TSTP Solution File: ITP023^3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP023^3 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 06:49:08 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ITP023^3 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.16 % 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
% 0.14/0.37 % Computer : n009.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri May 3 19:13:23 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a TH1_THM_EQU_NAR problem
% 0.14/0.37 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/sandbox2/tmp/tmp.TAZ7SQoDi8/Vampire---4.8_4567
% 0.14/0.39 % (4678)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)
% 0.14/0.39 % (4677)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)
% 0.14/0.39 % (4682)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.39 % (4680)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)
% 0.14/0.39 % (4679)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.39 % (4683)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)
% 0.14/0.39 % (4680)Instruction limit reached!
% 0.14/0.39 % (4680)------------------------------
% 0.14/0.39 % (4680)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (4681)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)
% 0.14/0.39 % (4680)Termination reason: Unknown
% 0.14/0.39 % (4680)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (4680)Memory used [KB]: 1023
% 0.14/0.39 % (4680)Time elapsed: 0.002 s
% 0.14/0.39 % (4680)Instructions burned: 2 (million)
% 0.14/0.39 % (4680)------------------------------
% 0.14/0.39 % (4680)------------------------------
% 0.14/0.39 % (4677)Instruction limit reached!
% 0.14/0.39 % (4677)------------------------------
% 0.14/0.39 % (4677)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (4677)Termination reason: Unknown
% 0.14/0.39 % (4677)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (4677)Memory used [KB]: 1023
% 0.14/0.39 % (4677)Time elapsed: 0.003 s
% 0.14/0.39 % (4677)Instructions burned: 4 (million)
% 0.14/0.39 % (4677)------------------------------
% 0.14/0.39 % (4677)------------------------------
% 0.14/0.39 % (4679)Instruction limit reached!
% 0.14/0.39 % (4679)------------------------------
% 0.14/0.39 % (4679)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (4679)Termination reason: Unknown
% 0.14/0.39 % (4679)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (4679)Memory used [KB]: 1023
% 0.14/0.39 % (4679)Time elapsed: 0.003 s
% 0.14/0.39 % (4679)Instructions burned: 3 (million)
% 0.14/0.39 % (4679)------------------------------
% 0.14/0.39 % (4679)------------------------------
% 0.14/0.39 % (4683)Instruction limit reached!
% 0.14/0.39 % (4683)------------------------------
% 0.14/0.39 % (4683)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (4683)Termination reason: Unknown
% 0.14/0.39 % (4683)Termination phase: Preprocessing 1
% 0.14/0.39
% 0.14/0.39 % (4683)Memory used [KB]: 1023
% 0.14/0.39 % (4683)Time elapsed: 0.003 s
% 0.14/0.39 % (4683)Instructions burned: 3 (million)
% 0.14/0.39 % (4683)------------------------------
% 0.14/0.39 % (4683)------------------------------
% 0.14/0.39 % (4681)First to succeed.
% 0.14/0.40 % (4681)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for Vampire---4
% 0.14/0.40 % SZS output start Proof for Vampire---4
% 0.14/0.40 thf(type_def_6, type, tyop_2Epair_2Eprod: ($tType * $tType) > $tType).
% 0.14/0.40 thf(type_def_7, type, tyop_2Erealax_2Ereal: $tType).
% 0.14/0.40 thf(func_def_0, type, tyop_2Emin_2Ebool: $tType).
% 0.14/0.40 thf(func_def_1, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 0.14/0.40 thf(func_def_2, type, tyop_2Epair_2Eprod: ($tType * $tType) > $tType).
% 0.14/0.40 thf(func_def_3, type, tyop_2Erealax_2Ereal: $tType).
% 0.14/0.40 thf(func_def_4, type, c_2Ebool_2E_21: !>[X0: $tType]:((X0 > $o) > $o)).
% 0.14/0.40 thf(func_def_5, type, c_2Epair_2E_2C: !>[X0: $tType, X1: $tType]:(X0 > X1 > tyop_2Epair_2Eprod @ X0 @ X1)).
% 0.14/0.40 thf(func_def_6, type, c_2Ebool_2E_2F_5C: $o > $o > $o).
