TSTP Solution File: LCL860^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL860^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 00:23:31 EDT 2024
% Result : Theorem 0.24s 0.44s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : LCL860^1 : TPTP v8.2.0. Bugfixed v5.0.0.
% 0.13/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.38 % Computer : n018.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Mon May 20 00:50:38 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.38 This is a TH0_THM_EQU_NAR problem
% 0.15/0.38 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % (11288)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)
% 0.15/0.40 % (11290)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)
% 0.15/0.40 % (11287)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)
% 0.15/0.40 % (11285)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)
% 0.15/0.40 % (11287)Instruction limit reached!
% 0.15/0.40 % (11287)------------------------------
% 0.15/0.40 % (11287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (11287)Termination reason: Unknown
% 0.15/0.40 % (11283)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.40 % (11287)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (11287)Memory used [KB]: 1023
% 0.15/0.40 % (11287)Time elapsed: 0.003 s
% 0.15/0.40 % (11287)Instructions burned: 3 (million)
% 0.15/0.40 % (11287)------------------------------
% 0.15/0.40 % (11287)------------------------------
% 0.15/0.40 % (11284)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)
% 0.15/0.40 % (11290)Instruction limit reached!
% 0.15/0.40 % (11290)------------------------------
% 0.15/0.40 % (11290)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (11289)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.40 % (11290)Termination reason: Unknown
% 0.15/0.40 % (11290)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (11290)Memory used [KB]: 1023
% 0.15/0.40 % (11290)Time elapsed: 0.003 s
% 0.15/0.40 % (11290)Instructions burned: 4 (million)
% 0.15/0.40 % (11290)------------------------------
% 0.15/0.40 % (11290)------------------------------
% 0.15/0.40 % (11286)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40 % (11286)Instruction limit reached!
% 0.15/0.40 % (11286)------------------------------
% 0.15/0.40 % (11286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (11286)Termination reason: Unknown
% 0.15/0.40 % (11286)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (11286)Memory used [KB]: 1023
% 0.15/0.40 % (11286)Time elapsed: 0.003 s
% 0.15/0.40 % (11286)Instructions burned: 2 (million)
% 0.15/0.40 % (11286)------------------------------
% 0.15/0.40 % (11286)------------------------------
% 0.15/0.40 % (11284)Instruction limit reached!
% 0.15/0.40 % (11284)------------------------------
% 0.15/0.40 % (11284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (11284)Termination reason: Unknown
% 0.15/0.40 % (11284)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (11284)Memory used [KB]: 1023
% 0.15/0.40 % (11284)Time elapsed: 0.004 s
% 0.15/0.40 % (11284)Instructions burned: 4 (million)
% 0.15/0.40 % (11284)------------------------------
% 0.15/0.40 % (11284)------------------------------
% 0.15/0.41 % (11289)Instruction limit reached!
% 0.15/0.41 % (11289)------------------------------
% 0.15/0.41 % (11289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (11289)Termination reason: Unknown
% 0.15/0.41 % (11289)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (11289)Memory used [KB]: 5628
% 0.15/0.41 % (11289)Time elapsed: 0.010 s
% 0.15/0.41 % (11289)Instructions burned: 18 (million)
% 0.15/0.41 % (11289)------------------------------
% 0.15/0.41 % (11289)------------------------------
% 0.15/0.41 % (11285)Instruction limit reached!
% 0.15/0.41 % (11285)------------------------------
% 0.15/0.41 % (11285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (11285)Termination reason: Unknown
% 0.15/0.41 % (11285)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (11285)Memory used [KB]: 5756
% 0.15/0.41 % (11285)Time elapsed: 0.015 s
% 0.15/0.41 % (11285)Instructions burned: 27 (million)
% 0.15/0.41 % (11285)------------------------------
% 0.15/0.41 % (11285)------------------------------
% 0.15/0.41 % (11291)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)
% 0.15/0.42 % (11293)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)
% 0.15/0.42 % (11293)Instruction limit reached!
% 0.15/0.42 % (11293)------------------------------
% 0.15/0.42 % (11293)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (11293)Termination reason: Unknown
% 0.15/0.42 % (11293)Termination phase: shuffling
% 0.15/0.42
% 0.15/0.42 % (11293)Memory used [KB]: 1023
% 0.15/0.42 % (11293)Time elapsed: 0.003 s
% 0.15/0.42 % (11293)Instructions burned: 4 (million)
% 0.15/0.42 % (11293)------------------------------
% 0.15/0.42 % (11293)------------------------------
% 0.15/0.42 % (11292)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)
% 0.15/0.42 % (11294)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)
% 0.15/0.42 % (11295)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.43 % (11292)Instruction limit reached!
% 0.15/0.43 % (11292)------------------------------
% 0.15/0.43 % (11292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (11292)Termination reason: Unknown
% 0.15/0.43 % (11292)Termination phase: Saturation
% 0.15/0.43
% 0.15/0.43 % (11292)Memory used [KB]: 5628
% 0.15/0.43 % (11292)Time elapsed: 0.010 s
% 0.15/0.43 % (11292)Instructions burned: 15 (million)
% 0.15/0.43 % (11292)------------------------------
% 0.15/0.43 % (11292)------------------------------
% 0.15/0.43 % (11295)Instruction limit reached!
% 0.15/0.43 % (11295)------------------------------
% 0.15/0.43 % (11295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (11295)Termination reason: Unknown
% 0.15/0.43 % (11295)Termination phase: Property scanning
% 0.15/0.43
% 0.15/0.43 % (11295)Memory used [KB]: 1023
% 0.15/0.43 % (11295)Time elapsed: 0.005 s
% 0.15/0.43 % (11295)Instructions burned: 7 (million)
% 0.15/0.43 % (11295)------------------------------
% 0.15/0.43 % (11295)------------------------------
% 0.15/0.43 % (11283)First to succeed.
% 0.15/0.43 % (11296)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.43 % (11297)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.43 % (11291)Instruction limit reached!
