0.02/0.07 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.07 % Command : run_vampire %s %d THM 0.06/0.25 % Computer : n010.cluster.edu 0.06/0.25 % Model : x86_64 x86_64 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.06/0.25 % Memory : 8042.1875MB 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 0.06/0.25 % CPULimit : 1920 0.06/0.25 % WCLimit : 240 0.06/0.25 % DateTime : Wed Jul 30 02:05:04 EDT 2025 0.06/0.25 % CPUTime : 0.12/0.26 This is a THF_ problem 0.12/0.26 Running higher-order theorem proving 0.12/0.27 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.Q6jd9z0fyQ/E---3.1_7485.p -m 16384 -t 240 0.12/0.28 % (7723)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_7485 for (2399ds/183Mi) 0.12/0.28 % (7727)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_7485 for (2399ds/2Mi) 0.12/0.28 % (7728)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_7485 for (2399ds/275Mi) 0.12/0.28 % (7724)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_7485 for (2399ds/4Mi) 0.12/0.28 % (7729)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_7485 for (2399ds/18Mi) 0.12/0.28 % (7726)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_7485 for (2399ds/2Mi) 0.12/0.28 % (7725)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_7485 for (2399ds/27Mi) 0.12/0.28 % (7727)Instruction limit reached! 0.12/0.28 % (7727)------------------------------ 0.12/0.28 % (7727)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.28 % (7727)Termination reason: Unknown 0.12/0.28 % (7727)Termination phase: shuffling 0.12/0.28 0.12/0.28 % (7727)Memory used [KB]: 1023 0.12/0.28 % (7727)Time elapsed: 0.002 s 0.12/0.28 % (7727)Instructions burned: 2 (million) 0.12/0.28 % (7727)------------------------------ 0.12/0.28 % (7727)------------------------------ 0.12/0.28 % (7726)Instruction limit reached! 0.12/0.28 % (7726)------------------------------ 0.12/0.28 % (7726)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.28 % (7726)Termination reason: Unknown 0.12/0.28 % (7726)Termination phase: Saturation 0.12/0.28 0.12/0.28 % (7726)Memory used [KB]: 5500 0.12/0.28 % (7726)Time elapsed: 0.003 s 0.12/0.28 % (7726)Instructions burned: 3 (million) 0.12/0.28 % (7726)------------------------------ 0.12/0.28 % (7726)------------------------------ 0.12/0.28 % (7724)Instruction limit reached! 0.12/0.28 % (7724)------------------------------ 0.12/0.28 % (7724)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.28 % (7724)Termination reason: Unknown 0.12/0.28 % (7724)Termination phase: Saturation 0.12/0.28 0.12/0.28 % (7724)Memory used [KB]: 5500 0.12/0.28 % (7724)Time elapsed: 0.004 s 0.12/0.28 % (7724)Instructions burned: 5 (million) 0.12/0.28 % (7724)------------------------------ 0.12/0.28 % (7724)------------------------------ 0.12/0.29 % (7729)Instruction limit reached! 0.12/0.29 % (7729)------------------------------ 0.12/0.29 % (7729)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.29 % (7729)Termination reason: Unknown 0.12/0.29 % (7729)Termination phase: Saturation 0.12/0.29 0.12/0.29 % (7729)Memory used [KB]: 5628 0.12/0.29 % (7729)Time elapsed: 0.009 s 0.12/0.29 % (7729)Instructions burned: 20 (million) 0.12/0.29 % (7729)------------------------------ 0.12/0.29 % (7729)------------------------------ 0.12/0.29 % (7736)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_7485 for (2399ds/3Mi) 0.12/0.29 % (7736)Instruction limit reached! 0.12/0.29 % (7736)------------------------------ 0.12/0.29 % (7736)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.29 % (7736)Termination reason: Unknown 0.12/0.29 % (7736)Termination phase: Property scanning 0.12/0.29 0.12/0.29 % (7736)Memory used [KB]: 1023 0.12/0.29 % (7736)Time elapsed: 0.002 s 0.12/0.29 % (7737)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_7485 for (2399ds/37Mi) 0.12/0.29 % (7736)Instructions burned: 3 (million) 0.12/0.29 % (7736)------------------------------ 0.12/0.29 % (7736)------------------------------ 0.12/0.29 % (7738)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_7485 for (2399ds/15Mi) 0.12/0.29 % (7725)Instruction limit reached! 0.12/0.29 % (7725)------------------------------ 0.12/0.29 % (7725)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.29 % (7725)Termination reason: Unknown 0.12/0.29 % (7725)Termination phase: Saturation 0.12/0.29 0.12/0.29 % (7725)Memory used [KB]: 5756 0.12/0.29 % (7725)Time elapsed: 0.013 s 0.12/0.29 % (7725)Instructions burned: 27 (million) 0.12/0.29 % (7725)------------------------------ 0.12/0.29 % (7725)------------------------------ 0.12/0.30 % (7742)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_7485 for (2399ds/3Mi) 0.12/0.30 % (7738)Instruction limit reached! 0.12/0.30 % (7738)------------------------------ 0.12/0.30 % (7738)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.30 % (7738)Termination reason: Unknown 0.12/0.30 % (7738)Termination phase: Saturation 0.12/0.30 0.12/0.30 % (7738)Memory used [KB]: 5628 0.12/0.30 % (7738)Time elapsed: 0.007 s 0.12/0.30 % (7738)Instructions burned: 15 (million) 0.12/0.30 % (7738)------------------------------ 0.12/0.30 % (7738)------------------------------ 0.12/0.30 % (7742)Instruction limit reached! 