0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : run_vampire %s %d THM 0.13/0.33 % Computer : n025.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1920 0.13/0.33 % WCLimit : 240 0.13/0.33 % DateTime : Wed Jul 30 02:00:49 EDT 2025 0.13/0.33 % CPUTime : 0.13/0.35 This is a THF_ problem 0.13/0.35 Running higher-order theorem proving 0.13/0.36 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.lzvtpzoz5l/E---3.1_18022.p -m 16384 -t 240 0.13/0.37 % (18132)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_18022 for (2399ds/2Mi) 0.13/0.38 % (18132)Instruction limit reached! 0.13/0.38 % (18132)------------------------------ 0.13/0.38 % (18132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.13/0.38 % (18132)Termination reason: Unknown 0.13/0.38 % (18132)Termination phase: Saturation 0.13/0.38 0.13/0.38 % (18132)Memory used [KB]: 1023 0.13/0.38 % (18132)Time elapsed: 0.003 s 0.13/0.38 % (18132)Instructions burned: 4 (million) 0.13/0.38 % (18132)------------------------------ 0.13/0.38 % (18132)------------------------------ 0.13/0.38 % (18129)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_18022 for (2399ds/183Mi) 0.13/0.38 % (18130)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_18022 for (2399ds/4Mi) 0.13/0.38 % (18131)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_18022 for (2399ds/27Mi) 0.13/0.38 % (18133)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_18022 for (2399ds/2Mi) 0.13/0.38 % (18134)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_18022 for (2399ds/275Mi) 0.13/0.38 % (18135)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_18022 for (2399ds/18Mi) 0.13/0.38 % (18133)Instruction limit reached! 0.13/0.38 % (18133)------------------------------ 0.13/0.38 % (18133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.13/0.38 % (18133)Termination reason: Unknown 0.13/0.38 % (18133)Termination phase: Property scanning 0.13/0.38 0.13/0.38 % (18133)Memory used [KB]: 1023 0.13/0.38 % (18133)Time elapsed: 0.004 s 0.13/0.38 % (18133)Instructions burned: 3 (million) 0.13/0.38 % (18133)------------------------------ 0.13/0.38 % (18133)------------------------------ 0.13/0.38 % (18130)Instruction limit reached! 0.13/0.38 % (18130)------------------------------ 0.13/0.38 % (18130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.13/0.38 % (18130)Termination reason: Unknown 0.13/0.38 % (18130)Termination phase: Saturation 0.13/0.38 0.13/0.38 % (18130)Memory used [KB]: 5500 0.13/0.38 % (18130)Time elapsed: 0.004 s 0.13/0.38 % (18130)Instructions burned: 4 (million) 0.13/0.38 % (18130)------------------------------ 0.13/0.38 % (18130)------------------------------ 0.13/0.39 % (18136)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_18022 for (2399ds/3Mi) 0.13/0.39 % (18136)Instruction limit reached! 0.13/0.39 % (18136)------------------------------ 0.13/0.39 % (18136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.13/0.39 % (18136)Termination reason: Unknown 0.13/0.39 % (18136)Termination phase: shuffling 0.13/0.39 0.13/0.39 % (18136)Memory used [KB]: 1023 0.13/0.39 % (18136)Time elapsed: 0.002 s 0.13/0.39 % (18136)Instructions burned: 3 (million) 0.13/0.39 % (18136)------------------------------ 0.13/0.39 % (18136)------------------------------ 0.13/0.39 % (18135)Instruction limit reached! 0.13/0.39 % (18135)------------------------------ 0.13/0.39 % (18135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.13/0.39 % (18135)Termination reason: Unknown 0.13/0.39 % (18135)Termination phase: Saturation 0.13/0.39 0.13/0.39 % (18135)Memory used [KB]: 5628 0.13/0.39 % (18135)Time elapsed: 0.014 s 0.13/0.39 % (18135)Instructions burned: 18 (million) 0.13/0.39 % (18135)------------------------------ 0.13/0.39 % (18135)------------------------------ 0.13/0.40 % (18139)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_18022 for (2399ds/3Mi) 0.13/0.40 % (18139)Instruction limit reached! 0.13/0.40 % (18139)------------------------------ 0.13/0.40 % (18139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.13/0.40 % (18139)Termination reason: Unknown 0.13/0.40 % (18139)Termination phase: Saturation 0.13/0.40 0.13/0.40 % (18139)Memory used [KB]: 5500 0.13/0.40 % (18139)Time elapsed: 0.003 s 0.13/0.40 % (18139)Instructions burned: 5 (million) 0.13/0.40 % (18139)------------------------------ 0.13/0.40 % (18139)------------------------------ 0.13/0.40 % (18131)Instruction limit reached! 0.13/0.40 % (18131)------------------------------ 0.13/0.40 % (18131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.13/0.40 % (18131)Termination reason: Unknown 0.13/0.40 % (18131)Termination phase: Saturation 0.13/0.40 0.13/0.40 % (18131)Memory used [KB]: 5756 0.13/0.40 % (18131)Time elapsed: 0.021 s 0.13/0.40 % (18131)Instructions burned: 27 (million) 0.13/0.40 % (18131)------------------------------ 0.13/0.40 % (18131)------------------------------ 0.13/0.40 % (18137)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_18022 for (2399ds/37Mi) 0.13/0.40 % (18138)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_18022 for (2399ds/15Mi) 0.22/0.41 % (18141)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_18022 for (2399ds/7Mi) 0.22/0.41 % (18141)Instruction limit reached! 0.22/0.41 % (18141)------------------------------ 0.22/0.41 % (18141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.41 % (18141)Termination reason: Unknown 0.22/0.41 % (18141)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (18141)Memory used [KB]: 1151 0.22/0.41 % (18141)Time elapsed: 0.004 s 0.22/0.41 % (18141)Instructions burned: 9 (million) 0.22/0.41 % (18141)------------------------------ 0.22/0.41 % (18141)------------------------------ 0.22/0.41 % (18140)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_18022 for (2399ds/1041Mi) 0.22/0.41 % (18138)Instruction limit reached! 