TSTP Solution File: DAT334^8 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT334^8 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : DAT334^8 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.10 % 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
% 0.10/0.30 % Computer : n017.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 12:26:36 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a TH0_THM_EQU_NAR problem
% 0.10/0.31 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/tmp/tmp.QfGpFssiKe/Vampire---4.8_15053
% 0.15/0.32 % (15168)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.32 % (15166)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)
% 0.15/0.32 % (15167)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)
% 0.15/0.32 % (15166)Instruction limit reached!
% 0.15/0.32 % (15166)------------------------------
% 0.15/0.32 % (15166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (15166)Termination reason: Unknown
% 0.15/0.32 % (15166)Termination phase: Property scanning
% 0.15/0.32
% 0.15/0.32 % (15166)Memory used [KB]: 1023
% 0.15/0.32 % (15166)Time elapsed: 0.002 s
% 0.15/0.32 % (15166)Instructions burned: 2 (million)
% 0.15/0.32 % (15166)------------------------------
% 0.15/0.32 % (15166)------------------------------
% 0.15/0.32 % (15165)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.32 % (15162)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)
% 0.15/0.32 % (15164)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)
% 0.15/0.32 % (15163)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)
% 0.15/0.32 % (15169)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)
% 0.15/0.32 % (15167)Refutation not found, incomplete strategy
% 0.15/0.32 % (15167)------------------------------
% 0.15/0.32 % (15167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (15165)Instruction limit reached!
% 0.15/0.32 % (15165)------------------------------
% 0.15/0.32 % (15165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (15165)Termination reason: Unknown
% 0.15/0.32 % (15165)Termination phase: Property scanning
% 0.15/0.32
% 0.15/0.32 % (15165)Memory used [KB]: 1023
% 0.15/0.32 % (15165)Time elapsed: 0.002 s
% 0.15/0.32 % (15165)Instructions burned: 2 (million)
% 0.15/0.32 % (15165)------------------------------
% 0.15/0.32 % (15165)------------------------------
% 0.15/0.32 % (15167)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.32
% 0.15/0.32
% 0.15/0.32 % (15167)Memory used [KB]: 5500
% 0.15/0.32 % (15167)Time elapsed: 0.002 s
% 0.15/0.32 % (15167)Instructions burned: 2 (million)
% 0.15/0.32 % (15167)------------------------------
% 0.15/0.32 % (15167)------------------------------
% 0.15/0.32 % (15169)Instruction limit reached!
% 0.15/0.32 % (15169)------------------------------
% 0.15/0.32 % (15169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (15169)Termination reason: Unknown
% 0.15/0.32 % (15169)Termination phase: Property scanning
% 0.15/0.32
% 0.15/0.32 % (15169)Memory used [KB]: 1023
% 0.15/0.32 % (15169)Time elapsed: 0.003 s
% 0.15/0.32 % (15169)Instructions burned: 4 (million)
% 0.15/0.32 % (15169)------------------------------
% 0.15/0.32 % (15169)------------------------------
% 0.15/0.32 % (15163)Instruction limit reached!
% 0.15/0.32 % (15163)------------------------------
% 0.15/0.32 % (15163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (15163)Termination reason: Unknown
% 0.15/0.32 % (15163)Termination phase: Saturation
% 0.15/0.32
% 0.15/0.32 % (15163)Memory used [KB]: 5500
% 0.15/0.32 % (15163)Time elapsed: 0.004 s
% 0.15/0.32 % (15163)Instructions burned: 5 (million)
% 0.15/0.32 % (15163)------------------------------
% 0.15/0.32 % (15163)------------------------------
% 0.15/0.32 % (15168)First to succeed.
% 0.15/0.33 % (15162)Also succeeded, but the first one will report.
% 0.15/0.33 % (15164)Also succeeded, but the first one will report.
% 0.15/0.33 % (15168)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Theorem for Vampire---4
% 0.15/0.33 % SZS output start Proof for Vampire---4
% 0.15/0.33 thf(type_def_5, type, mworld: $tType).
% 0.15/0.33 thf(func_def_0, type, mworld: $tType).
% 0.15/0.33 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.15/0.33 thf(func_def_2, type, mactual: mworld).
