TSTP Solution File: SEU493^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU493^1 : 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 03:49:08 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU493^1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n013.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 : Sun May 19 18:15:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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
% 0.14/0.37 % (23808)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (23809)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)
% 0.14/0.37 % (23808)Instruction limit reached!
% 0.14/0.37 % (23808)------------------------------
% 0.14/0.37 % (23808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (23808)Termination reason: Unknown
% 0.14/0.37 % (23808)Termination phase: shuffling
% 0.14/0.37 % (23809)Instruction limit reached!
% 0.14/0.37 % (23809)------------------------------
% 0.14/0.37 % (23809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (23809)Termination reason: Unknown
% 0.14/0.37 % (23809)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (23809)Memory used [KB]: 1023
% 0.14/0.37 % (23809)Time elapsed: 0.003 s
% 0.14/0.37 % (23809)Instructions burned: 2 (million)
% 0.14/0.37 % (23809)------------------------------
% 0.14/0.37 % (23809)------------------------------
% 0.14/0.37
% 0.14/0.37 % (23808)Memory used [KB]: 1023
% 0.14/0.37 % (23810)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)
% 0.14/0.37 % (23808)Time elapsed: 0.003 s
% 0.14/0.37 % (23808)Instructions burned: 2 (million)
% 0.14/0.37 % (23808)------------------------------
% 0.14/0.37 % (23808)------------------------------
% 0.14/0.37 % (23806)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)
% 0.14/0.38 % (23806)Instruction limit reached!
% 0.14/0.38 % (23806)------------------------------
% 0.14/0.38 % (23806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (23806)Termination reason: Unknown
% 0.14/0.38 % (23806)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (23806)Memory used [KB]: 1023
% 0.14/0.38 % (23806)Time elapsed: 0.004 s
% 0.14/0.38 % (23806)Instructions burned: 4 (million)
% 0.14/0.38 % (23806)------------------------------
% 0.14/0.38 % (23806)------------------------------
% 0.14/0.38 % (23805)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (23812)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)
% 0.14/0.38 % (23812)Instruction limit reached!
% 0.14/0.38 % (23812)------------------------------
% 0.14/0.38 % (23812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (23812)Termination reason: Unknown
% 0.14/0.38 % (23812)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (23812)Memory used [KB]: 1023
% 0.14/0.38 % (23812)Time elapsed: 0.004 s
% 0.14/0.38 % (23812)Instructions burned: 4 (million)
% 0.14/0.38 % (23812)------------------------------
% 0.14/0.38 % (23812)------------------------------
% 0.14/0.38 % (23811)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (23807)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)
% 0.14/0.39 % (23813)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)
% 0.14/0.39 % (23814)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)
% 0.14/0.39 % (23805)First to succeed.
% 0.14/0.39 % (23815)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)
% 0.14/0.39 % (23815)Instruction limit reached!
% 0.14/0.39 % (23815)------------------------------
% 0.14/0.39 % (23815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (23815)Termination reason: Unknown
% 0.14/0.39 % (23815)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (23815)Memory used [KB]: 1023
% 0.14/0.39 % (23815)Time elapsed: 0.004 s
% 0.14/0.39 % (23815)Instructions burned: 4 (million)
% 0.14/0.39 % (23815)------------------------------
% 0.14/0.39 % (23815)------------------------------
% 0.14/0.39 % (23811)Instruction limit reached!
% 0.14/0.39 % (23811)------------------------------
% 0.14/0.39 % (23811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (23811)Termination reason: Unknown
% 0.14/0.39 % (23811)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (23811)Memory used [KB]: 5628
% 0.14/0.39 % (23811)Time elapsed: 0.013 s
% 0.14/0.39 % (23811)Instructions burned: 18 (million)
% 0.14/0.39 % (23811)------------------------------
% 0.14/0.39 % (23811)------------------------------
% 0.14/0.39 % (23805)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% 0.14/0.39 thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_6, type, refl: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_9, type, symm: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_13, type, trans: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_17, type, po: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_18, type, so: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_19, type, total: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_20, type, term: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_21, type, ind: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_24, type, norm: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
% 0.14/0.39 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_28, type, confl: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_29, type, cr: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_44, type, sK0: $i > $i > $o).
% 0.14/0.39 thf(f320,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(avatar_sat_refutation,[],[f208,f213,f218,f223,f224,f225,f230,f231,f232,f258,f309,f318])).
% 0.14/0.39 thf(f318,plain,(
% 0.14/0.39 ~spl1_1),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f317])).
