TSTP Solution File: SYO462^6 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO462^6 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:04:54 EDT 2024
% Result : Theorem 0.12s 0.39s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYO462^6 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % 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
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 20 09:07:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a TH0_THM_EQU_NAR problem
% 0.12/0.34 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
% 0.12/0.36 % (22085)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.36 % (22080)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)
% 0.12/0.36 % (22085)Instruction limit reached!
% 0.12/0.36 % (22085)------------------------------
% 0.12/0.36 % (22085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (22085)Termination reason: Unknown
% 0.12/0.36 % (22085)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (22085)Memory used [KB]: 5756
% 0.12/0.36 % (22085)Time elapsed: 0.007 s
% 0.12/0.36 % (22085)Instructions burned: 19 (million)
% 0.12/0.36 % (22085)------------------------------
% 0.12/0.36 % (22085)------------------------------
% 0.12/0.36 % (22079)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.36 % (22081)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)
% 0.12/0.36 % (22082)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.36 % (22083)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)
% 0.12/0.36 % (22084)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)
% 0.12/0.36 % (22086)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)
% 0.12/0.36 % (22082)Instruction limit reached!
% 0.12/0.36 % (22082)------------------------------
% 0.12/0.36 % (22082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (22082)Termination reason: Unknown
% 0.12/0.36 % (22082)Termination phase: shuffling
% 0.12/0.36 % (22083)Instruction limit reached!
% 0.12/0.36 % (22083)------------------------------
% 0.12/0.36 % (22083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (22083)Termination reason: Unknown
% 0.12/0.36 % (22083)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (22083)Memory used [KB]: 1023
% 0.12/0.36 % (22083)Time elapsed: 0.003 s
% 0.12/0.36 % (22083)Instructions burned: 2 (million)
% 0.12/0.36 % (22083)------------------------------
% 0.12/0.36 % (22083)------------------------------
% 0.12/0.36
% 0.12/0.36 % (22082)Memory used [KB]: 1023
% 0.12/0.36 % (22082)Time elapsed: 0.003 s
% 0.12/0.36 % (22082)Instructions burned: 2 (million)
% 0.12/0.36 % (22082)------------------------------
% 0.12/0.36 % (22082)------------------------------
% 0.12/0.36 % (22086)Instruction limit reached!
% 0.12/0.36 % (22086)------------------------------
% 0.12/0.36 % (22086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (22086)Termination reason: Unknown
% 0.12/0.36 % (22086)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (22086)Memory used [KB]: 1023
% 0.12/0.36 % (22086)Time elapsed: 0.004 s
% 0.12/0.36 % (22086)Instructions burned: 3 (million)
% 0.12/0.36 % (22086)------------------------------
% 0.12/0.36 % (22086)------------------------------
% 0.12/0.36 % (22080)Instruction limit reached!
% 0.12/0.36 % (22080)------------------------------
% 0.12/0.36 % (22080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (22080)Termination reason: Unknown
% 0.12/0.36 % (22080)Termination phase: Property scanning
% 0.12/0.36
% 0.12/0.36 % (22080)Memory used [KB]: 1023
% 0.12/0.36 % (22080)Time elapsed: 0.005 s
% 0.12/0.36 % (22080)Instructions burned: 5 (million)
% 0.12/0.36 % (22080)------------------------------
% 0.12/0.36 % (22080)------------------------------
% 0.12/0.37 % (22084)Refutation not found, incomplete strategy
% 0.12/0.37 % (22084)------------------------------
% 0.12/0.37 % (22084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (22084)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % (22084)Memory used [KB]: 5628
% 0.12/0.37 % (22084)Time elapsed: 0.007 s
% 0.12/0.37 % (22084)Instructions burned: 8 (million)
% 0.12/0.37 % (22084)------------------------------
% 0.12/0.37 % (22084)------------------------------
% 0.12/0.37 % (22094)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)
% 0.12/0.38 % (22081)Instruction limit reached!
% 0.12/0.38 % (22081)------------------------------
% 0.12/0.38 % (22081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (22081)Termination reason: Unknown
% 0.12/0.38 % (22081)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (22081)Memory used [KB]: 5756
% 0.12/0.38 % (22081)Time elapsed: 0.018 s
% 0.12/0.38 % (22081)Instructions burned: 27 (million)
% 0.12/0.38 % (22081)------------------------------
% 0.12/0.38 % (22081)------------------------------
% 0.12/0.38 % (22097)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)
% 0.12/0.38 % (22095)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)
% 0.12/0.38 % (22099)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)
% 0.12/0.38 % (22097)Instruction limit reached!
% 0.12/0.38 % (22097)------------------------------
% 0.12/0.38 % (22097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (22100)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.38 % (22097)Termination reason: Unknown
% 0.12/0.38 % (22097)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (22097)Memory used [KB]: 1023
% 0.12/0.38 % (22097)Time elapsed: 0.004 s
% 0.12/0.38 % (22097)Instructions burned: 4 (million)
% 0.12/0.38 % (22097)------------------------------
% 0.12/0.38 % (22097)------------------------------
% 0.12/0.38 % (22094)Instruction limit reached!
% 0.12/0.38 % (22094)------------------------------
% 0.12/0.38 % (22094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (22094)Termination reason: Unknown
% 0.12/0.38 % (22079)First to succeed.
% 0.12/0.38 % (22094)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (22094)Memory used [KB]: 5756
% 0.12/0.38 % (22094)Time elapsed: 0.013 s
% 0.12/0.38 % (22094)Instructions burned: 39 (million)
% 0.12/0.38 % (22094)------------------------------
% 0.12/0.38 % (22094)------------------------------
% 0.12/0.38 % (22103)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.12/0.38 % (22100)Instruction limit reached!
