TSTP Solution File: DAT334^23 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT334^23 : 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 : n004.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 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : DAT334^23 : TPTP v8.2.0. Released v8.1.0.
% 0.08/0.16 % 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
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 23:14:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.38 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
% 0.15/0.40 % (19264)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.40 % (19265)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)
% 0.15/0.40 % (19267)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40 % (19266)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 theBenchmark for (2999ds/27Mi)
% 0.15/0.40 % (19267)Instruction limit reached!
% 0.15/0.40 % (19267)------------------------------
% 0.15/0.40 % (19267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (19267)Termination reason: Unknown
% 0.15/0.40 % (19267)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (19267)Memory used [KB]: 1023
% 0.15/0.40 % (19267)Time elapsed: 0.003 s
% 0.15/0.40 % (19267)Instructions burned: 2 (million)
% 0.15/0.40 % (19267)------------------------------
% 0.15/0.40 % (19267)------------------------------
% 0.15/0.40 % (19265)Instruction limit reached!
% 0.15/0.40 % (19265)------------------------------
% 0.15/0.40 % (19265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (19265)Termination reason: Unknown
% 0.15/0.40 % (19265)Termination phase: Function definition elimination
% 0.15/0.40
% 0.15/0.40 % (19265)Memory used [KB]: 1023
% 0.15/0.40 % (19265)Time elapsed: 0.004 s
% 0.15/0.40 % (19265)Instructions burned: 4 (million)
% 0.15/0.40 % (19265)------------------------------
% 0.15/0.40 % (19265)------------------------------
% 0.15/0.40 % (19268)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)
% 0.15/0.40 % (19268)Instruction limit reached!
% 0.15/0.40 % (19268)------------------------------
% 0.15/0.40 % (19268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (19268)Termination reason: Unknown
% 0.15/0.40 % (19268)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (19268)Memory used [KB]: 1023
% 0.15/0.40 % (19268)Time elapsed: 0.003 s
% 0.15/0.40 % (19268)Instructions burned: 2 (million)
% 0.15/0.40 % (19268)------------------------------
% 0.15/0.40 % (19268)------------------------------
% 0.15/0.40 % (19269)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.40 % (19264)First to succeed.
% 0.15/0.40 % (19269)Refutation not found, incomplete strategy
% 0.15/0.40 % (19269)------------------------------
% 0.15/0.40 % (19269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (19269)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40
% 0.15/0.40
% 0.15/0.40 % (19269)Memory used [KB]: 5500
% 0.15/0.40 % (19269)Time elapsed: 0.004 s
% 0.15/0.40 % (19269)Instructions burned: 3 (million)
% 0.15/0.40 % (19269)------------------------------
% 0.15/0.40 % (19269)------------------------------
% 0.15/0.40 % (19266)Also succeeded, but the first one will report.
% 0.15/0.41 % (19264)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% 0.15/0.41 thf(type_def_5, type, mworld: $tType).
% 0.15/0.41 thf(func_def_0, type, mworld: $tType).
% 0.15/0.41 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.15/0.41 thf(func_def_2, type, mactual: mworld).
% 0.15/0.41 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.15/0.41 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.15/0.41 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.41 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.41 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.41 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.41 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.15/0.41 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.15/0.41 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.15/0.41 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.15/0.41 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.15/0.41 thf(func_def_21, type, teach: $i > $i > mworld > $o).
% 0.15/0.41 thf(func_def_35, type, sK0: mworld > $i).
% 0.15/0.41 thf(func_def_37, type, sK2: mworld).
% 0.15/0.41 thf(func_def_38, type, sK3: mworld > $i).
% 0.15/0.41 thf(f131,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(avatar_sat_refutation,[],[f110,f120,f130])).
% 0.15/0.41 thf(f130,plain,(
% 0.15/0.41 ~spl1_1 | spl1_2),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f129])).
% 0.15/0.41 thf(f129,plain,(
% 0.15/0.41 $false | (~spl1_1 | spl1_2)),
% 0.15/0.41 inference(subsumption_resolution,[],[f125,f107])).
