TSTP Solution File: DAT334^21 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT334^21 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 : Sun May 5 05:05:20 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16 % Problem : DAT334^21 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.17 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.37 % Computer : n019.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri May 3 12:59:44 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a TH0_THM_EQU_NAR problem
% 0.14/0.37 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/sandbox/tmp/tmp.NO0wweFq9x/Vampire---4.8_17335
% 0.14/0.38 % (17449)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (17449)Instruction limit reached!
% 0.14/0.38 % (17449)------------------------------
% 0.14/0.38 % (17449)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (17449)Termination reason: Unknown
% 0.14/0.38 % (17449)Termination phase: Clausification
% 0.14/0.38
% 0.14/0.38 % (17449)Memory used [KB]: 1023
% 0.14/0.38 % (17449)Time elapsed: 0.002 s
% 0.14/0.38 % (17449)Instructions burned: 3 (million)
% 0.14/0.38 % (17449)------------------------------
% 0.14/0.38 % (17449)------------------------------
% 0.14/0.39 % (17446)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.39 % (17447)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 Vampire---4 for (2999ds/4Mi)
% 0.14/0.39 % (17448)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 Vampire---4 for (2999ds/27Mi)
% 0.14/0.39 % (17450)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.39 % (17451)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.39 % (17452)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.39 % (17450)Instruction limit reached!
% 0.14/0.39 % (17450)------------------------------
% 0.14/0.39 % (17450)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (17450)Termination reason: Unknown
% 0.14/0.39 % (17450)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (17450)Memory used [KB]: 895
% 0.14/0.39 % (17450)Time elapsed: 0.003 s
% 0.14/0.39 % (17450)Instructions burned: 2 (million)
% 0.14/0.39 % (17450)------------------------------
% 0.14/0.39 % (17450)------------------------------
% 0.14/0.39 % (17451)Refutation not found, incomplete strategy
% 0.14/0.39 % (17451)------------------------------
% 0.14/0.39 % (17451)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (17447)Instruction limit reached!
% 0.14/0.39 % (17447)------------------------------
% 0.14/0.39 % (17447)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (17451)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (17451)Memory used [KB]: 5500
% 0.14/0.39 % (17451)Time elapsed: 0.004 s
% 0.14/0.39 % (17451)Instructions burned: 3 (million)
% 0.14/0.39 % (17451)------------------------------
% 0.14/0.39 % (17451)------------------------------
% 0.14/0.39 % (17447)Termination reason: Unknown
% 0.14/0.39 % (17447)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (17447)Memory used [KB]: 5500
% 0.14/0.39 % (17447)Time elapsed: 0.005 s
% 0.14/0.39 % (17447)Instructions burned: 5 (million)
% 0.14/0.39 % (17447)------------------------------
% 0.14/0.39 % (17447)------------------------------
% 0.14/0.39 % (17454)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 Vampire---4 for (2999ds/37Mi)
% 0.14/0.39 % (17453)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.40 % (17453)Instruction limit reached!
% 0.14/0.40 % (17453)------------------------------
% 0.14/0.40 % (17453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (17453)Termination reason: Unknown
% 0.14/0.40 % (17453)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (17453)Memory used [KB]: 1023
% 0.14/0.40 % (17453)Time elapsed: 0.004 s
% 0.14/0.40 % (17453)Instructions burned: 3 (million)
% 0.14/0.40 % (17453)------------------------------
% 0.14/0.40 % (17453)------------------------------
% 0.14/0.40 % (17446)First to succeed.
% 0.14/0.40 % (17452)Also succeeded, but the first one will report.
% 0.14/0.40 % (17446)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for Vampire---4
% 0.14/0.40 % SZS output start Proof for Vampire---4
% 0.14/0.40 thf(type_def_5, type, mworld: $tType).
% 0.14/0.40 thf(func_def_0, type, mworld: $tType).
% 0.14/0.40 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.14/0.40 thf(func_def_2, type, mactual: mworld).
% 0.14/0.40 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.14/0.40 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.14/0.40 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.14/0.40 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.14/0.40 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.14/0.40 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.14/0.40 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.14/0.40 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.14/0.40 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.14/0.40 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.14/0.40 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.14/0.40 thf(func_def_21, type, teach: $i > $i > mworld > $o).
% 0.14/0.40 thf(func_def_35, type, sK0: mworld > mworld).
% 0.14/0.40 thf(func_def_36, type, sK1: mworld > $i).
% 0.14/0.40 thf(func_def_38, type, sK3: mworld > $i).