% 0.12/0.38 % (22100)------------------------------
% 0.12/0.38 % (22100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (22100)Termination reason: Unknown
% 0.12/0.38 % (22100)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (22100)Memory used [KB]: 1023
% 0.12/0.38 % (22100)Time elapsed: 0.006 s
% 0.12/0.38 % (22100)Instructions burned: 8 (million)
% 0.12/0.38 % (22100)------------------------------
% 0.12/0.38 % (22100)------------------------------
% 0.12/0.39 % (22095)Instruction limit reached!
% 0.12/0.39 % (22095)------------------------------
% 0.12/0.39 % (22095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (22095)Termination reason: Unknown
% 0.12/0.39 % (22095)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (22095)Memory used [KB]: 5628
% 0.12/0.39 % (22095)Time elapsed: 0.010 s
% 0.12/0.39 % (22095)Instructions burned: 16 (million)
% 0.12/0.39 % (22095)------------------------------
% 0.12/0.39 % (22095)------------------------------
% 0.12/0.39 % (22079)Refutation found. Thanks to Tanya!
% 0.12/0.39 % SZS status Theorem for theBenchmark
% 0.12/0.39 % SZS output start Proof for theBenchmark
% 0.12/0.39 thf(type_def_5, type, mu: $tType).
% 0.12/0.39 thf(func_def_0, type, mu: $tType).
% 0.12/0.39 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.12/0.39 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_15, type, mtrue: $i > $o).
% 0.12/0.39 thf(func_def_16, type, mfalse: $i > $o).
% 0.12/0.39 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.12/0.39 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.12/0.39 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.12/0.39 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.12/0.39 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.12/0.39 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.12/0.39 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.12/0.39 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.12/0.39 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.12/0.39 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.12/0.39 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.12/0.39 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.12/0.39 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.12/0.39 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.12/0.39 thf(func_def_33, type, rel_s5: $i > $i > $o).
% 0.12/0.39 thf(func_def_34, type, mbox_s5: ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_35, type, mdia_s5: ($i > $o) > $i > $o).
% 0.12/0.39 thf(func_def_36, type, p: $i > $o).
% 0.12/0.39 thf(func_def_37, type, q: $i > $o).
% 0.12/0.39 thf(f561,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(avatar_sat_refutation,[],[f261,f276,f281,f286,f291,f296,f301,f429,f431,f437,f501,f511,f519,f543,f550,f552,f558,f560])).
% 0.12/0.39 thf(f560,plain,(
% 0.12/0.39 spl0_15 | ~spl0_1 | ~spl0_10),
% 0.12/0.39 inference(avatar_split_clause,[],[f536,f298,f256,f391])).
% 0.12/0.39 thf(f391,plain,(
% 0.12/0.39 spl0_15 <=> ((p @ sK3) = $true)),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 0.12/0.39 thf(f256,plain,(
% 0.12/0.39 spl0_1 <=> ! [X2] : (((p @ X2) = $true) | ($false = (rel_s5 @ sK1 @ X2)))),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.12/0.39 thf(f298,plain,(
% 0.12/0.39 spl0_10 <=> ($true = (rel_s5 @ sK1 @ sK3))),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.12/0.39 thf(f536,plain,(
% 0.12/0.39 ((p @ sK3) = $true) | (~spl0_1 | ~spl0_10)),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f523])).
% 0.12/0.39 thf(f523,plain,(
% 0.12/0.39 ($false = $true) | ((p @ sK3) = $true) | (~spl0_1 | ~spl0_10)),
% 0.12/0.39 inference(superposition,[],[f257,f300])).
% 0.12/0.39 thf(f300,plain,(
% 0.12/0.39 ($true = (rel_s5 @ sK1 @ sK3)) | ~spl0_10),
% 0.12/0.39 inference(avatar_component_clause,[],[f298])).
% 0.12/0.39 thf(f257,plain,(
% 0.12/0.39 ( ! [X2 : $i] : (($false = (rel_s5 @ sK1 @ X2)) | ((p @ X2) = $true)) ) | ~spl0_1),
% 0.12/0.39 inference(avatar_component_clause,[],[f256])).
% 0.12/0.39 thf(f558,plain,(
% 0.12/0.39 ~spl0_9 | ~spl0_21),
% 0.12/0.39 inference(avatar_contradiction_clause,[],[f557])).
% 0.12/0.39 thf(f557,plain,(
% 0.12/0.39 $false | (~spl0_9 | ~spl0_21)),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f553])).
% 0.12/0.39 thf(f553,plain,(
% 0.12/0.39 ($false = $true) | (~spl0_9 | ~spl0_21)),
% 0.12/0.39 inference(superposition,[],[f295,f509])).
% 0.12/0.39 thf(f509,plain,(
% 0.12/0.39 ((q @ sK3) = $true) | ~spl0_21),
% 0.12/0.39 inference(avatar_component_clause,[],[f507])).
% 0.12/0.39 thf(f507,plain,(
% 0.12/0.39 spl0_21 <=> ((q @ sK3) = $true)),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
% 0.12/0.39 thf(f295,plain,(
% 0.12/0.39 ((q @ sK3) = $false) | ~spl0_9),
% 0.12/0.39 inference(avatar_component_clause,[],[f293])).
% 0.12/0.39 thf(f293,plain,(
% 0.12/0.39 spl0_9 <=> ((q @ sK3) = $false)),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.12/0.39 thf(f552,plain,(
% 0.12/0.39 spl0_13 | ~spl0_1 | ~spl0_6),
% 0.12/0.39 inference(avatar_split_clause,[],[f530,f278,f256,f340])).