% 0.14/0.40 thf(func_def_7, type, c_2Emin_2E_3D: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.40 thf(func_def_8, type, c_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 0.14/0.40 thf(func_def_9, type, c_2Ebool_2E_3F: !>[X0: $tType]:((X0 > $o) > $o)).
% 0.14/0.40 thf(func_def_11, type, c_2Epred__set_2ESUBSET: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > $o)).
% 0.14/0.40 thf(func_def_13, type, c_2Ebool_2E_5C_2F: $o > $o > $o).
% 0.14/0.40 thf(func_def_14, type, c_2Ereal__topology_2Eball: tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal > $o).
% 0.14/0.40 thf(func_def_15, type, c_2Ereal__topology_2Ebounded__def: (tyop_2Erealax_2Ereal > $o) > $o).
% 0.14/0.40 thf(func_def_16, type, c_2Ereal__topology_2Ecball: tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal > $o).
% 0.14/0.40 thf(func_def_17, type, c_2Ebool_2E_7E: $o > $o).
% 0.14/0.40 thf(func_def_27, type, sK0: tyop_2Erealax_2Ereal).
% 0.14/0.40 thf(func_def_28, type, sK1: tyop_2Erealax_2Ereal).
% 0.14/0.40 thf(func_def_30, type, ph3: !>[X0: $tType]:(X0)).
% 0.14/0.40 thf(f249,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f246])).
% 0.14/0.40 thf(f246,plain,(
% 0.14/0.40 ($true != $true)),
% 0.14/0.40 inference(superposition,[],[f132,f243])).
% 0.14/0.40 thf(f243,plain,(
% 0.14/0.40 ( ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))) = $true)) )),
% 0.14/0.40 inference(subsumption_resolution,[],[f242,f130])).
% 0.14/0.40 thf(f130,plain,(
% 0.14/0.40 ( ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))) = $true)) )),
% 0.14/0.40 inference(cnf_transformation,[],[f87])).
% 0.14/0.40 thf(f87,plain,(
% 0.14/0.40 ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))) = $true)),
% 0.14/0.40 inference(fool_elimination,[],[f86])).
% 0.14/0.40 thf(f86,plain,(
% 0.14/0.40 ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.14/0.40 inference(rectify,[],[f22])).
% 0.14/0.40 thf(f22,axiom,(
% 0.14/0.40 ! [X9 : tyop_2Erealax_2Ereal,X16 : tyop_2Erealax_2Ereal] : (c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X9 @ X16)))),
% 0.14/0.40 file('/export/starexec/sandbox2/tmp/tmp.TAZ7SQoDi8/Vampire---4.8_4567',thm_2Ereal__topology_2EBOUNDED__CBALL)).
% 0.14/0.40 thf(f242,plain,(
% 0.14/0.40 ( ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))) != $true) | ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))) = $true)) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f233])).
% 0.14/0.40 thf(f233,plain,(
% 0.14/0.40 ( ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (($false = $true) | ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))) != $true) | ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))) = $true)) )),
% 0.14/0.40 inference(superposition,[],[f131,f169])).
% 0.14/0.40 thf(f169,plain,(
% 0.14/0.40 ( ! [X0 : tyop_2Erealax_2Ereal > $o,X1 : tyop_2Erealax_2Ereal > $o] : (((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1) = $false) | ((c_2Ereal__topology_2Ebounded__def @ X1) != $true) | ($true = (c_2Ereal__topology_2Ebounded__def @ X0))) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f167])).
% 0.14/0.40 thf(f167,plain,(
% 0.14/0.40 ( ! [X0 : tyop_2Erealax_2Ereal > $o,X1 : tyop_2Erealax_2Ereal > $o] : (((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1) = $false) | ($true = (c_2Ereal__topology_2Ebounded__def @ X0)) | ($true != $true) | ((c_2Ereal__topology_2Ebounded__def @ X1) != $true)) )),
% 0.14/0.40 inference(superposition,[],[f113,f154])).
% 0.14/0.40 thf(f154,plain,(
% 0.14/0.40 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.14/0.40 inference(subsumption_resolution,[],[f151,f132])).
% 0.14/0.40 thf(f151,plain,(
% 0.14/0.40 ( ! [X0 : $o] : (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ sK0 @ sK1))) = $true) | ($true = X0) | ($false = X0)) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f150])).