% 0.24/0.43 % (11291)------------------------------
% 0.24/0.43 % (11291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (11291)Termination reason: Unknown
% 0.24/0.43 % (11291)Termination phase: Saturation
% 0.24/0.43
% 0.24/0.43 % (11291)Memory used [KB]: 5628
% 0.24/0.43 % (11291)Time elapsed: 0.019 s
% 0.24/0.43 % (11291)Instructions burned: 38 (million)
% 0.24/0.43 % (11291)------------------------------
% 0.24/0.43 % (11291)------------------------------
% 0.24/0.43 % (11297)Instruction limit reached!
% 0.24/0.43 % (11297)------------------------------
% 0.24/0.43 % (11297)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (11297)Termination reason: Unknown
% 0.24/0.43 % (11297)Termination phase: shuffling
% 0.24/0.43
% 0.24/0.43 % (11297)Memory used [KB]: 1023
% 0.24/0.43 % (11297)Time elapsed: 0.003 s
% 0.24/0.43 % (11297)Instructions burned: 4 (million)
% 0.24/0.43 % (11297)------------------------------
% 0.24/0.43 % (11297)------------------------------
% 0.24/0.44 % (11288)Also succeeded, but the first one will report.
% 0.24/0.44 % (11283)Refutation found. Thanks to Tanya!
% 0.24/0.44 % SZS status Theorem for theBenchmark
% 0.24/0.44 % SZS output start Proof for theBenchmark
% 0.24/0.44 thf(type_def_5, type, mu: $tType).
% 0.24/0.44 thf(func_def_0, type, mu: $tType).
% 0.24/0.44 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.24/0.44 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_15, type, mtrue: $i > $o).
% 0.24/0.44 thf(func_def_16, type, mfalse: $i > $o).
% 0.24/0.44 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.24/0.44 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.24/0.44 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.24/0.44 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.24/0.44 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.24/0.44 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.24/0.44 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.24/0.44 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.24/0.44 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.24/0.44 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.24/0.44 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.24/0.44 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.24/0.44 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.24/0.44 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.24/0.44 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.24/0.44 thf(func_def_48, type, sK0: $i > $i > $o).
% 0.24/0.44 thf(f636,plain,(
% 0.24/0.44 $false),
% 0.24/0.44 inference(avatar_sat_refutation,[],[f313,f330,f335,f340,f345,f346,f347,f352,f353,f354,f367,f372,f377,f382,f387,f388,f389,f390,f391,f396,f409,f436,f466,f530,f606,f635])).
% 0.24/0.44 thf(f635,plain,(
% 0.24/0.44 ~spl1_2 | ~spl1_4 | ~spl1_9 | ~spl1_10),
% 0.24/0.44 inference(avatar_contradiction_clause,[],[f634])).
% 0.24/0.44 thf(f634,plain,(
% 0.24/0.44 $false | (~spl1_2 | ~spl1_4 | ~spl1_9 | ~spl1_10)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f626])).
% 0.24/0.44 thf(f626,plain,(
% 0.24/0.44 ($true = $false) | (~spl1_2 | ~spl1_4 | ~spl1_9 | ~spl1_10)),
% 0.24/0.44 inference(superposition,[],[f624,f351])).
% 0.24/0.44 thf(f351,plain,(
% 0.24/0.44 ($true = (sK0 @ sK11 @ sK5)) | ~spl1_10),
% 0.24/0.44 inference(avatar_component_clause,[],[f349])).
% 0.24/0.44 thf(f349,plain,(
% 0.24/0.44 spl1_10 <=> ($true = (sK0 @ sK11 @ sK5))),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
% 0.24/0.44 thf(f624,plain,(
% 0.24/0.44 ((sK0 @ sK11 @ sK5) = $false) | (~spl1_2 | ~spl1_4 | ~spl1_9)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f619])).
% 0.24/0.44 thf(f619,plain,(
% 0.24/0.44 ($true = $false) | ((sK0 @ sK11 @ sK5) = $false) | (~spl1_2 | ~spl1_4 | ~spl1_9)),
% 0.24/0.44 inference(superposition,[],[f344,f610])).
% 0.24/0.44 thf(f610,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK12) = $false) | ((sK0 @ X0 @ sK5) = $false)) ) | (~spl1_2 | ~spl1_4)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f607])).
% 0.24/0.44 thf(f607,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK12) = $false) | ($true = $false) | ((sK0 @ X0 @ sK5) = $false)) ) | (~spl1_2 | ~spl1_4)),
% 0.24/0.44 inference(superposition,[],[f321,f311])).
% 0.24/0.44 thf(f311,plain,(
% 0.24/0.44 ( ! [X3 : $i,X6 : $i,X4 : $i] : (($true = (sK0 @ X6 @ X3)) | ((sK0 @ X4 @ X3) = $false) | ((sK0 @ X4 @ X6) = $false)) ) | ~spl1_2),
% 0.24/0.44 inference(avatar_component_clause,[],[f310])).
% 0.24/0.44 thf(f310,plain,(
% 0.24/0.44 spl1_2 <=> ! [X6,X4,X3] : (($true = (sK0 @ X6 @ X3)) | ((sK0 @ X4 @ X6) = $false) | ((sK0 @ X4 @ X3) = $false))),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.24/0.44 thf(f321,plain,(
% 0.24/0.44 ((sK0 @ sK12 @ sK5) = $false) | ~spl1_4),
% 0.24/0.44 inference(avatar_component_clause,[],[f319])).
% 0.24/0.44 thf(f319,plain,(
% 0.24/0.44 spl1_4 <=> ((sK0 @ sK12 @ sK5) = $false)),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
% 0.24/0.44 thf(f344,plain,(
% 0.24/0.44 ($true = (sK0 @ sK11 @ sK12)) | ~spl1_9),
% 0.24/0.44 inference(avatar_component_clause,[],[f342])).
% 0.24/0.44 thf(f342,plain,(
% 0.24/0.44 spl1_9 <=> ($true = (sK0 @ sK11 @ sK12))),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
% 0.24/0.44 thf(f606,plain,(
% 0.24/0.44 ~spl1_2 | ~spl1_5 | ~spl1_7 | ~spl1_8 | ~spl1_18),
% 0.24/0.44 inference(avatar_contradiction_clause,[],[f605])).
% 0.24/0.44 thf(f605,plain,(
% 0.24/0.44 $false | (~spl1_2 | ~spl1_5 | ~spl1_7 | ~spl1_8 | ~spl1_18)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f597])).
