TSTP Solution File: SEU467^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU467^1 : 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 : n021.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 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU467^1 : TPTP v8.2.0. Released v3.6.0.
% 0.13/0.14 % 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 15:43:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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/benchmark/theBenchmark.p
% 0.13/0.37 % (1376)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (1378)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)
% 0.13/0.37 % (1379)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (1381)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)
% 0.13/0.37 % (1379)Instruction limit reached!
% 0.13/0.37 % (1379)------------------------------
% 0.13/0.37 % (1379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (1379)Termination reason: Unknown
% 0.13/0.37 % (1379)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (1379)Memory used [KB]: 1023
% 0.13/0.37 % (1379)Time elapsed: 0.003 s
% 0.13/0.37 % (1379)Instructions burned: 2 (million)
% 0.13/0.37 % (1379)------------------------------
% 0.13/0.37 % (1379)------------------------------
% 0.13/0.37 % (1381)First to succeed.
% 0.13/0.38 % (1380)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)
% 0.13/0.38 % (1381)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% 0.13/0.38 thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.38 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_6, type, refl: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.38 thf(func_def_9, type, symm: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.38 thf(func_def_13, type, trans: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.38 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.38 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.38 thf(func_def_17, type, po: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_18, type, so: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_19, type, total: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_20, type, term: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_21, type, ind: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.38 thf(func_def_24, type, norm: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
% 0.13/0.38 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_28, type, confl: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_29, type, cr: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_48, type, sK1: $i > $i > $o).
% 0.13/0.38 thf(func_def_51, type, sK4: $i > $i > $o).
% 0.13/0.38 thf(func_def_52, type, ph5: !>[X0: $tType]:(X0)).
% 0.13/0.38 thf(f125,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f123])).
% 0.13/0.38 thf(f123,plain,(
% 0.13/0.38 ($false = $true)),
% 0.13/0.38 inference(superposition,[],[f122,f107])).
% 0.13/0.38 thf(f107,plain,(
% 0.13/0.38 ((sK1 @ sK2 @ sK3) = $true)),
% 0.13/0.38 inference(binary_proxy_clausification,[],[f105])).
% 0.13/0.38 thf(f105,plain,(
% 0.13/0.38 (((sK1 @ sK2 @ sK3) => (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (trans @ Y0)) => (Y0 @ sK2 @ sK3))))) = $false)),
% 0.13/0.38 inference(beta_eta_normalization,[],[f104])).
% 0.13/0.38 thf(f104,plain,(
% 0.13/0.38 (((^[Y0 : $i]: ((sK1 @ sK2 @ Y0) => (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK1 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (trans @ Y1)) => (Y1 @ sK2 @ Y0)))))) @ sK3) = $false)),
% 0.13/0.38 inference(sigma_clausification,[],[f103])).
% 0.13/0.38 thf(f103,plain,(
% 0.13/0.38 ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ sK2 @ Y0) => (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK1 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (trans @ Y1)) => (Y1 @ sK2 @ Y0))))))) = $false)),
% 0.13/0.38 inference(beta_eta_normalization,[],[f102])).
% 0.13/0.38 thf(f102,plain,(
% 0.13/0.38 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK1 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (trans @ Y2)) => (Y2 @ Y0 @ Y1)))))))) @ sK2) = $false)),
% 0.13/0.38 inference(sigma_clausification,[],[f101])).
% 0.13/0.38 thf(f101,plain,(
% 0.13/0.38 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK1 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (trans @ Y2)) => (Y2 @ Y0 @ Y1))))))))))),
% 0.13/0.38 inference(beta_eta_normalization,[],[f100])).
% 0.13/0.38 thf(f100,plain,(
% 0.13/0.38 ($false = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (trans @ Y3)) => (Y3 @ Y1 @ Y2)))))))))) @ sK1))),
% 0.13/0.38 inference(sigma_clausification,[],[f99])).
% 0.13/0.38 thf(f99,plain,(
% 0.13/0.38 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))) != $true)),
% 0.13/0.38 inference(beta_eta_normalization,[],[f98])).