% 0.15/0.41 thf(f107,plain,(
% 0.15/0.41 ((mrel @ mactual @ sK2) != $false) | spl1_2),
% 0.15/0.41 inference(avatar_component_clause,[],[f106])).
% 0.15/0.41 thf(f106,plain,(
% 0.15/0.41 spl1_2 <=> ((mrel @ mactual @ sK2) = $false)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.15/0.41 thf(f125,plain,(
% 0.15/0.41 ((mrel @ mactual @ sK2) = $false) | ~spl1_1),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f123])).
% 0.15/0.41 thf(f123,plain,(
% 0.15/0.41 ($true = $false) | ((mrel @ mactual @ sK2) = $false) | ~spl1_1),
% 0.15/0.41 inference(superposition,[],[f104,f96])).
% 0.15/0.41 thf(f96,plain,(
% 0.15/0.41 ( ! [X1 : mworld] : (((eiw_di @ (sK3 @ X1) @ X1) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f94])).
% 0.15/0.41 thf(f94,plain,(
% 0.15/0.41 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((eiw_di @ (sK3 @ X1) @ X1) & (teach @ (sK3 @ X1) @ cs @ X1)) = $true)) )),
% 0.15/0.41 inference(beta_eta_normalization,[],[f93])).
% 0.15/0.41 thf(f93,plain,(
% 0.15/0.41 ( ! [X1 : mworld] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (teach @ Y0 @ cs @ X1))) @ (sK3 @ X1)) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.15/0.41 inference(sigma_clausification,[],[f89])).
% 0.15/0.41 thf(f89,plain,(
% 0.15/0.41 ( ! [X1 : mworld] : (($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (teach @ Y0 @ cs @ X1))))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f88])).
% 0.15/0.41 thf(f88,plain,(
% 0.15/0.41 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((((teach @ sue @ psych @ X1) & (teach @ mary @ psych @ X1)) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (teach @ Y0 @ cs @ X1))))) = $true)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f86])).
% 0.15/0.41 thf(f86,plain,(
% 0.15/0.41 ( ! [X1 : mworld] : ((((((teach @ sue @ psych @ X1) & (teach @ mary @ psych @ X1)) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (teach @ Y0 @ cs @ X1))))) & (teach @ john @ math @ X1)) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f85])).
% 0.15/0.41 thf(f85,plain,(
% 0.15/0.41 ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => ((((teach @ sue @ psych @ X1) & (teach @ mary @ psych @ X1)) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) & (teach @ Y0 @ cs @ X1))))) & (teach @ john @ math @ X1))) = $true)) )),
% 0.15/0.41 inference(beta_eta_normalization,[],[f84])).
% 0.15/0.41 thf(f84,plain,(
% 0.15/0.41 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((((teach @ sue @ psych @ Y0) & (teach @ mary @ psych @ Y0)) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (teach @ Y1 @ cs @ Y0))))) & (teach @ john @ math @ Y0)))) @ X1) = $true)) )),
% 0.15/0.41 inference(pi_clausification,[],[f83])).
% 0.15/0.41 thf(f83,plain,(
% 0.15/0.41 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((((teach @ sue @ psych @ Y0) & (teach @ mary @ psych @ Y0)) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (teach @ Y1 @ cs @ Y0))))) & (teach @ john @ math @ Y0))))) = $true)),
% 0.15/0.41 inference(beta_eta_normalization,[],[f73])).
% 0.15/0.41 thf(f73,plain,(
% 0.15/0.41 (((^[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]: ((Y1 @ Y2) & (Y0 @ Y2))))))) @ (teach @ john @ math) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((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))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))) @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))) = $true)),
% 0.15/0.41 inference(definition_unfolding,[],[f60,f68,f69,f70,f70,f63,f70])).
% 0.15/0.41 thf(f63,plain,(
% 0.15/0.41 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.15/0.41 inference(cnf_transformation,[],[f22])).
% 0.15/0.41 thf(f22,plain,(
% 0.15/0.41 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 0.15/0.41 inference(fool_elimination,[],[f21])).
% 0.15/0.41 thf(f21,plain,(
% 0.15/0.41 (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))))),
% 0.15/0.41 inference(rectify,[],[f14])).
