0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : run_vampire %s %d THM 0.12/0.32 % Computer : n027.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1920 0.12/0.32 % WCLimit : 240 0.12/0.32 % DateTime : Wed Jul 30 02:24:49 EDT 2025 0.12/0.32 % CPUTime : 0.19/0.34 This is a THF_ problem 0.19/0.34 Running higher-order theorem proving 0.19/0.35 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.QoKwS14Qve/E---3.1_16431.p -m 16384 -t 240 0.19/0.37 % (16542)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_16431 for (2399ds/2Mi) 0.19/0.37 % (16539)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_16431 for (2399ds/4Mi) 0.19/0.37 % (16540)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_16431 for (2399ds/27Mi) 0.19/0.37 % (16541)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_16431 for (2399ds/2Mi) 0.19/0.37 % (16543)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_16431 for (2399ds/275Mi) 0.19/0.37 % (16544)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_16431 for (2399ds/18Mi) 0.19/0.37 % (16538)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_16431 for (2399ds/183Mi) 0.19/0.37 % (16541)Instruction limit reached! 0.19/0.37 % (16541)------------------------------ 0.19/0.37 % (16541)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.19/0.37 % (16542)Instruction limit reached! 0.19/0.37 % (16542)------------------------------ 0.19/0.37 % (16542)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.19/0.37 % (16542)Termination reason: Unknown 0.19/0.37 % (16542)Termination phase: Saturation 0.19/0.37 0.19/0.37 % (16542)Memory used [KB]: 5500 0.19/0.37 % (16542)Time elapsed: 0.004 s 0.19/0.37 % (16542)Instructions burned: 2 (million) 0.19/0.37 % (16542)------------------------------ 0.19/0.37 % (16542)------------------------------ 0.19/0.37 % (16541)Termination reason: Unknown 0.19/0.37 % (16541)Termination phase: Saturation 0.19/0.37 0.19/0.37 % (16541)Memory used [KB]: 5500 0.19/0.37 % (16541)Time elapsed: 0.004 s 0.19/0.37 % (16541)Instructions burned: 2 (million) 0.19/0.37 % (16541)------------------------------ 0.19/0.37 % (16541)------------------------------ 0.19/0.37 % (16539)Instruction limit reached! 0.19/0.37 % (16539)------------------------------ 0.19/0.37 % (16539)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.19/0.37 % (16539)Termination reason: Unknown 0.19/0.37 % (16539)Termination phase: Saturation 0.19/0.37 0.19/0.37 % (16539)Memory used [KB]: 5500 0.19/0.37 % (16539)Time elapsed: 0.006 s 0.19/0.37 % (16539)Instructions burned: 4 (million) 0.19/0.37 % (16539)------------------------------ 0.19/0.37 % (16539)------------------------------ 0.19/0.37 % (16540)Refutation not found, incomplete strategy 0.19/0.37 % (16540)------------------------------ 0.19/0.37 % (16540)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.19/0.37 % (16540)Termination reason: Refutation not found, incomplete strategy 0.19/0.37 0.19/0.37 0.19/0.37 % (16540)Memory used [KB]: 5500 0.19/0.37 % (16540)Time elapsed: 0.006 s 0.19/0.37 % (16540)Instructions burned: 5 (million) 0.19/0.37 % (16540)------------------------------ 0.19/0.37 % (16540)------------------------------ 0.19/0.38 % (16544)Instruction limit reached! 