% 0.14/0.40 thf(func_def_39, type, sK4: mworld).
% 0.14/0.40 thf(f126,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(avatar_sat_refutation,[],[f106,f112,f125])).
% 0.14/0.40 thf(f125,plain,(
% 0.14/0.40 ~spl2_1 | spl2_2),
% 0.14/0.40 inference(avatar_contradiction_clause,[],[f124])).
% 0.14/0.40 thf(f124,plain,(
% 0.14/0.40 $false | (~spl2_1 | spl2_2)),
% 0.14/0.40 inference(subsumption_resolution,[],[f118,f103])).
% 0.14/0.40 thf(f103,plain,(
% 0.14/0.40 ((mrel @ mactual @ sK4) != $false) | spl2_2),
% 0.14/0.40 inference(avatar_component_clause,[],[f102])).
% 0.14/0.40 thf(f102,plain,(
% 0.14/0.40 spl2_2 <=> ((mrel @ mactual @ sK4) = $false)),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.14/0.40 thf(f118,plain,(
% 0.14/0.40 ((mrel @ mactual @ sK4) = $false) | ~spl2_1),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f114])).
% 0.14/0.40 thf(f114,plain,(
% 0.14/0.40 ((mrel @ mactual @ sK4) = $false) | ($true = $false) | ~spl2_1),
% 0.14/0.40 inference(superposition,[],[f100,f81])).
% 0.14/0.40 thf(f81,plain,(
% 0.14/0.40 ( ! [X1 : mworld] : (($true = (eiw_di @ (sK3 @ X1) @ X1)) | ($false = (mrel @ mactual @ X1))) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f80])).
% 0.14/0.40 thf(f80,plain,(
% 0.14/0.40 ( ! [X1 : mworld] : (($true = ((teach @ (sK3 @ X1) @ cs @ X1) & (eiw_di @ (sK3 @ X1) @ X1))) | ($false = (mrel @ mactual @ X1))) )),
% 0.14/0.40 inference(beta_eta_normalization,[],[f79])).
% 0.14/0.40 thf(f79,plain,(
% 0.14/0.40 ( ! [X1 : mworld] : (($true = ((^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1))) @ (sK3 @ X1))) | ($false = (mrel @ mactual @ X1))) )),
% 0.14/0.40 inference(sigma_clausification,[],[f78])).
% 0.14/0.40 thf(f78,plain,(
% 0.14/0.40 ( ! [X1 : mworld] : (($true = (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1))))) | ($false = (mrel @ mactual @ X1))) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f75])).
% 0.14/0.40 thf(f75,plain,(
% 0.14/0.40 ( ! [X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ($true = ((?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1)))) & ((teach @ mary @ psych @ X1) & (teach @ sue @ psych @ X1))))) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f74])).
% 0.14/0.40 thf(f74,plain,(
% 0.14/0.40 ( ! [X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ($true = ((teach @ john @ math @ X1) & ((?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1)))) & ((teach @ mary @ psych @ X1) & (teach @ sue @ psych @ X1)))))) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f73])).
% 0.14/0.40 thf(f73,plain,(
% 0.14/0.40 ( ! [X1 : mworld] : (($true = ((mrel @ mactual @ X1) => ((teach @ john @ math @ X1) & ((?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1)))) & ((teach @ mary @ psych @ X1) & (teach @ sue @ psych @ X1))))))) )),
% 0.14/0.40 inference(beta_eta_normalization,[],[f72])).
% 0.14/0.40 thf(f72,plain,(
% 0.14/0.40 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((teach @ john @ math @ Y0) & ((?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0)))) & ((teach @ mary @ psych @ Y0) & (teach @ sue @ psych @ Y0)))))) @ X1))) )),
% 0.14/0.40 inference(pi_clausification,[],[f71])).
% 0.14/0.40 thf(f71,plain,(
% 0.14/0.40 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((teach @ john @ math @ Y0) & ((?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0)))) & ((teach @ mary @ psych @ Y0) & (teach @ sue @ psych @ Y0))))))))),
% 0.14/0.40 inference(beta_eta_normalization,[],[f70])).
% 0.14/0.40 thf(f70,plain,(
% 0.14/0.40 ($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]: ((Y0 @ Y2 @ Y1) & (eiw_di @ 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)))))))),
% 0.14/0.40 inference(definition_unfolding,[],[f66,f68,f61,f67,f67,f56,f67])).
% 0.14/0.40 thf(f56,plain,(
% 0.14/0.40 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.14/0.40 inference(cnf_transformation,[],[f33])).