% 0.24/0.44 thf(f597,plain,(
% 0.24/0.44 ($true = $false) | (~spl1_2 | ~spl1_5 | ~spl1_7 | ~spl1_8 | ~spl1_18)),
% 0.24/0.44 inference(superposition,[],[f394,f593])).
% 0.24/0.44 thf(f593,plain,(
% 0.24/0.44 ((sK0 @ sK6 @ sK6) = $false) | (~spl1_2 | ~spl1_5 | ~spl1_7 | ~spl1_8)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f585])).
% 0.24/0.44 thf(f585,plain,(
% 0.24/0.44 ((sK0 @ sK6 @ sK6) = $false) | ($true = $false) | (~spl1_2 | ~spl1_5 | ~spl1_7 | ~spl1_8)),
% 0.24/0.44 inference(superposition,[],[f554,f339])).
% 0.24/0.44 thf(f339,plain,(
% 0.24/0.44 ($true = (sK0 @ sK6 @ sK13)) | ~spl1_8),
% 0.24/0.44 inference(avatar_component_clause,[],[f337])).
% 0.24/0.44 thf(f337,plain,(
% 0.24/0.44 spl1_8 <=> ($true = (sK0 @ sK6 @ sK13))),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 0.24/0.44 thf(f554,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK13) = $false) | ((sK0 @ X0 @ sK6) = $false)) ) | (~spl1_2 | ~spl1_5 | ~spl1_7)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f551])).
% 0.24/0.44 thf(f551,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK13) = $false) | ((sK0 @ X0 @ sK6) = $false) | ($true = $false)) ) | (~spl1_2 | ~spl1_5 | ~spl1_7)),
% 0.24/0.44 inference(superposition,[],[f548,f311])).
% 0.24/0.44 thf(f548,plain,(
% 0.24/0.44 ((sK0 @ sK13 @ sK6) = $false) | (~spl1_2 | ~spl1_5 | ~spl1_7)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f544])).
% 0.24/0.44 thf(f544,plain,(
% 0.24/0.44 ((sK0 @ sK13 @ sK6) = $false) | ($true = $false) | (~spl1_2 | ~spl1_5 | ~spl1_7)),
% 0.24/0.44 inference(superposition,[],[f334,f534])).
% 0.24/0.44 thf(f534,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK14) = $false) | ((sK0 @ X0 @ sK6) = $false)) ) | (~spl1_2 | ~spl1_5)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f531])).
% 0.24/0.44 thf(f531,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK6) = $false) | ((sK0 @ X0 @ sK14) = $false) | ($true = $false)) ) | (~spl1_2 | ~spl1_5)),
% 0.24/0.44 inference(superposition,[],[f325,f311])).
% 0.24/0.44 thf(f325,plain,(
% 0.24/0.44 ((sK0 @ sK6 @ sK14) = $false) | ~spl1_5),
% 0.24/0.44 inference(avatar_component_clause,[],[f323])).
% 0.24/0.44 thf(f323,plain,(
% 0.24/0.44 spl1_5 <=> ((sK0 @ sK6 @ sK14) = $false)),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
% 0.24/0.44 thf(f334,plain,(
% 0.24/0.44 ($true = (sK0 @ sK13 @ sK14)) | ~spl1_7),
% 0.24/0.44 inference(avatar_component_clause,[],[f332])).
% 0.24/0.44 thf(f332,plain,(
% 0.24/0.44 spl1_7 <=> ($true = (sK0 @ sK13 @ sK14))),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
% 0.24/0.44 thf(f394,plain,(
% 0.24/0.44 ( ! [X3 : $i] : (($true = (sK0 @ X3 @ X3))) ) | ~spl1_18),
% 0.24/0.44 inference(avatar_component_clause,[],[f393])).
% 0.24/0.44 thf(f393,plain,(
% 0.24/0.44 spl1_18 <=> ! [X3] : ($true = (sK0 @ X3 @ X3))),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_18])])).
% 0.24/0.44 thf(f530,plain,(
% 0.24/0.44 ~spl1_2 | ~spl1_11 | ~spl1_16 | ~spl1_17 | ~spl1_18),
% 0.24/0.44 inference(avatar_contradiction_clause,[],[f529])).
% 0.24/0.44 thf(f529,plain,(
% 0.24/0.44 $false | (~spl1_2 | ~spl1_11 | ~spl1_16 | ~spl1_17 | ~spl1_18)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f519])).
% 0.24/0.44 thf(f519,plain,(
% 0.24/0.44 ($true = $false) | (~spl1_2 | ~spl1_11 | ~spl1_16 | ~spl1_17 | ~spl1_18)),
% 0.24/0.44 inference(superposition,[],[f518,f394])).
% 0.24/0.44 thf(f518,plain,(
% 0.24/0.44 ((sK0 @ sK6 @ sK6) = $false) | (~spl1_2 | ~spl1_11 | ~spl1_16 | ~spl1_17)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f512])).
% 0.24/0.44 thf(f512,plain,(
% 0.24/0.44 ((sK0 @ sK6 @ sK6) = $false) | ($true = $false) | (~spl1_2 | ~spl1_11 | ~spl1_16 | ~spl1_17)),
% 0.24/0.44 inference(superposition,[],[f386,f489])).
% 0.24/0.44 thf(f489,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK9) = $false) | ((sK0 @ X0 @ sK6) = $false)) ) | (~spl1_2 | ~spl1_11 | ~spl1_16)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f486])).
% 0.24/0.44 thf(f486,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK6) = $false) | ((sK0 @ X0 @ sK9) = $false) | ($true = $false)) ) | (~spl1_2 | ~spl1_11 | ~spl1_16)),
% 0.24/0.44 inference(superposition,[],[f482,f311])).
% 0.24/0.44 thf(f482,plain,(
% 0.24/0.44 ((sK0 @ sK9 @ sK6) = $false) | (~spl1_2 | ~spl1_11 | ~spl1_16)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f476])).
% 0.24/0.44 thf(f476,plain,(
% 0.24/0.44 ((sK0 @ sK9 @ sK6) = $false) | ($true = $false) | (~spl1_2 | ~spl1_11 | ~spl1_16)),
% 0.24/0.44 inference(superposition,[],[f470,f381])).
