TSTP Solution File: DAT294^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT294^1 : TPTP v8.1.2. Released v7.0.0.
% 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 : n027.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 05:05:08 EDT 2024
% Result : Theorem 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : DAT294^1 : TPTP v8.1.2. Released v7.0.0.
% 0.13/0.15 % 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
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 13:29:21 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH1_THM_EQU_NAR problem
% 0.15/0.36 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.Meeh9Ew9Rq/Vampire---4.8_10371
% 0.15/0.37 % (10632)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)
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.15/0.38 % (10629)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)
% 0.15/0.38 % (10630)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)
% 0.15/0.38 % (10631)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38 % (10634)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.38 % (10635)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)
% 0.15/0.38 % (10628)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)
% 0.15/0.38 % (10631)Instruction limit reached!
% 0.15/0.38 % (10631)------------------------------
% 0.15/0.38 % (10631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10631)Termination reason: Unknown
% 0.15/0.38 % (10631)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (10631)Memory used [KB]: 5500
% 0.15/0.38 % (10631)Time elapsed: 0.004 s
% 0.15/0.38 % (10631)Instructions burned: 2 (million)
% 0.15/0.38 % (10631)------------------------------
% 0.15/0.38 % (10631)------------------------------
% 0.15/0.38 % (10635)Instruction limit reached!
% 0.15/0.38 % (10635)------------------------------
% 0.15/0.38 % (10635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10635)Termination reason: Unknown
% 0.15/0.38 % (10635)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (10635)Memory used [KB]: 5500
% 0.15/0.38 % (10635)Time elapsed: 0.004 s
% 0.15/0.38 % (10635)Instructions burned: 3 (million)
% 0.15/0.38 % (10635)------------------------------
% 0.15/0.38 % (10635)------------------------------
% 0.15/0.38 % (10629)Instruction limit reached!
% 0.15/0.38 % (10629)------------------------------
% 0.15/0.38 % (10629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10629)Termination reason: Unknown
% 0.15/0.38 % (10629)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (10629)Memory used [KB]: 5500
% 0.15/0.38 % (10629)Time elapsed: 0.005 s
% 0.15/0.38 % (10629)Instructions burned: 4 (million)
% 0.15/0.38 % (10629)------------------------------
% 0.15/0.38 % (10629)------------------------------
% 0.15/0.38 % (10633)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)
% 0.15/0.38 % (10633)Refutation not found, incomplete strategy
% 0.15/0.38 % (10633)------------------------------
% 0.15/0.38 % (10633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10633)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (10633)Memory used [KB]: 5373
% 0.15/0.38 % (10633)Time elapsed: 0.004 s
% 0.15/0.38 % (10633)Instructions burned: 1 (million)
% 0.15/0.38 % (10633)------------------------------
% 0.15/0.38 % (10633)------------------------------
% 0.15/0.38 % (10636)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.15/0.39 % (10634)Instruction limit reached!
% 0.15/0.39 % (10634)------------------------------
% 0.15/0.39 % (10634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (10634)Termination reason: Unknown
% 0.15/0.39 % (10634)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (10634)Memory used [KB]: 5628
% 0.15/0.39 % (10634)Time elapsed: 0.015 s
% 0.15/0.39 % (10634)Instructions burned: 19 (million)
% 0.15/0.39 % (10634)------------------------------
% 0.15/0.39 % (10634)------------------------------
% 0.15/0.39 % (10637)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.15/0.39 % (10638)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.39 % (10641)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.15/0.39 % (10639)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.15/0.40 % (10630)Instruction limit reached!
% 0.15/0.40 % (10630)------------------------------
% 0.15/0.40 % (10630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (10630)Termination reason: Unknown
% 0.15/0.40 % (10630)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (10630)Memory used [KB]: 5628
% 0.15/0.40 % (10630)Time elapsed: 0.021 s
% 0.15/0.40 % (10630)Instructions burned: 27 (million)
% 0.15/0.40 % (10630)------------------------------
% 0.15/0.40 % (10630)------------------------------
% 0.15/0.40 % (10638)Instruction limit reached!