% 0.14/0.39 thf(f317,plain,(
% 0.14/0.39 $false | ~spl1_1),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f313])).
% 0.14/0.39 thf(f313,plain,(
% 0.14/0.39 ($true = $false) | ~spl1_1),
% 0.14/0.39 inference(superposition,[],[f148,f199])).
% 0.14/0.39 thf(f199,plain,(
% 0.14/0.39 ((sK0 @ sK4 @ sK4) = $false) | ~spl1_1),
% 0.14/0.39 inference(avatar_component_clause,[],[f197])).
% 0.14/0.39 thf(f197,plain,(
% 0.14/0.39 spl1_1 <=> ((sK0 @ sK4 @ sK4) = $false)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.14/0.39 thf(f148,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (($true = (sK0 @ X1 @ X1))) )),
% 0.14/0.39 inference(beta_eta_normalization,[],[f147])).
% 0.14/0.39 thf(f147,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (sK0 @ Y0 @ Y0)) @ X1))) )),
% 0.14/0.39 inference(pi_clausification,[],[f146])).
% 0.14/0.39 thf(f146,plain,(
% 0.14/0.39 ($true = (!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))))),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f144])).
% 0.14/0.39 thf(f144,plain,(
% 0.14/0.39 ($true = ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y0)) => (Y1 = Y0))))))))),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f142])).
% 0.14/0.39 thf(f142,plain,(
% 0.14/0.39 ($true = (((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y0)) => (Y1 = Y0))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y2 @ Y1))))))))))),
% 0.14/0.40 inference(beta_eta_normalization,[],[f140])).
% 0.14/0.40 thf(f140,plain,(
% 0.14/0.40 ($true = ((^[Y0 : $i > $i > $o]: ((((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2 @ Y2)))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y3 @ Y2)) => (Y3 = Y2))))))) @ Y0)) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y4 @ Y3))))))))) @ Y0))) @ sK0))),
% 0.14/0.40 inference(definition_unfolding,[],[f124,f130])).
% 0.14/0.40 thf(f130,plain,(
% 0.14/0.40 (po = (^[Y0 : $i > $i > $o]: ((((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2 @ Y2)))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y3 @ Y2)) => (Y3 = Y2))))))) @ Y0)) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y4 @ Y3))))))))) @ Y0))))),
% 0.14/0.40 inference(definition_unfolding,[],[f106,f108,f117,f104])).
% 0.14/0.40 thf(f104,plain,(
% 0.14/0.40 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2))))))))))),
% 0.14/0.40 inference(cnf_transformation,[],[f42])).
% 0.14/0.40 thf(f42,plain,(
% 0.14/0.40 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y3 @ Y1)) => (Y0 @ Y3 @ Y2))))))))))),
% 0.14/0.40 inference(fool_elimination,[],[f41])).
% 0.14/0.40 thf(f41,plain,(
% 0.14/0.40 ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X1 @ X3) & (X0 @ X3 @ X2)) => (X0 @ X1 @ X2)))) = trans)),
% 0.14/0.40 inference(rectify,[],[f13])).
% 0.14/0.40 thf(f13,axiom,(
% 0.14/0.40 ((^[X0 : $i > $i > $o] : (! [X2,X5,X3] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X5)) => (X0 @ X2 @ X5)))) = trans)),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive)).
% 0.14/0.40 thf(f117,plain,(
% 0.14/0.40 (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y2 = Y1))))))))),
% 0.14/0.40 inference(cnf_transformation,[],[f51])).
% 0.14/0.40 thf(f51,plain,(
% 0.14/0.40 (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y1)) => (Y2 = Y1))))))))),
% 0.14/0.40 inference(fool_elimination,[],[f50])).
% 0.14/0.40 thf(f50,plain,(
% 0.14/0.40 ((^[X0 : $i > $i > $o] : (! [X1,X2] : (((X0 @ X1 @ X2) & (X0 @ X2 @ X1)) => (X1 = X2)))) = antisymm)),
% 0.14/0.40 inference(rectify,[],[f10])).
% 0.14/0.40 thf(f10,axiom,(
% 0.14/0.40 ((^[X0 : $i > $i > $o] : (! [X2,X3] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X2)) => (X2 = X3)))) = antisymm)),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetric)).
% 0.14/0.40 thf(f108,plain,(
% 0.14/0.40 (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.14/0.40 inference(cnf_transformation,[],[f45])).