% 0.24/0.44 thf(f381,plain,(
% 0.24/0.44 ($true = (sK0 @ sK9 @ sK10)) | ~spl1_16),
% 0.24/0.44 inference(avatar_component_clause,[],[f379])).
% 0.24/0.44 thf(f379,plain,(
% 0.24/0.44 spl1_16 <=> ($true = (sK0 @ sK9 @ sK10))),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])).
% 0.24/0.44 thf(f470,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK10) = $false) | ((sK0 @ X0 @ sK6) = $false)) ) | (~spl1_2 | ~spl1_11)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f467])).
% 0.24/0.44 thf(f467,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK6) = $false) | ((sK0 @ X0 @ sK10) = $false) | ($true = $false)) ) | (~spl1_2 | ~spl1_11)),
% 0.24/0.44 inference(superposition,[],[f358,f311])).
% 0.24/0.44 thf(f358,plain,(
% 0.24/0.44 ((sK0 @ sK6 @ sK10) = $false) | ~spl1_11),
% 0.24/0.44 inference(avatar_component_clause,[],[f356])).
% 0.24/0.44 thf(f356,plain,(
% 0.24/0.44 spl1_11 <=> ((sK0 @ sK6 @ sK10) = $false)),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])).
% 0.24/0.44 thf(f386,plain,(
% 0.24/0.44 ($true = (sK0 @ sK6 @ sK9)) | ~spl1_17),
% 0.24/0.44 inference(avatar_component_clause,[],[f384])).
% 0.24/0.44 thf(f384,plain,(
% 0.24/0.44 spl1_17 <=> ($true = (sK0 @ sK6 @ sK9))),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_17])])).
% 0.24/0.44 thf(f466,plain,(
% 0.24/0.44 ~spl1_2 | ~spl1_12 | ~spl1_14 | ~spl1_15),
% 0.24/0.44 inference(avatar_contradiction_clause,[],[f465])).
% 0.24/0.44 thf(f465,plain,(
% 0.24/0.44 $false | (~spl1_2 | ~spl1_12 | ~spl1_14 | ~spl1_15)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f457])).
% 0.24/0.44 thf(f457,plain,(
% 0.24/0.44 ($true = $false) | (~spl1_2 | ~spl1_12 | ~spl1_14 | ~spl1_15)),
% 0.24/0.44 inference(superposition,[],[f455,f376])).
% 0.24/0.44 thf(f376,plain,(
% 0.24/0.44 ($true = (sK0 @ sK7 @ sK5)) | ~spl1_15),
% 0.24/0.44 inference(avatar_component_clause,[],[f374])).
% 0.24/0.44 thf(f374,plain,(
% 0.24/0.44 spl1_15 <=> ($true = (sK0 @ sK7 @ sK5))),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_15])])).
% 0.24/0.44 thf(f455,plain,(
% 0.24/0.44 ((sK0 @ sK7 @ sK5) = $false) | (~spl1_2 | ~spl1_12 | ~spl1_14)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f447])).
% 0.24/0.44 thf(f447,plain,(
% 0.24/0.44 ($true = $false) | ((sK0 @ sK7 @ sK5) = $false) | (~spl1_2 | ~spl1_12 | ~spl1_14)),
% 0.24/0.44 inference(superposition,[],[f441,f371])).
% 0.24/0.44 thf(f371,plain,(
% 0.24/0.44 ($true = (sK0 @ sK7 @ sK8)) | ~spl1_14),
% 0.24/0.44 inference(avatar_component_clause,[],[f369])).
% 0.24/0.44 thf(f369,plain,(
% 0.24/0.44 spl1_14 <=> ($true = (sK0 @ sK7 @ sK8))),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])).
% 0.24/0.44 thf(f441,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK8) = $false) | ((sK0 @ X0 @ sK5) = $false)) ) | (~spl1_2 | ~spl1_12)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f439])).
% 0.24/0.44 thf(f439,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK5) = $false) | ($true = $false) | ((sK0 @ X0 @ sK8) = $false)) ) | (~spl1_2 | ~spl1_12)),
% 0.24/0.44 inference(superposition,[],[f311,f362])).
% 0.24/0.44 thf(f362,plain,(
% 0.24/0.44 ((sK0 @ sK8 @ sK5) = $false) | ~spl1_12),
% 0.24/0.44 inference(avatar_component_clause,[],[f360])).
% 0.24/0.44 thf(f360,plain,(
% 0.24/0.44 spl1_12 <=> ((sK0 @ sK8 @ sK5) = $false)),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])).
% 0.24/0.44 thf(f436,plain,(
% 0.24/0.44 ~spl1_2 | ~spl1_6 | ~spl1_13 | ~spl1_18),
% 0.24/0.44 inference(avatar_contradiction_clause,[],[f435])).
% 0.24/0.44 thf(f435,plain,(
% 0.24/0.44 $false | (~spl1_2 | ~spl1_6 | ~spl1_13 | ~spl1_18)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f428])).
% 0.24/0.44 thf(f428,plain,(
% 0.24/0.44 ($true = $false) | (~spl1_2 | ~spl1_6 | ~spl1_13 | ~spl1_18)),
% 0.24/0.44 inference(superposition,[],[f427,f366])).
% 0.24/0.44 thf(f366,plain,(
% 0.24/0.44 ($true = (sK0 @ sK4 @ sK2)) | ~spl1_13),
% 0.24/0.44 inference(avatar_component_clause,[],[f364])).
% 0.24/0.44 thf(f364,plain,(
% 0.24/0.44 spl1_13 <=> ($true = (sK0 @ sK4 @ sK2))),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_13])])).
% 0.24/0.44 thf(f427,plain,(
% 0.24/0.44 ($false = (sK0 @ sK4 @ sK2)) | (~spl1_2 | ~spl1_6 | ~spl1_18)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f422])).
% 0.24/0.44 thf(f422,plain,(
% 0.24/0.44 ($false = (sK0 @ sK4 @ sK2)) | ($true = $false) | (~spl1_2 | ~spl1_6 | ~spl1_18)),
% 0.24/0.44 inference(superposition,[],[f394,f419])).