% 0.12/0.39 thf(f340,plain,(
% 0.12/0.39 spl0_13 <=> ((p @ sK2) = $true)),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
% 0.12/0.39 thf(f278,plain,(
% 0.12/0.39 spl0_6 <=> ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.12/0.39 thf(f530,plain,(
% 0.12/0.39 ((p @ sK2) = $true) | (~spl0_1 | ~spl0_6)),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f522])).
% 0.12/0.39 thf(f522,plain,(
% 0.12/0.39 ($false = $true) | ((p @ sK2) = $true) | (~spl0_1 | ~spl0_6)),
% 0.12/0.39 inference(superposition,[],[f257,f280])).
% 0.12/0.39 thf(f280,plain,(
% 0.12/0.39 ((rel_s5 @ sK1 @ sK2) = $true) | ~spl0_6),
% 0.12/0.39 inference(avatar_component_clause,[],[f278])).
% 0.12/0.39 thf(f550,plain,(
% 0.12/0.39 ~spl0_7 | ~spl0_17),
% 0.12/0.39 inference(avatar_contradiction_clause,[],[f549])).
% 0.12/0.39 thf(f549,plain,(
% 0.12/0.39 $false | (~spl0_7 | ~spl0_17)),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f546])).
% 0.12/0.39 thf(f546,plain,(
% 0.12/0.39 ($false = $true) | (~spl0_7 | ~spl0_17)),
% 0.12/0.39 inference(superposition,[],[f285,f489])).
% 0.12/0.39 thf(f489,plain,(
% 0.12/0.39 ((q @ sK4) = $true) | ~spl0_17),
% 0.12/0.39 inference(avatar_component_clause,[],[f487])).
% 0.12/0.39 thf(f487,plain,(
% 0.12/0.39 spl0_17 <=> ((q @ sK4) = $true)),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
% 0.12/0.39 thf(f285,plain,(
% 0.12/0.39 ($false = (q @ sK4)) | ~spl0_7),
% 0.12/0.39 inference(avatar_component_clause,[],[f283])).
% 0.12/0.39 thf(f283,plain,(
% 0.12/0.39 spl0_7 <=> ($false = (q @ sK4))),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.12/0.39 thf(f543,plain,(
% 0.12/0.39 ~spl0_1 | ~spl0_8 | ~spl0_16),
% 0.12/0.39 inference(avatar_contradiction_clause,[],[f542])).
% 0.12/0.39 thf(f542,plain,(
% 0.12/0.39 $false | (~spl0_1 | ~spl0_8 | ~spl0_16)),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f539])).
% 0.12/0.39 thf(f539,plain,(
% 0.12/0.39 ($false = $true) | (~spl0_1 | ~spl0_8 | ~spl0_16)),
% 0.12/0.39 inference(superposition,[],[f485,f533])).
% 0.12/0.39 thf(f533,plain,(
% 0.12/0.39 ((p @ sK4) = $true) | (~spl0_1 | ~spl0_8)),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f528])).
% 0.12/0.39 thf(f528,plain,(
% 0.12/0.39 ($false = $true) | ((p @ sK4) = $true) | (~spl0_1 | ~spl0_8)),
% 0.12/0.39 inference(superposition,[],[f290,f257])).
% 0.12/0.39 thf(f290,plain,(
% 0.12/0.39 ((rel_s5 @ sK1 @ sK4) = $true) | ~spl0_8),
% 0.12/0.39 inference(avatar_component_clause,[],[f288])).
% 0.12/0.39 thf(f288,plain,(
% 0.12/0.39 spl0_8 <=> ((rel_s5 @ sK1 @ sK4) = $true)),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.12/0.39 thf(f485,plain,(
% 0.12/0.39 ($false = (p @ sK4)) | ~spl0_16),
% 0.12/0.39 inference(avatar_component_clause,[],[f483])).
% 0.12/0.39 thf(f483,plain,(
% 0.12/0.39 spl0_16 <=> ($false = (p @ sK4))),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 0.12/0.39 thf(f519,plain,(
% 0.12/0.39 ~spl0_15 | ~spl0_20),
% 0.12/0.39 inference(avatar_contradiction_clause,[],[f518])).
% 0.12/0.39 thf(f518,plain,(
% 0.12/0.39 $false | (~spl0_15 | ~spl0_20)),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f515])).
% 0.12/0.39 thf(f515,plain,(
% 0.12/0.39 ($false = $true) | (~spl0_15 | ~spl0_20)),
% 0.12/0.39 inference(superposition,[],[f393,f505])).
% 0.12/0.39 thf(f505,plain,(
% 0.12/0.39 ($false = (p @ sK3)) | ~spl0_20),
% 0.12/0.39 inference(avatar_component_clause,[],[f503])).
% 0.12/0.39 thf(f503,plain,(
% 0.12/0.39 spl0_20 <=> ($false = (p @ sK3))),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])).
% 0.12/0.39 thf(f393,plain,(
% 0.12/0.39 ((p @ sK3) = $true) | ~spl0_15),
% 0.12/0.39 inference(avatar_component_clause,[],[f391])).
% 0.12/0.39 thf(f511,plain,(
% 0.12/0.39 spl0_21 | spl0_20 | ~spl0_10),
% 0.12/0.39 inference(avatar_split_clause,[],[f446,f298,f503,f507])).
% 0.12/0.39 thf(f446,plain,(
% 0.12/0.39 ($false = (p @ sK3)) | ((q @ sK3) = $true) | ~spl0_10),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f442])).
