TSTP Solution File: SEU465^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU465^1 : 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 : n020.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 03:49:01 EDT 2024
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU465^1 : TPTP v8.2.0. Released v3.6.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 15:45:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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
% 0.15/0.40 % (5910)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)
% 0.15/0.40 % (5913)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)
% 0.15/0.40 % (5911)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)
% 0.15/0.40 % (5912)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40 % (5914)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)
% 0.15/0.40 % (5915)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.40 % (5909)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.40 % (5916)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)
% 0.15/0.40 % (5912)Instruction limit reached!
% 0.15/0.40 % (5912)------------------------------
% 0.15/0.40 % (5912)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (5912)Termination reason: Unknown
% 0.15/0.40 % (5912)Termination phase: shuffling
% 0.15/0.40 % (5913)Instruction limit reached!
% 0.15/0.40 % (5913)------------------------------
% 0.15/0.40 % (5913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (5913)Termination reason: Unknown
% 0.15/0.40 % (5913)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (5913)Memory used [KB]: 1023
% 0.15/0.40 % (5913)Time elapsed: 0.005 s
% 0.15/0.40 % (5913)Instructions burned: 3 (million)
% 0.15/0.40 % (5913)------------------------------
% 0.15/0.40 % (5913)------------------------------
% 0.15/0.40
% 0.15/0.40 % (5912)Memory used [KB]: 1023
% 0.15/0.40 % (5912)Time elapsed: 0.004 s
% 0.15/0.40 % (5912)Instructions burned: 2 (million)
% 0.15/0.40 % (5912)------------------------------
% 0.15/0.40 % (5912)------------------------------
% 0.15/0.40 % (5916)Instruction limit reached!
% 0.15/0.40 % (5916)------------------------------
% 0.15/0.40 % (5916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (5916)Termination reason: Unknown
% 0.15/0.40 % (5910)Instruction limit reached!
% 0.15/0.40 % (5910)------------------------------
% 0.15/0.40 % (5910)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (5910)Termination reason: Unknown
% 0.15/0.40 % (5910)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (5910)Memory used [KB]: 1023
% 0.15/0.40 % (5910)Time elapsed: 0.007 s
% 0.15/0.40 % (5910)Instructions burned: 4 (million)
% 0.15/0.40 % (5910)------------------------------
% 0.15/0.40 % (5910)------------------------------
% 0.15/0.40 % (5916)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (5916)Memory used [KB]: 1023
% 0.15/0.40 % (5916)Time elapsed: 0.005 s
% 0.15/0.40 % (5916)Instructions burned: 4 (million)
% 0.15/0.40 % (5916)------------------------------
% 0.15/0.40 % (5916)------------------------------
% 0.22/0.41 % (5914)First to succeed.
% 0.22/0.41 % (5915)Instruction limit reached!
% 0.22/0.41 % (5915)------------------------------
% 0.22/0.41 % (5915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (5915)Termination reason: Unknown
% 0.22/0.41 % (5915)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (5915)Memory used [KB]: 5628
% 0.22/0.41 % (5915)Time elapsed: 0.020 s
% 0.22/0.41 % (5915)Instructions burned: 18 (million)
% 0.22/0.41 % (5915)------------------------------
% 0.22/0.41 % (5915)------------------------------
% 0.22/0.42 % (5909)Also succeeded, but the first one will report.
% 0.22/0.42 % (5914)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for theBenchmark
% 0.22/0.42 % SZS output start Proof for theBenchmark
% 0.22/0.42 thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.42 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_6, type, refl: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.42 thf(func_def_9, type, symm: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.42 thf(func_def_13, type, trans: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.42 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.42 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.42 thf(func_def_17, type, po: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_18, type, so: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_19, type, total: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_20, type, term: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_21, type, ind: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
% 0.22/0.42 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.42 thf(func_def_24, type, norm: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.42 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_28, type, confl: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_29, type, cr: ($i > $i > $o) > $o).
% 0.22/0.42 thf(func_def_44, type, sK0: $i > $i > $o).
% 0.22/0.42 thf(func_def_47, type, sK3: $i > $i > $o).
% 0.22/0.42 thf(f247,plain,(
% 0.22/0.42 $false),
% 0.22/0.42 inference(avatar_sat_refutation,[],[f152,f157,f162,f167,f168,f169,f170,f229,f246])).
