TSTP Solution File: LCL866^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL866^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% 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 : n017.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 00:23:32 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL866^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% 0.08/0.15 % 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
% 0.15/0.35 % Computer : n017.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 03:10:38 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/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 % (27894)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.38 % (27895)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.38 % (27896)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (27893)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38 % (27898)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.38 % (27896)Instruction limit reached!
% 0.15/0.38 % (27896)------------------------------
% 0.15/0.38 % (27896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (27896)Termination reason: Unknown
% 0.15/0.38 % (27896)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (27896)Memory used [KB]: 1023
% 0.15/0.38 % (27896)Time elapsed: 0.003 s
% 0.15/0.38 % (27896)Instructions burned: 2 (million)
% 0.15/0.38 % (27896)------------------------------
% 0.15/0.38 % (27896)------------------------------
% 0.15/0.38 % (27899)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38 % (27894)Instruction limit reached!
% 0.15/0.38 % (27894)------------------------------
% 0.15/0.38 % (27894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (27894)Termination reason: Unknown
% 0.15/0.38 % (27894)Termination phase: Naming
% 0.15/0.38
% 0.15/0.38 % (27894)Memory used [KB]: 1023
% 0.15/0.38 % (27894)Time elapsed: 0.005 s
% 0.15/0.38 % (27894)Instructions burned: 5 (million)
% 0.15/0.38 % (27894)------------------------------
% 0.15/0.38 % (27894)------------------------------
% 0.15/0.39 % (27897)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (27897)Instruction limit reached!
% 0.15/0.39 % (27897)------------------------------
% 0.15/0.39 % (27897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (27897)Termination reason: Unknown
% 0.15/0.39 % (27897)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (27897)Memory used [KB]: 1023
% 0.15/0.39 % (27897)Time elapsed: 0.003 s
% 0.15/0.39 % (27897)Instructions burned: 2 (million)
% 0.15/0.39 % (27897)------------------------------
% 0.15/0.39 % (27897)------------------------------
% 0.15/0.39 % (27899)Instruction limit reached!
% 0.15/0.39 % (27899)------------------------------
% 0.15/0.39 % (27899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (27899)Termination reason: Unknown
% 0.15/0.39 % (27899)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (27899)Memory used [KB]: 5628
% 0.15/0.39 % (27899)Time elapsed: 0.012 s
% 0.15/0.39 % (27899)Instructions burned: 19 (million)
% 0.15/0.39 % (27899)------------------------------
% 0.15/0.39 % (27899)------------------------------
% 0.15/0.39 % (27900)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.39 % (27900)Instruction limit reached!
% 0.15/0.39 % (27900)------------------------------
% 0.15/0.39 % (27900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (27900)Termination reason: Unknown
% 0.15/0.39 % (27900)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (27900)Memory used [KB]: 1023
% 0.15/0.39 % (27900)Time elapsed: 0.004 s
% 0.15/0.39 % (27900)Instructions burned: 4 (million)
% 0.15/0.39 % (27900)------------------------------
% 0.15/0.39 % (27900)------------------------------
% 0.15/0.39 % (27895)Instruction limit reached!
% 0.15/0.39 % (27895)------------------------------
% 0.15/0.39 % (27895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (27895)Termination reason: Unknown
% 0.15/0.39 % (27895)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (27895)Memory used [KB]: 5756
% 0.15/0.39 % (27895)Time elapsed: 0.018 s
% 0.15/0.39 % (27895)Instructions burned: 27 (million)
% 0.15/0.39 % (27895)------------------------------
% 0.15/0.39 % (27895)------------------------------
% 0.15/0.39 % (27901)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)
% 0.15/0.40 % (27902)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)
% 0.15/0.40 % (27893)First to succeed.
% 0.15/0.40 % (27902)Instruction limit reached!
% 0.15/0.40 % (27902)------------------------------
% 0.15/0.40 % (27902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (27902)Termination reason: Unknown
% 0.15/0.40 % (27902)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (27902)Memory used [KB]: 5628
% 0.15/0.40 % (27902)Time elapsed: 0.010 s
% 0.15/0.40 % (27902)Instructions burned: 15 (million)
% 0.15/0.40 % (27902)------------------------------
% 0.15/0.40 % (27902)------------------------------
% 0.15/0.40 % (27904)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)
% 0.22/0.41 % (27893)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% 0.22/0.41 thf(type_def_5, type, mu: $tType).
% 0.22/0.41 thf(func_def_0, type, mu: $tType).
% 0.22/0.41 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.41 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.41 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.41 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.41 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.41 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.41 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.41 thf(func_def_48, type, sK0: $i > $i > $o).
% 0.22/0.41 thf(f568,plain,(
% 0.22/0.41 $false),
% 0.22/0.41 inference(avatar_sat_refutation,[],[f298,f303,f308,f313,f318,f323,f328,f329,f330,f335,f340,f345,f346,f347,f348,f349,f350,f351,f359,f373,f445,f496,f540,f566])).
% 0.22/0.41 thf(f566,plain,(
% 0.22/0.41 ~spl1_3 | ~spl1_4 | ~spl1_5 | ~spl1_14),
% 0.22/0.41 inference(avatar_contradiction_clause,[],[f565])).
% 0.22/0.41 thf(f565,plain,(
% 0.22/0.41 $false | (~spl1_3 | ~spl1_4 | ~spl1_5 | ~spl1_14)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f557])).
% 0.22/0.41 thf(f557,plain,(
% 0.22/0.41 ($true = $false) | (~spl1_3 | ~spl1_4 | ~spl1_5 | ~spl1_14)),
% 0.22/0.41 inference(superposition,[],[f307,f548])).
% 0.22/0.41 thf(f548,plain,(
% 0.22/0.41 ((sK0 @ sK11 @ sK6) = $false) | (~spl1_3 | ~spl1_4 | ~spl1_14)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f545])).
% 0.22/0.41 thf(f545,plain,(
% 0.22/0.41 ($true = $false) | ((sK0 @ sK11 @ sK6) = $false) | (~spl1_3 | ~spl1_4 | ~spl1_14)),
% 0.22/0.41 inference(superposition,[],[f302,f456])).
% 0.22/0.41 thf(f456,plain,(
% 0.22/0.41 ( ! [X0 : $i] : (((sK0 @ X0 @ sK7) = $false) | ((sK0 @ X0 @ sK6) = $false)) ) | (~spl1_3 | ~spl1_14)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f452])).
% 0.22/0.41 thf(f452,plain,(
% 0.22/0.41 ( ! [X0 : $i] : (((sK0 @ X0 @ sK6) = $false) | ((sK0 @ X0 @ sK7) = $false) | ($true = $false)) ) | (~spl1_3 | ~spl1_14)),
% 0.22/0.41 inference(superposition,[],[f357,f297])).
