TSTP Solution File: DAT334^21 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT334^21 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16 % Problem : DAT334^21 : TPTP v8.2.0. Released v8.1.0.
% 0.18/0.18 % 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
% 0.19/0.41 % Computer : n003.cluster.edu
% 0.19/0.41 % Model : x86_64 x86_64
% 0.19/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41 % Memory : 8042.1875MB
% 0.19/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41 % CPULimit : 300
% 0.19/0.41 % WCLimit : 300
% 0.19/0.41 % DateTime : Sun May 19 23:36:53 EDT 2024
% 0.19/0.42 % CPUTime :
% 0.19/0.42 This is a TH0_THM_EQU_NAR problem
% 0.19/0.42 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/benchmark/theBenchmark.p
% 0.19/0.44 % (4568)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)
% 0.19/0.44 % (4569)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)
% 0.19/0.44 % (4570)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.44 % (4568)Instruction limit reached!
% 0.19/0.44 % (4568)------------------------------
% 0.19/0.44 % (4568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (4568)Termination reason: Unknown
% 0.19/0.44 % (4568)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (4568)Memory used [KB]: 1023
% 0.19/0.44 % (4568)Time elapsed: 0.003 s
% 0.19/0.44 % (4568)Instructions burned: 2 (million)
% 0.19/0.44 % (4568)------------------------------
% 0.19/0.44 % (4568)------------------------------
% 0.19/0.44 % (4565)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)
% 0.19/0.44 % (4564)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.19/0.44 % (4567)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.44 % (4569)Refutation not found, incomplete strategy
% 0.19/0.44 % (4569)------------------------------
% 0.19/0.44 % (4569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (4569)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % (4569)Memory used [KB]: 5500
% 0.19/0.44 % (4569)Time elapsed: 0.004 s
% 0.19/0.44 % (4569)Instructions burned: 3 (million)
% 0.19/0.44 % (4569)------------------------------
% 0.19/0.44 % (4569)------------------------------
% 0.19/0.44 % (4567)Instruction limit reached!
% 0.19/0.44 % (4567)------------------------------
% 0.19/0.44 % (4567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (4567)Termination reason: Unknown
% 0.19/0.44 % (4567)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (4567)Memory used [KB]: 1023
% 0.19/0.44 % (4567)Time elapsed: 0.003 s
% 0.19/0.44 % (4567)Instructions burned: 2 (million)
% 0.19/0.44 % (4567)------------------------------
% 0.19/0.44 % (4567)------------------------------
% 0.19/0.44 % (4565)Instruction limit reached!
% 0.19/0.44 % (4565)------------------------------
% 0.19/0.44 % (4565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (4565)Termination reason: Unknown
% 0.19/0.44 % (4565)Termination phase: Saturation
% 0.19/0.44
% 0.19/0.44 % (4565)Memory used [KB]: 5500
% 0.19/0.44 % (4565)Time elapsed: 0.004 s
% 0.19/0.44 % (4565)Instructions burned: 4 (million)
% 0.19/0.44 % (4565)------------------------------
% 0.19/0.44 % (4565)------------------------------
% 0.19/0.44 % (4570)First to succeed.
% 0.19/0.45 % (4571)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)
% 0.19/0.45 % (4564)Also succeeded, but the first one will report.
% 0.19/0.45 % (4570)Refutation found. Thanks to Tanya!
% 0.19/0.45 % SZS status Theorem for theBenchmark
% 0.19/0.45 % SZS output start Proof for theBenchmark
% 0.19/0.45 thf(type_def_5, type, mworld: $tType).
% 0.19/0.45 thf(func_def_0, type, mworld: $tType).
% 0.19/0.45 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.19/0.45 thf(func_def_2, type, mactual: mworld).
% 0.19/0.45 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.19/0.45 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.19/0.45 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.45 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.45 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.45 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.45 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.19/0.45 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.19/0.45 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.19/0.45 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.19/0.45 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.19/0.45 thf(func_def_21, type, teach: $i > $i > mworld > $o).
% 0.19/0.45 thf(func_def_35, type, sK0: mworld > $i).
% 0.19/0.45 thf(func_def_36, type, sK1: mworld > mworld).
% 0.19/0.45 thf(func_def_38, type, sK3: mworld > $i).
% 0.19/0.45 thf(func_def_39, type, sK4: mworld).
% 0.19/0.45 thf(f114,plain,(
% 0.19/0.45 $false),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f113])).
% 0.19/0.45 thf(f113,plain,(
% 0.19/0.45 ($true = $false)),
% 0.19/0.45 inference(backward_demodulation,[],[f100,f112])).
% 0.19/0.45 thf(f112,plain,(
% 0.19/0.45 ($false = (eiw_di @ (sK3 @ sK4) @ sK4))),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f109])).
% 0.19/0.45 thf(f109,plain,(
% 0.19/0.45 ($true = $false) | ($false = (eiw_di @ (sK3 @ sK4) @ sK4))),
% 0.19/0.45 inference(superposition,[],[f108,f92])).