0.12/0.30 % (7742)------------------------------ 0.12/0.30 % (7742)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.30 % (7742)Termination reason: Unknown 0.12/0.30 % (7742)Termination phase: Preprocessing 3 0.12/0.30 0.12/0.30 % (7742)Memory used [KB]: 1023 0.12/0.30 % (7742)Time elapsed: 0.002 s 0.12/0.30 % (7742)Instructions burned: 3 (million) 0.12/0.30 % (7742)------------------------------ 0.12/0.30 % (7742)------------------------------ 0.12/0.30 % (7744)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_7485 for (2399ds/1041Mi) 0.12/0.30 % (7748)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_7485 for (2399ds/7Mi) 0.12/0.30 % (7737)Instruction limit reached! 0.12/0.30 % (7737)------------------------------ 0.12/0.30 % (7737)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.30 % (7737)Termination reason: Unknown 0.12/0.30 % (7737)Termination phase: Saturation 0.12/0.30 0.12/0.30 % (7737)Memory used [KB]: 5756 0.12/0.30 % (7737)Time elapsed: 0.013 s 0.12/0.30 % (7737)Instructions burned: 38 (million) 0.12/0.30 % (7737)------------------------------ 0.12/0.30 % (7737)------------------------------ 0.12/0.30 % (7748)Instruction limit reached! 0.12/0.30 % (7748)------------------------------ 0.12/0.30 % (7748)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.30 % (7748)Termination reason: Unknown 0.12/0.30 % (7748)Termination phase: Saturation 0.12/0.30 0.12/0.30 % (7748)Memory used [KB]: 1151 0.12/0.30 % (7748)Time elapsed: 0.004 s 0.12/0.30 % (7748)Instructions burned: 7 (million) 0.12/0.30 % (7748)------------------------------ 0.12/0.30 % (7748)------------------------------ 0.12/0.31 % (7750)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_7485 for (2399ds/16Mi) 0.12/0.31 % (7751)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_7485 for (2399ds/3Mi) 0.12/0.31 % (7751)Instruction limit reached! 0.12/0.31 % (7751)------------------------------ 0.12/0.31 % (7751)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.31 % (7751)Termination reason: Unknown 0.12/0.31 % (7751)Termination phase: Saturation 0.12/0.31 0.12/0.31 % (7751)Memory used [KB]: 5500 0.12/0.31 % (7751)Time elapsed: 0.003 s 0.12/0.31 % (7751)Instructions burned: 5 (million) 0.12/0.31 % (7751)------------------------------ 0.12/0.31 % (7751)------------------------------ 0.12/0.31 % (7750)Instruction limit reached! 0.12/0.31 % (7750)------------------------------ 0.12/0.31 % (7750)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.31 % (7750)Termination reason: Unknown 0.12/0.31 % (7750)Termination phase: Saturation 0.12/0.31 0.12/0.31 % (7750)Memory used [KB]: 5756 0.12/0.31 % (7750)Time elapsed: 0.008 s 0.12/0.31 % (7750)Instructions burned: 16 (million) 0.12/0.31 % (7750)------------------------------ 0.12/0.31 % (7750)------------------------------ 0.12/0.31 % (7755)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_7485 for (2399ds/3Mi) 0.12/0.31 % (7756)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_7485 for (2399ds/7Mi) 0.12/0.31 % (7755)Instruction limit reached! 0.12/0.31 % (7755)------------------------------ 0.12/0.31 % (7755)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.31 % (7755)Termination reason: Unknown 0.12/0.31 % (7755)Termination phase: Property scanning 0.12/0.31 0.12/0.31 % (7755)Memory used [KB]: 1023 0.12/0.31 % (7755)Time elapsed: 0.002 s 0.12/0.31 % (7755)Instructions burned: 4 (million) 0.12/0.31 % (7755)------------------------------ 0.12/0.31 % (7755)------------------------------ 0.12/0.32 % (7756)Refutation not found, incomplete strategy 0.12/0.32 % (7756)------------------------------ 0.12/0.32 % (7756)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.32 % (7756)Termination reason: Refutation not found, incomplete strategy 0.12/0.32 0.12/0.32 0.12/0.32 % (7756)Memory used [KB]: 5500 0.12/0.32 % (7756)Time elapsed: 0.003 s 0.12/0.32 % (7756)Instructions burned: 5 (million) 0.12/0.32 % (7756)------------------------------ 0.12/0.32 % (7756)------------------------------ 0.12/0.32 % (7759)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_7485 for (2399ds/3Mi) 0.12/0.32 % (7759)Instruction limit reached! 0.12/0.32 % (7759)------------------------------ 0.12/0.32 % (7759)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.32 % (7759)Termination reason: Unknown 0.12/0.32 % (7759)Termination phase: Property scanning 0.12/0.32 0.12/0.32 % (7759)Memory used [KB]: 1023 0.12/0.32 % (7759)Time elapsed: 0.002 s 0.12/0.32 % (7759)Instructions burned: 4 (million) 0.12/0.32 % (7759)------------------------------ 0.12/0.32 % (7759)------------------------------ 0.12/0.32 % (7763)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_7485 for (2399ds/4Mi) 0.12/0.32 % (7723)First to succeed. 0.12/0.32 % (7764)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_7485 for (2399ds/18Mi) 0.12/0.32 % (7763)Instruction limit reached! 0.12/0.32 % (7763)------------------------------ 0.12/0.32 % (7763)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.32 % (7763)Termination reason: Unknown 0.12/0.32 % (7763)Termination phase: Saturation 0.12/0.32 0.12/0.32 % (7763)Memory used [KB]: 5500 0.12/0.32 % (7763)Time elapsed: 0.003 s 0.12/0.32 % (7763)Instructions burned: 4 (million) 0.12/0.32 % (7763)------------------------------ 0.12/0.32 % (7763)------------------------------ 0.12/0.33 % (7767)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_7485 for (2399ds/710Mi) 0.12/0.33 % (7728)Also succeeded, but the first one will report. 0.12/0.33 % (7723)Refutation found. Thanks to Tanya! 0.12/0.33 % SZS status Theorem for E---3.1_7485 0.12/0.33 % SZS output start Proof for E---3.1_7485 0.12/0.33 thf(func_def_0, type, eats: $i > $i > $o). 