TSTP Solution File: PLA032^7 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PLA032^7 : TPTP v8.2.0. Released v5.5.0.
% 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 : n022.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 02:20:30 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PLA032^7 : TPTP v8.2.0. Released v5.5.0.
% 0.03/0.14 % 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 : n022.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
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 13:45:53 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
% 0.21/0.38 % (9828)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)
% 0.21/0.38 % (9829)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38 % (9826)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.38 % (9830)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)
% 0.21/0.38 % (9827)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)
% 0.21/0.38 % (9832)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.38 % (9831)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)
% 0.21/0.38 % (9833)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)
% 0.21/0.38 % (9830)Instruction limit reached!
% 0.21/0.38 % (9830)------------------------------
% 0.21/0.38 % (9830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (9830)Termination reason: Unknown
% 0.21/0.38 % (9830)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (9830)Memory used [KB]: 1023
% 0.21/0.38 % (9830)Time elapsed: 0.003 s
% 0.21/0.38 % (9830)Instructions burned: 2 (million)
% 0.21/0.38 % (9830)------------------------------
% 0.21/0.38 % (9830)------------------------------
% 0.21/0.38 % (9829)Instruction limit reached!
% 0.21/0.38 % (9829)------------------------------
% 0.21/0.38 % (9829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (9829)Termination reason: Unknown
% 0.21/0.38 % (9829)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (9829)Memory used [KB]: 1023
% 0.21/0.38 % (9829)Time elapsed: 0.004 s
% 0.21/0.38 % (9829)Instructions burned: 3 (million)
% 0.21/0.38 % (9829)------------------------------
% 0.21/0.38 % (9829)------------------------------
% 0.21/0.38 % (9833)Instruction limit reached!
% 0.21/0.38 % (9833)------------------------------
% 0.21/0.38 % (9833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (9833)Termination reason: Unknown
% 0.21/0.38 % (9833)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (9833)Memory used [KB]: 1023
% 0.21/0.38 % (9833)Time elapsed: 0.004 s
% 0.21/0.38 % (9833)Instructions burned: 3 (million)
% 0.21/0.38 % (9833)------------------------------
% 0.21/0.38 % (9833)------------------------------
% 0.21/0.38 % (9827)Instruction limit reached!
% 0.21/0.38 % (9827)------------------------------
% 0.21/0.38 % (9827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (9827)Termination reason: Unknown
% 0.21/0.38 % (9827)Termination phase: Property scanning
% 0.21/0.38
% 0.21/0.38 % (9827)Memory used [KB]: 1023
% 0.21/0.38 % (9827)Time elapsed: 0.004 s
% 0.21/0.38 % (9827)Instructions burned: 5 (million)
% 0.21/0.38 % (9827)------------------------------
% 0.21/0.38 % (9827)------------------------------
% 0.21/0.38 % (9831)Refutation not found, incomplete strategy
% 0.21/0.38 % (9831)------------------------------
% 0.21/0.38 % (9831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (9831)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38
% 0.21/0.38 % (9831)Memory used [KB]: 5628
% 0.21/0.38 % (9831)Time elapsed: 0.008 s
% 0.21/0.38 % (9831)Instructions burned: 8 (million)
% 0.21/0.38 % (9831)------------------------------
% 0.21/0.38 % (9831)------------------------------
% 0.21/0.39 % (9832)Instruction limit reached!
% 0.21/0.39 % (9832)------------------------------
% 0.21/0.39 % (9832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (9832)Termination reason: Unknown
% 0.21/0.39 % (9832)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (9832)Memory used [KB]: 5628
% 0.21/0.39 % (9832)Time elapsed: 0.012 s
% 0.21/0.39 % (9832)Instructions burned: 19 (million)
% 0.21/0.39 % (9832)------------------------------
% 0.21/0.39 % (9832)------------------------------
% 0.21/0.39 % (9828)Instruction limit reached!
% 0.21/0.39 % (9828)------------------------------
% 0.21/0.39 % (9828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (9828)Termination reason: Unknown
% 0.21/0.39 % (9828)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (9828)Memory used [KB]: 5756
% 0.21/0.39 % (9828)Time elapsed: 0.017 s
% 0.21/0.39 % (9828)Instructions burned: 27 (million)
% 0.21/0.39 % (9828)------------------------------
% 0.21/0.39 % (9828)------------------------------
% 0.21/0.39 % (9834)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)
% 0.21/0.40 % (9835)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)
% 0.21/0.40 % (9836)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)
% 0.21/0.40 % (9837)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.40 % (9836)Instruction limit reached!
% 0.21/0.40 % (9836)------------------------------
% 0.21/0.40 % (9836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (9836)Termination reason: Unknown
% 0.21/0.40 % (9836)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (9836)Memory used [KB]: 1023
% 0.21/0.40 % (9836)Time elapsed: 0.004 s
% 0.21/0.40 % (9836)Instructions burned: 4 (million)
% 0.21/0.40 % (9836)------------------------------
% 0.21/0.40 % (9836)------------------------------
% 0.21/0.40 % (9838)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.40 % (9835)Instruction limit reached!
% 0.21/0.40 % (9835)------------------------------
% 0.21/0.40 % (9835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (9835)Termination reason: Unknown
% 0.21/0.40 % (9835)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (9835)Memory used [KB]: 1151
% 0.21/0.40 % (9835)Time elapsed: 0.010 s
% 0.21/0.40 % (9835)Instructions burned: 16 (million)
% 0.21/0.40 % (9835)------------------------------
% 0.21/0.40 % (9835)------------------------------
% 0.21/0.40 % (9839)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40 % (9838)Instruction limit reached!
% 0.21/0.40 % (9838)------------------------------
% 0.21/0.40 % (9838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (9838)Termination reason: Unknown
% 0.21/0.40 % (9838)Termination phase: Preprocessing 3
% 0.21/0.40 % (9826)First to succeed.
