0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : run_vampire %s %d THM 0.06/0.36 % Computer : n002.cluster.edu 0.06/0.36 % Model : x86_64 x86_64 0.06/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.06/0.36 % Memory : 8046.5625MB 0.06/0.36 % OS : Linux 6.8.0-71-generic 0.06/0.36 % CPULimit : 1440 0.06/0.36 % WCLimit : 180 0.06/0.36 % DateTime : Mon Jul 27 09:02:59 UTC 2026 0.06/0.36 % CPUTime : 0.12/0.39 This is a THF_ problem 0.12/0.39 Running higher-order theorem proving 0.12/0.41 Running /export/starexec/sandbox2/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.kpUQHIPim6/E---3.1_3140569.p -m 16384 -t 180 0.12/0.44 % (3140688)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_3140569 for (1799ds/2Mi) 0.12/0.44 % (3140688)Instruction limit reached! 0.12/0.44 % (3140688)------------------------------ 0.12/0.44 % (3140688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.12/0.44 % (3140688)Termination reason: Unknown 0.12/0.44 % (3140688)Termination phase: shuffling 0.12/0.44 0.12/0.44 % (3140688)Memory used [KB]: 1023 0.12/0.44 % (3140688)Time elapsed: 0.002 s 0.12/0.44 % (3140688)Instructions burned: 2 (million) 0.12/0.44 % (3140688)------------------------------ 0.12/0.44 % (3140688)------------------------------ 0.12/0.45 % (3140684)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_3140569 for (1799ds/183Mi) 0.12/0.45 % (3140685)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_3140569 for (1799ds/4Mi) 0.12/0.45 % (3140686)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_3140569 for (1799ds/27Mi) 0.12/0.45 % (3140687)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_3140569 for (1799ds/2Mi) 0.12/0.45 % (3140689)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_3140569 for (1799ds/275Mi) 0.12/0.45 % (3140687)Instruction limit reached! 0.12/0.45 % (3140687)------------------------------ 0.12/0.45 % (3140687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.12/0.45 % (3140687)Termination reason: Unknown 0.12/0.45 % (3140687)Termination phase: shuffling 0.12/0.45 0.12/0.45 % (3140687)Memory used [KB]: 1023 0.12/0.45 % (3140687)Time elapsed: 0.003 s 0.12/0.45 % (3140687)Instructions burned: 2 (million) 0.12/0.45 % (3140687)------------------------------ 0.12/0.45 % (3140687)------------------------------ 0.12/0.45 % (3140690)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_3140569 for (1799ds/18Mi) 0.12/0.45 % (3140691)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_3140569 for (1799ds/3Mi) 0.12/0.45 % (3140685)Instruction limit reached! 0.12/0.45 % (3140685)------------------------------ 0.12/0.45 % (3140685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.12/0.45 % (3140685)Termination reason: Unknown 0.12/0.45 % (3140685)Termination phase: Saturation 0.12/0.45 0.12/0.45 % (3140685)Memory used [KB]: 5500 0.12/0.45 % (3140685)Time elapsed: 0.005 s 0.12/0.45 % (3140685)Instructions burned: 5 (million) 0.12/0.45 % (3140685)------------------------------ 0.12/0.45 % (3140685)------------------------------ 0.12/0.45 % (3140691)Instruction limit reached! 0.12/0.45 % (3140691)------------------------------ 0.12/0.45 % (3140691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.12/0.45 % (3140691)Termination reason: Unknown 0.12/0.45 % (3140691)Termination phase: Property scanning 0.12/0.45 0.12/0.45 % (3140691)Memory used [KB]: 1023 0.12/0.45 % (3140691)Time elapsed: 0.002 s 0.12/0.45 % (3140691)Instructions burned: 4 (million) 0.12/0.45 % (3140691)------------------------------ 0.12/0.45 % (3140691)------------------------------ 0.21/0.46 % (3140694)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_3140569 for (1799ds/3Mi) 0.21/0.46 % (3140694)Instruction limit reached! 0.21/0.46 % (3140694)------------------------------ 0.21/0.46 % (3140694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.46 % (3140694)Termination reason: Unknown 0.21/0.46 % (3140694)Termination phase: Property scanning 0.21/0.46 0.21/0.46 % (3140694)Memory used [KB]: 1023 0.21/0.46 % (3140694)Time elapsed: 0.002 s 0.21/0.46 % (3140694)Instructions burned: 4 (million) 0.21/0.46 % (3140694)------------------------------ 0.21/0.46 % (3140694)------------------------------ 0.21/0.46 % (3140690)Instruction limit reached! 0.21/0.46 % (3140690)------------------------------ 0.21/0.46 % (3140690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.46 % (3140690)Termination reason: Unknown 0.21/0.46 % (3140690)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (3140690)Memory used [KB]: 5628 0.21/0.46 % (3140690)Time elapsed: 0.015 s 0.21/0.46 % (3140690)Instructions burned: 18 (million) 0.21/0.46 % (3140690)------------------------------ 0.21/0.46 % (3140690)------------------------------ 0.21/0.47 % (3140686)Instruction limit reached! 0.21/0.47 % (3140686)------------------------------ 0.21/0.47 % (3140686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.47 % (3140686)Termination reason: Unknown 0.21/0.47 % (3140686)Termination phase: Saturation 0.21/0.47 0.21/0.47 % (3140686)Memory used [KB]: 5756 0.21/0.47 % (3140686)Time elapsed: 0.021 s 0.21/0.47 % (3140686)Instructions burned: 27 (million) 0.21/0.47 % (3140686)------------------------------ 0.21/0.47 % (3140686)------------------------------ 0.21/0.47 % (3140692)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_3140569 for (1799ds/37Mi) 0.21/0.47 % (3140693)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_3140569 for (1799ds/15Mi) 0.21/0.48 % (3140693)Instruction limit reached! 