (2398ds/377Mi) 0.20/0.49 % (10736)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_10601 for (2398ds/19Mi) 0.20/0.49 % (10708)Instruction limit reached! 0.20/0.49 % (10708)------------------------------ 0.20/0.49 % (10708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.49 % (10708)Termination reason: Unknown 0.20/0.49 % (10708)Termination phase: Saturation 0.20/0.49 0.20/0.49 % (10708)Memory used [KB]: 6652 0.20/0.49 % (10708)Time elapsed: 0.112 s 0.20/0.49 % (10708)Instructions burned: 183 (million) 0.20/0.49 % (10708)------------------------------ 0.20/0.49 % (10708)------------------------------ 0.20/0.49 % (10735)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_10601 for (2398ds/779Mi) 0.20/0.49 % (10737)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_10601 for (2398ds/879Mi) 0.20/0.50 % (10736)Refutation not found, incomplete strategy 0.20/0.50 % (10736)------------------------------ 0.20/0.50 % (10736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.50 % (10736)Termination reason: Refutation not found, incomplete strategy 0.20/0.50 0.20/0.50 0.20/0.50 % (10736)Memory used [KB]: 5756 0.20/0.50 % (10736)Time elapsed: 0.007 s 0.20/0.50 % (10736)Instructions burned: 17 (million) 0.20/0.50 % (10736)------------------------------ 0.20/0.50 % (10736)------------------------------ 0.20/0.50 % (10738)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_10601 for (2398ds/17Mi) 0.20/0.50 % (10738)Instruction limit reached! 0.20/0.50 % (10738)------------------------------ 0.20/0.50 % (10738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.50 % (10738)Termination reason: Unknown 0.20/0.50 % (10738)Termination phase: Property scanning 0.20/0.50 0.20/0.50 % (10738)Memory used [KB]: 1151 0.20/0.50 % (10738)Time elapsed: 0.009 s 0.20/0.50 % (10738)Instructions burned: 18 (million) 0.20/0.50 % (10738)------------------------------ 0.20/0.50 % (10738)------------------------------ 0.20/0.51 % (10739)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_10601 for (2398ds/3Mi) 0.20/0.51 % (10739)Instruction limit reached! 0.20/0.51 % (10739)------------------------------ 0.20/0.51 % (10739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.51 % (10739)Termination reason: Unknown 0.20/0.51 % (10739)Termination phase: shuffling 0.20/0.51 0.20/0.51 % (10739)Memory used [KB]: 1151 0.20/0.51 % (10739)Time elapsed: 0.003 s 0.20/0.51 % (10739)Instructions burned: 5 (million) 0.20/0.51 % (10739)------------------------------ 0.20/0.51 % (10739)------------------------------ 0.20/0.51 % (10737)Refutation not found, incomplete strategy 0.20/0.51 % (10737)------------------------------ 0.20/0.51 % (10737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.51 % (10737)Termination reason: Refutation not found, incomplete strategy 0.20/0.51 0.20/0.51 0.20/0.51 % (10737)Memory used [KB]: 5884 0.20/0.51 % (10737)Time elapsed: 0.018 s 0.20/0.51 % (10737)Instructions burned: 38 (million) 0.20/0.51 % (10737)------------------------------ 0.20/0.51 % (10737)------------------------------ 0.20/0.51 % (10741)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_10601 for (2398ds/127Mi) 0.20/0.52 % (10742)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_10601 for (2398ds/100Mi) 1.21/0.52 % (10740)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_10601 for (2398ds/30Mi) 1.21/0.52 % (10743)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_10601 for (2398ds/3Mi) 1.21/0.52 % (10743)Instruction limit reached! 1.21/0.52 % (10743)------------------------------ 1.21/0.52 % (10743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.21/0.52 % (10743)Termination reason: Unknown 1.21/0.52 % (10743)Termination phase: shuffling 1.21/0.52 1.21/0.52 % (10743)Memory used [KB]: 1151 1.21/0.52 % (10743)Time elapsed: 0.003 s 1.21/0.52 % (10743)Instructions burned: 4 (million) 1.21/0.52 % (10743)------------------------------ 1.21/0.52 % (10743)------------------------------ 1.21/0.53 % (10740)Instruction limit reached! 1.21/0.53 % (10740)------------------------------ 1.21/0.53 % (10740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.21/0.53 % (10740)Termination reason: Unknown 1.21/0.53 % (10740)Termination phase: Saturation 1.21/0.53 1.21/0.53 % (10740)Memory used [KB]: 5884 1.21/0.53 % (10740)Time elapsed: 0.011 s 1.21/0.53 % (10740)Instructions burned: 33 (million) 1.21/0.53 % (10740)------------------------------ 1.21/0.53 % (10740)------------------------------ 1.21/0.53 % (10744)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_10601 for (2398ds/20Mi) 1.30/0.54 % (10744)Instruction limit reached! 1.30/0.54 % (10744)------------------------------ 1.30/0.54 % (10744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.30/0.54 % (10744)Termination reason: Unknown 1.30/0.54 % (10744)Termination phase: Saturation 1.30/0.54 1.30/0.54 % (10744)Memory used [KB]: 5756 1.30/0.54 % (10744)Time elapsed: 0.008 s 1.30/0.54 % (10744)Instructions burned: 20 (million) 1.30/0.54 % (10744)------------------------------ 1.30/0.54 % (10744)------------------------------ 1.30/0.54 % (10745)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on E---3.1_10601 for (2398ds/86Mi) 1.30/0.55 % (10742)Instruction limit reached! 1.30/0.55 % (10742)------------------------------ 1.30/0.55 % (10742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.30/0.55 % (10742)Termination reason: Unknown 1.30/0.55 % (10742)Termination phase: Saturation 1.30/0.55 1.30/0.55 % (10742)Memory used [KB]: 6268 1.30/0.55 % (10742)Time elapsed: 0.033 s 1.30/0.55 % (10742)Instructions burned: 100 (million) 1.30/0.55 % (10742)------------------------------ 1.30/0.55 % (10742)------------------------------ 1.30/0.55 % (10746)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_10601 for (2398ds/107Mi) 1.30/0.56 % (10741)Instruction limit reached! 1.30/0.56 % (10741)------------------------------ 1.30/0.56 % (10741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.30/0.56 % (10741)Termination reason: Unknown 1.30/0.56 % (10741)Termination phase: Saturation 1.30/0.56 1.30/0.56 % (10741)Memory used [KB]: 6268 1.30/0.56 % (10741)Time elapsed: 0.042 s 1.30/0.56 % (10741)Instructions burned: 129 (million) 1.30/0.56 % (10741)------------------------------ 1.30/0.56 % (10741)------------------------------ 1.30/0.56 % (10747)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on E---3.1_10601 for (2398ds/39Mi) 1.30/0.57 % (10748)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on E---3.1_10601 for (2398ds/448Mi) 1.30/0.57 % (10745)Instruction limit reached! 1.30/0.57 % (10745)------------------------------ 1.30/0.57 % (10745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.30/0.57 % (10745)Termination reason: Unknown 1.30/0.57 % (10745)Termination phase: Saturation 1.30/0.57 1.30/0.57 % (10745)Memory used [KB]: 6396 1.30/0.57 % (10745)Time elapsed: 0.028 s 1.30/0.57 % (10745)Instructions burned: 86 (million) 1.30/0.57 % (10745)------------------------------ 1.30/0.57 % (10745)------------------------------ 1.30/0.57 % (10747)Instruction limit reached! 1.30/0.57 % (10747)------------------------------ 1.30/0.57 % (10747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.30/0.57 % (10747)Termination reason: Unknown 1.30/0.57 % (10747)Termination phase: Saturation 1.30/0.57 1.30/0.57 % (10747)Memory used [KB]: 5884 1.30/0.57 % (10747)Time elapsed: 0.013 s 1.30/0.57 % (10747)Instructions burned: 40 (million) 1.30/0.57 % (10747)------------------------------ 1.30/0.57 % (10747)------------------------------ 1.30/0.58 % (10749)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/46Mi) 1.30/0.58 % (10750)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/98Mi) 1.30/0.58 % (10746)Instruction limit reached! 1.30/0.58 % (10746)------------------------------ 1.30/0.58 % (10746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.30/0.58 % (10746)Termination reason: Unknown 1.30/0.58 % (10746)Termination phase: Saturation 1.30/0.58 1.30/0.58 % (10746)Memory used [KB]: 6140 1.30/0.58 % (10746)Time elapsed: 0.035 s 1.30/0.58 % (10746)Instructions burned: 107 (million) 1.30/0.58 % (10746)------------------------------ 1.30/0.58 % (10746)------------------------------ 1.30/0.59 % (10749)Instruction limit reached! 