% 0.15/0.33 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.15/0.33 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.15/0.33 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.33 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.33 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.33 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.15/0.33 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.15/0.33 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.15/0.33 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.15/0.33 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.15/0.33 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.15/0.33 thf(func_def_21, type, teach: $i > $i > mworld > $o).
% 0.15/0.33 thf(func_def_35, type, sK0: mworld > $i).
% 0.15/0.33 thf(func_def_37, type, sK2: mworld).
% 0.15/0.33 thf(func_def_38, type, sK3: mworld > $i).
% 0.15/0.33 thf(f106,plain,(
% 0.15/0.33 $false),
% 0.15/0.33 inference(trivial_inequality_removal,[],[f105])).
% 0.15/0.33 thf(f105,plain,(
% 0.15/0.33 ($false = $true)),
% 0.15/0.33 inference(backward_demodulation,[],[f91,f104])).
% 0.15/0.33 thf(f104,plain,(
% 0.15/0.33 ($false = (eiw_di @ (sK3 @ sK2) @ sK2))),
% 0.15/0.33 inference(trivial_inequality_removal,[],[f102])).
% 0.15/0.33 thf(f102,plain,(
% 0.15/0.33 ($false = (eiw_di @ (sK3 @ sK2) @ sK2)) | ($false = $true)),
% 0.15/0.33 inference(superposition,[],[f70,f99])).
% 0.15/0.33 thf(f99,plain,(
% 0.15/0.33 ($true = (teach @ (sK3 @ sK2) @ cs @ sK2))),
% 0.15/0.33 inference(trivial_inequality_removal,[],[f93])).
% 0.15/0.33 thf(f93,plain,(
% 0.15/0.33 ($false = $true) | ($true = (teach @ (sK3 @ sK2) @ cs @ sK2))),
% 0.15/0.33 inference(superposition,[],[f82,f67])).
% 0.15/0.33 thf(f67,plain,(
% 0.15/0.33 ($true = (mrel @ mactual @ sK2))),
% 0.15/0.33 inference(binary_proxy_clausification,[],[f65])).
% 0.15/0.33 thf(f65,plain,(
% 0.15/0.33 ($false = ((mrel @ mactual @ sK2) => (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ sK2) & (eiw_di @ Y0 @ sK2))))))),
% 0.15/0.33 inference(beta_eta_normalization,[],[f64])).
% 0.15/0.33 thf(f64,plain,(
% 0.15/0.33 (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0)))))) @ sK2) = $false)),
% 0.15/0.33 inference(sigma_clausification,[],[f63])).
% 0.15/0.33 thf(f63,plain,(
% 0.15/0.33 ($true != (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0))))))))),
% 0.15/0.33 inference(beta_eta_normalization,[],[f61])).
% 0.15/0.33 thf(f61,plain,(
% 0.15/0.33 ($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))))))),
% 0.15/0.33 inference(definition_unfolding,[],[f52,f58,f50,f56])).
% 0.15/0.33 thf(f56,plain,(
% 0.15/0.33 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.15/0.33 inference(cnf_transformation,[],[f32])).
% 0.15/0.33 thf(f32,plain,(
% 0.15/0.33 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.15/0.33 inference(fool_elimination,[],[f31])).
% 0.15/0.33 thf(f31,plain,(
% 0.15/0.33 ((^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))) = mexists_di)),
% 0.15/0.33 inference(rectify,[],[f12])).
% 0.15/0.33 thf(f12,axiom,(
% 0.15/0.33 ((^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : ((eiw_di @ X5 @ X2) & (X1 @ X5 @ X2)))) = mexists_di)),
% 0.15/0.33 file('/export/starexec/sandbox2/tmp/tmp.QfGpFssiKe/Vampire---4.8_15053',mexists_di_def)).
% 0.15/0.33 thf(f50,plain,(
% 0.15/0.33 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.15/0.33 inference(cnf_transformation,[],[f20])).
% 0.15/0.33 thf(f20,plain,(
% 0.15/0.33 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.15/0.33 inference(fool_elimination,[],[f19])).