0.21/0.48 % (3140693)------------------------------ 0.21/0.48 % (3140693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.48 % (3140693)Termination reason: Unknown 0.21/0.48 % (3140693)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (3140693)Memory used [KB]: 5628 0.21/0.48 % (3140693)Time elapsed: 0.012 s 0.21/0.48 % (3140693)Instructions burned: 15 (million) 0.21/0.48 % (3140693)------------------------------ 0.21/0.48 % (3140693)------------------------------ 0.21/0.48 % (3140695)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_3140569 for (1799ds/1041Mi) 0.21/0.48 % (3140696)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_3140569 for (1799ds/7Mi) 0.21/0.48 % (3140696)Instruction limit reached! 0.21/0.48 % (3140696)------------------------------ 0.21/0.48 % (3140696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.48 % (3140696)Termination reason: Unknown 0.21/0.48 % (3140696)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (3140696)Memory used [KB]: 1151 0.21/0.48 % (3140696)Time elapsed: 0.006 s 0.21/0.48 % (3140696)Instructions burned: 7 (million) 0.21/0.48 % (3140696)------------------------------ 0.21/0.48 % (3140696)------------------------------ 0.21/0.48 % (3140697)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_3140569 for (1799ds/16Mi) 0.21/0.49 % (3140692)Instruction limit reached! 0.21/0.49 % (3140692)------------------------------ 0.21/0.49 % (3140692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.49 % (3140692)Termination reason: Unknown 0.21/0.49 % (3140692)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (3140692)Memory used [KB]: 5628 0.21/0.49 % (3140692)Time elapsed: 0.022 s 0.21/0.49 % (3140692)Instructions burned: 38 (million) 0.21/0.49 % (3140692)------------------------------ 0.21/0.49 % (3140692)------------------------------ 0.21/0.49 % (3140697)Instruction limit reached! 0.21/0.49 % (3140697)------------------------------ 0.21/0.49 % (3140697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.49 % (3140697)Termination reason: Unknown 0.21/0.49 % (3140697)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (3140697)Memory used [KB]: 5756 0.21/0.49 % (3140697)Time elapsed: 0.012 s 0.21/0.49 % (3140697)Instructions burned: 17 (million) 0.21/0.49 % (3140697)------------------------------ 0.21/0.49 % (3140697)------------------------------ 0.21/0.50 % (3140698)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_3140569 for (1799ds/3Mi) 0.21/0.50 % (3140698)Instruction limit reached! 0.21/0.50 % (3140698)------------------------------ 0.21/0.50 % (3140698)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.50 % (3140698)Termination reason: Unknown 0.21/0.50 % (3140698)Termination phase: Property scanning 0.21/0.50 0.21/0.50 % (3140698)Memory used [KB]: 1023 0.21/0.50 % (3140698)Time elapsed: 0.004 s 0.21/0.50 % (3140698)Instructions burned: 4 (million) 0.21/0.50 % (3140698)------------------------------ 0.21/0.50 % (3140698)------------------------------ 0.21/0.50 % (3140699)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_3140569 for (1799ds/3Mi) 0.21/0.50 % (3140699)Instruction limit reached! 0.21/0.50 % (3140699)------------------------------ 0.21/0.50 % (3140699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.50 % (3140699)Termination reason: Unknown 0.21/0.50 % (3140699)Termination phase: Preprocessing 3 0.21/0.50 0.21/0.50 % (3140699)Memory used [KB]: 1023 0.21/0.50 % (3140699)Time elapsed: 0.004 s 0.21/0.50 % (3140699)Instructions burned: 4 (million) 0.21/0.50 % (3140699)------------------------------ 0.21/0.50 % (3140699)------------------------------ 0.21/0.50 % (3140700)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_3140569 for (1799ds/7Mi) 0.21/0.51 % (3140700)Instruction limit reached! 0.21/0.51 % (3140700)------------------------------ 0.21/0.51 % (3140700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.51 % (3140700)Termination reason: Unknown 0.21/0.51 % (3140700)Termination phase: Saturation 0.21/0.51 0.21/0.51 % (3140700)Memory used [KB]: 5628 0.21/0.51 % (3140700)Time elapsed: 0.006 s 0.21/0.51 % (3140700)Instructions burned: 7 (million) 0.21/0.51 % (3140700)------------------------------ 0.21/0.51 % (3140700)------------------------------ 0.21/0.51 % (3140701)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_3140569 for (1799ds/3Mi) 0.21/0.51 % (3140701)Instruction limit reached! 0.21/0.51 % (3140701)------------------------------ 0.21/0.51 % (3140701)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.51 % (3140701)Termination reason: Unknown 0.21/0.51 % (3140701)Termination phase: Property scanning 0.21/0.51 0.21/0.51 % (3140701)Memory used [KB]: 1023 0.21/0.51 % (3140701)Time elapsed: 0.004 s 0.21/0.51 % (3140701)Instructions burned: 4 (million) 0.21/0.51 % (3140701)------------------------------ 0.21/0.51 % (3140701)------------------------------ 0.21/0.52 % (3140702)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_3140569 for (1799ds/4Mi) 0.21/0.52 % (3140689)First to succeed. 0.21/0.52 % (3140702)Instruction limit reached! 0.21/0.52 % (3140702)------------------------------ 0.21/0.52 % (3140702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.52 % (3140702)Termination reason: Unknown 0.21/0.52 % (3140702)Termination phase: Property scanning 0.21/0.52 0.21/0.52 % (3140702)Memory used [KB]: 1023 0.21/0.52 % (3140702)Time elapsed: 0.004 s 0.21/0.52 % (3140702)Instructions burned: 4 (million) 0.21/0.52 % (3140702)------------------------------ 0.21/0.52 % (3140702)------------------------------ 0.21/0.52 % (3140703)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_3140569 for (1799ds/18Mi) 0.21/0.52 % (3140689)Refutation found. Thanks to Tanya! 0.21/0.52 % SZS status Theorem for E---3.1_3140569 0.21/0.52 % SZS output start Proof for E---3.1_3140569 0.21/0.52 thf(func_def_0, type, eats: $i > $i > $o). 