0.19/0.38 % (16544)------------------------------ 0.19/0.38 % (16544)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.19/0.38 % (16544)Termination reason: Unknown 0.19/0.38 % (16544)Termination phase: Saturation 0.19/0.38 0.19/0.38 % (16544)Memory used [KB]: 5628 0.19/0.38 % (16544)Time elapsed: 0.014 s 0.19/0.38 % (16544)Instructions burned: 19 (million) 0.19/0.38 % (16544)------------------------------ 0.19/0.38 % (16544)------------------------------ 0.19/0.39 % (16545)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_16431 for (2399ds/3Mi) 0.19/0.39 % (16546)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_16431 for (2399ds/37Mi) 0.19/0.39 % (16548)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_16431 for (2399ds/3Mi) 0.19/0.39 % (16547)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_16431 for (2399ds/15Mi) 0.19/0.39 % (16545)Instruction limit reached! 0.19/0.39 % (16545)------------------------------ 0.19/0.39 % (16545)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.19/0.39 % (16545)Termination reason: Unknown 0.19/0.39 % (16545)Termination phase: Saturation 0.19/0.39 0.19/0.39 % (16545)Memory used [KB]: 5500 0.19/0.39 % (16545)Time elapsed: 0.004 s 0.19/0.39 % (16545)Instructions burned: 3 (million) 0.19/0.39 % (16545)------------------------------ 0.19/0.39 % (16545)------------------------------ 0.19/0.39 % (16548)Instruction limit reached! 0.19/0.39 % (16548)------------------------------ 0.19/0.39 % (16548)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.19/0.39 % (16548)Termination reason: Unknown 0.19/0.39 % (16548)Termination phase: Saturation 0.19/0.39 0.19/0.39 % (16548)Memory used [KB]: 5500 0.19/0.39 % (16548)Time elapsed: 0.004 s 0.19/0.39 % (16548)Instructions burned: 4 (million) 0.19/0.39 % (16548)------------------------------ 0.19/0.39 % (16548)------------------------------ 0.19/0.39 % (16543)Refutation not found, incomplete strategy 0.19/0.39 % (16543)------------------------------ 0.19/0.39 % (16543)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.19/0.39 % (16543)Termination reason: Refutation not found, incomplete strategy 0.19/0.39 0.19/0.39 0.19/0.39 % (16543)Memory used [KB]: 5628 0.19/0.39 % (16543)Time elapsed: 0.027 s 0.19/0.39 % (16543)Instructions burned: 37 (million) 0.19/0.39 % (16543)------------------------------ 0.19/0.39 % (16543)------------------------------ 0.19/0.40 % (16549)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_16431 for (2399ds/1041Mi) 0.19/0.40 % (16547)First to succeed. 0.19/0.40 % (16547)Refutation found. Thanks to Tanya! 0.19/0.40 % SZS status Theorem for E---3.1_16431 0.19/0.40 % SZS output start Proof for E---3.1_16431 0.19/0.40 thf(func_def_3, type, sP0: (($i > $o) > ($i > $o) > $o) > $o). 0.19/0.40 thf(func_def_4, type, sP1: (($i > $o) > ($i > $o) > $o) > $o). 0.19/0.40 thf(func_def_5, type, sK2: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.40 thf(func_def_6, type, sK3: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.40 thf(func_def_7, type, sK4: (($i > $o) > ($i > $o) > $o) > $i). 0.19/0.40 thf(func_def_8, type, sK5: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.40 thf(func_def_9, type, sK6: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.40 thf(func_def_10, type, sK7: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.40 thf(func_def_11, type, sK8: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.19/0.40 thf(func_def_13, type, ph10: !>[X0: $tType]:(X0)). 0.19/0.40 thf(f202,plain,( 0.19/0.40 $false), 0.19/0.40 inference(avatar_sat_refutation,[],[f64,f105,f112,f150,f159,f160,f161,f163,f164,f190,f195,f200,f201])). 