% 0.14/0.40 thf(f45,plain,(
% 0.14/0.40 (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.14/0.40 inference(fool_elimination,[],[f44])).
% 0.14/0.40 thf(f44,plain,(
% 0.14/0.40 ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = refl)),
% 0.14/0.40 inference(rectify,[],[f6])).
% 0.14/0.40 thf(f6,axiom,(
% 0.14/0.40 ((^[X0 : $i > $i > $o] : (! [X2] : (X0 @ X2 @ X2))) = refl)),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexive)).
% 0.14/0.40 thf(f106,plain,(
% 0.14/0.40 (po = (^[Y0 : $i > $i > $o]: (((refl @ Y0) & (antisymm @ Y0)) & (trans @ Y0))))),
% 0.14/0.40 inference(cnf_transformation,[],[f65])).
% 0.14/0.40 thf(f65,plain,(
% 0.14/0.40 (po = (^[Y0 : $i > $i > $o]: (((refl @ Y0) & (antisymm @ Y0)) & (trans @ Y0))))),
% 0.14/0.40 inference(fool_elimination,[],[f64])).
% 0.14/0.40 thf(f64,plain,(
% 0.14/0.40 (po = (^[X0 : $i > $i > $o] : ((trans @ X0) & (antisymm @ X0) & (refl @ X0))))),
% 0.14/0.40 inference(rectify,[],[f17])).
% 0.14/0.40 thf(f17,axiom,(
% 0.14/0.40 (po = (^[X0 : $i > $i > $o] : ((trans @ X0) & (antisymm @ X0) & (refl @ X0))))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partial_order)).
% 0.14/0.40 thf(f124,plain,(
% 0.14/0.40 ($true = (po @ sK0))),
% 0.14/0.40 inference(cnf_transformation,[],[f93])).
% 0.14/0.40 thf(f93,plain,(
% 0.14/0.40 ($true = (po @ sK0)) & ($true != (po @ (inv @ sK0)))),
% 0.14/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f91,f92])).
% 0.14/0.40 thf(f92,plain,(
% 0.14/0.40 ? [X0 : $i > $i > $o] : (((po @ X0) = $true) & ((po @ (inv @ X0)) != $true)) => (($true = (po @ sK0)) & ($true != (po @ (inv @ sK0))))),
% 0.14/0.40 introduced(choice_axiom,[])).
% 0.14/0.40 thf(f91,plain,(
% 0.14/0.40 ? [X0 : $i > $i > $o] : (((po @ X0) = $true) & ((po @ (inv @ X0)) != $true))),
% 0.14/0.40 inference(ennf_transformation,[],[f61])).
% 0.14/0.40 thf(f61,plain,(
% 0.14/0.40 ~! [X0 : $i > $i > $o] : (((po @ X0) = $true) => ((po @ (inv @ X0)) = $true))),
% 0.14/0.40 inference(fool_elimination,[],[f60])).
% 0.14/0.40 thf(f60,plain,(
% 0.14/0.40 ~! [X0 : $i > $i > $o] : ((po @ X0) => (po @ (inv @ X0)))),
% 0.14/0.40 inference(rectify,[],[f31])).
% 0.14/0.40 thf(f31,negated_conjecture,(
% 0.14/0.40 ~! [X0 : $i > $i > $o] : ((po @ X0) => (po @ (inv @ X0)))),
% 0.14/0.40 inference(negated_conjecture,[],[f30])).
% 0.14/0.40 thf(f30,conjecture,(
% 0.14/0.40 ! [X0 : $i > $i > $o] : ((po @ X0) => (po @ (inv @ X0)))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_of_partial_order_is_partial_order)).
% 0.14/0.40 thf(f309,plain,(
% 0.14/0.40 spl1_3 | ~spl1_6 | ~spl1_7),
% 0.14/0.40 inference(avatar_contradiction_clause,[],[f308])).
% 0.14/0.40 thf(f308,plain,(
% 0.14/0.40 $false | (spl1_3 | ~spl1_6 | ~spl1_7)),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f300])).
% 0.14/0.40 thf(f300,plain,(
% 0.14/0.40 ($true = $false) | (spl1_3 | ~spl1_6 | ~spl1_7)),
% 0.14/0.40 inference(superposition,[],[f290,f229])).
% 0.14/0.40 thf(f229,plain,(
% 0.14/0.40 ($true = (sK0 @ sK6 @ sK5)) | ~spl1_7),
% 0.14/0.40 inference(avatar_component_clause,[],[f227])).
