TSTP Solution File: PUZ081^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PUZ081^1 : TPTP v8.1.2. Released v3.6.0.
% 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 : n008.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 08:49:07 EDT 2024
% Result : Theorem 0.17s 0.40s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : PUZ081^1 : TPTP v8.1.2. Released v3.6.0.
% 0.08/0.15 % 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
% 0.17/0.37 % Computer : n008.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Fri May 3 18:04:38 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.17/0.37 This is a TH0_THM_EQU_NAR problem
% 0.17/0.37 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.r4b4GCiAa7/Vampire---4.8_12168
% 0.17/0.39 % (12454)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.17/0.39 % (12453)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)
% 0.17/0.39 % (12455)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)
% 0.17/0.39 % (12452)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)
% 0.17/0.39 % (12456)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)
% 0.17/0.39 % (12457)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.17/0.39 % (12455)Instruction limit reached!
% 0.17/0.39 % (12455)------------------------------
% 0.17/0.39 % (12455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (12455)Termination reason: Unknown
% 0.17/0.39 % (12455)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (12455)Memory used [KB]: 895
% 0.17/0.39 % (12455)Time elapsed: 0.003 s
% 0.17/0.39 % (12455)Instructions burned: 2 (million)
% 0.17/0.39 % (12455)------------------------------
% 0.17/0.39 % (12455)------------------------------
% 0.17/0.39 % (12454)Instruction limit reached!
% 0.17/0.39 % (12454)------------------------------
% 0.17/0.39 % (12454)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (12454)Termination reason: Unknown
% 0.17/0.39 % (12454)Termination phase: Saturation
% 0.17/0.39
% 0.17/0.39 % (12454)Memory used [KB]: 5500
% 0.17/0.39 % (12454)Time elapsed: 0.004 s
% 0.17/0.39 % (12454)Instructions burned: 3 (million)
% 0.17/0.39 % (12454)------------------------------
% 0.17/0.39 % (12454)------------------------------
% 0.17/0.39 % (12452)Instruction limit reached!
% 0.17/0.39 % (12452)------------------------------
% 0.17/0.39 % (12452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (12452)Termination reason: Unknown
% 0.17/0.39 % (12452)Termination phase: Saturation
% 0.17/0.39
% 0.17/0.39 % (12452)Memory used [KB]: 5500
% 0.17/0.39 % (12452)Time elapsed: 0.004 s
% 0.17/0.39 % (12452)Instructions burned: 4 (million)
% 0.17/0.39 % (12452)------------------------------
% 0.17/0.39 % (12452)------------------------------
% 0.17/0.39 % (12456)Refutation not found, incomplete strategy
% 0.17/0.39 % (12456)------------------------------
% 0.17/0.39 % (12456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (12456)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.39
% 0.17/0.39
% 0.17/0.39 % (12456)Memory used [KB]: 5500
% 0.17/0.39 % (12456)Time elapsed: 0.004 s
% 0.17/0.39 % (12456)Instructions burned: 2 (million)
% 0.17/0.39 % (12456)------------------------------
% 0.17/0.39 % (12456)------------------------------
% 0.17/0.40 % (12458)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)
% 0.17/0.40 % (12453)First to succeed.
% 0.17/0.40 % (12458)Instruction limit reached!
% 0.17/0.40 % (12458)------------------------------
% 0.17/0.40 % (12458)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (12458)Termination reason: Unknown
% 0.17/0.40 % (12458)Termination phase: Saturation
% 0.17/0.40
% 0.17/0.40 % (12458)Memory used [KB]: 5500
% 0.17/0.40 % (12458)Time elapsed: 0.004 s
% 0.17/0.40 % (12458)Instructions burned: 3 (million)
% 0.17/0.40 % (12458)------------------------------
% 0.17/0.40 % (12458)------------------------------
% 0.17/0.40 % (12457)Also succeeded, but the first one will report.
% 0.17/0.40 % (12453)Refutation found. Thanks to Tanya!
% 0.17/0.40 % SZS status Theorem for Vampire---4
% 0.17/0.40 % SZS output start Proof for Vampire---4
% 0.17/0.40 thf(func_def_3, type, says: $i > $o > $o).