0.12/0.33 thf(func_def_1, type, grain: $i > $o). 0.12/0.33 thf(func_def_2, type, animal: $i > $o). 0.12/0.33 thf(func_def_3, type, snail: $i > $o). 0.12/0.33 thf(func_def_4, type, sf: $i > $i). 0.12/0.33 thf(func_def_5, type, plant: $i > $o). 0.12/0.33 thf(func_def_6, type, bird: $i > $o). 0.12/0.33 thf(func_def_7, type, wolf: $i > $o). 0.12/0.33 thf(func_def_8, type, fox: $i > $o). 0.12/0.33 thf(func_def_9, type, msmaller: $i > $i > $o). 0.12/0.33 thf(f481,plain,( 0.12/0.33 $false), 0.12/0.33 inference(avatar_sat_refutation,[],[f87,f90,f146,f172,f185,f216,f219,f288,f314,f417,f435,f480])). 0.12/0.33 thf(f480,plain,( 0.12/0.33 spl0_10 | spl0_9 | ~spl0_6), 0.12/0.33 inference(avatar_split_clause,[],[f479,f74,f117,f120])). 0.12/0.33 thf(f120,plain,( 0.12/0.33 spl0_10 <=> ! [X2,X1] : (($true != (plant @ X2)) | ((snail @ X1) != $true) | ($true != (eats @ X1 @ X2)))), 0.12/0.33 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 0.12/0.33 thf(f117,plain,( 0.12/0.33 spl0_9 <=> ! [X0] : ((bird @ X0) != $true)), 0.12/0.33 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 0.12/0.33 thf(f74,plain,( 0.12/0.33 spl0_6 <=> ! [X2,X0,X3] : (($true != (animal @ X2)) | ($true != (msmaller @ X2 @ X0)) | ((plant @ X3) != $true) | ($true != (eats @ X2 @ X3)) | ((bird @ X0) != $true) | ($true = (eats @ X0 @ X2)))), 0.12/0.33 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 0.12/0.33 thf(f479,plain,( 0.12/0.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (plant @ X2)) | ((bird @ X0) != $true) | ($true != (eats @ X1 @ X2)) | ((snail @ X1) != $true)) ) | ~spl0_6), 0.12/0.33 inference(subsumption_resolution,[],[f478,f16])). 0.12/0.33 thf(f16,plain,( 0.12/0.33 ( ! [X14 : $i,X15 : $i] : (($true = (msmaller @ X14 @ X15)) | ($true != (snail @ X14)) | ($true != (bird @ X15))) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f7,plain,( 0.12/0.33 ! [X0] : (((grain @ X0) != $true) | ((plant @ X0) = $true)) & ! [X1,X2,X3] : (((eats @ X2 @ X1) != $true) | ($true != (animal @ X3)) | ((eats @ X3 @ X2) != $true) | ((grain @ X1) != $true) | ($true != (animal @ X2))) & ((fox @ a_fox) = $true) & ! [X4] : (((eats @ X4 @ (sf @ X4)) = $true) | ($true != (snail @ X4))) & ((snail @ a_snail) = $true) & ! [X5] : (((snail @ X5) != $true) | ($true = (plant @ (sf @ X5)))) & ! [X6,X7] : (($true != (bird @ X7)) | ((snail @ X6) != $true) | ($true != (eats @ X7 @ X6))) & ! [X8,X9] : (((fox @ X9) != $true) | ($true != (bird @ X8)) | ((msmaller @ X8 @ X9) = $true)) & ! [X10] : (((animal @ X10) = $true) | ($true != (snail @ X10))) & ! [X11,X12] : (($true != (wolf @ X11)) | ($true != (eats @ X11 @ X12)) | ((fox @ X12) != $true)) & ! [X13] : (($true = (animal @ X13)) | ((wolf @ X13) != $true)) & ! [X14,X15] : (($true != (snail @ X14)) | ($true != (bird @ X15)) | ($true = (msmaller @ X14 @ X15))) & ! [X16] : (((fox @ X16) != $true) | ((animal @ X16) = $true)) & ! [X17,X18] : (($true = (msmaller @ X18 @ X17)) | ($true != (wolf @ X17)) | ($true != (fox @ X18))) & ((grain @ a_grain) = $true) & ! [X19,X20,X21,X22] : (((animal @ X20) != $true) | ((plant @ X19) != $true) | ((animal @ X22) != $true) | ($true != (eats @ X20 @ X19)) | ($true = (eats @ X22 @ X21)) | ((plant @ X21) != $true) | ((eats @ X22 @ X20) = $true) | ($true != (msmaller @ X20 @ X22))) & ! [X23,X24] : (($true != (wolf @ X23)) | ($true != (eats @ X23 @ X24)) | ((grain @ X24) != $true)) & ((bird @ a_bird) = $true) & ((wolf @ a_wolf) = $true) & ! [X25] : (((animal @ X25) = $true) | ((bird @ X25) != $true))), 0.12/0.33 inference(rectify,[],[f6])). 0.12/0.33 thf(f6,plain,( 0.12/0.33 ! [X10] : (($true != (grain @ X10)) | ($true = (plant @ X10))) & ! [X6,X4,X5] : (((eats @ X4 @ X6) != $true) | ((animal @ X5) != $true) | ($true != (eats @ X5 @ X4)) | ((grain @ X6) != $true) | ((animal @ X4) != $true)) & ((fox @ a_fox) = $true) & ! [X7] : (((eats @ X7 @ (sf @ X7)) = $true) | ((snail @ X7) != $true)) & ((snail @ a_snail) = $true) & ! [X22] : (($true != (snail @ X22)) | ((plant @ (sf @ X22)) = $true)) & ! [X24,X23] : (($true != (bird @ X23)) | ((snail @ X24) != $true) | ($true != (eats @ X23 @ X24))) & ! [X0,X1] : (((fox @ X1) != $true) | ((bird @ X0) != $true) | ($true = (msmaller @ X0 @ X1))) & ! [X17] : (((animal @ X17) = $true) | ($true != (snail @ X17))) & ! [X21,X20] : (((wolf @ X21) != $true) | ($true != (eats @ X21 @ X20)) | ($true != (fox @ X20))) & ! [X25] : (((animal @ X25) = $true) | ((wolf @ X25) != $true)) & ! [X3,X2] : (((snail @ X3) != $true) | ((bird @ X2) != $true) | ((msmaller @ X3 @ X2) = $true)) & ! [X18] : (($true != (fox @ X18)) | ($true = (animal @ X18))) & ! [X12,X11] : (($true = (msmaller @ X11 @ X12)) | ((wolf @ X12) != $true) | ($true != (fox @ X11))) & ((grain @ a_grain) = $true) & ! [X14,X13,X15,X16] : (($true != (animal @ X13)) | ((plant @ X14) != $true) | ((animal @ X16) != $true) | ((eats @ X13 @ X14) != $true) | ($true = (eats @ X16 @ X15)) | ($true != (plant @ X15)) | ((eats @ X16 @ X13) = $true) | ((msmaller @ X13 @ X16) != $true)) & ! [X8,X9] : (($true != (wolf @ X8)) | ($true != (eats @ X8 @ X9)) | ($true != (grain @ X9))) & ((bird @ a_bird) = $true) & ((wolf @ a_wolf) = $true) & ! [X19] : (($true = (animal @ X19)) | ($true != (bird @ X19)))), 0.12/0.33 inference(flattening,[],[f5])). 