% 0.13/0.38 thf(f98,plain,(
% 0.13/0.38 ($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 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: ((((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y6 @ Y7))))))))) @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2)))))))))))),
% 0.13/0.38 inference(definition_unfolding,[],[f95,f97,f96])).
% 0.13/0.38 thf(f96,plain,(
% 0.13/0.38 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: ((((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y6 @ Y7))))))))) @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 0.13/0.38 inference(definition_unfolding,[],[f92,f93])).
% 0.13/0.38 thf(f93,plain,(
% 0.13/0.38 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
% 0.13/0.38 inference(cnf_transformation,[],[f62])).
% 0.13/0.38 thf(f62,plain,(
% 0.13/0.38 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
% 0.13/0.38 inference(fool_elimination,[],[f61])).
% 0.13/0.38 thf(f61,plain,(
% 0.13/0.38 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X3 @ X2) => (X1 @ X3 @ X2)))))),
% 0.13/0.38 inference(rectify,[],[f1])).
% 0.13/0.38 thf(f1,axiom,(
% 0.13/0.38 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X3,X2] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subrel)).
% 0.13/0.38 thf(f92,plain,(
% 0.13/0.38 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 0.13/0.38 inference(cnf_transformation,[],[f52])).
% 0.13/0.38 thf(f52,plain,(
% 0.13/0.38 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 0.13/0.38 inference(fool_elimination,[],[f51])).
% 0.13/0.38 thf(f51,plain,(
% 0.13/0.38 (tc = (^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (! [X3 : $i > $i > $o] : (((trans @ X3) & (subrel @ X0 @ X3)) => (X3 @ X1 @ X2)))))),
% 0.13/0.38 inference(rectify,[],[f14])).
% 0.13/0.38 thf(f14,axiom,(
% 0.13/0.38 (tc = (^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : (! [X1 : $i > $i > $o] : (((trans @ X1) & (subrel @ X0 @ X1)) => (X1 @ X2 @ X3)))))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive_closure)).
% 0.13/0.38 thf(f97,plain,(
% 0.13/0.38 (infl = (^[Y0 : ($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 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5))))))))) @ Y1 @ (Y0 @ Y1))))))),
% 0.13/0.38 inference(definition_unfolding,[],[f94,f93])).
% 0.13/0.38 thf(f94,plain,(
% 0.13/0.38 (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (subrel @ Y1 @ (Y0 @ Y1))))))),
% 0.13/0.38 inference(cnf_transformation,[],[f89])).
% 0.13/0.38 thf(f89,plain,(
% 0.13/0.38 (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (subrel @ Y1 @ (Y0 @ Y1))))))),
% 0.13/0.38 inference(fool_elimination,[],[f88])).
% 0.13/0.38 thf(f88,plain,(
% 0.13/0.38 ((^[X0 : ($i > $i > $o) > $i > $i > $o] : (! [X1 : $i > $i > $o] : (subrel @ X1 @ (X0 @ X1)))) = infl)),
% 0.13/0.38 inference(rectify,[],[f4])).
% 0.13/0.38 thf(f4,axiom,(
% 0.13/0.38 ((^[X4 : ($i > $i > $o) > $i > $i > $o] : (! [X0 : $i > $i > $o] : (subrel @ X0 @ (X4 @ X0)))) = infl)),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inflationary)).
% 0.13/0.38 thf(f95,plain,(
% 0.13/0.38 ((infl @ tc) != $true)),
% 0.13/0.38 inference(cnf_transformation,[],[f91])).
% 0.13/0.38 thf(f91,plain,(
% 0.13/0.38 ((infl @ tc) != $true)),
% 0.13/0.38 inference(flattening,[],[f42])).
% 0.13/0.38 thf(f42,plain,(
% 0.13/0.38 ~((infl @ tc) = $true)),
% 0.13/0.38 inference(fool_elimination,[],[f41])).
% 0.13/0.38 thf(f41,plain,(
% 0.13/0.38 ~(infl @ tc)),
% 0.13/0.38 inference(rectify,[],[f31])).