% 0.12/0.39 thf(f442,plain,(
% 0.12/0.39 ($false = $true) | ($false = (p @ sK3)) | ((q @ sK3) = $true) | ~spl0_10),
% 0.12/0.39 inference(superposition,[],[f245,f300])).
% 0.12/0.39 thf(f245,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ((q @ X1) = $true) | ($false = (p @ X1))) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f244])).
% 0.12/0.39 thf(f244,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((~ (p @ X1)) = $true) | ((q @ X1) = $true) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f243])).
% 0.12/0.39 thf(f243,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (($true = ((q @ X1) | (~ (p @ X1)))) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f238])).
% 0.12/0.39 thf(f238,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((~ ((q @ X1) | (~ (p @ X1)))) = $false) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f237])).
% 0.12/0.39 thf(f237,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (($false = ((~ ((p @ X1) | (~ (q @ X1)))) | (~ ((q @ X1) | (~ (p @ X1)))))) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f236])).
% 0.12/0.39 thf(f236,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (($true = (~ ((~ ((p @ X1) | (~ (q @ X1)))) | (~ ((q @ X1) | (~ (p @ X1))))))) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f235])).
% 0.12/0.39 thf(f235,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((~ (rel_s5 @ sK1 @ X1)) = $true) | ($true = (~ ((~ ((p @ X1) | (~ (q @ X1)))) | (~ ((q @ X1) | (~ (p @ X1)))))))) )),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f234])).
% 0.12/0.39 thf(f234,plain,(
% 0.12/0.39 ( ! [X1 : $i] : ((((~ (rel_s5 @ sK1 @ X1)) | (~ ((~ ((p @ X1) | (~ (q @ X1)))) | (~ ((q @ X1) | (~ (p @ X1))))))) = $true)) )),
% 0.12/0.39 inference(beta_eta_normalization,[],[f233])).
% 0.12/0.39 thf(f233,plain,(
% 0.12/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ ((p @ Y0) | (~ (q @ Y0)))) | (~ ((q @ Y0) | (~ (p @ Y0)))))))) @ X1) = $true)) )),
% 0.12/0.39 inference(pi_clausification,[],[f232])).
% 0.12/0.39 thf(f232,plain,(
% 0.12/0.39 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ ((p @ Y0) | (~ (q @ Y0)))) | (~ ((q @ Y0) | (~ (p @ Y0))))))))) = $true)),
% 0.12/0.39 inference(not_proxy_clausification,[],[f174])).
% 0.12/0.39 thf(f174,plain,(
% 0.12/0.39 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ ((p @ Y0) | (~ (q @ Y0)))) | (~ ((q @ Y0) | (~ (p @ Y0)))))))))))),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f173])).
% 0.12/0.39 thf(f173,plain,(
% 0.12/0.39 (((~ ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0))))))) | (~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ ((p @ Y0) | (~ (q @ Y0)))) | (~ ((q @ Y0) | (~ (p @ Y0))))))))))) = $false)),
% 0.12/0.39 inference(beta_eta_normalization,[],[f172])).
% 0.12/0.39 thf(f172,plain,(
% 0.12/0.39 ($false = ((^[Y0 : $i]: ((~ ((~ ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1))))))) | (~ ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ ((~ ((p @ Y1) | (~ (q @ Y1)))) | (~ ((q @ Y1) | (~ (p @ Y1)))))))))))) @ sK1))),
% 0.12/0.39 inference(sigma_clausification,[],[f171])).
% 0.12/0.39 thf(f171,plain,(
% 0.12/0.39 ((!! @ $i @ (^[Y0 : $i]: ((~ ((~ ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1))))))) | (~ ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ ((~ ((p @ Y1) | (~ (q @ Y1)))) | (~ ((q @ Y1) | (~ (p @ Y1))))))))))))) != $true)),
% 0.12/0.39 inference(beta_eta_normalization,[],[f160])).
% 0.12/0.39 thf(f160,plain,(
% 0.12/0.39 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[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)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[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)))))) @ ((^[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)))) @ Y0 @ Y1) @ ((^[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)))) @ Y1 @ Y0))))) @ p @ q)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[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)))))) @ ((^[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)))) @ Y0 @ Y1) @ ((^[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)))) @ Y1 @ Y0))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ p) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ q)))) != $true)),
% 0.12/0.39 inference(definition_unfolding,[],[f146,f136,f149,f117,f151,f151,f117,f117])).
% 0.12/0.39 thf(f151,plain,(
% 0.12/0.39 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[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)))))) @ ((^[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)))) @ Y0 @ Y1) @ ((^[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)))) @ Y1 @ Y0))))))),
% 0.12/0.39 inference(definition_unfolding,[],[f123,f148,f149,f149])).
% 0.12/0.39 thf(f148,plain,(
% 0.12/0.39 (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)))))))),
% 0.12/0.39 inference(definition_unfolding,[],[f132,f135,f120,f135,f135])).
% 0.12/0.39 thf(f120,plain,(
% 0.12/0.39 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.12/0.39 inference(cnf_transformation,[],[f103])).
% 0.12/0.39 thf(f103,plain,(
% 0.12/0.39 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.12/0.39 inference(fool_elimination,[],[f102])).
% 0.12/0.39 thf(f102,plain,(
% 0.12/0.39 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.12/0.39 inference(rectify,[],[f4])).
% 0.12/0.39 thf(f4,axiom,(
% 0.12/0.39 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.12/0.39 thf(f135,plain,(
% 0.12/0.39 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.12/0.39 inference(cnf_transformation,[],[f59])).
% 0.12/0.39 thf(f59,plain,(
% 0.12/0.39 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.12/0.39 inference(fool_elimination,[],[f58])).