% 0.14/0.40 thf(f150,plain,(
% 0.14/0.40 ( ! [X0 : $o] : (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ sK0 @ sK1))) = X0) | ($true = X0)) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f149])).
% 0.14/0.40 thf(f149,plain,(
% 0.14/0.40 ( ! [X0 : $o] : (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ sK0 @ sK1))) = X0) | ($true != $true) | ($true = X0)) )),
% 0.14/0.40 inference(superposition,[],[f132,f125])).
% 0.14/0.40 thf(f125,plain,(
% 0.14/0.40 ( ! [X0 : $o,X1 : $o] : (($true = X1) | ($true = X0) | (X0 = X1)) )),
% 0.14/0.40 inference(cnf_transformation,[],[f104])).
% 0.14/0.40 thf(f104,plain,(
% 0.14/0.40 ! [X0 : $o,X1 : $o] : ((($true != X0) & ($true = X1)) | (($true = X0) & ($true != X1)) | (X0 = X1))),
% 0.14/0.40 inference(flattening,[],[f103])).
% 0.14/0.40 thf(f103,plain,(
% 0.14/0.40 ! [X0 : $o,X1 : $o] : (((X0 = X1) | (($true != X0) & ($true = X1))) | (($true = X0) & ($true != X1)))),
% 0.14/0.40 inference(ennf_transformation,[],[f97])).
% 0.14/0.40 thf(f97,plain,(
% 0.14/0.40 ! [X0 : $o,X1 : $o] : ((($true = X0) => ($true = X1)) => ((($true = X1) => ($true = X0)) => (X0 = X1)))),
% 0.14/0.40 inference(fool_elimination,[],[f96])).
% 0.14/0.40 thf(f96,plain,(
% 0.14/0.40 ! [X0 : $o,X1 : $o] : ((X0 => X1) => ((X1 => X0) => (X0 = X1)))),
% 0.14/0.40 inference(rectify,[],[f9])).
% 0.14/0.40 thf(f9,axiom,(
% 0.14/0.40 ! [X6 : $o,X7 : $o] : ((X6 => X7) => ((X7 => X6) => (X6 = X7)))),
% 0.14/0.40 file('/export/starexec/sandbox2/tmp/tmp.TAZ7SQoDi8/Vampire---4.8_4567',thm_2Ebool_2EIMP__ANTISYM__AX)).
% 0.14/0.40 thf(f113,plain,(
% 0.14/0.40 ( ! [X0 : tyop_2Erealax_2Ereal > $o,X1 : tyop_2Erealax_2Ereal > $o] : (((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1) != $true) | ((c_2Ereal__topology_2Ebounded__def @ X1) != $true) | ($true = (c_2Ereal__topology_2Ebounded__def @ X0))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f102])).
% 0.14/0.40 thf(f102,plain,(
% 0.14/0.40 ! [X0 : tyop_2Erealax_2Ereal > $o,X1 : tyop_2Erealax_2Ereal > $o] : (($true = (c_2Ereal__topology_2Ebounded__def @ X0)) | ((c_2Ereal__topology_2Ebounded__def @ X1) != $true) | ((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1) != $true))),
% 0.14/0.40 inference(flattening,[],[f101])).
% 0.14/0.40 thf(f101,plain,(
% 0.14/0.40 ! [X0 : tyop_2Erealax_2Ereal > $o,X1 : tyop_2Erealax_2Ereal > $o] : (($true = (c_2Ereal__topology_2Ebounded__def @ X0)) | (((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1) != $true) | ((c_2Ereal__topology_2Ebounded__def @ X1) != $true)))),
% 0.14/0.40 inference(ennf_transformation,[],[f63])).
% 0.14/0.40 thf(f63,plain,(
% 0.14/0.40 ! [X0 : tyop_2Erealax_2Ereal > $o,X1 : tyop_2Erealax_2Ereal > $o] : ((((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1) = $true) & ((c_2Ereal__topology_2Ebounded__def @ X1) = $true)) => ($true = (c_2Ereal__topology_2Ebounded__def @ X0)))),
% 0.14/0.40 inference(fool_elimination,[],[f62])).