% 0.21/0.40
% 0.21/0.40 % (9838)Memory used [KB]: 1023
% 0.21/0.40 % (9838)Time elapsed: 0.006 s
% 0.21/0.40 % (9838)Instructions burned: 7 (million)
% 0.21/0.40 % (9838)------------------------------
% 0.21/0.40 % (9838)------------------------------
% 0.21/0.41 % (9840)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (9840)Instruction limit reached!
% 0.21/0.41 % (9840)------------------------------
% 0.21/0.41 % (9840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (9840)Termination reason: Unknown
% 0.21/0.41 % (9840)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (9840)Memory used [KB]: 1023
% 0.21/0.41 % (9840)Time elapsed: 0.004 s
% 0.21/0.41 % (9840)Instructions burned: 4 (million)
% 0.21/0.41 % (9840)------------------------------
% 0.21/0.41 % (9840)------------------------------
% 0.21/0.41 % (9826)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% 0.21/0.41 thf(type_def_5, type, mu: $tType).
% 0.21/0.41 thf(func_def_0, type, mu: $tType).
% 0.21/0.41 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o).
% 0.21/0.41 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_8, type, mtrue: $i > $o).
% 0.21/0.41 thf(func_def_9, type, mfalse: $i > $o).
% 0.21/0.41 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_16, type, exists_in_world: mu > $i > $o).
% 0.21/0.41 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o).
% 0.21/0.41 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o).
% 0.21/0.41 thf(func_def_22, type, mserial: ($i > $i > $o) > $o).
% 0.21/0.41 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o).
% 0.21/0.41 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o).
% 0.21/0.41 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.21/0.41 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o).
% 0.21/0.41 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.21/0.41 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.21/0.41 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.21/0.41 thf(func_def_30, type, mvalid: ($i > $o) > $o).
% 0.21/0.41 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.21/0.41 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.21/0.41 thf(func_def_33, type, minvalid: ($i > $o) > $o).
% 0.21/0.41 thf(func_def_34, type, rel_s4: $i > $i > $o).
% 0.21/0.41 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_37, type, defused: mu > $i > $o).
% 0.21/0.41 thf(func_def_38, type, h: mu > $i > $o).
% 0.21/0.41 thf(func_def_39, type, bomb: mu > $i > $o).
% 0.21/0.41 thf(func_def_55, type, sK0: $i > mu).
% 0.21/0.41 thf(func_def_57, type, sK2: $i > mu).
% 0.21/0.41 thf(func_def_58, type, sK3: $i > mu).
% 0.21/0.41 thf(func_def_59, type, sK4: mu > $i > mu).
% 0.21/0.41 thf(func_def_62, type, sK7: mu).
% 0.21/0.41 thf(f467,plain,(
% 0.21/0.41 $false),
% 0.21/0.41 inference(avatar_sat_refutation,[],[f287,f292,f351,f366,f428,f445,f448,f456,f465])).
% 0.21/0.41 thf(f465,plain,(
% 0.21/0.41 ~spl1_8),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f464])).
% 0.21/0.41 thf(f464,plain,(
% 0.21/0.41 $false | ~spl1_8),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f459])).
% 0.21/0.41 thf(f459,plain,(
% 0.21/0.41 ($true = $false) | ~spl1_8),
% 0.21/0.41 inference(superposition,[],[f183,f349])).
% 0.21/0.41 thf(f349,plain,(
% 0.21/0.41 ((rel_s4 @ sK6 @ sK6) = $false) | ~spl1_8),
% 0.21/0.41 inference(avatar_component_clause,[],[f347])).
% 0.21/0.41 thf(f347,plain,(
% 0.21/0.41 spl1_8 <=> ((rel_s4 @ sK6 @ sK6) = $false)),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 0.21/0.41 thf(f183,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (((rel_s4 @ X1 @ X1) = $true)) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f182])).
% 0.21/0.41 thf(f182,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (rel_s4 @ Y0 @ Y0)) @ X1))) )),
% 0.21/0.41 inference(pi_clausification,[],[f181])).
% 0.21/0.41 thf(f181,plain,(
% 0.21/0.41 ((!! @ $i @ (^[Y0 : $i]: (rel_s4 @ Y0 @ Y0))) = $true)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f176])).
% 0.21/0.41 thf(f176,plain,(
% 0.21/0.41 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ rel_s4))),
% 0.21/0.41 inference(definition_unfolding,[],[f148,f130])).
% 0.21/0.41 thf(f130,plain,(
% 0.21/0.41 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.21/0.41 inference(cnf_transformation,[],[f109])).
% 0.21/0.41 thf(f109,plain,(
% 0.21/0.41 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.21/0.41 inference(fool_elimination,[],[f108])).
% 0.21/0.41 thf(f108,plain,(
% 0.21/0.41 ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = mreflexive)),
% 0.21/0.41 inference(rectify,[],[f18])).
% 0.21/0.41 thf(f18,axiom,(
% 0.21/0.41 ((^[X5 : $i > $i > $o] : (! [X8] : (X5 @ X8 @ X8))) = mreflexive)),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive)).
% 0.21/0.41 thf(f148,plain,(
% 0.21/0.41 ((mreflexive @ rel_s4) = $true)),
% 0.21/0.41 inference(cnf_transformation,[],[f44])).
% 0.21/0.41 thf(f44,plain,(
% 0.21/0.41 ((mreflexive @ rel_s4) = $true)),
% 0.21/0.41 inference(fool_elimination,[],[f43])).
% 0.21/0.41 thf(f43,plain,(
% 0.21/0.41 (mreflexive @ rel_s4)),
% 0.21/0.41 inference(rectify,[],[f34])).
% 0.21/0.41 thf(f34,axiom,(
% 0.21/0.41 (mreflexive @ rel_s4)),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1)).
% 0.21/0.41 thf(f456,plain,(
% 0.21/0.41 ~spl1_3 | ~spl1_10),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f455])).
% 0.21/0.41 thf(f455,plain,(
% 0.21/0.41 $false | (~spl1_3 | ~spl1_10)),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f452])).
% 0.21/0.41 thf(f452,plain,(
% 0.21/0.41 ($true = $false) | (~spl1_3 | ~spl1_10)),
% 0.21/0.41 inference(superposition,[],[f291,f387])).