% 0.12/0.39 thf(f58,plain,(
% 0.12/0.39 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.12/0.39 inference(rectify,[],[f3])).
% 0.12/0.39 thf(f3,axiom,(
% 0.12/0.39 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.12/0.39 thf(f132,plain,(
% 0.12/0.39 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.12/0.39 inference(cnf_transformation,[],[f41])).
% 0.12/0.39 thf(f41,plain,(
% 0.12/0.39 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.12/0.39 inference(fool_elimination,[],[f40])).
% 0.12/0.39 thf(f40,plain,(
% 0.12/0.39 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 0.12/0.39 inference(rectify,[],[f5])).
% 0.12/0.39 thf(f5,axiom,(
% 0.12/0.39 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
% 0.12/0.39 thf(f123,plain,(
% 0.12/0.39 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ (mimplies @ Y0 @ Y1) @ (mimplies @ Y1 @ Y0))))))),
% 0.12/0.39 inference(cnf_transformation,[],[f77])).
% 0.12/0.39 thf(f77,plain,(
% 0.12/0.39 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ (mimplies @ Y0 @ Y1) @ (mimplies @ Y1 @ Y0))))))),
% 0.12/0.39 inference(fool_elimination,[],[f76])).
% 0.12/0.39 thf(f76,plain,(
% 0.12/0.39 ((^[X0 : $i > $o, X1 : $i > $o] : (mand @ (mimplies @ X0 @ X1) @ (mimplies @ X1 @ X0))) = mequiv)),
% 0.12/0.39 inference(rectify,[],[f8])).
% 0.12/0.39 thf(f8,axiom,(
% 0.12/0.39 ((^[X3 : $i > $o, X4 : $i > $o] : (mand @ (mimplies @ X3 @ X4) @ (mimplies @ X4 @ X3))) = mequiv)),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv)).
% 0.12/0.39 thf(f117,plain,(
% 0.12/0.39 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.12/0.39 inference(cnf_transformation,[],[f85])).
% 0.12/0.39 thf(f85,plain,(
% 0.12/0.39 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.12/0.39 inference(fool_elimination,[],[f84])).
% 0.12/0.39 thf(f84,plain,(
% 0.12/0.39 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s5 @ X1 @ X2)))) = mbox_s5)),
% 0.12/0.39 inference(rectify,[],[f32])).
% 0.12/0.39 thf(f32,axiom,(
% 0.12/0.39 ((^[X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(rel_s5 @ X2 @ X7)))) = mbox_s5)),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_s5)).
% 0.12/0.39 thf(f149,plain,(
% 0.12/0.39 (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)))))),
% 0.12/0.39 inference(definition_unfolding,[],[f138,f120,f135])).
% 0.12/0.39 thf(f138,plain,(
% 0.12/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.12/0.39 inference(cnf_transformation,[],[f83])).
% 0.12/0.39 thf(f83,plain,(
% 0.12/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.12/0.39 inference(fool_elimination,[],[f82])).
% 0.12/0.39 thf(f82,plain,(
% 0.12/0.39 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.12/0.39 inference(rectify,[],[f6])).
% 0.12/0.39 thf(f6,axiom,(
% 0.12/0.39 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 0.12/0.39 thf(f136,plain,(
% 0.12/0.39 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.12/0.39 inference(cnf_transformation,[],[f45])).
% 0.12/0.39 thf(f45,plain,(
% 0.12/0.39 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.12/0.39 inference(fool_elimination,[],[f44])).
% 0.12/0.39 thf(f44,plain,(
% 0.12/0.39 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.12/0.39 inference(rectify,[],[f28])).
% 0.12/0.39 thf(f28,axiom,(
% 0.12/0.39 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.12/0.39 thf(f146,plain,(
% 0.12/0.39 ((mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q)))) != $true)),
% 0.12/0.39 inference(cnf_transformation,[],[f110])).
% 0.12/0.39 thf(f110,plain,(
% 0.12/0.39 ((mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q)))) != $true)),
% 0.12/0.39 inference(flattening,[],[f75])).
% 0.12/0.39 thf(f75,plain,(
% 0.12/0.39 ~((mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q)))) = $true)),
% 0.12/0.39 inference(fool_elimination,[],[f74])).
% 0.12/0.39 thf(f74,plain,(
% 0.12/0.39 ~(mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q))))),
% 0.12/0.39 inference(rectify,[],[f38])).
% 0.12/0.39 thf(f38,negated_conjecture,(
% 0.12/0.39 ~(mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q))))),
% 0.12/0.39 inference(negated_conjecture,[],[f37])).
% 0.12/0.39 thf(f37,conjecture,(
% 0.12/0.39 (mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q))))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove)).
% 0.12/0.39 thf(f501,plain,(
% 0.12/0.39 spl0_16 | spl0_17 | ~spl0_8),
% 0.12/0.39 inference(avatar_split_clause,[],[f464,f288,f487,f483])).
% 0.12/0.39 thf(f464,plain,(
% 0.12/0.39 ($false = (p @ sK4)) | ((q @ sK4) = $true) | ~spl0_8),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f452])).
% 0.12/0.39 thf(f452,plain,(
% 0.12/0.39 ($false = (p @ sK4)) | ((q @ sK4) = $true) | ($false = $true) | ~spl0_8),
% 0.12/0.39 inference(superposition,[],[f290,f245])).
% 0.12/0.39 thf(f437,plain,(
% 0.12/0.39 ~spl0_5 | ~spl0_13),
% 0.12/0.39 inference(avatar_contradiction_clause,[],[f436])).