% 0.22/0.42 thf(f246,plain,(
% 0.22/0.42 ~spl4_1 | ~spl4_4),
% 0.22/0.42 inference(avatar_contradiction_clause,[],[f245])).
% 0.22/0.42 thf(f245,plain,(
% 0.22/0.42 $false | (~spl4_1 | ~spl4_4)),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f242])).
% 0.22/0.42 thf(f242,plain,(
% 0.22/0.42 ($false = $true) | (~spl4_1 | ~spl4_4)),
% 0.22/0.42 inference(superposition,[],[f156,f240])).
% 0.22/0.42 thf(f240,plain,(
% 0.22/0.42 ($false = (sK3 @ sK5 @ sK6)) | ~spl4_1),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f234])).
% 0.22/0.42 thf(f234,plain,(
% 0.22/0.42 ($false = $true) | ($false = (sK3 @ sK5 @ sK6)) | ~spl4_1),
% 0.22/0.42 inference(superposition,[],[f143,f118])).
% 0.22/0.42 thf(f118,plain,(
% 0.22/0.42 ( ! [X2 : $i,X1 : $i] : (($true = (sK0 @ X1 @ X2)) | ($false = (sK3 @ X1 @ X2))) )),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f117])).
% 0.22/0.42 thf(f117,plain,(
% 0.22/0.42 ( ! [X2 : $i,X1 : $i] : (($true = ((sK3 @ X1 @ X2) => (sK0 @ X1 @ X2)))) )),
% 0.22/0.42 inference(beta_eta_normalization,[],[f116])).
% 0.22/0.42 thf(f116,plain,(
% 0.22/0.42 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((sK3 @ X1 @ Y0) => (sK0 @ X1 @ Y0))) @ X2))) )),
% 0.22/0.42 inference(pi_clausification,[],[f115])).
% 0.22/0.42 thf(f115,plain,(
% 0.22/0.42 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ X1 @ Y0) => (sK0 @ X1 @ Y0)))))) )),
% 0.22/0.42 inference(beta_eta_normalization,[],[f114])).
% 0.22/0.42 thf(f114,plain,(
% 0.22/0.42 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK0 @ Y0 @ Y1))))) @ X1) = $true)) )),
% 0.22/0.42 inference(pi_clausification,[],[f113])).
% 0.22/0.42 thf(f113,plain,(
% 0.22/0.42 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK0 @ Y0 @ Y1)))))))),
% 0.22/0.42 inference(beta_eta_normalization,[],[f103])).
% 0.22/0.42 thf(f103,plain,(
% 0.22/0.42 ($true = ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))) @ sK3 @ sK0))),
% 0.22/0.42 inference(definition_unfolding,[],[f97,f95])).
% 0.22/0.42 thf(f95,plain,(
% 0.22/0.42 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
% 0.22/0.42 inference(cnf_transformation,[],[f88])).
% 0.22/0.42 thf(f88,plain,(
% 0.22/0.42 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
% 0.22/0.42 inference(fool_elimination,[],[f87])).
% 0.22/0.42 thf(f87,plain,(
% 0.22/0.42 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X3 @ X2) => (X1 @ X3 @ X2)))))),
% 0.22/0.42 inference(rectify,[],[f1])).
% 0.22/0.42 thf(f1,axiom,(
% 0.22/0.42 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X3,X2] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))),
% 0.22/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subrel)).
% 0.22/0.42 thf(f97,plain,(
% 0.22/0.42 ($true = (subrel @ sK3 @ sK0))),
% 0.22/0.42 inference(cnf_transformation,[],[f94])).
% 0.22/0.42 thf(f94,plain,(
% 0.22/0.42 ((sK0 @ sK2 @ sK1) != $true) & (($true != (trans @ sK0)) | ($true != (subrel @ sK3 @ sK0)) | ((sK0 @ sK2 @ sK1) = $true)) & ($true = (trans @ sK0)) & ($true = (subrel @ sK3 @ sK0))),
% 0.22/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f92,f93])).