% 0.21/0.41 thf(f387,plain,(
% 0.21/0.41 ($true = (defused @ sK7 @ sK6)) | ~spl1_10),
% 0.21/0.41 inference(avatar_component_clause,[],[f385])).
% 0.21/0.41 thf(f385,plain,(
% 0.21/0.41 spl1_10 <=> ($true = (defused @ sK7 @ sK6))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
% 0.21/0.41 thf(f291,plain,(
% 0.21/0.41 ($false = (defused @ sK7 @ sK6)) | ~spl1_3),
% 0.21/0.41 inference(avatar_component_clause,[],[f289])).
% 0.21/0.41 thf(f289,plain,(
% 0.21/0.41 spl1_3 <=> ($false = (defused @ sK7 @ sK6))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.21/0.41 thf(f448,plain,(
% 0.21/0.41 spl1_10 | ~spl1_2 | ~spl1_7 | spl1_9),
% 0.21/0.41 inference(avatar_split_clause,[],[f447,f381,f344,f284,f385])).
% 0.21/0.41 thf(f284,plain,(
% 0.21/0.41 spl1_2 <=> ($true = (bomb @ sK7 @ sK6))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.21/0.41 thf(f344,plain,(
% 0.21/0.41 spl1_7 <=> ! [X0 : mu] : (((bomb @ X0 @ sK6) = $false) | ((defused @ X0 @ sK6) = $true) | ((exists_in_world @ X0 @ sK6) = $false))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
% 0.21/0.41 thf(f381,plain,(
% 0.21/0.41 spl1_9 <=> ((exists_in_world @ sK7 @ sK6) = $false)),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
% 0.21/0.41 thf(f447,plain,(
% 0.21/0.41 ($true = (defused @ sK7 @ sK6)) | (~spl1_2 | ~spl1_7 | spl1_9)),
% 0.21/0.41 inference(subsumption_resolution,[],[f434,f382])).
% 0.21/0.41 thf(f382,plain,(
% 0.21/0.41 ((exists_in_world @ sK7 @ sK6) != $false) | spl1_9),
% 0.21/0.41 inference(avatar_component_clause,[],[f381])).
% 0.21/0.41 thf(f434,plain,(
% 0.21/0.41 ($true = (defused @ sK7 @ sK6)) | ((exists_in_world @ sK7 @ sK6) = $false) | (~spl1_2 | ~spl1_7)),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f432])).
% 0.21/0.41 thf(f432,plain,(
% 0.21/0.41 ($true = $false) | ($true = (defused @ sK7 @ sK6)) | ((exists_in_world @ sK7 @ sK6) = $false) | (~spl1_2 | ~spl1_7)),
% 0.21/0.41 inference(superposition,[],[f286,f345])).
% 0.21/0.41 thf(f345,plain,(
% 0.21/0.41 ( ! [X0 : mu] : (((bomb @ X0 @ sK6) = $false) | ((exists_in_world @ X0 @ sK6) = $false) | ((defused @ X0 @ sK6) = $true)) ) | ~spl1_7),
% 0.21/0.41 inference(avatar_component_clause,[],[f344])).
% 0.21/0.41 thf(f286,plain,(
% 0.21/0.41 ($true = (bomb @ sK7 @ sK6)) | ~spl1_2),
% 0.21/0.41 inference(avatar_component_clause,[],[f284])).
% 0.21/0.41 thf(f445,plain,(
% 0.21/0.41 ~spl1_9),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f444])).
% 0.21/0.41 thf(f444,plain,(
% 0.21/0.41 $false | ~spl1_9),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f436])).
% 0.21/0.41 thf(f436,plain,(
% 0.21/0.41 ($true = $false) | ~spl1_9),
% 0.21/0.41 inference(superposition,[],[f383,f268])).
% 0.21/0.41 thf(f268,plain,(
% 0.21/0.41 ($true = (exists_in_world @ sK7 @ sK6))),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f266])).
% 0.21/0.41 thf(f266,plain,(
% 0.21/0.41 ($false = ((exists_in_world @ sK7 @ sK6) => (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK6) => (~ ((defused @ sK7 @ sK6) | ((~ (h @ Y0 @ sK6)) | (~ (bomb @ sK7 @ sK6)))))))))))),
% 0.21/0.41 inference(beta_eta_normalization,[],[f265])).
% 0.21/0.41 thf(f265,plain,(
% 0.21/0.41 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK6) => (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK6) => (~ ((defused @ Y0 @ sK6) | ((~ (h @ Y1 @ sK6)) | (~ (bomb @ Y0 @ sK6))))))))))) @ sK7) = $false)),
% 0.21/0.41 inference(sigma_clausification,[],[f262])).
% 0.21/0.41 thf(f262,plain,(
% 0.21/0.41 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK6) => (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK6) => (~ ((defused @ Y0 @ sK6) | ((~ (h @ Y1 @ sK6)) | (~ (bomb @ Y0 @ sK6)))))))))))))),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f261])).
% 0.21/0.41 thf(f261,plain,(
% 0.21/0.41 (((~ (rel_s4 @ sK5 @ sK6)) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK6) => (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ sK6) => (~ ((defused @ Y0 @ sK6) | ((~ (h @ Y1 @ sK6)) | (~ (bomb @ Y0 @ sK6))))))))))))) = $false)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f260])).
% 0.21/0.41 thf(f260,plain,(
% 0.21/0.41 (((^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (~ ((defused @ Y1 @ Y0) | ((~ (h @ Y2 @ Y0)) | (~ (bomb @ Y1 @ Y0)))))))))))))) @ sK6) = $false)),
% 0.21/0.41 inference(sigma_clausification,[],[f259])).
% 0.21/0.41 thf(f259,plain,(
% 0.21/0.41 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK5 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (~ ((defused @ Y1 @ Y0) | ((~ (h @ Y2 @ Y0)) | (~ (bomb @ Y1 @ Y0))))))))))))))) = $false)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f258])).