% 0.12/0.39 thf(f436,plain,(
% 0.12/0.39 $false | (~spl0_5 | ~spl0_13)),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f433])).
% 0.12/0.39 thf(f433,plain,(
% 0.12/0.39 ($false = $true) | (~spl0_5 | ~spl0_13)),
% 0.12/0.39 inference(superposition,[],[f275,f342])).
% 0.12/0.39 thf(f342,plain,(
% 0.12/0.39 ((p @ sK2) = $true) | ~spl0_13),
% 0.12/0.39 inference(avatar_component_clause,[],[f340])).
% 0.12/0.39 thf(f275,plain,(
% 0.12/0.39 ((p @ sK2) = $false) | ~spl0_5),
% 0.12/0.39 inference(avatar_component_clause,[],[f273])).
% 0.12/0.39 thf(f273,plain,(
% 0.12/0.39 spl0_5 <=> ((p @ sK2) = $false)),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.12/0.39 thf(f431,plain,(
% 0.12/0.39 spl0_14 | spl0_13 | ~spl0_6),
% 0.12/0.39 inference(avatar_split_clause,[],[f421,f278,f340,f344])).
% 0.12/0.39 thf(f344,plain,(
% 0.12/0.39 spl0_14 <=> ($false = (q @ sK2))),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
% 0.12/0.39 thf(f421,plain,(
% 0.12/0.39 ((p @ sK2) = $true) | ($false = (q @ sK2)) | ~spl0_6),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f405])).
% 0.12/0.39 thf(f405,plain,(
% 0.12/0.39 ($false = $true) | ((p @ sK2) = $true) | ($false = (q @ sK2)) | ~spl0_6),
% 0.12/0.39 inference(superposition,[],[f280,f242])).
% 0.12/0.39 thf(f242,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ((q @ X1) = $false) | ($true = (p @ X1))) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f241])).
% 0.12/0.39 thf(f241,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ((~ (q @ X1)) = $true) | ($true = (p @ X1))) )),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f240])).
% 0.12/0.39 thf(f240,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | (((p @ X1) | (~ (q @ X1))) = $true)) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f239])).
% 0.12/0.39 thf(f239,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ((~ ((p @ X1) | (~ (q @ X1)))) = $false)) )),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f237])).
% 0.12/0.39 thf(f429,plain,(
% 0.12/0.39 ~spl0_2 | ~spl0_6 | ~spl0_14),
% 0.12/0.39 inference(avatar_contradiction_clause,[],[f428])).
% 0.12/0.39 thf(f428,plain,(
% 0.12/0.39 $false | (~spl0_2 | ~spl0_6 | ~spl0_14)),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f424])).
% 0.12/0.39 thf(f424,plain,(
% 0.12/0.39 ($false = $true) | (~spl0_2 | ~spl0_6 | ~spl0_14)),
% 0.12/0.39 inference(superposition,[],[f418,f346])).
% 0.12/0.39 thf(f346,plain,(
% 0.12/0.39 ($false = (q @ sK2)) | ~spl0_14),
% 0.12/0.39 inference(avatar_component_clause,[],[f344])).
% 0.12/0.39 thf(f418,plain,(
% 0.12/0.39 ((q @ sK2) = $true) | (~spl0_2 | ~spl0_6)),
% 0.12/0.39 inference(trivial_inequality_removal,[],[f406])).
% 0.12/0.39 thf(f406,plain,(
% 0.12/0.39 ($false = $true) | ((q @ sK2) = $true) | (~spl0_2 | ~spl0_6)),
% 0.12/0.39 inference(superposition,[],[f280,f260])).
% 0.12/0.39 thf(f260,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ((q @ X1) = $true)) ) | ~spl0_2),
% 0.12/0.39 inference(avatar_component_clause,[],[f259])).
% 0.12/0.39 thf(f259,plain,(
% 0.12/0.39 spl0_2 <=> ! [X1] : (((rel_s5 @ sK1 @ X1) = $false) | ((q @ X1) = $true))),
% 0.12/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.12/0.39 thf(f301,plain,(
% 0.12/0.39 spl0_10 | spl0_6),
% 0.12/0.39 inference(avatar_split_clause,[],[f193,f278,f298])).
% 0.12/0.39 thf(f193,plain,(
% 0.12/0.39 ($true = (rel_s5 @ sK1 @ sK3)) | ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.12/0.39 inference(not_proxy_clausification,[],[f192])).
% 0.12/0.39 thf(f192,plain,(
% 0.12/0.39 ($false = (~ (rel_s5 @ sK1 @ sK3))) | ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f190])).
% 0.12/0.39 thf(f190,plain,(
% 0.12/0.39 ($false = ((~ (rel_s5 @ sK1 @ sK3)) | (q @ sK3))) | ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.12/0.39 inference(not_proxy_clausification,[],[f189])).
% 0.12/0.39 thf(f189,plain,(
% 0.12/0.39 ($false = (~ (rel_s5 @ sK1 @ sK2))) | ($false = ((~ (rel_s5 @ sK1 @ sK3)) | (q @ sK3)))),
% 0.12/0.39 inference(beta_eta_normalization,[],[f188])).
% 0.12/0.39 thf(f188,plain,(
% 0.12/0.39 ($false = ((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0))) @ sK3)) | ($false = (~ (rel_s5 @ sK1 @ sK2)))),
% 0.12/0.39 inference(sigma_clausification,[],[f187])).
% 0.12/0.39 thf(f187,plain,(
% 0.12/0.39 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) = $false) | ($false = (~ (rel_s5 @ sK1 @ sK2)))),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f185])).