0.21/0.52 thf(func_def_1, type, grain: $i > $o). 0.21/0.52 thf(func_def_2, type, animal: $i > $o). 0.21/0.52 thf(func_def_3, type, snail: $i > $o). 0.21/0.52 thf(func_def_4, type, sf: $i > $i). 0.21/0.52 thf(func_def_5, type, plant: $i > $o). 0.21/0.52 thf(func_def_6, type, caterpillar: $i > $o). 0.21/0.52 thf(func_def_7, type, cf: $i > $i). 0.21/0.52 thf(func_def_8, type, bird: $i > $o). 0.21/0.52 thf(func_def_9, type, wolf: $i > $o). 0.21/0.52 thf(func_def_10, type, fox: $i > $o). 0.21/0.52 thf(func_def_11, type, msmaller: $i > $i > $o). 0.21/0.52 thf(f534,plain,( 0.21/0.52 $false), 0.21/0.52 inference(avatar_sat_refutation,[status(thm)],[f50,f115,f125,f154,f196,f209,f240,f265,f280,f300,f516,f533])). 0.21/0.52 thf(f533,plain,( 0.21/0.52 ~spl0_29), 0.21/0.52 inference(avatar_contradiction_clause,[status(thm)],[f532])). 0.21/0.52 thf(f532,plain,( 0.21/0.52 $false | ~spl0_29), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f531])). 0.21/0.52 thf(f531,plain,( 0.21/0.52 ($true != $true) | ~spl0_29), 0.21/0.52 inference(superposition,[status(thm)],[f515,f20])). 0.21/0.52 thf(f20,plain,( 0.21/0.52 ((fox @ a_fox) = $true)), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f7,plain,( 0.21/0.52 ! [X0 : $i] : (((eats @ X0 @ (sf @ X0)) = $true) | ((snail @ X0) != $true)) & ! [X1 : $i] : (((eats @ X1 @ (cf @ X1)) = $true) | ((caterpillar @ X1) != $true)) & ! [X2 : $i,X3 : $i] : (((msmaller @ X3 @ X2) = $true) | ((bird @ X3) != $true) | ((fox @ X2) != $true)) & ! [X4 : $i] : (((animal @ X4) = $true) | ((wolf @ X4) != $true)) & ! [X5 : $i] : (((animal @ X5) = $true) | ((bird @ X5) != $true)) & ! [X6 : $i] : (((plant @ (sf @ X6)) = $true) | ($true != (snail @ X6))) & ! [X7 : $i] : (((grain @ X7) != $true) | ((plant @ X7) = $true)) & ! [X8 : $i,X9 : $i,X10 : $i] : (((animal @ X9) != $true) | ((eats @ X10 @ X8) != $true) | ((animal @ X10) != $true) | ((grain @ X8) != $true) | ((eats @ X9 @ X10) != $true)) & ! [X11 : $i,X12 : $i] : (((snail @ X12) != $true) | ((msmaller @ X12 @ X11) = $true) | ((bird @ X11) != $true)) & ! [X13 : $i,X14 : $i] : (((bird @ X14) != $true) | ((msmaller @ X13 @ X14) = $true) | ((caterpillar @ X13) != $true)) & ! [X15 : $i,X16 : $i] : (((wolf @ X15) != $true) | ((eats @ X15 @ X16) != $true) | ((grain @ X16) != $true)) & ((bird @ a_bird) = $true) & ((caterpillar @ a_caterpillar) = $true) & ((fox @ a_fox) = $true) & ((grain @ a_grain) = $true) & ! [X17 : $i,X18 : $i] : (((fox @ X18) != $true) | ((eats @ X17 @ X18) != $true) | ((wolf @ X17) != $true)) & ! [X19 : $i] : (((snail @ X19) != $true) | ((animal @ X19) = $true)) & ((snail @ a_snail) = $true) & ! [X20 : $i,X21 : $i] : (((msmaller @ X21 @ X20) = $true) | ((fox @ X21) != $true) | ((wolf @ X20) != $true)) & ! [X22 : $i] : (((fox @ X22) != $true) | ((animal @ X22) = $true)) & ! [X23 : $i,X24 : $i] : (((caterpillar @ X24) != $true) | ((bird @ X23) != $true) | ((eats @ X23 @ X24) = $true)) & ((wolf @ a_wolf) = $true) & ! [X25 : $i] : (((caterpillar @ X25) != $true) | ((plant @ (cf @ X25)) = $true)) & ! [X26 : $i] : (((caterpillar @ X26) != $true) | ((animal @ X26) = $true)) & ! [X27 : $i,X28 : $i] : (((eats @ X28 @ X27) != $true) | ((bird @ X28) != $true) | ($true != (snail @ X27))) & ! [X29 : $i,X30 : $i,X31 : $i,X32 : $i] : (((eats @ X32 @ X29) != $true) | ((plant @ X29) != $true) | ((eats @ X31 @ X32) = $true) | ((eats @ X31 @ X30) = $true) | ((plant @ X30) != $true) | ((animal @ X31) != $true) | ((animal @ X32) != $true) | ((msmaller @ X32 @ X31) != $true))), 0.21/0.52 inference(rectify,[status(thm)],[f6])). 0.21/0.52 thf(f6,plain,( 0.21/0.52 ! [X0 : $i] : (((eats @ X0 @ (sf @ X0)) = $true) | ((snail @ X0) != $true)) & ! [X32 : $i] : (((eats @ X32 @ (cf @ X32)) = $true) | ((caterpillar @ X32) != $true)) & ! [X19 : $i,X20 : $i] : (((msmaller @ X20 @ X19) = $true) | ((bird @ X20) != $true) | ((fox @ X19) != $true)) & ! [X30 : $i] : (((animal @ X30) = $true) | ((wolf @ X30) != $true)) & ! [X31 : $i] : (((animal @ X31) = $true) | ((bird @ X31) != $true)) & ! [X21 : $i] : (((plant @ (sf @ X21)) = $true) | ((snail @ X21) != $true)) & ! [X1 : $i] : (((grain @ X1) != $true) | ((plant @ X1) = $true)) & ! [X13 : $i,X11 : $i,X12 : $i] : (((animal @ X11) != $true) | ((eats @ X12 @ X13) != $true) | ((animal @ X12) != $true) | ((grain @ X13) != $true) | ((eats @ X11 @ X12) != $true)) & ! [X14 : $i,X15 : $i] : (((snail @ X15) != $true) | ((msmaller @ X15 @ X14) = $true) | ((bird @ X14) != $true)) & ! [X17 : $i,X18 : $i] : (($true != (bird @ X18)) | ((msmaller @ X17 @ X18) = $true) | ((caterpillar @ X17) != $true)) & ! [X27 : $i,X26 : $i] : (((wolf @ X27) != $true) | ((eats @ X27 @ X26) != $true) | ((grain @ X26) != $true)) & ((bird @ a_bird) = $true) & ((caterpillar @ a_caterpillar) = $true) & ((fox @ a_fox) = $true) & ((grain @ a_grain) = $true) & ! [X9 : $i,X10 : $i] : (((fox @ X10) != $true) | ((eats @ X9 @ X10) != $true) | ((wolf @ X9) != $true)) & ! [X2 : $i] : (((snail @ X2) != $true) | ((animal @ X2) = $true)) & ((snail @ a_snail) = $true) & ! [X4 : $i,X3 : $i] : (((msmaller @ X3 @ X4) = $true) | ((fox @ X3) != $true) | ((wolf @ X4) != $true)) & ! [X6 : $i] : (((fox @ X6) != $true) | ((animal @ X6) = $true)) & ! [X28 : $i,X29 : $i] : (((caterpillar @ X29) != $true) | ((bird @ X28) != $true) | ((eats @ X28 @ X29) = $true)) & ((wolf @ a_wolf) = $true) & ! [X16 : $i] : (((caterpillar @ X16) != $true) | ((plant @ (cf @ X16)) = $true)) & ! [X5 : $i] : (((caterpillar @ X5) != $true) | ((animal @ X5) = $true)) & ! [X7 : $i,X8 : $i] : (((eats @ X8 @ X7) != $true) | ((bird @ X8) != $true) | ($true != (snail @ X7))) & ! [X22 : $i,X24 : $i,X23 : $i,X25 : $i] : (((eats @ X25 @ X22) != $true) | ((plant @ X22) != $true) | ((eats @ X23 @ X25) = $true) | ((eats @ X23 @ X24) = $true) | ((plant @ X24) != $true) | ((animal @ X23) != $true) | ((animal @ X25) != $true) | ((msmaller @ X25 @ X23) != $true))), 0.21/0.52 inference(flattening,[status(thm)],[f5])). 