% 0.22/0.41 thf(f297,plain,(
% 0.22/0.41 ($false = (sK0 @ sK7 @ sK6)) | ~spl1_3),
% 0.22/0.41 inference(avatar_component_clause,[],[f295])).
% 0.22/0.41 thf(f295,plain,(
% 0.22/0.41 spl1_3 <=> ($false = (sK0 @ sK7 @ sK6))),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.22/0.41 thf(f357,plain,(
% 0.22/0.41 ( ! [X1 : $i,X6 : $i,X4 : $i] : (($true = (sK0 @ X4 @ X1)) | ((sK0 @ X6 @ X1) = $false) | ((sK0 @ X6 @ X4) = $false)) ) | ~spl1_14),
% 0.22/0.41 inference(avatar_component_clause,[],[f356])).
% 0.22/0.41 thf(f356,plain,(
% 0.22/0.41 spl1_14 <=> ! [X6,X4,X1] : (((sK0 @ X6 @ X4) = $false) | ((sK0 @ X6 @ X1) = $false) | ($true = (sK0 @ X4 @ X1)))),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])).
% 0.22/0.41 thf(f302,plain,(
% 0.22/0.41 ($true = (sK0 @ sK11 @ sK7)) | ~spl1_4),
% 0.22/0.41 inference(avatar_component_clause,[],[f300])).
% 0.22/0.41 thf(f300,plain,(
% 0.22/0.41 spl1_4 <=> ($true = (sK0 @ sK11 @ sK7))),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
% 0.22/0.41 thf(f307,plain,(
% 0.22/0.41 ($true = (sK0 @ sK11 @ sK6)) | ~spl1_5),
% 0.22/0.41 inference(avatar_component_clause,[],[f305])).
% 0.22/0.41 thf(f305,plain,(
% 0.22/0.41 spl1_5 <=> ($true = (sK0 @ sK11 @ sK6))),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
% 0.22/0.41 thf(f540,plain,(
% 0.22/0.41 ~spl1_3 | ~spl1_7 | ~spl1_8 | ~spl1_14),
% 0.22/0.41 inference(avatar_contradiction_clause,[],[f539])).
% 0.22/0.41 thf(f539,plain,(
% 0.22/0.41 $false | (~spl1_3 | ~spl1_7 | ~spl1_8 | ~spl1_14)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f529])).
% 0.22/0.41 thf(f529,plain,(
% 0.22/0.41 ($true = $false) | (~spl1_3 | ~spl1_7 | ~spl1_8 | ~spl1_14)),
% 0.22/0.41 inference(superposition,[],[f512,f322])).
% 0.22/0.41 thf(f322,plain,(
% 0.22/0.41 ($true = (sK0 @ sK10 @ sK6)) | ~spl1_8),
% 0.22/0.41 inference(avatar_component_clause,[],[f320])).
% 0.22/0.41 thf(f320,plain,(
% 0.22/0.41 spl1_8 <=> ($true = (sK0 @ sK10 @ sK6))),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 0.22/0.41 thf(f512,plain,(
% 0.22/0.41 ((sK0 @ sK10 @ sK6) = $false) | (~spl1_3 | ~spl1_7 | ~spl1_14)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f509])).
% 0.22/0.41 thf(f509,plain,(
% 0.22/0.41 ((sK0 @ sK10 @ sK6) = $false) | ($true = $false) | (~spl1_3 | ~spl1_7 | ~spl1_14)),
% 0.22/0.41 inference(superposition,[],[f317,f456])).
% 0.22/0.41 thf(f317,plain,(
% 0.22/0.41 ($true = (sK0 @ sK10 @ sK7)) | ~spl1_7),
% 0.22/0.41 inference(avatar_component_clause,[],[f315])).
% 0.22/0.41 thf(f315,plain,(
% 0.22/0.41 spl1_7 <=> ($true = (sK0 @ sK10 @ sK7))),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
% 0.22/0.41 thf(f496,plain,(
% 0.22/0.41 ~spl1_3 | ~spl1_11 | ~spl1_12 | ~spl1_14),
% 0.22/0.41 inference(avatar_contradiction_clause,[],[f495])).
% 0.22/0.41 thf(f495,plain,(
% 0.22/0.41 $false | (~spl1_3 | ~spl1_11 | ~spl1_12 | ~spl1_14)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f486])).
% 0.22/0.41 thf(f486,plain,(
% 0.22/0.41 ($true = $false) | (~spl1_3 | ~spl1_11 | ~spl1_12 | ~spl1_14)),
% 0.22/0.41 inference(superposition,[],[f344,f481])).
% 0.22/0.41 thf(f481,plain,(
% 0.22/0.41 ((sK0 @ sK9 @ sK6) = $false) | (~spl1_3 | ~spl1_11 | ~spl1_14)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f476])).
% 0.22/0.41 thf(f476,plain,(
% 0.22/0.41 ($true = $false) | ((sK0 @ sK9 @ sK6) = $false) | (~spl1_3 | ~spl1_11 | ~spl1_14)),
% 0.22/0.41 inference(superposition,[],[f339,f456])).
% 0.22/0.41 thf(f339,plain,(
% 0.22/0.41 ($true = (sK0 @ sK9 @ sK7)) | ~spl1_11),
% 0.22/0.41 inference(avatar_component_clause,[],[f337])).
% 0.22/0.41 thf(f337,plain,(
% 0.22/0.41 spl1_11 <=> ($true = (sK0 @ sK9 @ sK7))),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])).
% 0.22/0.41 thf(f344,plain,(
% 0.22/0.41 ($true = (sK0 @ sK9 @ sK6)) | ~spl1_12),
% 0.22/0.41 inference(avatar_component_clause,[],[f342])).
% 0.22/0.41 thf(f342,plain,(
% 0.22/0.41 spl1_12 <=> ($true = (sK0 @ sK9 @ sK6))),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])).
% 0.22/0.41 thf(f445,plain,(
% 0.22/0.41 ~spl1_1 | ~spl1_6 | ~spl1_9 | ~spl1_14),
% 0.22/0.41 inference(avatar_contradiction_clause,[],[f444])).
% 0.22/0.41 thf(f444,plain,(
% 0.22/0.41 $false | (~spl1_1 | ~spl1_6 | ~spl1_9 | ~spl1_14)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f439])).
% 0.22/0.41 thf(f439,plain,(
% 0.22/0.41 ($true = $false) | (~spl1_1 | ~spl1_6 | ~spl1_9 | ~spl1_14)),
% 0.22/0.41 inference(superposition,[],[f327,f433])).
% 0.22/0.41 thf(f433,plain,(
% 0.22/0.41 ((sK0 @ sK3 @ sK8) = $false) | (~spl1_1 | ~spl1_6 | ~spl1_14)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f429])).
