TSTP Solution File: DAT334^8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT334^8 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:50:43 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : DAT334^8 : TPTP v8.2.0. Released v8.1.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 23:18:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.39 % (1954)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.39 % (1958)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (1958)Instruction limit reached!
% 0.15/0.39 % (1958)------------------------------
% 0.15/0.39 % (1958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (1958)Termination reason: Unknown
% 0.15/0.39 % (1958)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (1958)Memory used [KB]: 1023
% 0.15/0.39 % (1958)Time elapsed: 0.003 s
% 0.15/0.39 % (1958)Instructions burned: 3 (million)
% 0.15/0.39 % (1958)------------------------------
% 0.15/0.39 % (1958)------------------------------
% 0.15/0.39 % (1961)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.39 % (1955)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 theBenchmark for (2999ds/4Mi)
% 0.15/0.39 % (1961)Instruction limit reached!
% 0.15/0.39 % (1961)------------------------------
% 0.15/0.39 % (1961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (1961)Termination reason: Unknown
% 0.15/0.39 % (1961)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (1961)Memory used [KB]: 1023
% 0.15/0.39 % (1961)Time elapsed: 0.004 s
% 0.15/0.39 % (1961)Instructions burned: 3 (million)
% 0.15/0.39 % (1961)------------------------------
% 0.15/0.39 % (1961)------------------------------
% 0.15/0.39 % (1955)Instruction limit reached!
% 0.15/0.39 % (1955)------------------------------
% 0.15/0.39 % (1955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (1955)Termination reason: Unknown
% 0.15/0.39 % (1955)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (1955)Memory used [KB]: 1023
% 0.15/0.39 % (1955)Time elapsed: 0.004 s
% 0.15/0.39 % (1955)Instructions burned: 4 (million)
% 0.15/0.39 % (1955)------------------------------
% 0.15/0.39 % (1955)------------------------------
% 0.15/0.39 % (1954)First to succeed.
% 0.15/0.40 % (1954)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% 0.15/0.40 thf(type_def_5, type, mworld: $tType).
% 0.15/0.40 thf(func_def_0, type, mworld: $tType).
% 0.15/0.40 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.15/0.40 thf(func_def_2, type, mactual: mworld).
% 0.15/0.40 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.15/0.40 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.15/0.40 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.40 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.40 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.40 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.40 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.15/0.40 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.15/0.40 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.15/0.40 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.15/0.40 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.15/0.40 thf(func_def_21, type, teach: $i > $i > mworld > $o).
% 0.15/0.40 thf(func_def_35, type, sK0: mworld > $i).
% 0.15/0.40 thf(func_def_37, type, sK2: mworld).
% 0.15/0.40 thf(func_def_38, type, sK3: mworld > $i).
% 0.15/0.40 thf(f114,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(avatar_sat_refutation,[],[f98,f104,f113])).
% 0.15/0.40 thf(f113,plain,(
% 0.15/0.40 ~spl1_1 | spl1_2),
% 0.15/0.40 inference(avatar_contradiction_clause,[],[f112])).
% 0.15/0.40 thf(f112,plain,(
% 0.15/0.40 $false | (~spl1_1 | spl1_2)),
% 0.15/0.40 inference(subsumption_resolution,[],[f108,f95])).
% 0.15/0.40 thf(f95,plain,(
% 0.15/0.40 ((mrel @ mactual @ sK2) != $false) | spl1_2),
% 0.15/0.40 inference(avatar_component_clause,[],[f94])).
% 0.15/0.40 thf(f94,plain,(
% 0.15/0.40 spl1_2 <=> ((mrel @ mactual @ sK2) = $false)),
% 0.15/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.15/0.40 thf(f108,plain,(
% 0.15/0.40 ((mrel @ mactual @ sK2) = $false) | ~spl1_1),
% 0.15/0.40 inference(trivial_inequality_removal,[],[f107])).