1.30/0.59 % (10749)------------------------------ 1.30/0.59 % (10749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.30/0.59 % (10749)Termination reason: Unknown 1.30/0.59 % (10749)Termination phase: Saturation 1.30/0.59 1.30/0.59 % (10749)Memory used [KB]: 5756 1.30/0.59 % (10749)Time elapsed: 0.017 s 1.30/0.59 % (10749)Instructions burned: 46 (million) 1.30/0.59 % (10749)------------------------------ 1.30/0.59 % (10749)------------------------------ 1.30/0.59 % (10751)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/507Mi) 1.30/0.60 % (10752)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/149Mi) 1.30/0.60 % (10751)Refutation not found, incomplete strategy 1.30/0.60 % (10751)------------------------------ 1.30/0.60 % (10751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.30/0.60 % (10751)Termination reason: Refutation not found, incomplete strategy 1.30/0.60 1.30/0.60 1.30/0.60 % (10751)Memory used [KB]: 5884 1.30/0.60 % (10751)Time elapsed: 0.013 s 1.30/0.60 % (10751)Instructions burned: 39 (million) 1.30/0.60 % (10751)------------------------------ 1.30/0.60 % (10751)------------------------------ 1.30/0.61 % (10750)Instruction limit reached! 1.30/0.61 % (10750)------------------------------ 1.30/0.61 % (10750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.30/0.61 % (10750)Termination reason: Unknown 1.30/0.61 % (10750)Termination phase: Saturation 1.30/0.61 1.30/0.61 % (10750)Memory used [KB]: 1663 1.30/0.61 % (10750)Time elapsed: 0.033 s 1.30/0.61 % (10750)Instructions burned: 100 (million) 1.30/0.61 % (10750)------------------------------ 1.30/0.61 % (10750)------------------------------ 1.30/0.61 % (10734)Instruction limit reached! 1.30/0.61 % (10734)------------------------------ 1.30/0.61 % (10734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.30/0.61 % (10734)Termination reason: Unknown 1.30/0.61 % (10734)Termination phase: Saturation 1.30/0.61 1.30/0.61 % (10734)Memory used [KB]: 6652 1.30/0.61 % (10734)Time elapsed: 0.132 s 1.30/0.61 % (10734)Instructions burned: 377 (million) 1.30/0.61 % (10734)------------------------------ 1.30/0.61 % (10734)------------------------------ 1.30/0.61 % (10753)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/39Mi) 1.83/0.62 % (10754)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/6Mi) 1.83/0.62 % (10754)Instruction limit reached! 1.83/0.62 % (10754)------------------------------ 1.83/0.62 % (10754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.83/0.62 % (10754)Termination reason: Unknown 1.83/0.62 % (10754)Termination phase: shuffling 1.83/0.62 1.83/0.62 % (10754)Memory used [KB]: 1151 1.83/0.62 % (10754)Time elapsed: 0.004 s 1.83/0.62 % (10754)Instructions burned: 8 (million) 1.83/0.62 % (10754)------------------------------ 1.83/0.62 % (10754)------------------------------ 1.83/0.62 % (10755)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/1087Mi) 1.83/0.63 % (10753)Instruction limit reached! 1.83/0.63 % (10753)------------------------------ 1.83/0.63 % (10753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.83/0.63 % (10753)Termination reason: Unknown 1.83/0.63 % (10753)Termination phase: Saturation 1.83/0.63 1.83/0.63 % (10753)Memory used [KB]: 5884 1.83/0.63 % (10753)Time elapsed: 0.013 s 1.83/0.63 % (10753)Instructions burned: 40 (million) 1.83/0.63 % (10753)------------------------------ 1.83/0.63 % (10753)------------------------------ 1.83/0.63 % (10755)Refutation not found, incomplete strategy 1.83/0.63 % (10755)------------------------------ 1.83/0.63 % (10755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.83/0.63 % (10755)Termination reason: Refutation not found, incomplete strategy 1.83/0.63 1.83/0.63 1.83/0.63 % (10755)Memory used [KB]: 5756 1.83/0.63 % (10755)Time elapsed: 0.009 s 1.83/0.63 % (10755)Instructions burned: 23 (million) 1.83/0.63 % (10755)------------------------------ 1.83/0.63 % (10755)------------------------------ 1.83/0.63 % (10756)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/47Mi) 1.83/0.64 % (10757)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/44Mi) 1.83/0.64 % (10758)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/432Mi) 1.83/0.65 % (10756)Instruction limit reached! 1.83/0.65 % (10756)------------------------------ 1.83/0.65 % (10756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.83/0.65 % (10756)Termination reason: Unknown 1.83/0.65 % (10756)Termination phase: Saturation 1.83/0.65 1.83/0.65 % (10756)Memory used [KB]: 5884 1.83/0.65 % (10756)Time elapsed: 0.016 s 1.83/0.65 % (10756)Instructions burned: 48 (million) 1.83/0.65 % (10756)------------------------------ 1.83/0.65 % (10756)------------------------------ 1.83/0.65 % (10757)Instruction limit reached! 1.83/0.65 % (10757)------------------------------ 1.83/0.65 % (10757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.83/0.65 % (10757)Termination reason: Unknown 1.83/0.65 % (10757)Termination phase: Saturation 1.83/0.65 1.83/0.65 % (10757)Memory used [KB]: 1407 1.83/0.65 % (10757)Time elapsed: 0.015 s 1.83/0.65 % (10757)Instructions burned: 45 (million) 1.83/0.65 % (10757)------------------------------ 1.83/0.65 % (10757)------------------------------ 1.83/0.65 % (10752)Instruction limit reached! 1.83/0.65 % (10752)------------------------------ 1.83/0.65 % (10752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.83/0.65 % (10752)Termination reason: Unknown 1.83/0.65 % (10752)Termination phase: Saturation 1.83/0.65 1.83/0.65 % (10752)Memory used [KB]: 6396 1.83/0.65 % (10752)Time elapsed: 0.051 s 1.83/0.65 % (10752)Instructions burned: 151 (million) 1.83/0.65 % (10752)------------------------------ 1.83/0.65 % (10752)------------------------------ 1.83/0.66 % (10759)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/62Mi) 1.83/0.66 % (10760)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/31Mi) 1.83/0.66 % (10761)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/96Mi) 1.83/0.67 % (10760)Instruction limit reached! 1.83/0.67 % (10760)------------------------------ 1.83/0.67 % (10760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.83/0.67 % (10760)Termination reason: Unknown 1.83/0.67 % (10760)Termination phase: Saturation 1.83/0.67 1.83/0.67 % (10760)Memory used [KB]: 5884 1.83/0.67 % (10760)Time elapsed: 0.011 s 1.83/0.67 % (10760)Instructions burned: 33 (million) 1.83/0.67 % (10760)------------------------------ 1.83/0.67 % (10760)------------------------------ 1.83/0.68 % (10759)Instruction limit reached! 1.83/0.68 % (10759)------------------------------ 1.83/0.68 % (10759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.83/0.68 % (10759)Termination reason: Unknown 1.83/0.68 % (10759)Termination phase: Saturation 1.83/0.68 1.83/0.68 % (10759)Memory used [KB]: 6012 1.83/0.68 % (10759)Time elapsed: 0.021 s 1.83/0.68 % (10759)Instructions burned: 62 (million) 1.83/0.68 % (10759)------------------------------ 1.83/0.68 % (10759)------------------------------ 1.83/0.68 % (10762)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on E---3.1_10601 for (2397ds/453Mi) 2.15/0.69 % (10763)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on E---3.1_10601 for (2396ds/71Mi) 2.15/0.69 % (10735)First to succeed. 2.15/0.69 % (10761)Instruction limit reached! 2.15/0.69 % (10761)------------------------------ 2.15/0.69 % (10761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.15/0.69 % (10761)Termination reason: Unknown 2.15/0.69 % (10761)Termination phase: Saturation 2.15/0.69 2.15/0.69 % (10761)Memory used [KB]: 6268 2.15/0.69 % (10761)Time elapsed: 0.054 s 2.15/0.69 % (10761)Instructions burned: 98 (million) 2.15/0.69 % (10761)------------------------------ 2.15/0.69 % (10761)------------------------------ 2.15/0.70 % (10735)Refutation found. Thanks to Tanya! 2.15/0.70 % SZS status Theorem for E---3.1_10601 2.15/0.70 % SZS output start Proof for E---3.1_10601 2.15/0.70 thf(type_def_5, type, mu: $tType). 2.15/0.70 thf(func_def_0, type, mu: $tType). 2.15/0.70 thf(func_def_1, type, meq_ind: mu > mu > $i > $o). 2.15/0.70 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 2.15/0.70 thf(func_def_4, type, mnot: ($i > $o) > $i > $o). 2.15/0.70 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o). 2.15/0.70 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o). 2.15/0.70 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 2.15/0.70 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 2.15/0.70 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 2.15/0.70 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 2.15/0.70 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o). 2.15/0.70 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 2.15/0.70 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o). 2.15/0.70 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 2.15/0.70 thf(func_def_15, type, mtrue: $i > $o). 2.15/0.70 thf(func_def_16, type, mfalse: $i > $o). 