0.22/0.41 % (18138)------------------------------ 0.22/0.41 % (18138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.41 % (18138)Termination reason: Unknown 0.22/0.41 % (18138)Termination phase: Saturation 0.22/0.41 0.22/0.41 % (18138)Memory used [KB]: 5628 0.22/0.41 % (18138)Time elapsed: 0.012 s 0.22/0.41 % (18138)Instructions burned: 16 (million) 0.22/0.41 % (18138)------------------------------ 0.22/0.41 % (18138)------------------------------ 0.22/0.42 % (18142)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_18022 for (2399ds/16Mi) 0.22/0.42 % (18143)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_18022 for (2399ds/3Mi) 0.22/0.42 % (18143)Instruction limit reached! 0.22/0.42 % (18143)------------------------------ 0.22/0.42 % (18143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.42 % (18143)Termination reason: Unknown 0.22/0.42 % (18143)Termination phase: SInE selection 0.22/0.42 0.22/0.42 % (18143)Memory used [KB]: 1023 0.22/0.42 % (18143)Time elapsed: 0.002 s 0.22/0.42 % (18143)Instructions burned: 3 (million) 0.22/0.42 % (18143)------------------------------ 0.22/0.42 % (18143)------------------------------ 0.22/0.42 % (18137)Instruction limit reached! 0.22/0.42 % (18137)------------------------------ 0.22/0.42 % (18137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.42 % (18137)Termination reason: Unknown 0.22/0.42 % (18137)Termination phase: Saturation 0.22/0.42 0.22/0.42 % (18137)Memory used [KB]: 5628 0.22/0.42 % (18137)Time elapsed: 0.021 s 0.22/0.42 % (18137)Instructions burned: 37 (million) 0.22/0.42 % (18137)------------------------------ 0.22/0.42 % (18137)------------------------------ 0.22/0.43 % (18142)Instruction limit reached! 0.22/0.43 % (18142)------------------------------ 0.22/0.43 % (18142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.43 % (18142)Termination reason: Unknown 0.22/0.43 % (18142)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (18142)Memory used [KB]: 5756 0.22/0.43 % (18142)Time elapsed: 0.011 s 0.22/0.43 % (18142)Instructions burned: 16 (million) 0.22/0.43 % (18142)------------------------------ 0.22/0.43 % (18142)------------------------------ 0.22/0.43 % (18145)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_18022 for (2399ds/7Mi) 0.22/0.43 % (18144)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_18022 for (2399ds/3Mi) 0.22/0.43 % (18145)Instruction limit reached! 0.22/0.43 % (18145)------------------------------ 0.22/0.43 % (18145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.43 % (18145)Termination reason: Unknown 0.22/0.43 % (18145)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (18145)Memory used [KB]: 5628 0.22/0.43 % (18145)Time elapsed: 0.004 s 0.22/0.43 % (18145)Instructions burned: 9 (million) 0.22/0.43 % (18145)------------------------------ 0.22/0.43 % (18145)------------------------------ 0.22/0.43 % (18144)Instruction limit reached! 0.22/0.43 % (18144)------------------------------ 0.22/0.43 % (18144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.43 % (18144)Termination reason: Unknown 0.22/0.43 % (18144)Termination phase: Property scanning 0.22/0.43 0.22/0.43 % (18144)Memory used [KB]: 1023 0.22/0.43 % (18144)Time elapsed: 0.004 s 0.22/0.43 % (18144)Instructions burned: 4 (million) 0.22/0.43 % (18144)------------------------------ 0.22/0.43 % (18144)------------------------------ 0.22/0.44 % (18146)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_18022 for (2399ds/3Mi) 0.22/0.44 % (18146)Instruction limit reached! 0.22/0.44 % (18146)------------------------------ 0.22/0.44 % (18146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.44 % (18146)Termination reason: Unknown 0.22/0.44 % (18146)Termination phase: Property scanning 0.22/0.44 0.22/0.44 % (18146)Memory used [KB]: 1023 0.22/0.44 % (18146)Time elapsed: 0.004 s 0.22/0.44 % (18146)Instructions burned: 5 (million) 0.22/0.44 % (18146)------------------------------ 0.22/0.44 % (18146)------------------------------ 0.22/0.44 % (18147)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_18022 for (2399ds/4Mi) 0.22/0.45 % (18147)Instruction limit reached! 0.22/0.45 % (18147)------------------------------ 0.22/0.45 % (18147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.45 % (18147)Termination reason: Unknown 0.22/0.45 % (18147)Termination phase: Property scanning 0.22/0.45 0.22/0.45 % (18147)Memory used [KB]: 1023 0.22/0.45 % (18147)Time elapsed: 0.004 s 0.22/0.45 % (18147)Instructions burned: 4 (million) 0.22/0.45 % (18147)------------------------------ 0.22/0.45 % (18147)------------------------------ 0.22/0.45 % (18148)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_18022 for (2399ds/18Mi) 0.22/0.45 % (18149)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_18022 for (2399ds/710Mi) 0.22/0.46 % (18150)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_18022 for (2399ds/6Mi) 0.22/0.46 % (18150)Instruction limit reached! 0.22/0.46 % (18150)------------------------------ 0.22/0.46 % (18150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.46 % (18150)Termination reason: Unknown 0.22/0.46 % (18150)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (18150)Memory used [KB]: 5628 0.22/0.46 % (18150)Time elapsed: 0.006 s 0.22/0.46 % (18150)Instructions burned: 7 (million) 0.22/0.46 % (18150)------------------------------ 0.22/0.46 % (18150)------------------------------ 0.22/0.46 % (18148)Instruction limit reached! 0.22/0.46 % (18148)------------------------------ 0.22/0.46 % (18148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.46 % (18148)Termination reason: Unknown 0.22/0.46 % (18148)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (18148)Memory used [KB]: 5628 0.22/0.46 % (18148)Time elapsed: 0.014 s 0.22/0.46 % (18148)Instructions burned: 19 (million) 0.22/0.46 % (18148)------------------------------ 0.22/0.46 % (18148)------------------------------ 0.22/0.46 % (18151)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_18022 for (2399ds/902Mi) 0.22/0.47 % (18129)First to succeed. 