% 0.22/0.42 thf(f93,plain,(
% 0.22/0.42 ? [X0 : $i > $i > $o,X1,X2,X3 : $i > $i > $o] : (((X0 @ X2 @ X1) != $true) & (((trans @ X0) != $true) | ($true != (subrel @ X3 @ X0)) | ((X0 @ X2 @ X1) = $true)) & ((trans @ X0) = $true) & ($true = (subrel @ X3 @ X0))) => (((sK0 @ sK2 @ sK1) != $true) & (($true != (trans @ sK0)) | ($true != (subrel @ sK3 @ sK0)) | ((sK0 @ sK2 @ sK1) = $true)) & ($true = (trans @ sK0)) & ($true = (subrel @ sK3 @ sK0)))),
% 0.22/0.42 introduced(choice_axiom,[])).
% 0.22/0.42 thf(f92,plain,(
% 0.22/0.42 ? [X0 : $i > $i > $o,X1,X2,X3 : $i > $i > $o] : (((X0 @ X2 @ X1) != $true) & (((trans @ X0) != $true) | ($true != (subrel @ X3 @ X0)) | ((X0 @ X2 @ X1) = $true)) & ((trans @ X0) = $true) & ($true = (subrel @ X3 @ X0)))),
% 0.22/0.42 inference(flattening,[],[f91])).
% 0.22/0.42 thf(f91,plain,(
% 0.22/0.42 ? [X0 : $i > $i > $o,X1,X2,X3 : $i > $i > $o] : (((X0 @ X2 @ X1) != $true) & (((trans @ X0) = $true) & (((X0 @ X2 @ X1) = $true) | (((trans @ X0) != $true) | ($true != (subrel @ X3 @ X0)))) & ($true = (subrel @ X3 @ X0))))),
% 0.22/0.42 inference(ennf_transformation,[],[f48])).
% 0.22/0.42 thf(f48,plain,(
% 0.22/0.42 ~! [X0 : $i > $i > $o,X1,X2,X3 : $i > $i > $o] : ((((trans @ X0) = $true) & ((((trans @ X0) = $true) & ($true = (subrel @ X3 @ X0))) => ((X0 @ X2 @ X1) = $true)) & ($true = (subrel @ X3 @ X0))) => ((X0 @ X2 @ X1) = $true))),
% 0.22/0.42 inference(fool_elimination,[],[f47])).
% 0.22/0.42 thf(f47,plain,(
% 0.22/0.42 ~! [X0 : $i > $i > $o,X1,X2,X3 : $i > $i > $o] : (((trans @ X0) & (subrel @ X3 @ X0) & (((trans @ X0) & (subrel @ X3 @ X0)) => (X0 @ X2 @ X1))) => (X0 @ X2 @ X1))),
% 0.22/0.42 inference(rectify,[],[f31])).
% 0.22/0.42 thf(f31,negated_conjecture,(
% 0.22/0.42 ~! [X1 : $i > $i > $o,X3,X2,X0 : $i > $i > $o] : (((trans @ X1) & (subrel @ X0 @ X1) & (((trans @ X1) & (subrel @ X0 @ X1)) => (X1 @ X2 @ X3))) => (X1 @ X2 @ X3))),
% 0.22/0.42 inference(negated_conjecture,[],[f30])).
% 0.22/0.42 thf(f30,conjecture,(
% 0.22/0.42 ! [X1 : $i > $i > $o,X3,X2,X0 : $i > $i > $o] : (((trans @ X1) & (subrel @ X0 @ X1) & (((trans @ X1) & (subrel @ X0 @ X1)) => (X1 @ X2 @ X3))) => (X1 @ X2 @ X3))),
% 0.22/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_closure_is_transitive5)).
% 0.22/0.42 thf(f143,plain,(
% 0.22/0.42 ($false = (sK0 @ sK5 @ sK6)) | ~spl4_1),
% 0.22/0.42 inference(avatar_component_clause,[],[f141])).
% 0.22/0.42 thf(f141,plain,(
% 0.22/0.42 spl4_1 <=> ($false = (sK0 @ sK5 @ sK6))),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
% 0.22/0.42 thf(f156,plain,(
% 0.22/0.42 ($true = (sK3 @ sK5 @ sK6)) | ~spl4_4),
% 0.22/0.42 inference(avatar_component_clause,[],[f154])).