0.19/0.40 thf(f201,plain,( 0.19/0.40 ((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))), 0.19/0.40 introduced(theory_tautology_sat_conflict,[])). 0.19/0.40 thf(f200,plain,( 0.19/0.40 ~spl9_18 | ~spl9_4), 0.19/0.40 inference(avatar_split_clause,[],[f179,f61,f197])). 0.19/0.40 thf(f197,plain,( 0.19/0.40 spl9_18 <=> ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_18])])). 0.19/0.40 thf(f61,plain,( 0.19/0.40 spl9_4 <=> ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true)), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_4])])). 0.19/0.40 thf(f179,plain,( 0.19/0.40 ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl9_4), 0.19/0.40 inference(equality_proxy_clausification,[],[f178])). 0.19/0.40 thf(f178,plain,( 0.19/0.40 (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ~spl9_4), 0.19/0.40 inference(beta_eta_normalization,[],[f177])). 0.19/0.40 thf(f177,plain,( 0.19/0.40 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ~spl9_4), 0.19/0.40 inference(trivial_inequality_removal,[],[f175])). 0.19/0.40 thf(f175,plain,( 0.19/0.40 ($true != $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ~spl9_4), 0.19/0.40 inference(superposition,[],[f27,f63])). 0.19/0.40 thf(f63,plain,( 0.19/0.40 ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ~spl9_4), 0.19/0.40 inference(avatar_component_clause,[],[f61])). 0.19/0.40 thf(f27,plain,( 0.19/0.40 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (((X0 @ (sK5 @ X0) @ (sK6 @ X0)) != $true) | ((sP0 @ X0) != $true)) )), 0.19/0.40 inference(cnf_transformation,[],[f18])). 0.19/0.40 thf(f18,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : ((((X0 @ (sK5 @ X0) @ (sK6 @ X0)) != $true) & ((X0 @ (sK5 @ X0) @ (sK7 @ X0)) = $true) & ((X0 @ (sK7 @ X0) @ (sK6 @ X0)) = $true)) | ((sP0 @ X0) != $true))), 0.19/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f16,f17])). 0.19/0.40 thf(f17,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o,X3 : $i > $o] : (((X0 @ X1 @ X2) != $true) & ((X0 @ X1 @ X3) = $true) & ($true = (X0 @ X3 @ X2))) => (((X0 @ (sK5 @ X0) @ (sK6 @ X0)) != $true) & ((X0 @ (sK5 @ X0) @ (sK7 @ X0)) = $true) & ((X0 @ (sK7 @ X0) @ (sK6 @ X0)) = $true)))), 0.19/0.40 introduced(choice_axiom,[])). 0.19/0.40 thf(f16,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o,X3 : $i > $o] : (((X0 @ X1 @ X2) != $true) & ((X0 @ X1 @ X3) = $true) & ($true = (X0 @ X3 @ X2))) | ((sP0 @ X0) != $true))), 0.19/0.40 inference(rectify,[],[f15])). 0.19/0.40 thf(f15,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X6 : $i > $o,X7 : $i > $o,X5 : $i > $o] : (((X0 @ X6 @ X7) != $true) & ((X0 @ X6 @ X5) = $true) & ($true = (X0 @ X5 @ X7))) | ((sP0 @ X0) != $true))), 0.19/0.40 inference(nnf_transformation,[],[f8])). 0.19/0.40 thf(f8,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X6 : $i > $o,X7 : $i > $o,X5 : $i > $o] : (((X0 @ X6 @ X7) != $true) & ((X0 @ X6 @ X5) = $true) & ($true = (X0 @ X5 @ X7))) | ~((sP0 @ X0) = $true))), 0.19/0.40 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.19/0.40 thf(f195,plain,( 0.19/0.40 spl9_17 | ~spl9_4), 0.19/0.40 inference(avatar_split_clause,[],[f182,f61,f192])). 0.19/0.40 thf(f192,plain,( 0.19/0.40 spl9_17 <=> ((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_17])])). 0.19/0.40 thf(f182,plain,( 0.19/0.40 ((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl9_4), 0.19/0.40 inference(equality_proxy_clausification,[],[f181])). 0.19/0.40 thf(f181,plain,( 0.19/0.40 (((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_4), 0.19/0.40 inference(beta_eta_normalization,[],[f180])). 