0.12/0.33 thf(f5,plain,( 0.12/0.33 ~~(! [X0,X1] : (~((bird @ X0) = $true) | ($true = (msmaller @ X0 @ X1)) | ~((fox @ X1) = $true)) & ! [X2,X3] : (~((snail @ X3) = $true) | ((msmaller @ X3 @ X2) = $true) | ~((bird @ X2) = $true)) & ! [X4,X5,X6] : (~((animal @ X4) = $true) | ~((animal @ X5) = $true) | ~($true = (eats @ X5 @ X4)) | ~((grain @ X6) = $true) | ~((eats @ X4 @ X6) = $true)) & ! [X7] : (~((snail @ X7) = $true) | ((eats @ X7 @ (sf @ X7)) = $true)) & ! [X8,X9] : (~($true = (wolf @ X8)) | ~($true = (eats @ X8 @ X9)) | ~($true = (grain @ X9))) & ((wolf @ a_wolf) = $true) & ! [X10] : (~($true = (grain @ X10)) | ($true = (plant @ X10))) & ((grain @ a_grain) = $true) & ((bird @ a_bird) = $true) & ((snail @ a_snail) = $true) & ! [X11,X12] : (~($true = (fox @ X11)) | ~((wolf @ X12) = $true) | ($true = (msmaller @ X11 @ X12))) & ! [X13,X14,X15,X16] : (~((plant @ X14) = $true) | ~($true = (animal @ X13)) | ~($true = (plant @ X15)) | ((eats @ X16 @ X13) = $true) | ~((msmaller @ X13 @ X16) = $true) | ($true = (eats @ X16 @ X15)) | ~((eats @ X13 @ X14) = $true) | ~((animal @ X16) = $true)) & ! [X17] : (((animal @ X17) = $true) | ~($true = (snail @ X17))) & ! [X18] : (($true = (animal @ X18)) | ~($true = (fox @ X18))) & ! [X19] : (~($true = (bird @ X19)) | ($true = (animal @ X19))) & ((fox @ a_fox) = $true) & ! [X20,X21] : (~($true = (fox @ X20)) | ~($true = (eats @ X21 @ X20)) | ~((wolf @ X21) = $true)) & ! [X22] : (~($true = (snail @ X22)) | ((plant @ (sf @ X22)) = $true)) & ! [X23,X24] : (~((snail @ X24) = $true) | ~($true = (bird @ X23)) | ~($true = (eats @ X23 @ X24))) & ! [X25] : (((animal @ X25) = $true) | ~((wolf @ X25) = $true)))), 0.12/0.33 inference(fool_elimination,[],[f4])). 0.12/0.33 thf(f4,plain,( 0.12/0.33 ~~(! [X0,X1] : (~(bird @ X0) | (msmaller @ X0 @ X1) | ~(fox @ X1)) & ! [X2,X3] : (~(snail @ X3) | (msmaller @ X3 @ X2) | ~(bird @ X2)) & ! [X4,X5,X6] : (~(animal @ X4) | ~(animal @ X5) | ~(eats @ X5 @ X4) | ~(grain @ X6) | ~(eats @ X4 @ X6)) & ! [X7] : (~(snail @ X7) | (eats @ X7 @ (sf @ X7))) & ! [X8,X9] : (~(wolf @ X8) | ~(eats @ X8 @ X9) | ~(grain @ X9)) & (wolf @ a_wolf) & ! [X10] : (~(grain @ X10) | (plant @ X10)) & (grain @ a_grain) & (bird @ a_bird) & (snail @ a_snail) & ! [X11,X12] : (~(fox @ X11) | ~(wolf @ X12) | (msmaller @ X11 @ X12)) & ! [X13,X14,X15,X16] : (~(plant @ X14) | ~(animal @ X13) | ~(plant @ X15) | (eats @ X16 @ X13) | ~(msmaller @ X13 @ X16) | (eats @ X16 @ X15) | ~(eats @ X13 @ X14) | ~(animal @ X16)) & ! [X17] : ((animal @ X17) | ~(snail @ X17)) & ! [X18] : ((animal @ X18) | ~(fox @ X18)) & ! [X19] : (~(bird @ X19) | (animal @ X19)) & (fox @ a_fox) & ! [X20,X21] : (~(fox @ X20) | ~(eats @ X21 @ X20) | ~(wolf @ X21)) & ! [X22] : (~(snail @ X22) | (plant @ (sf @ X22))) & ! [X23,X24] : (~(snail @ X24) | ~(bird @ X23) | ~(eats @ X23 @ X24)) & ! [X25] : ((animal @ X25) | ~(wolf @ X25)))), 0.12/0.33 inference(rectify,[],[f2])). 0.12/0.33 thf(f2,negated_conjecture,( 0.12/0.33 ~~(! [X2,X3] : (~(bird @ X2) | (msmaller @ X2 @ X3) | ~(fox @ X3)) & ! [X2,X1] : (~(snail @ X1) | (msmaller @ X1 @ X2) | ~(bird @ X2)) & ! [X7,X6,X5] : (~(animal @ X7) | ~(animal @ X6) | ~(eats @ X6 @ X7) | ~(grain @ X5) | ~(eats @ X7 @ X5)) & ! [X1] : (~(snail @ X1) | (eats @ X1 @ (sf @ X1))) & ! [X4,X5] : (~(wolf @ X4) | ~(eats @ X4 @ X5) | ~(grain @ X5)) & (wolf @ a_wolf) & ! [X0] : (~(grain @ X0) | (plant @ X0)) & (grain @ a_grain) & (bird @ a_bird) & (snail @ a_snail) & ! [X3,X4] : (~(fox @ X3) | ~(wolf @ X4) | (msmaller @ X3 @ X4)) & ! [X1,X9,X8,X6] : (~(plant @ X9) | ~(animal @ X1) | ~(plant @ X8) | (eats @ X6 @ X1) | ~(msmaller @ X1 @ X6) | (eats @ X6 @ X8) | ~(eats @ X1 @ X9) | ~(animal @ X6)) & ! [X0] : ((animal @ X0) | ~(snail @ X0)) & ! [X0] : ((animal @ X0) | ~(fox @ X0)) & ! [X0] : (~(bird @ X0) | (animal @ X0)) & (fox @ a_fox) & ! [X3,X4] : (~(fox @ X3) | ~(eats @ X4 @ X3) | ~(wolf @ X4)) & ! [X1] : (~(snail @ X1) | (plant @ (sf @ X1))) & ! [X2,X1] : (~(snail @ X1) | ~(bird @ X2) | ~(eats @ X2 @ X1)) & ! [X0] : ((animal @ X0) | ~(wolf @ X0)))), 0.12/0.33 inference(negated_conjecture,[],[f1])). 0.12/0.33 thf(f1,conjecture,( 0.12/0.33 ~(! [X2,X3] : (~(bird @ X2) | (msmaller @ X2 @ X3) | ~(fox @ X3)) & ! [X2,X1] : (~(snail @ X1) | (msmaller @ X1 @ X2) | ~(bird @ X2)) & ! [X7,X6,X5] : (~(animal @ X7) | ~(animal @ X6) | ~(eats @ X6 @ X7) | ~(grain @ X5) | ~(eats @ X7 @ X5)) & ! [X1] : (~(snail @ X1) | (eats @ X1 @ (sf @ X1))) & ! [X4,X5] : (~(wolf @ X4) | ~(eats @ X4 @ X5) | ~(grain @ X5)) & (wolf @ a_wolf) & ! [X0] : (~(grain @ X0) | (plant @ X0)) & (grain @ a_grain) & (bird @ a_bird) & (snail @ a_snail) & ! [X3,X4] : (~(fox @ X3) | ~(wolf @ X4) | (msmaller @ X3 @ X4)) & ! [X1,X9,X8,X6] : (~(plant @ X9) | ~(animal @ X1) | ~(plant @ X8) | (eats @ X6 @ X1) | ~(msmaller @ X1 @ X6) | (eats @ X6 @ X8) | ~(eats @ X1 @ X9) | ~(animal @ X6)) & ! [X0] : ((animal @ X0) | ~(snail @ X0)) & ! [X0] : ((animal @ X0) | ~(fox @ X0)) & ! [X0] : (~(bird @ X0) | (animal @ X0)) & (fox @ a_fox) & ! [X3,X4] : (~(fox @ X3) | ~(eats @ X4 @ X3) | ~(wolf @ X4)) & ! [X1] : (~(snail @ X1) | (plant @ (sf @ X1))) & ! [X2,X1] : (~(snail @ X1) | ~(bird @ X2) | ~(eats @ X2 @ X1)) & ! [X0] : ((animal @ X0) | ~(wolf @ X0)))), 0.12/0.33 file('/export/starexec/sandbox2/tmp/tmp.Q6jd9z0fyQ/E---3.1_7485.p',cPUZ031_2)). 0.12/0.33 thf(f478,plain,( 0.12/0.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (plant @ X2)) | ((bird @ X0) != $true) | ((snail @ X1) != $true) | ($true != (eats @ X1 @ X2)) | ($true != (msmaller @ X1 @ X0))) ) | ~spl0_6), 0.12/0.33 inference(subsumption_resolution,[],[f463,f19])). 