% 0.24/0.44 thf(f419,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK4) = $false) | ((sK0 @ X0 @ sK2) = $false)) ) | (~spl1_2 | ~spl1_6)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f411])).
% 0.24/0.44 thf(f411,plain,(
% 0.24/0.44 ( ! [X0 : $i] : (((sK0 @ X0 @ sK4) = $false) | ((sK0 @ X0 @ sK2) = $false) | ($true = $false)) ) | (~spl1_2 | ~spl1_6)),
% 0.24/0.44 inference(superposition,[],[f311,f329])).
% 0.24/0.44 thf(f329,plain,(
% 0.24/0.44 ((sK0 @ sK2 @ sK4) = $false) | ~spl1_6),
% 0.24/0.44 inference(avatar_component_clause,[],[f327])).
% 0.24/0.44 thf(f327,plain,(
% 0.24/0.44 spl1_6 <=> ((sK0 @ sK2 @ sK4) = $false)),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
% 0.24/0.44 thf(f409,plain,(
% 0.24/0.44 ~spl1_3 | ~spl1_18),
% 0.24/0.44 inference(avatar_contradiction_clause,[],[f408])).
% 0.24/0.44 thf(f408,plain,(
% 0.24/0.44 $false | (~spl1_3 | ~spl1_18)),
% 0.24/0.44 inference(trivial_inequality_removal,[],[f404])).
% 0.24/0.44 thf(f404,plain,(
% 0.24/0.44 ($true = $false) | (~spl1_3 | ~spl1_18)),
% 0.24/0.44 inference(superposition,[],[f317,f394])).
% 0.24/0.44 thf(f317,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ~spl1_3),
% 0.24/0.44 inference(avatar_component_clause,[],[f315])).
% 0.24/0.44 thf(f315,plain,(
% 0.24/0.44 spl1_3 <=> ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.24/0.44 thf(f396,plain,(
% 0.24/0.44 spl1_18),
% 0.24/0.44 inference(avatar_split_clause,[],[f205,f393])).
% 0.24/0.44 thf(f205,plain,(
% 0.24/0.44 ( ! [X1 : $i] : (($true = (sK0 @ X1 @ X1))) )),
% 0.24/0.44 inference(beta_eta_normalization,[],[f204])).
% 0.24/0.44 thf(f204,plain,(
% 0.24/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (sK0 @ Y0 @ Y0)) @ X1))) )),
% 0.24/0.44 inference(pi_clausification,[],[f203])).
% 0.24/0.44 thf(f203,plain,(
% 0.24/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))))),
% 0.24/0.44 inference(beta_eta_normalization,[],[f202])).
% 0.24/0.44 thf(f202,plain,(
% 0.24/0.44 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0))),
% 0.24/0.44 inference(duplicate_literal_removal,[],[f150])).
% 0.24/0.44 thf(f150,plain,(
% 0.24/0.44 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0)) | ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0))),
% 0.24/0.44 inference(definition_unfolding,[],[f108,f113,f113])).
% 0.24/0.44 thf(f113,plain,(
% 0.24/0.44 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.24/0.44 inference(cnf_transformation,[],[f68])).
% 0.24/0.44 thf(f68,plain,(
% 0.24/0.44 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.24/0.44 inference(fool_elimination,[],[f67])).
% 0.24/0.44 thf(f67,plain,(
% 0.24/0.44 ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = mreflexive)),
% 0.24/0.44 inference(rectify,[],[f18])).
% 0.24/0.44 thf(f18,axiom,(
% 0.24/0.44 ((^[X6 : $i > $i > $o] : (! [X8] : (X6 @ X8 @ X8))) = mreflexive)),
% 0.24/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive)).
% 0.24/0.44 thf(f108,plain,(
% 0.24/0.44 ($true = (mreflexive @ sK0)) | ($true = (mreflexive @ sK0))),
% 0.24/0.44 inference(cnf_transformation,[],[f99])).
% 0.24/0.44 thf(f99,plain,(
% 0.24/0.44 (($true != (mreflexive @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (mreflexive @ sK0)) | ($true != (msymmetric @ sK0)) | ($true != (mtransitive @ sK0)) | ($true != (meuclidean @ sK0))) & ((($true = (mreflexive @ sK0)) & ($true = (meuclidean @ sK0))) | (($true = (mreflexive @ sK0)) & ($true = (msymmetric @ sK0)) & ($true = (mtransitive @ sK0)) & ($true = (meuclidean @ sK0))))),
% 0.24/0.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f97,f98])).
% 0.24/0.44 thf(f98,plain,(
% 0.24/0.44 ? [X0 : $i > $i > $o] : ((($true != (mreflexive @ X0)) | ($true != (meuclidean @ X0)) | ($true != (mreflexive @ X0)) | ($true != (msymmetric @ X0)) | ($true != (mtransitive @ X0)) | ($true != (meuclidean @ X0))) & ((($true = (mreflexive @ X0)) & ($true = (meuclidean @ X0))) | (($true = (mreflexive @ X0)) & ($true = (msymmetric @ X0)) & ($true = (mtransitive @ X0)) & ($true = (meuclidean @ X0))))) => ((($true != (mreflexive @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (mreflexive @ sK0)) | ($true != (msymmetric @ sK0)) | ($true != (mtransitive @ sK0)) | ($true != (meuclidean @ sK0))) & ((($true = (mreflexive @ sK0)) & ($true = (meuclidean @ sK0))) | (($true = (mreflexive @ sK0)) & ($true = (msymmetric @ sK0)) & ($true = (mtransitive @ sK0)) & ($true = (meuclidean @ sK0)))))),
% 0.24/0.44 introduced(choice_axiom,[])).
% 0.24/0.44 thf(f97,plain,(
% 0.24/0.44 ? [X0 : $i > $i > $o] : ((($true != (mreflexive @ X0)) | ($true != (meuclidean @ X0)) | ($true != (mreflexive @ X0)) | ($true != (msymmetric @ X0)) | ($true != (mtransitive @ X0)) | ($true != (meuclidean @ X0))) & ((($true = (mreflexive @ X0)) & ($true = (meuclidean @ X0))) | (($true = (mreflexive @ X0)) & ($true = (msymmetric @ X0)) & ($true = (mtransitive @ X0)) & ($true = (meuclidean @ X0)))))),
% 0.24/0.44 inference(flattening,[],[f96])).