% 0.21/0.41 thf(f258,plain,(
% 0.21/0.41 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ ((defused @ Y2 @ Y1) | ((~ (h @ Y3 @ Y1)) | (~ (bomb @ Y2 @ Y1)))))))))))))))) @ sK5) = $false)),
% 0.21/0.41 inference(sigma_clausification,[],[f257])).
% 0.21/0.41 thf(f257,plain,(
% 0.21/0.41 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ ((defused @ Y2 @ Y1) | ((~ (h @ Y3 @ Y1)) | (~ (bomb @ Y2 @ Y1))))))))))))))))) != $true)),
% 0.21/0.41 inference(boolean_simplification,[],[f256])).
% 0.21/0.41 thf(f256,plain,(
% 0.21/0.41 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ ((defused @ Y2 @ Y1) | (~ (~ ((~ (h @ Y3 @ Y1)) | (~ (bomb @ Y2 @ Y1))))))))))))))))))))),
% 0.21/0.41 inference(beta_eta_normalization,[],[f180])).
% 0.21/0.41 thf(f180,plain,(
% 0.21/0.41 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i]: (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : mu]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ (Y1 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0)))))))))),
% 0.21/0.41 inference(definition_unfolding,[],[f164,f150,f138,f154,f172,f167,f166])).
% 0.21/0.41 thf(f166,plain,(
% 0.21/0.41 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.21/0.41 inference(definition_unfolding,[],[f146,f137,f127,f137,f137])).
% 0.21/0.41 thf(f127,plain,(
% 0.21/0.41 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.21/0.41 inference(cnf_transformation,[],[f115])).
% 0.21/0.41 thf(f115,plain,(
% 0.21/0.41 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.21/0.41 inference(fool_elimination,[],[f114])).
% 0.21/0.41 thf(f114,plain,(
% 0.21/0.41 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.21/0.41 inference(rectify,[],[f3])).
% 0.21/0.41 thf(f3,axiom,(
% 0.21/0.41 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.21/0.41 thf(f137,plain,(
% 0.21/0.41 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.41 inference(cnf_transformation,[],[f46])).
% 0.21/0.41 thf(f46,plain,(
% 0.21/0.41 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.41 inference(fool_elimination,[],[f45])).
% 0.21/0.41 thf(f45,plain,(
% 0.21/0.41 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.21/0.41 inference(rectify,[],[f2])).
% 0.21/0.41 thf(f2,axiom,(
% 0.21/0.41 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.21/0.41 thf(f146,plain,(
% 0.21/0.41 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.21/0.41 inference(cnf_transformation,[],[f50])).
% 0.21/0.41 thf(f50,plain,(
% 0.21/0.41 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.21/0.41 inference(fool_elimination,[],[f49])).
% 0.21/0.41 thf(f49,plain,(
% 0.21/0.41 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))),
% 0.21/0.41 inference(rectify,[],[f8])).
% 0.21/0.41 thf(f8,axiom,(
% 0.21/0.41 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 0.21/0.41 thf(f167,plain,(
% 0.21/0.41 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.21/0.41 inference(definition_unfolding,[],[f134,f127,f137])).
% 0.21/0.41 thf(f134,plain,(
% 0.21/0.41 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.41 inference(cnf_transformation,[],[f76])).
% 0.21/0.41 thf(f76,plain,(
% 0.21/0.41 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.41 inference(fool_elimination,[],[f75])).
% 0.21/0.41 thf(f75,plain,(
% 0.21/0.41 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.21/0.41 inference(rectify,[],[f9])).
% 0.21/0.41 thf(f9,axiom,(
% 0.21/0.41 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.21/0.41 thf(f172,plain,(
% 0.21/0.41 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))),
% 0.21/0.41 inference(definition_unfolding,[],[f155,f137,f154,f137])).
% 0.21/0.41 thf(f155,plain,(
% 0.21/0.41 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.21/0.41 inference(cnf_transformation,[],[f54])).
% 0.21/0.41 thf(f54,plain,(
% 0.21/0.41 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.21/0.41 inference(fool_elimination,[],[f53])).
% 0.21/0.41 thf(f53,plain,(
% 0.21/0.41 (mexists_ind = (^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))))),
% 0.21/0.41 inference(rectify,[],[f16])).
% 0.21/0.41 thf(f16,axiom,(
% 0.21/0.41 (mexists_ind = (^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))))),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)).
% 0.21/0.41 thf(f154,plain,(
% 0.21/0.41 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.41 inference(cnf_transformation,[],[f117])).
% 0.21/0.41 thf(f117,plain,(
% 0.21/0.41 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.41 inference(fool_elimination,[],[f116])).
% 0.21/0.41 thf(f116,plain,(
% 0.21/0.41 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : ((exists_in_world @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_ind)),
% 0.21/0.41 inference(rectify,[],[f15])).
% 0.21/0.41 thf(f15,axiom,(
% 0.21/0.41 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : ((exists_in_world @ X0 @ X2) => (X3 @ X0 @ X2)))) = mforall_ind)),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 0.21/0.41 thf(f138,plain,(
% 0.21/0.41 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.21/0.41 inference(cnf_transformation,[],[f107])).
% 0.21/0.41 thf(f107,plain,(
% 0.21/0.41 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.21/0.41 inference(fool_elimination,[],[f106])).
% 0.21/0.41 thf(f106,plain,(
% 0.21/0.41 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s4 @ X1 @ X2)))) = mbox_s4)),
% 0.21/0.41 inference(rectify,[],[f32])).
% 0.21/0.41 thf(f32,axiom,(
% 0.21/0.41 ((^[X3 : $i > $o, X2 : $i] : (! [X6] : ((X3 @ X6) | ~(rel_s4 @ X2 @ X6)))) = mbox_s4)),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 0.21/0.41 thf(f150,plain,(
% 0.21/0.41 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.41 inference(cnf_transformation,[],[f99])).
% 0.21/0.41 thf(f99,plain,(
% 0.21/0.41 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.41 inference(fool_elimination,[],[f98])).