0.21/0.52 thf(f5,plain,( 0.21/0.52 ~~(((grain @ a_grain) = $true) & ! [X0 : $i] : (((eats @ X0 @ (sf @ X0)) = $true) | ~((snail @ X0) = $true)) & ! [X1 : $i] : (((plant @ X1) = $true) | ~((grain @ X1) = $true)) & ! [X2 : $i] : (~((snail @ X2) = $true) | ((animal @ X2) = $true)) & ! [X3 : $i,X4 : $i] : (~((fox @ X3) = $true) | ((msmaller @ X3 @ X4) = $true) | ~((wolf @ X4) = $true)) & ! [X5 : $i] : (((animal @ X5) = $true) | ~((caterpillar @ X5) = $true)) & ((fox @ a_fox) = $true) & ! [X6 : $i] : (~((fox @ X6) = $true) | ((animal @ X6) = $true)) & ! [X7 : $i,X8 : $i] : (~($true = (snail @ X7)) | ~((bird @ X8) = $true) | ~((eats @ X8 @ X7) = $true)) & ! [X9 : $i,X10 : $i] : (~((eats @ X9 @ X10) = $true) | ~((wolf @ X9) = $true) | ~((fox @ X10) = $true)) & ((caterpillar @ a_caterpillar) = $true) & ! [X11 : $i,X12 : $i,X13 : $i] : (~((animal @ X11) = $true) | ~((grain @ X13) = $true) | ~((eats @ X12 @ X13) = $true) | ~((animal @ X12) = $true) | ~((eats @ X11 @ X12) = $true)) & ! [X14 : $i,X15 : $i] : (~((bird @ X14) = $true) | ~((snail @ X15) = $true) | ((msmaller @ X15 @ X14) = $true)) & ! [X16 : $i] : (((plant @ (cf @ X16)) = $true) | ~((caterpillar @ X16) = $true)) & ! [X17 : $i,X18 : $i] : (~((caterpillar @ X17) = $true) | ~($true = (bird @ X18)) | ((msmaller @ X17 @ X18) = $true)) & ((bird @ a_bird) = $true) & ! [X19 : $i,X20 : $i] : (~((fox @ X19) = $true) | ((msmaller @ X20 @ X19) = $true) | ~((bird @ X20) = $true)) & ! [X21 : $i] : (~((snail @ X21) = $true) | ((plant @ (sf @ X21)) = $true)) & ! [X22 : $i,X23 : $i,X24 : $i,X25 : $i] : (~((plant @ X22) = $true) | ~((animal @ X25) = $true) | ~((animal @ X23) = $true) | ~((plant @ X24) = $true) | ((eats @ X23 @ X25) = $true) | ~((eats @ X25 @ X22) = $true) | ~((msmaller @ X25 @ X23) = $true) | ((eats @ X23 @ X24) = $true)) & ((wolf @ a_wolf) = $true) & ! [X26 : $i,X27 : $i] : (~((wolf @ X27) = $true) | ~((eats @ X27 @ X26) = $true) | ~((grain @ X26) = $true)) & ((snail @ a_snail) = $true) & ! [X28 : $i,X29 : $i] : (~((bird @ X28) = $true) | ~((caterpillar @ X29) = $true) | ((eats @ X28 @ X29) = $true)) & ! [X30 : $i] : (~((wolf @ X30) = $true) | ((animal @ X30) = $true)) & ! [X31 : $i] : (~((bird @ X31) = $true) | ((animal @ X31) = $true)) & ! [X32 : $i] : (~((caterpillar @ X32) = $true) | ((eats @ X32 @ (cf @ X32)) = $true)))), 0.21/0.52 inference(fool_elimination,[status(thm)],[f4])). 0.21/0.52 thf(f4,plain,( 0.21/0.52 ~~((grain @ a_grain) & ! [X0 : $i] : ((eats @ X0 @ (sf @ X0)) | ~(snail @ X0)) & ! [X1 : $i] : ((plant @ X1) | ~(grain @ X1)) & ! [X2 : $i] : (~(snail @ X2) | (animal @ X2)) & ! [X3 : $i,X4 : $i] : (~(fox @ X3) | (msmaller @ X3 @ X4) | ~(wolf @ X4)) & ! [X5 : $i] : ((animal @ X5) | ~(caterpillar @ X5)) & (fox @ a_fox) & ! [X6 : $i] : (~(fox @ X6) | (animal @ X6)) & ! [X7 : $i,X8 : $i] : (~(snail @ X7) | ~(bird @ X8) | ~(eats @ X8 @ X7)) & ! [X9 : $i,X10 : $i] : (~(eats @ X9 @ X10) | ~(wolf @ X9) | ~(fox @ X10)) & (caterpillar @ a_caterpillar) & ! [X11 : $i,X12 : $i,X13 : $i] : (~(animal @ X11) | ~(grain @ X13) | ~(eats @ X12 @ X13) | ~(animal @ X12) | ~(eats @ X11 @ X12)) & ! [X14 : $i,X15 : $i] : (~(bird @ X14) | ~(snail @ X15) | (msmaller @ X15 @ X14)) & ! [X16 : $i] : ((plant @ (cf @ X16)) | ~(caterpillar @ X16)) & ! [X17 : $i,X18 : $i] : (~(caterpillar @ X17) | ~(bird @ X18) | (msmaller @ X17 @ X18)) & (bird @ a_bird) & ! [X19 : $i,X20 : $i] : (~(fox @ X19) | (msmaller @ X20 @ X19) | ~(bird @ X20)) & ! [X21 : $i] : (~(snail @ X21) | (plant @ (sf @ X21))) & ! [X22 : $i,X23 : $i,X24 : $i,X25 : $i] : (~(plant @ X22) | ~(animal @ X25) | ~(animal @ X23) | ~(plant @ X24) | (eats @ X23 @ X25) | ~(eats @ X25 @ X22) | ~(msmaller @ X25 @ X23) | (eats @ X23 @ X24)) & (wolf @ a_wolf) & ! [X26 : $i,X27 : $i] : (~(wolf @ X27) | ~(eats @ X27 @ X26) | ~(grain @ X26)) & (snail @ a_snail) & ! [X28 : $i,X29 : $i] : (~(bird @ X28) | ~(caterpillar @ X29) | (eats @ X28 @ X29)) & ! [X30 : $i] : (~(wolf @ X30) | (animal @ X30)) & ! [X31 : $i] : (~(bird @ X31) | (animal @ X31)) & ! [X32 : $i] : (~(caterpillar @ X32) | (eats @ X32 @ (cf @ X32))))), 0.21/0.52 inference(rectify,[status(thm)],[f2])). 0.21/0.52 thf(f2,negated_conjecture,( 0.21/0.52 ~~((grain @ a_grain) & ! [X3 : $i] : ((eats @ X3 @ (sf @ X3)) | ~(snail @ X3)) & ! [X0 : $i] : ((plant @ X0) | ~(grain @ X0)) & ! [X0 : $i] : (~(snail @ X0) | (animal @ X0)) & ! [X10 : $i,X7 : $i] : (~(fox @ X10) | (msmaller @ X10 @ X7) | ~(wolf @ X7)) & ! [X0 : $i] : ((animal @ X0) | ~(caterpillar @ X0)) & (fox @ a_fox) & ! [X0 : $i] : (~(fox @ X0) | (animal @ X0)) & ! [X3 : $i,X6 : $i] : (~(snail @ X3) | ~(bird @ X6) | ~(eats @ X6 @ X3)) & ! [X7 : $i,X10 : $i] : (~(eats @ X7 @ X10) | ~(wolf @ X7) | ~(fox @ X10)) & (caterpillar @ a_caterpillar) & ! [X1 : $i,X9 : $i,X8 : $i] : (~(animal @ X1) | ~(grain @ X8) | ~(eats @ X9 @ X8) | ~(animal @ X9) | ~(eats @ X1 @ X9)) & ! [X6 : $i,X3 : $i] : (~(bird @ X6) | ~(snail @ X3) | (msmaller @ X3 @ X6)) & ! [X5 : $i] : ((plant @ (cf @ X5)) | ~(caterpillar @ X5)) & ! [X5 : $i,X6 : $i] : (~(caterpillar @ X5) | ~(bird @ X6) | (msmaller @ X5 @ X6)) & (bird @ a_bird) & ! [X10 : $i,X6 : $i] : (~(fox @ X10) | (msmaller @ X6 @ X10) | ~(bird @ X6)) & ! [X3 : $i] : (~(snail @ X3) | (plant @ (sf @ X3))) & ! [X4 : $i,X1 : $i,X2 : $i,X3 : $i] : (~(plant @ X4) | ~(animal @ X3) | ~(animal @ X1) | ~(plant @ X2) | (eats @ X1 @ X3) | ~(eats @ X3 @ X4) | ~(msmaller @ X3 @ X1) | (eats @ X1 @ X2)) & (wolf @ a_wolf) & ! [X8 : $i,X7 : $i] : (~(wolf @ X7) | ~(eats @ X7 @ X8) | ~(grain @ X8)) & (snail @ a_snail) & ! [X6 : $i,X5 : $i] : (~(bird @ X6) | ~(caterpillar @ X5) | (eats @ X6 @ X5)) & ! [X0 : $i] : (~(wolf @ X0) | (animal @ X0)) & ! [X0 : $i] : (~(bird @ X0) | (animal @ X0)) & ! [X5 : $i] : (~(caterpillar @ X5) | (eats @ X5 @ (cf @ X5))))), 0.21/0.52 inference(negated_conjecture,[status(cth)],[f1])). 