2.15/0.70 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 2.15/0.70 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 2.15/0.70 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_21, type, mserial: ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_29, type, mvalid: ($i > $o) > $o). 2.15/0.70 thf(func_def_30, type, minvalid: ($i > $o) > $o). 2.15/0.70 thf(func_def_31, type, msatisfiable: ($i > $o) > $o). 2.15/0.70 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o). 2.15/0.70 thf(func_def_33, type, a1: $i > $i > $o). 2.15/0.70 thf(func_def_34, type, a2: $i > $i > $o). 2.15/0.70 thf(func_def_35, type, a3: $i > $i > $o). 2.15/0.70 thf(func_def_36, type, jan: mu). 2.15/0.70 thf(func_def_37, type, piotr: mu). 2.15/0.70 thf(func_def_38, type, cola: mu). 2.15/0.70 thf(func_def_39, type, pepsi: mu). 2.15/0.70 thf(func_def_40, type, beer: mu). 2.15/0.70 thf(func_def_41, type, likes: mu > mu > $i > $o). 2.15/0.70 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o). 2.15/0.70 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o). 2.15/0.70 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o). 2.15/0.70 thf(func_def_63, type, sK2: mu > $i > mu > $i). 2.15/0.70 thf(func_def_64, type, sK3: mu > $i > mu > $i). 2.15/0.70 thf(func_def_65, type, sK4: $i > $i). 2.15/0.70 thf(func_def_66, type, sK5: $i > $i). 2.15/0.70 thf(func_def_67, type, sK6: $i > $i). 2.15/0.70 thf(func_def_68, type, sK7: mu > $i > mu > $i). 2.15/0.70 thf(func_def_69, type, sK8: $i > $i). 2.15/0.70 thf(func_def_70, type, sK9: $i > $i). 2.15/0.70 thf(f1692,plain,( 2.15/0.70 $false), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1685])). 2.15/0.70 thf(f1685,plain,( 2.15/0.70 ($false = $true)), 2.15/0.70 inference(superposition,[status(thm)],[f1681,f336])). 2.15/0.70 thf(f336,plain,( 2.15/0.70 ($false = (very_much_likes @ jan @ cola @ sK1))), 2.15/0.70 inference(sigma_clausification,[status(thm)],[f335])). 2.15/0.70 thf(f335,plain,( 2.15/0.70 ($false = (!! @ $i @ (very_much_likes @ jan @ cola)))), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f311])). 2.15/0.70 thf(f311,plain,( 2.15/0.70 ((~ (!! @ $i @ (very_much_likes @ jan @ cola))) = $true)), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f290])). 2.15/0.70 thf(f290,plain,( 2.15/0.70 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (very_much_likes @ jan @ cola))) = $true)), 2.15/0.70 inference(definition_unfolding,[status(thm)],[f263,f225])). 2.15/0.70 thf(f225,plain,( 2.15/0.70 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f218])). 2.15/0.70 thf(f218,plain,( 2.15/0.70 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))), 2.15/0.70 inference(fool_elimination,[status(thm)],[f217])). 2.15/0.70 thf(f217,plain,( 2.15/0.70 (mvalid = (^[X0 : $i > $o] : (! [X1 : $i] : (X0 @ X1))))), 2.15/0.70 inference(rectify,[status(thm)],[f28])). 2.15/0.70 thf(f28,axiom,( 2.15/0.70 (mvalid = (^[X3 : $i > $o] : (! [X2 : $i] : (X3 @ X2))))), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',mvalid)). 2.15/0.70 thf(f263,plain,( 2.15/0.70 ((~ (mvalid @ (very_much_likes @ jan @ cola))) = $true)), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f172])). 2.15/0.70 thf(f172,plain,( 2.15/0.70 ((~ (mvalid @ (very_much_likes @ jan @ cola))) = $true)), 2.15/0.70 inference(fool_elimination,[status(thm)],[f171])). 2.15/0.70 thf(f171,plain,( 2.15/0.70 ~(mvalid @ (very_much_likes @ jan @ cola))), 2.15/0.70 inference(rectify,[status(thm)],[f72])). 2.15/0.70 thf(f72,negated_conjecture,( 2.15/0.70 ~(mvalid @ (very_much_likes @ jan @ cola))), 2.15/0.70 inference(negated_conjecture,[status(cth)],[f71])). 2.15/0.70 thf(f71,conjecture,( 2.15/0.70 (mvalid @ (very_much_likes @ jan @ cola))), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',conj)). 2.15/0.70 thf(f1681,plain,( 2.15/0.70 ( ! [X0 : $i] : (($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1680])). 2.15/0.70 thf(f1680,plain,( 2.15/0.70 ( ! [X0 : $i] : (($false = $true) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(duplicate_literal_removal,[status(thm)],[f1677])). 2.15/0.70 thf(f1677,plain,( 2.15/0.70 ( ! [X0 : $i] : (($true = (very_much_likes @ jan @ cola @ X0)) | ($false = $true) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(superposition,[status(thm)],[f1672,f443])). 2.15/0.70 thf(f443,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (a3 @ X1 @ (sK7 @ X3 @ X1 @ X2))) | ((very_much_likes @ X2 @ X3 @ X1) = $true)) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f441])). 2.15/0.70 thf(f441,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($false = (~ (a3 @ X1 @ (sK7 @ X3 @ X1 @ X2)))) | ((very_much_likes @ X2 @ X3 @ X1) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f440])). 2.15/0.70 thf(f440,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((very_much_likes @ X2 @ X3 @ X1) = $true) | (((very_much_likes @ X2 @ X3 @ (sK7 @ X3 @ X1 @ X2)) | (~ (a3 @ X1 @ (sK7 @ X3 @ X1 @ X2)))) = $false)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f439])). 2.15/0.70 thf(f439,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((very_much_likes @ X2 @ X3 @ X1) = $true) | (((^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0)))) @ (sK7 @ X3 @ X1 @ X2)) = $false)) )), 2.15/0.70 inference(sigma_clausification,[status(thm)],[f438])). 2.15/0.70 thf(f438,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0))))) = $false) | ((very_much_likes @ X2 @ X3 @ X1) = $true)) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f437])). 2.15/0.70 thf(f437,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((very_much_likes @ X2 @ X3 @ X1) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0)))))))) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f436])). 2.15/0.70 thf(f436,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((very_much_likes @ X2 @ X3 @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0))))))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f435])). 2.15/0.70 thf(f435,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((very_much_likes @ X2 @ Y0 @ X1) | (~ (!! @ $i @ (^[Y1 : $i]: ((very_much_likes @ X2 @ Y0 @ Y1) | (~ (a3 @ X1 @ Y1)))))))) @ X3))) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f434])). 2.15/0.70 thf(f434,plain,( 2.15/0.70 ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((very_much_likes @ X2 @ Y0 @ X1) | (~ (!! @ $i @ (^[Y1 : $i]: ((very_much_likes @ X2 @ Y0 @ Y1) | (~ (a3 @ X1 @ Y1))))))))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f433])). 2.15/0.70 thf(f433,plain,( 2.15/0.70 ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((very_much_likes @ Y0 @ Y1 @ X1) | (~ (!! @ $i @ (^[Y2 : $i]: ((very_much_likes @ Y0 @ Y1 @ Y2) | (~ (a3 @ X1 @ Y2)))))))))) @ X2) = $true)) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f432])). 2.15/0.70 thf(f432,plain,( 2.15/0.70 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((very_much_likes @ Y0 @ Y1 @ X1) | (~ (!! @ $i @ (^[Y2 : $i]: ((very_much_likes @ Y0 @ Y1 @ Y2) | (~ (a3 @ X1 @ Y2))))))))))))) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f431])). 2.15/0.70 thf(f431,plain,( 2.15/0.70 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((very_much_likes @ Y1 @ Y2 @ Y0) | (~ (!! @ $i @ (^[Y3 : $i]: ((very_much_likes @ Y1 @ Y2 @ Y3) | (~ (a3 @ Y0 @ Y3)))))))))))) @ X1) = $true)) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f298])). 2.15/0.70 thf(f298,plain,( 2.15/0.70 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((very_much_likes @ Y1 @ Y2 @ Y0) | (~ (!! @ $i @ (^[Y3 : $i]: ((very_much_likes @ Y1 @ Y2 @ Y3) | (~ (a3 @ Y0 @ Y3))))))))))))))), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f282])). 2.15/0.70 thf(f282,plain,( 2.15/0.70 (((^[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]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))) = $true)), 2.15/0.70 inference(definition_unfolding,[status(thm)],[f244,f225,f265,f265,f267,f250])). 2.15/0.70 thf(f250,plain,( 2.15/0.70 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f158])). 2.15/0.70 thf(f158,plain,( 2.15/0.70 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))), 2.15/0.70 inference(fool_elimination,[status(thm)],[f157])). 2.15/0.70 thf(f157,plain,( 2.15/0.70 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3 : $i] : (~(X0 @ X2 @ X3) | (X1 @ X3)))))), 2.15/0.70 inference(rectify,[status(thm)],[f16])). 2.15/0.70 thf(f16,axiom,( 2.15/0.70 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7 : $i] : (~(X6 @ X2 @ X7) | (X3 @ X7)))))), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',mbox)). 2.15/0.70 thf(f267,plain,( 2.15/0.70 (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)))))), 2.15/0.70 inference(definition_unfolding,[status(thm)],[f240,f219,f258])). 