0.12/0.33 thf(f19,plain,( 0.12/0.33 ( ! [X10 : $i] : (((animal @ X10) = $true) | ($true != (snail @ X10))) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f463,plain,( 0.12/0.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ((animal @ X1) != $true) | ((bird @ X0) != $true) | ($true != (msmaller @ X1 @ X0)) | ((snail @ X1) != $true) | ($true != (plant @ X2))) ) | ~spl0_6), 0.12/0.33 inference(trivial_inequality_removal,[],[f462])). 0.12/0.33 thf(f462,plain,( 0.12/0.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (plant @ X2)) | ((bird @ X0) != $true) | ($true != (msmaller @ X1 @ X0)) | ($true != (eats @ X1 @ X2)) | ((snail @ X1) != $true) | ($true != $true) | ((animal @ X1) != $true)) ) | ~spl0_6), 0.12/0.33 inference(duplicate_literal_removal,[],[f454])). 0.12/0.33 thf(f454,plain,( 0.12/0.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((snail @ X1) != $true) | ((bird @ X0) != $true) | ($true != (eats @ X1 @ X2)) | ($true != (plant @ X2)) | ($true != (msmaller @ X1 @ X0)) | ((animal @ X1) != $true) | ((bird @ X0) != $true) | ($true != $true)) ) | ~spl0_6), 0.12/0.33 inference(superposition,[],[f21,f75])). 0.12/0.33 thf(f75,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i] : (($true = (eats @ X0 @ X2)) | ((plant @ X3) != $true) | ($true != (eats @ X2 @ X3)) | ($true != (animal @ X2)) | ($true != (msmaller @ X2 @ X0)) | ((bird @ X0) != $true)) ) | ~spl0_6), 0.12/0.33 inference(avatar_component_clause,[],[f74])). 0.12/0.33 thf(f21,plain,( 0.12/0.33 ( ! [X6 : $i,X7 : $i] : (($true != (eats @ X7 @ X6)) | ((snail @ X6) != $true) | ($true != (bird @ X7))) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f435,plain,( 0.12/0.33 spl0_15 | spl0_6 | spl0_7 | ~spl0_24), 0.12/0.33 inference(avatar_split_clause,[],[f434,f415,f79,f74,f183])). 0.12/0.33 thf(f183,plain,( 0.12/0.33 spl0_15 <=> ! [X1] : ((plant @ X1) != $true)), 0.12/0.33 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 0.12/0.33 thf(f79,plain,( 0.12/0.33 spl0_7 <=> ! [X1] : ((grain @ X1) != $true)), 0.12/0.33 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 0.12/0.33 thf(f415,plain,( 0.12/0.33 spl0_24 <=> ! [X2,X0,X3] : (((bird @ X0) != $true) | ($true != (grain @ X3)) | ($true != (eats @ X0 @ X3)) | ($true != (eats @ X0 @ X2)) | ($true != (plant @ X2)))), 0.12/0.33 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])). 0.12/0.33 thf(f434,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (plant @ X2)) | ((grain @ X1) != $true) | ($true != (msmaller @ X3 @ X0)) | ($true != (animal @ X3)) | ($true = (eats @ X0 @ X3)) | ((bird @ X0) != $true) | ((plant @ X4) != $true) | ($true != (eats @ X3 @ X4))) ) | ~spl0_24), 0.12/0.33 inference(subsumption_resolution,[],[f433,f27])). 0.12/0.33 thf(f27,plain,( 0.12/0.33 ( ! [X0 : $i] : (((plant @ X0) = $true) | ((grain @ X0) != $true)) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f433,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((bird @ X0) != $true) | ($true != (msmaller @ X3 @ X0)) | ((plant @ X1) != $true) | ((grain @ X1) != $true) | ($true != (eats @ X3 @ X4)) | ($true != (animal @ X3)) | ($true = (eats @ X0 @ X3)) | ($true != (plant @ X2)) | ((plant @ X4) != $true)) ) | ~spl0_24), 0.12/0.33 inference(subsumption_resolution,[],[f432,f8])). 0.12/0.33 thf(f8,plain,( 0.12/0.33 ( ! [X25 : $i] : (((animal @ X25) = $true) | ((bird @ X25) != $true)) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f432,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((plant @ X4) != $true) | ($true != (msmaller @ X3 @ X0)) | ((animal @ X0) != $true) | ($true != (plant @ X2)) | ($true = (eats @ X0 @ X3)) | ((grain @ X1) != $true) | ((plant @ X1) != $true) | ($true != (eats @ X3 @ X4)) | ($true != (animal @ X3)) | ((bird @ X0) != $true)) ) | ~spl0_24), 0.12/0.33 inference(subsumption_resolution,[],[f427,f12])). 0.12/0.33 thf(f12,plain,( 0.12/0.33 ( ! [X21 : $i,X19 : $i,X22 : $i,X20 : $i] : (($true = (eats @ X22 @ X21)) | ((animal @ X22) != $true) | ($true != (msmaller @ X20 @ X22)) | ($true != (eats @ X20 @ X19)) | ((plant @ X21) != $true) | ((eats @ X22 @ X20) = $true) | ((animal @ X20) != $true) | ((plant @ X19) != $true)) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f427,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((plant @ X1) != $true) | ($true != (animal @ X3)) | ((bird @ X0) != $true) | ($true != (msmaller @ X3 @ X0)) | ((grain @ X1) != $true) | ($true != (eats @ X3 @ X4)) | ($true != (plant @ X2)) | ($true = (eats @ X0 @ X3)) | ($true != (eats @ X0 @ X2)) | ((animal @ X0) != $true) | ((plant @ X4) != $true)) ) | ~spl0_24), 0.12/0.33 inference(trivial_inequality_removal,[],[f423])). 0.12/0.33 thf(f423,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((animal @ X0) != $true) | ($true != (eats @ X0 @ X2)) | ($true = (eats @ X0 @ X3)) | ($true != (eats @ X3 @ X4)) | ($true != (animal @ X3)) | ((grain @ X1) != $true) | ((bird @ X0) != $true) | ($true != (plant @ X2)) | ($true != $true) | ((plant @ X1) != $true) | ($true != (msmaller @ X3 @ X0)) | ((plant @ X4) != $true)) ) | ~spl0_24), 0.12/0.33 inference(superposition,[],[f416,f12])). 0.12/0.33 thf(f416,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i] : (($true != (eats @ X0 @ X3)) | ($true != (grain @ X3)) | ((bird @ X0) != $true) | ($true != (eats @ X0 @ X2)) | ($true != (plant @ X2))) ) | ~spl0_24), 0.12/0.33 inference(avatar_component_clause,[],[f415])). 