TSTP Solution File: SEU455^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU455^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 0.13s 0.31s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU455^1 : TPTP v8.2.0. Released v3.6.0.
% 0.00/0.09 % 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
% 0.08/0.29 % Computer : n008.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun May 19 16:29:37 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.08/0.29 This is a TH0_THM_EQU_NAR problem
% 0.08/0.29 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/benchmark/theBenchmark.p
% 0.08/0.31 % (9803)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)
% 0.08/0.31 % (9800)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)
% 0.08/0.31 % (9804)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)
% 0.08/0.31 % (9801)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)
% 0.08/0.31 % (9799)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.08/0.31 % (9802)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.08/0.31 % (9805)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.08/0.31 % (9806)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)
% 0.08/0.31 % (9802)Instruction limit reached!
% 0.08/0.31 % (9802)------------------------------
% 0.08/0.31 % (9802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.31 % (9802)Termination reason: Unknown
% 0.08/0.31 % (9803)Instruction limit reached!
% 0.08/0.31 % (9803)------------------------------
% 0.08/0.31 % (9803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.31 % (9802)Termination phase: shuffling
% 0.08/0.31
% 0.08/0.31 % (9802)Memory used [KB]: 1023
% 0.08/0.31 % (9802)Time elapsed: 0.003 s
% 0.08/0.31 % (9802)Instructions burned: 2 (million)
% 0.08/0.31 % (9802)------------------------------
% 0.08/0.31 % (9802)------------------------------
% 0.08/0.31 % (9803)Termination reason: Unknown
% 0.08/0.31 % (9803)Termination phase: shuffling
% 0.08/0.31
% 0.08/0.31 % (9803)Memory used [KB]: 1023
% 0.08/0.31 % (9803)Time elapsed: 0.003 s
% 0.08/0.31 % (9803)Instructions burned: 3 (million)
% 0.08/0.31 % (9803)------------------------------
% 0.08/0.31 % (9803)------------------------------
% 0.08/0.31 % (9806)Instruction limit reached!
% 0.08/0.31 % (9806)------------------------------
% 0.08/0.31 % (9806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.31 % (9806)Termination reason: Unknown
% 0.08/0.31 % (9806)Termination phase: shuffling
% 0.08/0.31
% 0.08/0.31 % (9806)Memory used [KB]: 1023
% 0.08/0.31 % (9806)Time elapsed: 0.003 s
% 0.08/0.31 % (9806)Instructions burned: 3 (million)
% 0.08/0.31 % (9806)------------------------------
% 0.08/0.31 % (9806)------------------------------
% 0.08/0.31 % (9800)Instruction limit reached!
% 0.08/0.31 % (9800)------------------------------
% 0.08/0.31 % (9800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.31 % (9800)Termination reason: Unknown
% 0.08/0.31 % (9800)Termination phase: Property scanning
% 0.08/0.31
% 0.13/0.31 % (9800)Memory used [KB]: 1023
% 0.13/0.31 % (9800)Time elapsed: 0.004 s
% 0.13/0.31 % (9800)Instructions burned: 4 (million)
% 0.13/0.31 % (9800)------------------------------
% 0.13/0.31 % (9800)------------------------------
% 0.13/0.31 % (9804)Refutation not found, incomplete strategy
% 0.13/0.31 % (9804)------------------------------
% 0.13/0.31 % (9804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.31 % (9804)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.31
% 0.13/0.31
% 0.13/0.31 % (9804)Memory used [KB]: 5628
% 0.13/0.31 % (9804)Time elapsed: 0.006 s
% 0.13/0.31 % (9804)Instructions burned: 7 (million)
% 0.13/0.31 % (9804)------------------------------
% 0.13/0.31 % (9804)------------------------------
% 0.13/0.31 % (9805)First to succeed.
% 0.13/0.31 % (9799)Also succeeded, but the first one will report.
% 0.13/0.31 % (9805)Refutation found. Thanks to Tanya!