% 0.17/0.40 thf(func_def_6, type, is_a: $i > $i > $o).
% 0.17/0.40 thf(func_def_8, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.17/0.40 thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 0.17/0.40 thf(f102,plain,(
% 0.17/0.40 $false),
% 0.17/0.40 inference(avatar_sat_refutation,[],[f68,f79,f82,f87,f88,f95,f97,f101])).
% 0.17/0.40 thf(f101,plain,(
% 0.17/0.40 ~spl0_3 | ~spl0_5),
% 0.17/0.40 inference(avatar_split_clause,[],[f100,f75,f65])).
% 0.17/0.40 thf(f65,plain,(
% 0.17/0.40 spl0_3 <=> ((is_a @ zoey @ knave) = $true)),
% 0.17/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.17/0.40 thf(f75,plain,(
% 0.17/0.40 spl0_5 <=> ((is_a @ mel @ knave) = $true)),
% 0.17/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.17/0.40 thf(f100,plain,(
% 0.17/0.40 ((is_a @ zoey @ knave) != $true) | ~spl0_5),
% 0.17/0.40 inference(trivial_inequality_removal,[],[f99])).
% 0.17/0.40 thf(f99,plain,(
% 0.17/0.40 ($true != $true) | ((is_a @ zoey @ knave) != $true) | ~spl0_5),
% 0.17/0.40 inference(superposition,[],[f43,f98])).
% 0.17/0.40 thf(f98,plain,(
% 0.17/0.40 ((says @ zoey @ $true) = $true) | ~spl0_5),
% 0.17/0.40 inference(backward_demodulation,[],[f34,f76])).
% 0.17/0.40 thf(f76,plain,(
% 0.17/0.40 ((is_a @ mel @ knave) = $true) | ~spl0_5),
% 0.17/0.40 inference(avatar_component_clause,[],[f75])).
% 0.17/0.40 thf(f34,plain,(
% 0.17/0.40 ((says @ zoey @ (is_a @ mel @ knave)) = $true)),
% 0.17/0.40 inference(cnf_transformation,[],[f23])).
% 0.17/0.40 thf(f23,plain,(
% 0.17/0.40 ((says @ zoey @ (is_a @ mel @ knave)) = $true)),
% 0.17/0.40 inference(fool_elimination,[],[f22])).
% 0.17/0.40 thf(f22,plain,(
% 0.17/0.40 (says @ zoey @ (is_a @ mel @ knave))),
% 0.17/0.40 inference(rectify,[],[f5])).
% 0.17/0.40 thf(f5,axiom,(
% 0.17/0.40 (says @ zoey @ (is_a @ mel @ knave))),
% 0.17/0.40 file('/export/starexec/sandbox/tmp/tmp.r4b4GCiAa7/Vampire---4.8_12168',kk_6_5)).
% 0.17/0.40 thf(f43,plain,(
% 0.17/0.40 ( ! [X0 : $i] : (($true != (says @ X0 @ $true)) | ((is_a @ X0 @ knave) != $true)) )),
% 0.17/0.40 inference(equality_resolution,[],[f32])).
% 0.17/0.40 thf(f32,plain,(
% 0.17/0.40 ( ! [X0 : $i,X1 : $o] : (($true != X1) | ((says @ X0 @ X1) != $true) | ((is_a @ X0 @ knave) != $true)) )),
% 0.17/0.40 inference(cnf_transformation,[],[f29])).
% 0.17/0.40 thf(f29,plain,(
% 0.17/0.40 ! [X0] : (! [X1 : $o] : (($true != X1) | ((says @ X0 @ X1) != $true)) | ((is_a @ X0 @ knave) != $true))),
% 0.17/0.40 inference(ennf_transformation,[],[f24])).
% 0.17/0.40 thf(f24,plain,(
% 0.17/0.40 ! [X0] : (((is_a @ X0 @ knave) = $true) => ! [X1 : $o] : (((says @ X0 @ X1) = $true) => ($true != X1)))),
% 0.17/0.40 inference(flattening,[],[f15])).