% 0.21/0.41 thf(f98,plain,(
% 0.21/0.41 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.21/0.41 inference(rectify,[],[f28])).
% 0.21/0.41 thf(f28,axiom,(
% 0.21/0.41 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.21/0.41 thf(f164,plain,(
% 0.21/0.41 ((mvalid @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0)))))))) != $true)),
% 0.21/0.41 inference(cnf_transformation,[],[f120])).
% 0.21/0.41 thf(f120,plain,(
% 0.21/0.41 ((mvalid @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0)))))))) != $true)),
% 0.21/0.41 inference(flattening,[],[f60])).
% 0.21/0.41 thf(f60,plain,(
% 0.21/0.41 ~((mvalid @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0)))))))) = $true)),
% 0.21/0.41 inference(fool_elimination,[],[f59])).
% 0.21/0.41 thf(f59,plain,(
% 0.21/0.41 ~(mvalid @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (mimplies @ (mand @ (bomb @ X0) @ (h @ X1)) @ (defused @ X0))))))))),
% 0.21/0.41 inference(rectify,[],[f41])).
% 0.21/0.41 thf(f41,negated_conjecture,(
% 0.21/0.41 ~(mvalid @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mexists_ind @ (^[X13 : mu] : (mimplies @ (mand @ (bomb @ X0) @ (h @ X13)) @ (defused @ X0))))))))),
% 0.21/0.41 inference(negated_conjecture,[],[f40])).
% 0.21/0.41 thf(f40,conjecture,(
% 0.21/0.41 (mvalid @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mexists_ind @ (^[X13 : mu] : (mimplies @ (mand @ (bomb @ X0) @ (h @ X13)) @ (defused @ X0))))))))),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.21/0.41 thf(f383,plain,(
% 0.21/0.41 ((exists_in_world @ sK7 @ sK6) = $false) | ~spl1_9),
% 0.21/0.41 inference(avatar_component_clause,[],[f381])).
% 0.21/0.41 thf(f428,plain,(
% 0.21/0.41 ~spl1_1),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f427])).
% 0.21/0.41 thf(f427,plain,(
% 0.21/0.41 $false | ~spl1_1),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f407])).
% 0.21/0.41 thf(f407,plain,(
% 0.21/0.41 ($true = $false) | ~spl1_1),
% 0.21/0.41 inference(superposition,[],[f132,f282])).
% 0.21/0.41 thf(f282,plain,(
% 0.21/0.41 ( ! [X1 : mu] : (((exists_in_world @ X1 @ sK6) = $false)) ) | ~spl1_1),
% 0.21/0.41 inference(avatar_component_clause,[],[f281])).
% 0.21/0.41 thf(f281,plain,(
% 0.21/0.41 spl1_1 <=> ! [X1 : mu] : ((exists_in_world @ X1 @ sK6) = $false)),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.21/0.41 thf(f132,plain,(
% 0.21/0.41 ( ! [X0 : $i] : (((exists_in_world @ (sK0 @ X0) @ X0) = $true)) )),
% 0.21/0.41 inference(cnf_transformation,[],[f124])).
% 0.21/0.41 thf(f124,plain,(
% 0.21/0.41 ! [X0] : ((exists_in_world @ (sK0 @ X0) @ X0) = $true)),
% 0.21/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f80,f123])).
% 0.21/0.41 thf(f123,plain,(
% 0.21/0.41 ! [X0] : (? [X1 : mu] : ($true = (exists_in_world @ X1 @ X0)) => ((exists_in_world @ (sK0 @ X0) @ X0) = $true))),
% 0.21/0.41 introduced(choice_axiom,[])).
% 0.21/0.41 thf(f80,plain,(
% 0.21/0.41 ! [X0] : ? [X1 : mu] : ($true = (exists_in_world @ X1 @ X0))),
% 0.21/0.41 inference(fool_elimination,[],[f79])).
% 0.21/0.41 thf(f79,plain,(
% 0.21/0.41 ! [X0] : ? [X1 : mu] : (exists_in_world @ X1 @ X0)),
% 0.21/0.41 inference(rectify,[],[f14])).
% 0.21/0.41 thf(f14,axiom,(
% 0.21/0.41 ! [X6] : ? [X0 : mu] : (exists_in_world @ X0 @ X6)),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonempty_ax)).
% 0.21/0.41 thf(f366,plain,(
% 0.21/0.41 ~spl1_6),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f365])).
% 0.21/0.41 thf(f365,plain,(
% 0.21/0.41 $false | ~spl1_6),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f355])).
% 0.21/0.41 thf(f355,plain,(
% 0.21/0.41 ($true = $false) | ~spl1_6),
% 0.21/0.41 inference(superposition,[],[f183,f342])).
% 0.21/0.41 thf(f342,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (((rel_s4 @ X1 @ sK6) = $false)) ) | ~spl1_6),
% 0.21/0.41 inference(avatar_component_clause,[],[f341])).
% 0.21/0.41 thf(f341,plain,(
% 0.21/0.41 spl1_6 <=> ! [X1] : ((rel_s4 @ X1 @ sK6) = $false)),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
% 0.21/0.41 thf(f351,plain,(
% 0.21/0.41 spl1_7 | spl1_6 | spl1_8 | spl1_6),
% 0.21/0.41 inference(avatar_split_clause,[],[f335,f341,f347,f341,f344])).
% 0.21/0.41 thf(f335,plain,(
% 0.21/0.41 ( ! [X2 : $i,X0 : mu,X1 : $i] : (((bomb @ X0 @ sK6) = $false) | ((rel_s4 @ X1 @ sK6) = $false) | ((exists_in_world @ X0 @ sK6) = $false) | ((defused @ X0 @ sK6) = $true) | ((rel_s4 @ X2 @ sK6) = $false) | ((rel_s4 @ sK6 @ sK6) = $false)) )),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f334])).
