TSTP Solution File: DAT334^19 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT334^19 : 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 : n016.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 05:05:19 EDT 2024
% Result : Theorem 0.17s 0.36s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : DAT334^19 : TPTP v8.1.2. Released v8.1.0.
% 0.02/0.12 % 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
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 13:28:15 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 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.E0W2lVtooO/Vampire---4.8_8263
% 0.17/0.35 % (8375)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.17/0.35 % (8376)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)
% 0.17/0.35 % (8377)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)
% 0.17/0.35 % (8379)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)
% 0.17/0.35 % (8374)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)
% 0.17/0.35 % (8373)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)
% 0.17/0.35 % (8378)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.17/0.35 % (8375)Instruction limit reached!
% 0.17/0.35 % (8375)------------------------------
% 0.17/0.35 % (8375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (8375)Termination reason: Unknown
% 0.17/0.35 % (8375)Termination phase: Property scanning
% 0.17/0.35
% 0.17/0.35 % (8376)Instruction limit reached!
% 0.17/0.35 % (8376)------------------------------
% 0.17/0.35 % (8376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (8376)Termination reason: Unknown
% 0.17/0.35 % (8376)Termination phase: Property scanning
% 0.17/0.35
% 0.17/0.35 % (8376)Memory used [KB]: 1023
% 0.17/0.35 % (8376)Time elapsed: 0.003 s
% 0.17/0.35 % (8376)Instructions burned: 2 (million)
% 0.17/0.35 % (8376)------------------------------
% 0.17/0.35 % (8376)------------------------------
% 0.17/0.35 % (8375)Memory used [KB]: 1023
% 0.17/0.35 % (8375)Time elapsed: 0.003 s
% 0.17/0.35 % (8375)Instructions burned: 2 (million)
% 0.17/0.35 % (8375)------------------------------
% 0.17/0.35 % (8375)------------------------------
% 0.17/0.35 % (8379)Instruction limit reached!
% 0.17/0.35 % (8379)------------------------------
% 0.17/0.35 % (8379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (8379)Termination reason: Unknown
% 0.17/0.35 % (8379)Termination phase: Preprocessing 3
% 0.17/0.35
% 0.17/0.35 % (8379)Memory used [KB]: 1023
% 0.17/0.35 % (8379)Time elapsed: 0.003 s
% 0.17/0.35 % (8379)Instructions burned: 3 (million)
% 0.17/0.35 % (8379)------------------------------
% 0.17/0.35 % (8379)------------------------------
% 0.17/0.35 % (8373)Instruction limit reached!
% 0.17/0.35 % (8373)------------------------------
% 0.17/0.35 % (8373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (8373)Termination reason: Unknown
% 0.17/0.35 % (8373)Termination phase: Property scanning
% 0.17/0.35
% 0.17/0.35 % (8373)Memory used [KB]: 1023
% 0.17/0.35 % (8377)Refutation not found, incomplete strategy
% 0.17/0.35 % (8377)------------------------------
% 0.17/0.35 % (8377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (8373)Time elapsed: 0.003 s
% 0.17/0.35 % (8373)Instructions burned: 4 (million)
% 0.17/0.35 % (8373)------------------------------
% 0.17/0.35 % (8373)------------------------------
% 0.17/0.35 % (8377)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.35
% 0.17/0.35
% 0.17/0.35 % (8377)Memory used [KB]: 5500
% 0.17/0.35 % (8377)Time elapsed: 0.003 s
% 0.17/0.35 % (8377)Instructions burned: 3 (million)
% 0.17/0.35 % (8377)------------------------------
% 0.17/0.35 % (8377)------------------------------
% 0.17/0.35 % (8372)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)
% 0.17/0.35 % (8378)First to succeed.
% 0.17/0.36 % (8374)Also succeeded, but the first one will report.
% 0.17/0.36 % (8378)Refutation found. Thanks to Tanya!
% 0.17/0.36 % SZS status Theorem for Vampire---4
% 0.17/0.36 % SZS output start Proof for Vampire---4
% 0.17/0.36 thf(type_def_5, type, mworld: $tType).
% 0.17/0.36 thf(func_def_0, type, mworld: $tType).
% 0.17/0.36 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.17/0.36 thf(func_def_2, type, mactual: mworld).