% 0.17/0.40 thf(f15,plain,(
% 0.17/0.40 ! [X0] : (((is_a @ X0 @ knave) = $true) => ! [X1 : $o] : (((says @ X0 @ X1) = $true) => ~($true = X1)))),
% 0.17/0.40 inference(fool_elimination,[],[f14])).
% 0.17/0.40 thf(f14,plain,(
% 0.17/0.40 ! [X0] : ((is_a @ X0 @ knave) => ! [X1 : $o] : ((says @ X0 @ X1) => ~X1))),
% 0.17/0.40 inference(rectify,[],[f3])).
% 0.17/0.40 thf(f3,axiom,(
% 0.17/0.40 ! [X0] : ((is_a @ X0 @ knave) => ! [X1 : $o] : ((says @ X0 @ X1) => ~X1))),
% 0.17/0.40 file('/export/starexec/sandbox/tmp/tmp.r4b4GCiAa7/Vampire---4.8_12168',kk_6_3)).
% 0.17/0.40 thf(f97,plain,(
% 0.17/0.40 spl0_3 | ~spl0_1 | ~spl0_4),
% 0.17/0.40 inference(avatar_split_clause,[],[f96,f70,f57,f65])).
% 0.17/0.40 thf(f57,plain,(
% 0.17/0.40 spl0_1 <=> (knight = knave)),
% 0.17/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.17/0.40 thf(f70,plain,(
% 0.17/0.40 spl0_4 <=> ((is_a @ zoey @ knight) = $true)),
% 0.17/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.17/0.40 thf(f96,plain,(
% 0.17/0.40 ((is_a @ zoey @ knave) = $true) | (~spl0_1 | ~spl0_4)),
% 0.17/0.40 inference(forward_demodulation,[],[f71,f59])).
% 0.17/0.40 thf(f59,plain,(
% 0.17/0.40 (knight = knave) | ~spl0_1),
% 0.17/0.40 inference(avatar_component_clause,[],[f57])).
% 0.17/0.40 thf(f71,plain,(
% 0.17/0.40 ((is_a @ zoey @ knight) = $true) | ~spl0_4),
% 0.17/0.40 inference(avatar_component_clause,[],[f70])).
% 0.17/0.40 thf(f95,plain,(
% 0.17/0.40 spl0_5 | ~spl0_1 | ~spl0_2),
% 0.17/0.40 inference(avatar_split_clause,[],[f94,f61,f57,f75])).
% 0.17/0.40 thf(f61,plain,(
% 0.17/0.40 spl0_2 <=> ((is_a @ mel @ knight) = $true)),
% 0.17/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.17/0.40 thf(f94,plain,(
% 0.17/0.40 ((is_a @ mel @ knave) = $true) | (~spl0_1 | ~spl0_2)),
% 0.17/0.40 inference(forward_demodulation,[],[f62,f59])).
% 0.17/0.40 thf(f62,plain,(
% 0.17/0.40 ((is_a @ mel @ knight) = $true) | ~spl0_2),
% 0.17/0.40 inference(avatar_component_clause,[],[f61])).
% 0.17/0.40 thf(f88,plain,(
% 0.17/0.40 spl0_3 | spl0_4),
% 0.17/0.40 inference(avatar_split_clause,[],[f85,f70,f65])).
% 0.17/0.40 thf(f85,plain,(
% 0.17/0.40 ((is_a @ zoey @ knave) = $true) | ((is_a @ zoey @ knight) = $true)),
% 0.17/0.40 inference(trivial_inequality_removal,[],[f83])).
% 0.17/0.40 thf(f83,plain,(
% 0.17/0.40 ($true != $true) | ((is_a @ zoey @ knave) = $true) | ((is_a @ zoey @ knight) = $true)),
% 0.17/0.40 inference(superposition,[],[f33,f37])).
% 0.17/0.40 thf(f37,plain,(
% 0.17/0.40 ((is_a @ zoey @ islander) = $true)),
% 0.17/0.40 inference(cnf_transformation,[],[f21])).
% 0.17/0.40 thf(f21,plain,(
% 0.17/0.40 ((is_a @ mel @ islander) = $true) & ((is_a @ zoey @ islander) = $true)),
% 0.17/0.40 inference(fool_elimination,[],[f20])).