2.15/0.70 thf(f258,plain,( 2.15/0.70 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f210])). 2.15/0.70 thf(f210,plain,( 2.15/0.70 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))), 2.15/0.70 inference(fool_elimination,[status(thm)],[f209])). 2.15/0.70 thf(f209,plain,( 2.15/0.70 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))), 2.15/0.70 inference(rectify,[status(thm)],[f3])). 2.15/0.70 thf(f3,axiom,( 2.15/0.70 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',mnot)). 2.15/0.70 thf(f219,plain,( 2.15/0.70 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f101])). 2.15/0.70 thf(f101,plain,( 2.15/0.70 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))), 2.15/0.70 inference(fool_elimination,[status(thm)],[f100])). 2.15/0.70 thf(f100,plain,( 2.15/0.70 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)), 2.15/0.70 inference(rectify,[status(thm)],[f4])). 2.15/0.70 thf(f4,axiom,( 2.15/0.70 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))) = mor)), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',mor)). 2.15/0.70 thf(f240,plain,( 2.15/0.70 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f105])). 2.15/0.70 thf(f105,plain,( 2.15/0.70 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))), 2.15/0.70 inference(fool_elimination,[status(thm)],[f104])). 2.15/0.70 thf(f104,plain,( 2.15/0.70 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))), 2.15/0.70 inference(rectify,[status(thm)],[f6])). 2.15/0.70 thf(f6,axiom,( 2.15/0.70 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',mimplies)). 2.15/0.70 thf(f265,plain,( 2.15/0.70 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f118])). 2.15/0.70 thf(f118,plain,( 2.15/0.70 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))), 2.15/0.70 inference(fool_elimination,[status(thm)],[f117])). 2.15/0.70 thf(f117,plain,( 2.15/0.70 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)), 2.15/0.70 inference(rectify,[status(thm)],[f10])). 2.15/0.70 thf(f10,axiom,( 2.15/0.70 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',mforall_ind)). 2.15/0.70 thf(f244,plain,( 2.15/0.70 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mbox @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))) = $true)), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f154])). 2.15/0.70 thf(f154,plain,( 2.15/0.70 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mbox @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))) = $true)), 2.15/0.70 inference(fool_elimination,[status(thm)],[f153])). 2.15/0.70 thf(f153,plain,( 2.15/0.70 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mbox @ a3 @ (very_much_likes @ X0 @ X1)) @ (very_much_likes @ X0 @ X1)))))))), 2.15/0.70 inference(rectify,[status(thm)],[f61])). 2.15/0.70 thf(f61,axiom,( 2.15/0.70 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mbox @ a3 @ (very_much_likes @ X0 @ X1)) @ (very_much_likes @ X0 @ X1)))))))), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',axiom_user_communication_1)). 2.15/0.70 thf(f1672,plain,( 2.15/0.70 ( ! [X0 : $i,X1 : $i] : (($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1671])). 2.15/0.70 thf(f1671,plain,( 2.15/0.70 ( ! [X0 : $i,X1 : $i] : (($false = $true) | ($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(duplicate_literal_removal,[status(thm)],[f1667])). 2.15/0.70 thf(f1667,plain,( 2.15/0.70 ( ! [X0 : $i,X1 : $i] : (($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ($false = $true) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(superposition,[status(thm)],[f1660,f443])). 2.15/0.70 thf(f1660,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ((a3 @ X2 @ (sK7 @ cola @ X0 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1659])). 2.15/0.70 thf(f1659,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ($false = $true) | ((a3 @ X2 @ (sK7 @ cola @ X0 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(duplicate_literal_removal,[status(thm)],[f1656])). 2.15/0.70 thf(f1656,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((a3 @ X2 @ (sK7 @ cola @ X0 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($false = $true) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan)))) )), 2.15/0.70 inference(superposition,[status(thm)],[f443,f1622])). 2.15/0.70 thf(f1622,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a3 @ X3 @ (sK7 @ cola @ X0 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ((a3 @ X2 @ (sK7 @ cola @ X0 @ jan)) = $false)) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1621])). 2.15/0.70 thf(f1621,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a3 @ X3 @ (sK7 @ cola @ X0 @ jan))) | ((a3 @ X2 @ (sK7 @ cola @ X0 @ jan)) = $false) | ($false = $true) | ($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(duplicate_literal_removal,[status(thm)],[f1616])). 2.15/0.70 thf(f1616,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ($false = (a3 @ X3 @ (sK7 @ cola @ X0 @ jan))) | ((a3 @ X2 @ (sK7 @ cola @ X0 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($false = $true) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(superposition,[status(thm)],[f443,f1605])). 2.15/0.70 thf(f1605,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (a3 @ X2 @ (sK7 @ cola @ X1 @ jan))) | ((a3 @ X0 @ (sK7 @ cola @ X1 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X1)) | ((a3 @ X4 @ (sK7 @ cola @ X1 @ jan)) = $false) | ((a3 @ X3 @ (sK7 @ cola @ X1 @ jan)) = $false)) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1604])). 2.15/0.70 thf(f1604,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((a3 @ X3 @ (sK7 @ cola @ X1 @ jan)) = $false) | ($false != $false) | ((a3 @ X0 @ (sK7 @ cola @ X1 @ jan)) = $false) | ($false = (a3 @ X2 @ (sK7 @ cola @ X1 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X1)) | ((a3 @ X4 @ (sK7 @ cola @ X1 @ jan)) = $false)) )), 2.15/0.70 inference(equality_factoring,[status(thm)],[f1527])). 2.15/0.70 thf(f1527,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (a3 @ X4 @ (sK7 @ cola @ X0 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((a3 @ X2 @ (sK7 @ cola @ X0 @ jan)) = $false) | ($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ($false = (a3 @ X3 @ (sK7 @ cola @ X0 @ jan))) | ((a3 @ X5 @ (sK7 @ cola @ X0 @ jan)) = $false)) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1519])). 2.15/0.70 thf(f1519,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a3 @ X4 @ (sK7 @ cola @ X0 @ jan))) | ($false = (a3 @ X3 @ (sK7 @ cola @ X0 @ jan))) | ($false = $true) | ((a3 @ X2 @ (sK7 @ cola @ X0 @ jan)) = $false) | ($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ((a3 @ X5 @ (sK7 @ cola @ X0 @ jan)) = $false)) )), 2.15/0.70 inference(superposition,[status(thm)],[f352,f1066])). 2.15/0.70 thf(f1066,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (likes @ jan @ cola @ (sK7 @ cola @ X0 @ jan))) | ($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ($false = (a3 @ X3 @ (sK7 @ cola @ X0 @ jan))) | ((a3 @ X2 @ (sK7 @ cola @ X0 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a3 @ X4 @ (sK7 @ cola @ X0 @ jan)))) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1062])). 2.15/0.70 thf(f1062,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((a3 @ X2 @ (sK7 @ cola @ X0 @ jan)) = $false) | ($false = (a3 @ X4 @ (sK7 @ cola @ X0 @ jan))) | ($false = $true) | ($false = (likes @ jan @ cola @ (sK7 @ cola @ X0 @ jan))) | ($false = (a3 @ X3 @ (sK7 @ cola @ X0 @ jan))) | ($false = (a3 @ X1 @ (sK7 @ cola @ X0 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(superposition,[status(thm)],[f442,f1053])). 2.15/0.70 thf(f1053,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a3 @ X4 @ X0)) | ($false = (a3 @ X1 @ X0)) | ((likes @ jan @ cola @ X0) = $false) | ((a3 @ X3 @ X0) = $false) | ($false = (a3 @ X2 @ X0))) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1052])). 2.15/0.70 thf(f1052,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (a3 @ X2 @ X0)) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((a3 @ X3 @ X0) = $false) | ($false = (a3 @ X4 @ X0)) | ((likes @ jan @ cola @ X0) = $false) | ($false = (a3 @ X1 @ X0)) | ($false = $true)) )), 2.15/0.70 inference(duplicate_literal_removal,[status(thm)],[f1051])). 2.15/0.70 thf(f1051,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((a3 @ X3 @ X0) = $false) | ($false = (a3 @ X4 @ X0)) | ($false = (a3 @ X2 @ X0)) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((likes @ jan @ cola @ X0) = $false) | ((likes @ jan @ cola @ X0) = $false) | ($false = $true) | ($false = (a3 @ X1 @ X0))) )), 2.15/0.70 inference(superposition,[status(thm)],[f862,f1043])). 