0.22/0.47 % (18129)Refutation found. Thanks to Tanya! 0.22/0.47 % SZS status Theorem for E---3.1_18022 0.22/0.47 % SZS output start Proof for E---3.1_18022 0.22/0.47 thf(func_def_0, type, eats: $i > $i > $o). 0.22/0.47 thf(func_def_1, type, grain: $i > $o). 0.22/0.47 thf(func_def_2, type, animal: $i > $o). 0.22/0.47 thf(func_def_3, type, snail: $i > $o). 0.22/0.47 thf(func_def_4, type, sf: $i > $i). 0.22/0.47 thf(func_def_5, type, plant: $i > $o). 0.22/0.47 thf(func_def_6, type, caterpillar: $i > $o). 0.22/0.47 thf(func_def_7, type, cf: $i > $i). 0.22/0.47 thf(func_def_8, type, bird: $i > $o). 0.22/0.47 thf(func_def_9, type, wolf: $i > $o). 0.22/0.47 thf(func_def_10, type, fox: $i > $o). 0.22/0.47 thf(func_def_11, type, msmaller: $i > $i > $o). 0.22/0.47 thf(f603,plain,( 0.22/0.47 $false), 0.22/0.47 inference(avatar_sat_refutation,[status(thm)],[f93,f144,f154,f238,f253,f256,f323,f376,f490,f571,f593,f602])). 0.22/0.47 thf(f602,plain,( 0.22/0.47 ~spl0_38), 0.22/0.47 inference(avatar_contradiction_clause,[status(thm)],[f601])). 0.22/0.47 thf(f601,plain,( 0.22/0.47 $false | ~spl0_38), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f600])). 0.22/0.47 thf(f600,plain,( 0.22/0.47 ($true != $true) | ~spl0_38), 0.22/0.47 inference(superposition,[status(thm)],[f570,f28])). 0.22/0.47 thf(f28,plain,( 0.22/0.47 ((fox @ a_fox) = $true)), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f7,plain,( 0.22/0.47 ! [X0 : $i] : (((snail @ X0) != $true) | ($true = (eats @ X0 @ (sf @ X0)))) & ((wolf @ a_wolf) = $true) & ((snail @ a_snail) = $true) & ! [X1 : $i,X2 : $i] : (($true != (bird @ X1)) | ($true != (snail @ X2)) | ($true != (eats @ X1 @ X2))) & ! [X3 : $i] : (($true = (animal @ X3)) | ($true != (snail @ X3))) & ((fox @ a_fox) = $true) & ((caterpillar @ a_caterpillar) = $true) & ! [X4 : $i,X5 : $i,X6 : $i,X7 : $i] : (($true != (eats @ X5 @ X7)) | ($true != (plant @ X7)) | ($true = (eats @ X6 @ X5)) | ($true != (plant @ X4)) | ((animal @ X6) != $true) | ($true != (msmaller @ X5 @ X6)) | ($true = (eats @ X6 @ X4)) | ((animal @ X5) != $true)) & ! [X8 : $i] : (($true != (bird @ X8)) | ($true = (animal @ X8))) & ! [X9 : $i] : (($true != (fox @ X9)) | ($true = (animal @ X9))) & ! [X10 : $i] : (($true != (wolf @ X10)) | ($true = (animal @ X10))) & ! [X11 : $i] : (($true != (caterpillar @ X11)) | ($true = (eats @ X11 @ (cf @ X11)))) & ! [X12 : $i,X13 : $i] : (($true != (caterpillar @ X13)) | ($true = (msmaller @ X13 @ X12)) | ($true != (bird @ X12))) & ! [X14 : $i,X15 : $i] : (($true != (bird @ X14)) | ($true = (msmaller @ X14 @ X15)) | ($true != (fox @ X15))) & ! [X16 : $i,X17 : $i] : (($true != (bird @ X17)) | ($true = (eats @ X17 @ X16)) | ($true != (caterpillar @ X16))) & ! [X18 : $i] : (($true != (snail @ X18)) | ($true = (plant @ (sf @ X18)))) & ! [X19 : $i] : (($true = (plant @ (cf @ X19))) | ($true != (caterpillar @ X19))) & ! [X20 : $i,X21 : $i] : (($true = (msmaller @ X21 @ X20)) | ($true != (fox @ X21)) | ($true != (wolf @ X20))) & ((grain @ a_grain) = $true) & ! [X22 : $i,X23 : $i] : (($true != (bird @ X22)) | ($true != (snail @ X23)) | ($true = (msmaller @ X23 @ X22))) & ! [X24 : $i,X25 : $i,X26 : $i] : (($true != (eats @ X24 @ X26)) | ($true != (grain @ X26)) | ($true != (eats @ X25 @ X24)) | ($true != (animal @ X24)) | ($true != (animal @ X25))) & ! [X27 : $i,X28 : $i] : (($true != (eats @ X27 @ X28)) | ($true != (fox @ X28)) | ($true != (wolf @ X27))) & ((bird @ a_bird) = $true) & ! [X29 : $i,X30 : $i] : (($true != (wolf @ X30)) | ($true != (grain @ X29)) | ($true != (eats @ X30 @ X29))) & ! [X31 : $i] : (($true = (animal @ X31)) | ($true != (caterpillar @ X31))) & ! [X32 : $i] : (((plant @ X32) = $true) | ($true != (grain @ X32)))), 0.22/0.47 inference(rectify,[status(thm)],[f6])). 0.22/0.47 thf(f6,plain,( 0.22/0.47 ! [X29 : $i] : (($true != (snail @ X29)) | ($true = (eats @ X29 @ (sf @ X29)))) & ((wolf @ a_wolf) = $true) & ((snail @ a_snail) = $true) & ! [X3 : $i,X2 : $i] : (((bird @ X3) != $true) | ($true != (snail @ X2)) | ($true != (eats @ X3 @ X2))) & ! [X6 : $i] : (((animal @ X6) = $true) | ($true != (snail @ X6))) & ((fox @ a_fox) = $true) & ((caterpillar @ a_caterpillar) = $true) & ! [X11 : $i,X10 : $i,X12 : $i,X13 : $i] : (($true != (eats @ X10 @ X13)) | ($true != (plant @ X13)) | ($true = (eats @ X12 @ X10)) | ($true != (plant @ X11)) | ($true != (animal @ X12)) | ($true != (msmaller @ X10 @ X12)) | ($true = (eats @ X12 @ X11)) | ($true != (animal @ X10))) & ! [X14 : $i] : (($true != (bird @ X14)) | ($true = (animal @ X14))) & ! [X16 : $i] : (($true != (fox @ X16)) | ($true = (animal @ X16))) & ! [X31 : $i] : (($true != (wolf @ X31)) | ($true = (animal @ X31))) & ! [X19 : $i] : (($true != (caterpillar @ X19)) | ($true = (eats @ X19 @ (cf @ X19)))) & ! [X20 : $i,X21 : $i] : (($true != (caterpillar @ X21)) | ($true = (msmaller @ X21 @ X20)) | ($true != (bird @ X20))) & ! [X5 : $i,X4 : $i] : (($true != (bird @ X5)) | ($true = (msmaller @ X5 @ X4)) | ((fox @ X4) != $true)) & ! [X1 : $i,X0 : $i] : (((bird @ X0) != $true) | ($true = (eats @ X0 @ X1)) | ($true != (caterpillar @ X1))) & ! [X9 : $i] : (($true != (snail @ X9)) | ($true = (plant @ (sf @ X9)))) & ! [X15 : $i] : (($true = (plant @ (cf @ X15))) | ($true != (caterpillar @ X15))) & ! [X18 : $i,X17 : $i] : (($true = (msmaller @ X17 @ X18)) | ($true != (fox @ X17)) | ($true != (wolf @ X18))) & ((grain @ a_grain) = $true) & ! [X27 : $i,X28 : $i] : (($true != (bird @ X27)) | ($true != (snail @ X28)) | ($true = (msmaller @ X28 @ X27))) & ! [X26 : $i,X24 : $i,X25 : $i] : (($true != (eats @ X26 @ X25)) | ($true != (grain @ X25)) | ($true != (eats @ X24 @ X26)) | ($true != (animal @ X26)) | ($true != (animal @ X24))) & ! [X8 : $i,X7 : $i] : (($true != (eats @ X8 @ X7)) | ($true != (fox @ X7)) | ($true != (wolf @ X8))) & ((bird @ a_bird) = $true) & ! [X23 : $i,X22 : $i] : (($true != (wolf @ X22)) | ($true != (grain @ X23)) | ($true != (eats @ X22 @ X23))) & ! [X32 : $i] : (($true = (animal @ X32)) | ($true != (caterpillar @ X32))) & ! [X30 : $i] : (($true = (plant @ X30)) | ($true != (grain @ X30)))), 0.22/0.47 inference(flattening,[status(thm)],[f5])). 