% 0.17/0.36 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.17/0.36 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.17/0.36 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.36 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.36 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.36 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.36 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.17/0.36 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.17/0.36 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.17/0.36 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.17/0.36 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.17/0.36 thf(func_def_21, type, teach: $i > $i > mworld > $o).
% 0.17/0.36 thf(func_def_35, type, sK0: mworld > $i).
% 0.17/0.36 thf(func_def_37, type, sK2: mworld).
% 0.17/0.36 thf(func_def_38, type, sK3: mworld > $i).
% 0.17/0.36 thf(f100,plain,(
% 0.17/0.36 $false),
% 0.17/0.36 inference(trivial_inequality_removal,[],[f99])).
% 0.17/0.36 thf(f99,plain,(
% 0.17/0.36 ($true = $false)),
% 0.17/0.36 inference(backward_demodulation,[],[f90,f98])).
% 0.17/0.36 thf(f98,plain,(
% 0.17/0.36 ((eiw_di @ (sK3 @ sK2) @ sK2) = $false)),
% 0.17/0.36 inference(trivial_inequality_removal,[],[f95])).
% 0.17/0.36 thf(f95,plain,(
% 0.17/0.36 ($true = $false) | ((eiw_di @ (sK3 @ sK2) @ sK2) = $false)),
% 0.17/0.36 inference(superposition,[],[f94,f72])).
% 0.17/0.36 thf(f72,plain,(
% 0.17/0.36 ( ! [X1 : $i] : (((teach @ X1 @ cs @ sK2) = $false) | ((eiw_di @ X1 @ sK2) = $false)) )),
% 0.17/0.36 inference(binary_proxy_clausification,[],[f71])).
% 0.17/0.36 thf(f71,plain,(
% 0.17/0.36 ( ! [X1 : $i] : (($false = ((teach @ X1 @ cs @ sK2) & (eiw_di @ X1 @ sK2)))) )),
% 0.17/0.36 inference(beta_eta_normalization,[],[f70])).
% 0.17/0.36 thf(f70,plain,(
% 0.17/0.36 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((teach @ Y0 @ cs @ sK2) & (eiw_di @ Y0 @ sK2))) @ X1) = $false)) )),
% 0.17/0.36 inference(pi_clausification,[],[f68])).
% 0.17/0.36 thf(f68,plain,(
% 0.17/0.36 ($false = (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ sK2) & (eiw_di @ Y0 @ sK2)))))),
% 0.17/0.36 inference(binary_proxy_clausification,[],[f67])).
% 0.17/0.36 thf(f67,plain,(
% 0.17/0.36 (((mrel @ mactual @ sK2) => (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ sK2) & (eiw_di @ Y0 @ sK2))))) = $false)),
% 0.17/0.36 inference(beta_eta_normalization,[],[f66])).
% 0.17/0.36 thf(f66,plain,(
% 0.17/0.36 (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0)))))) @ sK2) = $false)),
% 0.17/0.36 inference(sigma_clausification,[],[f65])).
% 0.17/0.36 thf(f65,plain,(
% 0.17/0.36 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0))))))) != $true)),
% 0.17/0.36 inference(beta_eta_normalization,[],[f64])).
% 0.17/0.36 thf(f64,plain,(
% 0.17/0.36 (((^[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))))) != $true)),
% 0.17/0.36 inference(definition_unfolding,[],[f62,f54,f51,f61])).
% 0.17/0.36 thf(f61,plain,(
% 0.17/0.36 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.17/0.36 inference(cnf_transformation,[],[f43])).
% 0.17/0.36 thf(f43,plain,(
% 0.17/0.36 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.17/0.36 inference(fool_elimination,[],[f42])).
% 0.17/0.36 thf(f42,plain,(
% 0.17/0.36 ((^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))) = mexists_di)),
% 0.17/0.36 inference(rectify,[],[f12])).
% 0.17/0.36 thf(f12,axiom,(
% 0.17/0.36 ((^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : ((eiw_di @ X5 @ X2) & (X1 @ X5 @ X2)))) = mexists_di)),
% 0.17/0.36 file('/export/starexec/sandbox/tmp/tmp.E0W2lVtooO/Vampire---4.8_8263',mexists_di_def)).
% 0.17/0.36 thf(f51,plain,(
% 0.17/0.36 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.17/0.36 inference(cnf_transformation,[],[f41])).
% 0.17/0.36 thf(f41,plain,(
% 0.17/0.36 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.17/0.36 inference(fool_elimination,[],[f40])).
