TSTP Solution File: NLP264^7 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NLP264^7 : TPTP v8.1.2. Released v5.5.0.
% 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 : n015.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 08:05:09 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NLP264^7 : TPTP v8.1.2. Released v5.5.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 13:03:06 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 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.ozgW1FjT15/Vampire---4.8_19082
% 0.14/0.37 % (19309)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)
% 0.22/0.38 % (19310)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)
% 0.22/0.38 % (19311)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)
% 0.22/0.38 % (19314)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)
% 0.22/0.38 % (19312)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.38 % (19313)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)
% 0.22/0.38 % (19315)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.38 % (19310)Instruction limit reached!
% 0.22/0.38 % (19310)------------------------------
% 0.22/0.38 % (19310)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (19310)Termination reason: Unknown
% 0.22/0.38 % (19310)Termination phase: Property scanning
% 0.22/0.38
% 0.22/0.38 % (19310)Memory used [KB]: 1023
% 0.22/0.38 % (19310)Time elapsed: 0.005 s
% 0.22/0.38 % (19312)Instruction limit reached!
% 0.22/0.38 % (19312)------------------------------
% 0.22/0.38 % (19312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (19312)Termination reason: Unknown
% 0.22/0.38 % (19312)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (19312)Memory used [KB]: 1023
% 0.22/0.38 % (19312)Time elapsed: 0.003 s
% 0.22/0.38 % (19312)Instructions burned: 3 (million)
% 0.22/0.38 % (19312)------------------------------
% 0.22/0.38 % (19312)------------------------------
% 0.22/0.38 % (19310)Instructions burned: 5 (million)
% 0.22/0.38 % (19310)------------------------------
% 0.22/0.38 % (19310)------------------------------
% 0.22/0.38 % (19313)Instruction limit reached!
% 0.22/0.38 % (19313)------------------------------
% 0.22/0.38 % (19313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (19313)Termination reason: Unknown
% 0.22/0.38 % (19313)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (19313)Memory used [KB]: 1023
% 0.22/0.38 % (19313)Time elapsed: 0.004 s
% 0.22/0.38 % (19313)Instructions burned: 2 (million)
% 0.22/0.38 % (19313)------------------------------
% 0.22/0.38 % (19313)------------------------------
% 0.22/0.38 % (19316)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)
% 0.22/0.38 % (19309)First to succeed.
% 0.22/0.38 % (19314)Refutation not found, incomplete strategy
% 0.22/0.38 % (19314)------------------------------
% 0.22/0.38 % (19314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (19314)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38
% 0.22/0.38 % (19314)Memory used [KB]: 5628
% 0.22/0.38 % (19314)Time elapsed: 0.006 s
% 0.22/0.38 % (19314)Instructions burned: 8 (million)
% 0.22/0.38 % (19314)------------------------------
% 0.22/0.38 % (19314)------------------------------
% 0.22/0.38 % (19316)Instruction limit reached!
% 0.22/0.38 % (19316)------------------------------
% 0.22/0.38 % (19316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (19316)Termination reason: Unknown
% 0.22/0.38 % (19316)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (19316)Memory used [KB]: 1023
% 0.22/0.38 % (19316)Time elapsed: 0.004 s
% 0.22/0.38 % (19316)Instructions burned: 3 (million)
% 0.22/0.38 % (19316)------------------------------
% 0.22/0.38 % (19316)------------------------------
% 0.22/0.39 % (19309)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for Vampire---4
% 0.22/0.39 % SZS output start Proof for Vampire---4
% 0.22/0.39 thf(type_def_5, type, mu: $tType).
% 0.22/0.39 thf(func_def_0, type, mu: $tType).
% 0.22/0.39 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o).
% 0.22/0.39 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_8, type, mtrue: $i > $o).
% 0.22/0.39 thf(func_def_9, type, mfalse: $i > $o).
% 0.22/0.39 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_16, type, exists_in_world: mu > $i > $o).
% 0.22/0.39 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.39 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.39 thf(func_def_22, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.39 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.39 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.39 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.39 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.39 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.39 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.39 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.39 thf(func_def_30, type, mvalid: ($i > $o) > $o).
