TSTP Solution File: PUZ081^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PUZ081^2 : TPTP v8.1.2. Bugfixed v7.1.0.
% 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 : n022.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 0.19s 0.38s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ081^2 : TPTP v8.1.2. Bugfixed v7.1.0.
% 0.03/0.14 % 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
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 18:01:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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.ErpfZTJesj/Vampire---4.8_14224
% 0.19/0.37 % (14333)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)
% 0.19/0.37 % (14334)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)
% 0.19/0.37 % (14337)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)
% 0.19/0.37 % (14336)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)
% 0.19/0.37 % (14335)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.19/0.37 % (14338)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.19/0.37 % (14339)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)
% 0.19/0.37 % (14335)Instruction limit reached!
% 0.19/0.37 % (14335)------------------------------
% 0.19/0.37 % (14335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (14335)Termination reason: Unknown
% 0.19/0.37 % (14335)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (14336)Instruction limit reached!
% 0.19/0.37 % (14336)------------------------------
% 0.19/0.37 % (14336)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (14336)Termination reason: Unknown
% 0.19/0.37 % (14336)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (14336)Memory used [KB]: 1023
% 0.19/0.37 % (14336)Time elapsed: 0.003 s
% 0.19/0.37 % (14336)Instructions burned: 3 (million)
% 0.19/0.37 % (14336)------------------------------
% 0.19/0.37 % (14336)------------------------------
% 0.19/0.37 % (14335)Memory used [KB]: 5500
% 0.19/0.37 % (14335)Time elapsed: 0.003 s
% 0.19/0.37 % (14335)Instructions burned: 2 (million)
% 0.19/0.37 % (14335)------------------------------
% 0.19/0.37 % (14335)------------------------------
% 0.19/0.37 % (14337)Refutation not found, incomplete strategy
% 0.19/0.37 % (14337)------------------------------
% 0.19/0.37 % (14337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (14337)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.37
% 0.19/0.37
% 0.19/0.37 % (14337)Memory used [KB]: 5500
% 0.19/0.37 % (14337)Time elapsed: 0.003 s
% 0.19/0.37 % (14337)Instructions burned: 2 (million)
% 0.19/0.37 % (14337)------------------------------
% 0.19/0.37 % (14337)------------------------------
% 0.19/0.37 % (14333)Instruction limit reached!
% 0.19/0.37 % (14333)------------------------------
% 0.19/0.37 % (14333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (14333)Termination reason: Unknown
% 0.19/0.37 % (14333)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (14333)Memory used [KB]: 5500
% 0.19/0.37 % (14333)Time elapsed: 0.004 s
% 0.19/0.37 % (14333)Instructions burned: 4 (million)
% 0.19/0.37 % (14333)------------------------------
% 0.19/0.37 % (14333)------------------------------
% 0.19/0.37 % (14332)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)
% 0.19/0.37 % (14339)Instruction limit reached!
% 0.19/0.37 % (14339)------------------------------
% 0.19/0.37 % (14339)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (14339)Termination reason: Unknown
% 0.19/0.37 % (14339)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (14339)Memory used [KB]: 5500
% 0.19/0.37 % (14339)Time elapsed: 0.004 s
% 0.19/0.37 % (14339)Instructions burned: 4 (million)
% 0.19/0.37 % (14339)------------------------------
% 0.19/0.37 % (14339)------------------------------
% 0.19/0.37 % (14334)First to succeed.
% 0.19/0.37 % (14338)Also succeeded, but the first one will report.
% 0.19/0.38 % (14334)Refutation found. Thanks to Tanya!
% 0.19/0.38 % SZS status Theorem for Vampire---4
% 0.19/0.38 % SZS output start Proof for Vampire---4
% 0.19/0.38 thf(func_def_2, type, knight: $i > $o).
% 0.19/0.38 thf(func_def_3, type, knave: $i > $o).
% 0.19/0.38 thf(func_def_4, type, says: $i > $o > $o).
% 0.19/0.38 thf(func_def_6, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.19/0.38 thf(func_def_12, type, ph1: !>[X0: $tType]:(X0)).
% 0.19/0.38 thf(f81,plain,(
% 0.19/0.38 $false),
% 0.19/0.38 inference(avatar_sat_refutation,[],[f57,f62,f67,f68,f72,f80])).
% 0.19/0.38 thf(f80,plain,(
% 0.19/0.38 spl0_2 | spl0_4),
% 0.19/0.38 inference(avatar_split_clause,[],[f79,f64,f54])).
% 0.19/0.38 thf(f54,plain,(
% 0.19/0.38 spl0_2 <=> ((knight @ mel) = $true)),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.19/0.38 thf(f64,plain,(
% 0.19/0.38 spl0_4 <=> ((knave @ mel) = $true)),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.19/0.38 thf(f79,plain,(
% 0.19/0.38 ((knight @ mel) = $true) | spl0_4),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f78])).