% 0.15/0.33 thf(f19,plain,(
% 0.15/0.33 (mbox = (^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))))),
% 0.15/0.33 inference(rectify,[],[f7])).
% 0.15/0.33 thf(f7,axiom,(
% 0.15/0.33 (mbox = (^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))))),
% 0.15/0.33 file('/export/starexec/sandbox2/tmp/tmp.QfGpFssiKe/Vampire---4.8_15053',mbox_def)).
% 0.15/0.33 thf(f58,plain,(
% 0.15/0.33 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.15/0.33 inference(cnf_transformation,[],[f41])).
% 0.15/0.33 thf(f41,plain,(
% 0.15/0.33 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.15/0.33 inference(fool_elimination,[],[f1])).
% 0.15/0.33 thf(f1,axiom,(
% 0.15/0.33 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.15/0.33 file('/export/starexec/sandbox2/tmp/tmp.QfGpFssiKe/Vampire---4.8_15053',mlocal_def)).
% 0.15/0.33 thf(f52,plain,(
% 0.15/0.33 ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.15/0.33 inference(cnf_transformation,[],[f44])).
% 0.15/0.33 thf(f44,plain,(
% 0.15/0.33 ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.15/0.33 inference(flattening,[],[f24])).
% 0.15/0.33 thf(f24,plain,(
% 0.15/0.33 ~($true = (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.15/0.33 inference(fool_elimination,[],[f23])).
% 0.15/0.33 thf(f23,plain,(
% 0.15/0.33 ~(mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs)))))),
% 0.15/0.33 inference(rectify,[],[f15])).
% 0.15/0.33 thf(f15,negated_conjecture,(
% 0.15/0.33 ~(mlocal @ (mbox @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs)))))),
% 0.15/0.33 inference(negated_conjecture,[],[f14])).
% 0.15/0.33 thf(f14,conjecture,(
% 0.15/0.33 (mlocal @ (mbox @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs)))))),
% 0.15/0.33 file('/export/starexec/sandbox2/tmp/tmp.QfGpFssiKe/Vampire---4.8_15053',query)).
% 0.15/0.33 thf(f82,plain,(
% 0.15/0.33 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = (teach @ (sK3 @ X1) @ cs @ X1))) )),
% 0.15/0.33 inference(binary_proxy_clausification,[],[f80])).
% 0.15/0.33 thf(f80,plain,(
% 0.15/0.33 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((teach @ (sK3 @ X1) @ cs @ X1) & (eiw_di @ (sK3 @ X1) @ X1)))) )),
% 0.15/0.33 inference(beta_eta_normalization,[],[f79])).
% 0.15/0.33 thf(f79,plain,(
% 0.15/0.33 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1))) @ (sK3 @ X1)))) )),
% 0.15/0.33 inference(sigma_clausification,[],[f78])).
% 0.15/0.33 thf(f78,plain,(
% 0.15/0.33 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1)))))) )),
% 0.15/0.33 inference(binary_proxy_clausification,[],[f75])).
% 0.15/0.33 thf(f75,plain,(
% 0.15/0.33 ( ! [X1 : mworld] : (($true = ((?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1)))) & ((teach @ mary @ psych @ X1) & (teach @ sue @ psych @ X1)))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.15/0.33 inference(binary_proxy_clausification,[],[f74])).
% 0.15/0.33 thf(f74,plain,(
% 0.15/0.33 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((teach @ john @ math @ X1) & ((?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1)))) & ((teach @ mary @ psych @ X1) & (teach @ sue @ psych @ X1)))) = $true)) )),
% 0.15/0.33 inference(binary_proxy_clausification,[],[f73])).
% 0.15/0.33 thf(f73,plain,(
% 0.15/0.33 ( ! [X1 : mworld] : (($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))))))) )),
% 0.15/0.33 inference(beta_eta_normalization,[],[f72])).
% 0.15/0.33 thf(f72,plain,(
% 0.15/0.33 ( ! [X1 : 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)))))) @ X1) = $true)) )),
% 0.15/0.33 inference(pi_clausification,[],[f71])).
% 0.15/0.33 thf(f71,plain,(
% 0.15/0.33 ($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))))))))),
% 0.15/0.33 inference(beta_eta_normalization,[],[f62])).