% 0.22/0.39 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.39 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.39 thf(func_def_33, type, minvalid: ($i > $o) > $o).
% 0.22/0.39 thf(func_def_34, type, rel_s4: $i > $i > $o).
% 0.22/0.39 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o).
% 0.22/0.39 thf(func_def_37, type, dest: mu > $i > $o).
% 0.22/0.39 thf(func_def_38, type, class: mu > $i > $o).
% 0.22/0.39 thf(func_def_39, type, price: mu > $i > $o).
% 0.22/0.39 thf(func_def_40, type, first: mu).
% 0.22/0.39 thf(func_def_41, type, ninetyfive: mu).
% 0.22/0.39 thf(func_def_42, type, paris: mu).
% 0.22/0.39 thf(func_def_43, type, second: mu).
% 0.22/0.39 thf(func_def_44, type, seventy: mu).
% 0.22/0.39 thf(func_def_60, type, sK0: $i > mu).
% 0.22/0.39 thf(f367,plain,(
% 0.22/0.39 $false),
% 0.22/0.39 inference(avatar_sat_refutation,[],[f330,f342,f360,f366])).
% 0.22/0.39 thf(f366,plain,(
% 0.22/0.39 spl1_3 | ~spl1_1),
% 0.22/0.39 inference(avatar_split_clause,[],[f363,f319,f327])).
% 0.22/0.39 thf(f327,plain,(
% 0.22/0.39 spl1_3 <=> ! [X0] : ((rel_s4 @ X0 @ sK3) = $false)),
% 0.22/0.39 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.22/0.39 thf(f319,plain,(
% 0.22/0.39 spl1_1 <=> ((dest @ paris @ sK3) = $false)),
% 0.22/0.39 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.22/0.39 thf(f363,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((rel_s4 @ X0 @ sK3) = $false)) ) | ~spl1_1),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f361])).
% 0.22/0.39 thf(f361,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (($false = $true) | ((rel_s4 @ X0 @ sK3) = $false)) ) | ~spl1_1),
% 0.22/0.39 inference(superposition,[],[f321,f265])).
% 0.22/0.39 thf(f265,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (($true = (dest @ paris @ X2)) | ($false = (rel_s4 @ X1 @ X2))) )),
% 0.22/0.39 inference(not_proxy_clausification,[],[f264])).
% 0.22/0.39 thf(f264,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (((~ (rel_s4 @ X1 @ X2)) = $true) | ($true = (dest @ paris @ X2))) )),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f263])).
% 0.22/0.39 thf(f263,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : ((((dest @ paris @ X2) | (~ (rel_s4 @ X1 @ X2))) = $true)) )),
% 0.22/0.39 inference(beta_eta_normalization,[],[f262])).
% 0.22/0.39 thf(f262,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((dest @ paris @ Y0) | (~ (rel_s4 @ X1 @ Y0)))) @ X2) = $true)) )),
% 0.22/0.39 inference(pi_clausification,[],[f261])).
% 0.22/0.39 thf(f261,plain,(
% 0.22/0.39 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((dest @ paris @ Y0) | (~ (rel_s4 @ X1 @ Y0))))) = $true)) )),
% 0.22/0.39 inference(beta_eta_normalization,[],[f260])).
% 0.22/0.39 thf(f260,plain,(
% 0.22/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((dest @ paris @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) @ X1) = $true)) )),
% 0.22/0.39 inference(pi_clausification,[],[f259])).
% 0.22/0.39 thf(f259,plain,(
% 0.22/0.39 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((dest @ paris @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) = $true)),
% 0.22/0.39 inference(beta_eta_normalization,[],[f207])).
% 0.22/0.39 thf(f207,plain,(
% 0.22/0.39 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (dest @ paris))) = $true)),
% 0.22/0.39 inference(definition_unfolding,[],[f158,f162,f156])).
% 0.22/0.39 thf(f156,plain,(
% 0.22/0.39 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 0.22/0.39 inference(cnf_transformation,[],[f105])).
% 0.22/0.39 thf(f105,plain,(
% 0.22/0.39 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 0.22/0.39 inference(fool_elimination,[],[f104])).