% 0.21/0.41 thf(f334,plain,(
% 0.21/0.41 ( ! [X2 : $i,X0 : mu,X1 : $i] : (((rel_s4 @ X2 @ sK6) = $false) | ((exists_in_world @ X0 @ sK6) = $false) | ((defused @ X0 @ sK6) = $true) | ((rel_s4 @ sK6 @ sK6) = $false) | ((rel_s4 @ X1 @ sK6) = $false) | ($true = $false) | ((bomb @ X0 @ sK6) = $false)) )),
% 0.21/0.41 inference(duplicate_literal_removal,[],[f330])).
% 0.21/0.41 thf(f330,plain,(
% 0.21/0.41 ( ! [X2 : $i,X0 : mu,X1 : $i] : (((rel_s4 @ sK6 @ sK6) = $false) | ((bomb @ X0 @ sK6) = $false) | ((exists_in_world @ X0 @ sK6) = $false) | ((exists_in_world @ X0 @ sK6) = $false) | ($true = $false) | ((rel_s4 @ X1 @ sK6) = $false) | ((defused @ X0 @ sK6) = $true) | ((rel_s4 @ X2 @ sK6) = $false)) )),
% 0.21/0.41 inference(superposition,[],[f329,f237])).
% 0.21/0.41 thf(f237,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i] : (((exists_in_world @ (sK4 @ X3 @ X2) @ X2) = $true) | ((rel_s4 @ X1 @ X2) = $false) | ((exists_in_world @ X3 @ X2) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f235])).
% 0.21/0.41 thf(f235,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i] : (((rel_s4 @ X1 @ X2) = $false) | ((exists_in_world @ X3 @ X2) = $false) | (((exists_in_world @ (sK4 @ X3 @ X2) @ X2) => (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X2 @ Y0)) | ((defused @ X3 @ Y0) | ((~ (h @ (sK4 @ X3 @ X2) @ Y0)) | (~ (bomb @ X3 @ Y0))))))))) = $false)) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f234])).
% 0.21/0.41 thf(f234,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i] : ((((^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X2 @ Y1)) | ((defused @ X3 @ Y1) | ((~ (h @ Y0 @ Y1)) | (~ (bomb @ X3 @ Y1)))))))))) @ (sK4 @ X3 @ X2)) = $false) | ((rel_s4 @ X1 @ X2) = $false) | ((exists_in_world @ X3 @ X2) = $false)) )),
% 0.21/0.41 inference(sigma_clausification,[],[f233])).
% 0.21/0.41 thf(f233,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X2 @ Y1)) | ((defused @ X3 @ Y1) | ((~ (h @ Y0 @ Y1)) | (~ (bomb @ X3 @ Y1))))))))))) = $false) | ((exists_in_world @ X3 @ X2) = $false) | ((rel_s4 @ X1 @ X2) = $false)) )),
% 0.21/0.41 inference(not_proxy_clausification,[],[f232])).
% 0.21/0.41 thf(f232,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i] : (((rel_s4 @ X1 @ X2) = $false) | ($true = (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X2 @ Y1)) | ((defused @ X3 @ Y1) | ((~ (h @ Y0 @ Y1)) | (~ (bomb @ X3 @ Y1))))))))))))) | ((exists_in_world @ X3 @ X2) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f231])).
% 0.21/0.41 thf(f231,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i] : ((((exists_in_world @ X3 @ X2) => (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X2 @ Y1)) | ((defused @ X3 @ Y1) | ((~ (h @ Y0 @ Y1)) | (~ (bomb @ X3 @ Y1))))))))))))) = $true) | ((rel_s4 @ X1 @ X2) = $false)) )),
% 0.21/0.41 inference(not_proxy_clausification,[],[f230])).
% 0.21/0.41 thf(f230,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i] : (($true = (~ (rel_s4 @ X1 @ X2))) | (((exists_in_world @ X3 @ X2) => (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X2 @ Y1)) | ((defused @ X3 @ Y1) | ((~ (h @ Y0 @ Y1)) | (~ (bomb @ X3 @ Y1))))))))))))) = $true)) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f229])).
% 0.21/0.41 thf(f229,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ X2) => (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ X2 @ Y2)) | ((defused @ Y0 @ Y2) | ((~ (h @ Y1 @ Y2)) | (~ (bomb @ Y0 @ Y2)))))))))))))) @ X3)) | ($true = (~ (rel_s4 @ X1 @ X2)))) )),
% 0.21/0.41 inference(pi_clausification,[],[f228])).
% 0.21/0.41 thf(f228,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ X2) => (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ X2 @ Y2)) | ((defused @ Y0 @ Y2) | ((~ (h @ Y1 @ Y2)) | (~ (bomb @ Y0 @ Y2))))))))))))))) = $true) | ($true = (~ (rel_s4 @ X1 @ X2)))) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f227])).
% 0.21/0.41 thf(f227,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (rel_s4 @ X1 @ X2)) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ X2) => (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ X2 @ Y2)) | ((defused @ Y0 @ Y2) | ((~ (h @ Y1 @ Y2)) | (~ (bomb @ Y0 @ Y2)))))))))))))))))) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f226])).
% 0.21/0.41 thf(f226,plain,(
% 0.21/0.41 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y0 @ Y3)) | ((defused @ Y1 @ Y3) | ((~ (h @ Y2 @ Y3)) | (~ (bomb @ Y1 @ Y3))))))))))))))))) @ X2) = $true)) )),
% 0.21/0.41 inference(pi_clausification,[],[f225])).
% 0.21/0.41 thf(f225,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y0 @ Y3)) | ((defused @ Y1 @ Y3) | ((~ (h @ Y2 @ Y3)) | (~ (bomb @ Y1 @ Y3)))))))))))))))))) = $true)) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f224])).
% 0.21/0.41 thf(f224,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y1 @ Y4)) | ((defused @ Y2 @ Y4) | ((~ (h @ Y3 @ Y4)) | (~ (bomb @ Y2 @ Y4))))))))))))))))))) @ X1))) )),
% 0.21/0.41 inference(pi_clausification,[],[f223])).
% 0.21/0.41 thf(f223,plain,(
% 0.21/0.41 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y1 @ Y4)) | ((defused @ Y2 @ Y4) | ((~ (h @ Y3 @ Y4)) | (~ (bomb @ Y2 @ Y4)))))))))))))))))))))),
% 0.21/0.41 inference(boolean_simplification,[],[f222])).
