TSTP Solution File: NUM817^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM817^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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 : n005.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 08:15:49 EDT 2024
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM817^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.14/0.14 % 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
% 0.14/0.35 % Computer : n005.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 14:27:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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.aD5CIygQ9k/Vampire---4.8_1105
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% 0.20/0.53 % (1361)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 (2998ds/27Mi)
% 0.20/0.53 % (1359)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2998ds/183Mi)
% 0.20/0.53 % (1363)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 (2998ds/2Mi)
% 0.20/0.53 % (1362)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2998ds/2Mi)
% 0.20/0.53 % (1366)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 (2998ds/3Mi)
% 0.20/0.53 % (1362)Instruction limit reached!
% 0.20/0.53 % (1362)------------------------------
% 0.20/0.53 % (1362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (1362)Termination reason: Unknown
% 0.20/0.53 % (1363)Instruction limit reached!
% 0.20/0.53 % (1363)------------------------------
% 0.20/0.53 % (1363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (1362)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (1362)Memory used [KB]: 895
% 0.20/0.53 % (1362)Time elapsed: 0.003 s
% 0.20/0.53 % (1362)Instructions burned: 2 (million)
% 0.20/0.53 % (1362)------------------------------
% 0.20/0.53 % (1362)------------------------------
% 0.20/0.53 % (1363)Termination reason: Unknown
% 0.20/0.53 % (1363)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (1363)Memory used [KB]: 895
% 0.20/0.53 % (1363)Time elapsed: 0.003 s
% 0.20/0.53 % (1363)Instructions burned: 2 (million)
% 0.20/0.53 % (1363)------------------------------
% 0.20/0.53 % (1363)------------------------------
% 0.20/0.53 % (1361)Refutation not found, incomplete strategy
% 0.20/0.53 % (1361)------------------------------
% 0.20/0.53 % (1361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (1361)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 % (1361)Memory used [KB]: 5500
% 0.20/0.53 % (1361)Time elapsed: 0.004 s
% 0.20/0.53 % (1361)Instructions burned: 2 (million)
% 0.20/0.53 % (1361)------------------------------
% 0.20/0.53 % (1361)------------------------------
% 0.20/0.53 % (1364)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 (2998ds/275Mi)
% 0.20/0.53 % (1366)Refutation not found, incomplete strategy
% 0.20/0.53 % (1366)------------------------------
% 0.20/0.53 % (1366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (1366)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 % (1366)Memory used [KB]: 5500
% 0.20/0.53 % (1366)Time elapsed: 0.004 s
% 0.20/0.53 % (1366)Instructions burned: 2 (million)
% 0.20/0.53 % (1366)------------------------------
% 0.20/0.53 % (1366)------------------------------
% 0.20/0.53 % (1364)Refutation not found, incomplete strategy
% 0.20/0.53 % (1364)------------------------------
% 0.20/0.53 % (1364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (1364)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 % (1364)Memory used [KB]: 5500
% 0.20/0.53 % (1364)Time elapsed: 0.003 s
% 0.20/0.53 % (1364)Instructions burned: 2 (million)
% 0.20/0.53 % (1364)------------------------------
% 0.20/0.53 % (1364)------------------------------
% 0.20/0.53 % (1365)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2998ds/18Mi)
% 0.20/0.54 % (1360)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 (2998ds/4Mi)
% 0.20/0.54 % (1369)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 (2998ds/3Mi)
% 0.20/0.54 % (1369)Refutation not found, incomplete strategy
% 0.20/0.54 % (1369)------------------------------
% 0.20/0.54 % (1369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (1369)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 % (1369)Memory used [KB]: 5500
% 0.20/0.54 % (1369)Time elapsed: 0.003 s
% 0.20/0.54 % (1369)Instructions burned: 1 (million)
% 0.20/0.54 % (1369)------------------------------
% 0.20/0.54 % (1369)------------------------------
% 0.20/0.54 % (1360)Instruction limit reached!
% 0.20/0.54 % (1360)------------------------------
% 0.20/0.54 % (1360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (1360)Termination reason: Unknown
% 0.20/0.54 % (1360)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (1360)Memory used [KB]: 5500
% 0.20/0.54 % (1360)Time elapsed: 0.005 s
% 0.20/0.54 % (1360)Instructions burned: 4 (million)
% 0.20/0.54 % (1360)------------------------------
% 0.20/0.54 % (1360)------------------------------
% 0.20/0.54 % (1367)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 (2998ds/37Mi)
% 0.20/0.54 % (1368)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 (2998ds/15Mi)
% 0.20/0.54 % (1371)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2998ds/7Mi)
% 0.20/0.54 % (1365)Instruction limit reached!
