TSTP Solution File: SYO066^4.001 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO066^4.001 : TPTP v8.2.0. Released v4.0.0.
% 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 : n010.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 09:02:39 EDT 2024
% Result : Theorem 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO066^4.001 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n010.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 : Mon May 20 09:38:37 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.35 This is a TH0_THM_EQU_NAR problem
% 0.20/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.20/0.37 % (28785)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.37 % (28786)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)
% 0.20/0.37 % (28779)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.37 % (28780)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)
% 0.20/0.37 % (28782)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.37 % (28786)Instruction limit reached!
% 0.20/0.37 % (28786)------------------------------
% 0.20/0.37 % (28786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (28786)Termination reason: Unknown
% 0.20/0.37 % (28786)Termination phase: Naming
% 0.20/0.37
% 0.20/0.37 % (28786)Memory used [KB]: 1023
% 0.20/0.37 % (28786)Time elapsed: 0.003 s
% 0.20/0.37 % (28786)Instructions burned: 3 (million)
% 0.20/0.37 % (28786)------------------------------
% 0.20/0.37 % (28786)------------------------------
% 0.20/0.37 % (28783)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)
% 0.20/0.37 % (28782)Instruction limit reached!
% 0.20/0.37 % (28782)------------------------------
% 0.20/0.37 % (28782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (28782)Termination reason: Unknown
% 0.20/0.37 % (28782)Termination phase: shuffling
% 0.20/0.37
% 0.20/0.37 % (28782)Memory used [KB]: 1023
% 0.20/0.37 % (28782)Time elapsed: 0.003 s
% 0.20/0.37 % (28782)Instructions burned: 2 (million)
% 0.20/0.37 % (28782)------------------------------
% 0.20/0.37 % (28782)------------------------------
% 0.20/0.37 % (28780)Instruction limit reached!
% 0.20/0.37 % (28780)------------------------------
% 0.20/0.37 % (28780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (28780)Termination reason: Unknown
% 0.20/0.37 % (28780)Termination phase: Property scanning
% 0.20/0.37
% 0.20/0.37 % (28780)Memory used [KB]: 1023
% 0.20/0.37 % (28780)Time elapsed: 0.004 s
% 0.20/0.37 % (28780)Instructions burned: 4 (million)
% 0.20/0.37 % (28780)------------------------------
% 0.20/0.37 % (28780)------------------------------
% 0.20/0.37 % (28783)Instruction limit reached!
% 0.20/0.37 % (28783)------------------------------
% 0.20/0.37 % (28783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (28783)Termination reason: Unknown
% 0.20/0.37 % (28783)Termination phase: Property scanning
% 0.20/0.37
% 0.20/0.37 % (28783)Memory used [KB]: 1023
% 0.20/0.37 % (28783)Time elapsed: 0.003 s
% 0.20/0.37 % (28783)Instructions burned: 3 (million)
% 0.20/0.37 % (28783)------------------------------
% 0.20/0.37 % (28783)------------------------------
% 0.20/0.37 % (28785)First to succeed.
% 0.20/0.37 % (28781)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)
% 0.20/0.37 % (28779)Also succeeded, but the first one will report.
% 0.20/0.37 % (28785)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% 0.20/0.37 thf(func_def_0, type, irel: $i > $i > $o).
% 0.20/0.37 thf(func_def_2, type, mnot: ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_3, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_4, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_5, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_6, type, mbox_s4: ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_7, type, iatom: ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_8, type, inot: ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_9, type, itrue: $i > $o).
% 0.20/0.37 thf(func_def_10, type, ifalse: $i > $o).
% 0.20/0.37 thf(func_def_11, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_12, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_13, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_14, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_15, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_16, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.37 thf(func_def_17, type, ivalid: ($i > $o) > $o).
% 0.20/0.37 thf(func_def_18, type, isatisfiable: ($i > $o) > $o).
% 0.20/0.37 thf(func_def_19, type, icountersatisfiable: ($i > $o) > $o).
% 0.20/0.37 thf(func_def_20, type, iinvalid: ($i > $o) > $o).
% 0.20/0.37 thf(func_def_21, type, o11: $i > $o).
% 0.20/0.37 thf(func_def_22, type, o21: $i > $o).
% 0.20/0.37 thf(f131,plain,(
% 0.20/0.37 $false),
% 0.20/0.37 inference(trivial_inequality_removal,[],[f130])).
% 0.20/0.37 thf(f130,plain,(
% 0.20/0.37 ($true = $false)),
% 0.20/0.37 inference(superposition,[],[f126,f119])).