% 0.14/0.40 thf(f227,plain,(
% 0.14/0.40 spl1_7 <=> ($true = (sK0 @ sK6 @ sK5))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
% 0.14/0.40 thf(f290,plain,(
% 0.14/0.40 ((sK0 @ sK6 @ sK5) = $false) | (spl1_3 | ~spl1_6)),
% 0.14/0.40 inference(subsumption_resolution,[],[f289,f207])).
% 0.14/0.40 thf(f207,plain,(
% 0.14/0.40 (sK6 != sK5) | spl1_3),
% 0.14/0.40 inference(avatar_component_clause,[],[f205])).
% 0.14/0.40 thf(f205,plain,(
% 0.14/0.40 spl1_3 <=> (sK6 = sK5)),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.14/0.40 thf(f289,plain,(
% 0.14/0.40 (sK6 = sK5) | ((sK0 @ sK6 @ sK5) = $false) | ~spl1_6),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f287])).
% 0.14/0.40 thf(f287,plain,(
% 0.14/0.40 ((sK0 @ sK6 @ sK5) = $false) | (sK6 = sK5) | ($true = $false) | ~spl1_6),
% 0.14/0.40 inference(superposition,[],[f155,f222])).
% 0.14/0.40 thf(f222,plain,(
% 0.14/0.40 ($true = (sK0 @ sK5 @ sK6)) | ~spl1_6),
% 0.14/0.40 inference(avatar_component_clause,[],[f220])).
% 0.14/0.40 thf(f220,plain,(
% 0.14/0.40 spl1_6 <=> ($true = (sK0 @ sK5 @ sK6))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
% 0.14/0.40 thf(f155,plain,(
% 0.14/0.40 ( ! [X2 : $i,X1 : $i] : (((sK0 @ X2 @ X1) = $false) | (X1 = X2) | ((sK0 @ X1 @ X2) = $false)) )),
% 0.14/0.40 inference(equality_proxy_clausification,[],[f154])).
% 0.14/0.40 thf(f154,plain,(
% 0.14/0.40 ( ! [X2 : $i,X1 : $i] : (($true = (X2 = X1)) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X1 @ X2) = $false)) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f153])).
% 0.14/0.40 thf(f153,plain,(
% 0.14/0.40 ( ! [X2 : $i,X1 : $i] : ((((sK0 @ X1 @ X2) & (sK0 @ X2 @ X1)) = $false) | ($true = (X2 = X1))) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f152])).
% 0.14/0.40 thf(f152,plain,(
% 0.14/0.40 ( ! [X2 : $i,X1 : $i] : (($true = (((sK0 @ X1 @ X2) & (sK0 @ X2 @ X1)) => (X2 = X1)))) )),
% 0.14/0.40 inference(beta_eta_normalization,[],[f151])).
% 0.14/0.40 thf(f151,plain,(
% 0.14/0.40 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((sK0 @ X1 @ Y0) & (sK0 @ Y0 @ X1)) => (Y0 = X1))) @ X2))) )),
% 0.14/0.40 inference(pi_clausification,[],[f150])).
% 0.14/0.40 thf(f150,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((sK0 @ X1 @ Y0) & (sK0 @ Y0 @ X1)) => (Y0 = X1)))))) )),
% 0.14/0.40 inference(beta_eta_normalization,[],[f149])).
% 0.14/0.40 thf(f149,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y0)) => (Y1 = Y0))))) @ X1))) )),
% 0.14/0.40 inference(pi_clausification,[],[f145])).
% 0.14/0.40 thf(f145,plain,(
% 0.14/0.40 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y0)) => (Y1 = Y0)))))))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f144])).
% 0.14/0.40 thf(f258,plain,(
% 0.14/0.40 ~spl1_2 | ~spl1_4 | ~spl1_5),
% 0.14/0.40 inference(avatar_contradiction_clause,[],[f257])).
% 0.14/0.40 thf(f257,plain,(
% 0.14/0.40 $false | (~spl1_2 | ~spl1_4 | ~spl1_5)),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f253])).
% 0.14/0.40 thf(f253,plain,(
% 0.14/0.40 ($true = $false) | (~spl1_2 | ~spl1_4 | ~spl1_5)),
% 0.14/0.40 inference(superposition,[],[f212,f249])).
% 0.14/0.40 thf(f249,plain,(
% 0.14/0.40 ((sK0 @ sK2 @ sK7) = $false) | (~spl1_2 | ~spl1_5)),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f242])).