% 0.15/0.41 thf(f14,axiom,(
% 0.15/0.41 (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X6] : ((X1 @ X6 @ X2) & (eiw_di @ X6 @ X2)))))),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di_def)).
% 0.15/0.41 thf(f70,plain,(
% 0.15/0.41 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.15/0.41 inference(cnf_transformation,[],[f30])).
% 0.15/0.41 thf(f30,plain,(
% 0.15/0.41 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.15/0.41 inference(fool_elimination,[],[f29])).
% 0.15/0.41 thf(f29,plain,(
% 0.15/0.41 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))) = mand)),
% 0.15/0.41 inference(rectify,[],[f3])).
% 0.15/0.41 thf(f3,axiom,(
% 0.15/0.41 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))) = mand)),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def)).
% 0.15/0.41 thf(f69,plain,(
% 0.15/0.41 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.15/0.41 inference(cnf_transformation,[],[f37])).
% 0.15/0.41 thf(f37,plain,(
% 0.15/0.41 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.15/0.41 inference(fool_elimination,[],[f36])).
% 0.15/0.41 thf(f36,plain,(
% 0.15/0.41 (mbox = (^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))))),
% 0.15/0.41 inference(rectify,[],[f7])).
% 0.15/0.41 thf(f7,axiom,(
% 0.15/0.41 (mbox = (^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))))),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def)).
% 0.15/0.41 thf(f68,plain,(
% 0.15/0.41 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.15/0.41 inference(cnf_transformation,[],[f31])).
% 0.15/0.41 thf(f31,plain,(
% 0.15/0.41 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.15/0.41 inference(fool_elimination,[],[f1])).
% 0.15/0.41 thf(f1,axiom,(
% 0.15/0.41 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.15/0.41 thf(f60,plain,(
% 0.15/0.41 ((mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))) = $true)),
% 0.15/0.41 inference(cnf_transformation,[],[f41])).
% 0.15/0.41 thf(f41,plain,(
% 0.15/0.41 ((mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))) = $true)),
% 0.15/0.41 inference(fool_elimination,[],[f40])).
% 0.15/0.41 thf(f40,plain,(
% 0.15/0.41 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.15/0.41 inference(rectify,[],[f15])).
% 0.15/0.41 thf(f15,axiom,(
% 0.15/0.41 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X6 : $i] : (teach @ X6 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',db)).
% 0.15/0.41 thf(f104,plain,(
% 0.15/0.41 ((eiw_di @ (sK3 @ sK2) @ sK2) = $false) | ~spl1_1),
% 0.15/0.41 inference(avatar_component_clause,[],[f102])).
% 0.15/0.41 thf(f102,plain,(
% 0.15/0.41 spl1_1 <=> ((eiw_di @ (sK3 @ sK2) @ sK2) = $false)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.15/0.41 thf(f120,plain,(
% 0.15/0.41 ~spl1_2),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f119])).
% 0.15/0.41 thf(f119,plain,(
% 0.15/0.41 $false | ~spl1_2),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f113])).
% 0.15/0.41 thf(f113,plain,(
% 0.15/0.41 ($true = $false) | ~spl1_2),
% 0.15/0.41 inference(superposition,[],[f79,f108])).
% 0.15/0.41 thf(f108,plain,(
% 0.15/0.41 ((mrel @ mactual @ sK2) = $false) | ~spl1_2),
% 0.15/0.41 inference(avatar_component_clause,[],[f106])).
% 0.15/0.41 thf(f79,plain,(
% 0.15/0.41 ((mrel @ mactual @ sK2) = $true)),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f77])).
% 0.15/0.41 thf(f77,plain,(
% 0.15/0.41 (((mrel @ mactual @ sK2) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (teach @ Y0 @ cs @ sK2))))) = $false)),
% 0.15/0.41 inference(beta_eta_normalization,[],[f76])).
% 0.15/0.41 thf(f76,plain,(
% 0.15/0.41 (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (teach @ Y1 @ cs @ Y0)))))) @ sK2) = $false)),
% 0.15/0.41 inference(sigma_clausification,[],[f75])).
