TSTP Solution File: SEU459^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU459^1 : TPTP v8.2.0. Released v3.6.0.
% 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 : n013.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 : Tue May 21 03:48:59 EDT 2024
% Result : Theorem 0.17s 0.35s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU459^1 : TPTP v8.2.0. Released v3.6.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n013.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 15:57:53 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a TH0_THM_EQU_NAR problem
% 0.16/0.31 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/benchmark/theBenchmark.p
% 0.16/0.33 % (1270)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.33 % (1270)First to succeed.
% 0.16/0.33 % (1271)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 theBenchmark for (2999ds/4Mi)
% 0.16/0.33 % (1276)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.33 % (1273)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.33 % (1277)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.33 % (1274)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.33 % (1273)Instruction limit reached!
% 0.16/0.33 % (1273)------------------------------
% 0.16/0.33 % (1273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (1273)Termination reason: Unknown
% 0.16/0.33 % (1273)Termination phase: shuffling
% 0.16/0.33
% 0.16/0.33 % (1273)Memory used [KB]: 1023
% 0.16/0.33 % (1273)Time elapsed: 0.003 s
% 0.16/0.33 % (1273)Instructions burned: 3 (million)
% 0.16/0.33 % (1273)------------------------------
% 0.16/0.33 % (1273)------------------------------
% 0.16/0.33 % (1277)Instruction limit reached!
% 0.16/0.33 % (1277)------------------------------
% 0.16/0.33 % (1277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (1277)Termination reason: Unknown
% 0.16/0.33 % (1274)Instruction limit reached!
% 0.16/0.33 % (1274)------------------------------
% 0.16/0.33 % (1274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (1277)Termination phase: shuffling
% 0.16/0.33
% 0.16/0.33 % (1277)Memory used [KB]: 1023
% 0.16/0.33 % (1277)Time elapsed: 0.004 s
% 0.16/0.33 % (1277)Instructions burned: 3 (million)
% 0.16/0.33 % (1277)------------------------------
% 0.16/0.33 % (1277)------------------------------
% 0.16/0.33 % (1274)Termination reason: Unknown
% 0.16/0.33 % (1274)Termination phase: shuffling
% 0.16/0.33
% 0.16/0.33 % (1274)Memory used [KB]: 1023
% 0.16/0.33 % (1274)Time elapsed: 0.002 s
% 0.16/0.33 % (1274)Instructions burned: 2 (million)
% 0.16/0.33 % (1274)------------------------------
% 0.16/0.33 % (1274)------------------------------
% 0.16/0.33 % (1275)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.16/0.33 % (1271)Instruction limit reached!
% 0.16/0.33 % (1271)------------------------------
% 0.16/0.33 % (1271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (1271)Termination reason: Unknown
% 0.16/0.33 % (1271)Termination phase: Property scanning
% 0.16/0.33
% 0.16/0.33 % (1271)Memory used [KB]: 1023
% 0.16/0.33 % (1271)Time elapsed: 0.004 s
% 0.16/0.33 % (1271)Instructions burned: 5 (million)
% 0.16/0.33 % (1271)------------------------------
% 0.16/0.33 % (1271)------------------------------
% 0.17/0.34 % (1272)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 theBenchmark for (2999ds/27Mi)
% 0.17/0.34 % (1280)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.34 % (1280)Instruction limit reached!
% 0.17/0.34 % (1280)------------------------------
% 0.17/0.34 % (1280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34 % (1280)Termination reason: Unknown
% 0.17/0.34 % (1280)Termination phase: shuffling
% 0.17/0.34
% 0.17/0.34 % (1280)Memory used [KB]: 1023
% 0.17/0.34 % (1280)Time elapsed: 0.002 s
% 0.17/0.34 % (1280)Instructions burned: 3 (million)
% 0.17/0.34 % (1280)------------------------------
% 0.17/0.34 % (1280)------------------------------
% 0.17/0.34 % (1279)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 theBenchmark for (2999ds/15Mi)
% 0.17/0.34 % (1278)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 theBenchmark for (2999ds/37Mi)
% 0.17/0.34 % (1281)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 theBenchmark for (2999ds/1041Mi)
% 0.17/0.35 % (1276)Also succeeded, but the first one will report.
% 0.17/0.35 % (1272)Also succeeded, but the first one will report.