% 0.22/0.42 thf(f154,plain,(
% 0.22/0.42 spl4_4 <=> ($true = (sK3 @ sK5 @ sK6))),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
% 0.22/0.42 thf(f229,plain,(
% 0.22/0.42 ~spl4_3 | ~spl4_5 | ~spl4_6),
% 0.22/0.42 inference(avatar_contradiction_clause,[],[f228])).
% 0.22/0.42 thf(f228,plain,(
% 0.22/0.42 $false | (~spl4_3 | ~spl4_5 | ~spl4_6)),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f218])).
% 0.22/0.42 thf(f218,plain,(
% 0.22/0.42 ($false = $true) | (~spl4_3 | ~spl4_5 | ~spl4_6)),
% 0.22/0.42 inference(superposition,[],[f217,f166])).
% 0.22/0.42 thf(f166,plain,(
% 0.22/0.42 ((sK0 @ sK8 @ sK9) = $true) | ~spl4_6),
% 0.22/0.42 inference(avatar_component_clause,[],[f164])).
% 0.22/0.42 thf(f164,plain,(
% 0.22/0.42 spl4_6 <=> ((sK0 @ sK8 @ sK9) = $true)),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl4_6])])).
% 0.22/0.42 thf(f217,plain,(
% 0.22/0.42 ($false = (sK0 @ sK8 @ sK9)) | (~spl4_3 | ~spl4_5)),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f206])).
% 0.22/0.42 thf(f206,plain,(
% 0.22/0.42 ($false = $true) | ($false = (sK0 @ sK8 @ sK9)) | (~spl4_3 | ~spl4_5)),
% 0.22/0.42 inference(superposition,[],[f184,f161])).
% 0.22/0.42 thf(f161,plain,(
% 0.22/0.42 ($true = (sK0 @ sK7 @ sK8)) | ~spl4_5),
% 0.22/0.42 inference(avatar_component_clause,[],[f159])).
% 0.22/0.42 thf(f159,plain,(
% 0.22/0.42 spl4_5 <=> ($true = (sK0 @ sK7 @ sK8))),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl4_5])])).
% 0.22/0.42 thf(f184,plain,(
% 0.22/0.42 ( ! [X0 : $i] : (($false = (sK0 @ sK7 @ X0)) | ($false = (sK0 @ X0 @ sK9))) ) | ~spl4_3),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f177])).
% 0.22/0.42 thf(f177,plain,(
% 0.22/0.42 ( ! [X0 : $i] : (($false = (sK0 @ sK7 @ X0)) | ($false = (sK0 @ X0 @ sK9)) | ($false = $true)) ) | ~spl4_3),
% 0.22/0.42 inference(superposition,[],[f112,f151])).
% 0.22/0.42 thf(f151,plain,(
% 0.22/0.42 ($false = (sK0 @ sK7 @ sK9)) | ~spl4_3),
% 0.22/0.42 inference(avatar_component_clause,[],[f149])).
% 0.22/0.42 thf(f149,plain,(
% 0.22/0.42 spl4_3 <=> ($false = (sK0 @ sK7 @ sK9))),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl4_3])])).
% 0.22/0.42 thf(f112,plain,(
% 0.22/0.42 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (sK0 @ X1 @ X3)) | ($false = (sK0 @ X2 @ X3)) | ($false = (sK0 @ X1 @ X2))) )),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f111])).
% 0.22/0.42 thf(f111,plain,(
% 0.22/0.42 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((sK0 @ X2 @ X3) & (sK0 @ X1 @ X2))) | ($true = (sK0 @ X1 @ X3))) )),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f110])).
% 0.22/0.42 thf(f110,plain,(
% 0.22/0.42 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((sK0 @ X2 @ X3) & (sK0 @ X1 @ X2)) => (sK0 @ X1 @ X3)))) )),
% 0.22/0.42 inference(beta_eta_normalization,[],[f109])).
% 0.22/0.42 thf(f109,plain,(
% 0.22/0.42 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((sK0 @ X2 @ Y0) & (sK0 @ X1 @ X2)) => (sK0 @ X1 @ Y0))) @ X3))) )),
% 0.22/0.42 inference(pi_clausification,[],[f108])).