% 0.22/0.41 thf(f429,plain,(
% 0.22/0.41 ($true = $false) | ((sK0 @ sK3 @ sK8) = $false) | (~spl1_1 | ~spl1_6 | ~spl1_14)),
% 0.22/0.41 inference(superposition,[],[f426,f202])).
% 0.22/0.41 thf(f202,plain,(
% 0.22/0.41 ( ! [X2 : $i,X1 : $i] : (($true = (sK0 @ X2 @ X1)) | ((sK0 @ X1 @ X2) = $false)) )),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f201])).
% 0.22/0.41 thf(f201,plain,(
% 0.22/0.41 ( ! [X2 : $i,X1 : $i] : (($true = ((sK0 @ X1 @ X2) => (sK0 @ X2 @ X1)))) )),
% 0.22/0.41 inference(beta_eta_normalization,[],[f200])).
% 0.22/0.41 thf(f200,plain,(
% 0.22/0.41 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((sK0 @ X1 @ Y0) => (sK0 @ Y0 @ X1))) @ X2))) )),
% 0.22/0.41 inference(pi_clausification,[],[f199])).
% 0.22/0.41 thf(f199,plain,(
% 0.22/0.41 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X1 @ Y0) => (sK0 @ Y0 @ X1)))))) )),
% 0.22/0.41 inference(beta_eta_normalization,[],[f198])).
% 0.22/0.41 thf(f198,plain,(
% 0.22/0.41 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK0 @ Y1 @ Y0))))) @ X1))) )),
% 0.22/0.41 inference(pi_clausification,[],[f197])).
% 0.22/0.41 thf(f197,plain,(
% 0.22/0.41 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK0 @ Y1 @ Y0)))))))),
% 0.22/0.41 inference(beta_eta_normalization,[],[f196])).
% 0.22/0.41 thf(f196,plain,(
% 0.22/0.41 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))) @ sK0))),
% 0.22/0.41 inference(duplicate_literal_removal,[],[f149])).
% 0.22/0.41 thf(f149,plain,(
% 0.22/0.41 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))) @ sK0)) | ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))) @ sK0))),
% 0.22/0.41 inference(definition_unfolding,[],[f127,f118,f118])).
% 0.22/0.41 thf(f118,plain,(
% 0.22/0.41 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))))),
% 0.22/0.41 inference(cnf_transformation,[],[f65])).
% 0.22/0.41 thf(f65,plain,(
% 0.22/0.41 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))))),
% 0.22/0.41 inference(fool_elimination,[],[f64])).
% 0.22/0.41 thf(f64,plain,(
% 0.22/0.41 ((^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X2 @ X1) => (X0 @ X1 @ X2)))) = msymmetric)),
% 0.22/0.41 inference(rectify,[],[f19])).
% 0.22/0.41 thf(f19,axiom,(
% 0.22/0.41 ((^[X6 : $i > $i > $o] : (! [X9,X8] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))) = msymmetric)),
% 0.22/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric)).
% 0.22/0.41 thf(f127,plain,(
% 0.22/0.41 ($true = (msymmetric @ sK0)) | ($true = (msymmetric @ sK0))),
% 0.22/0.41 inference(cnf_transformation,[],[f99])).
% 0.22/0.41 thf(f99,plain,(
% 0.22/0.41 (($true != (msymmetric @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (mtransitive @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (msymmetric @ sK0))) & ((($true = (msymmetric @ sK0)) & ($true = (meuclidean @ sK0)) & ($true = (mtransitive @ sK0))) | (($true = (meuclidean @ sK0)) & ($true = (msymmetric @ sK0))))),
% 0.22/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f97,f98])).
% 0.22/0.41 thf(f98,plain,(
% 0.22/0.41 ? [X0 : $i > $i > $o] : ((($true != (msymmetric @ X0)) | ($true != (meuclidean @ X0)) | ($true != (mtransitive @ X0)) | ($true != (meuclidean @ X0)) | ($true != (msymmetric @ X0))) & ((($true = (msymmetric @ X0)) & ($true = (meuclidean @ X0)) & ($true = (mtransitive @ X0))) | (($true = (meuclidean @ X0)) & ($true = (msymmetric @ X0))))) => ((($true != (msymmetric @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (mtransitive @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (msymmetric @ sK0))) & ((($true = (msymmetric @ sK0)) & ($true = (meuclidean @ sK0)) & ($true = (mtransitive @ sK0))) | (($true = (meuclidean @ sK0)) & ($true = (msymmetric @ sK0)))))),
% 0.22/0.41 introduced(choice_axiom,[])).
% 0.22/0.41 thf(f97,plain,(
% 0.22/0.41 ? [X0 : $i > $i > $o] : ((($true != (msymmetric @ X0)) | ($true != (meuclidean @ X0)) | ($true != (mtransitive @ X0)) | ($true != (meuclidean @ X0)) | ($true != (msymmetric @ X0))) & ((($true = (msymmetric @ X0)) & ($true = (meuclidean @ X0)) & ($true = (mtransitive @ X0))) | (($true = (meuclidean @ X0)) & ($true = (msymmetric @ X0)))))),
% 0.22/0.41 inference(flattening,[],[f96])).
% 0.22/0.41 thf(f96,plain,(
% 0.22/0.41 ? [X0 : $i > $i > $o] : (((($true != (msymmetric @ X0)) | ($true != (meuclidean @ X0)) | ($true != (mtransitive @ X0))) | (($true != (meuclidean @ X0)) | ($true != (msymmetric @ X0)))) & ((($true = (msymmetric @ X0)) & ($true = (meuclidean @ X0)) & ($true = (mtransitive @ X0))) | (($true = (meuclidean @ X0)) & ($true = (msymmetric @ X0)))))),
% 0.22/0.41 inference(nnf_transformation,[],[f95])).
% 0.22/0.41 thf(f95,plain,(
% 0.22/0.41 ? [X0 : $i > $i > $o] : ((($true = (meuclidean @ X0)) & ($true = (msymmetric @ X0))) <~> (($true = (msymmetric @ X0)) & ($true = (meuclidean @ X0)) & ($true = (mtransitive @ X0))))),
% 0.22/0.41 inference(ennf_transformation,[],[f59])).
% 0.22/0.41 thf(f59,plain,(
% 0.22/0.41 ~! [X0 : $i > $i > $o] : ((($true = (meuclidean @ X0)) & ($true = (msymmetric @ X0))) <=> (($true = (msymmetric @ X0)) & ($true = (meuclidean @ X0)) & ($true = (mtransitive @ X0))))),
% 0.22/0.41 inference(fool_elimination,[],[f58])).
% 0.22/0.41 thf(f58,plain,(
% 0.22/0.41 ~! [X0 : $i > $i > $o] : (((msymmetric @ X0) & (meuclidean @ X0)) <=> ((mtransitive @ X0) & (meuclidean @ X0) & (msymmetric @ X0)))),
% 0.22/0.41 inference(rectify,[],[f33])).