% 0.15/0.40 thf(f107,plain,(
% 0.15/0.40 ($true = $false) | ((mrel @ mactual @ sK2) = $false) | ~spl1_1),
% 0.15/0.40 inference(superposition,[],[f82,f92])).
% 0.15/0.40 thf(f92,plain,(
% 0.15/0.40 ((eiw_di @ (sK3 @ sK2) @ sK2) = $false) | ~spl1_1),
% 0.15/0.40 inference(avatar_component_clause,[],[f90])).
% 0.15/0.40 thf(f90,plain,(
% 0.15/0.40 spl1_1 <=> ((eiw_di @ (sK3 @ sK2) @ sK2) = $false)),
% 0.15/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.15/0.40 thf(f82,plain,(
% 0.15/0.40 ( ! [X1 : mworld] : (($true = (eiw_di @ (sK3 @ X1) @ X1)) | ((mrel @ mactual @ X1) = $false)) )),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f80])).
% 0.15/0.40 thf(f80,plain,(
% 0.15/0.40 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((eiw_di @ (sK3 @ X1) @ X1) & (teach @ (sK3 @ X1) @ cs @ X1)))) )),
% 0.15/0.40 inference(beta_eta_normalization,[],[f79])).
% 0.15/0.40 thf(f79,plain,(
% 0.15/0.40 ( ! [X1 : mworld] : (($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (teach @ Y0 @ cs @ X1))) @ (sK3 @ X1))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.15/0.40 inference(sigma_clausification,[],[f78])).
% 0.15/0.40 thf(f78,plain,(
% 0.15/0.40 ( ! [X1 : mworld] : (($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (teach @ Y0 @ cs @ X1))))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f75])).
% 0.15/0.40 thf(f75,plain,(
% 0.15/0.40 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (teach @ Y0 @ cs @ X1)))) & ((teach @ mary @ psych @ X1) & (teach @ sue @ psych @ X1))))) )),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f74])).
% 0.15/0.40 thf(f74,plain,(
% 0.15/0.40 ( ! [X1 : mworld] : (($true = ((teach @ john @ math @ X1) & ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (teach @ Y0 @ cs @ X1)))) & ((teach @ mary @ psych @ X1) & (teach @ sue @ psych @ X1))))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f73])).
% 0.15/0.40 thf(f73,plain,(
% 0.15/0.40 ( ! [X1 : mworld] : (($true = ((mrel @ mactual @ X1) => ((teach @ john @ math @ X1) & ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (teach @ Y0 @ cs @ X1)))) & ((teach @ mary @ psych @ X1) & (teach @ sue @ psych @ X1))))))) )),
% 0.15/0.40 inference(beta_eta_normalization,[],[f72])).
% 0.15/0.40 thf(f72,plain,(
% 0.15/0.40 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((teach @ john @ math @ Y0) & ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (teach @ Y1 @ cs @ Y0)))) & ((teach @ mary @ psych @ Y0) & (teach @ sue @ psych @ Y0)))))) @ X1))) )),
% 0.15/0.40 inference(pi_clausification,[],[f71])).
% 0.15/0.40 thf(f71,plain,(
% 0.15/0.40 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((teach @ john @ math @ Y0) & ((?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (teach @ Y1 @ cs @ Y0)))) & ((teach @ mary @ psych @ Y0) & (teach @ sue @ psych @ Y0))))))))),
% 0.15/0.40 inference(beta_eta_normalization,[],[f62])).
% 0.15/0.40 thf(f62,plain,(
% 0.15/0.40 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ (teach @ john @ math) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))))),
% 0.15/0.40 inference(definition_unfolding,[],[f57,f60,f53,f54,f54,f59,f54])).
% 0.15/0.40 thf(f59,plain,(
% 0.15/0.40 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.15/0.40 inference(cnf_transformation,[],[f19])).
% 0.15/0.40 thf(f19,plain,(
% 0.15/0.40 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.15/0.40 inference(fool_elimination,[],[f18])).