0.19/0.40 thf(f180,plain,( 0.19/0.40 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_4), 0.19/0.40 inference(trivial_inequality_removal,[],[f176])). 0.19/0.40 thf(f176,plain,( 0.19/0.40 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($true != $true) | ~spl9_4), 0.19/0.40 inference(superposition,[],[f26,f63])). 0.19/0.40 thf(f26,plain,( 0.19/0.40 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (((X0 @ (sK5 @ X0) @ (sK7 @ X0)) = $true) | ((sP0 @ X0) != $true)) )), 0.19/0.40 inference(cnf_transformation,[],[f18])). 0.19/0.40 thf(f190,plain,( 0.19/0.40 spl9_16 | ~spl9_4), 0.19/0.40 inference(avatar_split_clause,[],[f185,f61,f187])). 0.19/0.40 thf(f187,plain,( 0.19/0.40 spl9_16 <=> ((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_16])])). 0.19/0.40 thf(f185,plain,( 0.19/0.40 ((sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl9_4), 0.19/0.40 inference(equality_proxy_clausification,[],[f184])). 0.19/0.40 thf(f184,plain,( 0.19/0.40 (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_4), 0.19/0.40 inference(beta_eta_normalization,[],[f183])). 0.19/0.40 thf(f183,plain,( 0.19/0.40 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_4), 0.19/0.40 inference(trivial_inequality_removal,[],[f174])). 0.19/0.40 thf(f174,plain,( 0.19/0.40 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($true != $true) | ~spl9_4), 0.19/0.40 inference(superposition,[],[f25,f63])). 0.19/0.40 thf(f25,plain,( 0.19/0.40 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (((sP0 @ X0) != $true) | ((X0 @ (sK7 @ X0) @ (sK6 @ X0)) = $true)) )), 0.19/0.40 inference(cnf_transformation,[],[f18])). 0.19/0.40 thf(f164,plain,( 0.19/0.40 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $false) | ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false)), 0.19/0.40 introduced(theory_tautology_sat_conflict,[])). 0.19/0.40 thf(f163,plain,( 0.19/0.40 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ($false != (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))))) | ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $false) | ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))))), 0.19/0.40 introduced(theory_tautology_sat_conflict,[])). 0.19/0.40 thf(f161,plain,( 0.19/0.40 ($false != (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))))) | ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $false) | ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))))), 0.19/0.40 introduced(theory_tautology_sat_conflict,[])). 0.19/0.40 thf(f160,plain,( 0.19/0.40 spl9_10 | ~spl9_3), 0.19/0.40 inference(avatar_split_clause,[],[f130,f57,f138])). 0.19/0.40 thf(f138,plain,( 0.19/0.40 spl9_10 <=> ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_10])])). 0.19/0.40 thf(f57,plain,( 0.19/0.40 spl9_3 <=> ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true)), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_3])])). 0.19/0.40 thf(f130,plain,( 0.19/0.40 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl9_3), 0.19/0.40 inference(equality_proxy_clausification,[],[f129])). 0.19/0.40 thf(f129,plain,( 0.19/0.40 ($true = ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ~spl9_3), 0.19/0.40 inference(beta_eta_normalization,[],[f128])). 0.19/0.40 thf(f128,plain,( 0.19/0.40 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_3), 0.19/0.40 inference(trivial_inequality_removal,[],[f126])). 