% 0.22/0.41 thf(f33,negated_conjecture,(
% 0.22/0.41 ~! [X6 : $i > $i > $o] : (((msymmetric @ X6) & (meuclidean @ X6)) <=> ((mtransitive @ X6) & (meuclidean @ X6) & (msymmetric @ X6)))),
% 0.22/0.41 inference(negated_conjecture,[],[f32])).
% 0.22/0.41 thf(f32,conjecture,(
% 0.22/0.41 ! [X6 : $i > $i > $o] : (((msymmetric @ X6) & (meuclidean @ X6)) <=> ((mtransitive @ X6) & (meuclidean @ X6) & (msymmetric @ X6)))),
% 0.22/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.22/0.41 thf(f426,plain,(
% 0.22/0.41 ((sK0 @ sK8 @ sK3) = $false) | (~spl1_1 | ~spl1_6 | ~spl1_14)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f421])).
% 0.22/0.41 thf(f421,plain,(
% 0.22/0.41 ($true = $false) | ((sK0 @ sK8 @ sK3) = $false) | (~spl1_1 | ~spl1_6 | ~spl1_14)),
% 0.22/0.41 inference(superposition,[],[f312,f406])).
% 0.22/0.41 thf(f406,plain,(
% 0.22/0.41 ( ! [X0 : $i] : (((sK0 @ X0 @ sK4) = $false) | ((sK0 @ X0 @ sK3) = $false)) ) | (~spl1_1 | ~spl1_14)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f393])).
% 0.22/0.41 thf(f393,plain,(
% 0.22/0.41 ( ! [X0 : $i] : (((sK0 @ X0 @ sK3) = $false) | ((sK0 @ X0 @ sK4) = $false) | ($true = $false)) ) | (~spl1_1 | ~spl1_14)),
% 0.22/0.41 inference(superposition,[],[f378,f357])).
% 0.22/0.41 thf(f378,plain,(
% 0.22/0.41 ((sK0 @ sK4 @ sK3) = $false) | ~spl1_1),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f376])).
% 0.22/0.41 thf(f376,plain,(
% 0.22/0.41 ($true = $false) | ((sK0 @ sK4 @ sK3) = $false) | ~spl1_1),
% 0.22/0.41 inference(superposition,[],[f202,f289])).
% 0.22/0.41 thf(f289,plain,(
% 0.22/0.41 ((sK0 @ sK3 @ sK4) = $false) | ~spl1_1),
% 0.22/0.41 inference(avatar_component_clause,[],[f287])).
% 0.22/0.41 thf(f287,plain,(
% 0.22/0.41 spl1_1 <=> ((sK0 @ sK3 @ sK4) = $false)),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.22/0.41 thf(f312,plain,(
% 0.22/0.41 ($true = (sK0 @ sK8 @ sK4)) | ~spl1_6),
% 0.22/0.41 inference(avatar_component_clause,[],[f310])).
% 0.22/0.41 thf(f310,plain,(
% 0.22/0.41 spl1_6 <=> ($true = (sK0 @ sK8 @ sK4))),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
% 0.22/0.41 thf(f327,plain,(
% 0.22/0.41 ($true = (sK0 @ sK3 @ sK8)) | ~spl1_9),
% 0.22/0.41 inference(avatar_component_clause,[],[f325])).
% 0.22/0.41 thf(f325,plain,(
% 0.22/0.41 spl1_9 <=> ($true = (sK0 @ sK3 @ sK8))),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
% 0.22/0.41 thf(f373,plain,(
% 0.22/0.41 ~spl1_2 | ~spl1_10),
% 0.22/0.41 inference(avatar_contradiction_clause,[],[f372])).
% 0.22/0.41 thf(f372,plain,(
% 0.22/0.41 $false | (~spl1_2 | ~spl1_10)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f365])).
% 0.22/0.41 thf(f365,plain,(
% 0.22/0.41 ($true = $false) | (~spl1_2 | ~spl1_10)),
% 0.22/0.41 inference(superposition,[],[f364,f334])).
% 0.22/0.41 thf(f334,plain,(
% 0.22/0.41 ($true = (sK0 @ sK2 @ sK5)) | ~spl1_10),
% 0.22/0.41 inference(avatar_component_clause,[],[f332])).
% 0.22/0.41 thf(f332,plain,(
% 0.22/0.41 spl1_10 <=> ($true = (sK0 @ sK2 @ sK5))),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
% 0.22/0.41 thf(f364,plain,(
% 0.22/0.41 ((sK0 @ sK2 @ sK5) = $false) | ~spl1_2),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f361])).
% 0.22/0.41 thf(f361,plain,(
% 0.22/0.41 ($true = $false) | ((sK0 @ sK2 @ sK5) = $false) | ~spl1_2),
% 0.22/0.41 inference(superposition,[],[f293,f202])).
% 0.22/0.41 thf(f293,plain,(
% 0.22/0.41 ((sK0 @ sK5 @ sK2) = $false) | ~spl1_2),
% 0.22/0.41 inference(avatar_component_clause,[],[f291])).
% 0.22/0.41 thf(f291,plain,(
% 0.22/0.41 spl1_2 <=> ((sK0 @ sK5 @ sK2) = $false)),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.22/0.41 thf(f359,plain,(
% 0.22/0.41 spl1_14),
% 0.22/0.41 inference(avatar_split_clause,[],[f212,f356])).
% 0.22/0.41 thf(f212,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((sK0 @ X3 @ X1) = $false) | ($true = (sK0 @ X2 @ X1)) | ($false = (sK0 @ X3 @ X2))) )),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f211])).
% 0.22/0.41 thf(f211,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (sK0 @ X2 @ X1)) | (((sK0 @ X3 @ X1) & (sK0 @ X3 @ X2)) = $false)) )),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f210])).
% 0.22/0.41 thf(f210,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((sK0 @ X3 @ X1) & (sK0 @ X3 @ X2)) => (sK0 @ X2 @ X1)))) )),
% 0.22/0.41 inference(beta_eta_normalization,[],[f209])).
% 0.22/0.41 thf(f209,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((sK0 @ Y0 @ X1) & (sK0 @ Y0 @ X2)) => (sK0 @ X2 @ X1))) @ X3))) )),
% 0.22/0.41 inference(pi_clausification,[],[f208])).
% 0.22/0.41 thf(f208,plain,(
% 0.22/0.41 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ X1) & (sK0 @ Y0 @ X2)) => (sK0 @ X2 @ X1)))))) )),
% 0.22/0.41 inference(beta_eta_normalization,[],[f207])).