% 0.17/0.36 thf(f40,plain,(
% 0.17/0.36 (mbox = (^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))))),
% 0.17/0.36 inference(rectify,[],[f7])).
% 0.17/0.36 thf(f7,axiom,(
% 0.17/0.36 (mbox = (^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))))),
% 0.17/0.36 file('/export/starexec/sandbox/tmp/tmp.E0W2lVtooO/Vampire---4.8_8263',mbox_def)).
% 0.17/0.36 thf(f54,plain,(
% 0.17/0.36 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.17/0.36 inference(cnf_transformation,[],[f37])).
% 0.17/0.36 thf(f37,plain,(
% 0.17/0.36 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.17/0.36 inference(fool_elimination,[],[f1])).
% 0.17/0.36 thf(f1,axiom,(
% 0.17/0.36 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.17/0.36 file('/export/starexec/sandbox/tmp/tmp.E0W2lVtooO/Vampire---4.8_8263',mlocal_def)).
% 0.17/0.36 thf(f62,plain,(
% 0.17/0.36 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))) != $true)),
% 0.17/0.36 inference(cnf_transformation,[],[f44])).
% 0.17/0.36 thf(f44,plain,(
% 0.17/0.36 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))) != $true)),
% 0.17/0.36 inference(flattening,[],[f28])).
% 0.17/0.36 thf(f28,plain,(
% 0.17/0.36 ~((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))) = $true)),
% 0.17/0.36 inference(fool_elimination,[],[f27])).
% 0.17/0.36 thf(f27,plain,(
% 0.17/0.36 ~(mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs)))))),
% 0.17/0.36 inference(rectify,[],[f15])).
% 0.17/0.36 thf(f15,negated_conjecture,(
% 0.17/0.36 ~(mlocal @ (mbox @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs)))))),
% 0.17/0.36 inference(negated_conjecture,[],[f14])).
% 0.17/0.36 thf(f14,conjecture,(
% 0.17/0.36 (mlocal @ (mbox @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs)))))),
% 0.17/0.36 file('/export/starexec/sandbox/tmp/tmp.E0W2lVtooO/Vampire---4.8_8263',query)).
% 0.17/0.36 thf(f94,plain,(
% 0.17/0.36 ($true = (teach @ (sK3 @ sK2) @ cs @ sK2))),
% 0.17/0.36 inference(trivial_inequality_removal,[],[f91])).
% 0.17/0.36 thf(f91,plain,(
% 0.17/0.36 ($true = (teach @ (sK3 @ sK2) @ cs @ sK2)) | ($true = $false)),
% 0.17/0.36 inference(superposition,[],[f86,f69])).
% 0.17/0.36 thf(f69,plain,(
% 0.17/0.36 ((mrel @ mactual @ sK2) = $true)),
% 0.17/0.36 inference(binary_proxy_clausification,[],[f67])).
% 0.17/0.36 thf(f86,plain,(
% 0.17/0.36 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((teach @ (sK3 @ X1) @ cs @ X1) = $true)) )),
% 0.17/0.36 inference(binary_proxy_clausification,[],[f84])).
% 0.17/0.36 thf(f84,plain,(
% 0.17/0.36 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((teach @ (sK3 @ X1) @ cs @ X1) & (eiw_di @ (sK3 @ X1) @ X1)) = $true)) )),
% 0.17/0.36 inference(beta_eta_normalization,[],[f83])).
% 0.17/0.36 thf(f83,plain,(
% 0.17/0.36 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1))) @ (sK3 @ X1)) = $true)) )),
% 0.17/0.36 inference(sigma_clausification,[],[f79])).
% 0.17/0.36 thf(f79,plain,(
% 0.17/0.36 ( ! [X1 : mworld] : (($true = (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1))))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.17/0.36 inference(binary_proxy_clausification,[],[f78])).
% 0.17/0.36 thf(f78,plain,(
% 0.17/0.36 ( ! [X1 : mworld] : (((((teach @ sue @ psych @ X1) & (teach @ mary @ psych @ X1)) & (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.17/0.36 inference(binary_proxy_clausification,[],[f76])).
% 0.17/0.36 thf(f76,plain,(
% 0.17/0.36 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((((teach @ sue @ psych @ X1) & (teach @ mary @ psych @ X1)) & (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1))))) & (teach @ john @ math @ X1)) = $true)) )),
% 0.17/0.36 inference(binary_proxy_clausification,[],[f75])).