% 0.13/0.31 % SZS status Theorem for theBenchmark
% 0.13/0.31 % SZS output start Proof for theBenchmark
% 0.13/0.31 thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.31 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_6, type, refl: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.31 thf(func_def_9, type, symm: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.31 thf(func_def_13, type, trans: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.31 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.31 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.31 thf(func_def_17, type, po: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_18, type, so: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_19, type, total: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_20, type, term: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_21, type, ind: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
% 0.13/0.31 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.31 thf(func_def_24, type, norm: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.31 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_28, type, confl: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_29, type, cr: ($i > $i > $o) > $o).
% 0.13/0.31 thf(func_def_46, type, sK1: $i > $i > $o).
% 0.13/0.31 thf(f151,plain,(
% 0.13/0.31 $false),
% 0.13/0.31 inference(trivial_inequality_removal,[],[f150])).
% 0.13/0.31 thf(f150,plain,(
% 0.13/0.31 ($false = $true)),
% 0.13/0.31 inference(forward_demodulation,[],[f146,f147])).
% 0.13/0.31 thf(f147,plain,(
% 0.13/0.31 ($false = (sK1 @ sK3 @ sK2))),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f145])).
% 0.13/0.31 thf(f145,plain,(
% 0.13/0.31 (((sK3 = sK2) | (sK1 @ sK3 @ sK2)) = $false)),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f144])).
% 0.13/0.31 thf(f144,plain,(
% 0.13/0.31 ($false = ((sK1 @ sK3 @ sK2) => ((sK3 = sK2) | (sK1 @ sK3 @ sK2))))),
% 0.13/0.31 inference(beta_eta_normalization,[],[f143])).
% 0.13/0.31 thf(f143,plain,(
% 0.13/0.31 (((^[Y0 : $i]: ((sK1 @ Y0 @ sK2) => ((Y0 = sK2) | (sK1 @ Y0 @ sK2)))) @ sK3) = $false)),
% 0.13/0.31 inference(sigma_clausification,[],[f142])).
% 0.13/0.31 thf(f142,plain,(
% 0.13/0.31 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0 @ sK2) => ((Y0 = sK2) | (sK1 @ Y0 @ sK2))))))),
% 0.13/0.31 inference(beta_eta_normalization,[],[f141])).
% 0.13/0.31 thf(f141,plain,(
% 0.13/0.31 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y1 @ Y0) => ((Y1 = Y0) | (sK1 @ Y1 @ Y0)))))) @ sK2) = $false)),
% 0.13/0.31 inference(sigma_clausification,[],[f140])).
% 0.13/0.31 thf(f140,plain,(
% 0.13/0.31 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y1 @ Y0) => ((Y1 = Y0) | (sK1 @ Y1 @ Y0))))))))),
% 0.13/0.31 inference(beta_eta_normalization,[],[f139])).
% 0.13/0.31 thf(f139,plain,(
% 0.13/0.31 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => ((Y2 = Y1) | (Y0 @ Y2 @ Y1)))))))) @ sK1) = $false)),
% 0.13/0.31 inference(sigma_clausification,[],[f138])).
% 0.13/0.31 thf(f138,plain,(
% 0.13/0.31 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => ((Y2 = Y1) | (Y0 @ Y2 @ Y1))))))))) != $true)),
% 0.13/0.31 inference(beta_eta_normalization,[],[f137])).
% 0.13/0.31 thf(f137,plain,(
% 0.13/0.31 (((^[Y0 : ($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 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))))) @ Y1 @ (Y0 @ Y1))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2)))))))) != $true)),
% 0.13/0.31 inference(definition_unfolding,[],[f104,f122,f99])).
% 0.13/0.31 thf(f99,plain,(
% 0.13/0.31 (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2))))))))),
% 0.13/0.31 inference(cnf_transformation,[],[f67])).
% 0.13/0.31 thf(f67,plain,(
% 0.13/0.31 (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2))))))))),
% 0.13/0.31 inference(fool_elimination,[],[f66])).
% 0.13/0.31 thf(f66,plain,(
% 0.13/0.31 ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : ((X0 @ X1 @ X2) | (X1 = X2))) = rc)),
% 0.13/0.31 inference(rectify,[],[f8])).