2.15/0.70 thf(f1043,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a1 @ X0 @ (sK3 @ cola @ X1 @ jan))) | ($false = (a3 @ X3 @ X1)) | ($true = (very_much_likes @ jan @ cola @ X1)) | ($false = (a3 @ X2 @ X1)) | ((likes @ jan @ cola @ X1) = $false)) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1042])). 2.15/0.70 thf(f1042,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (very_much_likes @ jan @ cola @ X1)) | ($false = (a3 @ X2 @ X1)) | ((likes @ jan @ cola @ X1) = $false) | ($false = (a3 @ X3 @ X1)) | ($false != $false) | ($false = (a1 @ X0 @ (sK3 @ cola @ X1 @ jan)))) )), 2.15/0.70 inference(equality_factoring,[status(thm)],[f1036])). 2.15/0.70 thf(f1036,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (a1 @ X4 @ (sK3 @ cola @ X0 @ jan))) | ((a1 @ X1 @ (sK3 @ cola @ X0 @ jan)) = $false) | ((likes @ jan @ cola @ X0) = $false) | ($false = (a3 @ X2 @ X0)) | ((a3 @ X3 @ X0) = $false) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1035])). 2.15/0.70 thf(f1035,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((a1 @ X1 @ (sK3 @ cola @ X0 @ jan)) = $false) | ((a3 @ X3 @ X0) = $false) | ($false = (a1 @ X4 @ (sK3 @ cola @ X0 @ jan))) | ((likes @ jan @ cola @ X0) = $false) | ($false = $true) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a3 @ X2 @ X0))) )), 2.15/0.70 inference(duplicate_literal_removal,[status(thm)],[f1028])). 2.15/0.70 thf(f1028,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (a3 @ X2 @ X0)) | ((a3 @ X3 @ X0) = $false) | ((likes @ jan @ cola @ X0) = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((likes @ jan @ cola @ X0) = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((a1 @ X1 @ (sK3 @ cola @ X0 @ jan)) = $false) | ($false = $true) | ($false = (a1 @ X4 @ (sK3 @ cola @ X0 @ jan)))) )), 2.15/0.70 inference(superposition,[status(thm)],[f605,f1017])). 2.15/0.70 thf(f1017,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((a2 @ X0 @ (sK2 @ cola @ X1 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X1)) | ($false = (a3 @ X2 @ X1)) | ((a1 @ X3 @ (sK3 @ cola @ X1 @ jan)) = $false) | ((likes @ jan @ cola @ X1) = $false)) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f1014])). 2.15/0.70 thf(f1014,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((likes @ jan @ cola @ X1) = $false) | ((a1 @ X3 @ (sK3 @ cola @ X1 @ jan)) = $false) | ((a2 @ X0 @ (sK2 @ cola @ X1 @ jan)) = $false) | ($false != $false) | ($true = (very_much_likes @ jan @ cola @ X1)) | ($false = (a3 @ X2 @ X1))) )), 2.15/0.70 inference(equality_factoring,[status(thm)],[f1006])). 2.15/0.70 thf(f1006,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (a2 @ X1 @ (sK2 @ cola @ X0 @ jan))) | ($false = (a3 @ X2 @ X0)) | ((a2 @ X4 @ (sK2 @ cola @ X0 @ jan)) = $false) | ((likes @ jan @ cola @ X0) = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a1 @ X3 @ (sK3 @ cola @ X0 @ jan)))) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f999])). 2.15/0.70 thf(f999,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = $true) | ((a2 @ X4 @ (sK2 @ cola @ X0 @ jan)) = $false) | ($false = (a2 @ X1 @ (sK2 @ cola @ X0 @ jan))) | ($false = (a3 @ X2 @ X0)) | ($false = (a1 @ X3 @ (sK3 @ cola @ X0 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((likes @ jan @ cola @ X0) = $false)) )), 2.15/0.70 inference(superposition,[status(thm)],[f427,f764])). 2.15/0.70 thf(f764,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((likes @ jan @ pepsi @ (sK2 @ cola @ X0 @ jan)) = $false) | ((likes @ jan @ cola @ X0) = $false) | ((a3 @ X3 @ X0) = $false) | ($false = (a1 @ X2 @ (sK3 @ cola @ X0 @ jan))) | ($false = (a2 @ X1 @ (sK2 @ cola @ X0 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f760])). 2.15/0.70 thf(f760,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a1 @ X2 @ (sK3 @ cola @ X0 @ jan))) | ($false = (a2 @ X1 @ (sK2 @ cola @ X0 @ jan))) | ((a3 @ X3 @ X0) = $false) | ($false = $true) | ((likes @ jan @ cola @ X0) = $false) | ((likes @ jan @ pepsi @ (sK2 @ cola @ X0 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(superposition,[status(thm)],[f418,f648])). 2.15/0.70 thf(f648,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((likes @ jan @ cola @ (sK2 @ cola @ X0 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((likes @ jan @ cola @ X0) = $false) | ($false = (a1 @ X2 @ (sK3 @ cola @ X0 @ jan))) | ($false = (a3 @ X1 @ X0))) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f621])). 2.15/0.70 thf(f621,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a1 @ X2 @ (sK3 @ cola @ X0 @ jan))) | ((likes @ jan @ cola @ X0) = $false) | ((likes @ jan @ cola @ (sK2 @ cola @ X0 @ jan)) = $false) | ($false = $true) | ($false = (a3 @ X1 @ X0))) )), 2.15/0.70 inference(superposition,[status(thm)],[f388,f334])). 2.15/0.70 thf(f334,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : (((likes @ jan @ cola @ X2) = $true) | ($false = (a1 @ X1 @ X2))) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f333])). 2.15/0.70 thf(f333,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : (((likes @ jan @ cola @ X2) = $true) | ((~ (a1 @ X1 @ X2)) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f332])). 2.15/0.70 thf(f332,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : ((((likes @ jan @ cola @ X2) | (~ (a1 @ X1 @ X2))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f331])). 2.15/0.70 thf(f331,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a1 @ X1 @ Y0)))) @ X2) = $true)) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f330])). 2.15/0.70 thf(f330,plain,( 2.15/0.70 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a1 @ X1 @ Y0))))))) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f329])). 2.15/0.70 thf(f329,plain,( 2.15/0.70 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1)))))) @ X1) = $true)) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f312])). 2.15/0.70 thf(f312,plain,( 2.15/0.70 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1))))))) = $true)), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f285])). 2.15/0.70 thf(f285,plain,( 2.15/0.70 ($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))))), 2.15/0.70 inference(definition_unfolding,[status(thm)],[f248,f225,f250])). 2.15/0.70 thf(f248,plain,( 2.15/0.70 ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f95])). 2.15/0.70 thf(f95,plain,( 2.15/0.70 ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)), 2.15/0.70 inference(fool_elimination,[status(thm)],[f94])). 2.15/0.70 thf(f94,plain,( 2.15/0.70 (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))), 2.15/0.70 inference(rectify,[status(thm)],[f60])). 2.15/0.70 thf(f60,axiom,( 2.15/0.70 (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',axiom_a1_1)). 2.15/0.70 thf(f388,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (likes @ X2 @ X3 @ (sK3 @ X3 @ X4 @ X2))) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (a3 @ X1 @ X4)) | ((likes @ X2 @ X3 @ (sK2 @ X3 @ X4 @ X2)) = $false) | ((very_much_likes @ X2 @ X3 @ X4) = $true)) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f387])). 2.15/0.70 thf(f387,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((~ (a3 @ X1 @ X4)) = $true) | ($false = (likes @ X2 @ X3 @ (sK3 @ X3 @ X4 @ X2))) | ((likes @ X2 @ X3 @ X4) = $false) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((likes @ X2 @ X3 @ (sK2 @ X3 @ X4 @ X2)) = $false)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f385])). 2.15/0.70 thf(f385,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = ((likes @ X2 @ X3 @ (sK3 @ X3 @ X4 @ X2)) | (~ (a1 @ X4 @ (sK3 @ X3 @ X4 @ X2))))) | ((likes @ X2 @ X3 @ X4) = $false) | ((likes @ X2 @ X3 @ (sK2 @ X3 @ X4 @ X2)) = $false) | ((~ (a3 @ X1 @ X4)) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f384])). 2.15/0.70 thf(f384,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ (sK2 @ X3 @ X4 @ X2)) = $false) | (((^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))) @ (sK3 @ X3 @ X4 @ X2)) = $false) | ((likes @ X2 @ X3 @ X4) = $false) | ((~ (a3 @ X1 @ X4)) = $true) | ((very_much_likes @ X2 @ X3 @ X4) = $true)) )), 2.15/0.70 inference(sigma_clausification,[status(thm)],[f383])). 2.15/0.70 thf(f383,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ X4) = $false) | ((likes @ X2 @ X3 @ (sK2 @ X3 @ X4 @ X2)) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | ((~ (a3 @ X1 @ X4)) = $true) | ((very_much_likes @ X2 @ X3 @ X4) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f381])). 2.15/0.70 thf(f381,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ X4) = $false) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | (((likes @ X2 @ X3 @ (sK2 @ X3 @ X4 @ X2)) | (~ (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2)))) = $false) | ((~ (a3 @ X1 @ X4)) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f380])). 