% 0.14/0.40 thf(f33,plain,(
% 0.14/0.40 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.14/0.40 inference(fool_elimination,[],[f32])).
% 0.14/0.40 thf(f32,plain,(
% 0.14/0.40 (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))))),
% 0.14/0.40 inference(rectify,[],[f13])).
% 0.14/0.40 thf(f13,axiom,(
% 0.14/0.40 (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : ((eiw_di @ X5 @ X2) & (X1 @ X5 @ X2)))))),
% 0.14/0.40 file('/export/starexec/sandbox/tmp/tmp.NO0wweFq9x/Vampire---4.8_17335',mexists_di_def)).
% 0.14/0.40 thf(f67,plain,(
% 0.14/0.40 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.14/0.40 inference(cnf_transformation,[],[f42])).
% 0.14/0.40 thf(f42,plain,(
% 0.14/0.40 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.14/0.40 inference(fool_elimination,[],[f41])).
% 0.14/0.40 thf(f41,plain,(
% 0.14/0.40 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 0.14/0.40 inference(rectify,[],[f3])).
% 0.14/0.40 thf(f3,axiom,(
% 0.14/0.40 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))) = mand)),
% 0.14/0.40 file('/export/starexec/sandbox/tmp/tmp.NO0wweFq9x/Vampire---4.8_17335',mand_def)).
% 0.14/0.40 thf(f61,plain,(
% 0.14/0.40 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.14/0.40 inference(cnf_transformation,[],[f44])).
% 0.14/0.40 thf(f44,plain,(
% 0.14/0.40 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.14/0.40 inference(fool_elimination,[],[f43])).
% 0.14/0.40 thf(f43,plain,(
% 0.14/0.40 ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.14/0.40 inference(rectify,[],[f7])).
% 0.14/0.40 thf(f7,axiom,(
% 0.14/0.40 ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 0.14/0.40 file('/export/starexec/sandbox/tmp/tmp.NO0wweFq9x/Vampire---4.8_17335',mbox_def)).
% 0.14/0.40 thf(f68,plain,(
% 0.14/0.40 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.14/0.40 inference(cnf_transformation,[],[f38])).
% 0.14/0.40 thf(f38,plain,(
% 0.14/0.40 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.14/0.40 inference(fool_elimination,[],[f1])).
% 0.14/0.40 thf(f1,axiom,(
% 0.14/0.40 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.14/0.40 file('/export/starexec/sandbox/tmp/tmp.NO0wweFq9x/Vampire---4.8_17335',mlocal_def)).
% 0.14/0.40 thf(f66,plain,(
% 0.14/0.40 ($true = (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))))),
% 0.14/0.40 inference(cnf_transformation,[],[f35])).
% 0.14/0.40 thf(f35,plain,(
% 0.14/0.40 ($true = (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))))),
% 0.14/0.40 inference(fool_elimination,[],[f34])).
% 0.14/0.40 thf(f34,plain,(
% 0.14/0.40 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.14/0.40 inference(rectify,[],[f14])).
% 0.14/0.40 thf(f14,axiom,(
% 0.14/0.40 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.14/0.40 file('/export/starexec/sandbox/tmp/tmp.NO0wweFq9x/Vampire---4.8_17335',db)).
% 0.14/0.40 thf(f100,plain,(
% 0.14/0.40 ((eiw_di @ (sK3 @ sK4) @ sK4) = $false) | ~spl2_1),
% 0.14/0.40 inference(avatar_component_clause,[],[f98])).
% 0.14/0.40 thf(f98,plain,(
% 0.14/0.40 spl2_1 <=> ((eiw_di @ (sK3 @ sK4) @ sK4) = $false)),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.14/0.40 thf(f112,plain,(
% 0.14/0.40 ~spl2_2),
% 0.14/0.40 inference(avatar_contradiction_clause,[],[f111])).
% 0.14/0.40 thf(f111,plain,(
% 0.14/0.40 $false | ~spl2_2),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f107])).
% 0.14/0.40 thf(f107,plain,(
% 0.14/0.40 ($true = $false) | ~spl2_2),
% 0.14/0.40 inference(superposition,[],[f104,f89])).
% 0.14/0.40 thf(f89,plain,(
% 0.14/0.40 ($true = (mrel @ mactual @ sK4))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f87])).
% 0.14/0.40 thf(f87,plain,(
% 0.14/0.40 (((mrel @ mactual @ sK4) => (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ sK4) & (eiw_di @ Y0 @ sK4))))) = $false)),
% 0.14/0.40 inference(beta_eta_normalization,[],[f86])).