% 0.12/0.39 thf(f185,plain,(
% 0.12/0.39 (((~ (rel_s5 @ sK1 @ sK2)) | (p @ sK2)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) = $false)),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f183])).
% 0.12/0.39 thf(f183,plain,(
% 0.12/0.39 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))) | (((~ (rel_s5 @ sK1 @ sK2)) | (p @ sK2)) = $false)),
% 0.12/0.39 inference(beta_eta_normalization,[],[f182])).
% 0.12/0.39 thf(f182,plain,(
% 0.12/0.39 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))) | ($false = ((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))) @ sK2))),
% 0.12/0.39 inference(sigma_clausification,[],[f181])).
% 0.12/0.39 thf(f181,plain,(
% 0.12/0.39 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0)))))))),
% 0.12/0.39 inference(not_proxy_clausification,[],[f180])).
% 0.12/0.39 thf(f180,plain,(
% 0.12/0.39 ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0)))))),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f178])).
% 0.12/0.39 thf(f178,plain,(
% 0.12/0.39 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0))))))) | ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))) = $true)),
% 0.12/0.39 inference(not_proxy_clausification,[],[f177])).
% 0.12/0.39 thf(f177,plain,(
% 0.12/0.39 ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0))))))) = $true) | ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))) = $true)),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f176])).
% 0.12/0.39 thf(f176,plain,(
% 0.12/0.39 (((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0))))))) | (~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0)))))))) = $true)),
% 0.12/0.39 inference(not_proxy_clausification,[],[f175])).
% 0.12/0.39 thf(f175,plain,(
% 0.12/0.39 ($false = (~ ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0))))))) | (~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))))))),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f173])).
% 0.12/0.39 thf(f296,plain,(
% 0.12/0.39 spl0_6 | spl0_9),
% 0.12/0.39 inference(avatar_split_clause,[],[f191,f293,f278])).
% 0.12/0.39 thf(f191,plain,(
% 0.12/0.39 ((rel_s5 @ sK1 @ sK2) = $true) | ((q @ sK3) = $false)),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f190])).
% 0.12/0.39 thf(f291,plain,(
% 0.12/0.39 spl0_8 | spl0_5),
% 0.12/0.39 inference(avatar_split_clause,[],[f198,f273,f288])).
% 0.12/0.39 thf(f198,plain,(
% 0.12/0.39 ((rel_s5 @ sK1 @ sK4) = $true) | ((p @ sK2) = $false)),
% 0.12/0.39 inference(not_proxy_clausification,[],[f197])).
% 0.12/0.39 thf(f197,plain,(
% 0.12/0.39 ((p @ sK2) = $false) | ((~ (rel_s5 @ sK1 @ sK4)) = $false)),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f195])).
% 0.12/0.39 thf(f195,plain,(
% 0.12/0.39 ((p @ sK2) = $false) | (((~ (rel_s5 @ sK1 @ sK4)) | (q @ sK4)) = $false)),
% 0.12/0.39 inference(beta_eta_normalization,[],[f194])).
% 0.12/0.39 thf(f194,plain,(
% 0.12/0.39 (((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0))) @ sK4) = $false) | ((p @ sK2) = $false)),
% 0.12/0.39 inference(sigma_clausification,[],[f186])).
% 0.12/0.39 thf(f186,plain,(
% 0.12/0.39 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) = $false) | ((p @ sK2) = $false)),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f185])).
% 0.12/0.39 thf(f286,plain,(
% 0.12/0.39 spl0_5 | spl0_7),
% 0.12/0.39 inference(avatar_split_clause,[],[f196,f283,f273])).
% 0.12/0.39 thf(f196,plain,(
% 0.12/0.39 ($false = (q @ sK4)) | ((p @ sK2) = $false)),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f195])).
% 0.12/0.39 thf(f281,plain,(
% 0.12/0.39 spl0_6 | spl0_1),
% 0.12/0.39 inference(avatar_split_clause,[],[f206,f256,f278])).
% 0.12/0.39 thf(f206,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ sK2) = $true) | ($true = (p @ X1)) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f205])).
% 0.12/0.39 thf(f205,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (($true = (p @ X1)) | ((~ (rel_s5 @ sK1 @ X1)) = $true) | ((rel_s5 @ sK1 @ sK2) = $true)) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f204])).
% 0.12/0.39 thf(f204,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (($false = (~ (rel_s5 @ sK1 @ sK2))) | ($true = (p @ X1)) | ((~ (rel_s5 @ sK1 @ X1)) = $true)) )),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f203])).
% 0.12/0.39 thf(f203,plain,(
% 0.12/0.39 ( ! [X1 : $i] : ((((~ (rel_s5 @ sK1 @ X1)) | (p @ X1)) = $true) | ($false = (~ (rel_s5 @ sK1 @ sK2)))) )),
% 0.12/0.39 inference(beta_eta_normalization,[],[f202])).
% 0.12/0.39 thf(f202,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (($false = (~ (rel_s5 @ sK1 @ sK2))) | (((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))) @ X1) = $true)) )),
% 0.12/0.39 inference(pi_clausification,[],[f201])).
% 0.12/0.39 thf(f201,plain,(
% 0.12/0.39 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))) | ($false = (~ (rel_s5 @ sK1 @ sK2)))),
% 0.12/0.39 inference(not_proxy_clausification,[],[f200])).
% 0.12/0.39 thf(f200,plain,(
% 0.12/0.39 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0)))))) | ($false = (~ (rel_s5 @ sK1 @ sK2)))),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f184])).
% 0.12/0.39 thf(f184,plain,(
% 0.12/0.39 (((~ (rel_s5 @ sK1 @ sK2)) | (p @ sK2)) = $false) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f183])).