% 0.15/0.40 % (10638)------------------------------
% 0.15/0.40 % (10638)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (10638)Termination reason: Unknown
% 0.15/0.40 % (10638)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (10638)Memory used [KB]: 5500
% 0.15/0.40 % (10638)Time elapsed: 0.004 s
% 0.15/0.40 % (10638)Instructions burned: 3 (million)
% 0.15/0.40 % (10638)------------------------------
% 0.15/0.40 % (10638)------------------------------
% 0.15/0.40 % (10640)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.15/0.40 % (10641)Instruction limit reached!
% 0.15/0.40 % (10641)------------------------------
% 0.15/0.40 % (10641)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (10641)Termination reason: Unknown
% 0.15/0.40 % (10641)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (10641)Memory used [KB]: 5628
% 0.15/0.40 % (10641)Time elapsed: 0.009 s
% 0.15/0.40 % (10641)Instructions burned: 16 (million)
% 0.15/0.40 % (10641)------------------------------
% 0.15/0.40 % (10641)------------------------------
% 0.15/0.40 % (10640)Instruction limit reached!
% 0.15/0.40 % (10640)------------------------------
% 0.15/0.40 % (10640)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (10640)Termination reason: Unknown
% 0.15/0.40 % (10640)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (10640)Memory used [KB]: 1023
% 0.15/0.40 % (10640)Time elapsed: 0.007 s
% 0.15/0.40 % (10640)Instructions burned: 7 (million)
% 0.15/0.40 % (10640)------------------------------
% 0.15/0.40 % (10640)------------------------------
% 0.15/0.40 % (10637)First to succeed.
% 0.15/0.40 % (10642)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.41 % (10637)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Theorem for Vampire---4
% 0.15/0.41 % SZS output start Proof for Vampire---4
% 0.15/0.41 thf(type_def_6, type, 'type/ind_types/list': ($tType) > $tType).
% 0.15/0.41 thf(type_def_7, type, sK2: $tType).
% 0.15/0.41 thf(func_def_0, type, 'type/ind_types/list': ($tType) > $tType).
% 0.15/0.41 thf(func_def_1, type, 'const/lists/ALL': !>[X0: $tType]:((X0 > $o) > 'type/ind_types/list' @ X0 > $o)).
% 0.15/0.41 thf(func_def_2, type, 'const/ind_types/NIL': !>[X0: $tType]:('type/ind_types/list' @ X0)).
% 0.15/0.41 thf(func_def_3, type, 'const/ind_types/CONS': !>[X0: $tType]:(X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0)).
% 0.15/0.41 thf(func_def_8, type, sK0: !>[X0: $tType]:(('type/ind_types/list' @ X0 > $o) > X0)).
% 0.15/0.41 thf(func_def_9, type, sK1: !>[X0: $tType]:(('type/ind_types/list' @ X0 > $o) > 'type/ind_types/list' @ X0)).
% 0.15/0.41 thf(func_def_10, type, sK3: 'type/ind_types/list' @ sK2).
% 0.15/0.41 thf(func_def_12, type, ph5: !>[X0: $tType]:(X0)).
% 0.15/0.41 thf(f153,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(avatar_sat_refutation,[],[f36,f52,f63,f152])).
% 0.15/0.41 thf(f152,plain,(
% 0.15/0.41 spl4_2 | ~spl4_4),
% 0.15/0.41 inference(avatar_contradiction_clause,[],[f151])).
% 0.15/0.41 thf(f151,plain,(
% 0.15/0.41 $false | (spl4_2 | ~spl4_4)),
% 0.15/0.41 inference(subsumption_resolution,[],[f143,f62])).
% 0.15/0.41 thf(f62,plain,(
% 0.15/0.41 ($true = ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) | ~spl4_4),
% 0.15/0.41 inference(avatar_component_clause,[],[f60])).
% 0.15/0.41 thf(f60,plain,(
% 0.15/0.41 spl4_4 <=> ($true = ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true))))))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
% 0.15/0.41 thf(f143,plain,(
% 0.15/0.41 ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) | spl4_2),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f142])).
% 0.15/0.41 thf(f142,plain,(
% 0.15/0.41 ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) | ($true != $true) | spl4_2),
% 0.15/0.41 inference(beta_eta_normalization,[],[f141])).
% 0.15/0.41 thf(f141,plain,(
% 0.15/0.41 ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) | ($true != ((^[Y0 : sK2]: ($true)) @ (sK0 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) | spl4_2),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f133])).
% 0.15/0.41 thf(f133,plain,(
% 0.15/0.41 ($true != ((^[Y0 : sK2]: ($true)) @ (sK0 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) | ($true != $true) | ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) | spl4_2),
% 0.15/0.41 inference(superposition,[],[f51,f29])).