% 0.22/0.41 thf(f207,plain,(
% 0.22/0.41 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ X1) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y0 @ X1))))) @ X2))) )),
% 0.22/0.41 inference(pi_clausification,[],[f206])).
% 0.22/0.41 thf(f206,plain,(
% 0.22/0.41 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ X1) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y0 @ X1)))))))) )),
% 0.22/0.41 inference(beta_eta_normalization,[],[f205])).
% 0.22/0.41 thf(f205,plain,(
% 0.22/0.41 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0))))))) @ X1))) )),
% 0.22/0.41 inference(pi_clausification,[],[f204])).
% 0.22/0.41 thf(f204,plain,(
% 0.22/0.41 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0)))))))))),
% 0.22/0.41 inference(beta_eta_normalization,[],[f203])).
% 0.22/0.41 thf(f203,plain,(
% 0.22/0.41 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y2 @ Y1))))))))) @ sK0))),
% 0.22/0.41 inference(duplicate_literal_removal,[],[f150])).
% 0.22/0.41 thf(f150,plain,(
% 0.22/0.41 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y2 @ Y1))))))))) @ sK0)) | ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y2 @ Y1))))))))) @ sK0))),
% 0.22/0.41 inference(definition_unfolding,[],[f126,f116,f116])).
% 0.22/0.41 thf(f116,plain,(
% 0.22/0.41 (meuclidean = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y2 @ Y1))))))))))),
% 0.22/0.41 inference(cnf_transformation,[],[f61])).
% 0.22/0.41 thf(f61,plain,(
% 0.22/0.41 (meuclidean = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y2 @ Y1))))))))))),
% 0.22/0.41 inference(fool_elimination,[],[f60])).
% 0.22/0.41 thf(f60,plain,(
% 0.22/0.41 (meuclidean = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X1 @ X2) & (X0 @ X1 @ X3)) => (X0 @ X2 @ X3)))))),
% 0.22/0.41 inference(rectify,[],[f22])).
% 0.22/0.41 thf(f22,axiom,(
% 0.22/0.41 (meuclidean = (^[X6 : $i > $i > $o] : (! [X8,X9,X10] : (((X6 @ X8 @ X9) & (X6 @ X8 @ X10)) => (X6 @ X9 @ X10)))))),
% 0.22/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meuclidean)).
% 0.22/0.41 thf(f126,plain,(
% 0.22/0.41 ($true = (meuclidean @ sK0)) | ($true = (meuclidean @ sK0))),
% 0.22/0.41 inference(cnf_transformation,[],[f99])).
% 0.22/0.41 thf(f351,plain,(
% 0.22/0.41 spl1_9 | spl1_10 | spl1_12),
% 0.22/0.41 inference(avatar_split_clause,[],[f257,f342,f332,f325])).
% 0.22/0.41 thf(f257,plain,(
% 0.22/0.41 ($true = (sK0 @ sK9 @ sK6)) | ($true = (sK0 @ sK2 @ sK5)) | ($true = (sK0 @ sK3 @ sK8))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f255])).
% 0.22/0.41 thf(f255,plain,(
% 0.22/0.41 ($true = ((sK0 @ sK9 @ sK6) & (sK0 @ sK9 @ sK7))) | ($true = (sK0 @ sK2 @ sK5)) | ($true = (sK0 @ sK3 @ sK8))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f253])).
% 0.22/0.41 thf(f253,plain,(
% 0.22/0.41 ($true = ((sK0 @ sK3 @ sK8) & (sK0 @ sK8 @ sK4))) | ($true = ((sK0 @ sK9 @ sK6) & (sK0 @ sK9 @ sK7))) | ($true = (sK0 @ sK2 @ sK5))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f251])).
% 0.22/0.41 thf(f251,plain,(
% 0.22/0.41 ($true = (sK0 @ sK2 @ sK5)) | ((((sK0 @ sK9 @ sK6) & (sK0 @ sK9 @ sK7)) => (sK0 @ sK7 @ sK6)) = $false) | ($true = ((sK0 @ sK3 @ sK8) & (sK0 @ sK8 @ sK4)))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f249])).
% 0.22/0.41 thf(f249,plain,(
% 0.22/0.41 ($true = (sK0 @ sK2 @ sK5)) | ((((sK0 @ sK3 @ sK8) & (sK0 @ sK8 @ sK4)) => (sK0 @ sK3 @ sK4)) = $false) | ((((sK0 @ sK9 @ sK6) & (sK0 @ sK9 @ sK7)) => (sK0 @ sK7 @ sK6)) = $false)),
% 0.22/0.41 inference(beta_eta_normalization,[],[f248])).
% 0.22/0.41 thf(f248,plain,(
% 0.22/0.41 (((^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ Y0 @ sK7)) => (sK0 @ sK7 @ sK6))) @ sK9) = $false) | ((((sK0 @ sK3 @ sK8) & (sK0 @ sK8 @ sK4)) => (sK0 @ sK3 @ sK4)) = $false) | ($true = (sK0 @ sK2 @ sK5))),
% 0.22/0.41 inference(sigma_clausification,[],[f247])).
% 0.22/0.41 thf(f247,plain,(
% 0.22/0.41 ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ Y0 @ sK7)) => (sK0 @ sK7 @ sK6)))) = $false) | ((((sK0 @ sK3 @ sK8) & (sK0 @ sK8 @ sK4)) => (sK0 @ sK3 @ sK4)) = $false) | ($true = (sK0 @ sK2 @ sK5))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f245])).
% 0.22/0.41 thf(f245,plain,(
% 0.22/0.41 (((sK0 @ sK2 @ sK5) => (sK0 @ sK5 @ sK2)) = $false) | ((((sK0 @ sK3 @ sK8) & (sK0 @ sK8 @ sK4)) => (sK0 @ sK3 @ sK4)) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ Y0 @ sK7)) => (sK0 @ sK7 @ sK6)))) = $false)),
% 0.22/0.41 inference(beta_eta_normalization,[],[f244])).
% 0.22/0.41 thf(f244,plain,(
% 0.22/0.41 ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ Y0 @ sK7)) => (sK0 @ sK7 @ sK6)))) = $false) | (((^[Y0 : $i]: (((sK0 @ sK3 @ Y0) & (sK0 @ Y0 @ sK4)) => (sK0 @ sK3 @ sK4))) @ sK8) = $false) | (((sK0 @ sK2 @ sK5) => (sK0 @ sK5 @ sK2)) = $false)),
% 0.22/0.41 inference(sigma_clausification,[],[f243])).
% 0.22/0.41 thf(f243,plain,(
% 0.22/0.41 ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ Y0) & (sK0 @ Y0 @ sK4)) => (sK0 @ sK3 @ sK4)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ Y0 @ sK7)) => (sK0 @ sK7 @ sK6)))) = $false) | (((sK0 @ sK2 @ sK5) => (sK0 @ sK5 @ sK2)) = $false)),
% 0.22/0.41 inference(beta_eta_normalization,[],[f242])).