% 0.22/0.42 thf(f108,plain,(
% 0.22/0.42 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X2 @ Y0) & (sK0 @ X1 @ X2)) => (sK0 @ X1 @ Y0)))) = $true)) )),
% 0.22/0.42 inference(beta_eta_normalization,[],[f107])).
% 0.22/0.42 thf(f107,plain,(
% 0.22/0.42 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ X1 @ Y0)) => (sK0 @ X1 @ Y1))))) @ X2))) )),
% 0.22/0.42 inference(pi_clausification,[],[f106])).
% 0.22/0.42 thf(f106,plain,(
% 0.22/0.42 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ X1 @ Y0)) => (sK0 @ X1 @ Y1)))))))) )),
% 0.22/0.42 inference(beta_eta_normalization,[],[f105])).
% 0.22/0.42 thf(f105,plain,(
% 0.22/0.42 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y0 @ Y2))))))) @ X1))) )),
% 0.22/0.42 inference(pi_clausification,[],[f104])).
% 0.22/0.42 thf(f104,plain,(
% 0.22/0.42 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y0 @ Y2)))))))))),
% 0.22/0.42 inference(beta_eta_normalization,[],[f102])).
% 0.22/0.42 thf(f102,plain,(
% 0.22/0.42 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))) @ sK0))),
% 0.22/0.42 inference(definition_unfolding,[],[f98,f96])).
% 0.22/0.42 thf(f96,plain,(
% 0.22/0.42 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))))),
% 0.22/0.42 inference(cnf_transformation,[],[f34])).
% 0.22/0.42 thf(f34,plain,(
% 0.22/0.42 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))))),
% 0.22/0.42 inference(fool_elimination,[],[f33])).
% 0.22/0.42 thf(f33,plain,(
% 0.22/0.42 ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X3 @ X2) & (X0 @ X2 @ X1)) => (X0 @ X3 @ X1)))) = trans)),
% 0.22/0.42 inference(rectify,[],[f13])).
% 0.22/0.42 thf(f13,axiom,(
% 0.22/0.42 ((^[X0 : $i > $i > $o] : (! [X5,X3,X2] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X5)) => (X0 @ X2 @ X5)))) = trans)),
% 0.22/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive)).
% 0.22/0.42 thf(f98,plain,(
% 0.22/0.42 ($true = (trans @ sK0))),
% 0.22/0.42 inference(cnf_transformation,[],[f94])).
% 0.22/0.42 thf(f170,plain,(
% 0.22/0.42 ~spl4_2),
% 0.22/0.42 inference(avatar_split_clause,[],[f100,f145])).
% 0.22/0.42 thf(f145,plain,(
% 0.22/0.42 spl4_2 <=> ((sK0 @ sK2 @ sK1) = $true)),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
% 0.22/0.42 thf(f100,plain,(
% 0.22/0.42 ((sK0 @ sK2 @ sK1) != $true)),
% 0.22/0.42 inference(cnf_transformation,[],[f94])).
% 0.22/0.42 thf(f169,plain,(
% 0.22/0.42 spl4_6 | spl4_4 | spl4_2),
% 0.22/0.42 inference(avatar_split_clause,[],[f135,f145,f154,f164])).
% 0.22/0.42 thf(f135,plain,(
% 0.22/0.42 ($true = (sK3 @ sK5 @ sK6)) | ((sK0 @ sK2 @ sK1) = $true) | ((sK0 @ sK8 @ sK9) = $true)),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f133])).
% 0.22/0.42 thf(f133,plain,(
% 0.22/0.42 ($true = ((sK0 @ sK8 @ sK9) & (sK0 @ sK7 @ sK8))) | ((sK0 @ sK2 @ sK1) = $true) | ($true = (sK3 @ sK5 @ sK6))),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f131])).
% 0.22/0.42 thf(f131,plain,(
% 0.22/0.42 ($false = ((sK3 @ sK5 @ sK6) => (sK0 @ sK5 @ sK6))) | ((sK0 @ sK2 @ sK1) = $true) | ($true = ((sK0 @ sK8 @ sK9) & (sK0 @ sK7 @ sK8)))),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f129])).