% 0.14/0.40 thf(f242,plain,(
% 0.14/0.40 ((sK0 @ sK2 @ sK7) = $false) | ($true = $false) | (~spl1_2 | ~spl1_5)),
% 0.14/0.40 inference(superposition,[],[f217,f238])).
% 0.14/0.40 thf(f238,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (((sK0 @ sK3 @ X0) = $false) | ((sK0 @ X0 @ sK7) = $false)) ) | ~spl1_2),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f235])).
% 0.14/0.40 thf(f235,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($true = $false) | ((sK0 @ X0 @ sK7) = $false) | ((sK0 @ sK3 @ X0) = $false)) ) | ~spl1_2),
% 0.14/0.40 inference(superposition,[],[f203,f163])).
% 0.14/0.40 thf(f163,plain,(
% 0.14/0.40 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (sK0 @ X3 @ X2)) | ($false = (sK0 @ X3 @ X1)) | ((sK0 @ X1 @ X2) = $false)) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f162])).
% 0.14/0.40 thf(f162,plain,(
% 0.14/0.40 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (sK0 @ X3 @ X2)) | (((sK0 @ X1 @ X2) & (sK0 @ X3 @ X1)) = $false)) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f161])).
% 0.14/0.40 thf(f161,plain,(
% 0.14/0.40 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((sK0 @ X1 @ X2) & (sK0 @ X3 @ X1)) => (sK0 @ X3 @ X2)))) )),
% 0.14/0.40 inference(beta_eta_normalization,[],[f160])).
% 0.14/0.40 thf(f160,plain,(
% 0.14/0.40 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((sK0 @ X1 @ X2) & (sK0 @ Y0 @ X1)) => (sK0 @ Y0 @ X2))) @ X3))) )),
% 0.14/0.40 inference(pi_clausification,[],[f159])).
% 0.14/0.40 thf(f159,plain,(
% 0.14/0.40 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((sK0 @ X1 @ X2) & (sK0 @ Y0 @ X1)) => (sK0 @ Y0 @ X2)))))) )),
% 0.14/0.40 inference(beta_eta_normalization,[],[f158])).
% 0.14/0.40 thf(f158,plain,(
% 0.14/0.40 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ X1 @ Y0) & (sK0 @ Y1 @ X1)) => (sK0 @ Y1 @ Y0))))) @ X2))) )),
% 0.14/0.40 inference(pi_clausification,[],[f157])).
% 0.14/0.40 thf(f157,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ X1 @ Y0) & (sK0 @ Y1 @ X1)) => (sK0 @ Y1 @ Y0)))))))) )),
% 0.14/0.40 inference(beta_eta_normalization,[],[f156])).
% 0.14/0.40 thf(f156,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y2 @ Y1))))))) @ X1))) )),
% 0.14/0.40 inference(pi_clausification,[],[f143])).
% 0.14/0.40 thf(f143,plain,(
% 0.14/0.40 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y2 @ Y1)))))))))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f142])).
% 0.14/0.40 thf(f203,plain,(
% 0.14/0.40 ((sK0 @ sK3 @ sK7) = $false) | ~spl1_2),
% 0.14/0.40 inference(avatar_component_clause,[],[f201])).
% 0.14/0.40 thf(f201,plain,(
% 0.14/0.40 spl1_2 <=> ((sK0 @ sK3 @ sK7) = $false)),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.14/0.40 thf(f217,plain,(
% 0.14/0.40 ($true = (sK0 @ sK3 @ sK2)) | ~spl1_5),
% 0.14/0.40 inference(avatar_component_clause,[],[f215])).
% 0.14/0.40 thf(f215,plain,(
% 0.14/0.40 spl1_5 <=> ($true = (sK0 @ sK3 @ sK2))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
% 0.14/0.40 thf(f212,plain,(
% 0.14/0.40 ($true = (sK0 @ sK2 @ sK7)) | ~spl1_4),
% 0.14/0.40 inference(avatar_component_clause,[],[f210])).
% 0.14/0.40 thf(f210,plain,(
% 0.14/0.40 spl1_4 <=> ($true = (sK0 @ sK2 @ sK7))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
% 0.14/0.40 thf(f232,plain,(
% 0.14/0.40 spl1_1 | spl1_7 | spl1_5),
% 0.14/0.40 inference(avatar_split_clause,[],[f186,f215,f227,f197])).
% 0.14/0.40 thf(f186,plain,(
% 0.14/0.40 ((sK0 @ sK4 @ sK4) = $false) | ($true = (sK0 @ sK3 @ sK2)) | ($true = (sK0 @ sK6 @ sK5))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f184])).