% 0.17/0.40 thf(f20,plain,(
% 0.17/0.40 (is_a @ zoey @ islander) & (is_a @ mel @ islander)),
% 0.17/0.40 inference(rectify,[],[f4])).
% 0.17/0.40 thf(f4,axiom,(
% 0.17/0.40 (is_a @ zoey @ islander) & (is_a @ mel @ islander)),
% 0.17/0.40 file('/export/starexec/sandbox/tmp/tmp.r4b4GCiAa7/Vampire---4.8_12168',kk_6_4)).
% 0.17/0.40 thf(f33,plain,(
% 0.17/0.40 ( ! [X0 : $i] : (((is_a @ X0 @ islander) != $true) | ((is_a @ X0 @ knight) = $true) | ((is_a @ X0 @ knave) = $true)) )),
% 0.17/0.40 inference(cnf_transformation,[],[f28])).
% 0.17/0.40 thf(f28,plain,(
% 0.17/0.40 ! [X0] : (((is_a @ X0 @ islander) != $true) | ((is_a @ X0 @ knave) = $true) | ((is_a @ X0 @ knight) = $true))),
% 0.17/0.40 inference(flattening,[],[f27])).
% 0.17/0.40 thf(f27,plain,(
% 0.17/0.40 ! [X0] : ((((is_a @ X0 @ knave) = $true) | ((is_a @ X0 @ knight) = $true)) | ((is_a @ X0 @ islander) != $true))),
% 0.17/0.40 inference(ennf_transformation,[],[f19])).
% 0.17/0.40 thf(f19,plain,(
% 0.17/0.40 ! [X0] : (((is_a @ X0 @ islander) = $true) => (((is_a @ X0 @ knave) = $true) | ((is_a @ X0 @ knight) = $true)))),
% 0.17/0.40 inference(fool_elimination,[],[f18])).
% 0.17/0.40 thf(f18,plain,(
% 0.17/0.40 ! [X0] : ((is_a @ X0 @ islander) => ((is_a @ X0 @ knight) | (is_a @ X0 @ knave)))),
% 0.17/0.40 inference(rectify,[],[f1])).
% 0.17/0.40 thf(f1,axiom,(
% 0.17/0.40 ! [X0] : ((is_a @ X0 @ islander) => ((is_a @ X0 @ knight) | (is_a @ X0 @ knave)))),
% 0.17/0.40 file('/export/starexec/sandbox/tmp/tmp.r4b4GCiAa7/Vampire---4.8_12168',kk_6_1)).
% 0.17/0.40 thf(f87,plain,(
% 0.17/0.40 spl0_5 | spl0_2),
% 0.17/0.40 inference(avatar_split_clause,[],[f86,f61,f75])).
% 0.17/0.40 thf(f86,plain,(
% 0.17/0.40 ((is_a @ mel @ knight) = $true) | ((is_a @ mel @ knave) = $true)),
% 0.17/0.40 inference(trivial_inequality_removal,[],[f84])).
% 0.17/0.40 thf(f84,plain,(
% 0.17/0.40 ((is_a @ mel @ knave) = $true) | ($true != $true) | ((is_a @ mel @ knight) = $true)),
% 0.17/0.40 inference(superposition,[],[f33,f38])).
% 0.17/0.40 thf(f38,plain,(
% 0.17/0.40 ((is_a @ mel @ islander) = $true)),
% 0.17/0.40 inference(cnf_transformation,[],[f21])).
% 0.17/0.40 thf(f82,plain,(
% 0.17/0.40 spl0_5 | ~spl0_4),
% 0.17/0.40 inference(avatar_split_clause,[],[f81,f70,f75])).
% 0.17/0.40 thf(f81,plain,(
% 0.17/0.40 ((is_a @ mel @ knave) = $true) | ((is_a @ zoey @ knight) != $true)),
% 0.17/0.40 inference(trivial_inequality_removal,[],[f80])).
% 0.17/0.40 thf(f80,plain,(
% 0.17/0.40 ($true != $true) | ((is_a @ zoey @ knight) != $true) | ((is_a @ mel @ knave) = $true)),
% 0.17/0.40 inference(superposition,[],[f35,f34])).