% 0.15/0.41 thf(f75,plain,(
% 0.15/0.41 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) & (teach @ Y1 @ cs @ Y0))))))) != $true)),
% 0.15/0.41 inference(beta_eta_normalization,[],[f74])).
% 0.15/0.41 thf(f74,plain,(
% 0.15/0.41 (((^[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))))) != $true)),
% 0.15/0.41 inference(definition_unfolding,[],[f61,f68,f69,f63])).
% 0.15/0.41 thf(f61,plain,(
% 0.15/0.41 ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.15/0.41 inference(cnf_transformation,[],[f50])).
% 0.15/0.41 thf(f50,plain,(
% 0.15/0.41 ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.15/0.41 inference(flattening,[],[f45])).
% 0.15/0.41 thf(f45,plain,(
% 0.15/0.41 ~($true = (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.15/0.41 inference(fool_elimination,[],[f44])).
% 0.15/0.41 thf(f44,plain,(
% 0.15/0.41 ~(mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs)))))),
% 0.15/0.41 inference(rectify,[],[f17])).
% 0.15/0.41 thf(f17,negated_conjecture,(
% 0.15/0.41 ~(mlocal @ (mbox @ (mexists_di @ (^[X6 : $i] : (teach @ X6 @ cs)))))),
% 0.15/0.41 inference(negated_conjecture,[],[f16])).
% 0.15/0.41 thf(f16,conjecture,(
% 0.15/0.41 (mlocal @ (mbox @ (mexists_di @ (^[X6 : $i] : (teach @ X6 @ cs)))))),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query)).
% 0.15/0.41 thf(f110,plain,(
% 0.15/0.41 spl1_2 | spl1_1),
% 0.15/0.41 inference(avatar_split_clause,[],[f99,f102,f106])).
% 0.15/0.41 thf(f99,plain,(
% 0.15/0.41 ((mrel @ mactual @ sK2) = $false) | ((eiw_di @ (sK3 @ sK2) @ sK2) = $false)),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f97])).
% 0.15/0.41 thf(f97,plain,(
% 0.15/0.41 ((mrel @ mactual @ sK2) = $false) | ($true = $false) | ((eiw_di @ (sK3 @ sK2) @ sK2) = $false)),
% 0.15/0.41 inference(superposition,[],[f95,f82])).
% 0.15/0.41 thf(f82,plain,(
% 0.15/0.41 ( ! [X1 : $i] : (((teach @ X1 @ cs @ sK2) = $false) | ((eiw_di @ X1 @ sK2) = $false)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f81])).
% 0.15/0.41 thf(f81,plain,(
% 0.15/0.41 ( ! [X1 : $i] : ((((eiw_di @ X1 @ sK2) & (teach @ X1 @ cs @ sK2)) = $false)) )),
% 0.15/0.41 inference(beta_eta_normalization,[],[f80])).
% 0.15/0.41 thf(f80,plain,(
% 0.15/0.41 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (teach @ Y0 @ cs @ sK2))) @ X1) = $false)) )),
% 0.15/0.41 inference(pi_clausification,[],[f78])).
% 0.15/0.41 thf(f78,plain,(
% 0.15/0.41 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK2) & (teach @ Y0 @ cs @ sK2)))) = $false)),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f77])).
% 0.15/0.41 thf(f95,plain,(
% 0.15/0.41 ( ! [X1 : mworld] : (($true = (teach @ (sK3 @ X1) @ cs @ X1)) | ((mrel @ mactual @ X1) = $false)) )),
% 0.15/0.41 inference(binary_proxy_clausification,[],[f94])).
% 0.15/0.41 % SZS output end Proof for theBenchmark
% 0.15/0.41 % (19264)------------------------------
% 0.15/0.41 % (19264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (19264)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (19264)Memory used [KB]: 5628
% 0.15/0.41 % (19264)Time elapsed: 0.011 s
% 0.15/0.41 % (19264)Instructions burned: 9 (million)
% 0.15/0.41 % (19264)------------------------------
% 0.15/0.41 % (19264)------------------------------
% 0.15/0.41 % (19263)Success in time 0.022 s
% 0.15/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------