% 0.13/0.31 thf(f8,axiom,(
% 0.13/0.31 ((^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : ((X0 @ X2 @ X3) | (X2 = X3))) = rc)),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexive_closure)).
% 0.13/0.31 thf(f122,plain,(
% 0.13/0.31 (infl = (^[Y0 : ($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 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))))) @ Y1 @ (Y0 @ Y1))))))),
% 0.13/0.31 inference(definition_unfolding,[],[f107,f105])).
% 0.13/0.31 thf(f105,plain,(
% 0.13/0.31 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
% 0.13/0.31 inference(cnf_transformation,[],[f44])).
% 0.13/0.31 thf(f44,plain,(
% 0.13/0.31 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
% 0.13/0.31 inference(fool_elimination,[],[f43])).
% 0.13/0.31 thf(f43,plain,(
% 0.13/0.31 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))),
% 0.13/0.31 inference(rectify,[],[f1])).
% 0.13/0.31 thf(f1,axiom,(
% 0.13/0.31 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subrel)).
% 0.13/0.31 thf(f107,plain,(
% 0.13/0.31 (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (subrel @ Y1 @ (Y0 @ Y1))))))),
% 0.13/0.31 inference(cnf_transformation,[],[f42])).
% 0.13/0.31 thf(f42,plain,(
% 0.13/0.31 (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (subrel @ Y1 @ (Y0 @ Y1))))))),
% 0.13/0.31 inference(fool_elimination,[],[f41])).
% 0.13/0.31 thf(f41,plain,(
% 0.13/0.31 ((^[X0 : ($i > $i > $o) > $i > $i > $o] : (! [X1 : $i > $i > $o] : (subrel @ X1 @ (X0 @ X1)))) = infl)),
% 0.13/0.31 inference(rectify,[],[f4])).
% 0.13/0.31 thf(f4,axiom,(
% 0.13/0.31 ((^[X4 : ($i > $i > $o) > $i > $i > $o] : (! [X0 : $i > $i > $o] : (subrel @ X0 @ (X4 @ X0)))) = infl)),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',inflationary)).
% 0.13/0.31 thf(f104,plain,(
% 0.13/0.31 ((infl @ rc) != $true)),
% 0.13/0.31 inference(cnf_transformation,[],[f91])).
% 0.13/0.31 thf(f91,plain,(
% 0.13/0.31 ((infl @ rc) != $true)),
% 0.13/0.31 inference(flattening,[],[f69])).
% 0.13/0.31 thf(f69,plain,(
% 0.13/0.31 ~((infl @ rc) = $true)),
% 0.13/0.31 inference(fool_elimination,[],[f68])).
% 0.13/0.31 thf(f68,plain,(
% 0.13/0.31 ~(infl @ rc)),
% 0.13/0.31 inference(rectify,[],[f31])).
% 0.13/0.31 thf(f31,negated_conjecture,(
% 0.13/0.31 ~(infl @ rc)),
% 0.13/0.31 inference(negated_conjecture,[],[f30])).
% 0.13/0.31 thf(f30,conjecture,(
% 0.13/0.31 (infl @ rc)),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexive_closure_op_is_inflationary)).
% 0.13/0.31 thf(f146,plain,(
% 0.13/0.31 ((sK1 @ sK3 @ sK2) = $true)),
% 0.13/0.31 inference(binary_proxy_clausification,[],[f144])).
% 0.13/0.31 % SZS output end Proof for theBenchmark
% 0.13/0.31 % (9805)------------------------------
% 0.13/0.31 % (9805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.31 % (9805)Termination reason: Refutation
% 0.13/0.31
% 0.13/0.31 % (9805)Memory used [KB]: 5628
% 0.13/0.31 % (9805)Time elapsed: 0.007 s
% 0.13/0.31 % (9805)Instructions burned: 10 (million)
% 0.13/0.31 % (9805)------------------------------
% 0.13/0.31 % (9805)------------------------------
% 0.13/0.31 % (9798)Success in time 0.009 s
% 0.13/0.32 % Vampire---4.8 exiting
%------------------------------------------------------------------------------