% 0.20/0.54 % (1365)------------------------------
% 0.20/0.54 % (1365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (1365)Termination reason: Unknown
% 0.20/0.54 % (1365)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (1365)Memory used [KB]: 5628
% 0.20/0.54 % (1365)Time elapsed: 0.013 s
% 0.20/0.54 % (1365)Instructions burned: 18 (million)
% 0.20/0.54 % (1365)------------------------------
% 0.20/0.54 % (1365)------------------------------
% 0.20/0.55 % (1371)Instruction limit reached!
% 0.20/0.55 % (1371)------------------------------
% 0.20/0.55 % (1371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.55 % (1371)Termination reason: Unknown
% 0.20/0.55 % (1371)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (1371)Memory used [KB]: 1023
% 0.20/0.55 % (1371)Time elapsed: 0.005 s
% 0.20/0.55 % (1371)Instructions burned: 7 (million)
% 0.20/0.55 % (1371)------------------------------
% 0.20/0.55 % (1371)------------------------------
% 0.20/0.55 % (1359)First to succeed.
% 0.20/0.55 % (1372)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2998ds/16Mi)
% 0.20/0.55 % (1359)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for Vampire---4
% 0.20/0.55 % SZS output start Proof for Vampire---4
% 0.20/0.55 thf(func_def_1, type, cS: $i > $i).
% 0.20/0.55 thf(func_def_2, type, cEVEN1: $i > $o).
% 0.20/0.55 thf(func_def_3, type, cODD1: $i > $o).
% 0.20/0.55 thf(func_def_15, type, sK1: ($i > $o) > $i).
% 0.20/0.55 thf(func_def_16, type, ph2: !>[X0: $tType]:(X0)).
% 0.20/0.55 thf(f375,plain,(
% 0.20/0.55 $false),
% 0.20/0.55 inference(equality_resolution,[],[f374])).
% 0.20/0.55 thf(f374,plain,(
% 0.20/0.55 ( ! [X0 : $i] : ((c0 != X0)) )),
% 0.20/0.55 inference(subsumption_resolution,[],[f373,f19])).
% 0.20/0.55 thf(f19,plain,(
% 0.20/0.55 ( ! [X0 : $i] : ((c0 != (cS @ X0))) )),
% 0.20/0.55 inference(cnf_transformation,[],[f14])).
% 0.20/0.55 thf(f14,plain,(
% 0.20/0.55 ! [X0] : (c0 != (cS @ X0)) & ! [X1,X2] : ((X1 = X2) | ((cS @ X2) != (cS @ X1))) & ! [X3] : ($true != (cODD1 @ X3))),
% 0.20/0.55 inference(rectify,[],[f13])).
% 0.20/0.55 thf(f13,plain,(
% 0.20/0.55 ! [X2] : (c0 != (cS @ X2)) & ! [X0,X1] : ((X0 = X1) | ((cS @ X0) != (cS @ X1))) & ! [X3] : ($true != (cODD1 @ X3))),
% 0.20/0.55 inference(flattening,[],[f12])).
% 0.20/0.55 thf(f12,plain,(
% 0.20/0.55 ! [X3] : ($true != (cODD1 @ X3)) & (! [X0,X1] : ((X0 = X1) | ((cS @ X0) != (cS @ X1))) & ! [X2] : (c0 != (cS @ X2)))),
% 0.20/0.55 inference(ennf_transformation,[],[f11])).
% 0.20/0.55 thf(f11,plain,(
% 0.20/0.55 ~((! [X0,X1] : (((cS @ X0) = (cS @ X1)) => (X0 = X1)) & ! [X2] : (c0 != (cS @ X2))) => ? [X3] : ($true = (cODD1 @ X3)))),
% 0.20/0.55 inference(fool_elimination,[],[f10])).
% 0.20/0.55 thf(f10,plain,(
% 0.20/0.55 ~((! [X0,X1] : (((cS @ X0) = (cS @ X1)) => (X0 = X1)) & ! [X2] : (c0 != (cS @ X2))) => ? [X3] : (cODD1 @ X3))),
% 0.20/0.55 inference(rectify,[],[f4])).
% 0.20/0.55 thf(f4,negated_conjecture,(
% 0.20/0.55 ~((! [X4,X5] : (((cS @ X4) = (cS @ X5)) => (X4 = X5)) & ! [X3] : (c0 != (cS @ X3))) => ? [X0] : (cODD1 @ X0))),
% 0.20/0.55 inference(negated_conjecture,[],[f3])).
% 0.20/0.55 thf(f3,conjecture,(
% 0.20/0.55 (! [X4,X5] : (((cS @ X4) = (cS @ X5)) => (X4 = X5)) & ! [X3] : (c0 != (cS @ X3))) => ? [X0] : (cODD1 @ X0)),
% 0.20/0.55 file('/export/starexec/sandbox2/tmp/tmp.aD5CIygQ9k/Vampire---4.8_1105',cTHM405)).