% 0.22/0.41 thf(f242,plain,(
% 0.22/0.41 ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ Y0) & (sK0 @ Y0 @ sK4)) => (sK0 @ sK3 @ sK4)))) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ sK6) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y0 @ sK6))))) @ sK7) = $false) | (((sK0 @ sK2 @ sK5) => (sK0 @ sK5 @ sK2)) = $false)),
% 0.22/0.41 inference(sigma_clausification,[],[f241])).
% 0.22/0.41 thf(f241,plain,(
% 0.22/0.41 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ sK6) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y0 @ sK6)))))) = $false) | (((sK0 @ sK2 @ sK5) => (sK0 @ sK5 @ sK2)) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ Y0) & (sK0 @ Y0 @ sK4)) => (sK0 @ sK3 @ sK4)))) = $false)),
% 0.22/0.41 inference(beta_eta_normalization,[],[f240])).
% 0.22/0.41 thf(f240,plain,(
% 0.22/0.41 (((sK0 @ sK2 @ sK5) => (sK0 @ sK5 @ sK2)) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0))))))) @ sK6) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ Y0) & (sK0 @ Y0 @ sK4)) => (sK0 @ sK3 @ sK4)))) = $false)),
% 0.22/0.41 inference(sigma_clausification,[],[f239])).
% 0.22/0.41 thf(f239,plain,(
% 0.22/0.41 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0))))))))) | (((sK0 @ sK2 @ sK5) => (sK0 @ sK5 @ sK2)) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ Y0) & (sK0 @ Y0 @ sK4)) => (sK0 @ sK3 @ sK4)))) = $false)),
% 0.22/0.41 inference(beta_eta_normalization,[],[f238])).
% 0.22/0.41 thf(f238,plain,(
% 0.22/0.41 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0))))))))) | (((^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (sK0 @ Y0 @ sK2))) @ sK5) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ Y0) & (sK0 @ Y0 @ sK4)) => (sK0 @ sK3 @ sK4)))) = $false)),
% 0.22/0.41 inference(sigma_clausification,[],[f237])).
% 0.22/0.41 thf(f237,plain,(
% 0.22/0.41 ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (sK0 @ Y0 @ sK2)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK3 @ Y0) & (sK0 @ Y0 @ sK4)) => (sK0 @ sK3 @ sK4)))) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0)))))))))),
% 0.22/0.41 inference(beta_eta_normalization,[],[f236])).
% 0.22/0.41 thf(f236,plain,(
% 0.22/0.41 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK3 @ Y1) & (sK0 @ Y1 @ Y0)) => (sK0 @ sK3 @ Y0))))) @ sK4) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (sK0 @ Y0 @ sK2)))) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0)))))))))),
% 0.22/0.41 inference(sigma_clausification,[],[f235])).
% 0.22/0.41 thf(f235,plain,(
% 0.22/0.41 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK3 @ Y1) & (sK0 @ Y1 @ Y0)) => (sK0 @ sK3 @ Y0))))))) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0))))))))) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (sK0 @ Y0 @ sK2)))) = $false)),
% 0.22/0.41 inference(beta_eta_normalization,[],[f234])).
% 0.22/0.41 thf(f234,plain,(
% 0.22/0.41 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0))))))))) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (sK0 @ Y0 @ sK2)))) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y2) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y0 @ Y1))))))) @ sK3) = $false)),
% 0.22/0.41 inference(sigma_clausification,[],[f233])).
% 0.22/0.41 thf(f233,plain,(
% 0.22/0.41 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y2) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y0 @ Y1))))))))) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0))))))))) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (sK0 @ Y0 @ sK2)))) = $false)),
% 0.22/0.41 inference(beta_eta_normalization,[],[f232])).
% 0.22/0.41 thf(f232,plain,(
% 0.22/0.41 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK0 @ Y1 @ Y0))))) @ sK2)) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0))))))))) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y2) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y0 @ Y1)))))))))),
% 0.22/0.41 inference(sigma_clausification,[],[f231])).
% 0.22/0.41 thf(f231,plain,(
% 0.22/0.41 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK0 @ Y1 @ Y0))))))) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y2) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y0 @ Y1))))))))) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y1 @ Y0)))))))))),
% 0.22/0.41 inference(beta_eta_normalization,[],[f230])).
% 0.22/0.41 thf(f230,plain,(
% 0.22/0.41 ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y2 @ Y1))))))))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))) @ sK0))),
% 0.22/0.41 inference(duplicate_literal_removal,[],[f147])).
% 0.22/0.41 thf(f147,plain,(
% 0.22/0.41 ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y2 @ Y1))))))))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y2 @ Y1))))))))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))) @ sK0))),
% 0.22/0.41 inference(definition_unfolding,[],[f129,f118,f116,f102,f116,f118])).
% 0.22/0.41 thf(f102,plain,(
% 0.22/0.41 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))))),
% 0.22/0.41 inference(cnf_transformation,[],[f88])).
% 0.22/0.41 thf(f88,plain,(
% 0.22/0.41 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))))),
% 0.22/0.41 inference(fool_elimination,[],[f87])).
% 0.22/0.41 thf(f87,plain,(
% 0.22/0.41 ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X1 @ X2) & (X0 @ X3 @ X1)) => (X0 @ X3 @ X2)))) = mtransitive)),
% 0.22/0.41 inference(rectify,[],[f21])).
% 0.22/0.41 thf(f21,axiom,(
% 0.22/0.41 ((^[X6 : $i > $i > $o] : (! [X9,X10,X8] : (((X6 @ X9 @ X10) & (X6 @ X8 @ X9)) => (X6 @ X8 @ X10)))) = mtransitive)),
% 0.22/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive)).
% 0.22/0.41 thf(f129,plain,(
% 0.22/0.41 ($true != (msymmetric @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (mtransitive @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (msymmetric @ sK0))),
% 0.22/0.41 inference(cnf_transformation,[],[f99])).
% 0.22/0.41 thf(f350,plain,(
% 0.22/0.41 spl1_9 | spl1_11 | spl1_10),
% 0.22/0.41 inference(avatar_split_clause,[],[f256,f332,f337,f325])).
% 0.22/0.41 thf(f256,plain,(
% 0.22/0.41 ($true = (sK0 @ sK2 @ sK5)) | ($true = (sK0 @ sK3 @ sK8)) | ($true = (sK0 @ sK9 @ sK7))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f255])).
% 0.22/0.41 thf(f349,plain,(
% 0.22/0.41 spl1_6 | spl1_12 | spl1_10),
% 0.22/0.41 inference(avatar_split_clause,[],[f259,f332,f342,f310])).