% 0.20/0.37 thf(f119,plain,(
% 0.20/0.37 ((o11 @ sK2) = $false)),
% 0.20/0.37 inference(binary_proxy_clausification,[],[f118])).
% 0.20/0.37 thf(f118,plain,(
% 0.20/0.37 (((irel @ sK1 @ sK2) => (o11 @ sK2)) = $false)),
% 0.20/0.37 inference(beta_eta_normalization,[],[f117])).
% 0.20/0.37 thf(f117,plain,(
% 0.20/0.37 ($false = ((^[Y0 : $i]: ((irel @ sK1 @ Y0) => (o11 @ Y0))) @ sK2))),
% 0.20/0.37 inference(sigma_clausification,[],[f116])).
% 0.20/0.37 thf(f116,plain,(
% 0.20/0.37 ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (o11 @ Y0)))))),
% 0.20/0.37 inference(binary_proxy_clausification,[],[f114])).
% 0.20/0.37 thf(f114,plain,(
% 0.20/0.37 ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (o11 @ Y0)))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (o21 @ Y0))))))),
% 0.20/0.37 inference(beta_eta_normalization,[],[f113])).
% 0.20/0.37 thf(f113,plain,(
% 0.20/0.37 (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o11 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o21 @ Y1)))))) @ sK1) = $false)),
% 0.20/0.37 inference(sigma_clausification,[],[f112])).
% 0.20/0.37 thf(f112,plain,(
% 0.20/0.37 ($true != (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o11 @ Y1)))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (o21 @ Y1))))))))),
% 0.20/0.37 inference(beta_eta_normalization,[],[f109])).
% 0.20/0.37 thf(f109,plain,(
% 0.20/0.37 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ o11) @ ((^[Y0 : $i > $o]: (Y0)) @ o21))))),
% 0.20/0.37 inference(definition_unfolding,[],[f78,f93,f104,f91,f91])).
% 0.20/0.37 thf(f91,plain,(
% 0.20/0.37 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.20/0.37 inference(cnf_transformation,[],[f44])).
% 0.20/0.37 thf(f44,plain,(
% 0.20/0.37 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.20/0.37 inference(fool_elimination,[],[f43])).
% 0.20/0.37 thf(f43,plain,(
% 0.20/0.37 ((^[X0 : $i > $o] : (X0)) = iatom)),
% 0.20/0.37 inference(rectify,[],[f8])).
% 0.20/0.37 thf(f8,axiom,(
% 0.20/0.37 ((^[X5 : $i > $o] : (X5)) = iatom)),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iatom)).
% 0.20/0.37 thf(f104,plain,(
% 0.20/0.37 (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))))),
% 0.20/0.37 inference(definition_unfolding,[],[f96,f82,f92,f92])).
% 0.20/0.37 thf(f92,plain,(
% 0.20/0.37 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.20/0.37 inference(cnf_transformation,[],[f40])).
% 0.20/0.37 thf(f40,plain,(
% 0.20/0.37 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.20/0.37 inference(fool_elimination,[],[f39])).
% 0.20/0.37 thf(f39,plain,(
% 0.20/0.37 (mbox_s4 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : ((irel @ X1 @ X2) => (X0 @ X2)))))),
% 0.20/0.37 inference(rectify,[],[f7])).
% 0.20/0.37 thf(f7,axiom,(
% 0.20/0.37 (mbox_s4 = (^[X5 : $i > $o, X0 : $i] : (! [X1] : ((irel @ X0 @ X1) => (X5 @ X1)))))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 0.20/0.37 thf(f82,plain,(
% 0.20/0.37 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.20/0.37 inference(cnf_transformation,[],[f68])).
% 0.20/0.37 thf(f68,plain,(
% 0.20/0.37 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.20/0.37 inference(fool_elimination,[],[f67])).
% 0.20/0.37 thf(f67,plain,(
% 0.20/0.37 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.20/0.37 inference(rectify,[],[f4])).
% 0.20/0.37 thf(f4,axiom,(
% 0.20/0.37 (mor = (^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X1 @ X3) | (X0 @ X3))))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.20/0.37 thf(f96,plain,(
% 0.20/0.37 (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.20/0.37 inference(cnf_transformation,[],[f34])).
% 0.20/0.37 thf(f34,plain,(
% 0.20/0.37 (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.20/0.37 inference(fool_elimination,[],[f33])).