% 0.22/0.39 thf(f104,plain,(
% 0.22/0.39 (mbox_s4 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s4 @ X1 @ X2) | (X0 @ X2)))))),
% 0.22/0.39 inference(rectify,[],[f32])).
% 0.22/0.39 thf(f32,axiom,(
% 0.22/0.39 (mbox_s4 = (^[X3 : $i > $o, X2 : $i] : (! [X6] : (~(rel_s4 @ X2 @ X6) | (X3 @ X6)))))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',mbox_s4)).
% 0.22/0.39 thf(f162,plain,(
% 0.22/0.39 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.39 inference(cnf_transformation,[],[f137])).
% 0.22/0.39 thf(f137,plain,(
% 0.22/0.39 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.39 inference(fool_elimination,[],[f136])).
% 0.22/0.39 thf(f136,plain,(
% 0.22/0.39 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.22/0.39 inference(rectify,[],[f28])).
% 0.22/0.39 thf(f28,axiom,(
% 0.22/0.39 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',mvalid)).
% 0.22/0.39 thf(f158,plain,(
% 0.22/0.39 ((mvalid @ (mbox_s4 @ (dest @ paris))) = $true)),
% 0.22/0.39 inference(cnf_transformation,[],[f133])).
% 0.22/0.39 thf(f133,plain,(
% 0.22/0.39 ((mvalid @ (mbox_s4 @ (dest @ paris))) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f132])).
% 0.22/0.39 thf(f132,plain,(
% 0.22/0.39 (mvalid @ (mbox_s4 @ (dest @ paris)))),
% 0.22/0.39 inference(rectify,[],[f46])).
% 0.22/0.39 thf(f46,axiom,(
% 0.22/0.39 (mvalid @ (mbox_s4 @ (dest @ paris)))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',belief1)).
% 0.22/0.39 thf(f321,plain,(
% 0.22/0.39 ((dest @ paris @ sK3) = $false) | ~spl1_1),
% 0.22/0.39 inference(avatar_component_clause,[],[f319])).
% 0.22/0.39 thf(f360,plain,(
% 0.22/0.39 ~spl1_3),
% 0.22/0.39 inference(avatar_contradiction_clause,[],[f359])).
% 0.22/0.39 thf(f359,plain,(
% 0.22/0.39 $false | ~spl1_3),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f346])).
% 0.22/0.39 thf(f346,plain,(
% 0.22/0.39 ($false = $true) | ~spl1_3),
% 0.22/0.39 inference(superposition,[],[f328,f218])).
% 0.22/0.39 thf(f218,plain,(
% 0.22/0.39 ( ! [X1 : $i] : (((rel_s4 @ X1 @ X1) = $true)) )),
% 0.22/0.39 inference(beta_eta_normalization,[],[f217])).
% 0.22/0.39 thf(f217,plain,(
% 0.22/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: (rel_s4 @ Y0 @ Y0)) @ X1) = $true)) )),
% 0.22/0.39 inference(pi_clausification,[],[f216])).
% 0.22/0.39 thf(f216,plain,(
% 0.22/0.39 ($true = (!! @ $i @ (^[Y0 : $i]: (rel_s4 @ Y0 @ Y0))))),
% 0.22/0.39 inference(beta_eta_normalization,[],[f209])).
% 0.22/0.39 thf(f209,plain,(
% 0.22/0.39 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ rel_s4))),
% 0.22/0.39 inference(definition_unfolding,[],[f169,f191])).
% 0.22/0.39 thf(f191,plain,(
% 0.22/0.39 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.22/0.39 inference(cnf_transformation,[],[f89])).
% 0.22/0.39 thf(f89,plain,(
% 0.22/0.39 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.22/0.39 inference(fool_elimination,[],[f88])).
% 0.22/0.39 thf(f88,plain,(
% 0.22/0.39 ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = mreflexive)),
% 0.22/0.39 inference(rectify,[],[f18])).
% 0.22/0.39 thf(f18,axiom,(
% 0.22/0.39 ((^[X5 : $i > $i > $o] : (! [X8] : (X5 @ X8 @ X8))) = mreflexive)),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',mreflexive)).