% 0.22/0.41 thf(f259,plain,(
% 0.22/0.41 ($true = (sK0 @ sK8 @ sK4)) | ($true = (sK0 @ sK9 @ sK6)) | ($true = (sK0 @ sK2 @ sK5))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f254])).
% 0.22/0.41 thf(f254,plain,(
% 0.22/0.41 ($true = (sK0 @ sK8 @ sK4)) | ($true = (sK0 @ sK2 @ sK5)) | ($true = ((sK0 @ sK9 @ sK6) & (sK0 @ sK9 @ sK7)))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f253])).
% 0.22/0.41 thf(f348,plain,(
% 0.22/0.41 spl1_11 | spl1_10 | spl1_6),
% 0.22/0.41 inference(avatar_split_clause,[],[f258,f310,f332,f337])).
% 0.22/0.41 thf(f258,plain,(
% 0.22/0.41 ($true = (sK0 @ sK8 @ sK4)) | ($true = (sK0 @ sK9 @ sK7)) | ($true = (sK0 @ sK2 @ sK5))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f254])).
% 0.22/0.41 thf(f347,plain,(
% 0.22/0.41 spl1_9 | spl1_3 | spl1_10),
% 0.22/0.41 inference(avatar_split_clause,[],[f261,f332,f295,f325])).
% 0.22/0.41 thf(f261,plain,(
% 0.22/0.41 ($true = (sK0 @ sK3 @ sK8)) | ($true = (sK0 @ sK2 @ sK5)) | ($false = (sK0 @ sK7 @ sK6))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f252])).
% 0.22/0.41 thf(f252,plain,(
% 0.22/0.41 ($true = (sK0 @ sK2 @ sK5)) | ($true = ((sK0 @ sK3 @ sK8) & (sK0 @ sK8 @ sK4))) | ($false = (sK0 @ sK7 @ sK6))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f251])).
% 0.22/0.41 thf(f346,plain,(
% 0.22/0.41 spl1_6 | spl1_10 | spl1_3),
% 0.22/0.41 inference(avatar_split_clause,[],[f260,f295,f332,f310])).
% 0.22/0.41 thf(f260,plain,(
% 0.22/0.41 ($true = (sK0 @ sK2 @ sK5)) | ($false = (sK0 @ sK7 @ sK6)) | ($true = (sK0 @ sK8 @ sK4))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f252])).
% 0.22/0.41 thf(f345,plain,(
% 0.22/0.41 spl1_12 | spl1_10 | spl1_1),
% 0.22/0.41 inference(avatar_split_clause,[],[f265,f287,f332,f342])).
% 0.22/0.41 thf(f265,plain,(
% 0.22/0.41 ($true = (sK0 @ sK2 @ sK5)) | ($true = (sK0 @ sK9 @ sK6)) | ((sK0 @ sK3 @ sK4) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f263])).
% 0.22/0.41 thf(f263,plain,(
% 0.22/0.41 ($true = ((sK0 @ sK9 @ sK6) & (sK0 @ sK9 @ sK7))) | ($true = (sK0 @ sK2 @ sK5)) | ((sK0 @ sK3 @ sK4) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f250])).
% 0.22/0.41 thf(f250,plain,(
% 0.22/0.41 ((sK0 @ sK3 @ sK4) = $false) | ((((sK0 @ sK9 @ sK6) & (sK0 @ sK9 @ sK7)) => (sK0 @ sK7 @ sK6)) = $false) | ($true = (sK0 @ sK2 @ sK5))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f249])).
% 0.22/0.41 thf(f340,plain,(
% 0.22/0.41 spl1_1 | spl1_10 | spl1_11),
% 0.22/0.41 inference(avatar_split_clause,[],[f264,f337,f332,f287])).
% 0.22/0.41 thf(f264,plain,(
% 0.22/0.41 ($true = (sK0 @ sK2 @ sK5)) | ($true = (sK0 @ sK9 @ sK7)) | ((sK0 @ sK3 @ sK4) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f263])).
% 0.22/0.41 thf(f335,plain,(
% 0.22/0.41 spl1_1 | spl1_10 | spl1_3),
% 0.22/0.41 inference(avatar_split_clause,[],[f262,f295,f332,f287])).
% 0.22/0.41 thf(f262,plain,(
% 0.22/0.41 ($false = (sK0 @ sK7 @ sK6)) | ($true = (sK0 @ sK2 @ sK5)) | ((sK0 @ sK3 @ sK4) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f250])).
% 0.22/0.41 thf(f330,plain,(
% 0.22/0.41 spl1_8 | spl1_9 | spl1_2),
% 0.22/0.41 inference(avatar_split_clause,[],[f275,f291,f325,f320])).
% 0.22/0.41 thf(f275,plain,(
% 0.22/0.41 ((sK0 @ sK5 @ sK2) = $false) | ($true = (sK0 @ sK10 @ sK6)) | ($true = (sK0 @ sK3 @ sK8))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f273])).
% 0.22/0.41 thf(f273,plain,(
% 0.22/0.41 ($true = (sK0 @ sK3 @ sK8)) | ($true = ((sK0 @ sK10 @ sK6) & (sK0 @ sK10 @ sK7))) | ((sK0 @ sK5 @ sK2) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f271])).
% 0.22/0.41 thf(f271,plain,(
% 0.22/0.41 ((((sK0 @ sK10 @ sK6) & (sK0 @ sK10 @ sK7)) => (sK0 @ sK7 @ sK6)) = $false) | ((sK0 @ sK5 @ sK2) = $false) | ($true = (sK0 @ sK3 @ sK8))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f269])).
% 0.22/0.41 thf(f269,plain,(
% 0.22/0.41 ((sK0 @ sK5 @ sK2) = $false) | ($true = ((sK0 @ sK3 @ sK8) & (sK0 @ sK8 @ sK4))) | ((((sK0 @ sK10 @ sK6) & (sK0 @ sK10 @ sK7)) => (sK0 @ sK7 @ sK6)) = $false)),
% 0.22/0.41 inference(beta_eta_normalization,[],[f268])).
% 0.22/0.41 thf(f268,plain,(
% 0.22/0.41 ($true = ((sK0 @ sK3 @ sK8) & (sK0 @ sK8 @ sK4))) | ((sK0 @ sK5 @ sK2) = $false) | (((^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ Y0 @ sK7)) => (sK0 @ sK7 @ sK6))) @ sK10) = $false)),
% 0.22/0.41 inference(sigma_clausification,[],[f267])).
% 0.22/0.41 thf(f267,plain,(
% 0.22/0.41 ((sK0 @ sK5 @ sK2) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ Y0 @ sK7)) => (sK0 @ sK7 @ sK6)))) = $false) | ($true = ((sK0 @ sK3 @ sK8) & (sK0 @ sK8 @ sK4)))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f246])).