0.19/0.40 thf(f126,plain,( 0.19/0.40 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($true != $true) | ~spl9_3), 0.19/0.40 inference(superposition,[],[f22,f59])). 0.19/0.40 thf(f59,plain,( 0.19/0.40 ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ~spl9_3), 0.19/0.40 inference(avatar_component_clause,[],[f57])). 0.19/0.40 thf(f22,plain,( 0.19/0.40 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (((sP1 @ X0) != $true) | ((X0 @ (sK2 @ X0) @ (sK3 @ X0)) = $true)) )), 0.19/0.40 inference(cnf_transformation,[],[f14])). 0.19/0.40 thf(f14,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : ((((X0 @ (sK3 @ X0) @ (sK2 @ X0)) = $true) & ((sK2 @ X0 @ (sK4 @ X0)) != (sK3 @ X0 @ (sK4 @ X0))) & ((X0 @ (sK2 @ X0) @ (sK3 @ X0)) = $true)) | ((sP1 @ X0) != $true))), 0.19/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f11,f13,f12])). 0.19/0.40 thf(f12,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o] : (((X0 @ X2 @ X1) = $true) & ? [X3] : ((X2 @ X3) != (X1 @ X3)) & ((X0 @ X1 @ X2) = $true)) => (((X0 @ (sK3 @ X0) @ (sK2 @ X0)) = $true) & ? [X3] : ((sK3 @ X0 @ X3) != (sK2 @ X0 @ X3)) & ((X0 @ (sK2 @ X0) @ (sK3 @ X0)) = $true)))), 0.19/0.40 introduced(choice_axiom,[])). 0.19/0.40 thf(f13,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X3] : ((sK3 @ X0 @ X3) != (sK2 @ X0 @ X3)) => ((sK2 @ X0 @ (sK4 @ X0)) != (sK3 @ X0 @ (sK4 @ X0))))), 0.19/0.40 introduced(choice_axiom,[])). 0.19/0.40 thf(f11,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o] : (((X0 @ X2 @ X1) = $true) & ? [X3] : ((X2 @ X3) != (X1 @ X3)) & ((X0 @ X1 @ X2) = $true)) | ((sP1 @ X0) != $true))), 0.19/0.40 inference(nnf_transformation,[],[f9])). 0.19/0.40 thf(f9,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o] : (((X0 @ X2 @ X1) = $true) & ? [X3] : ((X2 @ X3) != (X1 @ X3)) & ((X0 @ X1 @ X2) = $true)) | ~((sP1 @ X0) = $true))), 0.19/0.40 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.19/0.40 thf(f159,plain,( 0.19/0.40 spl9_13 | spl9_14 | ~spl9_3), 0.19/0.40 inference(avatar_split_clause,[],[f133,f57,f156,f152])). 0.19/0.40 thf(f152,plain,( 0.19/0.40 spl9_13 <=> ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false)), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_13])])). 0.19/0.40 thf(f156,plain,( 0.19/0.40 spl9_14 <=> ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false)), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_14])])). 0.19/0.40 thf(f133,plain,( 0.19/0.40 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ~spl9_3), 0.19/0.40 inference(binary_proxy_clausification,[],[f131])). 0.19/0.40 thf(f131,plain,( 0.19/0.40 ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ~spl9_3), 0.19/0.40 inference(trivial_inequality_removal,[],[f125])). 0.19/0.40 thf(f125,plain,( 0.19/0.40 ($true != $true) | ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ~spl9_3), 0.19/0.40 inference(superposition,[],[f23,f59])). 0.19/0.40 thf(f23,plain,( 0.19/0.40 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (((sP1 @ X0) != $true) | ((sK2 @ X0 @ (sK4 @ X0)) != (sK3 @ X0 @ (sK4 @ X0)))) )), 0.19/0.40 inference(cnf_transformation,[],[f14])). 0.19/0.40 thf(f150,plain,( 0.19/0.40 spl9_11 | spl9_12 | ~spl9_3), 0.19/0.40 inference(avatar_split_clause,[],[f132,f57,f147,f143])). 0.19/0.40 thf(f143,plain,( 0.19/0.40 spl9_11 <=> ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true)), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_11])])). 