0.22/0.47 thf(f5,plain,( 0.22/0.47 ~~(! [X0 : $i,X1 : $i] : (($true = (eats @ X0 @ X1)) | ~((bird @ X0) = $true) | ~($true = (caterpillar @ X1))) & ! [X2 : $i,X3 : $i] : (~($true = (eats @ X3 @ X2)) | ~((bird @ X3) = $true) | ~($true = (snail @ X2))) & ! [X4 : $i,X5 : $i] : (($true = (msmaller @ X5 @ X4)) | ~($true = (bird @ X5)) | ~((fox @ X4) = $true)) & ! [X6 : $i] : (~($true = (snail @ X6)) | ((animal @ X6) = $true)) & ! [X7 : $i,X8 : $i] : (~($true = (eats @ X8 @ X7)) | ~($true = (wolf @ X8)) | ~($true = (fox @ X7))) & ! [X9 : $i] : (($true = (plant @ (sf @ X9))) | ~($true = (snail @ X9))) & ! [X10 : $i,X11 : $i,X12 : $i,X13 : $i] : (~($true = (plant @ X11)) | ($true = (eats @ X12 @ X10)) | ~($true = (animal @ X12)) | ~($true = (animal @ X10)) | ~($true = (plant @ X13)) | ($true = (eats @ X12 @ X11)) | ~($true = (msmaller @ X10 @ X12)) | ~($true = (eats @ X10 @ X13))) & ! [X14 : $i] : (($true = (animal @ X14)) | ~($true = (bird @ X14))) & ((caterpillar @ a_caterpillar) = $true) & ! [X15 : $i] : (($true = (plant @ (cf @ X15))) | ~($true = (caterpillar @ X15))) & ! [X16 : $i] : (($true = (animal @ X16)) | ~($true = (fox @ X16))) & ! [X17 : $i,X18 : $i] : (~($true = (fox @ X17)) | ($true = (msmaller @ X17 @ X18)) | ~($true = (wolf @ X18))) & ! [X19 : $i] : (($true = (eats @ X19 @ (cf @ X19))) | ~($true = (caterpillar @ X19))) & ((bird @ a_bird) = $true) & ! [X20 : $i,X21 : $i] : (~($true = (bird @ X20)) | ($true = (msmaller @ X21 @ X20)) | ~($true = (caterpillar @ X21))) & ((wolf @ a_wolf) = $true) & ! [X22 : $i,X23 : $i] : (~($true = (wolf @ X22)) | ~($true = (grain @ X23)) | ~($true = (eats @ X22 @ X23))) & ((grain @ a_grain) = $true) & ! [X24 : $i,X25 : $i,X26 : $i] : (~($true = (eats @ X24 @ X26)) | ~($true = (eats @ X26 @ X25)) | ~($true = (grain @ X25)) | ~($true = (animal @ X24)) | ~($true = (animal @ X26))) & ((snail @ a_snail) = $true) & ! [X27 : $i,X28 : $i] : (~($true = (snail @ X28)) | ~($true = (bird @ X27)) | ($true = (msmaller @ X28 @ X27))) & ! [X29 : $i] : (~($true = (snail @ X29)) | ($true = (eats @ X29 @ (sf @ X29)))) & ! [X30 : $i] : (~($true = (grain @ X30)) | ($true = (plant @ X30))) & ! [X31 : $i] : (~($true = (wolf @ X31)) | ($true = (animal @ X31))) & ! [X32 : $i] : (~($true = (caterpillar @ X32)) | ($true = (animal @ X32))) & ((fox @ a_fox) = $true))), 0.22/0.47 inference(fool_elimination,[status(thm)],[f4])). 0.22/0.47 thf(f4,plain,( 0.22/0.47 ~~(! [X0 : $i,X1 : $i] : ((eats @ X0 @ X1) | ~(bird @ X0) | ~(caterpillar @ X1)) & ! [X2 : $i,X3 : $i] : (~(eats @ X3 @ X2) | ~(bird @ X3) | ~(snail @ X2)) & ! [X4 : $i,X5 : $i] : ((msmaller @ X5 @ X4) | ~(bird @ X5) | ~(fox @ X4)) & ! [X6 : $i] : (~(snail @ X6) | (animal @ X6)) & ! [X7 : $i,X8 : $i] : (~(eats @ X8 @ X7) | ~(wolf @ X8) | ~(fox @ X7)) & ! [X9 : $i] : ((plant @ (sf @ X9)) | ~(snail @ X9)) & ! [X10 : $i,X11 : $i,X12 : $i,X13 : $i] : (~(plant @ X11) | (eats @ X12 @ X10) | ~(animal @ X12) | ~(animal @ X10) | ~(plant @ X13) | (eats @ X12 @ X11) | ~(msmaller @ X10 @ X12) | ~(eats @ X10 @ X13)) & ! [X14 : $i] : ((animal @ X14) | ~(bird @ X14)) & (caterpillar @ a_caterpillar) & ! [X15 : $i] : ((plant @ (cf @ X15)) | ~(caterpillar @ X15)) & ! [X16 : $i] : ((animal @ X16) | ~(fox @ X16)) & ! [X17 : $i,X18 : $i] : (~(fox @ X17) | (msmaller @ X17 @ X18) | ~(wolf @ X18)) & ! [X19 : $i] : ((eats @ X19 @ (cf @ X19)) | ~(caterpillar @ X19)) & (bird @ a_bird) & ! [X20 : $i,X21 : $i] : (~(bird @ X20) | (msmaller @ X21 @ X20) | ~(caterpillar @ X21)) & (wolf @ a_wolf) & ! [X22 : $i,X23 : $i] : (~(wolf @ X22) | ~(grain @ X23) | ~(eats @ X22 @ X23)) & (grain @ a_grain) & ! [X24 : $i,X25 : $i,X26 : $i] : (~(eats @ X24 @ X26) | ~(eats @ X26 @ X25) | ~(grain @ X25) | ~(animal @ X24) | ~(animal @ X26)) & (snail @ a_snail) & ! [X27 : $i,X28 : $i] : (~(snail @ X28) | ~(bird @ X27) | (msmaller @ X28 @ X27)) & ! [X29 : $i] : (~(snail @ X29) | (eats @ X29 @ (sf @ X29))) & ! [X30 : $i] : (~(grain @ X30) | (plant @ X30)) & ! [X31 : $i] : (~(wolf @ X31) | (animal @ X31)) & ! [X32 : $i] : (~(caterpillar @ X32) | (animal @ X32)) & (fox @ a_fox))), 0.22/0.47 inference(rectify,[status(thm)],[f2])). 0.22/0.47 thf(f2,negated_conjecture,( 0.22/0.47 ~~(! [X3 : $i,X8 : $i] : ((eats @ X3 @ X8) | ~(bird @ X3) | ~(caterpillar @ X8)) & ! [X4 : $i,X3 : $i] : (~(eats @ X3 @ X4) | ~(bird @ X3) | ~(snail @ X4)) & ! [X1 : $i,X3 : $i] : ((msmaller @ X3 @ X1) | ~(bird @ X3) | ~(fox @ X1)) & ! [X0 : $i] : (~(snail @ X0) | (animal @ X0)) & ! [X1 : $i,X2 : $i] : (~(eats @ X2 @ X1) | ~(wolf @ X2) | ~(fox @ X1)) & ! [X4 : $i] : ((plant @ (sf @ X4)) | ~(snail @ X4)) & ! [X4 : $i,X9 : $i,X5 : $i,X10 : $i] : (~(plant @ X9) | (eats @ X5 @ X4) | ~(animal @ X5) | ~(animal @ X4) | ~(plant @ X10) | (eats @ X5 @ X9) | ~(msmaller @ X4 @ X5) | ~(eats @ X4 @ X10)) & ! [X0 : $i] : ((animal @ X0) | ~(bird @ X0)) & (caterpillar @ a_caterpillar) & ! [X8 : $i] : ((plant @ (cf @ X8)) | ~(caterpillar @ X8)) & ! [X0 : $i] : ((animal @ X0) | ~(fox @ X0)) & ! [X1 : $i,X2 : $i] : (~(fox @ X1) | (msmaller @ X1 @ X2) | ~(wolf @ X2)) & ! [X8 : $i] : ((eats @ X8 @ (cf @ X8)) | ~(caterpillar @ X8)) & (bird @ a_bird) & ! [X3 : $i,X8 : $i] : (~(bird @ X3) | (msmaller @ X8 @ X3) | ~(caterpillar @ X8)) & (wolf @ a_wolf) & ! [X2 : $i,X7 : $i] : (~(wolf @ X2) | ~(grain @ X7) | ~(eats @ X2 @ X7)) & (grain @ a_grain) & ! [X5 : $i,X7 : $i,X6 : $i] : (~(eats @ X5 @ X6) | ~(eats @ X6 @ X7) | ~(grain @ X7) | ~(animal @ X5) | ~(animal @ X6)) & (snail @ a_snail) & ! [X3 : $i,X4 : $i] : (~(snail @ X4) | ~(bird @ X3) | (msmaller @ X4 @ X3)) & ! [X4 : $i] : (~(snail @ X4) | (eats @ X4 @ (sf @ X4))) & ! [X0 : $i] : (~(grain @ X0) | (plant @ X0)) & ! [X0 : $i] : (~(wolf @ X0) | (animal @ X0)) & ! [X0 : $i] : (~(caterpillar @ X0) | (animal @ X0)) & (fox @ a_fox))), 0.22/0.47 inference(negated_conjecture,[status(cth)],[f1])). 