% 0.20/0.37 thf(f33,plain,(
% 0.20/0.37 (ior = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mbox_s4 @ X0) @ (mbox_s4 @ X1))))),
% 0.20/0.37 inference(rectify,[],[f13])).
% 0.20/0.37 thf(f13,axiom,(
% 0.20/0.37 (ior = (^[X5 : $i > $o, X7 : $i > $o] : (mor @ (mbox_s4 @ X5) @ (mbox_s4 @ X7))))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ior)).
% 0.20/0.37 thf(f93,plain,(
% 0.20/0.37 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.20/0.37 inference(cnf_transformation,[],[f66])).
% 0.20/0.37 thf(f66,plain,(
% 0.20/0.37 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.20/0.37 inference(fool_elimination,[],[f65])).
% 0.20/0.37 thf(f65,plain,(
% 0.20/0.37 (ivalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.20/0.37 inference(rectify,[],[f18])).
% 0.20/0.37 thf(f18,axiom,(
% 0.20/0.37 (ivalid = (^[X8 : $i > $o] : (! [X6] : (X8 @ X6))))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ivalid)).
% 0.20/0.37 thf(f78,plain,(
% 0.20/0.37 ((ivalid @ (ior @ (iatom @ o11) @ (iatom @ o21))) != $true)),
% 0.20/0.37 inference(cnf_transformation,[],[f73])).
% 0.20/0.37 thf(f73,plain,(
% 0.20/0.37 ((ivalid @ (ior @ (iatom @ o11) @ (iatom @ o21))) != $true)),
% 0.20/0.37 inference(flattening,[],[f56])).
% 0.20/0.37 thf(f56,plain,(
% 0.20/0.37 ~((ivalid @ (ior @ (iatom @ o11) @ (iatom @ o21))) = $true)),
% 0.20/0.37 inference(fool_elimination,[],[f55])).
% 0.20/0.37 thf(f55,plain,(
% 0.20/0.37 ~(ivalid @ (ior @ (iatom @ o11) @ (iatom @ o21)))),
% 0.20/0.37 inference(rectify,[],[f25])).
% 0.20/0.37 thf(f25,negated_conjecture,(
% 0.20/0.37 ~(ivalid @ (ior @ (iatom @ o11) @ (iatom @ o21)))),
% 0.20/0.37 inference(negated_conjecture,[],[f24])).
% 0.20/0.37 thf(f24,conjecture,(
% 0.20/0.37 (ivalid @ (ior @ (iatom @ o11) @ (iatom @ o21)))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.20/0.37 thf(f126,plain,(
% 0.20/0.37 ( ! [X1 : $i] : (($true = (o11 @ X1))) )),
% 0.20/0.37 inference(pi_clausification,[],[f125])).
% 0.20/0.37 thf(f125,plain,(
% 0.20/0.37 ($true = (!! @ $i @ o11))),
% 0.20/0.37 inference(beta_eta_normalization,[],[f110])).
% 0.20/0.37 thf(f110,plain,(
% 0.20/0.37 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ o11)) = $true)),
% 0.20/0.37 inference(definition_unfolding,[],[f86,f93,f91])).
% 0.20/0.37 thf(f86,plain,(
% 0.20/0.37 ((ivalid @ (iatom @ o11)) = $true)),
% 0.20/0.37 inference(cnf_transformation,[],[f62])).
% 0.20/0.37 thf(f62,plain,(
% 0.20/0.37 ((ivalid @ (iatom @ o11)) = $true)),
% 0.20/0.37 inference(fool_elimination,[],[f61])).
% 0.20/0.37 thf(f61,plain,(
% 0.20/0.37 (ivalid @ (iatom @ o11))),
% 0.20/0.37 inference(rectify,[],[f22])).
% 0.20/0.37 thf(f22,axiom,(
% 0.20/0.37 (ivalid @ (iatom @ o11))),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1)).
% 0.20/0.37 % SZS output end Proof for theBenchmark
% 0.20/0.37 % (28785)------------------------------
% 0.20/0.37 % (28785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (28785)Termination reason: Refutation
% 0.20/0.37
% 0.20/0.37 % (28785)Memory used [KB]: 5628
% 0.20/0.37 % (28785)Time elapsed: 0.006 s
% 0.20/0.37 % (28785)Instructions burned: 6 (million)
% 0.20/0.37 % (28785)------------------------------
% 0.20/0.37 % (28785)------------------------------
% 0.20/0.37 % (28778)Success in time 0.005 s
% 0.20/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------