2.15/0.70 thf(f380,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (((likes @ X2 @ X3 @ (sK2 @ X3 @ X4 @ X2)) | (~ (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2)))) = $false) | ((~ (a3 @ X1 @ X4)) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f379])). 2.15/0.70 thf(f379,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = ((^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))) @ (sK2 @ X3 @ X4 @ X2))) | ((~ (a3 @ X1 @ X4)) = $true)) )), 2.15/0.70 inference(sigma_clausification,[status(thm)],[f378])). 2.15/0.70 thf(f378,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0))))) = $false) | ((~ (a3 @ X1 @ X4)) = $true) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f377])). 2.15/0.70 thf(f377,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) | ((!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0))))) = $false) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ((~ (a3 @ X1 @ X4)) = $true) | ((very_much_likes @ X2 @ X3 @ X4) = $true)) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f376])). 2.15/0.70 thf(f376,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((~ (a3 @ X1 @ X4)) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f375])). 2.15/0.70 thf(f375,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))))) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((~ (a3 @ X1 @ X4)) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f374])). 2.15/0.70 thf(f374,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) | (~ (likes @ X2 @ X3 @ X4)))) | ((~ (a3 @ X1 @ X4)) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f373])). 2.15/0.70 thf(f373,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : ((((very_much_likes @ X2 @ X3 @ X4) | (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) | (~ (likes @ X2 @ X3 @ X4)))) = $true) | ((~ (a3 @ X1 @ X4)) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f372])). 2.15/0.70 thf(f372,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((((very_much_likes @ X2 @ X3 @ X4) | (((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) | (~ (likes @ X2 @ X3 @ X4)))) | (~ (a3 @ X1 @ X4))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f371])). 2.15/0.70 thf(f371,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: (((very_much_likes @ X2 @ X3 @ Y0) | (((~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a2 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a1 @ Y0 @ Y1))))))) | (~ (likes @ X2 @ X3 @ Y0)))) | (~ (a3 @ X1 @ Y0)))) @ X4))) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f370])). 2.15/0.70 thf(f370,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((very_much_likes @ X2 @ X3 @ Y0) | (((~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a2 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a1 @ Y0 @ Y1))))))) | (~ (likes @ X2 @ X3 @ Y0)))) | (~ (a3 @ X1 @ Y0))))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f369])). 2.15/0.70 thf(f369,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((very_much_likes @ X2 @ Y0 @ Y1) | (((~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a2 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a1 @ Y1 @ Y2))))))) | (~ (likes @ X2 @ Y0 @ Y1)))) | (~ (a3 @ X1 @ Y1)))))) @ X3))) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f368])). 2.15/0.70 thf(f368,plain,( 2.15/0.70 ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((very_much_likes @ X2 @ Y0 @ Y1) | (((~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a2 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a1 @ Y1 @ Y2))))))) | (~ (likes @ X2 @ Y0 @ Y1)))) | (~ (a3 @ X1 @ Y1))))))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f367])). 2.15/0.70 thf(f367,plain,( 2.15/0.70 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((very_much_likes @ Y0 @ Y1 @ Y2) | (((~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a2 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a1 @ Y2 @ Y3))))))) | (~ (likes @ Y0 @ Y1 @ Y2)))) | (~ (a3 @ X1 @ Y2)))))))) @ X2))) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f366])). 2.15/0.70 thf(f366,plain,( 2.15/0.70 ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((very_much_likes @ Y0 @ Y1 @ Y2) | (((~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a2 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a1 @ Y2 @ Y3))))))) | (~ (likes @ Y0 @ Y1 @ Y2)))) | (~ (a3 @ X1 @ Y2))))))))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f365])). 2.15/0.70 thf(f365,plain,( 2.15/0.70 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | (((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))) | (~ (a3 @ Y0 @ Y3)))))))))) @ X1) = $true)) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f306])). 2.15/0.70 thf(f306,plain,( 2.15/0.70 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | (((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))) | (~ (a3 @ Y0 @ Y3))))))))))) = $true)), 2.15/0.70 inference(boolean_simplification,[status(thm)],[f305])). 2.15/0.70 thf(f305,plain,( 2.15/0.70 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | ((~ (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))) | (~ (a3 @ Y0 @ Y3))))))))))) = $true)), 2.15/0.70 inference(boolean_simplification,[status(thm)],[f304])). 2.15/0.70 thf(f304,plain,( 2.15/0.70 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((very_much_likes @ Y1 @ Y2 @ Y3) | (~ (~ ((~ (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4))))))))) | (~ (likes @ Y1 @ Y2 @ Y3)))))) | (~ (a3 @ Y0 @ Y3))))))))))))), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f273])). 2.15/0.70 thf(f273,plain,( 2.15/0.70 (((^[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 > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a3 @ ((^[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 > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ (likes @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a1 @ (likes @ Y0 @ Y1)) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a2 @ (likes @ Y0 @ Y1)))) @ (very_much_likes @ Y0 @ Y1)))))))) = $true)), 2.15/0.70 inference(definition_unfolding,[status(thm)],[f226,f225,f265,f265,f250,f267,f266,f266,f250,f250])). 2.15/0.70 thf(f266,plain,( 2.15/0.70 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))), 2.15/0.70 inference(definition_unfolding,[status(thm)],[f237,f258,f219,f258,f258])). 2.15/0.70 thf(f237,plain,( 2.15/0.70 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f77])). 2.15/0.70 thf(f77,plain,( 2.15/0.70 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))), 2.15/0.70 inference(fool_elimination,[status(thm)],[f76])). 2.15/0.70 thf(f76,plain,( 2.15/0.70 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)), 2.15/0.70 inference(rectify,[status(thm)],[f5])). 2.15/0.70 thf(f5,axiom,( 2.15/0.70 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',mand)). 2.15/0.70 thf(f226,plain,( 2.15/0.70 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mbox @ a3 @ (mimplies @ (mand @ (likes @ Y0 @ Y1) @ (mand @ (mbox @ a1 @ (likes @ Y0 @ Y1)) @ (mbox @ a2 @ (likes @ Y0 @ Y1)))) @ (very_much_likes @ Y0 @ Y1)))))))) = $true)), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f89])). 2.15/0.70 thf(f89,plain,( 2.15/0.70 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mbox @ a3 @ (mimplies @ (mand @ (likes @ Y0 @ Y1) @ (mand @ (mbox @ a1 @ (likes @ Y0 @ Y1)) @ (mbox @ a2 @ (likes @ Y0 @ Y1)))) @ (very_much_likes @ Y0 @ Y1)))))))) = $true)), 2.15/0.70 inference(fool_elimination,[status(thm)],[f88])). 2.15/0.70 thf(f88,plain,( 2.15/0.70 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mbox @ a3 @ (mimplies @ (mand @ (likes @ X0 @ X1) @ (mand @ (mbox @ a1 @ (likes @ X0 @ X1)) @ (mbox @ a2 @ (likes @ X0 @ X1)))) @ (very_much_likes @ X0 @ X1))))))))), 2.15/0.70 inference(rectify,[status(thm)],[f46])). 2.15/0.70 thf(f46,axiom,( 2.15/0.70 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mbox @ a3 @ (mimplies @ (mand @ (likes @ X0 @ X1) @ (mand @ (mbox @ a1 @ (likes @ X0 @ X1)) @ (mbox @ a2 @ (likes @ X0 @ X1)))) @ (very_much_likes @ X0 @ X1))))))))), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',axiom_a3_4)). 2.15/0.70 thf(f418,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = (likes @ X2 @ cola @ X3)) | ($false = (likes @ X2 @ pepsi @ X3)) | ($false = (a2 @ X1 @ X3))) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f417])). 2.15/0.70 thf(f417,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : $i,X1 : $i] : (((~ (a2 @ X1 @ X3)) = $true) | ($false = (likes @ X2 @ pepsi @ X3)) | ($true = (likes @ X2 @ cola @ X3))) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f416])). 