% 0.12/0.39 thf(f276,plain,(
% 0.12/0.39 spl0_1 | spl0_5),
% 0.12/0.39 inference(avatar_split_clause,[],[f211,f273,f256])).
% 0.12/0.39 thf(f211,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (($true = (p @ X1)) | ((p @ sK2) = $false) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f210])).
% 0.12/0.39 thf(f210,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((~ (rel_s5 @ sK1 @ X1)) = $true) | ($true = (p @ X1)) | ((p @ sK2) = $false)) )),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f209])).
% 0.12/0.39 thf(f209,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((p @ sK2) = $false) | (((~ (rel_s5 @ sK1 @ X1)) | (p @ X1)) = $true)) )),
% 0.12/0.39 inference(beta_eta_normalization,[],[f208])).
% 0.12/0.39 thf(f208,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((p @ sK2) = $false) | (((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))) @ X1) = $true)) )),
% 0.12/0.39 inference(pi_clausification,[],[f207])).
% 0.12/0.39 thf(f207,plain,(
% 0.12/0.39 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))) | ((p @ sK2) = $false)),
% 0.12/0.39 inference(not_proxy_clausification,[],[f199])).
% 0.12/0.39 thf(f199,plain,(
% 0.12/0.39 ((p @ sK2) = $false) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f184])).
% 0.12/0.39 thf(f261,plain,(
% 0.12/0.39 spl0_1 | spl0_2),
% 0.12/0.39 inference(avatar_split_clause,[],[f231,f259,f256])).
% 0.12/0.39 thf(f231,plain,(
% 0.12/0.39 ( ! [X2 : $i,X1 : $i] : (((p @ X2) = $true) | ($false = (rel_s5 @ sK1 @ X2)) | ((rel_s5 @ sK1 @ X1) = $false) | ((q @ X1) = $true)) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f230])).
% 0.12/0.39 thf(f230,plain,(
% 0.12/0.39 ( ! [X2 : $i,X1 : $i] : (((q @ X1) = $true) | ($false = (rel_s5 @ sK1 @ X2)) | ((~ (rel_s5 @ sK1 @ X1)) = $true) | ((p @ X2) = $true)) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f229])).
% 0.12/0.39 thf(f229,plain,(
% 0.12/0.39 ( ! [X2 : $i,X1 : $i] : (((~ (rel_s5 @ sK1 @ X2)) = $true) | ((p @ X2) = $true) | ((~ (rel_s5 @ sK1 @ X1)) = $true) | ((q @ X1) = $true)) )),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f228])).
% 0.12/0.39 thf(f228,plain,(
% 0.12/0.39 ( ! [X2 : $i,X1 : $i] : ((((~ (rel_s5 @ sK1 @ X2)) | (p @ X2)) = $true) | ((q @ X1) = $true) | ((~ (rel_s5 @ sK1 @ X1)) = $true)) )),
% 0.12/0.39 inference(beta_eta_normalization,[],[f227])).
% 0.12/0.39 thf(f227,plain,(
% 0.12/0.39 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))) @ X2) = $true) | ((q @ X1) = $true) | ((~ (rel_s5 @ sK1 @ X1)) = $true)) )),
% 0.12/0.39 inference(pi_clausification,[],[f226])).
% 0.12/0.39 thf(f226,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))) | ((~ (rel_s5 @ sK1 @ X1)) = $true) | ((q @ X1) = $true)) )),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f225])).
% 0.12/0.39 thf(f225,plain,(
% 0.12/0.39 ( ! [X1 : $i] : ((((~ (rel_s5 @ sK1 @ X1)) | (q @ X1)) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0)))))) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f216])).
% 0.12/0.39 thf(f216,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0)))))) | (((~ (rel_s5 @ sK1 @ X1)) | (q @ X1)) = $true)) )),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f215])).
% 0.12/0.39 thf(f215,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))) | (((~ (rel_s5 @ sK1 @ X1)) | (q @ X1)) = $true)) )),
% 0.12/0.39 inference(not_proxy_clausification,[],[f214])).
% 0.12/0.39 thf(f214,plain,(
% 0.12/0.39 ( ! [X1 : $i] : (((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))) = $true) | (((~ (rel_s5 @ sK1 @ X1)) | (q @ X1)) = $true)) )),
% 0.12/0.39 inference(beta_eta_normalization,[],[f213])).
% 0.12/0.39 thf(f213,plain,(
% 0.12/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0))) @ X1) = $true) | ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))) = $true)) )),
% 0.12/0.39 inference(pi_clausification,[],[f212])).
% 0.12/0.39 thf(f212,plain,(
% 0.12/0.39 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) = $true) | ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))) = $true)),
% 0.12/0.39 inference(not_proxy_clausification,[],[f179])).
% 0.12/0.39 thf(f179,plain,(
% 0.12/0.39 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))))) | ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (p @ Y0))))))) = $true)),
% 0.12/0.39 inference(binary_proxy_clausification,[],[f178])).
% 0.12/0.39 % SZS output end Proof for theBenchmark
% 0.12/0.39 % (22079)------------------------------
% 0.12/0.39 % (22079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (22079)Termination reason: Refutation
% 0.12/0.39
% 0.12/0.39 % (22079)Memory used [KB]: 5884
% 0.12/0.39 % (22079)Time elapsed: 0.027 s
% 0.12/0.39 % (22079)Instructions burned: 31 (million)
% 0.12/0.39 % (22079)------------------------------
% 0.12/0.39 % (22079)------------------------------
% 0.12/0.39 % (22076)Success in time 0.024 s
% 0.12/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------