% 0.24/0.44 thf(f96,plain,(
% 0.24/0.44 ? [X0 : $i > $i > $o] : (((($true != (mreflexive @ X0)) | ($true != (meuclidean @ X0))) | (($true != (mreflexive @ X0)) | ($true != (msymmetric @ X0)) | ($true != (mtransitive @ X0)) | ($true != (meuclidean @ X0)))) & ((($true = (mreflexive @ X0)) & ($true = (meuclidean @ X0))) | (($true = (mreflexive @ X0)) & ($true = (msymmetric @ X0)) & ($true = (mtransitive @ X0)) & ($true = (meuclidean @ X0)))))),
% 0.24/0.44 inference(nnf_transformation,[],[f95])).
% 0.24/0.44 thf(f95,plain,(
% 0.24/0.44 ? [X0 : $i > $i > $o] : ((($true = (mreflexive @ X0)) & ($true = (msymmetric @ X0)) & ($true = (mtransitive @ X0)) & ($true = (meuclidean @ X0))) <~> (($true = (mreflexive @ X0)) & ($true = (meuclidean @ X0))))),
% 0.24/0.44 inference(ennf_transformation,[],[f37])).
% 0.24/0.44 thf(f37,plain,(
% 0.24/0.44 ~! [X0 : $i > $i > $o] : ((($true = (mreflexive @ X0)) & ($true = (meuclidean @ X0))) <=> (($true = (mreflexive @ X0)) & ($true = (msymmetric @ X0)) & ($true = (mtransitive @ X0)) & ($true = (meuclidean @ X0))))),
% 0.24/0.44 inference(fool_elimination,[],[f36])).
% 0.24/0.44 thf(f36,plain,(
% 0.24/0.44 ~! [X0 : $i > $i > $o] : (((meuclidean @ X0) & (mreflexive @ X0)) <=> ((meuclidean @ X0) & (msymmetric @ X0) & (mtransitive @ X0) & (mreflexive @ X0)))),
% 0.24/0.44 inference(rectify,[],[f33])).
% 0.24/0.44 thf(f33,negated_conjecture,(
% 0.24/0.44 ~! [X6 : $i > $i > $o] : (((meuclidean @ X6) & (mreflexive @ X6)) <=> ((meuclidean @ X6) & (msymmetric @ X6) & (mtransitive @ X6) & (mreflexive @ X6)))),
% 0.24/0.44 inference(negated_conjecture,[],[f32])).
% 0.24/0.44 thf(f32,conjecture,(
% 0.24/0.44 ! [X6 : $i > $i > $o] : (((meuclidean @ X6) & (mreflexive @ X6)) <=> ((meuclidean @ X6) & (msymmetric @ X6) & (mtransitive @ X6) & (mreflexive @ X6)))),
% 0.24/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.24/0.44 thf(f391,plain,(
% 0.24/0.44 spl1_3 | spl1_17 | spl1_15 | spl1_13),
% 0.24/0.44 inference(avatar_split_clause,[],[f246,f364,f374,f384,f315])).
% 0.24/0.44 thf(f246,plain,(
% 0.24/0.44 ($true = (sK0 @ sK4 @ sK2)) | ($true = (sK0 @ sK7 @ sK5)) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK6 @ sK9))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f244])).
% 0.24/0.44 thf(f244,plain,(
% 0.24/0.44 ($true = (sK0 @ sK4 @ sK2)) | ($true = ((sK0 @ sK6 @ sK9) & (sK0 @ sK9 @ sK10))) | ($true = (sK0 @ sK7 @ sK5)) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f242])).
% 0.24/0.44 thf(f242,plain,(
% 0.24/0.44 ($true = (sK0 @ sK4 @ sK2)) | ($true = ((sK0 @ sK7 @ sK5) & (sK0 @ sK7 @ sK8))) | ((sK0 @ sK3 @ sK3) = $false) | ($true = ((sK0 @ sK6 @ sK9) & (sK0 @ sK9 @ sK10)))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f240])).
% 0.24/0.44 thf(f240,plain,(
% 0.24/0.44 ((((sK0 @ sK7 @ sK5) & (sK0 @ sK7 @ sK8)) => (sK0 @ sK8 @ sK5)) = $false) | ($true = ((sK0 @ sK6 @ sK9) & (sK0 @ sK9 @ sK10))) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK4 @ sK2))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f238])).
% 0.24/0.44 thf(f238,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ((((sK0 @ sK6 @ sK9) & (sK0 @ sK9 @ sK10)) => (sK0 @ sK6 @ sK10)) = $false) | ((((sK0 @ sK7 @ sK5) & (sK0 @ sK7 @ sK8)) => (sK0 @ sK8 @ sK5)) = $false) | ($true = (sK0 @ sK4 @ sK2))),
% 0.24/0.44 inference(beta_eta_normalization,[],[f237])).
% 0.24/0.44 thf(f237,plain,(
% 0.24/0.44 ((((sK0 @ sK7 @ sK5) & (sK0 @ sK7 @ sK8)) => (sK0 @ sK8 @ sK5)) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK4 @ sK2)) | (((^[Y0 : $i]: (((sK0 @ sK6 @ sK9) & (sK0 @ sK9 @ Y0)) => (sK0 @ sK6 @ Y0))) @ sK10) = $false)),
% 0.24/0.44 inference(sigma_clausification,[],[f236])).
% 0.24/0.44 thf(f236,plain,(
% 0.24/0.44 ($true = (sK0 @ sK4 @ sK2)) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK6 @ sK9) & (sK0 @ sK9 @ Y0)) => (sK0 @ sK6 @ Y0)))) = $false) | ((((sK0 @ sK7 @ sK5) & (sK0 @ sK7 @ sK8)) => (sK0 @ sK8 @ sK5)) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f235])).
% 0.24/0.44 thf(f235,plain,(
% 0.24/0.44 ($true = (sK0 @ sK4 @ sK2)) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1))))) @ sK9) = $false) | ((((sK0 @ sK7 @ sK5) & (sK0 @ sK7 @ sK8)) => (sK0 @ sK8 @ sK5)) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(sigma_clausification,[],[f234])).