% 0.22/0.39 thf(f169,plain,(
% 0.22/0.39 ((mreflexive @ rel_s4) = $true)),
% 0.22/0.39 inference(cnf_transformation,[],[f64])).
% 0.22/0.39 thf(f64,plain,(
% 0.22/0.39 ((mreflexive @ rel_s4) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f63])).
% 0.22/0.39 thf(f63,plain,(
% 0.22/0.39 (mreflexive @ rel_s4)),
% 0.22/0.39 inference(rectify,[],[f34])).
% 0.22/0.39 thf(f34,axiom,(
% 0.22/0.39 (mreflexive @ rel_s4)),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',a1)).
% 0.22/0.39 thf(f328,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((rel_s4 @ X0 @ sK3) = $false)) ) | ~spl1_3),
% 0.22/0.39 inference(avatar_component_clause,[],[f327])).
% 0.22/0.39 thf(f342,plain,(
% 0.22/0.39 ~spl1_2),
% 0.22/0.39 inference(avatar_contradiction_clause,[],[f341])).
% 0.22/0.39 thf(f341,plain,(
% 0.22/0.39 $false | ~spl1_2),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f334])).
% 0.22/0.39 thf(f334,plain,(
% 0.22/0.39 ($false = $true) | ~spl1_2),
% 0.22/0.39 inference(superposition,[],[f301,f325])).
% 0.22/0.39 thf(f325,plain,(
% 0.22/0.39 ((class @ second @ sK3) = $false) | ~spl1_2),
% 0.22/0.39 inference(avatar_component_clause,[],[f323])).
% 0.22/0.39 thf(f323,plain,(
% 0.22/0.39 spl1_2 <=> ((class @ second @ sK3) = $false)),
% 0.22/0.39 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.22/0.39 thf(f301,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((class @ second @ X0) = $true)) )),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f296])).
% 0.22/0.39 thf(f296,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (($false = $true) | ((class @ second @ X0) = $true)) )),
% 0.22/0.39 inference(superposition,[],[f283,f218])).
% 0.22/0.39 thf(f283,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (($false = (rel_s4 @ X1 @ X2)) | ((class @ second @ X2) = $true)) )),
% 0.22/0.39 inference(not_proxy_clausification,[],[f282])).
% 0.22/0.39 thf(f282,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (((~ (rel_s4 @ X1 @ X2)) = $true) | ((class @ second @ X2) = $true)) )),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f281])).
% 0.22/0.39 thf(f281,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (($true = ((class @ second @ X2) | (~ (rel_s4 @ X1 @ X2))))) )),
% 0.22/0.39 inference(beta_eta_normalization,[],[f280])).
% 0.22/0.39 thf(f280,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((class @ second @ Y0) | (~ (rel_s4 @ X1 @ Y0)))) @ X2) = $true)) )),
% 0.22/0.39 inference(pi_clausification,[],[f279])).
% 0.22/0.39 thf(f279,plain,(
% 0.22/0.39 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((class @ second @ Y0) | (~ (rel_s4 @ X1 @ Y0))))))) )),
% 0.22/0.39 inference(beta_eta_normalization,[],[f278])).
% 0.22/0.39 thf(f278,plain,(
% 0.22/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((class @ second @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) @ X1) = $true)) )),
% 0.22/0.39 inference(pi_clausification,[],[f277])).
% 0.22/0.39 thf(f277,plain,(
% 0.22/0.39 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((class @ second @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) = $true)),
% 0.22/0.39 inference(beta_eta_normalization,[],[f213])).
% 0.22/0.39 thf(f213,plain,(
% 0.22/0.39 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (class @ second))) = $true)),
% 0.22/0.39 inference(definition_unfolding,[],[f190,f162,f156])).
% 0.22/0.39 thf(f190,plain,(
% 0.22/0.39 ((mvalid @ (mbox_s4 @ (class @ second))) = $true)),
% 0.22/0.39 inference(cnf_transformation,[],[f101])).
% 0.22/0.39 thf(f101,plain,(
% 0.22/0.39 ((mvalid @ (mbox_s4 @ (class @ second))) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f100])).