0.12/0.33 thf(f417,plain,( 0.12/0.33 spl0_24 | spl0_20 | ~spl0_14), 0.12/0.33 inference(avatar_split_clause,[],[f413,f180,f306,f415])). 0.12/0.33 thf(f306,plain,( 0.12/0.33 spl0_20 <=> ! [X1] : ((fox @ X1) != $true)), 0.12/0.33 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])). 0.12/0.33 thf(f180,plain,( 0.12/0.33 spl0_14 <=> ! [X2,X0,X3] : (($true != (msmaller @ X2 @ X0)) | ($true != (animal @ X2)) | ($true != (eats @ X2 @ X3)) | ((plant @ X3) != $true) | ((fox @ X0) != $true) | ($true = (eats @ X0 @ X2)))), 0.12/0.33 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])). 0.12/0.33 thf(f413,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ($true != (plant @ X2)) | ($true != (eats @ X0 @ X2)) | ($true != (eats @ X0 @ X3)) | ((fox @ X1) != $true) | ($true != (grain @ X3))) ) | ~spl0_14), 0.12/0.33 inference(subsumption_resolution,[],[f410,f8])). 0.12/0.33 thf(f410,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X0) != $true) | ((fox @ X1) != $true) | ($true != (eats @ X0 @ X3)) | ($true != (grain @ X3)) | ($true != (plant @ X2)) | ($true != (eats @ X0 @ X2)) | ((bird @ X0) != $true)) ) | ~spl0_14), 0.12/0.33 inference(trivial_inequality_removal,[],[f409])). 0.12/0.33 thf(f409,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (eats @ X0 @ X2)) | ($true != (eats @ X0 @ X3)) | ((animal @ X0) != $true) | ((bird @ X0) != $true) | ((fox @ X1) != $true) | ($true != (grain @ X3)) | ($true != (plant @ X2)) | ($true != $true)) ) | ~spl0_14), 0.12/0.33 inference(duplicate_literal_removal,[],[f406])). 0.12/0.33 thf(f406,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X0) != $true) | ($true != (plant @ X2)) | ($true != (grain @ X3)) | ((fox @ X1) != $true) | ($true != (eats @ X0 @ X2)) | ((fox @ X1) != $true) | ((bird @ X0) != $true) | ($true != $true) | ($true != (eats @ X0 @ X3))) ) | ~spl0_14), 0.12/0.33 inference(superposition,[],[f344,f20])). 0.12/0.33 thf(f20,plain,( 0.12/0.33 ( ! [X8 : $i,X9 : $i] : (((msmaller @ X8 @ X9) = $true) | ($true != (bird @ X8)) | ((fox @ X9) != $true)) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f344,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (msmaller @ X1 @ X0)) | ((plant @ X3) != $true) | ($true != (eats @ X1 @ X3)) | ((fox @ X0) != $true) | ((animal @ X1) != $true) | ((grain @ X2) != $true) | ($true != (eats @ X1 @ X2))) ) | ~spl0_14), 0.12/0.33 inference(subsumption_resolution,[],[f343,f15])). 0.12/0.33 thf(f15,plain,( 0.12/0.33 ( ! [X16 : $i] : (((animal @ X16) = $true) | ((fox @ X16) != $true)) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f343,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (eats @ X1 @ X3)) | ((animal @ X0) != $true) | ((fox @ X0) != $true) | ((grain @ X2) != $true) | ((animal @ X1) != $true) | ((plant @ X3) != $true) | ($true != (eats @ X1 @ X2)) | ($true != (msmaller @ X1 @ X0))) ) | ~spl0_14), 0.12/0.33 inference(trivial_inequality_removal,[],[f342])). 0.12/0.33 thf(f342,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ((animal @ X0) != $true) | ((animal @ X1) != $true) | ((fox @ X0) != $true) | ((grain @ X2) != $true) | ($true != (msmaller @ X1 @ X0)) | ((plant @ X3) != $true) | ($true != (eats @ X1 @ X3)) | ($true != $true)) ) | ~spl0_14), 0.12/0.33 inference(duplicate_literal_removal,[],[f329])). 0.12/0.33 thf(f329,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (msmaller @ X1 @ X0)) | ((animal @ X1) != $true) | ($true != (eats @ X1 @ X3)) | ($true != (eats @ X1 @ X2)) | ((animal @ X1) != $true) | ((fox @ X0) != $true) | ((plant @ X3) != $true) | ((grain @ X2) != $true) | ($true != $true) | ((animal @ X0) != $true)) ) | ~spl0_14), 0.12/0.33 inference(superposition,[],[f26,f181])). 0.12/0.33 thf(f181,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i] : (($true = (eats @ X0 @ X2)) | ($true != (eats @ X2 @ X3)) | ((plant @ X3) != $true) | ($true != (animal @ X2)) | ($true != (msmaller @ X2 @ X0)) | ((fox @ X0) != $true)) ) | ~spl0_14), 0.12/0.33 inference(avatar_component_clause,[],[f180])). 0.12/0.33 thf(f26,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eats @ X3 @ X2) != $true) | ($true != (animal @ X2)) | ($true != (animal @ X3)) | ((grain @ X1) != $true) | ((eats @ X2 @ X1) != $true)) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f314,plain,( 0.12/0.33 ~spl0_20), 0.12/0.33 inference(avatar_contradiction_clause,[],[f313])). 0.12/0.33 thf(f313,plain,( 0.12/0.33 $false | ~spl0_20), 0.12/0.33 inference(trivial_inequality_removal,[],[f312])). 0.12/0.33 thf(f312,plain,( 0.12/0.33 ($true != $true) | ~spl0_20), 0.12/0.33 inference(superposition,[],[f307,f25])). 0.12/0.33 thf(f25,plain,( 0.12/0.33 ((fox @ a_fox) = $true)), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f307,plain,( 0.12/0.33 ( ! [X1 : $i] : (((fox @ X1) != $true)) ) | ~spl0_20), 0.12/0.33 inference(avatar_component_clause,[],[f306])). 0.12/0.33 thf(f288,plain,( 0.12/0.33 spl0_7 | ~spl0_15), 0.12/0.33 inference(avatar_split_clause,[],[f286,f183,f79])). 0.12/0.33 thf(f286,plain,( 0.12/0.33 ( ! [X0 : $i] : (((grain @ X0) != $true)) ) | ~spl0_15), 0.12/0.33 inference(trivial_inequality_removal,[],[f284])). 0.12/0.33 thf(f284,plain,( 0.12/0.33 ( ! [X0 : $i] : (((grain @ X0) != $true) | ($true != $true)) ) | ~spl0_15), 0.12/0.33 inference(superposition,[],[f184,f27])). 0.12/0.33 thf(f184,plain,( 0.12/0.33 ( ! [X1 : $i] : (((plant @ X1) != $true)) ) | ~spl0_15), 0.12/0.33 inference(avatar_component_clause,[],[f183])). 