% 0.15/0.40 thf(f18,plain,(
% 0.15/0.40 ((^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))) = mexists_di)),
% 0.15/0.40 inference(rectify,[],[f12])).
% 0.15/0.40 thf(f12,axiom,(
% 0.15/0.40 ((^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : ((X1 @ X5 @ X2) & (eiw_di @ X5 @ X2)))) = mexists_di)),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di_def)).
% 0.15/0.40 thf(f54,plain,(
% 0.15/0.40 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.15/0.40 inference(cnf_transformation,[],[f37])).
% 0.15/0.40 thf(f37,plain,(
% 0.15/0.40 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.15/0.40 inference(fool_elimination,[],[f36])).
% 0.15/0.40 thf(f36,plain,(
% 0.15/0.40 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 0.15/0.40 inference(rectify,[],[f3])).
% 0.15/0.40 thf(f3,axiom,(
% 0.15/0.40 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))) = mand)),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def)).
% 0.15/0.40 thf(f53,plain,(
% 0.15/0.40 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.15/0.40 inference(cnf_transformation,[],[f41])).
% 0.15/0.40 thf(f41,plain,(
% 0.15/0.40 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.15/0.40 inference(fool_elimination,[],[f40])).
% 0.15/0.40 thf(f40,plain,(
% 0.15/0.40 ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.15/0.40 inference(rectify,[],[f7])).
% 0.15/0.40 thf(f7,axiom,(
% 0.15/0.40 ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def)).
% 0.15/0.40 thf(f60,plain,(
% 0.15/0.40 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.15/0.40 inference(cnf_transformation,[],[f17])).
% 0.15/0.40 thf(f17,plain,(
% 0.15/0.40 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.15/0.40 inference(fool_elimination,[],[f1])).
% 0.15/0.40 thf(f1,axiom,(
% 0.15/0.40 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.15/0.40 thf(f57,plain,(
% 0.15/0.40 ($true = (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))))),
% 0.15/0.40 inference(cnf_transformation,[],[f33])).
% 0.15/0.40 thf(f33,plain,(
% 0.15/0.40 ($true = (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))))),
% 0.15/0.40 inference(fool_elimination,[],[f32])).
% 0.15/0.40 thf(f32,plain,(
% 0.15/0.40 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.15/0.40 inference(rectify,[],[f13])).
% 0.15/0.40 thf(f13,axiom,(
% 0.15/0.40 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',db)).
% 0.15/0.40 thf(f104,plain,(
% 0.15/0.40 ~spl1_2),
% 0.15/0.40 inference(avatar_contradiction_clause,[],[f103])).
% 0.15/0.40 thf(f103,plain,(
% 0.15/0.40 $false | ~spl1_2),
% 0.15/0.40 inference(trivial_inequality_removal,[],[f100])).
% 0.15/0.40 thf(f100,plain,(
% 0.15/0.40 ($true = $false) | ~spl1_2),
% 0.15/0.40 inference(superposition,[],[f67,f96])).
% 0.15/0.40 thf(f96,plain,(
% 0.15/0.40 ((mrel @ mactual @ sK2) = $false) | ~spl1_2),
% 0.15/0.40 inference(avatar_component_clause,[],[f94])).
% 0.15/0.40 thf(f67,plain,(
% 0.15/0.40 ($true = (mrel @ mactual @ sK2))),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f65])).
% 0.15/0.40 thf(f65,plain,(
% 0.15/0.40 (((mrel @ mactual @ sK2) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (teach @ Y0 @ cs @ sK2))))) = $false)),
% 0.15/0.40 inference(beta_eta_normalization,[],[f64])).
% 0.15/0.40 thf(f64,plain,(
% 0.15/0.40 (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (teach @ Y1 @ cs @ Y0)))))) @ sK2) = $false)),
% 0.15/0.40 inference(sigma_clausification,[],[f63])).