% 0.22/0.39 thf(f100,plain,(
% 0.22/0.39 (mvalid @ (mbox_s4 @ (class @ second)))),
% 0.22/0.39 inference(rectify,[],[f47])).
% 0.22/0.39 thf(f47,axiom,(
% 0.22/0.39 (mvalid @ (mbox_s4 @ (class @ second)))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',belief2)).
% 0.22/0.39 thf(f330,plain,(
% 0.22/0.39 spl1_2 | spl1_1 | spl1_3),
% 0.22/0.39 inference(avatar_split_clause,[],[f314,f327,f319,f323])).
% 0.22/0.39 thf(f314,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((dest @ paris @ sK3) = $false) | ((rel_s4 @ X0 @ sK3) = $false) | ((class @ second @ sK3) = $false)) )),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f311])).
% 0.22/0.39 thf(f311,plain,(
% 0.22/0.39 ( ! [X0 : $i] : (((dest @ paris @ sK3) = $false) | ((class @ second @ sK3) = $false) | ($false = $true) | ((rel_s4 @ X0 @ sK3) = $false)) )),
% 0.22/0.39 inference(superposition,[],[f258,f234])).
% 0.22/0.39 thf(f234,plain,(
% 0.22/0.39 ($false = (price @ seventy @ sK3))),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f232])).
% 0.22/0.39 thf(f232,plain,(
% 0.22/0.39 ($false = ((price @ seventy @ sK3) | (~ (rel_s4 @ sK2 @ sK3))))),
% 0.22/0.39 inference(beta_eta_normalization,[],[f231])).
% 0.22/0.39 thf(f231,plain,(
% 0.22/0.39 ($false = ((^[Y0 : $i]: ((price @ seventy @ Y0) | (~ (rel_s4 @ sK2 @ Y0)))) @ sK3))),
% 0.22/0.39 inference(sigma_clausification,[],[f230])).
% 0.22/0.39 thf(f230,plain,(
% 0.22/0.39 ((!! @ $i @ (^[Y0 : $i]: ((price @ seventy @ Y0) | (~ (rel_s4 @ sK2 @ Y0))))) = $false)),
% 0.22/0.39 inference(beta_eta_normalization,[],[f229])).
% 0.22/0.39 thf(f229,plain,(
% 0.22/0.39 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((price @ seventy @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) @ sK2))),
% 0.22/0.39 inference(sigma_clausification,[],[f228])).
% 0.22/0.39 thf(f228,plain,(
% 0.22/0.39 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((price @ seventy @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) != $true)),
% 0.22/0.39 inference(beta_eta_normalization,[],[f208])).
% 0.22/0.39 thf(f208,plain,(
% 0.22/0.39 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ (price @ seventy))))),
% 0.22/0.39 inference(definition_unfolding,[],[f160,f162,f156])).
% 0.22/0.39 thf(f160,plain,(
% 0.22/0.39 ((mvalid @ (mbox_s4 @ (price @ seventy))) != $true)),
% 0.22/0.39 inference(cnf_transformation,[],[f144])).
% 0.22/0.39 thf(f144,plain,(
% 0.22/0.39 ((mvalid @ (mbox_s4 @ (price @ seventy))) != $true)),
% 0.22/0.39 inference(flattening,[],[f129])).
% 0.22/0.39 thf(f129,plain,(
% 0.22/0.39 ~((mvalid @ (mbox_s4 @ (price @ seventy))) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f128])).
% 0.22/0.39 thf(f128,plain,(
% 0.22/0.39 ~(mvalid @ (mbox_s4 @ (price @ seventy)))),
% 0.22/0.39 inference(rectify,[],[f49])).
% 0.22/0.39 thf(f49,negated_conjecture,(
% 0.22/0.39 ~(mvalid @ (mbox_s4 @ (price @ seventy)))),
% 0.22/0.39 inference(negated_conjecture,[],[f48])).
% 0.22/0.39 thf(f48,conjecture,(
% 0.22/0.39 (mvalid @ (mbox_s4 @ (price @ seventy)))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',con)).