% 0.21/0.41 thf(f222,plain,(
% 0.21/0.41 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y1 @ Y4)) | ((defused @ Y2 @ Y4) | (~ (~ ((~ (h @ Y3 @ Y4)) | (~ (bomb @ Y2 @ Y4)))))))))))))))))))))))),
% 0.21/0.41 inference(beta_eta_normalization,[],[f179])).
% 0.21/0.41 thf(f179,plain,(
% 0.21/0.41 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i]: (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : mu]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ (Y1 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0))))))))))),
% 0.21/0.41 inference(definition_unfolding,[],[f162,f150,f138,f154,f172,f138,f167,f166])).
% 0.21/0.41 thf(f162,plain,(
% 0.21/0.41 ($true = (mvalid @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0))))))))))),
% 0.21/0.41 inference(cnf_transformation,[],[f92])).
% 0.21/0.41 thf(f92,plain,(
% 0.21/0.41 ($true = (mvalid @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mand @ (bomb @ Y0) @ (h @ Y1)) @ (defused @ Y0))))))))))),
% 0.21/0.41 inference(fool_elimination,[],[f91])).
% 0.21/0.41 thf(f91,plain,(
% 0.21/0.41 (mvalid @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (mbox_s4 @ (mimplies @ (mand @ (bomb @ X0) @ (h @ X1)) @ (defused @ X0)))))))))),
% 0.21/0.41 inference(rectify,[],[f39])).
% 0.21/0.41 thf(f39,axiom,(
% 0.21/0.41 (mvalid @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mexists_ind @ (^[X13 : mu] : (mbox_s4 @ (mimplies @ (mand @ (bomb @ X0) @ (h @ X13)) @ (defused @ X0)))))))))),
% 0.21/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)).
% 0.21/0.41 thf(f329,plain,(
% 0.21/0.41 ( ! [X2 : $i,X0 : mu,X1 : $i] : (((exists_in_world @ (sK4 @ X0 @ X1) @ sK6) = $false) | ((bomb @ X0 @ sK6) = $false) | ((rel_s4 @ X2 @ X1) = $false) | ((defused @ X0 @ sK6) = $true) | ((exists_in_world @ X0 @ X1) = $false) | ((rel_s4 @ X1 @ sK6) = $false)) )),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f326])).
% 0.21/0.41 thf(f326,plain,(
% 0.21/0.41 ( ! [X2 : $i,X0 : mu,X1 : $i] : (((rel_s4 @ X2 @ X1) = $false) | ((exists_in_world @ X0 @ X1) = $false) | ((defused @ X0 @ sK6) = $true) | ($true = $false) | ((exists_in_world @ (sK4 @ X0 @ X1) @ sK6) = $false) | ((bomb @ X0 @ sK6) = $false) | ((rel_s4 @ X1 @ sK6) = $false)) )),
% 0.21/0.41 inference(superposition,[],[f246,f278])).
% 0.21/0.41 thf(f278,plain,(
% 0.21/0.41 ( ! [X1 : mu] : (($true = (h @ X1 @ sK6)) | ((exists_in_world @ X1 @ sK6) = $false)) )),
% 0.21/0.41 inference(not_proxy_clausification,[],[f277])).
% 0.21/0.41 thf(f277,plain,(
% 0.21/0.41 ( ! [X1 : mu] : (((~ (h @ X1 @ sK6)) = $false) | ((exists_in_world @ X1 @ sK6) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f274])).
% 0.21/0.41 thf(f274,plain,(
% 0.21/0.41 ( ! [X1 : mu] : (((exists_in_world @ X1 @ sK6) = $false) | (((~ (h @ X1 @ sK6)) | (~ (bomb @ sK7 @ sK6))) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f273])).
% 0.21/0.41 thf(f273,plain,(
% 0.21/0.41 ( ! [X1 : mu] : (((exists_in_world @ X1 @ sK6) = $false) | (((defused @ sK7 @ sK6) | ((~ (h @ X1 @ sK6)) | (~ (bomb @ sK7 @ sK6)))) = $false)) )),
% 0.21/0.41 inference(not_proxy_clausification,[],[f272])).
% 0.21/0.41 thf(f272,plain,(
% 0.21/0.41 ( ! [X1 : mu] : (((~ ((defused @ sK7 @ sK6) | ((~ (h @ X1 @ sK6)) | (~ (bomb @ sK7 @ sK6))))) = $true) | ((exists_in_world @ X1 @ sK6) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f271])).
% 0.21/0.41 thf(f271,plain,(
% 0.21/0.41 ( ! [X1 : mu] : ((((exists_in_world @ X1 @ sK6) => (~ ((defused @ sK7 @ sK6) | ((~ (h @ X1 @ sK6)) | (~ (bomb @ sK7 @ sK6)))))) = $true)) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f270])).
% 0.21/0.41 thf(f270,plain,(
% 0.21/0.41 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK6) => (~ ((defused @ sK7 @ sK6) | ((~ (h @ Y0 @ sK6)) | (~ (bomb @ sK7 @ sK6))))))) @ X1))) )),
% 0.21/0.41 inference(pi_clausification,[],[f269])).
% 0.21/0.41 thf(f269,plain,(
% 0.21/0.41 ($true = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK6) => (~ ((defused @ sK7 @ sK6) | ((~ (h @ Y0 @ sK6)) | (~ (bomb @ sK7 @ sK6)))))))))),
% 0.21/0.41 inference(not_proxy_clausification,[],[f267])).
% 0.21/0.41 thf(f267,plain,(
% 0.21/0.41 ((~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK6) => (~ ((defused @ sK7 @ sK6) | ((~ (h @ Y0 @ sK6)) | (~ (bomb @ sK7 @ sK6))))))))) = $false)),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f266])).