% 0.22/0.42 thf(f129,plain,(
% 0.22/0.42 ($false = (((sK0 @ sK8 @ sK9) & (sK0 @ sK7 @ sK8)) => (sK0 @ sK7 @ sK9))) | ((sK0 @ sK2 @ sK1) = $true) | ($false = ((sK3 @ sK5 @ sK6) => (sK0 @ sK5 @ sK6)))),
% 0.22/0.42 inference(beta_eta_normalization,[],[f128])).
% 0.22/0.42 thf(f128,plain,(
% 0.22/0.42 ($false = ((^[Y0 : $i]: (((sK0 @ sK8 @ Y0) & (sK0 @ sK7 @ sK8)) => (sK0 @ sK7 @ Y0))) @ sK9)) | ((sK0 @ sK2 @ sK1) = $true) | ($false = ((sK3 @ sK5 @ sK6) => (sK0 @ sK5 @ sK6)))),
% 0.22/0.42 inference(sigma_clausification,[],[f127])).
% 0.22/0.42 thf(f127,plain,(
% 0.22/0.42 ($false = (!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK8 @ Y0) & (sK0 @ sK7 @ sK8)) => (sK0 @ sK7 @ Y0))))) | ($false = ((sK3 @ sK5 @ sK6) => (sK0 @ sK5 @ sK6))) | ((sK0 @ sK2 @ sK1) = $true)),
% 0.22/0.42 inference(beta_eta_normalization,[],[f126])).
% 0.22/0.42 thf(f126,plain,(
% 0.22/0.42 ($false = ((sK3 @ sK5 @ sK6) => (sK0 @ sK5 @ sK6))) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ sK7 @ Y0)) => (sK0 @ sK7 @ Y1))))) @ sK8) = $false) | ((sK0 @ sK2 @ sK1) = $true)),
% 0.22/0.42 inference(sigma_clausification,[],[f125])).
% 0.22/0.42 thf(f125,plain,(
% 0.22/0.42 ((sK0 @ sK2 @ sK1) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ sK7 @ Y0)) => (sK0 @ sK7 @ Y1))))))) | ($false = ((sK3 @ sK5 @ sK6) => (sK0 @ sK5 @ sK6)))),
% 0.22/0.42 inference(beta_eta_normalization,[],[f124])).
% 0.22/0.42 thf(f124,plain,(
% 0.22/0.42 ((sK0 @ sK2 @ sK1) = $true) | ($false = ((sK3 @ sK5 @ sK6) => (sK0 @ sK5 @ sK6))) | ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y0 @ Y2))))))) @ sK7))),
% 0.22/0.42 inference(sigma_clausification,[],[f123])).
% 0.22/0.42 thf(f123,plain,(
% 0.22/0.42 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y0 @ Y2))))))))) | ((sK0 @ sK2 @ sK1) = $true) | ($false = ((sK3 @ sK5 @ sK6) => (sK0 @ sK5 @ sK6)))),
% 0.22/0.42 inference(beta_eta_normalization,[],[f122])).
% 0.22/0.42 thf(f122,plain,(
% 0.22/0.42 ((sK0 @ sK2 @ sK1) = $true) | ($false = ((^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (sK0 @ sK5 @ Y0))) @ sK6)) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y0 @ Y2)))))))))),
% 0.22/0.42 inference(sigma_clausification,[],[f121])).
% 0.22/0.42 thf(f121,plain,(
% 0.22/0.42 ((sK0 @ sK2 @ sK1) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK5 @ Y0) => (sK0 @ sK5 @ Y0))))) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y0 @ Y2)))))))))),
% 0.22/0.42 inference(beta_eta_normalization,[],[f120])).
% 0.22/0.42 thf(f120,plain,(
% 0.22/0.42 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y0 @ Y2))))))))) | ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK0 @ Y0 @ Y1))))) @ sK5)) | ((sK0 @ sK2 @ sK1) = $true)),
% 0.22/0.42 inference(sigma_clausification,[],[f119])).
% 0.22/0.42 thf(f119,plain,(
% 0.22/0.42 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK0 @ Y0 @ Y1))))))) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y0 @ Y2))))))))) | ((sK0 @ sK2 @ sK1) = $true)),
% 0.22/0.42 inference(beta_eta_normalization,[],[f101])).