% 0.15/0.41 thf(f29,plain,(
% 0.15/0.41 ( ! [X0 : $tType,X2 : X0 > $o,X3 : 'type/ind_types/list' @ X0,X1 : X0] : (($true != (X2 @ X1)) | ($true != ('const/lists/ALL' @ X0 @ X2 @ X3)) | (('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3)) = $true)) )),
% 0.15/0.41 inference(cnf_transformation,[],[f22])).
% 0.15/0.41 thf(f22,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : X0,X2 : X0 > $o,X3 : 'type/ind_types/list' @ X0] : (((('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3)) = $true) | ($true != ('const/lists/ALL' @ X0 @ X2 @ X3)) | ($true != (X2 @ X1))) & ((($true = ('const/lists/ALL' @ X0 @ X2 @ X3)) & ($true = (X2 @ X1))) | (('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3)) != $true)))),
% 0.15/0.41 inference(flattening,[],[f21])).
% 0.15/0.41 thf(f21,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : X0,X2 : X0 > $o,X3 : 'type/ind_types/list' @ X0] : (((('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3)) = $true) | (($true != ('const/lists/ALL' @ X0 @ X2 @ X3)) | ($true != (X2 @ X1)))) & ((($true = ('const/lists/ALL' @ X0 @ X2 @ X3)) & ($true = (X2 @ X1))) | (('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3)) != $true)))),
% 0.15/0.41 inference(nnf_transformation,[],[f13])).
% 0.15/0.41 thf(f13,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : X0,X2 : X0 > $o,X3 : 'type/ind_types/list' @ X0] : ((('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3)) = $true) <=> (($true = ('const/lists/ALL' @ X0 @ X2 @ X3)) & ($true = (X2 @ X1))))),
% 0.15/0.41 inference(fool_elimination,[],[f12])).
% 0.15/0.41 thf(f12,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : X0,X2 : X0 > $o,X3 : 'type/ind_types/list' @ X0] : (('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3)) = ('const/lists/ALL' @ X0 @ X2 @ X3) & (X2 @ X1))),
% 0.15/0.41 inference(rectify,[],[f2])).
% 0.15/0.41 thf(f2,axiom,(
% 0.15/0.41 ! [X0 : $tType,X2 : X0,X1 : X0 > $o,X3 : 'type/ind_types/list' @ X0] : (('const/lists/ALL' @ X0 @ X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) = ('const/lists/ALL' @ X0 @ X1 @ X3) & (X1 @ X2))),
% 0.15/0.41 file('/export/starexec/sandbox/tmp/tmp.Meeh9Ew9Rq/Vampire---4.8_10371','thm/lists/ALL_1')).
% 0.15/0.41 thf(f51,plain,(
% 0.15/0.41 (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ ('const/ind_types/CONS' @ sK2 @ (sK0 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) != $true) | spl4_2),
% 0.15/0.41 inference(avatar_component_clause,[],[f49])).
% 0.15/0.41 thf(f49,plain,(
% 0.15/0.41 spl4_2 <=> (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ ('const/ind_types/CONS' @ sK2 @ (sK0 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) = $true)),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
% 0.15/0.41 thf(f63,plain,(
% 0.15/0.41 spl4_4 | spl4_1),
% 0.15/0.41 inference(avatar_split_clause,[],[f58,f33,f60])).
% 0.15/0.41 thf(f33,plain,(
% 0.15/0.41 spl4_1 <=> ($true = ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ sK3))),
% 0.15/0.41 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
% 0.15/0.41 thf(f58,plain,(
% 0.15/0.41 ($true = ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) | spl4_1),
% 0.15/0.41 inference(subsumption_resolution,[],[f43,f30])).
% 0.15/0.41 thf(f30,plain,(
% 0.15/0.41 ( ! [X0 : $tType,X1 : X0 > $o] : ((('const/lists/ALL' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0) = $true)) )),
% 0.15/0.41 inference(cnf_transformation,[],[f14])).
% 0.15/0.41 thf(f14,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : X0 > $o] : (('const/lists/ALL' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0) = $true)),
% 0.15/0.41 inference(true_and_false_elimination,[],[f7])).