0.21/0.52 thf(f1,conjecture,( 0.21/0.52 ~((grain @ a_grain) & ! [X3 : $i] : ((eats @ X3 @ (sf @ X3)) | ~(snail @ X3)) & ! [X0 : $i] : ((plant @ X0) | ~(grain @ X0)) & ! [X0 : $i] : (~(snail @ X0) | (animal @ X0)) & ! [X10 : $i,X7 : $i] : (~(fox @ X10) | (msmaller @ X10 @ X7) | ~(wolf @ X7)) & ! [X0 : $i] : ((animal @ X0) | ~(caterpillar @ X0)) & (fox @ a_fox) & ! [X0 : $i] : (~(fox @ X0) | (animal @ X0)) & ! [X3 : $i,X6 : $i] : (~(snail @ X3) | ~(bird @ X6) | ~(eats @ X6 @ X3)) & ! [X7 : $i,X10 : $i] : (~(eats @ X7 @ X10) | ~(wolf @ X7) | ~(fox @ X10)) & (caterpillar @ a_caterpillar) & ! [X1 : $i,X9 : $i,X8 : $i] : (~(animal @ X1) | ~(grain @ X8) | ~(eats @ X9 @ X8) | ~(animal @ X9) | ~(eats @ X1 @ X9)) & ! [X6 : $i,X3 : $i] : (~(bird @ X6) | ~(snail @ X3) | (msmaller @ X3 @ X6)) & ! [X5 : $i] : ((plant @ (cf @ X5)) | ~(caterpillar @ X5)) & ! [X5 : $i,X6 : $i] : (~(caterpillar @ X5) | ~(bird @ X6) | (msmaller @ X5 @ X6)) & (bird @ a_bird) & ! [X10 : $i,X6 : $i] : (~(fox @ X10) | (msmaller @ X6 @ X10) | ~(bird @ X6)) & ! [X3 : $i] : (~(snail @ X3) | (plant @ (sf @ X3))) & ! [X4 : $i,X1 : $i,X2 : $i,X3 : $i] : (~(plant @ X4) | ~(animal @ X3) | ~(animal @ X1) | ~(plant @ X2) | (eats @ X1 @ X3) | ~(eats @ X3 @ X4) | ~(msmaller @ X3 @ X1) | (eats @ X1 @ X2)) & (wolf @ a_wolf) & ! [X8 : $i,X7 : $i] : (~(wolf @ X7) | ~(eats @ X7 @ X8) | ~(grain @ X8)) & (snail @ a_snail) & ! [X6 : $i,X5 : $i] : (~(bird @ X6) | ~(caterpillar @ X5) | (eats @ X6 @ X5)) & ! [X0 : $i] : (~(wolf @ X0) | (animal @ X0)) & ! [X0 : $i] : (~(bird @ X0) | (animal @ X0)) & ! [X5 : $i] : (~(caterpillar @ X5) | (eats @ X5 @ (cf @ X5))))), 0.21/0.52 file('/export/starexec/sandbox2/tmp/tmp.kpUQHIPim6/E---3.1_3140569.p',cPUZ031_1)). 0.21/0.52 thf(f515,plain,( 0.21/0.52 ( ! [X0 : $i] : (((fox @ X0) != $true)) ) | ~spl0_29), 0.21/0.52 inference(avatar_component_clause,[status(thm)],[f514])). 0.21/0.52 thf(f514,definition,( 0.21/0.52 spl0_29 <=> ! [X0 : $i] : ((fox @ X0) != $true)), 0.21/0.52 introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition])). 0.21/0.52 thf(f516,plain,( 0.21/0.52 spl0_29 | spl0_2 | spl0_16 | ~spl0_8 | ~spl0_22), 0.21/0.52 inference(avatar_split_clause,[status(thm)],[f512,f278,f113,f170,f45,f514])). 0.21/0.52 thf(f45,definition,( 0.21/0.52 spl0_2 <=> ! [X0 : $i] : ((bird @ X0) != $true)), 0.21/0.52 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])). 0.21/0.52 thf(f170,definition,( 0.21/0.52 spl0_16 <=> ! [X2 : $i] : ((plant @ X2) != $true)), 0.21/0.52 introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition])). 0.21/0.52 thf(f113,definition,( 0.21/0.52 spl0_8 <=> ! [X1 : $i,X3 : $i] : (((eats @ X1 @ X3) != $true) | ((fox @ X1) != $true) | ((plant @ X3) != $true))), 0.21/0.52 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])). 0.21/0.52 thf(f278,definition,( 0.21/0.52 spl0_22 <=> ! [X2 : $i,X0 : $i,X1 : $i] : (((msmaller @ X1 @ X0) != $true) | ((plant @ X2) != $true) | ((animal @ X0) != $true) | ((bird @ X1) != $true) | ((eats @ X0 @ X2) = $true))), 0.21/0.52 introduced(definition,[new_symbols(naming,[spl0_22])],[avatar_definition])). 0.21/0.52 thf(f512,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((fox @ X0) != $true) | ((plant @ X1) != $true) | ((bird @ X2) != $true)) ) | (~spl0_8 | ~spl0_22)), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f511,f14])). 0.21/0.52 thf(f14,plain,( 0.21/0.52 ( ! [X22 : $i] : (((animal @ X22) = $true) | ((fox @ X22) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f511,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((animal @ X0) != $true) | ((plant @ X1) != $true) | ((fox @ X0) != $true) | ((bird @ X2) != $true)) ) | (~spl0_8 | ~spl0_22)), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f499,f31])). 0.21/0.52 thf(f31,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i] : (((msmaller @ X3 @ X2) = $true) | ((bird @ X3) != $true) | ((fox @ X2) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f499,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((msmaller @ X2 @ X0) != $true) | ((fox @ X0) != $true) | ((bird @ X2) != $true) | ((animal @ X0) != $true) | ((plant @ X1) != $true)) ) | (~spl0_8 | ~spl0_22)), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f498])). 0.21/0.52 thf(f498,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((msmaller @ X2 @ X0) != $true) | ((plant @ X1) != $true) | ((bird @ X2) != $true) | ((fox @ X0) != $true) | ((animal @ X0) != $true)) ) | (~spl0_8 | ~spl0_22)), 0.21/0.52 inference(duplicate_literal_removal,[status(thm)],[f491])). 0.21/0.52 thf(f491,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((plant @ X1) != $true) | ((fox @ X0) != $true) | ((msmaller @ X2 @ X0) != $true) | ((bird @ X2) != $true) | ($true != $true) | ((plant @ X1) != $true) | ((animal @ X0) != $true)) ) | (~spl0_8 | ~spl0_22)), 0.21/0.52 inference(superposition,[status(thm)],[f114,f279])). 0.21/0.52 thf(f279,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eats @ X0 @ X2) = $true) | ((animal @ X0) != $true) | ((msmaller @ X1 @ X0) != $true) | ((plant @ X2) != $true) | ((bird @ X1) != $true)) ) | ~spl0_22), 0.21/0.52 inference(avatar_component_clause,[status(thm)],[f278])). 0.21/0.52 thf(f114,plain,( 0.21/0.52 ( ! [X3 : $i,X1 : $i] : (((eats @ X1 @ X3) != $true) | ((plant @ X3) != $true) | ((fox @ X1) != $true)) ) | ~spl0_8), 0.21/0.52 inference(avatar_component_clause,[status(thm)],[f113])). 