% 0.22/0.42 thf(f101,plain,(
% 0.22/0.42 ($true != ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))) @ sK3 @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))) @ sK0)) | ((sK0 @ sK2 @ sK1) = $true)),
% 0.22/0.42 inference(definition_unfolding,[],[f99,f96,f95])).
% 0.22/0.42 thf(f99,plain,(
% 0.22/0.42 ($true != (trans @ sK0)) | ($true != (subrel @ sK3 @ sK0)) | ((sK0 @ sK2 @ sK1) = $true)),
% 0.22/0.42 inference(cnf_transformation,[],[f94])).
% 0.22/0.42 thf(f168,plain,(
% 0.22/0.42 spl4_5 | spl4_2 | spl4_4),
% 0.22/0.42 inference(avatar_split_clause,[],[f134,f154,f145,f159])).
% 0.22/0.42 thf(f134,plain,(
% 0.22/0.42 ($true = (sK0 @ sK7 @ sK8)) | ((sK0 @ sK2 @ sK1) = $true) | ($true = (sK3 @ sK5 @ sK6))),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f133])).
% 0.22/0.42 thf(f167,plain,(
% 0.22/0.42 spl4_1 | spl4_2 | spl4_6),
% 0.22/0.42 inference(avatar_split_clause,[],[f137,f164,f145,f141])).
% 0.22/0.42 thf(f137,plain,(
% 0.22/0.42 ((sK0 @ sK2 @ sK1) = $true) | ($false = (sK0 @ sK5 @ sK6)) | ((sK0 @ sK8 @ sK9) = $true)),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f132])).
% 0.22/0.42 thf(f132,plain,(
% 0.22/0.42 ($false = (sK0 @ sK5 @ sK6)) | ((sK0 @ sK2 @ sK1) = $true) | ($true = ((sK0 @ sK8 @ sK9) & (sK0 @ sK7 @ sK8)))),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f131])).
% 0.22/0.42 thf(f162,plain,(
% 0.22/0.42 spl4_1 | spl4_2 | spl4_5),
% 0.22/0.42 inference(avatar_split_clause,[],[f136,f159,f145,f141])).
% 0.22/0.42 thf(f136,plain,(
% 0.22/0.42 ((sK0 @ sK2 @ sK1) = $true) | ($true = (sK0 @ sK7 @ sK8)) | ($false = (sK0 @ sK5 @ sK6))),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f132])).
% 0.22/0.42 thf(f157,plain,(
% 0.22/0.42 spl4_4 | spl4_3 | spl4_2),
% 0.22/0.42 inference(avatar_split_clause,[],[f139,f145,f149,f154])).
% 0.22/0.42 thf(f139,plain,(
% 0.22/0.42 ((sK0 @ sK2 @ sK1) = $true) | ($false = (sK0 @ sK7 @ sK9)) | ($true = (sK3 @ sK5 @ sK6))),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f130])).
% 0.22/0.42 thf(f130,plain,(
% 0.22/0.42 ((sK0 @ sK2 @ sK1) = $true) | ($false = ((sK3 @ sK5 @ sK6) => (sK0 @ sK5 @ sK6))) | ($false = (sK0 @ sK7 @ sK9))),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f129])).
% 0.22/0.42 thf(f152,plain,(
% 0.22/0.42 spl4_1 | spl4_2 | spl4_3),
% 0.22/0.42 inference(avatar_split_clause,[],[f138,f149,f145,f141])).
% 0.22/0.42 thf(f138,plain,(
% 0.22/0.42 ((sK0 @ sK2 @ sK1) = $true) | ($false = (sK0 @ sK5 @ sK6)) | ($false = (sK0 @ sK7 @ sK9))),
% 0.22/0.42 inference(binary_proxy_clausification,[],[f130])).
% 0.22/0.42 % SZS output end Proof for theBenchmark
% 0.22/0.42 % (5914)------------------------------
% 0.22/0.42 % (5914)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (5914)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (5914)Memory used [KB]: 5756
% 0.22/0.42 % (5914)Time elapsed: 0.025 s
% 0.22/0.42 % (5914)Instructions burned: 16 (million)
% 0.22/0.42 % (5914)------------------------------
% 0.22/0.42 % (5914)------------------------------
% 0.22/0.42 % (5908)Success in time 0.048 s
% 0.22/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------