% 0.15/0.41 thf(f7,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : X0 > $o] : ((('const/lists/ALL' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0) = $true) <=> $true)),
% 0.15/0.41 inference(fool_elimination,[],[f3])).
% 0.15/0.41 thf(f3,axiom,(
% 0.15/0.41 ! [X0 : $tType,X1 : X0 > $o] : (('const/lists/ALL' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0) = $true)),
% 0.15/0.41 file('/export/starexec/sandbox/tmp/tmp.Meeh9Ew9Rq/Vampire---4.8_10371','thm/lists/ALL_0')).
% 0.15/0.41 thf(f43,plain,(
% 0.15/0.41 ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ 'const/ind_types/NIL' @ sK2)) | ($true = ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) | spl4_1),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f40])).
% 0.15/0.41 thf(f40,plain,(
% 0.15/0.41 ($true != $true) | ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ 'const/ind_types/NIL' @ sK2)) | ($true = ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) | spl4_1),
% 0.15/0.41 inference(superposition,[],[f35,f26])).
% 0.15/0.41 thf(f26,plain,(
% 0.15/0.41 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : 'type/ind_types/list' @ X0 > $o] : (((X1 @ 'const/ind_types/NIL' @ X0) != $true) | ($true = (X1 @ (sK1 @ X0 @ X1))) | ((X1 @ X2) = $true)) )),
% 0.15/0.41 inference(cnf_transformation,[],[f20])).
% 0.15/0.41 thf(f20,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (! [X2 : 'type/ind_types/list' @ X0] : ((X1 @ X2) = $true) | (($true = (X1 @ (sK1 @ X0 @ X1))) & ($true != (X1 @ ('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))))) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true))),
% 0.15/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f18,f19])).
% 0.15/0.41 thf(f19,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (? [X3 : X0,X4 : 'type/ind_types/list' @ X0] : (($true = (X1 @ X4)) & ((X1 @ ('const/ind_types/CONS' @ X0 @ X3 @ X4)) != $true)) => (($true = (X1 @ (sK1 @ X0 @ X1))) & ($true != (X1 @ ('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))))))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f18,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (! [X2 : 'type/ind_types/list' @ X0] : ((X1 @ X2) = $true) | ? [X3 : X0,X4 : 'type/ind_types/list' @ X0] : (($true = (X1 @ X4)) & ((X1 @ ('const/ind_types/CONS' @ X0 @ X3 @ X4)) != $true)) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true))),
% 0.15/0.41 inference(rectify,[],[f17])).
% 0.15/0.41 thf(f17,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (! [X4 : 'type/ind_types/list' @ X0] : ($true = (X1 @ X4)) | ? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ X3) = $true) & ((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) != $true)) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true))),
% 0.15/0.41 inference(flattening,[],[f16])).
% 0.15/0.41 thf(f16,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (! [X4 : 'type/ind_types/list' @ X0] : ($true = (X1 @ X4)) | (((X1 @ 'const/ind_types/NIL' @ X0) != $true) | ? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ X3) = $true) & ((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) != $true))))),
% 0.15/0.41 inference(ennf_transformation,[],[f9])).
% 0.15/0.41 thf(f9,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : ((((X1 @ 'const/ind_types/NIL' @ X0) = $true) & ! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ X3) = $true) => ((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) = $true))) => ! [X4 : 'type/ind_types/list' @ X0] : ($true = (X1 @ X4)))),
% 0.15/0.41 inference(fool_elimination,[],[f8])).
% 0.15/0.41 thf(f8,plain,(
% 0.15/0.41 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : ((! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((X1 @ X3) => (X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))) & (X1 @ 'const/ind_types/NIL' @ X0)) => ! [X4 : 'type/ind_types/list' @ X0] : (X1 @ X4))),
% 0.15/0.41 inference(rectify,[],[f1])).
% 0.15/0.41 thf(f1,axiom,(
% 0.15/0.41 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : ((! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((X1 @ X3) => (X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))) & (X1 @ 'const/ind_types/NIL' @ X0)) => ! [X2 : 'type/ind_types/list' @ X0] : (X1 @ X2))),
% 0.15/0.41 file('/export/starexec/sandbox/tmp/tmp.Meeh9Ew9Rq/Vampire---4.8_10371','thm/ind_types/list_INDUCT_')).
% 0.15/0.41 thf(f35,plain,(
% 0.15/0.41 ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ sK3)) | spl4_1),
% 0.15/0.41 inference(avatar_component_clause,[],[f33])).