% 0.17/0.36 thf(f75,plain,(
% 0.17/0.36 ( ! [X1 : mworld] : (($true = ((mrel @ mactual @ X1) => ((((teach @ sue @ psych @ X1) & (teach @ mary @ psych @ X1)) & (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1))))) & (teach @ john @ math @ X1))))) )),
% 0.17/0.36 inference(beta_eta_normalization,[],[f74])).
% 0.17/0.36 thf(f74,plain,(
% 0.17/0.36 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((((teach @ sue @ psych @ Y0) & (teach @ mary @ psych @ Y0)) & (?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0))))) & (teach @ john @ math @ Y0)))) @ X1))) )),
% 0.17/0.36 inference(pi_clausification,[],[f73])).
% 0.17/0.36 thf(f73,plain,(
% 0.17/0.36 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((((teach @ sue @ psych @ Y0) & (teach @ mary @ psych @ Y0)) & (?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0))))) & (teach @ john @ math @ Y0))))) = $true)),
% 0.17/0.36 inference(beta_eta_normalization,[],[f63])).
% 0.17/0.36 thf(f63,plain,(
% 0.17/0.36 ($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]: ((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]: ((Y0 @ Y2 @ Y1) & (eiw_di @ 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)))))))),
% 0.17/0.36 inference(definition_unfolding,[],[f55,f54,f51,f57,f57,f61,f57])).
% 0.17/0.36 thf(f57,plain,(
% 0.17/0.36 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.17/0.36 inference(cnf_transformation,[],[f26])).
% 0.17/0.36 thf(f26,plain,(
% 0.17/0.36 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.17/0.36 inference(fool_elimination,[],[f25])).
% 0.17/0.36 thf(f25,plain,(
% 0.17/0.36 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))) = mand)),
% 0.17/0.36 inference(rectify,[],[f3])).
% 0.17/0.36 thf(f3,axiom,(
% 0.17/0.36 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))) = mand)),
% 0.17/0.36 file('/export/starexec/sandbox/tmp/tmp.E0W2lVtooO/Vampire---4.8_8263',mand_def)).
% 0.17/0.36 thf(f55,plain,(
% 0.17/0.36 ($true = (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))))),
% 0.17/0.36 inference(cnf_transformation,[],[f32])).
% 0.17/0.36 thf(f32,plain,(
% 0.17/0.36 ($true = (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))))),
% 0.17/0.36 inference(fool_elimination,[],[f31])).
% 0.17/0.36 thf(f31,plain,(
% 0.17/0.36 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.17/0.36 inference(rectify,[],[f13])).
% 0.17/0.36 thf(f13,axiom,(
% 0.17/0.36 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.17/0.36 file('/export/starexec/sandbox/tmp/tmp.E0W2lVtooO/Vampire---4.8_8263',db)).
% 0.17/0.36 thf(f90,plain,(
% 0.17/0.36 ((eiw_di @ (sK3 @ sK2) @ sK2) = $true)),
% 0.17/0.36 inference(trivial_inequality_removal,[],[f88])).
% 0.17/0.36 thf(f88,plain,(
% 0.17/0.36 ((eiw_di @ (sK3 @ sK2) @ sK2) = $true) | ($true = $false)),
% 0.17/0.36 inference(superposition,[],[f69,f85])).
% 0.17/0.36 thf(f85,plain,(
% 0.17/0.36 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = (eiw_di @ (sK3 @ X1) @ X1))) )),
% 0.17/0.36 inference(binary_proxy_clausification,[],[f84])).
% 0.17/0.36 % SZS output end Proof for Vampire---4
% 0.17/0.36 % (8378)------------------------------
% 0.17/0.36 % (8378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (8378)Termination reason: Refutation
% 0.17/0.36
% 0.17/0.36 % (8378)Memory used [KB]: 5628
% 0.17/0.36 % (8378)Time elapsed: 0.008 s
% 0.17/0.36 % (8378)Instructions burned: 8 (million)
% 0.17/0.36 % (8378)------------------------------
% 0.17/0.36 % (8378)------------------------------
% 0.17/0.36 % (8371)Success in time 0.02 s
% 0.17/0.36 % Vampire---4.8 exiting
%------------------------------------------------------------------------------