% 0.20/0.55 thf(f373,plain,(
% 0.20/0.55 ( ! [X0 : $i] : ((c0 = (cS @ X0)) | (c0 != X0)) )),
% 0.20/0.55 inference(equality_resolution,[],[f356])).
% 0.20/0.55 thf(f356,plain,(
% 0.20/0.55 ( ! [X0 : $i,X1 : $i] : (((cS @ X1) != X0) | (c0 = X0) | (c0 != X1)) )),
% 0.20/0.55 inference(superposition,[],[f19,f219])).
% 0.20/0.55 thf(f219,plain,(
% 0.20/0.55 ( ! [X0 : $i,X1 : $i] : (((cS @ (sK1 @ (^[Y0 : $i]: (~ (X0 = Y0))))) = X1) | ((cS @ X1) != X0) | (c0 = X0)) )),
% 0.20/0.55 inference(superposition,[],[f18,f172])).
% 0.20/0.55 thf(f172,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (((cS @ (cS @ (sK1 @ (^[Y0 : $i]: (~ (X0 = Y0)))))) = X0) | (c0 = X0)) )),
% 0.20/0.55 inference(equality_proxy_clausification,[],[f171])).
% 0.20/0.55 thf(f171,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (((cS @ (cS @ (sK1 @ (^[Y0 : $i]: (~ (X0 = Y0)))))) = X0) | ((X0 = c0) = $true)) )),
% 0.20/0.55 inference(not_proxy_clausification,[],[f170])).
% 0.20/0.55 thf(f170,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (((cS @ (cS @ (sK1 @ (^[Y0 : $i]: (~ (X0 = Y0)))))) = X0) | ($false = (~ (X0 = c0)))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f130])).
% 0.20/0.55 thf(f130,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (((cS @ (cS @ (sK1 @ (^[Y0 : $i]: (~ (X0 = Y0)))))) = X0) | ($false = ((^[Y0 : $i]: (~ (X0 = Y0))) @ c0))) )),
% 0.20/0.55 inference(leibniz_equality_elimination,[],[f30])).
% 0.20/0.55 thf(f30,plain,(
% 0.20/0.55 ( ! [X3 : $i,X4 : $i > $o] : (((X4 @ (cS @ (cS @ (sK1 @ X4)))) = $false) | ((X4 @ X3) = $true) | ((X4 @ c0) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f29])).
% 0.20/0.55 thf(f29,plain,(
% 0.20/0.55 ( ! [X3 : $i,X4 : $i > $o] : (((X4 @ X3) = $true) | ($false = ((X4 @ (sK1 @ X4)) => (X4 @ (cS @ (cS @ (sK1 @ X4)))))) | ((X4 @ c0) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f28])).
% 0.20/0.55 thf(f28,plain,(
% 0.20/0.55 ( ! [X3 : $i,X4 : $i > $o] : (((X4 @ X3) = $true) | ($false = ((^[Y0 : $i]: ((X4 @ Y0) => (X4 @ (cS @ (cS @ Y0))))) @ (sK1 @ X4))) | ((X4 @ c0) = $false)) )),
% 0.20/0.55 inference(sigma_clausification,[],[f27])).
% 0.20/0.55 thf(f27,plain,(
% 0.20/0.55 ( ! [X3 : $i,X4 : $i > $o] : (((X4 @ X3) = $true) | ((X4 @ c0) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X4 @ Y0) => (X4 @ (cS @ (cS @ Y0)))))))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f26])).
% 0.20/0.55 thf(f26,plain,(
% 0.20/0.55 ( ! [X3 : $i,X4 : $i > $o] : (((X4 @ X3) = $true) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((X4 @ Y0) => (X4 @ (cS @ (cS @ Y0)))))) & (X4 @ c0)))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f25])).
% 0.20/0.55 thf(f25,plain,(
% 0.20/0.55 ( ! [X3 : $i,X4 : $i > $o] : (((((!! @ $i @ (^[Y0 : $i]: ((X4 @ Y0) => (X4 @ (cS @ (cS @ Y0)))))) & (X4 @ c0)) => (X4 @ X3)) = $true)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f24])).
% 0.20/0.55 thf(f24,plain,(
% 0.20/0.55 ( ! [X3 : $i,X4 : $i > $o] : ((((^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ (cS @ Y1)))))) & (Y0 @ c0)) => (Y0 @ X3))) @ X4) = $true)) )),
% 0.20/0.55 inference(pi_clausification,[],[f23])).