% 0.17/0.40 thf(f35,plain,(
% 0.17/0.40 ( ! [X0 : $i,X1 : $o] : (((says @ X0 @ X1) != $true) | ($true = X1) | ((is_a @ X0 @ knight) != $true)) )),
% 0.17/0.40 inference(cnf_transformation,[],[f26])).
% 0.17/0.40 thf(f26,plain,(
% 0.17/0.40 ! [X0] : (! [X1 : $o] : (($true = X1) | ((says @ X0 @ X1) != $true)) | ((is_a @ X0 @ knight) != $true))),
% 0.17/0.40 inference(ennf_transformation,[],[f17])).
% 0.17/0.40 thf(f17,plain,(
% 0.17/0.40 ! [X0] : (((is_a @ X0 @ knight) = $true) => ! [X1 : $o] : (((says @ X0 @ X1) = $true) => ($true = X1)))),
% 0.17/0.40 inference(fool_elimination,[],[f16])).
% 0.17/0.40 thf(f16,plain,(
% 0.17/0.40 ! [X0] : ((is_a @ X0 @ knight) => ! [X1 : $o] : ((says @ X0 @ X1) => X1))),
% 0.17/0.40 inference(rectify,[],[f2])).
% 0.17/0.40 thf(f2,axiom,(
% 0.17/0.40 ! [X0] : ((is_a @ X0 @ knight) => ! [X1 : $o] : ((says @ X0 @ X1) => X1))),
% 0.17/0.40 file('/export/starexec/sandbox/tmp/tmp.r4b4GCiAa7/Vampire---4.8_12168',kk_6_2)).
% 0.17/0.40 thf(f79,plain,(
% 0.17/0.40 spl0_1 | ~spl0_4 | ~spl0_5),
% 0.17/0.40 inference(avatar_split_clause,[],[f52,f75,f70,f57])).
% 0.17/0.40 thf(f52,plain,(
% 0.17/0.40 (knight = knave) | ((is_a @ mel @ knave) != $true) | ((is_a @ zoey @ knight) != $true)),
% 0.17/0.40 inference(duplicate_literal_removal,[],[f49])).
% 0.17/0.40 thf(f49,plain,(
% 0.17/0.40 (knight = knave) | ((is_a @ mel @ knave) != $true) | (knight = knave) | ((is_a @ zoey @ knight) != $true)),
% 0.17/0.40 inference(equality_resolution,[],[f48])).
% 0.17/0.40 thf(f48,plain,(
% 0.17/0.40 ( ! [X0 : $i] : ((knight = knave) | ((is_a @ zoey @ X0) != $true) | (knave = X0) | (knight != X0) | ((is_a @ mel @ knave) != $true)) )),
% 0.17/0.40 inference(equality_resolution,[],[f40])).
% 0.17/0.40 thf(f40,plain,(
% 0.17/0.40 ( ! [X0 : $i,X1 : $i] : ((knight = X1) | (knave != X1) | ((is_a @ zoey @ X0) != $true) | (knave = X0) | (knight != X0) | ((is_a @ mel @ X1) != $true)) )),
% 0.17/0.40 inference(cnf_transformation,[],[f31])).
% 0.17/0.40 thf(f31,plain,(
% 0.17/0.40 ! [X0,X1] : ((((knave = X1) | (knight != X1)) & ((knight = X1) | (knave != X1))) | ((is_a @ zoey @ X0) != $true) | (((knave = X0) | (knight != X0)) & ((knight = X0) | (knave != X0))) | ((is_a @ mel @ X1) != $true))),
% 0.17/0.40 inference(rectify,[],[f30])).
% 0.17/0.40 thf(f30,plain,(
% 0.17/0.40 ! [X1,X0] : ((((knave = X0) | (knight != X0)) & ((knight = X0) | (knave != X0))) | ((is_a @ zoey @ X1) != $true) | (((knave = X1) | (knight != X1)) & ((knight = X1) | (knave != X1))) | ((is_a @ mel @ X0) != $true))),
% 0.17/0.40 inference(nnf_transformation,[],[f25])).