% 0.19/0.38 thf(f78,plain,(
% 0.19/0.38 ($true != $true) | ((knight @ mel) = $true) | spl0_4),
% 0.19/0.38 inference(superposition,[],[f66,f47])).
% 0.19/0.38 thf(f47,plain,(
% 0.19/0.38 ( ! [X0 : $i] : (((knave @ X0) = $true) | ((knight @ X0) = $true)) )),
% 0.19/0.38 inference(binary_proxy_clausification,[],[f37])).
% 0.19/0.38 thf(f37,plain,(
% 0.19/0.38 ( ! [X0 : $i] : (((knight @ X0) != (knave @ X0))) )),
% 0.19/0.38 inference(cnf_transformation,[],[f10])).
% 0.19/0.38 thf(f10,plain,(
% 0.19/0.38 ! [X0] : ((knight @ X0) != (knave @ X0))),
% 0.19/0.38 inference(fool_elimination,[],[f9])).
% 0.19/0.38 thf(f9,plain,(
% 0.19/0.38 ! [X0] : ((knave @ X0) <~> (knight @ X0))),
% 0.19/0.38 inference(rectify,[],[f1])).
% 0.19/0.38 thf(f1,axiom,(
% 0.19/0.38 ! [X0] : ((knave @ X0) <~> (knight @ X0))),
% 0.19/0.38 file('/export/starexec/sandbox2/tmp/tmp.ErpfZTJesj/Vampire---4.8_14224',knights_xor_knaves)).
% 0.19/0.38 thf(f66,plain,(
% 0.19/0.38 ((knave @ mel) != $true) | spl0_4),
% 0.19/0.38 inference(avatar_component_clause,[],[f64])).
% 0.19/0.38 thf(f72,plain,(
% 0.19/0.38 spl0_1 | spl0_3),
% 0.19/0.38 inference(avatar_split_clause,[],[f71,f59,f50])).
% 0.19/0.38 thf(f50,plain,(
% 0.19/0.38 spl0_1 <=> ((knight @ zoey) = $true)),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.19/0.38 thf(f59,plain,(
% 0.19/0.38 spl0_3 <=> ((knave @ zoey) = $true)),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.19/0.38 thf(f71,plain,(
% 0.19/0.38 ((knight @ zoey) = $true) | spl0_3),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f69])).
% 0.19/0.38 thf(f69,plain,(
% 0.19/0.38 ($true != $true) | ((knight @ zoey) = $true) | spl0_3),
% 0.19/0.38 inference(superposition,[],[f61,f47])).
% 0.19/0.38 thf(f61,plain,(
% 0.19/0.38 ((knave @ zoey) != $true) | spl0_3),
% 0.19/0.38 inference(avatar_component_clause,[],[f59])).
% 0.19/0.38 thf(f68,plain,(
% 0.19/0.38 ~spl0_4 | ~spl0_1),
% 0.19/0.38 inference(avatar_split_clause,[],[f45,f50,f64])).
% 0.19/0.38 thf(f45,plain,(
% 0.19/0.38 ((knight @ zoey) != $true) | ((knave @ mel) != $true)),
% 0.19/0.38 inference(equality_resolution,[],[f44])).
% 0.19/0.38 thf(f44,plain,(
% 0.19/0.38 ( ! [X1 : $i > $o] : ((knave != X1) | ((knight @ zoey) != $true) | ((X1 @ mel) != $true)) )),
% 0.19/0.38 inference(equality_resolution,[],[f30])).
% 0.19/0.38 thf(f30,plain,(
% 0.19/0.38 ( ! [X0 : $i > $o,X1 : $i > $o] : ((knight != X0) | (knave != X1) | ($true != (X0 @ zoey)) | ((X1 @ mel) != $true)) )),
% 0.19/0.38 inference(cnf_transformation,[],[f26])).
% 0.19/0.38 thf(f26,plain,(
% 0.19/0.38 ! [X0 : $i > $o,X1 : $i > $o] : (((knave != X0) & (knight != X0)) | ((knight != X1) & (knave != X1)) | ($true != (X0 @ zoey)) | ((X1 @ mel) != $true))),
% 0.19/0.38 inference(ennf_transformation,[],[f12])).
% 0.19/0.38 thf(f12,plain,(
% 0.19/0.38 ~? [X0 : $i > $o,X1 : $i > $o] : (((X1 @ mel) = $true) & ((knight = X0) | (knave = X0)) & ($true = (X0 @ zoey)) & ((knave = X1) | (knight = X1)))),
% 0.19/0.38 inference(fool_elimination,[],[f11])).
% 0.19/0.38 thf(f11,plain,(
% 0.19/0.38 ~? [X0 : $i > $o,X1 : $i > $o] : (((knave = X1) | (knight = X1)) & (X0 @ zoey) & ((knight = X0) | (knave = X0)) & (X1 @ mel))),
% 0.19/0.38 inference(rectify,[],[f7])).