0.12/0.33 thf(f219,plain,( 0.12/0.33 ~spl0_12), 0.12/0.33 inference(avatar_contradiction_clause,[],[f218])). 0.12/0.33 thf(f218,plain,( 0.12/0.33 $false | ~spl0_12), 0.12/0.33 inference(trivial_inequality_removal,[],[f217])). 0.12/0.33 thf(f217,plain,( 0.12/0.33 ($true != $true) | ~spl0_12), 0.12/0.33 inference(superposition,[],[f132,f9])). 0.12/0.33 thf(f9,plain,( 0.12/0.33 ((wolf @ a_wolf) = $true)), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f132,plain,( 0.12/0.33 ( ! [X0 : $i] : (((wolf @ X0) != $true)) ) | ~spl0_12), 0.12/0.33 inference(avatar_component_clause,[],[f131])). 0.12/0.33 thf(f131,plain,( 0.12/0.33 spl0_12 <=> ! [X0] : ((wolf @ X0) != $true)), 0.12/0.33 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 0.12/0.33 thf(f216,plain,( 0.12/0.33 spl0_12 | spl0_11 | ~spl0_4), 0.12/0.33 inference(avatar_split_clause,[],[f215,f66,f128,f131])). 0.12/0.33 thf(f128,plain,( 0.12/0.33 spl0_11 <=> ! [X2,X1] : (((fox @ X1) != $true) | ($true != (plant @ X2)) | ($true != (eats @ X1 @ X2)))), 0.12/0.33 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 0.12/0.33 thf(f66,plain,( 0.12/0.33 spl0_4 <=> ! [X2,X0,X3] : (((wolf @ X0) != $true) | ($true != (msmaller @ X2 @ X0)) | ($true != (animal @ X2)) | ($true = (eats @ X0 @ X2)) | ($true != (eats @ X2 @ X3)) | ((plant @ X3) != $true))), 0.12/0.33 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 0.12/0.33 thf(f215,plain,( 0.12/0.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((wolf @ X0) != $true) | ($true != (eats @ X1 @ X2)) | ($true != (plant @ X2)) | ((fox @ X1) != $true)) ) | ~spl0_4), 0.12/0.33 inference(subsumption_resolution,[],[f214,f15])). 0.12/0.33 thf(f214,plain,( 0.12/0.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((animal @ X1) != $true) | ($true != (plant @ X2)) | ($true != (eats @ X1 @ X2)) | ((fox @ X1) != $true) | ((wolf @ X0) != $true)) ) | ~spl0_4), 0.12/0.33 inference(subsumption_resolution,[],[f201,f14])). 0.12/0.33 thf(f14,plain,( 0.12/0.33 ( ! [X18 : $i,X17 : $i] : (($true = (msmaller @ X18 @ X17)) | ($true != (wolf @ X17)) | ($true != (fox @ X18))) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f201,plain,( 0.12/0.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((wolf @ X0) != $true) | ($true != (plant @ X2)) | ((fox @ X1) != $true) | ($true != (eats @ X1 @ X2)) | ($true != (msmaller @ X1 @ X0)) | ((animal @ X1) != $true)) ) | ~spl0_4), 0.12/0.33 inference(trivial_inequality_removal,[],[f200])). 0.12/0.33 thf(f200,plain,( 0.12/0.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ($true != (plant @ X2)) | ((fox @ X1) != $true) | ((wolf @ X0) != $true) | ($true != (msmaller @ X1 @ X0)) | ((animal @ X1) != $true) | ($true != $true)) ) | ~spl0_4), 0.12/0.33 inference(duplicate_literal_removal,[],[f193])). 0.12/0.33 thf(f193,plain,( 0.12/0.33 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ($true != (msmaller @ X1 @ X0)) | ((fox @ X1) != $true) | ($true != (plant @ X2)) | ((animal @ X1) != $true) | ($true != $true) | ((wolf @ X0) != $true) | ((wolf @ X0) != $true)) ) | ~spl0_4), 0.12/0.33 inference(superposition,[],[f18,f67])). 0.12/0.33 thf(f67,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i] : (($true = (eats @ X0 @ X2)) | ($true != (animal @ X2)) | ($true != (eats @ X2 @ X3)) | ((wolf @ X0) != $true) | ($true != (msmaller @ X2 @ X0)) | ((plant @ X3) != $true)) ) | ~spl0_4), 0.12/0.33 inference(avatar_component_clause,[],[f66])). 0.12/0.33 thf(f18,plain,( 0.12/0.33 ( ! [X11 : $i,X12 : $i] : (($true != (eats @ X11 @ X12)) | ((fox @ X12) != $true) | ($true != (wolf @ X11))) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f185,plain,( 0.12/0.33 spl0_14 | spl0_15 | ~spl0_11), 0.12/0.33 inference(avatar_split_clause,[],[f178,f128,f183,f180])). 0.12/0.33 thf(f178,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (msmaller @ X2 @ X0)) | ($true = (eats @ X0 @ X2)) | ((fox @ X0) != $true) | ((plant @ X3) != $true) | ($true != (eats @ X2 @ X3)) | ((plant @ X1) != $true) | ($true != (animal @ X2))) ) | ~spl0_11), 0.12/0.33 inference(subsumption_resolution,[],[f177,f15])). 0.12/0.33 thf(f177,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (animal @ X2)) | ($true = (eats @ X0 @ X2)) | ((fox @ X0) != $true) | ((plant @ X1) != $true) | ((animal @ X0) != $true) | ((plant @ X3) != $true) | ($true != (msmaller @ X2 @ X0)) | ($true != (eats @ X2 @ X3))) ) | ~spl0_11), 0.12/0.33 inference(trivial_inequality_removal,[],[f176])). 0.12/0.33 thf(f176,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((plant @ X3) != $true) | ($true = (eats @ X0 @ X2)) | ($true != $true) | ((fox @ X0) != $true) | ($true != (msmaller @ X2 @ X0)) | ((animal @ X0) != $true) | ((plant @ X1) != $true) | ($true != (animal @ X2)) | ($true != (eats @ X2 @ X3))) ) | ~spl0_11), 0.12/0.33 inference(duplicate_literal_removal,[],[f174])). 0.12/0.33 thf(f174,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((plant @ X1) != $true) | ($true = (eats @ X0 @ X2)) | ((animal @ X0) != $true) | ((plant @ X3) != $true) | ($true != (msmaller @ X2 @ X0)) | ((plant @ X1) != $true) | ($true != (animal @ X2)) | ($true != $true) | ($true != (eats @ X2 @ X3)) | ((fox @ X0) != $true)) ) | ~spl0_11), 0.12/0.33 inference(superposition,[],[f129,f12])). 0.12/0.33 thf(f129,plain,( 0.12/0.33 ( ! [X2 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ((fox @ X1) != $true) | ($true != (plant @ X2))) ) | ~spl0_11), 0.12/0.33 inference(avatar_component_clause,[],[f128])). 