% 0.13/0.38 thf(f31,negated_conjecture,(
% 0.13/0.38 ~(infl @ tc)),
% 0.13/0.38 inference(negated_conjecture,[],[f30])).
% 0.13/0.38 thf(f30,conjecture,(
% 0.13/0.38 (infl @ tc)),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive_closure_op_is_inflationary)).
% 0.13/0.38 thf(f122,plain,(
% 0.13/0.38 ((sK1 @ sK2 @ sK3) = $false)),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f119])).
% 0.13/0.38 thf(f119,plain,(
% 0.13/0.38 ((sK1 @ sK2 @ sK3) = $false) | ($false = $true)),
% 0.13/0.38 inference(superposition,[],[f118,f110])).
% 0.13/0.38 thf(f110,plain,(
% 0.13/0.38 ($false = (sK4 @ sK2 @ sK3))),
% 0.13/0.38 inference(binary_proxy_clausification,[],[f109])).
% 0.13/0.38 thf(f109,plain,(
% 0.13/0.38 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK4 @ Y0 @ Y1)))))) & (trans @ sK4)) => (sK4 @ sK2 @ sK3)) = $false)),
% 0.13/0.38 inference(beta_eta_normalization,[],[f108])).
% 0.13/0.38 thf(f108,plain,(
% 0.13/0.38 ($false = ((^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (trans @ Y0)) => (Y0 @ sK2 @ sK3))) @ sK4))),
% 0.13/0.38 inference(sigma_clausification,[],[f106])).
% 0.13/0.38 thf(f106,plain,(
% 0.13/0.38 ($false = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (trans @ Y0)) => (Y0 @ sK2 @ sK3)))))),
% 0.13/0.38 inference(binary_proxy_clausification,[],[f105])).
% 0.13/0.38 thf(f118,plain,(
% 0.13/0.38 ( ! [X2 : $i,X1 : $i] : (((sK4 @ X1 @ X2) = $true) | ((sK1 @ X1 @ X2) = $false)) )),
% 0.13/0.38 inference(binary_proxy_clausification,[],[f117])).
% 0.13/0.38 thf(f117,plain,(
% 0.13/0.38 ( ! [X2 : $i,X1 : $i] : (($true = ((sK1 @ X1 @ X2) => (sK4 @ X1 @ X2)))) )),
% 0.13/0.38 inference(beta_eta_normalization,[],[f116])).
% 0.13/0.38 thf(f116,plain,(
% 0.13/0.38 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK4 @ X1 @ Y0))) @ X2) = $true)) )),
% 0.13/0.38 inference(pi_clausification,[],[f115])).
% 0.13/0.38 thf(f115,plain,(
% 0.13/0.38 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK4 @ X1 @ Y0)))) = $true)) )),
% 0.13/0.38 inference(beta_eta_normalization,[],[f114])).
% 0.13/0.38 thf(f114,plain,(
% 0.13/0.38 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK4 @ Y0 @ Y1))))) @ X1) = $true)) )),
% 0.13/0.38 inference(pi_clausification,[],[f113])).
% 0.13/0.38 thf(f113,plain,(
% 0.13/0.38 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK4 @ Y0 @ Y1)))))) = $true)),
% 0.13/0.38 inference(binary_proxy_clausification,[],[f111])).
% 0.13/0.38 thf(f111,plain,(
% 0.13/0.38 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK4 @ Y0 @ Y1)))))) & (trans @ sK4)))),
% 0.13/0.38 inference(binary_proxy_clausification,[],[f109])).
% 0.13/0.38 % SZS output end Proof for theBenchmark
% 0.13/0.38 % (1381)------------------------------
% 0.13/0.38 % (1381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (1381)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (1381)Memory used [KB]: 5628
% 0.13/0.38 % (1381)Time elapsed: 0.010 s
% 0.13/0.38 % (1381)Instructions burned: 9 (million)
% 0.13/0.38 % (1381)------------------------------
% 0.13/0.38 % (1381)------------------------------
% 0.13/0.38 % (1375)Success in time 0.012 s
% 0.13/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------