0.22/0.47 thf(f1,conjecture,( 0.22/0.47 ~(! [X3 : $i,X8 : $i] : ((eats @ X3 @ X8) | ~(bird @ X3) | ~(caterpillar @ X8)) & ! [X4 : $i,X3 : $i] : (~(eats @ X3 @ X4) | ~(bird @ X3) | ~(snail @ X4)) & ! [X1 : $i,X3 : $i] : ((msmaller @ X3 @ X1) | ~(bird @ X3) | ~(fox @ X1)) & ! [X0 : $i] : (~(snail @ X0) | (animal @ X0)) & ! [X1 : $i,X2 : $i] : (~(eats @ X2 @ X1) | ~(wolf @ X2) | ~(fox @ X1)) & ! [X4 : $i] : ((plant @ (sf @ X4)) | ~(snail @ X4)) & ! [X4 : $i,X9 : $i,X5 : $i,X10 : $i] : (~(plant @ X9) | (eats @ X5 @ X4) | ~(animal @ X5) | ~(animal @ X4) | ~(plant @ X10) | (eats @ X5 @ X9) | ~(msmaller @ X4 @ X5) | ~(eats @ X4 @ X10)) & ! [X0 : $i] : ((animal @ X0) | ~(bird @ X0)) & (caterpillar @ a_caterpillar) & ! [X8 : $i] : ((plant @ (cf @ X8)) | ~(caterpillar @ X8)) & ! [X0 : $i] : ((animal @ X0) | ~(fox @ X0)) & ! [X1 : $i,X2 : $i] : (~(fox @ X1) | (msmaller @ X1 @ X2) | ~(wolf @ X2)) & ! [X8 : $i] : ((eats @ X8 @ (cf @ X8)) | ~(caterpillar @ X8)) & (bird @ a_bird) & ! [X3 : $i,X8 : $i] : (~(bird @ X3) | (msmaller @ X8 @ X3) | ~(caterpillar @ X8)) & (wolf @ a_wolf) & ! [X2 : $i,X7 : $i] : (~(wolf @ X2) | ~(grain @ X7) | ~(eats @ X2 @ X7)) & (grain @ a_grain) & ! [X5 : $i,X7 : $i,X6 : $i] : (~(eats @ X5 @ X6) | ~(eats @ X6 @ X7) | ~(grain @ X7) | ~(animal @ X5) | ~(animal @ X6)) & (snail @ a_snail) & ! [X3 : $i,X4 : $i] : (~(snail @ X4) | ~(bird @ X3) | (msmaller @ X4 @ X3)) & ! [X4 : $i] : (~(snail @ X4) | (eats @ X4 @ (sf @ X4))) & ! [X0 : $i] : (~(grain @ X0) | (plant @ X0)) & ! [X0 : $i] : (~(wolf @ X0) | (animal @ X0)) & ! [X0 : $i] : (~(caterpillar @ X0) | (animal @ X0)) & (fox @ a_fox))), 0.22/0.47 file('/export/starexec/sandbox/tmp/tmp.lzvtpzoz5l/E---3.1_18022.p',cPUZ031_1)). 0.22/0.47 thf(f570,plain,( 0.22/0.47 ( ! [X1 : $i] : (((fox @ X1) != $true)) ) | ~spl0_38), 0.22/0.47 inference(avatar_component_clause,[status(thm)],[f569])). 0.22/0.47 thf(f569,definition,( 0.22/0.47 spl0_38 <=> ! [X1 : $i] : ((fox @ X1) != $true)), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl0_38])],[avatar_definition])). 0.22/0.47 thf(f593,plain,( 0.22/0.47 spl0_5 | spl0_15 | ~spl0_8 | ~spl0_37), 0.22/0.47 inference(avatar_split_clause,[status(thm)],[f592,f566,f142,f200,f72])). 0.22/0.47 thf(f72,definition,( 0.22/0.47 spl0_5 <=> ! [X0 : $i] : ((bird @ X0) != $true)), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])). 0.22/0.47 thf(f200,definition,( 0.22/0.47 spl0_15 <=> ! [X1 : $i] : ($true != (grain @ X1))), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl0_15])],[avatar_definition])). 0.22/0.47 thf(f142,definition,( 0.22/0.47 spl0_8 <=> ! [X0 : $i,X3 : $i] : (((bird @ X0) != $true) | ($true != (plant @ X3)) | ($true = (eats @ X0 @ X3)))), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])). 0.22/0.47 thf(f566,definition,( 0.22/0.47 spl0_37 <=> ! [X2 : $i,X0 : $i] : (((bird @ X0) != $true) | ($true != (eats @ X0 @ X2)) | ($true != (grain @ X2)))), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl0_37])],[avatar_definition])). 0.22/0.47 thf(f592,plain,( 0.22/0.47 ( ! [X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ($true != (grain @ X1))) ) | (~spl0_8 | ~spl0_37)), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f582,f8])). 0.22/0.47 thf(f8,plain,( 0.22/0.47 ( ! [X32 : $i] : (((plant @ X32) = $true) | ($true != (grain @ X32))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f582,plain,( 0.22/0.47 ( ! [X0 : $i,X1 : $i] : (($true != (grain @ X1)) | ($true != (plant @ X1)) | ((bird @ X0) != $true)) ) | (~spl0_8 | ~spl0_37)), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f581])). 0.22/0.47 thf(f581,plain,( 0.22/0.47 ( ! [X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ($true != (grain @ X1)) | ($true != $true) | ($true != (plant @ X1))) ) | (~spl0_8 | ~spl0_37)), 0.22/0.47 inference(duplicate_literal_removal,[status(thm)],[f577])). 0.22/0.47 thf(f577,plain,( 0.22/0.47 ( ! [X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ((bird @ X0) != $true) | ($true != (grain @ X1)) | ($true != (plant @ X1)) | ($true != $true)) ) | (~spl0_8 | ~spl0_37)), 0.22/0.47 inference(superposition,[status(thm)],[f567,f143])). 0.22/0.47 thf(f143,plain,( 0.22/0.47 ( ! [X3 : $i,X0 : $i] : (($true = (eats @ X0 @ X3)) | ((bird @ X0) != $true) | ($true != (plant @ X3))) ) | ~spl0_8), 0.22/0.47 inference(avatar_component_clause,[status(thm)],[f142])). 0.22/0.47 thf(f567,plain,( 0.22/0.47 ( ! [X2 : $i,X0 : $i] : (($true != (eats @ X0 @ X2)) | ($true != (grain @ X2)) | ((bird @ X0) != $true)) ) | ~spl0_37), 0.22/0.47 inference(avatar_component_clause,[status(thm)],[f566])). 0.22/0.47 thf(f571,plain,( 0.22/0.47 spl0_37 | spl0_38 | spl0_13 | ~spl0_8 | ~spl0_29), 0.22/0.47 inference(avatar_split_clause,[status(thm)],[f564,f488,f142,f175,f569,f566])). 0.22/0.47 thf(f175,definition,( 0.22/0.47 spl0_13 <=> ! [X3 : $i] : ($true != (plant @ X3))), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])). 0.22/0.47 thf(f488,definition,( 0.22/0.47 spl0_29 <=> ! [X4 : $i,X0 : $i,X3 : $i,X2 : $i] : (($true != (msmaller @ X2 @ X0)) | ($true != (grain @ X3)) | ($true != (plant @ X4)) | ($true != (eats @ X2 @ X3)) | ((fox @ X0) != $true) | ($true != (animal @ X2)) | ($true != (eats @ X2 @ X4)))), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition])). 0.22/0.47 thf(f564,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((fox @ X1) != $true) | ((bird @ X0) != $true) | ($true != (grain @ X2)) | ($true != (plant @ X3)) | ($true != (eats @ X0 @ X2))) ) | (~spl0_8 | ~spl0_29)), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f563,f25])). 0.22/0.47 thf(f25,plain,( 0.22/0.47 ( ! [X8 : $i] : (($true = (animal @ X8)) | ($true != (bird @ X8))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f563,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((fox @ X1) != $true) | ($true != (grain @ X2)) | ($true != (eats @ X0 @ X2)) | ($true != (plant @ X3)) | ((bird @ X0) != $true) | ((animal @ X0) != $true)) ) | (~spl0_8 | ~spl0_29)), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f560,f143])). 