% 0.19/0.38 thf(f7,negated_conjecture,(
% 0.19/0.38 ~? [X2 : $i > $o,X3 : $i > $o] : (((knave = X3) | (knight = X3)) & (X2 @ zoey) & ((knight = X2) | (knave = X2)) & (X3 @ mel))),
% 0.19/0.38 inference(negated_conjecture,[],[f6])).
% 0.19/0.38 thf(f6,conjecture,(
% 0.19/0.38 ? [X2 : $i > $o,X3 : $i > $o] : (((knave = X3) | (knight = X3)) & (X2 @ zoey) & ((knight = X2) | (knave = X2)) & (X3 @ mel))),
% 0.19/0.38 file('/export/starexec/sandbox2/tmp/tmp.ErpfZTJesj/Vampire---4.8_14224',what_are_zoey_and_mel)).
% 0.19/0.38 thf(f67,plain,(
% 0.19/0.38 ~spl0_3 | ~spl0_4),
% 0.19/0.38 inference(avatar_split_clause,[],[f41,f64,f59])).
% 0.19/0.38 thf(f41,plain,(
% 0.19/0.38 ((knave @ zoey) != $true) | ((knave @ mel) != $true)),
% 0.19/0.38 inference(equality_resolution,[],[f40])).
% 0.19/0.38 thf(f40,plain,(
% 0.19/0.38 ( ! [X1 : $i > $o] : ((knave != X1) | ((knave @ zoey) != $true) | ((X1 @ mel) != $true)) )),
% 0.19/0.38 inference(equality_resolution,[],[f32])).
% 0.19/0.38 thf(f32,plain,(
% 0.19/0.38 ( ! [X0 : $i > $o,X1 : $i > $o] : ((knave != X0) | (knave != X1) | ($true != (X0 @ zoey)) | ((X1 @ mel) != $true)) )),
% 0.19/0.38 inference(cnf_transformation,[],[f26])).
% 0.19/0.38 thf(f62,plain,(
% 0.19/0.38 ~spl0_3 | ~spl0_2),
% 0.19/0.38 inference(avatar_split_clause,[],[f39,f54,f59])).
% 0.19/0.38 thf(f39,plain,(
% 0.19/0.38 ((knight @ mel) != $true) | ((knave @ zoey) != $true)),
% 0.19/0.38 inference(equality_resolution,[],[f38])).
% 0.19/0.38 thf(f38,plain,(
% 0.19/0.38 ( ! [X1 : $i > $o] : ((knight != X1) | ((knave @ zoey) != $true) | ((X1 @ mel) != $true)) )),
% 0.19/0.38 inference(equality_resolution,[],[f33])).
% 0.19/0.38 thf(f33,plain,(
% 0.19/0.38 ( ! [X0 : $i > $o,X1 : $i > $o] : ((knave != X0) | (knight != X1) | ($true != (X0 @ zoey)) | ((X1 @ mel) != $true)) )),
% 0.19/0.38 inference(cnf_transformation,[],[f26])).
% 0.19/0.38 thf(f57,plain,(
% 0.19/0.38 ~spl0_1 | ~spl0_2),
% 0.19/0.38 inference(avatar_split_clause,[],[f43,f54,f50])).
% 0.19/0.38 thf(f43,plain,(
% 0.19/0.38 ((knight @ mel) != $true) | ((knight @ zoey) != $true)),
% 0.19/0.38 inference(equality_resolution,[],[f42])).
% 0.19/0.38 thf(f42,plain,(
% 0.19/0.38 ( ! [X1 : $i > $o] : ((knight != X1) | ((knight @ zoey) != $true) | ((X1 @ mel) != $true)) )),
% 0.19/0.38 inference(equality_resolution,[],[f31])).
% 0.19/0.38 thf(f31,plain,(
% 0.19/0.38 ( ! [X0 : $i > $o,X1 : $i > $o] : ((knight != X0) | (knight != X1) | ($true != (X0 @ zoey)) | ((X1 @ mel) != $true)) )),
% 0.19/0.38 inference(cnf_transformation,[],[f26])).
% 0.19/0.38 % SZS output end Proof for Vampire---4
% 0.19/0.38 % (14334)------------------------------
% 0.19/0.38 % (14334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (14334)Termination reason: Refutation
% 0.19/0.38
% 0.19/0.38 % (14334)Memory used [KB]: 5500
% 0.19/0.38 % (14334)Time elapsed: 0.005 s
% 0.19/0.38 % (14334)Instructions burned: 3 (million)
% 0.19/0.38 % (14334)------------------------------
% 0.19/0.38 % (14334)------------------------------
% 0.19/0.38 % (14331)Success in time 0.016 s
% 0.19/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------