0.21/0.52 thf(f300,plain,( 0.21/0.52 ~spl0_9), 0.21/0.52 inference(avatar_contradiction_clause,[status(thm)],[f299])). 0.21/0.52 thf(f299,plain,( 0.21/0.52 $false | ~spl0_9), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f298])). 0.21/0.52 thf(f298,plain,( 0.21/0.52 ($true != $true) | ~spl0_9), 0.21/0.52 inference(superposition,[status(thm)],[f297,f16])). 0.21/0.52 thf(f16,plain,( 0.21/0.52 ((snail @ a_snail) = $true)), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f297,plain,( 0.21/0.52 ( ! [X0 : $i] : (((snail @ X0) != $true)) ) | ~spl0_9), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f295,f28])). 0.21/0.52 thf(f28,plain,( 0.21/0.52 ( ! [X6 : $i] : (((plant @ (sf @ X6)) = $true) | ($true != (snail @ X6))) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f295,plain,( 0.21/0.52 ( ! [X0 : $i] : (((snail @ X0) != $true) | ((plant @ (sf @ X0)) != $true)) ) | ~spl0_9), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f294])). 0.21/0.52 thf(f294,plain,( 0.21/0.52 ( ! [X0 : $i] : (((plant @ (sf @ X0)) != $true) | ((snail @ X0) != $true) | ($true != $true)) ) | ~spl0_9), 0.21/0.52 inference(duplicate_literal_removal,[status(thm)],[f289])). 0.21/0.52 thf(f289,plain,( 0.21/0.52 ( ! [X0 : $i] : (((plant @ (sf @ X0)) != $true) | ((snail @ X0) != $true) | ($true != $true) | ((snail @ X0) != $true)) ) | ~spl0_9), 0.21/0.52 inference(superposition,[status(thm)],[f121,f33])). 0.21/0.52 thf(f33,plain,( 0.21/0.52 ( ! [X0 : $i] : (((eats @ X0 @ (sf @ X0)) = $true) | ((snail @ X0) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f121,plain,( 0.21/0.52 ( ! [X3 : $i,X1 : $i] : (((eats @ X1 @ X3) != $true) | ((plant @ X3) != $true) | ((snail @ X1) != $true)) ) | ~spl0_9), 0.21/0.52 inference(avatar_component_clause,[status(thm)],[f120])). 0.21/0.52 thf(f120,definition,( 0.21/0.52 spl0_9 <=> ! [X1 : $i,X3 : $i] : (((snail @ X1) != $true) | ((eats @ X1 @ X3) != $true) | ((plant @ X3) != $true))), 0.21/0.52 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])). 0.21/0.52 thf(f280,plain,( 0.21/0.52 spl0_22 | spl0_16 | ~spl0_6 | ~spl0_10), 0.21/0.52 inference(avatar_split_clause,[status(thm)],[f276,f123,f90,f170,f278])). 0.21/0.52 thf(f90,definition,( 0.21/0.52 spl0_6 <=> ! [X2 : $i,X0 : $i] : (((eats @ X2 @ X0) != $true) | ((bird @ X0) != $true) | ((animal @ X2) != $true))), 0.21/0.52 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])). 0.21/0.52 thf(f123,definition,( 0.21/0.52 spl0_10 <=> ! [X2 : $i,X0 : $i] : (((bird @ X0) != $true) | ((plant @ X2) != $true) | ((eats @ X0 @ X2) = $true))), 0.21/0.52 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])). 0.21/0.52 thf(f276,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((msmaller @ X1 @ X0) != $true) | ((plant @ X3) != $true) | ((eats @ X0 @ X2) = $true) | ((bird @ X1) != $true) | ((animal @ X0) != $true) | ((plant @ X2) != $true)) ) | (~spl0_6 | ~spl0_10)), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f275,f29])). 0.21/0.52 thf(f29,plain,( 0.21/0.52 ( ! [X5 : $i] : (((animal @ X5) = $true) | ((bird @ X5) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f275,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eats @ X0 @ X2) = $true) | ((animal @ X1) != $true) | ((animal @ X0) != $true) | ((bird @ X1) != $true) | ((plant @ X3) != $true) | ((plant @ X2) != $true) | ((msmaller @ X1 @ X0) != $true)) ) | (~spl0_6 | ~spl0_10)), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f274,f124])). 0.21/0.52 thf(f124,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i] : (((eats @ X0 @ X2) = $true) | ((bird @ X0) != $true) | ((plant @ X2) != $true)) ) | ~spl0_10), 0.21/0.52 inference(avatar_component_clause,[status(thm)],[f123])). 0.21/0.52 thf(f274,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X0) != $true) | ((msmaller @ X1 @ X0) != $true) | ((plant @ X3) != $true) | ((eats @ X1 @ X3) != $true) | ((plant @ X2) != $true) | ((eats @ X0 @ X2) = $true) | ((animal @ X1) != $true) | ((bird @ X1) != $true)) ) | ~spl0_6), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f273])). 0.21/0.52 thf(f273,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X1) != $true) | ((plant @ X3) != $true) | ((plant @ X2) != $true) | ((bird @ X1) != $true) | ((eats @ X0 @ X2) = $true) | ($true != $true) | ((msmaller @ X1 @ X0) != $true) | ((animal @ X0) != $true) | ((eats @ X1 @ X3) != $true)) ) | ~spl0_6), 0.21/0.52 inference(duplicate_literal_removal,[status(thm)],[f268])). 0.21/0.52 thf(f268,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((plant @ X3) != $true) | ($true != $true) | ((msmaller @ X1 @ X0) != $true) | ((eats @ X1 @ X3) != $true) | ((eats @ X0 @ X2) = $true) | ((bird @ X1) != $true) | ((animal @ X1) != $true) | ((animal @ X0) != $true) | ((animal @ X0) != $true) | ((plant @ X2) != $true)) ) | ~spl0_6), 0.21/0.52 inference(superposition,[status(thm)],[f91,f8])). 0.21/0.52 thf(f8,plain,( 0.21/0.52 ( ! [X31 : $i,X29 : $i,X32 : $i,X30 : $i] : (((eats @ X31 @ X32) = $true) | ((plant @ X30) != $true) | ((eats @ X31 @ X30) = $true) | ((eats @ X32 @ X29) != $true) | ((animal @ X31) != $true) | ((plant @ X29) != $true) | ((msmaller @ X32 @ X31) != $true) | ((animal @ X32) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f91,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i] : (((eats @ X2 @ X0) != $true) | ((animal @ X2) != $true) | ((bird @ X0) != $true)) ) | ~spl0_6), 0.21/0.52 inference(avatar_component_clause,[status(thm)],[f90])). 0.21/0.52 thf(f265,plain,( 0.21/0.52 spl0_14 | ~spl0_16), 0.21/0.52 inference(avatar_split_clause,[status(thm)],[f262,f170,f150])). 