% 0.21/0.41 thf(f246,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (((h @ (sK4 @ X3 @ X2) @ X4) = $false) | ((exists_in_world @ X3 @ X2) = $false) | ((bomb @ X3 @ X4) = $false) | ((rel_s4 @ X1 @ X2) = $false) | ((defused @ X3 @ X4) = $true) | ((rel_s4 @ X2 @ X4) = $false)) )),
% 0.21/0.41 inference(not_proxy_clausification,[],[f245])).
% 0.21/0.41 thf(f245,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (bomb @ X3 @ X4))) | ((exists_in_world @ X3 @ X2) = $false) | ((rel_s4 @ X1 @ X2) = $false) | ((rel_s4 @ X2 @ X4) = $false) | ((h @ (sK4 @ X3 @ X2) @ X4) = $false) | ((defused @ X3 @ X4) = $true)) )),
% 0.21/0.41 inference(not_proxy_clausification,[],[f244])).
% 0.21/0.41 thf(f244,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (h @ (sK4 @ X3 @ X2) @ X4))) | ((rel_s4 @ X2 @ X4) = $false) | ((exists_in_world @ X3 @ X2) = $false) | ($true = (~ (bomb @ X3 @ X4))) | ((rel_s4 @ X1 @ X2) = $false) | ((defused @ X3 @ X4) = $true)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f243])).
% 0.21/0.41 thf(f243,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (((rel_s4 @ X2 @ X4) = $false) | ((rel_s4 @ X1 @ X2) = $false) | ((exists_in_world @ X3 @ X2) = $false) | ($true = ((~ (h @ (sK4 @ X3 @ X2) @ X4)) | (~ (bomb @ X3 @ X4)))) | ((defused @ X3 @ X4) = $true)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f242])).
% 0.21/0.41 thf(f242,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (((rel_s4 @ X2 @ X4) = $false) | ((rel_s4 @ X1 @ X2) = $false) | ($true = ((defused @ X3 @ X4) | ((~ (h @ (sK4 @ X3 @ X2) @ X4)) | (~ (bomb @ X3 @ X4))))) | ((exists_in_world @ X3 @ X2) = $false)) )),
% 0.21/0.41 inference(not_proxy_clausification,[],[f241])).
% 0.21/0.41 thf(f241,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (((exists_in_world @ X3 @ X2) = $false) | ((~ (rel_s4 @ X2 @ X4)) = $true) | ((rel_s4 @ X1 @ X2) = $false) | ($true = ((defused @ X3 @ X4) | ((~ (h @ (sK4 @ X3 @ X2) @ X4)) | (~ (bomb @ X3 @ X4)))))) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f240])).
% 0.21/0.41 thf(f240,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (((exists_in_world @ X3 @ X2) = $false) | ((rel_s4 @ X1 @ X2) = $false) | (((~ (rel_s4 @ X2 @ X4)) | ((defused @ X3 @ X4) | ((~ (h @ (sK4 @ X3 @ X2) @ X4)) | (~ (bomb @ X3 @ X4))))) = $true)) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f239])).
% 0.21/0.41 thf(f239,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: ((~ (rel_s4 @ X2 @ Y0)) | ((defused @ X3 @ Y0) | ((~ (h @ (sK4 @ X3 @ X2) @ Y0)) | (~ (bomb @ X3 @ Y0)))))) @ X4)) | ((exists_in_world @ X3 @ X2) = $false) | ((rel_s4 @ X1 @ X2) = $false)) )),
% 0.21/0.41 inference(pi_clausification,[],[f238])).
% 0.21/0.41 thf(f238,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X2 @ Y0)) | ((defused @ X3 @ Y0) | ((~ (h @ (sK4 @ X3 @ X2) @ Y0)) | (~ (bomb @ X3 @ Y0)))))))) | ((rel_s4 @ X1 @ X2) = $false) | ((exists_in_world @ X3 @ X2) = $false)) )),
% 0.21/0.41 inference(not_proxy_clausification,[],[f236])).
% 0.21/0.41 thf(f236,plain,(
% 0.21/0.41 ( ! [X2 : $i,X3 : mu,X1 : $i] : (((exists_in_world @ X3 @ X2) = $false) | ((rel_s4 @ X1 @ X2) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X2 @ Y0)) | ((defused @ X3 @ Y0) | ((~ (h @ (sK4 @ X3 @ X2) @ Y0)) | (~ (bomb @ X3 @ Y0)))))))) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f235])).
% 0.21/0.41 thf(f292,plain,(
% 0.21/0.41 spl1_1 | spl1_3),
% 0.21/0.41 inference(avatar_split_clause,[],[f275,f289,f281])).
% 0.21/0.41 thf(f275,plain,(
% 0.21/0.41 ( ! [X1 : mu] : (($false = (defused @ sK7 @ sK6)) | ((exists_in_world @ X1 @ sK6) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f273])).
% 0.21/0.41 thf(f287,plain,(
% 0.21/0.41 spl1_1 | spl1_2),
% 0.21/0.41 inference(avatar_split_clause,[],[f279,f284,f281])).
% 0.21/0.41 thf(f279,plain,(
% 0.21/0.41 ( ! [X1 : mu] : (((exists_in_world @ X1 @ sK6) = $false) | ($true = (bomb @ sK7 @ sK6))) )),
% 0.21/0.41 inference(not_proxy_clausification,[],[f276])).
% 0.21/0.41 thf(f276,plain,(
% 0.21/0.41 ( ! [X1 : mu] : (($false = (~ (bomb @ sK7 @ sK6))) | ((exists_in_world @ X1 @ sK6) = $false)) )),
% 0.21/0.41 inference(binary_proxy_clausification,[],[f274])).
% 0.21/0.41 % SZS output end Proof for theBenchmark
% 0.21/0.41 % (9826)------------------------------
% 0.21/0.41 % (9826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (9826)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (9826)Memory used [KB]: 6012
% 0.21/0.41 % (9826)Time elapsed: 0.032 s
% 0.21/0.41 % (9826)Instructions burned: 42 (million)
% 0.21/0.41 % (9826)------------------------------
% 0.21/0.41 % (9826)------------------------------
% 0.21/0.41 % (9825)Success in time 0.033 s
% 0.21/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------