% 0.20/0.55 thf(f23,plain,(
% 0.20/0.55 ( ! [X3 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ (cS @ Y1)))))) & (Y0 @ c0)) => (Y0 @ X3)))) = $true)) )),
% 0.20/0.55 inference(not_proxy_clausification,[],[f22])).
% 0.20/0.55 thf(f22,plain,(
% 0.20/0.55 ( ! [X3 : $i] : (((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ (cS @ Y1)))))) & (Y0 @ c0)) => (Y0 @ X3))))) != $true)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f21])).
% 0.20/0.55 thf(f21,plain,(
% 0.20/0.55 ( ! [X3 : $i] : (($true != ((^[Y0 : $i]: (~ ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (cS @ (cS @ Y3)))))) & (Y2 @ c0)) => (Y2 @ Y1))))) @ Y0))) @ X3))) )),
% 0.20/0.55 inference(definition_unfolding,[],[f17,f20])).
% 0.20/0.55 thf(f20,plain,(
% 0.20/0.55 (cODD1 = (^[Y0 : $i]: (~ ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (cS @ (cS @ Y3)))))) & (Y2 @ c0)) => (Y2 @ Y1))))) @ Y0))))),
% 0.20/0.55 inference(definition_unfolding,[],[f16,f15])).
% 0.20/0.55 thf(f15,plain,(
% 0.20/0.55 (cEVEN1 = (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (cS @ (cS @ Y2)))))) & (Y1 @ c0)) => (Y1 @ Y0))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f7])).
% 0.20/0.55 thf(f7,plain,(
% 0.20/0.55 (cEVEN1 = (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (cS @ (cS @ Y2)))))) & (Y1 @ c0)) => (Y1 @ Y0))))))),
% 0.20/0.55 inference(fool_elimination,[],[f6])).
% 0.20/0.55 thf(f6,plain,(
% 0.20/0.55 ((^[X0 : $i] : (! [X1 : $i > $o] : (((X1 @ c0) & ! [X2] : ((X1 @ X2) => (X1 @ (cS @ (cS @ X2))))) => (X1 @ X0)))) = cEVEN1)),
% 0.20/0.55 inference(rectify,[],[f1])).
% 0.20/0.55 thf(f1,axiom,(
% 0.20/0.55 ((^[X0 : $i] : (! [X1 : $i > $o] : (((X1 @ c0) & ! [X2] : ((X1 @ X2) => (X1 @ (cS @ (cS @ X2))))) => (X1 @ X0)))) = cEVEN1)),
% 0.20/0.55 file('/export/starexec/sandbox2/tmp/tmp.aD5CIygQ9k/Vampire---4.8_1105',cEVEN1_def)).
% 0.20/0.55 thf(f16,plain,(
% 0.20/0.55 (cODD1 = (^[Y0 : $i]: (~ (cEVEN1 @ Y0))))),
% 0.20/0.55 inference(cnf_transformation,[],[f9])).
% 0.20/0.55 thf(f9,plain,(
% 0.20/0.55 (cODD1 = (^[Y0 : $i]: (~ (cEVEN1 @ Y0))))),
% 0.20/0.55 inference(fool_elimination,[],[f8])).
% 0.20/0.55 thf(f8,plain,(
% 0.20/0.55 ((^[X0 : $i] : (~(cEVEN1 @ X0))) = cODD1)),
% 0.20/0.55 inference(rectify,[],[f2])).
% 0.20/0.55 thf(f2,axiom,(
% 0.20/0.55 ((^[X0 : $i] : (~(cEVEN1 @ X0))) = cODD1)),
% 0.20/0.55 file('/export/starexec/sandbox2/tmp/tmp.aD5CIygQ9k/Vampire---4.8_1105',cODD1_def)).
% 0.20/0.55 thf(f17,plain,(
% 0.20/0.55 ( ! [X3 : $i] : (($true != (cODD1 @ X3))) )),
% 0.20/0.55 inference(cnf_transformation,[],[f14])).
% 0.20/0.55 thf(f18,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : $i] : (((cS @ X2) != (cS @ X1)) | (X1 = X2)) )),
% 0.20/0.55 inference(cnf_transformation,[],[f14])).
% 0.20/0.55 % SZS output end Proof for Vampire---4
% 0.20/0.55 % (1359)------------------------------
% 0.20/0.55 % (1359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.55 % (1359)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (1359)Memory used [KB]: 5628
% 0.20/0.55 % (1359)Time elapsed: 0.024 s
% 0.20/0.55 % (1359)Instructions burned: 31 (million)
% 0.20/0.55 % (1359)------------------------------
% 0.20/0.55 % (1359)------------------------------
% 0.20/0.55 % (1224)Success in time 0.189 s
% 0.20/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------