0.21/0.52 thf(f150,definition,( 0.21/0.52 spl0_14 <=> ! [X1 : $i] : ((grain @ X1) != $true)), 0.21/0.52 introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition])). 0.21/0.52 thf(f262,plain,( 0.21/0.52 ( ! [X0 : $i] : (((grain @ X0) != $true)) ) | ~spl0_16), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f259])). 0.21/0.52 thf(f259,plain,( 0.21/0.52 ( ! [X0 : $i] : (($true != $true) | ((grain @ X0) != $true)) ) | ~spl0_16), 0.21/0.52 inference(superposition,[status(thm)],[f171,f27])). 0.21/0.52 thf(f27,plain,( 0.21/0.52 ( ! [X7 : $i] : (((plant @ X7) = $true) | ((grain @ X7) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f171,plain,( 0.21/0.52 ( ! [X2 : $i] : (((plant @ X2) != $true)) ) | ~spl0_16), 0.21/0.52 inference(avatar_component_clause,[status(thm)],[f170])). 0.21/0.52 thf(f240,plain,( 0.21/0.52 spl0_14 | spl0_6 | ~spl0_10), 0.21/0.52 inference(avatar_split_clause,[status(thm)],[f239,f123,f90,f150])). 0.21/0.52 thf(f239,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eats @ X2 @ X0) != $true) | ((bird @ X0) != $true) | ((grain @ X1) != $true) | ((animal @ X2) != $true)) ) | ~spl0_10), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f238,f29])). 0.21/0.52 thf(f238,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ((eats @ X2 @ X0) != $true) | ((grain @ X1) != $true) | ((animal @ X2) != $true) | ((animal @ X0) != $true)) ) | ~spl0_10), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f227,f27])). 0.21/0.52 thf(f227,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((animal @ X0) != $true) | ((eats @ X2 @ X0) != $true) | ((grain @ X1) != $true) | ((animal @ X2) != $true) | ((plant @ X1) != $true) | ((bird @ X0) != $true)) ) | ~spl0_10), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f224])). 0.21/0.52 thf(f224,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((animal @ X0) != $true) | ((animal @ X2) != $true) | ((eats @ X2 @ X0) != $true) | ((grain @ X1) != $true) | ((plant @ X1) != $true) | ((bird @ X0) != $true)) ) | ~spl0_10), 0.21/0.52 inference(superposition,[status(thm)],[f26,f124])). 0.21/0.52 thf(f26,plain,( 0.21/0.52 ( ! [X10 : $i,X8 : $i,X9 : $i] : (((eats @ X10 @ X8) != $true) | ((eats @ X9 @ X10) != $true) | ((animal @ X10) != $true) | ((grain @ X8) != $true) | ((animal @ X9) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f209,plain,( 0.21/0.52 ~spl0_14), 0.21/0.52 inference(avatar_contradiction_clause,[status(thm)],[f208])). 0.21/0.52 thf(f208,plain,( 0.21/0.52 $false | ~spl0_14), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f207])). 0.21/0.52 thf(f207,plain,( 0.21/0.52 ($true != $true) | ~spl0_14), 0.21/0.52 inference(superposition,[status(thm)],[f151,f19])). 0.21/0.52 thf(f19,plain,( 0.21/0.52 ((grain @ a_grain) = $true)), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f151,plain,( 0.21/0.52 ( ! [X1 : $i] : (((grain @ X1) != $true)) ) | ~spl0_14), 0.21/0.52 inference(avatar_component_clause,[status(thm)],[f150])). 0.21/0.52 thf(f196,plain,( 0.21/0.52 ~spl0_12), 0.21/0.52 inference(avatar_contradiction_clause,[status(thm)],[f195])). 0.21/0.52 thf(f195,plain,( 0.21/0.52 $false | ~spl0_12), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f194])). 0.21/0.52 thf(f194,plain,( 0.21/0.52 ($true != $true) | ~spl0_12), 0.21/0.52 inference(superposition,[status(thm)],[f142,f12])). 0.21/0.52 thf(f12,plain,( 0.21/0.52 ((wolf @ a_wolf) = $true)), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f142,plain,( 0.21/0.52 ( ! [X0 : $i] : (((wolf @ X0) != $true)) ) | ~spl0_12), 0.21/0.52 inference(avatar_component_clause,[status(thm)],[f141])). 0.21/0.52 thf(f141,definition,( 0.21/0.52 spl0_12 <=> ! [X0 : $i] : ((wolf @ X0) != $true)), 0.21/0.52 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])). 0.21/0.52 thf(f154,plain,( 0.21/0.52 spl0_12 | spl0_14 | ~spl0_7), 0.21/0.52 inference(avatar_split_clause,[status(thm)],[f153,f110,f150,f141])). 0.21/0.52 thf(f110,definition,( 0.21/0.52 spl0_7 <=> ! [X2 : $i,X0 : $i] : (((eats @ X0 @ X2) = $true) | ((plant @ X2) != $true) | ((wolf @ X0) != $true))), 0.21/0.52 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])). 0.21/0.52 thf(f153,plain,( 0.21/0.52 ( ! [X0 : $i,X1 : $i] : (((grain @ X1) != $true) | ((wolf @ X0) != $true)) ) | ~spl0_7), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f133,f27])). 0.21/0.52 thf(f133,plain,( 0.21/0.52 ( ! [X0 : $i,X1 : $i] : (((grain @ X1) != $true) | ((wolf @ X0) != $true) | ((plant @ X1) != $true)) ) | ~spl0_7), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f132])). 0.21/0.52 thf(f132,plain,( 0.21/0.52 ( ! [X0 : $i,X1 : $i] : (((wolf @ X0) != $true) | ($true != $true) | ((plant @ X1) != $true) | ((grain @ X1) != $true)) ) | ~spl0_7), 0.21/0.52 inference(duplicate_literal_removal,[status(thm)],[f129])). 0.21/0.52 thf(f129,plain,( 0.21/0.52 ( ! [X0 : $i,X1 : $i] : (((plant @ X1) != $true) | ($true != $true) | ((wolf @ X0) != $true) | ((wolf @ X0) != $true) | ((grain @ X1) != $true)) ) | ~spl0_7), 0.21/0.52 inference(superposition,[status(thm)],[f23,f111])). 0.21/0.52 thf(f111,plain,( 0.21/0.52 ( ! [X2 : $i,X0 : $i] : (((eats @ X0 @ X2) = $true) | ((wolf @ X0) != $true) | ((plant @ X2) != $true)) ) | ~spl0_7), 0.21/0.52 inference(avatar_component_clause,[status(thm)],[f110])). 0.21/0.52 thf(f23,plain,( 0.21/0.52 ( ! [X16 : $i,X15 : $i] : (((eats @ X15 @ X16) != $true) | ((grain @ X16) != $true) | ((wolf @ X15) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f125,plain,( 0.21/0.52 spl0_9 | spl0_10), 0.21/0.52 inference(avatar_split_clause,[status(thm)],[f118,f123,f120])). 0.21/0.52 thf(f118,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ((snail @ X1) != $true) | ((plant @ X3) != $true) | ((eats @ X0 @ X2) = $true) | ((plant @ X2) != $true) | ((eats @ X1 @ X3) != $true)) )), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f117,f29])). 