% 0.17/0.40 thf(f25,plain,(
% 0.17/0.40 ! [X1,X0] : (((knave = X0) <=> (knight = X0)) | ((is_a @ zoey @ X1) != $true) | ((knave = X1) <=> (knight = X1)) | ((is_a @ mel @ X0) != $true))),
% 0.17/0.40 inference(ennf_transformation,[],[f13])).
% 0.17/0.40 thf(f13,plain,(
% 0.17/0.40 ~? [X1,X0] : (((is_a @ zoey @ X1) = $true) & ((knave = X1) <~> (knight = X1)) & ((knave = X0) <~> (knight = X0)) & ((is_a @ mel @ X0) = $true))),
% 0.17/0.40 inference(fool_elimination,[],[f12])).
% 0.17/0.40 thf(f12,plain,(
% 0.17/0.40 ~? [X0,X1] : ((is_a @ mel @ X0) & (is_a @ zoey @ X1) & ((knave = X1) <~> (knight = X1)) & ((knave = X0) <~> (knight = X0)))),
% 0.17/0.40 inference(rectify,[],[f8])).
% 0.17/0.40 thf(f8,negated_conjecture,(
% 0.17/0.40 ~? [X2,X3] : ((is_a @ mel @ X2) & (is_a @ zoey @ X3) & ((knave = X3) <~> (knight = X3)) & ((knave = X2) <~> (knight = X2)))),
% 0.17/0.40 inference(negated_conjecture,[],[f7])).
% 0.17/0.40 thf(f7,conjecture,(
% 0.17/0.40 ? [X2,X3] : ((is_a @ mel @ X2) & (is_a @ zoey @ X3) & ((knave = X3) <~> (knight = X3)) & ((knave = X2) <~> (knight = X2)))),
% 0.17/0.40 file('/export/starexec/sandbox/tmp/tmp.r4b4GCiAa7/Vampire---4.8_12168',query)).
% 0.17/0.40 thf(f68,plain,(
% 0.17/0.40 spl0_1 | ~spl0_2 | ~spl0_3),
% 0.17/0.40 inference(avatar_split_clause,[],[f55,f65,f61,f57])).
% 0.17/0.40 thf(f55,plain,(
% 0.17/0.40 ((is_a @ zoey @ knave) != $true) | ((is_a @ mel @ knight) != $true) | (knight = knave)),
% 0.17/0.40 inference(duplicate_literal_removal,[],[f47])).
% 0.17/0.40 thf(f47,plain,(
% 0.17/0.40 (knight = knave) | ((is_a @ mel @ knight) != $true) | ((is_a @ zoey @ knave) != $true) | (knight = knave)),
% 0.17/0.40 inference(equality_resolution,[],[f46])).
% 0.17/0.40 thf(f46,plain,(
% 0.17/0.40 ( ! [X0 : $i] : ((knight = knave) | ((is_a @ zoey @ X0) != $true) | (knight = X0) | (knave != X0) | ((is_a @ mel @ knight) != $true)) )),
% 0.17/0.40 inference(equality_resolution,[],[f41])).
% 0.17/0.40 thf(f41,plain,(
% 0.17/0.40 ( ! [X0 : $i,X1 : $i] : ((knave = X1) | (knight != X1) | ((is_a @ zoey @ X0) != $true) | (knight = X0) | (knave != X0) | ((is_a @ mel @ X1) != $true)) )),
% 0.17/0.40 inference(cnf_transformation,[],[f31])).
% 0.17/0.40 % SZS output end Proof for Vampire---4
% 0.17/0.40 % (12453)------------------------------
% 0.17/0.40 % (12453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (12453)Termination reason: Refutation
% 0.17/0.40
% 0.17/0.40 % (12453)Memory used [KB]: 5500
% 0.17/0.40 % (12453)Time elapsed: 0.008 s
% 0.17/0.40 % (12453)Instructions burned: 6 (million)
% 0.17/0.40 % (12453)------------------------------
% 0.17/0.40 % (12453)------------------------------
% 0.17/0.40 % (12449)Success in time 0.031 s
% 0.17/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------