2.15/0.70 thf(f416,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = (likes @ X2 @ cola @ X3)) | ((~ (likes @ X2 @ pepsi @ X3)) = $true) | ((~ (a2 @ X1 @ X3)) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f415])). 2.15/0.70 thf(f415,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = ((likes @ X2 @ cola @ X3) | (~ (likes @ X2 @ pepsi @ X3)))) | ((~ (a2 @ X1 @ X3)) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f414])). 2.15/0.70 thf(f414,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : $i,X1 : $i] : (((((likes @ X2 @ cola @ X3) | (~ (likes @ X2 @ pepsi @ X3))) | (~ (a2 @ X1 @ X3))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f413])). 2.15/0.70 thf(f413,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((likes @ X2 @ cola @ Y0) | (~ (likes @ X2 @ pepsi @ Y0))) | (~ (a2 @ X1 @ Y0)))) @ X3) = $true)) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f412])). 2.15/0.70 thf(f412,plain,( 2.15/0.70 ( ! [X2 : mu,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((likes @ X2 @ cola @ Y0) | (~ (likes @ X2 @ pepsi @ Y0))) | (~ (a2 @ X1 @ Y0))))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f411])). 2.15/0.70 thf(f411,plain,( 2.15/0.70 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((likes @ Y0 @ cola @ Y1) | (~ (likes @ Y0 @ pepsi @ Y1))) | (~ (a2 @ X1 @ Y1)))))) @ X2))) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f410])). 2.15/0.70 thf(f410,plain,( 2.15/0.70 ( ! [X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: (((likes @ Y0 @ cola @ Y1) | (~ (likes @ Y0 @ pepsi @ Y1))) | (~ (a2 @ X1 @ Y1))))))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f409])). 2.15/0.70 thf(f409,plain,( 2.15/0.70 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((likes @ Y1 @ cola @ Y2) | (~ (likes @ Y1 @ pepsi @ Y2))) | (~ (a2 @ Y0 @ Y2)))))))) @ X1) = $true)) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f302])). 2.15/0.70 thf(f302,plain,( 2.15/0.70 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: (((likes @ Y1 @ cola @ Y2) | (~ (likes @ Y1 @ pepsi @ Y2))) | (~ (a2 @ Y0 @ Y2))))))))) = $true)), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f276])). 2.15/0.70 thf(f276,plain,( 2.15/0.70 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ a2 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ (likes @ Y0 @ pepsi) @ (likes @ Y0 @ cola)))))) = $true)), 2.15/0.70 inference(definition_unfolding,[status(thm)],[f231,f225,f265,f250,f267])). 2.15/0.70 thf(f231,plain,( 2.15/0.70 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mbox @ a2 @ (mimplies @ (likes @ Y0 @ pepsi) @ (likes @ Y0 @ cola)))))) = $true)), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f99])). 2.15/0.70 thf(f99,plain,( 2.15/0.70 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mbox @ a2 @ (mimplies @ (likes @ Y0 @ pepsi) @ (likes @ Y0 @ cola)))))) = $true)), 2.15/0.70 inference(fool_elimination,[status(thm)],[f98])). 2.15/0.70 thf(f98,plain,( 2.15/0.70 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mbox @ a2 @ (mimplies @ (likes @ X0 @ pepsi) @ (likes @ X0 @ cola))))))), 2.15/0.70 inference(rectify,[status(thm)],[f64])). 2.15/0.70 thf(f64,axiom,( 2.15/0.70 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mbox @ a2 @ (mimplies @ (likes @ X0 @ pepsi) @ (likes @ X0 @ cola))))))), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',axiom_a2_4)). 2.15/0.70 thf(f427,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : (((likes @ jan @ pepsi @ X2) = $true) | ((a2 @ X1 @ X2) = $false)) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f426])). 2.15/0.70 thf(f426,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : (((~ (a2 @ X1 @ X2)) = $true) | ((likes @ jan @ pepsi @ X2) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f425])). 2.15/0.70 thf(f425,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : ((((likes @ jan @ pepsi @ X2) | (~ (a2 @ X1 @ X2))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f424])). 2.15/0.70 thf(f424,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((likes @ jan @ pepsi @ Y0) | (~ (a2 @ X1 @ Y0)))) @ X2) = $true)) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f423])). 2.15/0.70 thf(f423,plain,( 2.15/0.70 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ pepsi @ Y0) | (~ (a2 @ X1 @ Y0))))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f422])). 2.15/0.70 thf(f422,plain,( 2.15/0.70 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ pepsi @ Y1) | (~ (a2 @ Y0 @ Y1)))))) @ X1))) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f300])). 2.15/0.70 thf(f300,plain,( 2.15/0.70 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ pepsi @ Y1) | (~ (a2 @ Y0 @ Y1))))))))), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f284])). 2.15/0.70 thf(f284,plain,( 2.15/0.70 ($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)))))))))) @ a2 @ (likes @ jan @ pepsi))))), 2.15/0.70 inference(definition_unfolding,[status(thm)],[f247,f225,f250])). 2.15/0.70 thf(f247,plain,( 2.15/0.70 ((mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi))) = $true)), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f97])). 2.15/0.70 thf(f97,plain,( 2.15/0.70 ((mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi))) = $true)), 2.15/0.70 inference(fool_elimination,[status(thm)],[f96])). 2.15/0.70 thf(f96,plain,( 2.15/0.70 (mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi)))), 2.15/0.70 inference(rectify,[status(thm)],[f68])). 2.15/0.70 thf(f68,axiom,( 2.15/0.70 (mvalid @ (mbox @ a2 @ (likes @ jan @ pepsi)))), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',axiom_a2_1)). 2.15/0.70 thf(f605,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((a2 @ X0 @ (sK2 @ cola @ X0 @ jan)) = $true) | ((a1 @ X1 @ (sK3 @ cola @ X0 @ jan)) = $false) | ($false = (a3 @ X2 @ X0)) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((likes @ jan @ cola @ X0) = $false)) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f587])). 2.15/0.70 thf(f587,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (a3 @ X2 @ X0)) | ($false = $true) | ((a1 @ X1 @ (sK3 @ cola @ X0 @ jan)) = $false) | ((likes @ jan @ cola @ X0) = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((a2 @ X0 @ (sK2 @ cola @ X0 @ jan)) = $true)) )), 2.15/0.70 inference(superposition,[status(thm)],[f334,f396])). 2.15/0.70 thf(f396,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (likes @ X2 @ X3 @ (sK3 @ X3 @ X4 @ X2))) | ((likes @ X2 @ X3 @ X4) = $false) | ($true = (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2))) | ($false = (a3 @ X1 @ X4)) | ((very_much_likes @ X2 @ X3 @ X4) = $true)) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f395])). 2.15/0.70 thf(f395,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ X4) = $false) | ($false = (~ (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2)))) | ($false = (likes @ X2 @ X3 @ (sK3 @ X3 @ X4 @ X2))) | ($false = (a3 @ X1 @ X4)) | ((very_much_likes @ X2 @ X3 @ X4) = $true)) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f394])). 2.15/0.70 thf(f394,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((~ (a3 @ X1 @ X4)) = $true) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = (likes @ X2 @ X3 @ (sK3 @ X3 @ X4 @ X2))) | ($false = (~ (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2)))) | ((likes @ X2 @ X3 @ X4) = $false)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f392])). 2.15/0.70 thf(f392,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = ((likes @ X2 @ X3 @ (sK3 @ X3 @ X4 @ X2)) | (~ (a1 @ X4 @ (sK3 @ X3 @ X4 @ X2))))) | ($false = (~ (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2)))) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((~ (a3 @ X1 @ X4)) = $true) | ((likes @ X2 @ X3 @ X4) = $false)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f391])). 2.15/0.70 thf(f391,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ((~ (a3 @ X1 @ X4)) = $true) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (~ (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2)))) | (((^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))) @ (sK3 @ X3 @ X4 @ X2)) = $false)) )), 2.15/0.70 inference(sigma_clausification,[status(thm)],[f382])). 2.15/0.70 thf(f382,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | ($false = (~ (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2)))) | ((likes @ X2 @ X3 @ X4) = $false) | ((~ (a3 @ X1 @ X4)) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f381])). 