% 0.14/0.40 thf(f184,plain,(
% 0.14/0.40 ((sK0 @ sK4 @ sK4) = $false) | ($true = (sK0 @ sK6 @ sK5)) | ($true = ((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ sK7)))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f182])).
% 0.14/0.40 thf(f182,plain,(
% 0.14/0.40 ($true = (sK0 @ sK6 @ sK5)) | ((sK0 @ sK4 @ sK4) = $false) | ((((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ sK7)) => (sK0 @ sK3 @ sK7)) = $false)),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f180])).
% 0.14/0.40 thf(f180,plain,(
% 0.14/0.40 ($true = ((sK0 @ sK6 @ sK5) & (sK0 @ sK5 @ sK6))) | ((sK0 @ sK4 @ sK4) = $false) | ((((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ sK7)) => (sK0 @ sK3 @ sK7)) = $false)),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f178])).
% 0.14/0.40 thf(f178,plain,(
% 0.14/0.40 ($false = (((sK0 @ sK6 @ sK5) & (sK0 @ sK5 @ sK6)) => (sK6 = sK5))) | ((((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ sK7)) => (sK0 @ sK3 @ sK7)) = $false) | ((sK0 @ sK4 @ sK4) = $false)),
% 0.14/0.40 inference(beta_eta_normalization,[],[f177])).
% 0.14/0.40 thf(f177,plain,(
% 0.14/0.40 ($false = (((sK0 @ sK6 @ sK5) & (sK0 @ sK5 @ sK6)) => (sK6 = sK5))) | ((sK0 @ sK4 @ sK4) = $false) | (((^[Y0 : $i]: (((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ Y0)) => (sK0 @ sK3 @ Y0))) @ sK7) = $false)),
% 0.14/0.40 inference(sigma_clausification,[],[f176])).
% 0.14/0.40 thf(f176,plain,(
% 0.14/0.40 ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ Y0)) => (sK0 @ sK3 @ Y0)))) = $false) | ($false = (((sK0 @ sK6 @ sK5) & (sK0 @ sK5 @ sK6)) => (sK6 = sK5))) | ((sK0 @ sK4 @ sK4) = $false)),
% 0.14/0.40 inference(beta_eta_normalization,[],[f175])).
% 0.14/0.40 thf(f175,plain,(
% 0.14/0.40 ((sK0 @ sK4 @ sK4) = $false) | (((^[Y0 : $i]: (((sK0 @ Y0 @ sK5) & (sK0 @ sK5 @ Y0)) => (Y0 = sK5))) @ sK6) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ Y0)) => (sK0 @ sK3 @ Y0)))) = $false)),
% 0.14/0.40 inference(sigma_clausification,[],[f174])).
% 0.14/0.40 thf(f174,plain,(
% 0.14/0.40 ((sK0 @ sK4 @ sK4) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK5) & (sK0 @ sK5 @ Y0)) => (Y0 = sK5)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ Y0)) => (sK0 @ sK3 @ Y0)))) = $false)),
% 0.14/0.40 inference(beta_eta_normalization,[],[f173])).
% 0.14/0.40 thf(f173,plain,(
% 0.14/0.40 ((sK0 @ sK4 @ sK4) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ Y0)) => (sK0 @ sK3 @ Y0)))) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y1)) => (Y1 = Y0))))) @ sK5) = $false)),
% 0.14/0.40 inference(sigma_clausification,[],[f172])).
% 0.14/0.40 thf(f172,plain,(
% 0.14/0.40 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y1)) => (Y1 = Y0)))))) = $false) | ((sK0 @ sK4 @ sK4) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ Y0)) => (sK0 @ sK3 @ Y0)))) = $false)),
% 0.14/0.40 inference(beta_eta_normalization,[],[f171])).
% 0.14/0.40 thf(f171,plain,(
% 0.14/0.40 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y1)) => (Y1 = Y0)))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ Y0)) => (sK0 @ sK3 @ Y0)))) = $false) | (((^[Y0 : $i]: (sK0 @ Y0 @ Y0)) @ sK4) = $false)),
% 0.14/0.40 inference(sigma_clausification,[],[f170])).
% 0.14/0.40 thf(f170,plain,(
% 0.14/0.40 ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ Y0)) => (sK0 @ sK3 @ Y0)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y1)) => (Y1 = Y0)))))) = $false)),
% 0.14/0.40 inference(beta_eta_normalization,[],[f169])).