0.22/0.47 thf(f560,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((fox @ X1) != $true) | ($true != (plant @ X3)) | ($true != (grain @ X2)) | ($true != (eats @ X0 @ X3)) | ((bird @ X0) != $true) | ($true != (eats @ X0 @ X2)) | ((animal @ X0) != $true)) ) | ~spl0_29), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f559])). 0.22/0.47 thf(f559,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (plant @ X3)) | ($true != (eats @ X0 @ X3)) | ((animal @ X0) != $true) | ($true != (eats @ X0 @ X2)) | ($true != $true) | ((fox @ X1) != $true) | ($true != (grain @ X2)) | ((bird @ X0) != $true)) ) | ~spl0_29), 0.22/0.47 inference(duplicate_literal_removal,[status(thm)],[f555])). 0.22/0.47 thf(f555,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (eats @ X0 @ X2)) | ($true != $true) | ((bird @ X0) != $true) | ($true != (grain @ X2)) | ($true != (eats @ X0 @ X3)) | ((animal @ X0) != $true) | ($true != (plant @ X3)) | ((fox @ X1) != $true) | ((fox @ X1) != $true)) ) | ~spl0_29), 0.22/0.47 inference(superposition,[status(thm)],[f489,f20])). 0.22/0.47 thf(f20,plain,( 0.22/0.47 ( ! [X14 : $i,X15 : $i] : (($true = (msmaller @ X14 @ X15)) | ($true != (fox @ X15)) | ($true != (bird @ X14))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f489,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X4 : $i] : (($true != (msmaller @ X2 @ X0)) | ($true != (animal @ X2)) | ($true != (eats @ X2 @ X3)) | ($true != (grain @ X3)) | ($true != (plant @ X4)) | ((fox @ X0) != $true) | ($true != (eats @ X2 @ X4))) ) | ~spl0_29), 0.22/0.47 inference(avatar_component_clause,[status(thm)],[f488])). 0.22/0.47 thf(f490,plain,( 0.22/0.47 spl0_13 | spl0_29 | ~spl0_10), 0.22/0.47 inference(avatar_split_clause,[status(thm)],[f486,f152,f488,f175])). 0.22/0.47 thf(f152,definition,( 0.22/0.47 spl0_10 <=> ! [X2 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ((fox @ X1) != $true) | ($true != (plant @ X2)))), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])). 0.22/0.47 thf(f486,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (plant @ X1)) | ($true != (msmaller @ X2 @ X0)) | ($true != (eats @ X2 @ X4)) | ($true != (animal @ X2)) | ((fox @ X0) != $true) | ($true != (eats @ X2 @ X3)) | ($true != (plant @ X4)) | ($true != (grain @ X3))) ) | ~spl0_10), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f485,f24])). 0.22/0.47 thf(f24,plain,( 0.22/0.47 ( ! [X9 : $i] : (($true = (animal @ X9)) | ($true != (fox @ X9))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f485,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (eats @ X2 @ X4)) | ($true != (animal @ X2)) | ($true != (plant @ X1)) | ((animal @ X0) != $true) | ($true != (grain @ X3)) | ($true != (plant @ X4)) | ($true != (eats @ X2 @ X3)) | ($true != (msmaller @ X2 @ X0)) | ((fox @ X0) != $true)) ) | ~spl0_10), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f484])). 0.22/0.47 thf(f484,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((animal @ X0) != $true) | ($true != (plant @ X4)) | ($true != (eats @ X2 @ X3)) | ($true != (msmaller @ X2 @ X0)) | ($true != (plant @ X1)) | ($true != (grain @ X3)) | ((fox @ X0) != $true) | ($true != (eats @ X2 @ X4)) | ($true != $true) | ($true != (animal @ X2))) ) | ~spl0_10), 0.22/0.47 inference(duplicate_literal_removal,[status(thm)],[f468])). 0.22/0.47 thf(f468,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (msmaller @ X2 @ X0)) | ($true != (plant @ X1)) | ((fox @ X0) != $true) | ($true != (animal @ X2)) | ($true != (eats @ X2 @ X4)) | ($true != $true) | ($true != (plant @ X4)) | ($true != (grain @ X3)) | ((animal @ X0) != $true) | ($true != (eats @ X2 @ X3)) | ($true != (plant @ X1))) ) | ~spl0_10), 0.22/0.47 inference(superposition,[status(thm)],[f153,f132])). 0.22/0.47 thf(f132,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (eats @ X0 @ X4)) | ($true != (plant @ X4)) | ($true != (animal @ X1)) | ((animal @ X0) != $true) | ($true != (eats @ X1 @ X2)) | ($true != (msmaller @ X1 @ X0)) | ($true != (plant @ X3)) | ($true != (eats @ X1 @ X3)) | ($true != (grain @ X2))) )), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f131])). 0.22/0.47 thf(f131,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (plant @ X4)) | ($true != (grain @ X2)) | ($true != (msmaller @ X1 @ X0)) | ($true = (eats @ X0 @ X4)) | ($true != $true) | ($true != (eats @ X1 @ X2)) | ($true != (plant @ X3)) | ($true != (animal @ X1)) | ($true != (eats @ X1 @ X3)) | ((animal @ X0) != $true)) )), 0.22/0.47 inference(duplicate_literal_removal,[status(thm)],[f117])). 0.22/0.47 thf(f117,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (grain @ X2)) | ($true != (plant @ X3)) | ((animal @ X0) != $true) | ($true != (animal @ X1)) | ((animal @ X0) != $true) | ($true != (eats @ X1 @ X3)) | ($true != $true) | ($true != (msmaller @ X1 @ X0)) | ($true != (eats @ X1 @ X2)) | ($true != (plant @ X4)) | ($true = (eats @ X0 @ X4)) | ($true != (animal @ X1))) )), 0.22/0.47 inference(superposition,[status(thm)],[f13,f26])). 0.22/0.47 thf(f26,plain,( 0.22/0.47 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true = (eats @ X6 @ X5)) | ((animal @ X5) != $true) | ($true != (eats @ X5 @ X7)) | ($true != (plant @ X7)) | ((animal @ X6) != $true) | ($true != (plant @ X4)) | ($true = (eats @ X6 @ X4)) | ($true != (msmaller @ X5 @ X6))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f13,plain,( 0.22/0.47 ( ! [X26 : $i,X24 : $i,X25 : $i] : (($true != (eats @ X25 @ X24)) | ($true != (grain @ X26)) | ($true != (animal @ X24)) | ($true != (animal @ X25)) | ($true != (eats @ X24 @ X26))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f153,plain,( 0.22/0.47 ( ! [X2 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ((fox @ X1) != $true) | ($true != (plant @ X2))) ) | ~spl0_10), 0.22/0.47 inference(avatar_component_clause,[status(thm)],[f152])). 