% 0.19/0.45 thf(f92,plain,(
% 0.19/0.45 ( ! [X1 : $i] : (($false = (teach @ X1 @ cs @ sK4)) | ((eiw_di @ X1 @ sK4) = $false)) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f91])).
% 0.19/0.45 thf(f91,plain,(
% 0.19/0.45 ( ! [X1 : $i] : (($false = ((teach @ X1 @ cs @ sK4) & (eiw_di @ X1 @ sK4)))) )),
% 0.19/0.45 inference(beta_eta_normalization,[],[f90])).
% 0.19/0.45 thf(f90,plain,(
% 0.19/0.45 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((teach @ Y0 @ cs @ sK4) & (eiw_di @ Y0 @ sK4))) @ X1))) )),
% 0.19/0.45 inference(pi_clausification,[],[f88])).
% 0.19/0.45 thf(f88,plain,(
% 0.19/0.45 ((?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ sK4) & (eiw_di @ Y0 @ sK4)))) = $false)),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f87])).
% 0.19/0.45 thf(f87,plain,(
% 0.19/0.45 ($false = ((mrel @ mactual @ sK4) => (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ sK4) & (eiw_di @ Y0 @ sK4))))))),
% 0.19/0.45 inference(beta_eta_normalization,[],[f86])).
% 0.19/0.45 thf(f86,plain,(
% 0.19/0.45 ($false = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0)))))) @ sK4))),
% 0.19/0.45 inference(sigma_clausification,[],[f85])).
% 0.19/0.45 thf(f85,plain,(
% 0.19/0.45 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((teach @ Y1 @ cs @ Y0) & (eiw_di @ Y1 @ Y0))))))) != $true)),
% 0.19/0.45 inference(beta_eta_normalization,[],[f69])).
% 0.19/0.45 thf(f69,plain,(
% 0.19/0.45 (((^[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)),
% 0.19/0.45 inference(definition_unfolding,[],[f54,f66,f63,f64])).
% 0.19/0.45 thf(f64,plain,(
% 0.19/0.45 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.19/0.45 inference(cnf_transformation,[],[f29])).
% 0.19/0.45 thf(f29,plain,(
% 0.19/0.45 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.19/0.45 inference(fool_elimination,[],[f28])).
% 0.19/0.45 thf(f28,plain,(
% 0.19/0.45 (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))))),
% 0.19/0.45 inference(rectify,[],[f13])).
% 0.19/0.45 thf(f13,axiom,(
% 0.19/0.45 (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : ((eiw_di @ X5 @ X2) & (X1 @ X5 @ X2)))))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def)).
% 0.19/0.45 thf(f63,plain,(
% 0.19/0.45 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.19/0.45 inference(cnf_transformation,[],[f40])).
% 0.19/0.45 thf(f40,plain,(
% 0.19/0.45 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.19/0.45 inference(fool_elimination,[],[f39])).
% 0.19/0.45 thf(f39,plain,(
% 0.19/0.45 (mbox = (^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))))),
% 0.19/0.45 inference(rectify,[],[f7])).
% 0.19/0.45 thf(f7,axiom,(
% 0.19/0.45 (mbox = (^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def)).
% 0.19/0.45 thf(f66,plain,(
% 0.19/0.45 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.19/0.45 inference(cnf_transformation,[],[f38])).
% 0.19/0.45 thf(f38,plain,(
% 0.19/0.45 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.19/0.45 inference(fool_elimination,[],[f1])).
% 0.19/0.45 thf(f1,axiom,(
% 0.19/0.45 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.19/0.45 thf(f54,plain,(
% 0.19/0.45 ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.19/0.45 inference(cnf_transformation,[],[f47])).
% 0.19/0.45 thf(f47,plain,(
% 0.19/0.45 ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.19/0.45 inference(flattening,[],[f35])).
% 0.19/0.45 thf(f35,plain,(
% 0.19/0.45 ~($true = (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))))))),
% 0.19/0.45 inference(fool_elimination,[],[f34])).
% 0.19/0.45 thf(f34,plain,(
% 0.19/0.45 ~(mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs)))))),
% 0.19/0.45 inference(rectify,[],[f16])).
% 0.19/0.45 thf(f16,negated_conjecture,(
% 0.19/0.45 ~(mlocal @ (mbox @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs)))))),
% 0.19/0.45 inference(negated_conjecture,[],[f15])).
% 0.19/0.45 thf(f15,conjecture,(
% 0.19/0.45 (mlocal @ (mbox @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs)))))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',query)).
% 0.19/0.45 thf(f108,plain,(
% 0.19/0.45 ($true = (teach @ (sK3 @ sK4) @ cs @ sK4))),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f101])).
% 0.19/0.45 thf(f101,plain,(
% 0.19/0.45 ($true = $false) | ($true = (teach @ (sK3 @ sK4) @ cs @ sK4))),
% 0.19/0.45 inference(superposition,[],[f82,f89])).
% 0.19/0.45 thf(f89,plain,(
% 0.19/0.45 ($true = (mrel @ mactual @ sK4))),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f87])).