% 0.15/0.41 thf(f52,plain,(
% 0.15/0.41 ~spl4_2 | spl4_1),
% 0.15/0.41 inference(avatar_split_clause,[],[f47,f33,f49])).
% 0.15/0.41 thf(f47,plain,(
% 0.15/0.41 (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ ('const/ind_types/CONS' @ sK2 @ (sK0 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) != $true) | spl4_1),
% 0.15/0.41 inference(subsumption_resolution,[],[f46,f30])).
% 0.15/0.41 thf(f46,plain,(
% 0.15/0.41 ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ 'const/ind_types/NIL' @ sK2)) | (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ ('const/ind_types/CONS' @ sK2 @ (sK0 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) != $true) | spl4_1),
% 0.15/0.41 inference(trivial_inequality_removal,[],[f39])).
% 0.15/0.41 thf(f39,plain,(
% 0.15/0.41 ($true != $true) | (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ ('const/ind_types/CONS' @ sK2 @ (sK0 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))) != $true) | ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ 'const/ind_types/NIL' @ sK2)) | spl4_1),
% 0.15/0.41 inference(superposition,[],[f35,f25])).
% 0.15/0.41 thf(f25,plain,(
% 0.15/0.41 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : 'type/ind_types/list' @ X0 > $o] : (((X1 @ X2) = $true) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true) | ($true != (X1 @ ('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))))) )),
% 0.15/0.41 inference(cnf_transformation,[],[f20])).
% 0.15/0.41 thf(f36,plain,(
% 0.15/0.41 ~spl4_1),
% 0.15/0.41 inference(avatar_split_clause,[],[f31,f33])).
% 0.15/0.41 thf(f31,plain,(
% 0.15/0.41 ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ sK3))),
% 0.15/0.41 inference(cnf_transformation,[],[f24])).
% 0.15/0.41 thf(f24,plain,(
% 0.15/0.41 ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ sK3))),
% 0.15/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f15,f23])).
% 0.15/0.41 thf(f23,plain,(
% 0.15/0.41 ? [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ($true != ('const/lists/ALL' @ X0 @ (^[Y0 : X0]: ($true)) @ X1)) => ($true != ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ sK3))),
% 0.15/0.41 introduced(choice_axiom,[])).
% 0.15/0.41 thf(f15,plain,(
% 0.15/0.41 ? [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ($true != ('const/lists/ALL' @ X0 @ (^[Y0 : X0]: ($true)) @ X1))),
% 0.15/0.41 inference(ennf_transformation,[],[f11])).
% 0.15/0.41 thf(f11,plain,(
% 0.15/0.41 ~! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ($true = ('const/lists/ALL' @ X0 @ (^[Y0 : X0]: ($true)) @ X1))),
% 0.15/0.41 inference(fool_elimination,[],[f10])).
% 0.15/0.41 thf(f10,plain,(
% 0.15/0.41 ~! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ('const/lists/ALL' @ X0 @ (^[X2 : X0] : ($true)) @ X1)),
% 0.15/0.41 inference(rectify,[],[f5])).
% 0.15/0.41 thf(f5,negated_conjecture,(
% 0.15/0.41 ~! [X0 : $tType,X2 : 'type/ind_types/list' @ X0] : ('const/lists/ALL' @ X0 @ (^[X3 : X0] : ($true)) @ X2)),
% 0.15/0.41 inference(negated_conjecture,[],[f4])).
% 0.15/0.41 thf(f4,conjecture,(
% 0.15/0.41 ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0] : ('const/lists/ALL' @ X0 @ (^[X3 : X0] : ($true)) @ X2)),
% 0.15/0.41 file('/export/starexec/sandbox/tmp/tmp.Meeh9Ew9Rq/Vampire---4.8_10371','thm/lists/ALL_T_')).
% 0.15/0.41 % SZS output end Proof for Vampire---4
% 0.15/0.41 % (10637)------------------------------
% 0.15/0.41 % (10637)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (10637)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (10637)Memory used [KB]: 5628
% 0.15/0.41 % (10637)Time elapsed: 0.014 s
% 0.15/0.41 % (10637)Instructions burned: 14 (million)
% 0.15/0.41 % (10637)------------------------------
% 0.15/0.41 % (10637)------------------------------
% 0.15/0.41 % (10627)Success in time 0.053 s
% 0.15/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------