0.21/0.52 thf(f117,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((plant @ X3) != $true) | ((eats @ X1 @ X3) != $true) | ((plant @ X2) != $true) | ((snail @ X1) != $true) | ((eats @ X0 @ X2) = $true) | ((animal @ X0) != $true) | ((bird @ X0) != $true)) )), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f116,f17])). 0.21/0.52 thf(f17,plain,( 0.21/0.52 ( ! [X19 : $i] : (((animal @ X19) = $true) | ((snail @ X19) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f116,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X1) != $true) | ((plant @ X2) != $true) | ((eats @ X0 @ X2) = $true) | ((animal @ X0) != $true) | ((snail @ X1) != $true) | ((plant @ X3) != $true) | ((eats @ X1 @ X3) != $true) | ((bird @ X0) != $true)) )), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f104,f25])). 0.21/0.52 thf(f25,plain,( 0.21/0.52 ( ! [X11 : $i,X12 : $i] : (((msmaller @ X12 @ X11) = $true) | ((snail @ X12) != $true) | ((bird @ X11) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f104,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((msmaller @ X1 @ X0) != $true) | ((snail @ X1) != $true) | ((plant @ X2) != $true) | ((eats @ X1 @ X3) != $true) | ((eats @ X0 @ X2) = $true) | ((bird @ X0) != $true) | ((plant @ X3) != $true) | ((animal @ X1) != $true) | ((animal @ X0) != $true)) )), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f98])). 0.21/0.52 thf(f98,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((snail @ X1) != $true) | ((msmaller @ X1 @ X0) != $true) | ((animal @ X1) != $true) | ((bird @ X0) != $true) | ((eats @ X0 @ X2) = $true) | ((eats @ X1 @ X3) != $true) | ((animal @ X0) != $true) | ($true != $true) | ((plant @ X3) != $true) | ((plant @ X2) != $true)) )), 0.21/0.52 inference(superposition,[status(thm)],[f9,f8])). 0.21/0.52 thf(f9,plain,( 0.21/0.52 ( ! [X28 : $i,X27 : $i] : (((eats @ X28 @ X27) != $true) | ((bird @ X28) != $true) | ($true != (snail @ X27))) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f115,plain,( 0.21/0.52 spl0_7 | spl0_8), 0.21/0.52 inference(avatar_split_clause,[status(thm)],[f108,f113,f110])). 0.21/0.52 thf(f108,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eats @ X0 @ X2) = $true) | ((eats @ X1 @ X3) != $true) | ((wolf @ X0) != $true) | ((plant @ X3) != $true) | ((fox @ X1) != $true) | ((plant @ X2) != $true)) )), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f107,f14])). 0.21/0.52 thf(f107,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X1) != $true) | ((fox @ X1) != $true) | ((plant @ X3) != $true) | ((eats @ X1 @ X3) != $true) | ((eats @ X0 @ X2) = $true) | ((plant @ X2) != $true) | ((wolf @ X0) != $true)) )), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f106,f15])). 0.21/0.52 thf(f15,plain,( 0.21/0.52 ( ! [X21 : $i,X20 : $i] : (((msmaller @ X21 @ X20) = $true) | ((fox @ X21) != $true) | ((wolf @ X20) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f106,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((msmaller @ X1 @ X0) != $true) | ((plant @ X2) != $true) | ((eats @ X0 @ X2) = $true) | ((wolf @ X0) != $true) | ((eats @ X1 @ X3) != $true) | ((plant @ X3) != $true) | ((fox @ X1) != $true) | ((animal @ X1) != $true)) )), 0.21/0.52 inference(subsumption_resolution,[status(thm)],[f105,f30])). 0.21/0.52 thf(f30,plain,( 0.21/0.52 ( ! [X4 : $i] : (((animal @ X4) = $true) | ((wolf @ X4) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f105,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X1) != $true) | ((plant @ X2) != $true) | ((eats @ X0 @ X2) = $true) | ((plant @ X3) != $true) | ((eats @ X1 @ X3) != $true) | ((animal @ X0) != $true) | ((fox @ X1) != $true) | ((msmaller @ X1 @ X0) != $true) | ((wolf @ X0) != $true)) )), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f97])). 0.21/0.52 thf(f97,plain,( 0.21/0.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((fox @ X1) != $true) | ((animal @ X0) != $true) | ((plant @ X3) != $true) | ((plant @ X2) != $true) | ((wolf @ X0) != $true) | ((animal @ X1) != $true) | ((eats @ X0 @ X2) = $true) | ((eats @ X1 @ X3) != $true) | ((msmaller @ X1 @ X0) != $true) | ($true != $true)) )), 0.21/0.52 inference(superposition,[status(thm)],[f18,f8])). 0.21/0.52 thf(f18,plain,( 0.21/0.52 ( ! [X18 : $i,X17 : $i] : (((eats @ X17 @ X18) != $true) | ((fox @ X18) != $true) | ((wolf @ X17) != $true)) )), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f50,plain,( 0.21/0.52 ~spl0_2), 0.21/0.52 inference(avatar_contradiction_clause,[status(thm)],[f49])). 0.21/0.52 thf(f49,plain,( 0.21/0.52 $false | ~spl0_2), 0.21/0.52 inference(trivial_inequality_removal,[status(thm)],[f48])). 0.21/0.52 thf(f48,plain,( 0.21/0.52 ($true != $true) | ~spl0_2), 0.21/0.52 inference(superposition,[status(thm)],[f46,f22])). 0.21/0.52 thf(f22,plain,( 0.21/0.52 ((bird @ a_bird) = $true)), 0.21/0.52 inference(cnf_transformation,[status(thm)],[f7])). 0.21/0.52 thf(f46,plain,( 0.21/0.52 ( ! [X0 : $i] : (((bird @ X0) != $true)) ) | ~spl0_2), 0.21/0.52 inference(avatar_component_clause,[status(thm)],[f45])). 0.21/0.52 % SZS output end Proof for E---3.1_3140569 0.21/0.52 % (3140689)------------------------------ 0.21/0.52 % (3140689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.52 % (3140689)Termination reason: Refutation 0.21/0.52 0.21/0.52 % (3140689)Memory used [KB]: 5884 0.21/0.52 % (3140689)Time elapsed: 0.075 s 0.21/0.52 % (3140689)Instructions burned: 112 (million) 0.21/0.52 % (3140689)------------------------------ 0.21/0.52 % (3140689)------------------------------ 0.21/0.52 % (3140678)Success in time 0.081 s 0.21/0.52 EOF