0.12/0.33 thf(f172,plain,( 0.12/0.33 ~spl0_10), 0.12/0.33 inference(avatar_contradiction_clause,[],[f171])). 0.12/0.33 thf(f171,plain,( 0.12/0.33 $false | ~spl0_10), 0.12/0.33 inference(trivial_inequality_removal,[],[f170])). 0.12/0.33 thf(f170,plain,( 0.12/0.33 ($true != $true) | ~spl0_10), 0.12/0.33 inference(superposition,[],[f169,f23])). 0.12/0.33 thf(f23,plain,( 0.12/0.33 ((snail @ a_snail) = $true)), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f169,plain,( 0.12/0.33 ( ! [X0 : $i] : (((snail @ X0) != $true)) ) | ~spl0_10), 0.12/0.33 inference(subsumption_resolution,[],[f166,f22])). 0.12/0.33 thf(f22,plain,( 0.12/0.33 ( ! [X5 : $i] : (($true = (plant @ (sf @ X5))) | ((snail @ X5) != $true)) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f166,plain,( 0.12/0.33 ( ! [X0 : $i] : (((snail @ X0) != $true) | ($true != (plant @ (sf @ X0)))) ) | ~spl0_10), 0.12/0.33 inference(trivial_inequality_removal,[],[f165])). 0.12/0.33 thf(f165,plain,( 0.12/0.33 ( ! [X0 : $i] : (((snail @ X0) != $true) | ($true != (plant @ (sf @ X0))) | ($true != $true)) ) | ~spl0_10), 0.12/0.33 inference(duplicate_literal_removal,[],[f160])). 0.12/0.33 thf(f160,plain,( 0.12/0.33 ( ! [X0 : $i] : (($true != $true) | ((snail @ X0) != $true) | ((snail @ X0) != $true) | ($true != (plant @ (sf @ X0)))) ) | ~spl0_10), 0.12/0.33 inference(superposition,[],[f121,f24])). 0.12/0.33 thf(f24,plain,( 0.12/0.33 ( ! [X4 : $i] : (((eats @ X4 @ (sf @ X4)) = $true) | ($true != (snail @ X4))) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f121,plain,( 0.12/0.33 ( ! [X2 : $i,X1 : $i] : (($true != (eats @ X1 @ X2)) | ((snail @ X1) != $true) | ($true != (plant @ X2))) ) | ~spl0_10), 0.12/0.33 inference(avatar_component_clause,[],[f120])). 0.12/0.33 thf(f146,plain,( 0.12/0.33 ~spl0_9), 0.12/0.33 inference(avatar_contradiction_clause,[],[f145])). 0.12/0.33 thf(f145,plain,( 0.12/0.33 $false | ~spl0_9), 0.12/0.33 inference(trivial_inequality_removal,[],[f144])). 0.12/0.33 thf(f144,plain,( 0.12/0.33 ($true != $true) | ~spl0_9), 0.12/0.33 inference(superposition,[],[f118,f10])). 0.12/0.33 thf(f10,plain,( 0.12/0.33 ((bird @ a_bird) = $true)), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f118,plain,( 0.12/0.33 ( ! [X0 : $i] : (((bird @ X0) != $true)) ) | ~spl0_9), 0.12/0.33 inference(avatar_component_clause,[],[f117])). 0.12/0.33 thf(f90,plain,( 0.12/0.33 ~spl0_7), 0.12/0.33 inference(avatar_contradiction_clause,[],[f89])). 0.12/0.33 thf(f89,plain,( 0.12/0.33 $false | ~spl0_7), 0.12/0.33 inference(trivial_inequality_removal,[],[f88])). 0.12/0.33 thf(f88,plain,( 0.12/0.33 ($true != $true) | ~spl0_7), 0.12/0.33 inference(superposition,[],[f80,f13])). 0.12/0.33 thf(f13,plain,( 0.12/0.33 ((grain @ a_grain) = $true)), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f80,plain,( 0.12/0.33 ( ! [X1 : $i] : (((grain @ X1) != $true)) ) | ~spl0_7), 0.12/0.33 inference(avatar_component_clause,[],[f79])). 0.12/0.33 thf(f87,plain,( 0.12/0.33 spl0_7 | spl0_4), 0.12/0.33 inference(avatar_split_clause,[],[f86,f66,f79])). 0.12/0.33 thf(f86,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((grain @ X1) != $true) | ((plant @ X3) != $true) | ($true != (msmaller @ X2 @ X0)) | ($true = (eats @ X0 @ X2)) | ($true != (eats @ X2 @ X3)) | ((wolf @ X0) != $true) | ($true != (animal @ X2))) )), 0.12/0.33 inference(subsumption_resolution,[],[f85,f17])). 0.12/0.33 thf(f17,plain,( 0.12/0.33 ( ! [X13 : $i] : (($true = (animal @ X13)) | ((wolf @ X13) != $true)) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 thf(f85,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X0) != $true) | ($true != (eats @ X2 @ X3)) | ($true != (msmaller @ X2 @ X0)) | ($true = (eats @ X0 @ X2)) | ((wolf @ X0) != $true) | ((grain @ X1) != $true) | ($true != (animal @ X2)) | ((plant @ X3) != $true)) )), 0.12/0.33 inference(subsumption_resolution,[],[f46,f27])). 0.12/0.33 thf(f46,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (animal @ X2)) | ((grain @ X1) != $true) | ($true = (eats @ X0 @ X2)) | ((plant @ X1) != $true) | ($true != (eats @ X2 @ X3)) | ((plant @ X3) != $true) | ($true != (msmaller @ X2 @ X0)) | ((wolf @ X0) != $true) | ((animal @ X0) != $true)) )), 0.12/0.33 inference(trivial_inequality_removal,[],[f43])). 0.12/0.33 thf(f43,plain,( 0.12/0.33 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((plant @ X3) != $true) | ((plant @ X1) != $true) | ((animal @ X0) != $true) | ($true != (animal @ X2)) | ((grain @ X1) != $true) | ($true != (msmaller @ X2 @ X0)) | ($true = (eats @ X0 @ X2)) | ($true != (eats @ X2 @ X3)) | ((wolf @ X0) != $true)) )), 0.12/0.33 inference(superposition,[],[f11,f12])). 0.12/0.33 thf(f11,plain,( 0.12/0.33 ( ! [X24 : $i,X23 : $i] : (($true != (eats @ X23 @ X24)) | ((grain @ X24) != $true) | ($true != (wolf @ X23))) )), 0.12/0.33 inference(cnf_transformation,[],[f7])). 0.12/0.33 % SZS output end Proof for E---3.1_7485 0.12/0.33 % (7723)------------------------------ 0.12/0.33 % (7723)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.33 % (7723)Termination reason: Refutation 0.12/0.33 0.12/0.33 % (7723)Memory used [KB]: 6012 0.12/0.33 % (7723)Time elapsed: 0.045 s 0.12/0.33 % (7723)Instructions burned: 123 (million) 0.12/0.33 % (7723)------------------------------ 0.12/0.33 % (7723)------------------------------ 0.12/0.33 % (7718)Success in time 0.044 s 0.12/0.33 EOF