% 0.24/0.44 thf(f234,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1)))))) = $false) | ((((sK0 @ sK7 @ sK5) & (sK0 @ sK7 @ sK8)) => (sK0 @ sK8 @ sK5)) = $false) | ($true = (sK0 @ sK4 @ sK2))),
% 0.24/0.44 inference(beta_eta_normalization,[],[f233])).
% 0.24/0.44 thf(f233,plain,(
% 0.24/0.44 ($true = (sK0 @ sK4 @ sK2)) | (((^[Y0 : $i]: (((sK0 @ sK7 @ sK5) & (sK0 @ sK7 @ Y0)) => (sK0 @ Y0 @ sK5))) @ sK8) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1)))))) = $false)),
% 0.24/0.44 inference(sigma_clausification,[],[f232])).
% 0.24/0.44 thf(f232,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK7 @ sK5) & (sK0 @ sK7 @ Y0)) => (sK0 @ Y0 @ sK5)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1)))))) = $false) | ($true = (sK0 @ sK4 @ sK2))),
% 0.24/0.44 inference(beta_eta_normalization,[],[f231])).
% 0.24/0.44 thf(f231,plain,(
% 0.24/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1)))))) = $false) | ($true = (sK0 @ sK4 @ sK2)) | ((sK0 @ sK3 @ sK3) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK5) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y1 @ sK5))))) @ sK7) = $false)),
% 0.24/0.44 inference(sigma_clausification,[],[f230])).
% 0.24/0.44 thf(f230,plain,(
% 0.24/0.44 ($true = (sK0 @ sK4 @ sK2)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK5) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y1 @ sK5)))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1)))))) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f228])).
% 0.24/0.44 thf(f228,plain,(
% 0.24/0.44 (((sK0 @ sK4 @ sK2) => (sK0 @ sK2 @ sK4)) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK5) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y1 @ sK5)))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1)))))) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f227])).
% 0.24/0.44 thf(f227,plain,(
% 0.24/0.44 (((sK0 @ sK4 @ sK2) => (sK0 @ sK2 @ sK4)) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))) @ sK6) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK5) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y1 @ sK5)))))) = $false)),
% 0.24/0.44 inference(sigma_clausification,[],[f226])).
% 0.24/0.44 thf(f226,plain,(
% 0.24/0.44 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | (((sK0 @ sK4 @ sK2) => (sK0 @ sK2 @ sK4)) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK5) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y1 @ sK5)))))) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f225])).
% 0.24/0.44 thf(f225,plain,(
% 0.24/0.44 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | (((sK0 @ sK4 @ sK2) => (sK0 @ sK2 @ sK4)) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y2 @ Y0))))))) @ sK5) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(sigma_clausification,[],[f224])).
% 0.24/0.44 thf(f224,plain,(
% 0.24/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y2 @ Y0)))))))) != $true) | ((sK0 @ sK3 @ sK3) = $false) | (((sK0 @ sK4 @ sK2) => (sK0 @ sK2 @ sK4)) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2)))))))))),
% 0.24/0.44 inference(beta_eta_normalization,[],[f223])).
% 0.24/0.44 thf(f223,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y2 @ Y0)))))))) != $true) | (((^[Y0 : $i]: ((sK0 @ Y0 @ sK2) => (sK0 @ sK2 @ Y0))) @ sK4) = $false)),
% 0.24/0.44 inference(sigma_clausification,[],[f222])).
% 0.24/0.44 thf(f222,plain,(
% 0.24/0.44 ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ sK2) => (sK0 @ sK2 @ Y0)))) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | ((sK0 @ sK3 @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y2 @ Y0)))))))) != $true)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f221])).
% 0.24/0.44 thf(f221,plain,(
% 0.24/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y2 @ Y0)))))))) != $true) | (((^[Y0 : $i]: (sK0 @ Y0 @ Y0)) @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ sK2) => (sK0 @ sK2 @ Y0)))) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2)))))))))),
% 0.24/0.44 inference(sigma_clausification,[],[f220])).
% 0.24/0.44 thf(f220,plain,(
% 0.24/0.44 ($true != (!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0)))) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ sK2) => (sK0 @ sK2 @ Y0)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y2 @ Y0)))))))) != $true) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2)))))))))),
% 0.24/0.44 inference(beta_eta_normalization,[],[f219])).
% 0.24/0.44 thf(f219,plain,(
% 0.24/0.44 ($true != (!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0)))) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1))))) @ sK2) = $false) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y2 @ Y0)))))))) != $true)),
% 0.24/0.44 inference(sigma_clausification,[],[f218])).
% 0.24/0.44 thf(f218,plain,(
% 0.24/0.44 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (sK0 @ Y0 @ Y1))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y2 @ Y0)))))))) != $true) | ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y0 @ Y2))))))))) | ($true != (!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))))),
% 0.24/0.44 inference(beta_eta_normalization,[],[f217])).
% 0.24/0.44 thf(f217,plain,(
% 0.24/0.44 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))) @ sK0) != $true) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y3 @ Y1))))))))) @ sK0))),
% 0.24/0.44 inference(duplicate_literal_removal,[],[f149])).
% 0.24/0.44 thf(f149,plain,(
% 0.24/0.44 ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y3 @ Y1))))))))) @ sK0)) | (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))) @ sK0) != $true) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y3 @ Y1))))))))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0)) | ($true != ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ sK0))),
% 0.24/0.44 inference(definition_unfolding,[],[f109,f113,f124,f113,f121,f130,f124])).
% 0.24/0.44 thf(f130,plain,(
% 0.24/0.44 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))))),
% 0.24/0.44 inference(cnf_transformation,[],[f60])).
% 0.24/0.44 thf(f60,plain,(
% 0.24/0.44 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))))),
% 0.24/0.44 inference(fool_elimination,[],[f59])).
% 0.24/0.44 thf(f59,plain,(
% 0.24/0.44 ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X1) & (X0 @ X3 @ X2)) => (X0 @ X3 @ X1)))) = mtransitive)),
% 0.24/0.44 inference(rectify,[],[f21])).
% 0.24/0.44 thf(f21,axiom,(
% 0.24/0.44 ((^[X6 : $i > $i > $o] : (! [X10,X9,X8] : (((X6 @ X9 @ X10) & (X6 @ X8 @ X9)) => (X6 @ X8 @ X10)))) = mtransitive)),
% 0.24/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive)).