% 0.14/0.40 thf(f169,plain,(
% 0.14/0.40 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y1)) => (Y1 = Y0)))))) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK2) & (sK0 @ sK2 @ Y1)) => (sK0 @ Y0 @ Y1))))) @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) = $false)),
% 0.14/0.40 inference(sigma_clausification,[],[f168])).
% 0.14/0.40 thf(f168,plain,(
% 0.14/0.40 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK2) & (sK0 @ sK2 @ Y1)) => (sK0 @ Y0 @ Y1)))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y1)) => (Y1 = Y0)))))) = $false)),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f167])).
% 0.14/0.40 thf(f167,plain,(
% 0.14/0.40 ($false = ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y1)) => (Y1 = Y0)))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK2) & (sK0 @ sK2 @ Y1)) => (sK0 @ Y0 @ Y1)))))) = $false)),
% 0.14/0.40 inference(beta_eta_normalization,[],[f166])).
% 0.14/0.40 thf(f166,plain,(
% 0.14/0.40 ($false = ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y1)) => (Y1 = Y0)))))))) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y2)) => (sK0 @ Y1 @ Y2))))))) @ sK2) = $false)),
% 0.14/0.40 inference(sigma_clausification,[],[f165])).
% 0.14/0.40 thf(f165,plain,(
% 0.14/0.40 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y2)) => (sK0 @ Y1 @ Y2)))))))) = $false) | ($false = ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y1)) => (Y1 = Y0))))))))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f164])).
% 0.14/0.40 thf(f164,plain,(
% 0.14/0.40 ($true != (((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y1)) => (Y1 = Y0))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y0 @ Y2)) => (sK0 @ Y1 @ Y2))))))))))),
% 0.14/0.40 inference(beta_eta_normalization,[],[f141])).
% 0.14/0.40 thf(f141,plain,(
% 0.14/0.40 ($true != ((^[Y0 : $i > $i > $o]: ((((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2 @ Y2)))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y3 @ Y2)) => (Y3 = Y2))))))) @ Y0)) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y3) & (Y1 @ Y4 @ Y2)) => (Y1 @ Y4 @ Y3))))))))) @ Y0))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ sK0)))),
% 0.14/0.40 inference(definition_unfolding,[],[f123,f130,f107])).
% 0.14/0.40 thf(f107,plain,(
% 0.14/0.40 (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.14/0.40 inference(cnf_transformation,[],[f67])).
% 0.14/0.40 thf(f67,plain,(
% 0.14/0.40 (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.14/0.40 inference(fool_elimination,[],[f66])).
% 0.14/0.40 thf(f66,plain,(
% 0.14/0.40 ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (X0 @ X2 @ X1)) = inv)),
% 0.14/0.40 inference(rectify,[],[f2])).
% 0.14/0.40 thf(f2,axiom,(
% 0.14/0.40 ((^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : (X0 @ X3 @ X2)) = inv)),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse)).
% 0.14/0.40 thf(f123,plain,(
% 0.14/0.40 ($true != (po @ (inv @ sK0)))),
% 0.14/0.40 inference(cnf_transformation,[],[f93])).
% 0.14/0.40 thf(f231,plain,(
% 0.14/0.40 spl1_4 | spl1_1 | spl1_7),
% 0.14/0.40 inference(avatar_split_clause,[],[f185,f227,f197,f210])).
% 0.14/0.40 thf(f185,plain,(
% 0.14/0.40 ($true = (sK0 @ sK6 @ sK5)) | ((sK0 @ sK4 @ sK4) = $false) | ($true = (sK0 @ sK2 @ sK7))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f184])).
% 0.14/0.40 thf(f230,plain,(
% 0.14/0.40 spl1_2 | spl1_1 | spl1_7),
% 0.14/0.40 inference(avatar_split_clause,[],[f183,f227,f197,f201])).
% 0.14/0.40 thf(f183,plain,(
% 0.14/0.40 ($true = (sK0 @ sK6 @ sK5)) | ((sK0 @ sK4 @ sK4) = $false) | ((sK0 @ sK3 @ sK7) = $false)),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f182])).
% 0.14/0.40 thf(f225,plain,(
% 0.14/0.40 spl1_5 | spl1_6 | spl1_1),
% 0.14/0.40 inference(avatar_split_clause,[],[f190,f197,f220,f215])).
% 0.14/0.40 thf(f190,plain,(
% 0.14/0.40 ((sK0 @ sK4 @ sK4) = $false) | ($true = (sK0 @ sK3 @ sK2)) | ($true = (sK0 @ sK5 @ sK6))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f188])).