% 0.15/0.40 thf(f63,plain,(
% 0.15/0.40 ($true != (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (teach @ Y1 @ cs @ Y0))))))))),
% 0.15/0.40 inference(beta_eta_normalization,[],[f61])).
% 0.15/0.40 thf(f61,plain,(
% 0.15/0.40 ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.15/0.40 inference(definition_unfolding,[],[f47,f60,f53,f59])).
% 0.15/0.40 thf(f47,plain,(
% 0.15/0.40 ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.15/0.40 inference(cnf_transformation,[],[f44])).
% 0.15/0.40 thf(f44,plain,(
% 0.15/0.40 ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.15/0.40 inference(flattening,[],[f29])).
% 0.15/0.40 thf(f29,plain,(
% 0.15/0.40 ~($true = (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.15/0.40 inference(fool_elimination,[],[f28])).
% 0.15/0.40 thf(f28,plain,(
% 0.15/0.40 ~(mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs)))))),
% 0.15/0.40 inference(rectify,[],[f15])).
% 0.15/0.40 thf(f15,negated_conjecture,(
% 0.15/0.40 ~(mlocal @ (mbox @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs)))))),
% 0.15/0.40 inference(negated_conjecture,[],[f14])).
% 0.15/0.40 thf(f14,conjecture,(
% 0.15/0.40 (mlocal @ (mbox @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs)))))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query)).
% 0.15/0.40 thf(f98,plain,(
% 0.15/0.40 spl1_2 | spl1_1),
% 0.15/0.40 inference(avatar_split_clause,[],[f87,f90,f94])).
% 0.15/0.40 thf(f87,plain,(
% 0.15/0.40 ((eiw_di @ (sK3 @ sK2) @ sK2) = $false) | ((mrel @ mactual @ sK2) = $false)),
% 0.15/0.40 inference(trivial_inequality_removal,[],[f85])).
% 0.15/0.40 thf(f85,plain,(
% 0.15/0.40 ((mrel @ mactual @ sK2) = $false) | ((eiw_di @ (sK3 @ sK2) @ sK2) = $false) | ($true = $false)),
% 0.15/0.40 inference(superposition,[],[f81,f70])).
% 0.15/0.40 thf(f70,plain,(
% 0.15/0.40 ( ! [X1 : $i] : (((teach @ X1 @ cs @ sK2) = $false) | ((eiw_di @ X1 @ sK2) = $false)) )),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f69])).
% 0.15/0.40 thf(f69,plain,(
% 0.15/0.40 ( ! [X1 : $i] : ((((eiw_di @ X1 @ sK2) & (teach @ X1 @ cs @ sK2)) = $false)) )),
% 0.15/0.40 inference(beta_eta_normalization,[],[f68])).
% 0.15/0.40 thf(f68,plain,(
% 0.15/0.40 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (teach @ Y0 @ cs @ sK2))) @ X1) = $false)) )),
% 0.15/0.40 inference(pi_clausification,[],[f66])).
% 0.15/0.40 thf(f66,plain,(
% 0.15/0.40 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (teach @ Y0 @ cs @ sK2)))) = $false)),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f65])).
% 0.15/0.40 thf(f81,plain,(
% 0.15/0.40 ( ! [X1 : mworld] : (($true = (teach @ (sK3 @ X1) @ cs @ X1)) | ((mrel @ mactual @ X1) = $false)) )),
% 0.15/0.40 inference(binary_proxy_clausification,[],[f80])).
% 0.15/0.40 % SZS output end Proof for theBenchmark
% 0.15/0.40 % (1954)------------------------------
% 0.15/0.40 % (1954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (1954)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (1954)Memory used [KB]: 5628
% 0.15/0.40 % (1954)Time elapsed: 0.009 s
% 0.15/0.40 % (1954)Instructions burned: 8 (million)
% 0.15/0.40 % (1954)------------------------------
% 0.15/0.40 % (1954)------------------------------
% 0.15/0.40 % (1953)Success in time 0.022 s
% 0.15/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------