% 0.19/0.45 thf(f82,plain,(
% 0.19/0.45 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = (teach @ (sK3 @ X1) @ cs @ X1))) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f80])).
% 0.19/0.45 thf(f80,plain,(
% 0.19/0.45 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((teach @ (sK3 @ X1) @ cs @ X1) & (eiw_di @ (sK3 @ X1) @ X1)) = $true)) )),
% 0.19/0.45 inference(beta_eta_normalization,[],[f79])).
% 0.19/0.45 thf(f79,plain,(
% 0.19/0.45 ( ! [X1 : mworld] : (($true = ((^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1))) @ (sK3 @ X1))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.19/0.45 inference(sigma_clausification,[],[f78])).
% 0.19/0.45 thf(f78,plain,(
% 0.19/0.45 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = (?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1)))))) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f75])).
% 0.19/0.45 thf(f75,plain,(
% 0.19/0.45 ( ! [X1 : mworld] : ((((?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1)))) & ((teach @ mary @ psych @ X1) & (teach @ sue @ psych @ X1))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f74])).
% 0.19/0.45 thf(f74,plain,(
% 0.19/0.45 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((teach @ john @ math @ X1) & ((?? @ $i @ (^[Y0 : $i]: ((teach @ Y0 @ cs @ X1) & (eiw_di @ Y0 @ X1)))) & ((teach @ mary @ psych @ X1) & (teach @ sue @ psych @ X1)))))) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f73])).
% 0.19/0.45 thf(f73,plain,(
% 0.19/0.45 ( ! [X1 : mworld] : ((((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))))) = $true)) )),
% 0.19/0.45 inference(beta_eta_normalization,[],[f72])).
% 0.19/0.45 thf(f72,plain,(
% 0.19/0.45 ( ! [X1 : mworld] : (($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))) )),
% 0.19/0.45 inference(pi_clausification,[],[f71])).
% 0.19/0.45 thf(f71,plain,(
% 0.19/0.45 ((!! @ 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))))))) = $true)),
% 0.19/0.45 inference(beta_eta_normalization,[],[f70])).
% 0.19/0.45 thf(f70,plain,(
% 0.19/0.45 ($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)))))))),
% 0.19/0.45 inference(definition_unfolding,[],[f57,f66,f63,f55,f55,f64,f55])).
% 0.19/0.45 thf(f55,plain,(
% 0.19/0.45 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.19/0.45 inference(cnf_transformation,[],[f42])).
% 0.19/0.45 thf(f42,plain,(
% 0.19/0.45 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.19/0.45 inference(fool_elimination,[],[f41])).
% 0.19/0.45 thf(f41,plain,(
% 0.19/0.45 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 0.19/0.45 inference(rectify,[],[f3])).
% 0.19/0.45 thf(f3,axiom,(
% 0.19/0.45 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))) = mand)),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def)).
% 0.19/0.45 thf(f57,plain,(
% 0.19/0.45 ($true = (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))))),
% 0.19/0.45 inference(cnf_transformation,[],[f33])).
% 0.19/0.45 thf(f33,plain,(
% 0.19/0.45 ($true = (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[Y0 : $i]: (teach @ Y0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))))),
% 0.19/0.45 inference(fool_elimination,[],[f32])).
% 0.19/0.45 thf(f32,plain,(
% 0.19/0.45 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X0 : $i] : (teach @ X0 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.19/0.45 inference(rectify,[],[f14])).
% 0.19/0.45 thf(f14,axiom,(
% 0.19/0.45 (mlocal @ (mbox @ (mand @ (teach @ john @ math) @ (mand @ (mexists_di @ (^[X5 : $i] : (teach @ X5 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych))))))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',db)).
% 0.19/0.45 thf(f100,plain,(
% 0.19/0.45 ($true = (eiw_di @ (sK3 @ sK4) @ sK4))),
% 0.19/0.45 inference(trivial_inequality_removal,[],[f93])).
% 0.19/0.45 thf(f93,plain,(
% 0.19/0.45 ($true = (eiw_di @ (sK3 @ sK4) @ sK4)) | ($true = $false)),
% 0.19/0.45 inference(superposition,[],[f81,f89])).
% 0.19/0.45 thf(f81,plain,(
% 0.19/0.45 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = (eiw_di @ (sK3 @ X1) @ X1))) )),
% 0.19/0.45 inference(binary_proxy_clausification,[],[f80])).
% 0.19/0.45 % SZS output end Proof for theBenchmark
% 0.19/0.45 % (4570)------------------------------
% 0.19/0.45 % (4570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (4570)Termination reason: Refutation
% 0.19/0.45
% 0.19/0.45 % (4570)Memory used [KB]: 5628
% 0.19/0.45 % (4570)Time elapsed: 0.010 s
% 0.19/0.45 % (4570)Instructions burned: 10 (million)
% 0.19/0.45 % (4570)------------------------------
% 0.19/0.45 % (4570)------------------------------
% 0.19/0.45 % (4563)Success in time 0.013 s
% 0.19/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------