% 0.22/0.39 thf(f258,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (($true = (price @ seventy @ X2)) | ($false = (dest @ paris @ X2)) | ($false = (rel_s4 @ X1 @ X2)) | ((class @ second @ X2) = $false)) )),
% 0.22/0.39 inference(not_proxy_clausification,[],[f257])).
% 0.22/0.39 thf(f257,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (((~ (rel_s4 @ X1 @ X2)) = $true) | ($true = (price @ seventy @ X2)) | ($false = (dest @ paris @ X2)) | ((class @ second @ X2) = $false)) )),
% 0.22/0.39 inference(not_proxy_clausification,[],[f256])).
% 0.22/0.39 thf(f256,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (($true = (price @ seventy @ X2)) | ($true = (~ (dest @ paris @ X2))) | ((class @ second @ X2) = $false) | ((~ (rel_s4 @ X1 @ X2)) = $true)) )),
% 0.22/0.39 inference(not_proxy_clausification,[],[f255])).
% 0.22/0.39 thf(f255,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (($true = (~ (class @ second @ X2))) | ((~ (rel_s4 @ X1 @ X2)) = $true) | ($true = (price @ seventy @ X2)) | ($true = (~ (dest @ paris @ X2)))) )),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f254])).
% 0.22/0.39 thf(f254,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : ((((~ (class @ second @ X2)) | (~ (dest @ paris @ X2))) = $true) | ((~ (rel_s4 @ X1 @ X2)) = $true) | ($true = (price @ seventy @ X2))) )),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f253])).
% 0.22/0.39 thf(f253,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : ((((price @ seventy @ X2) | ((~ (class @ second @ X2)) | (~ (dest @ paris @ X2)))) = $true) | ((~ (rel_s4 @ X1 @ X2)) = $true)) )),
% 0.22/0.39 inference(binary_proxy_clausification,[],[f252])).
% 0.22/0.39 thf(f252,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (((((price @ seventy @ X2) | ((~ (class @ second @ X2)) | (~ (dest @ paris @ X2)))) | (~ (rel_s4 @ X1 @ X2))) = $true)) )),
% 0.22/0.39 inference(beta_eta_normalization,[],[f251])).
% 0.22/0.39 thf(f251,plain,(
% 0.22/0.39 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((price @ seventy @ Y0) | ((~ (class @ second @ Y0)) | (~ (dest @ paris @ Y0)))) | (~ (rel_s4 @ X1 @ Y0)))) @ X2))) )),
% 0.22/0.39 inference(pi_clausification,[],[f250])).
% 0.22/0.39 thf(f250,plain,(
% 0.22/0.39 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((price @ seventy @ Y0) | ((~ (class @ second @ Y0)) | (~ (dest @ paris @ Y0)))) | (~ (rel_s4 @ X1 @ Y0))))) = $true)) )),
% 0.22/0.39 inference(beta_eta_normalization,[],[f249])).
% 0.22/0.39 thf(f249,plain,(
% 0.22/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((price @ seventy @ Y1) | ((~ (class @ second @ Y1)) | (~ (dest @ paris @ Y1)))) | (~ (rel_s4 @ Y0 @ Y1)))))) @ X1) = $true)) )),
% 0.22/0.39 inference(pi_clausification,[],[f248])).
% 0.22/0.39 thf(f248,plain,(
% 0.22/0.39 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((price @ seventy @ Y1) | ((~ (class @ second @ Y1)) | (~ (dest @ paris @ Y1)))) | (~ (rel_s4 @ Y0 @ Y1))))))) = $true)),
% 0.22/0.39 inference(boolean_simplification,[],[f247])).
% 0.22/0.39 thf(f247,plain,(
% 0.22/0.39 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((price @ seventy @ Y1) | (~ (~ ((~ (class @ second @ Y1)) | (~ (dest @ paris @ Y1)))))) | (~ (rel_s4 @ Y0 @ Y1))))))) = $true)),
% 0.22/0.39 inference(beta_eta_normalization,[],[f212])).
% 0.22/0.39 thf(f212,plain,(
% 0.22/0.39 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ (dest @ paris) @ (class @ second)) @ (price @ seventy)))) = $true)),
% 0.22/0.39 inference(definition_unfolding,[],[f186,f162,f156,f199,f198])).