% 0.22/0.41 thf(f246,plain,(
% 0.22/0.41 ((sK0 @ sK5 @ sK2) = $false) | ((((sK0 @ sK3 @ sK8) & (sK0 @ sK8 @ sK4)) => (sK0 @ sK3 @ sK4)) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ Y0 @ sK7)) => (sK0 @ sK7 @ sK6)))) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f245])).
% 0.22/0.41 thf(f329,plain,(
% 0.22/0.41 spl1_9 | spl1_7 | spl1_2),
% 0.22/0.41 inference(avatar_split_clause,[],[f274,f291,f315,f325])).
% 0.22/0.41 thf(f274,plain,(
% 0.22/0.41 ($true = (sK0 @ sK10 @ sK7)) | ($true = (sK0 @ sK3 @ sK8)) | ((sK0 @ sK5 @ sK2) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f273])).
% 0.22/0.41 thf(f328,plain,(
% 0.22/0.41 spl1_3 | spl1_2 | spl1_9),
% 0.22/0.41 inference(avatar_split_clause,[],[f272,f325,f291,f295])).
% 0.22/0.41 thf(f272,plain,(
% 0.22/0.41 ((sK0 @ sK5 @ sK2) = $false) | ($true = (sK0 @ sK3 @ sK8)) | ($false = (sK0 @ sK7 @ sK6))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f271])).
% 0.22/0.41 thf(f323,plain,(
% 0.22/0.41 spl1_8 | spl1_2 | spl1_6),
% 0.22/0.41 inference(avatar_split_clause,[],[f279,f310,f291,f320])).
% 0.22/0.41 thf(f279,plain,(
% 0.22/0.41 ((sK0 @ sK5 @ sK2) = $false) | ($true = (sK0 @ sK8 @ sK4)) | ($true = (sK0 @ sK10 @ sK6))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f277])).
% 0.22/0.41 thf(f277,plain,(
% 0.22/0.41 ($true = (sK0 @ sK8 @ sK4)) | ((sK0 @ sK5 @ sK2) = $false) | ($true = ((sK0 @ sK10 @ sK6) & (sK0 @ sK10 @ sK7)))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f270])).
% 0.22/0.41 thf(f270,plain,(
% 0.22/0.41 ($true = (sK0 @ sK8 @ sK4)) | ((((sK0 @ sK10 @ sK6) & (sK0 @ sK10 @ sK7)) => (sK0 @ sK7 @ sK6)) = $false) | ((sK0 @ sK5 @ sK2) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f269])).
% 0.22/0.41 thf(f318,plain,(
% 0.22/0.41 spl1_7 | spl1_2 | spl1_6),
% 0.22/0.41 inference(avatar_split_clause,[],[f278,f310,f291,f315])).
% 0.22/0.41 thf(f278,plain,(
% 0.22/0.41 ($true = (sK0 @ sK8 @ sK4)) | ((sK0 @ sK5 @ sK2) = $false) | ($true = (sK0 @ sK10 @ sK7))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f277])).
% 0.22/0.41 thf(f313,plain,(
% 0.22/0.41 spl1_6 | spl1_2 | spl1_3),
% 0.22/0.41 inference(avatar_split_clause,[],[f276,f295,f291,f310])).
% 0.22/0.41 thf(f276,plain,(
% 0.22/0.41 ($false = (sK0 @ sK7 @ sK6)) | ((sK0 @ sK5 @ sK2) = $false) | ($true = (sK0 @ sK8 @ sK4))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f270])).
% 0.22/0.41 thf(f308,plain,(
% 0.22/0.41 spl1_2 | spl1_5 | spl1_1),
% 0.22/0.41 inference(avatar_split_clause,[],[f285,f287,f305,f291])).
% 0.22/0.41 thf(f285,plain,(
% 0.22/0.41 ($true = (sK0 @ sK11 @ sK6)) | ((sK0 @ sK3 @ sK4) = $false) | ((sK0 @ sK5 @ sK2) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f283])).
% 0.22/0.41 thf(f283,plain,(
% 0.22/0.41 ($true = ((sK0 @ sK11 @ sK6) & (sK0 @ sK11 @ sK7))) | ((sK0 @ sK5 @ sK2) = $false) | ((sK0 @ sK3 @ sK4) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f281])).
% 0.22/0.41 thf(f281,plain,(
% 0.22/0.41 ((sK0 @ sK5 @ sK2) = $false) | ((((sK0 @ sK11 @ sK6) & (sK0 @ sK11 @ sK7)) => (sK0 @ sK7 @ sK6)) = $false) | ((sK0 @ sK3 @ sK4) = $false)),
% 0.22/0.41 inference(beta_eta_normalization,[],[f280])).
% 0.22/0.41 thf(f280,plain,(
% 0.22/0.41 ((sK0 @ sK5 @ sK2) = $false) | ((sK0 @ sK3 @ sK4) = $false) | (((^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ Y0 @ sK7)) => (sK0 @ sK7 @ sK6))) @ sK11) = $false)),
% 0.22/0.41 inference(sigma_clausification,[],[f266])).
% 0.22/0.41 thf(f266,plain,(
% 0.22/0.41 ((sK0 @ sK5 @ sK2) = $false) | ((sK0 @ sK3 @ sK4) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK6) & (sK0 @ Y0 @ sK7)) => (sK0 @ sK7 @ sK6)))) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f246])).
% 0.22/0.41 thf(f303,plain,(
% 0.22/0.41 spl1_1 | spl1_2 | spl1_4),
% 0.22/0.41 inference(avatar_split_clause,[],[f284,f300,f291,f287])).
% 0.22/0.41 thf(f284,plain,(
% 0.22/0.41 ((sK0 @ sK3 @ sK4) = $false) | ((sK0 @ sK5 @ sK2) = $false) | ($true = (sK0 @ sK11 @ sK7))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f283])).
% 0.22/0.41 thf(f298,plain,(
% 0.22/0.41 spl1_1 | spl1_2 | spl1_3),
% 0.22/0.41 inference(avatar_split_clause,[],[f282,f295,f291,f287])).
% 0.22/0.41 thf(f282,plain,(
% 0.22/0.41 ((sK0 @ sK5 @ sK2) = $false) | ($false = (sK0 @ sK7 @ sK6)) | ((sK0 @ sK3 @ sK4) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f281])).
% 0.22/0.41 % SZS output end Proof for theBenchmark
% 0.22/0.41 % (27893)------------------------------
% 0.22/0.41 % (27893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (27893)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (27893)Memory used [KB]: 5884
% 0.22/0.41 % (27893)Time elapsed: 0.029 s
% 0.22/0.41 % (27893)Instructions burned: 35 (million)
% 0.22/0.41 % (27893)------------------------------
% 0.22/0.41 % (27893)------------------------------
% 0.22/0.41 % (27892)Success in time 0.04 s
% 0.22/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------