0.19/0.40 thf(f147,plain,( 0.19/0.40 spl9_12 <=> ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true)), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_12])])). 0.19/0.40 thf(f132,plain,( 0.19/0.40 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_3), 0.19/0.40 inference(binary_proxy_clausification,[],[f131])). 0.19/0.40 thf(f112,plain,( 0.19/0.40 spl9_9 | spl9_1), 0.19/0.40 inference(avatar_split_clause,[],[f107,f48,f109])). 0.19/0.40 thf(f109,plain,( 0.19/0.40 spl9_9 <=> ($false = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))))), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_9])])). 0.19/0.40 thf(f48,plain,( 0.19/0.40 spl9_1 <=> ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))))), 0.19/0.40 introduced(avatar_definition,[new_symbols(naming,[spl9_1])])). 0.19/0.40 thf(f107,plain,( 0.19/0.40 ($false = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))))) | spl9_1), 0.19/0.40 inference(trivial_inequality_removal,[],[f106])). 0.19/0.40 thf(f106,plain,( 0.19/0.40 ($false = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))))) | ($true != $true) | spl9_1), 0.19/0.40 inference(fool_paramodulation,[],[f49])). 0.19/0.40 thf(f49,plain,( 0.19/0.40 ($true != (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))))) | spl9_1), 0.19/0.40 inference(avatar_component_clause,[],[f48])). 0.19/0.40 thf(f105,plain,( 0.19/0.40 ~spl9_1), 0.19/0.40 inference(avatar_contradiction_clause,[],[f104])). 0.19/0.40 thf(f104,plain,( 0.19/0.40 $false | ~spl9_1), 0.19/0.40 inference(trivial_inequality_removal,[],[f103])). 0.19/0.40 thf(f103,plain,( 0.19/0.40 ($true != $true) | ~spl9_1), 0.19/0.40 inference(beta_eta_normalization,[],[f102])). 0.19/0.40 thf(f102,plain,( 0.19/0.40 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))))) != $true) | ~spl9_1), 0.19/0.40 inference(trivial_inequality_removal,[],[f96])). 0.19/0.40 thf(f96,plain,( 0.19/0.40 ($true != $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))))) != $true) | ~spl9_1), 0.19/0.40 inference(superposition,[],[f27,f50])). 0.19/0.40 thf(f50,plain,( 0.19/0.40 ($true = (sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))))) | ~spl9_1), 0.19/0.40 inference(avatar_component_clause,[],[f48])). 0.19/0.40 thf(f64,plain,( 0.19/0.40 spl9_3 | spl9_4), 0.19/0.40 inference(avatar_split_clause,[],[f37,f61,f57])). 0.19/0.40 thf(f37,plain,( 0.19/0.40 ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true)), 0.19/0.40 inference(trivial_inequality_removal,[],[f36])). 0.19/0.40 thf(f36,plain,( 0.19/0.40 ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ($true != $true)), 0.19/0.40 inference(boolean_simplification,[],[f35])). 0.19/0.40 thf(f35,plain,( 0.19/0.40 (((sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true)), 0.19/0.40 inference(beta_eta_normalization,[],[f30])). 0.19/0.40 thf(f30,plain,( 0.19/0.40 ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true)), 0.19/0.40 inference(primitive_instantiation,[],[f28])). 0.19/0.40 thf(f28,plain,( 0.19/0.40 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true != (X0 @ (sK8 @ X0) @ (sK8 @ X0))) | ((sP1 @ X0) = $true) | ((sP0 @ X0) = $true)) )), 0.19/0.40 inference(cnf_transformation,[],[f21])). 0.19/0.40 thf(f21,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true != (X0 @ (sK8 @ X0) @ (sK8 @ X0))) | ((sP1 @ X0) = $true) | ((sP0 @ X0) = $true))), 0.19/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f19,f20])). 0.19/0.40 thf(f20,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o] : ((X0 @ X1 @ X1) != $true) => ($true != (X0 @ (sK8 @ X0) @ (sK8 @ X0))))), 0.19/0.40 introduced(choice_axiom,[])). 