0.22/0.47 thf(f376,plain,( 0.22/0.47 ~spl0_24), 0.22/0.47 inference(avatar_contradiction_clause,[status(thm)],[f375])). 0.22/0.47 thf(f375,plain,( 0.22/0.47 $false | ~spl0_24), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f374])). 0.22/0.47 thf(f374,plain,( 0.22/0.47 ($true != $true) | ~spl0_24), 0.22/0.47 inference(superposition,[status(thm)],[f322,f32])). 0.22/0.47 thf(f32,plain,( 0.22/0.47 ((wolf @ a_wolf) = $true)), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f322,plain,( 0.22/0.47 ( ! [X0 : $i] : (((wolf @ X0) != $true)) ) | ~spl0_24), 0.22/0.47 inference(avatar_component_clause,[status(thm)],[f321])). 0.22/0.47 thf(f321,definition,( 0.22/0.47 spl0_24 <=> ! [X0 : $i] : ((wolf @ X0) != $true)), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl0_24])],[avatar_definition])). 0.22/0.47 thf(f323,plain,( 0.22/0.47 spl0_24 | spl0_15 | ~spl0_9), 0.22/0.47 inference(avatar_split_clause,[status(thm)],[f319,f149,f200,f321])). 0.22/0.47 thf(f149,definition,( 0.22/0.47 spl0_9 <=> ! [X0 : $i,X3 : $i] : (($true != (plant @ X3)) | ((wolf @ X0) != $true) | ($true = (eats @ X0 @ X3)))), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])). 0.22/0.47 thf(f319,plain,( 0.22/0.47 ( ! [X0 : $i,X1 : $i] : (($true != (grain @ X1)) | ((wolf @ X0) != $true)) ) | ~spl0_9), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f302,f8])). 0.22/0.47 thf(f302,plain,( 0.22/0.47 ( ! [X0 : $i,X1 : $i] : (((wolf @ X0) != $true) | ($true != (grain @ X1)) | ($true != (plant @ X1))) ) | ~spl0_9), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f301])). 0.22/0.47 thf(f301,plain,( 0.22/0.47 ( ! [X0 : $i,X1 : $i] : (($true != (grain @ X1)) | ($true != $true) | ((wolf @ X0) != $true) | ($true != (plant @ X1))) ) | ~spl0_9), 0.22/0.47 inference(duplicate_literal_removal,[status(thm)],[f292])). 0.22/0.47 thf(f292,plain,( 0.22/0.47 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != (grain @ X1)) | ((wolf @ X0) != $true) | ((wolf @ X0) != $true) | ($true != (plant @ X1))) ) | ~spl0_9), 0.22/0.47 inference(superposition,[status(thm)],[f10,f150])). 0.22/0.47 thf(f150,plain,( 0.22/0.47 ( ! [X3 : $i,X0 : $i] : (($true = (eats @ X0 @ X3)) | ($true != (plant @ X3)) | ((wolf @ X0) != $true)) ) | ~spl0_9), 0.22/0.47 inference(avatar_component_clause,[status(thm)],[f149])). 0.22/0.47 thf(f10,plain,( 0.22/0.47 ( ! [X29 : $i,X30 : $i] : (($true != (eats @ X30 @ X29)) | ($true != (wolf @ X30)) | ($true != (grain @ X29))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f256,plain,( 0.22/0.47 ~spl0_15), 0.22/0.47 inference(avatar_contradiction_clause,[status(thm)],[f255])). 0.22/0.47 thf(f255,plain,( 0.22/0.47 $false | ~spl0_15), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f254])). 0.22/0.47 thf(f254,plain,( 0.22/0.47 ($true != $true) | ~spl0_15), 0.22/0.47 inference(superposition,[status(thm)],[f201,f15])). 0.22/0.47 thf(f15,plain,( 0.22/0.47 ((grain @ a_grain) = $true)), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f201,plain,( 0.22/0.47 ( ! [X1 : $i] : (($true != (grain @ X1))) ) | ~spl0_15), 0.22/0.47 inference(avatar_component_clause,[status(thm)],[f200])). 0.22/0.47 thf(f253,plain,( 0.22/0.47 ~spl0_7), 0.22/0.47 inference(avatar_contradiction_clause,[status(thm)],[f252])). 0.22/0.47 thf(f252,plain,( 0.22/0.47 $false | ~spl0_7), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f251])). 0.22/0.47 thf(f251,plain,( 0.22/0.47 ($true != $true) | ~spl0_7), 0.22/0.47 inference(superposition,[status(thm)],[f250,f31])). 0.22/0.47 thf(f31,plain,( 0.22/0.47 ((snail @ a_snail) = $true)), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f250,plain,( 0.22/0.47 ( ! [X0 : $i] : (((snail @ X0) != $true)) ) | ~spl0_7), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f247,f18])). 0.22/0.47 thf(f18,plain,( 0.22/0.47 ( ! [X18 : $i] : (($true = (plant @ (sf @ X18))) | ($true != (snail @ X18))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f247,plain,( 0.22/0.47 ( ! [X0 : $i] : (((snail @ X0) != $true) | ($true != (plant @ (sf @ X0)))) ) | ~spl0_7), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f246])). 0.22/0.47 thf(f246,plain,( 0.22/0.47 ( ! [X0 : $i] : (($true != $true) | ((snail @ X0) != $true) | ($true != (plant @ (sf @ X0)))) ) | ~spl0_7), 0.22/0.47 inference(duplicate_literal_removal,[status(thm)],[f242])). 0.22/0.47 thf(f242,plain,( 0.22/0.47 ( ! [X0 : $i] : (($true != (plant @ (sf @ X0))) | ((snail @ X0) != $true) | ($true != $true) | ((snail @ X0) != $true)) ) | ~spl0_7), 0.22/0.47 inference(superposition,[status(thm)],[f140,f33])). 0.22/0.47 thf(f33,plain,( 0.22/0.47 ( ! [X0 : $i] : (($true = (eats @ X0 @ (sf @ X0))) | ((snail @ X0) != $true)) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f140,plain,( 0.22/0.47 ( ! [X2 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ($true != (snail @ X1)) | ($true != (plant @ X2))) ) | ~spl0_7), 0.22/0.47 inference(avatar_component_clause,[status(thm)],[f139])). 0.22/0.47 thf(f139,definition,( 0.22/0.47 spl0_7 <=> ! [X2 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ($true != (plant @ X2)) | ($true != (snail @ X1)))), 0.22/0.47 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])). 0.22/0.47 thf(f238,plain,( 0.22/0.47 spl0_15 | ~spl0_13), 0.22/0.47 inference(avatar_split_clause,[status(thm)],[f235,f175,f200])). 0.22/0.47 thf(f235,plain,( 0.22/0.47 ( ! [X0 : $i] : (((grain @ X0) != $true)) ) | ~spl0_13), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f232])). 0.22/0.47 thf(f232,plain,( 0.22/0.47 ( ! [X0 : $i] : (($true != $true) | ((grain @ X0) != $true)) ) | ~spl0_13), 0.22/0.47 inference(superposition,[status(thm)],[f176,f8])). 0.22/0.47 thf(f176,plain,( 0.22/0.47 ( ! [X3 : $i] : (($true != (plant @ X3))) ) | ~spl0_13), 0.22/0.47 inference(avatar_component_clause,[status(thm)],[f175])). 