% 0.22/0.39 thf(f198,plain,(
% 0.22/0.39 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.22/0.39 inference(definition_unfolding,[],[f155,f164,f163,f164,f164])).
% 0.22/0.39 thf(f163,plain,(
% 0.22/0.39 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.22/0.39 inference(cnf_transformation,[],[f83])).
% 0.22/0.39 thf(f83,plain,(
% 0.22/0.39 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.22/0.39 inference(fool_elimination,[],[f82])).
% 0.22/0.39 thf(f82,plain,(
% 0.22/0.39 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.22/0.39 inference(rectify,[],[f3])).
% 0.22/0.39 thf(f3,axiom,(
% 0.22/0.39 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',mor)).
% 0.22/0.39 thf(f164,plain,(
% 0.22/0.39 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.39 inference(cnf_transformation,[],[f95])).
% 0.22/0.39 thf(f95,plain,(
% 0.22/0.39 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.39 inference(fool_elimination,[],[f94])).
% 0.22/0.39 thf(f94,plain,(
% 0.22/0.39 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.22/0.39 inference(rectify,[],[f2])).
% 0.22/0.39 thf(f2,axiom,(
% 0.22/0.39 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',mnot)).
% 0.22/0.39 thf(f155,plain,(
% 0.22/0.39 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.22/0.39 inference(cnf_transformation,[],[f123])).
% 0.22/0.39 thf(f123,plain,(
% 0.22/0.39 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.22/0.39 inference(fool_elimination,[],[f122])).
% 0.22/0.39 thf(f122,plain,(
% 0.22/0.39 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))),
% 0.22/0.39 inference(rectify,[],[f8])).
% 0.22/0.39 thf(f8,axiom,(
% 0.22/0.39 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',mand)).
% 0.22/0.39 thf(f199,plain,(
% 0.22/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.22/0.39 inference(definition_unfolding,[],[f183,f163,f164])).
% 0.22/0.39 thf(f183,plain,(
% 0.22/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.39 inference(cnf_transformation,[],[f115])).
% 0.22/0.39 thf(f115,plain,(
% 0.22/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.39 inference(fool_elimination,[],[f114])).
% 0.22/0.39 thf(f114,plain,(
% 0.22/0.39 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.22/0.39 inference(rectify,[],[f9])).
% 0.22/0.39 thf(f9,axiom,(
% 0.22/0.39 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',mimplies)).
% 0.22/0.39 thf(f186,plain,(
% 0.22/0.39 ((mvalid @ (mbox_s4 @ (mimplies @ (mand @ (dest @ paris) @ (class @ second)) @ (price @ seventy)))) = $true)),
% 0.22/0.39 inference(cnf_transformation,[],[f141])).
% 0.22/0.39 thf(f141,plain,(
% 0.22/0.39 ((mvalid @ (mbox_s4 @ (mimplies @ (mand @ (dest @ paris) @ (class @ second)) @ (price @ seventy)))) = $true)),
% 0.22/0.39 inference(fool_elimination,[],[f140])).
% 0.22/0.39 thf(f140,plain,(
% 0.22/0.39 (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (dest @ paris) @ (class @ second)) @ (price @ seventy))))),
% 0.22/0.39 inference(rectify,[],[f43])).
% 0.22/0.39 thf(f43,axiom,(
% 0.22/0.39 (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (dest @ paris) @ (class @ second)) @ (price @ seventy))))),
% 0.22/0.39 file('/export/starexec/sandbox/tmp/tmp.ozgW1FjT15/Vampire---4.8_19082',law2)).
% 0.22/0.39 % SZS output end Proof for Vampire---4
% 0.22/0.39 % (19309)------------------------------
% 0.22/0.39 % (19309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (19309)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (19309)Memory used [KB]: 5756
% 0.22/0.39 % (19309)Time elapsed: 0.013 s
% 0.22/0.39 % (19309)Instructions burned: 23 (million)
% 0.22/0.39 % (19309)------------------------------
% 0.22/0.39 % (19309)------------------------------
% 0.22/0.39 % (19306)Success in time 0.013 s
% 0.22/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------