0.19/0.40 thf(f19,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o] : ((X0 @ X1 @ X1) != $true) | ((sP1 @ X0) = $true) | ((sP0 @ X0) = $true))), 0.19/0.40 inference(rectify,[],[f10])). 0.19/0.40 thf(f10,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X4 : $i > $o] : ((X0 @ X4 @ X4) != $true) | ((sP1 @ X0) = $true) | ((sP0 @ X0) = $true))), 0.19/0.40 inference(definition_folding,[],[f7,f9,f8])). 0.19/0.40 thf(f7,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X4 : $i > $o] : ((X0 @ X4 @ X4) != $true) | ? [X1 : $i > $o,X2 : $i > $o] : (((X0 @ X2 @ X1) = $true) & ? [X3] : ((X2 @ X3) != (X1 @ X3)) & ((X0 @ X1 @ X2) = $true)) | ? [X6 : $i > $o,X7 : $i > $o,X5 : $i > $o] : (((X0 @ X6 @ X7) != $true) & ((X0 @ X6 @ X5) = $true) & ($true = (X0 @ X5 @ X7))))), 0.19/0.40 inference(flattening,[],[f6])). 0.19/0.40 thf(f6,plain,( 0.19/0.40 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o] : (? [X3] : ((X2 @ X3) != (X1 @ X3)) & (((X0 @ X1 @ X2) = $true) & ((X0 @ X2 @ X1) = $true))) | ? [X4 : $i > $o] : ((X0 @ X4 @ X4) != $true) | ? [X6 : $i > $o,X7 : $i > $o,X5 : $i > $o] : (((X0 @ X6 @ X7) != $true) & (((X0 @ X6 @ X5) = $true) & ($true = (X0 @ X5 @ X7)))))), 0.19/0.40 inference(ennf_transformation,[],[f5])). 0.19/0.40 thf(f5,plain,( 0.19/0.40 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o,X2 : $i > $o] : ((((X0 @ X1 @ X2) = $true) & ((X0 @ X2 @ X1) = $true)) => ! [X3] : ((X2 @ X3) = (X1 @ X3))) & ! [X4 : $i > $o] : ((X0 @ X4 @ X4) = $true) & ! [X6 : $i > $o,X7 : $i > $o,X5 : $i > $o] : ((((X0 @ X6 @ X5) = $true) & ($true = (X0 @ X5 @ X7))) => ((X0 @ X6 @ X7) = $true)))), 0.19/0.40 inference(fool_elimination,[],[f4])). 0.19/0.40 thf(f4,plain,( 0.19/0.40 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o,X2 : $i > $o] : (((X0 @ X2 @ X1) & (X0 @ X1 @ X2)) => ! [X3] : ((X1 @ X3) <=> (X2 @ X3))) & ! [X4 : $i > $o] : (X0 @ X4 @ X4) & ! [X5 : $i > $o,X6 : $i > $o,X7 : $i > $o] : (((X0 @ X6 @ X5) & (X0 @ X5 @ X7)) => (X0 @ X6 @ X7)))), 0.19/0.40 inference(rectify,[],[f2])). 0.19/0.40 thf(f2,negated_conjecture,( 0.19/0.40 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o,X2 : $i > $o] : (((X0 @ X2 @ X1) & (X0 @ X1 @ X2)) => ! [X3] : ((X1 @ X3) <=> (X2 @ X3))) & ! [X3 : $i > $o] : (X0 @ X3 @ X3) & ! [X4 : $i > $o,X3 : $i > $o,X5 : $i > $o] : (((X0 @ X3 @ X4) & (X0 @ X4 @ X5)) => (X0 @ X3 @ X5)))), 0.19/0.40 inference(negated_conjecture,[],[f1])). 0.19/0.40 thf(f1,conjecture,( 0.19/0.40 ? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o,X2 : $i > $o] : (((X0 @ X2 @ X1) & (X0 @ X1 @ X2)) => ! [X3] : ((X1 @ X3) <=> (X2 @ X3))) & ! [X3 : $i > $o] : (X0 @ X3 @ X3) & ! [X4 : $i > $o,X3 : $i > $o,X5 : $i > $o] : (((X0 @ X3 @ X4) & (X0 @ X4 @ X5)) => (X0 @ X3 @ X5)))), 0.19/0.40 file('/export/starexec/sandbox2/tmp/tmp.QoKwS14Qve/E---3.1_16431.p',cTHM120I_pme)). 0.19/0.40 % SZS output end Proof for E---3.1_16431 0.19/0.40 % (16547)------------------------------ 0.19/0.40 % (16547)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.19/0.40 % (16547)Termination reason: Refutation 0.19/0.40 0.19/0.40 % (16547)Memory used [KB]: 5756 0.19/0.40 % (16547)Time elapsed: 0.013 s 0.19/0.40 % (16547)Instructions burned: 11 (million) 0.19/0.40 % (16547)------------------------------ 0.19/0.40 % (16547)------------------------------ 0.19/0.40 % (16537)Success in time 0.034 s 0.19/0.40 EOF