0.22/0.47 thf(f154,plain,( 0.22/0.47 spl0_9 | spl0_10), 0.22/0.47 inference(avatar_split_clause,[status(thm)],[f147,f152,f149])). 0.22/0.47 thf(f147,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (plant @ X3)) | ((wolf @ X0) != $true) | ($true != (eats @ X1 @ X2)) | ($true = (eats @ X0 @ X3)) | ($true != (plant @ X2)) | ((fox @ X1) != $true)) )), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f146,f16])). 0.22/0.47 thf(f16,plain,( 0.22/0.47 ( ! [X21 : $i,X20 : $i] : (($true = (msmaller @ X21 @ X20)) | ($true != (fox @ X21)) | ($true != (wolf @ X20))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f146,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (plant @ X2)) | ($true != (plant @ X3)) | ($true != (eats @ X1 @ X2)) | ((fox @ X1) != $true) | ((wolf @ X0) != $true) | ($true = (eats @ X0 @ X3)) | ($true != (msmaller @ X1 @ X0))) )), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f145,f23])). 0.22/0.47 thf(f23,plain,( 0.22/0.47 ( ! [X10 : $i] : (($true = (animal @ X10)) | ($true != (wolf @ X10))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f145,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((wolf @ X0) != $true) | ($true != (eats @ X1 @ X2)) | ($true != (msmaller @ X1 @ X0)) | ($true != (plant @ X3)) | ((fox @ X1) != $true) | ($true = (eats @ X0 @ X3)) | ($true != (plant @ X2)) | ((animal @ X0) != $true)) )), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f128,f24])). 0.22/0.47 thf(f128,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (animal @ X1)) | ($true != (plant @ X3)) | ((wolf @ X0) != $true) | ($true != (plant @ X2)) | ((animal @ X0) != $true) | ($true != (msmaller @ X1 @ X0)) | ((fox @ X1) != $true) | ($true != (eats @ X1 @ X2)) | ($true = (eats @ X0 @ X3))) )), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f116])). 0.22/0.47 thf(f116,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((wolf @ X0) != $true) | ($true = (eats @ X0 @ X3)) | ($true != (plant @ X2)) | ($true != (animal @ X1)) | ($true != (msmaller @ X1 @ X0)) | ($true != (plant @ X3)) | ($true != $true) | ((animal @ X0) != $true) | ($true != (eats @ X1 @ X2)) | ((fox @ X1) != $true)) )), 0.22/0.47 inference(superposition,[status(thm)],[f12,f26])). 0.22/0.47 thf(f12,plain,( 0.22/0.47 ( ! [X28 : $i,X27 : $i] : (($true != (eats @ X27 @ X28)) | ($true != (wolf @ X27)) | ($true != (fox @ X28))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f144,plain,( 0.22/0.47 spl0_7 | spl0_8), 0.22/0.47 inference(avatar_split_clause,[status(thm)],[f137,f142,f139])). 0.22/0.47 thf(f137,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ((bird @ X0) != $true) | ($true = (eats @ X0 @ X3)) | ($true != (snail @ X1)) | ($true != (plant @ X3)) | ($true != (plant @ X2))) )), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f136,f25])). 0.22/0.47 thf(f136,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (plant @ X2)) | ($true != (plant @ X3)) | ($true != (snail @ X1)) | ($true = (eats @ X0 @ X3)) | ((bird @ X0) != $true) | ($true != (eats @ X1 @ X2)) | ((animal @ X0) != $true)) )), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f135,f14])). 0.22/0.47 thf(f14,plain,( 0.22/0.47 ( ! [X22 : $i,X23 : $i] : (($true = (msmaller @ X23 @ X22)) | ($true != (bird @ X22)) | ($true != (snail @ X23))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f135,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (plant @ X3)) | ($true != (eats @ X1 @ X2)) | ($true != (snail @ X1)) | ($true = (eats @ X0 @ X3)) | ($true != (msmaller @ X1 @ X0)) | ($true != (plant @ X2)) | ((bird @ X0) != $true) | ((animal @ X0) != $true)) )), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f129,f29])). 0.22/0.47 thf(f29,plain,( 0.22/0.47 ( ! [X3 : $i] : (($true = (animal @ X3)) | ($true != (snail @ X3))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f129,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (plant @ X3)) | ($true != (animal @ X1)) | ((bird @ X0) != $true) | ($true != (eats @ X1 @ X2)) | ($true != (snail @ X1)) | ($true != (plant @ X2)) | ($true = (eats @ X0 @ X3)) | ($true != (msmaller @ X1 @ X0)) | ((animal @ X0) != $true)) )), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f118])). 0.22/0.47 thf(f118,plain,( 0.22/0.47 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (snail @ X1)) | ($true != (msmaller @ X1 @ X0)) | ((animal @ X0) != $true) | ($true != (eats @ X1 @ X2)) | ($true != (plant @ X2)) | ($true != (plant @ X3)) | ($true = (eats @ X0 @ X3)) | ($true != $true) | ((bird @ X0) != $true) | ($true != (animal @ X1))) )), 0.22/0.47 inference(superposition,[status(thm)],[f30,f26])). 0.22/0.47 thf(f30,plain,( 0.22/0.47 ( ! [X2 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ($true != (snail @ X2)) | ($true != (bird @ X1))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f93,plain,( 0.22/0.47 ~spl0_5), 0.22/0.47 inference(avatar_contradiction_clause,[status(thm)],[f92])). 0.22/0.47 thf(f92,plain,( 0.22/0.47 $false | ~spl0_5), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f91])). 0.22/0.47 thf(f91,plain,( 0.22/0.47 ($true != $true) | ~spl0_5), 0.22/0.47 inference(superposition,[status(thm)],[f73,f11])). 0.22/0.47 thf(f11,plain,( 0.22/0.47 ((bird @ a_bird) = $true)), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f7])). 0.22/0.47 thf(f73,plain,( 0.22/0.47 ( ! [X0 : $i] : (((bird @ X0) != $true)) ) | ~spl0_5), 0.22/0.47 inference(avatar_component_clause,[status(thm)],[f72])). 0.22/0.47 % SZS output end Proof for E---3.1_18022 0.22/0.47 % (18129)------------------------------ 0.22/0.47 % (18129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.47 % (18129)Termination reason: Refutation 0.22/0.47 0.22/0.47 % (18129)Memory used [KB]: 6140 0.22/0.47 % (18129)Time elapsed: 0.089 s 0.22/0.47 % (18129)Instructions burned: 148 (million) 0.22/0.47 % (18129)------------------------------ 0.22/0.47 % (18129)------------------------------ 0.22/0.47 % (18128)Success in time 0.098 s 0.22/0.47 EOF