2.15/0.70 thf(f862,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((a1 @ X0 @ (sK3 @ cola @ X0 @ jan)) = $true) | ($false = (a3 @ X2 @ X0)) | ((likes @ jan @ cola @ X0) = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a3 @ X1 @ X0))) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f861])). 2.15/0.70 thf(f861,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (a3 @ X1 @ X0)) | ((likes @ jan @ cola @ X0) = $false) | ((a1 @ X0 @ (sK3 @ cola @ X0 @ jan)) = $true) | ($false = (a3 @ X2 @ X0)) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($false = $true)) )), 2.15/0.70 inference(duplicate_literal_removal,[status(thm)],[f856])). 2.15/0.70 thf(f856,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (very_much_likes @ jan @ cola @ X0)) | ((likes @ jan @ cola @ X0) = $false) | ((a1 @ X0 @ (sK3 @ cola @ X0 @ jan)) = $true) | ((likes @ jan @ cola @ X0) = $false) | ($false = (a3 @ X2 @ X0)) | ((a1 @ X0 @ (sK3 @ cola @ X0 @ jan)) = $true) | ($false = (a3 @ X1 @ X0)) | ($false = $true) | ($true = (very_much_likes @ jan @ cola @ X0))) )), 2.15/0.70 inference(superposition,[status(thm)],[f399,f851])). 2.15/0.70 thf(f851,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((a2 @ X0 @ (sK2 @ cola @ X1 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X1)) | ((likes @ jan @ cola @ X1) = $false) | ($false = (a3 @ X2 @ X1)) | ((a1 @ X1 @ (sK3 @ cola @ X1 @ jan)) = $true)) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f841])). 2.15/0.70 thf(f841,plain,( 2.15/0.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((likes @ jan @ cola @ X1) = $false) | ($false != $false) | ($false = (a3 @ X2 @ X1)) | ((a1 @ X1 @ (sK3 @ cola @ X1 @ jan)) = $true) | ((a2 @ X0 @ (sK2 @ cola @ X1 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X1))) )), 2.15/0.70 inference(equality_factoring,[status(thm)],[f831])). 2.15/0.70 thf(f831,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a2 @ X2 @ (sK2 @ cola @ X0 @ jan))) | ($false = (a2 @ X1 @ (sK2 @ cola @ X0 @ jan))) | ((likes @ jan @ cola @ X0) = $false) | ((a3 @ X3 @ X0) = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((a1 @ X0 @ (sK3 @ cola @ X0 @ jan)) = $true)) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f823])). 2.15/0.70 thf(f823,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a2 @ X2 @ (sK2 @ cola @ X0 @ jan))) | ((likes @ jan @ cola @ X0) = $false) | ($false = (a2 @ X1 @ (sK2 @ cola @ X0 @ jan))) | ($false = $true) | ((a3 @ X3 @ X0) = $false) | ((a1 @ X0 @ (sK3 @ cola @ X0 @ jan)) = $true)) )), 2.15/0.70 inference(superposition,[status(thm)],[f427,f550])). 2.15/0.70 thf(f550,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : mu,X1 : $i] : (((likes @ X0 @ pepsi @ (sK2 @ cola @ X1 @ X0)) = $false) | ((a1 @ X1 @ (sK3 @ cola @ X1 @ X0)) = $true) | ($false = (a2 @ X3 @ (sK2 @ cola @ X1 @ X0))) | ($true = (very_much_likes @ X0 @ cola @ X1)) | ($false = (likes @ X0 @ cola @ X1)) | ($false = (a3 @ X2 @ X1))) )), 2.15/0.70 inference(trivial_inequality_removal,[status(thm)],[f525])). 2.15/0.70 thf(f525,plain,( 2.15/0.70 ( ! [X2 : $i,X3 : $i,X0 : mu,X1 : $i] : (($true = (very_much_likes @ X0 @ cola @ X1)) | ((a1 @ X1 @ (sK3 @ cola @ X1 @ X0)) = $true) | ($false = (likes @ X0 @ cola @ X1)) | ($false = (a3 @ X2 @ X1)) | ($false = (a2 @ X3 @ (sK2 @ cola @ X1 @ X0))) | ((likes @ X0 @ pepsi @ (sK2 @ cola @ X1 @ X0)) = $false) | ($false = $true)) )), 2.15/0.70 inference(superposition,[status(thm)],[f390,f418])). 2.15/0.70 thf(f390,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ (sK2 @ X3 @ X4 @ X2)) = $false) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((likes @ X2 @ X3 @ X4) = $false) | ($true = (a1 @ X4 @ (sK3 @ X3 @ X4 @ X2))) | ($false = (a3 @ X1 @ X4))) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f389])). 2.15/0.70 thf(f389,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((~ (a3 @ X1 @ X4)) = $true) | ((likes @ X2 @ X3 @ X4) = $false) | ((likes @ X2 @ X3 @ (sK2 @ X3 @ X4 @ X2)) = $false) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ($true = (a1 @ X4 @ (sK3 @ X3 @ X4 @ X2)))) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f386])). 2.15/0.70 thf(f386,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = (~ (a1 @ X4 @ (sK3 @ X3 @ X4 @ X2)))) | ((~ (a3 @ X1 @ X4)) = $true) | ((likes @ X2 @ X3 @ X4) = $false) | ((likes @ X2 @ X3 @ (sK2 @ X3 @ X4 @ X2)) = $false)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f385])). 2.15/0.70 thf(f399,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2))) | ($true = (a1 @ X4 @ (sK3 @ X3 @ X4 @ X2))) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (a3 @ X1 @ X4)) | ((very_much_likes @ X2 @ X3 @ X4) = $true)) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f398])). 2.15/0.70 thf(f398,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ X4) = $false) | ($true = (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2))) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ($false = (a3 @ X1 @ X4)) | ($false = (~ (a1 @ X4 @ (sK3 @ X3 @ X4 @ X2))))) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f397])). 2.15/0.70 thf(f397,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ X4) = $false) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((~ (a3 @ X1 @ X4)) = $true) | ($true = (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2))) | ($false = (~ (a1 @ X4 @ (sK3 @ X3 @ X4 @ X2))))) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f393])). 2.15/0.70 thf(f393,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (~ (a2 @ X4 @ (sK2 @ X3 @ X4 @ X2)))) | ((likes @ X2 @ X3 @ X4) = $false) | ($false = (~ (a1 @ X4 @ (sK3 @ X3 @ X4 @ X2)))) | ((very_much_likes @ X2 @ X3 @ X4) = $true) | ((~ (a3 @ X1 @ X4)) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f392])). 2.15/0.70 thf(f442,plain,( 2.15/0.70 ( ! [X2 : mu,X3 : mu,X1 : $i] : (((very_much_likes @ X2 @ X3 @ (sK7 @ X3 @ X1 @ X2)) = $false) | ((very_much_likes @ X2 @ X3 @ X1) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f440])). 2.15/0.70 thf(f352,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : (((likes @ jan @ cola @ X2) = $true) | ($false = (a3 @ X1 @ X2))) )), 2.15/0.70 inference(not_proxy_clausification,[status(thm)],[f351])). 2.15/0.70 thf(f351,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : (((likes @ jan @ cola @ X2) = $true) | ((~ (a3 @ X1 @ X2)) = $true)) )), 2.15/0.70 inference(binary_proxy_clausification,[status(thm)],[f350])). 2.15/0.70 thf(f350,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : ((((likes @ jan @ cola @ X2) | (~ (a3 @ X1 @ X2))) = $true)) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f349])). 2.15/0.70 thf(f349,plain,( 2.15/0.70 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a3 @ X1 @ Y0)))) @ X2) = $true)) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f348])). 2.15/0.70 thf(f348,plain,( 2.15/0.70 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a3 @ X1 @ Y0))))))) )), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f347])). 2.15/0.70 thf(f347,plain,( 2.15/0.70 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a3 @ Y0 @ Y1)))))) @ X1))) )), 2.15/0.70 inference(pi_clausification,[status(thm)],[f309])). 2.15/0.70 thf(f309,plain,( 2.15/0.70 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a3 @ Y0 @ Y1))))))) = $true)), 2.15/0.70 inference(beta_eta_normalization,[status(thm)],[f289])). 2.15/0.70 thf(f289,plain,( 2.15/0.70 (((^[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)))))))))) @ a3 @ (likes @ jan @ cola))) = $true)), 2.15/0.70 inference(definition_unfolding,[status(thm)],[f261,f225,f250])). 2.15/0.70 thf(f261,plain,( 2.15/0.70 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)), 2.15/0.70 inference(cnf_transformation,[status(thm)],[f79])). 2.15/0.70 thf(f79,plain,( 2.15/0.70 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)), 2.15/0.70 inference(fool_elimination,[status(thm)],[f78])). 2.15/0.70 thf(f78,plain,( 2.15/0.70 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))), 2.15/0.70 inference(rectify,[status(thm)],[f63])). 2.15/0.70 thf(f63,axiom,( 2.15/0.70 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))), 2.15/0.70 file('/export/starexec/sandbox/tmp/tmp.2CVMA4AwKJ/E---3.1_10601.p',axiom_a3_1)). 2.15/0.70 % SZS output end Proof for E---3.1_10601 2.15/0.70 % (10735)------------------------------ 2.15/0.70 % (10735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.15/0.70 % (10735)Termination reason: Refutation 2.15/0.70 2.15/0.70 % (10735)Memory used [KB]: 6780 2.15/0.70 % (10735)Time elapsed: 0.206 s 2.15/0.70 % (10735)Instructions burned: 602 (million) 2.15/0.70 % (10735)------------------------------ 2.15/0.70 % (10735)------------------------------ 2.15/0.70 % (10707)Success in time 0.344 s 2.15/0.70 EOF