% 0.14/0.40 thf(f62,plain,(
% 0.14/0.40 ! [X0 : tyop_2Erealax_2Ereal > $o,X1 : tyop_2Erealax_2Ereal > $o] : (((c_2Ereal__topology_2Ebounded__def @ X1) & (c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1)) => (c_2Ereal__topology_2Ebounded__def @ X0))),
% 0.14/0.40 inference(rectify,[],[f21])).
% 0.14/0.40 thf(f21,axiom,(
% 0.14/0.40 ! [X17 : tyop_2Erealax_2Ereal > $o,X18 : tyop_2Erealax_2Ereal > $o] : (((c_2Ereal__topology_2Ebounded__def @ X18) & (c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X17 @ X18)) => (c_2Ereal__topology_2Ebounded__def @ X17))),
% 0.14/0.40 file('/export/starexec/sandbox2/tmp/tmp.TAZ7SQoDi8/Vampire---4.8_4567',thm_2Ereal__topology_2EBOUNDED__SUBSET)).
% 0.14/0.40 thf(f131,plain,(
% 0.14/0.40 ( ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (($true = (c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)) @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f65])).
% 0.14/0.40 thf(f65,plain,(
% 0.14/0.40 ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : ($true = (c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)) @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))))),
% 0.14/0.40 inference(fool_elimination,[],[f64])).
% 0.14/0.40 thf(f64,plain,(
% 0.14/0.40 ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)) @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.14/0.40 inference(rectify,[],[f20])).
% 0.14/0.40 thf(f20,axiom,(
% 0.14/0.40 ! [X9 : tyop_2Erealax_2Ereal,X16 : tyop_2Erealax_2Ereal] : (c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X9 @ X16)) @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X9 @ X16)))),
% 0.14/0.40 file('/export/starexec/sandbox2/tmp/tmp.TAZ7SQoDi8/Vampire---4.8_4567',thm_2Ereal__topology_2EBALL__SUBSET__CBALL)).
% 0.14/0.40 thf(f132,plain,(
% 0.14/0.40 ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ sK0 @ sK1))) != $true)),
% 0.14/0.40 inference(cnf_transformation,[],[f112])).
% 0.14/0.40 thf(f112,plain,(
% 0.14/0.40 ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ sK0 @ sK1))) != $true)),
% 0.14/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f105,f111])).
% 0.14/0.40 thf(f111,plain,(
% 0.14/0.40 ? [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))) != $true) => ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ sK0 @ sK1))) != $true)),
% 0.14/0.40 introduced(choice_axiom,[])).
% 0.14/0.40 thf(f105,plain,(
% 0.14/0.40 ? [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))) != $true)),
% 0.14/0.40 inference(ennf_transformation,[],[f59])).
% 0.14/0.40 thf(f59,plain,(
% 0.14/0.40 ~! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1))) = $true)),
% 0.14/0.40 inference(fool_elimination,[],[f58])).
% 0.14/0.40 thf(f58,plain,(
% 0.14/0.40 ~! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.14/0.40 inference(rectify,[],[f34])).
% 0.14/0.40 thf(f34,negated_conjecture,(
% 0.14/0.40 ~! [X9 : tyop_2Erealax_2Ereal,X16 : tyop_2Erealax_2Ereal] : (c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X9 @ X16)))),
% 0.14/0.40 inference(negated_conjecture,[],[f33])).
% 0.14/0.40 thf(f33,conjecture,(
% 0.14/0.40 ! [X9 : tyop_2Erealax_2Ereal,X16 : tyop_2Erealax_2Ereal] : (c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X9 @ X16)))),
% 0.14/0.40 file('/export/starexec/sandbox2/tmp/tmp.TAZ7SQoDi8/Vampire---4.8_4567',thm_2Ereal__topology_2EBOUNDED__BALL)).
% 0.14/0.40 % SZS output end Proof for Vampire---4
% 0.14/0.40 % (4681)------------------------------
% 0.14/0.40 % (4681)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (4681)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (4681)Memory used [KB]: 5628
% 0.14/0.40 % (4681)Time elapsed: 0.008 s
% 0.14/0.40 % (4681)Instructions burned: 9 (million)
% 0.14/0.40 % (4681)------------------------------
% 0.14/0.40 % (4681)------------------------------
% 0.14/0.40 % (4675)Success in time 0.019 s
% 0.14/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------