% 0.14/0.40 thf(f188,plain,(
% 0.14/0.40 ($true = (sK0 @ sK5 @ sK6)) | ($true = ((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ sK7))) | ((sK0 @ sK4 @ sK4) = $false)),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f181])).
% 0.14/0.40 thf(f181,plain,(
% 0.14/0.40 ($true = (sK0 @ sK5 @ sK6)) | ((sK0 @ sK4 @ sK4) = $false) | ((((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ sK7)) => (sK0 @ sK3 @ sK7)) = $false)),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f180])).
% 0.14/0.40 thf(f224,plain,(
% 0.14/0.40 spl1_1 | spl1_6 | spl1_4),
% 0.14/0.40 inference(avatar_split_clause,[],[f189,f210,f220,f197])).
% 0.14/0.40 thf(f189,plain,(
% 0.14/0.40 ($true = (sK0 @ sK2 @ sK7)) | ((sK0 @ sK4 @ sK4) = $false) | ($true = (sK0 @ sK5 @ sK6))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f188])).
% 0.14/0.40 thf(f223,plain,(
% 0.14/0.40 spl1_1 | spl1_6 | spl1_2),
% 0.14/0.40 inference(avatar_split_clause,[],[f187,f201,f220,f197])).
% 0.14/0.40 thf(f187,plain,(
% 0.14/0.40 ($true = (sK0 @ sK5 @ sK6)) | ((sK0 @ sK4 @ sK4) = $false) | ((sK0 @ sK3 @ sK7) = $false)),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f181])).
% 0.14/0.40 thf(f218,plain,(
% 0.14/0.40 ~spl1_3 | spl1_1 | spl1_5),
% 0.14/0.40 inference(avatar_split_clause,[],[f195,f215,f197,f205])).
% 0.14/0.40 thf(f195,plain,(
% 0.14/0.40 (sK6 != sK5) | ((sK0 @ sK4 @ sK4) = $false) | ($true = (sK0 @ sK3 @ sK2))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f193])).
% 0.14/0.40 thf(f193,plain,(
% 0.14/0.40 ($true = ((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ sK7))) | (sK6 != sK5) | ((sK0 @ sK4 @ sK4) = $false)),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f191])).
% 0.14/0.40 thf(f191,plain,(
% 0.14/0.40 (sK6 != sK5) | ((sK0 @ sK4 @ sK4) = $false) | ((((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ sK7)) => (sK0 @ sK3 @ sK7)) = $false)),
% 0.14/0.40 inference(equality_proxy_clausification,[],[f179])).
% 0.14/0.40 thf(f179,plain,(
% 0.14/0.40 ((sK0 @ sK4 @ sK4) = $false) | ((sK6 = sK5) = $false) | ((((sK0 @ sK3 @ sK2) & (sK0 @ sK2 @ sK7)) => (sK0 @ sK3 @ sK7)) = $false)),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f178])).
% 0.14/0.40 thf(f213,plain,(
% 0.14/0.40 spl1_1 | spl1_4 | ~spl1_3),
% 0.14/0.40 inference(avatar_split_clause,[],[f194,f205,f210,f197])).
% 0.14/0.40 thf(f194,plain,(
% 0.14/0.40 ((sK0 @ sK4 @ sK4) = $false) | (sK6 != sK5) | ($true = (sK0 @ sK2 @ sK7))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f193])).
% 0.14/0.40 thf(f208,plain,(
% 0.14/0.40 spl1_1 | spl1_2 | ~spl1_3),
% 0.14/0.40 inference(avatar_split_clause,[],[f192,f205,f201,f197])).
% 0.14/0.40 thf(f192,plain,(
% 0.14/0.40 ((sK0 @ sK4 @ sK4) = $false) | ((sK0 @ sK3 @ sK7) = $false) | (sK6 != sK5)),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f191])).
% 0.14/0.40 % SZS output end Proof for theBenchmark
% 0.14/0.40 % (23805)------------------------------
% 0.14/0.40 % (23805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (23805)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (23805)Memory used [KB]: 5756
% 0.14/0.40 % (23805)Time elapsed: 0.018 s
% 0.14/0.40 % (23805)Instructions burned: 21 (million)
% 0.14/0.40 % (23805)------------------------------
% 0.14/0.40 % (23805)------------------------------
% 0.14/0.40 % (23804)Success in time 0.045 s
% 0.14/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------