% 0.14/0.40 thf(f86,plain,(
% 0.14/0.40 (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0)))))) @ sK4) = $false)),
% 0.14/0.40 inference(sigma_clausification,[],[f85])).
% 0.14/0.40 thf(f85,plain,(
% 0.14/0.40 ($true != (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0))))))))),
% 0.14/0.40 inference(beta_eta_normalization,[],[f69])).
% 0.14/0.40 thf(f69,plain,(
% 0.14/0.40 ($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]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.14/0.40 inference(definition_unfolding,[],[f60,f68,f61,f56])).
% 0.14/0.40 thf(f60,plain,(
% 0.14/0.40 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))) != $true)),
% 0.14/0.40 inference(cnf_transformation,[],[f47])).
% 0.14/0.40 thf(f47,plain,(
% 0.14/0.40 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))) != $true)),
% 0.14/0.40 inference(flattening,[],[f46])).
% 0.14/0.40 thf(f46,plain,(
% 0.14/0.40 ~((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))) = $true)),
% 0.14/0.40 inference(fool_elimination,[],[f45])).
% 0.14/0.40 thf(f45,plain,(
% 0.14/0.40 ~(mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs)))))),
% 0.14/0.40 inference(rectify,[],[f16])).
% 0.14/0.40 thf(f16,negated_conjecture,(
% 0.14/0.40 ~(mlocal @ (mbox @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs)))))),
% 0.14/0.40 inference(negated_conjecture,[],[f15])).
% 0.14/0.40 thf(f15,conjecture,(
% 0.14/0.40 (mlocal @ (mbox @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs)))))),
% 0.14/0.40 file('/export/starexec/sandbox/tmp/tmp.NO0wweFq9x/Vampire---4.8_17335',query)).
% 0.14/0.40 thf(f104,plain,(
% 0.14/0.40 ((mrel @ mactual @ sK4) = $false) | ~spl2_2),
% 0.14/0.40 inference(avatar_component_clause,[],[f102])).
% 0.14/0.40 thf(f106,plain,(
% 0.14/0.40 spl2_1 | spl2_2),
% 0.14/0.40 inference(avatar_split_clause,[],[f95,f102,f98])).
% 0.14/0.40 thf(f95,plain,(
% 0.14/0.40 ((eiw_di @ (sK3 @ sK4) @ sK4) = $false) | ((mrel @ mactual @ sK4) = $false)),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f93])).
% 0.14/0.40 thf(f93,plain,(
% 0.14/0.40 ((mrel @ mactual @ sK4) = $false) | ($true = $false) | ((eiw_di @ (sK3 @ sK4) @ sK4) = $false)),
% 0.14/0.40 inference(superposition,[],[f82,f92])).
% 0.14/0.40 thf(f92,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (($false = (teach @ X1 @ cs @ sK4)) | ($false = (eiw_di @ X1 @ sK4))) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f91])).
% 0.14/0.40 thf(f91,plain,(
% 0.14/0.40 ( ! [X1 : $i] : ((((teach @ X1 @ cs @ sK4) & (eiw_di @ X1 @ sK4)) = $false)) )),
% 0.14/0.40 inference(beta_eta_normalization,[],[f90])).
% 0.14/0.40 thf(f90,plain,(
% 0.14/0.40 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((teach @ Y0 @ cs @ sK4) & (eiw_di @ Y0 @ sK4))) @ X1) = $false)) )),
% 0.14/0.40 inference(pi_clausification,[],[f88])).
% 0.14/0.40 thf(f88,plain,(
% 0.14/0.40 ((?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ sK4) & (eiw_di @ Y0 @ sK4)))) = $false)),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f87])).
% 0.14/0.40 thf(f82,plain,(
% 0.14/0.40 ( ! [X1 : mworld] : (($true = (teach @ (sK3 @ X1) @ cs @ X1)) | ($false = (mrel @ mactual @ X1))) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f80])).
% 0.14/0.40 % SZS output end Proof for Vampire---4
% 0.14/0.40 % (17446)------------------------------
% 0.14/0.40 % (17446)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (17446)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (17446)Memory used [KB]: 5628
% 0.14/0.40 % (17446)Time elapsed: 0.011 s
% 0.14/0.40 % (17446)Instructions burned: 10 (million)
% 0.14/0.40 % (17446)------------------------------
% 0.14/0.40 % (17446)------------------------------
% 0.14/0.40 % (17445)Success in time 0.019 s
% 0.14/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------