% 0.17/0.35 % (1270)Refutation found. Thanks to Tanya!
% 0.17/0.35 % SZS status Theorem for theBenchmark
% 0.17/0.35 % SZS output start Proof for theBenchmark
% 0.17/0.35 thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
% 0.17/0.35 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_6, type, refl: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
% 0.17/0.35 thf(func_def_9, type, symm: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
% 0.17/0.35 thf(func_def_13, type, trans: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
% 0.17/0.35 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
% 0.17/0.35 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
% 0.17/0.35 thf(func_def_17, type, po: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_18, type, so: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_19, type, total: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_20, type, term: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_21, type, ind: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
% 0.17/0.35 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
% 0.17/0.35 thf(func_def_24, type, norm: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
% 0.17/0.35 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_28, type, confl: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_29, type, cr: ($i > $i > $o) > $o).
% 0.17/0.35 thf(func_def_46, type, sK1: $i > $i > $o).
% 0.17/0.35 thf(f151,plain,(
% 0.17/0.35 $false),
% 0.17/0.35 inference(trivial_inequality_removal,[],[f150])).
% 0.17/0.35 thf(f150,plain,(
% 0.17/0.35 ($true = $false)),
% 0.17/0.35 inference(superposition,[],[f146,f148])).
% 0.17/0.35 thf(f148,plain,(
% 0.17/0.35 ($false = (sK1 @ sK2 @ sK3))),
% 0.17/0.35 inference(binary_proxy_clausification,[],[f145])).
% 0.17/0.35 thf(f145,plain,(
% 0.17/0.35 (((sK1 @ sK2 @ sK3) | (sK1 @ sK3 @ sK2)) = $false)),
% 0.17/0.35 inference(binary_proxy_clausification,[],[f144])).
% 0.17/0.35 thf(f144,plain,(
% 0.17/0.35 ($false = ((sK1 @ sK2 @ sK3) => ((sK1 @ sK2 @ sK3) | (sK1 @ sK3 @ sK2))))),
% 0.17/0.35 inference(beta_eta_normalization,[],[f143])).
% 0.17/0.35 thf(f143,plain,(
% 0.17/0.35 ($false = ((^[Y0 : $i]: ((sK1 @ sK2 @ Y0) => ((sK1 @ sK2 @ Y0) | (sK1 @ Y0 @ sK2)))) @ sK3))),
% 0.17/0.35 inference(sigma_clausification,[],[f142])).
% 0.17/0.35 thf(f142,plain,(
% 0.17/0.35 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK1 @ sK2 @ Y0) => ((sK1 @ sK2 @ Y0) | (sK1 @ Y0 @ sK2))))))),
% 0.17/0.35 inference(beta_eta_normalization,[],[f141])).
% 0.17/0.35 thf(f141,plain,(
% 0.17/0.35 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => ((sK1 @ Y0 @ Y1) | (sK1 @ Y1 @ Y0)))))) @ sK2))),
% 0.17/0.35 inference(sigma_clausification,[],[f140])).
% 0.17/0.35 thf(f140,plain,(
% 0.17/0.35 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => ((sK1 @ Y0 @ Y1) | (sK1 @ Y1 @ Y0))))))) = $false)),
% 0.17/0.35 inference(beta_eta_normalization,[],[f139])).
% 0.17/0.35 thf(f139,plain,(
% 0.17/0.35 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)))))))) @ sK1) = $false)),
% 0.17/0.35 inference(sigma_clausification,[],[f138])).
% 0.17/0.35 thf(f138,plain,(
% 0.17/0.35 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1))))))))) != $true)),
% 0.17/0.35 inference(beta_eta_normalization,[],[f137])).
% 0.17/0.35 thf(f137,plain,(
% 0.17/0.35 ($true != ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5))))))))) @ Y1 @ (Y0 @ Y1))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)))))))))),
% 0.17/0.35 inference(definition_unfolding,[],[f97,f122,f109])).
% 0.17/0.35 thf(f109,plain,(
% 0.17/0.35 (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1))))))))),
% 0.17/0.35 inference(cnf_transformation,[],[f62])).
% 0.17/0.35 thf(f62,plain,(
% 0.17/0.35 (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1))))))))),
% 0.17/0.35 inference(fool_elimination,[],[f61])).