% 0.15/0.33 thf(f62,plain,(
% 0.15/0.33 (((^[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)))))) = $true)),
% 0.15/0.33 inference(definition_unfolding,[],[f54,f58,f50,f60,f60,f56,f60])).
% 0.15/0.33 thf(f60,plain,(
% 0.15/0.33 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.15/0.33 inference(cnf_transformation,[],[f40])).
% 0.15/0.33 thf(f40,plain,(
% 0.15/0.33 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.15/0.33 inference(fool_elimination,[],[f39])).
% 0.15/0.33 thf(f39,plain,(
% 0.15/0.33 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 0.15/0.33 inference(rectify,[],[f3])).
% 0.15/0.33 thf(f3,axiom,(
% 0.15/0.33 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))) = mand)),
% 0.15/0.33 file('/export/starexec/sandbox2/tmp/tmp.QfGpFssiKe/Vampire---4.8_15053',mand_def)).
% 0.15/0.33 thf(f54,plain,(
% 0.15/0.33 ($true = (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))))),
% 0.15/0.33 inference(cnf_transformation,[],[f34])).
% 0.15/0.33 thf(f34,plain,(
% 0.15/0.33 ($true = (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))))),
% 0.15/0.33 inference(fool_elimination,[],[f33])).
% 0.15/0.33 thf(f33,plain,(
% 0.15/0.33 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.15/0.33 inference(rectify,[],[f13])).
% 0.15/0.33 thf(f13,axiom,(
% 0.15/0.33 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.15/0.33 file('/export/starexec/sandbox2/tmp/tmp.QfGpFssiKe/Vampire---4.8_15053',db)).
% 0.15/0.33 thf(f70,plain,(
% 0.15/0.33 ( ! [X1 : $i] : (($false = (teach @ X1 @ cs @ sK2)) | ((eiw_di @ X1 @ sK2) = $false)) )),
% 0.15/0.33 inference(binary_proxy_clausification,[],[f69])).
% 0.15/0.33 thf(f69,plain,(
% 0.15/0.33 ( ! [X1 : $i] : (($false = ((teach @ X1 @ cs @ sK2) & (eiw_di @ X1 @ sK2)))) )),
% 0.15/0.33 inference(beta_eta_normalization,[],[f68])).
% 0.15/0.33 thf(f68,plain,(
% 0.15/0.33 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((teach @ Y0 @ cs @ sK2) & (eiw_di @ Y0 @ sK2))) @ X1))) )),
% 0.15/0.33 inference(pi_clausification,[],[f66])).
% 0.15/0.33 thf(f66,plain,(
% 0.15/0.33 ($false = (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ sK2) & (eiw_di @ Y0 @ sK2)))))),
% 0.15/0.33 inference(binary_proxy_clausification,[],[f65])).
% 0.15/0.33 thf(f91,plain,(
% 0.15/0.33 ($true = (eiw_di @ (sK3 @ sK2) @ sK2))),
% 0.15/0.33 inference(trivial_inequality_removal,[],[f85])).
% 0.15/0.33 thf(f85,plain,(
% 0.15/0.33 ($true = (eiw_di @ (sK3 @ sK2) @ sK2)) | ($false = $true)),
% 0.15/0.33 inference(superposition,[],[f81,f67])).
% 0.15/0.33 thf(f81,plain,(
% 0.15/0.33 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((eiw_di @ (sK3 @ X1) @ X1) = $true)) )),
% 0.15/0.33 inference(binary_proxy_clausification,[],[f80])).
% 0.15/0.33 % SZS output end Proof for Vampire---4
% 0.15/0.33 % (15168)------------------------------
% 0.15/0.33 % (15168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (15168)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (15168)Memory used [KB]: 5628
% 0.15/0.33 % (15168)Time elapsed: 0.008 s
% 0.15/0.33 % (15168)Instructions burned: 8 (million)
% 0.15/0.33 % (15168)------------------------------
% 0.15/0.33 % (15168)------------------------------
% 0.15/0.33 % (15161)Success in time 0.015 s
% 0.15/0.33 % Vampire---4.8 exiting
%------------------------------------------------------------------------------