% 0.17/0.35 thf(f61,plain,(
% 0.17/0.35 (sc = (^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : ((X0 @ X2 @ X1) | (X0 @ X1 @ X2))))),
% 0.17/0.35 inference(rectify,[],[f12])).
% 0.17/0.35 thf(f12,axiom,(
% 0.17/0.35 (sc = (^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : ((X0 @ X3 @ X2) | (X0 @ X2 @ X3))))),
% 0.17/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_closure)).
% 0.17/0.35 thf(f122,plain,(
% 0.17/0.35 (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5))))))))) @ Y1 @ (Y0 @ Y1))))))),
% 0.17/0.35 inference(definition_unfolding,[],[f108,f107])).
% 0.17/0.35 thf(f107,plain,(
% 0.17/0.35 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
% 0.17/0.35 inference(cnf_transformation,[],[f86])).
% 0.17/0.35 thf(f86,plain,(
% 0.17/0.35 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
% 0.17/0.35 inference(fool_elimination,[],[f85])).
% 0.17/0.35 thf(f85,plain,(
% 0.17/0.35 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X3 @ X2) => (X1 @ X3 @ X2)))))),
% 0.17/0.35 inference(rectify,[],[f1])).
% 0.17/0.35 thf(f1,axiom,(
% 0.17/0.35 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X3,X2] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))),
% 0.17/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subrel)).
% 0.17/0.35 thf(f108,plain,(
% 0.17/0.35 (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (subrel @ Y1 @ (Y0 @ Y1))))))),
% 0.17/0.35 inference(cnf_transformation,[],[f52])).
% 0.17/0.35 thf(f52,plain,(
% 0.17/0.35 (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (subrel @ Y1 @ (Y0 @ Y1))))))),
% 0.17/0.35 inference(fool_elimination,[],[f51])).
% 0.17/0.35 thf(f51,plain,(
% 0.17/0.35 (infl = (^[X0 : ($i > $i > $o) > $i > $i > $o] : (! [X1 : $i > $i > $o] : (subrel @ X1 @ (X0 @ X1)))))),
% 0.17/0.35 inference(rectify,[],[f4])).
% 0.17/0.35 thf(f4,axiom,(
% 0.17/0.35 (infl = (^[X4 : ($i > $i > $o) > $i > $i > $o] : (! [X0 : $i > $i > $o] : (subrel @ X0 @ (X4 @ X0)))))),
% 0.17/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inflationary)).
% 0.17/0.35 thf(f97,plain,(
% 0.17/0.35 ((infl @ sc) != $true)),
% 0.17/0.35 inference(cnf_transformation,[],[f91])).
% 0.17/0.35 thf(f91,plain,(
% 0.17/0.35 ((infl @ sc) != $true)),
% 0.17/0.35 inference(flattening,[],[f49])).
% 0.17/0.35 thf(f49,plain,(
% 0.17/0.35 ~((infl @ sc) = $true)),
% 0.17/0.35 inference(fool_elimination,[],[f48])).
% 0.17/0.35 thf(f48,plain,(
% 0.17/0.35 ~(infl @ sc)),
% 0.17/0.35 inference(rectify,[],[f31])).
% 0.17/0.35 thf(f31,negated_conjecture,(
% 0.17/0.35 ~(infl @ sc)),
% 0.17/0.35 inference(negated_conjecture,[],[f30])).
% 0.17/0.35 thf(f30,conjecture,(
% 0.17/0.35 (infl @ sc)),
% 0.17/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_closure_op_is_inflationary)).
% 0.17/0.35 thf(f146,plain,(
% 0.17/0.35 ($true = (sK1 @ sK2 @ sK3))),
% 0.17/0.35 inference(binary_proxy_clausification,[],[f144])).
% 0.17/0.35 % SZS output end Proof for theBenchmark
% 0.17/0.35 % (1270)------------------------------
% 0.17/0.35 % (1270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (1270)Termination reason: Refutation
% 0.17/0.35
% 0.17/0.35 % (1270)Memory used [KB]: 5628
% 0.17/0.35 % (1270)Time elapsed: 0.006 s
% 0.17/0.35 % (1270)Instructions burned: 10 (million)
% 0.17/0.35 % (1270)------------------------------
% 0.17/0.35 % (1270)------------------------------
% 0.17/0.36 % (1269)Success in time 0.023 s
% 0.17/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------