% 0.24/0.44 thf(f121,plain,(
% 0.24/0.44 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.24/0.44 inference(cnf_transformation,[],[f86])).
% 0.24/0.44 thf(f86,plain,(
% 0.24/0.44 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.24/0.44 inference(fool_elimination,[],[f85])).
% 0.24/0.44 thf(f85,plain,(
% 0.24/0.44 ((^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))) = msymmetric)),
% 0.24/0.44 inference(rectify,[],[f19])).
% 0.24/0.44 thf(f19,axiom,(
% 0.24/0.44 ((^[X6 : $i > $i > $o] : (! [X8,X9] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))) = msymmetric)),
% 0.24/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)).
% 0.24/0.44 thf(f124,plain,(
% 0.24/0.44 (meuclidean = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y3 @ Y1))))))))))),
% 0.24/0.44 inference(cnf_transformation,[],[f56])).
% 0.24/0.44 thf(f56,plain,(
% 0.24/0.44 (meuclidean = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y3 @ Y1))))))))))),
% 0.24/0.44 inference(fool_elimination,[],[f55])).
% 0.24/0.44 thf(f55,plain,(
% 0.24/0.44 (meuclidean = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X1) & (X0 @ X2 @ X3)) => (X0 @ X1 @ X3)))))),
% 0.24/0.44 inference(rectify,[],[f22])).
% 0.24/0.44 thf(f22,axiom,(
% 0.24/0.44 (meuclidean = (^[X6 : $i > $i > $o] : (! [X9,X8,X10] : (((X6 @ X8 @ X9) & (X6 @ X8 @ X10)) => (X6 @ X9 @ X10)))))),
% 0.24/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean)).
% 0.24/0.44 thf(f109,plain,(
% 0.24/0.44 ($true != (mreflexive @ sK0)) | ($true != (meuclidean @ sK0)) | ($true != (mreflexive @ sK0)) | ($true != (msymmetric @ sK0)) | ($true != (mtransitive @ sK0)) | ($true != (meuclidean @ sK0))),
% 0.24/0.44 inference(cnf_transformation,[],[f99])).
% 0.24/0.44 thf(f390,plain,(
% 0.24/0.44 spl1_13 | spl1_15 | spl1_3 | spl1_16),
% 0.24/0.44 inference(avatar_split_clause,[],[f245,f379,f315,f374,f364])).
% 0.24/0.44 thf(f245,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK4 @ sK2)) | ($true = (sK0 @ sK9 @ sK10)) | ($true = (sK0 @ sK7 @ sK5))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f244])).
% 0.24/0.44 thf(f389,plain,(
% 0.24/0.44 spl1_13 | spl1_17 | spl1_14 | spl1_3),
% 0.24/0.44 inference(avatar_split_clause,[],[f248,f315,f369,f384,f364])).
% 0.24/0.44 thf(f248,plain,(
% 0.24/0.44 ($true = (sK0 @ sK6 @ sK9)) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK4 @ sK2)) | ($true = (sK0 @ sK7 @ sK8))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f243])).
% 0.24/0.44 thf(f243,plain,(
% 0.24/0.44 ($true = (sK0 @ sK4 @ sK2)) | ($true = (sK0 @ sK7 @ sK8)) | ((sK0 @ sK3 @ sK3) = $false) | ($true = ((sK0 @ sK6 @ sK9) & (sK0 @ sK9 @ sK10)))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f242])).
% 0.24/0.44 thf(f388,plain,(
% 0.24/0.44 spl1_3 | spl1_13 | spl1_14 | spl1_16),
% 0.24/0.44 inference(avatar_split_clause,[],[f247,f379,f369,f364,f315])).
% 0.24/0.44 thf(f247,plain,(
% 0.24/0.44 ($true = (sK0 @ sK4 @ sK2)) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK7 @ sK8)) | ($true = (sK0 @ sK9 @ sK10))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f243])).
% 0.24/0.44 thf(f387,plain,(
% 0.24/0.44 spl1_12 | spl1_13 | spl1_17 | spl1_3),
% 0.24/0.44 inference(avatar_split_clause,[],[f250,f315,f384,f364,f360])).
% 0.24/0.44 thf(f250,plain,(
% 0.24/0.44 ($true = (sK0 @ sK6 @ sK9)) | ($true = (sK0 @ sK4 @ sK2)) | ((sK0 @ sK8 @ sK5) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f241])).
% 0.24/0.44 thf(f241,plain,(
% 0.24/0.44 ($true = ((sK0 @ sK6 @ sK9) & (sK0 @ sK9 @ sK10))) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK4 @ sK2)) | ((sK0 @ sK8 @ sK5) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f240])).
% 0.24/0.44 thf(f382,plain,(
% 0.24/0.44 spl1_13 | spl1_16 | spl1_3 | spl1_12),
% 0.24/0.44 inference(avatar_split_clause,[],[f249,f360,f315,f379,f364])).
% 0.24/0.44 thf(f249,plain,(
% 0.24/0.44 ($true = (sK0 @ sK4 @ sK2)) | ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK8 @ sK5) = $false) | ($true = (sK0 @ sK9 @ sK10))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f241])).
% 0.24/0.44 thf(f377,plain,(
% 0.24/0.44 spl1_15 | spl1_3 | spl1_13 | spl1_11),
% 0.24/0.44 inference(avatar_split_clause,[],[f254,f356,f364,f315,f374])).
% 0.24/0.44 thf(f254,plain,(
% 0.24/0.44 ($true = (sK0 @ sK7 @ sK5)) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK4 @ sK2)) | ((sK0 @ sK6 @ sK10) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f252])).
% 0.24/0.44 thf(f252,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK6 @ sK10) = $false) | ($true = ((sK0 @ sK7 @ sK5) & (sK0 @ sK7 @ sK8))) | ($true = (sK0 @ sK4 @ sK2))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f239])).
% 0.24/0.44 thf(f239,plain,(
% 0.24/0.44 ((sK0 @ sK6 @ sK10) = $false) | ($true = (sK0 @ sK4 @ sK2)) | ((((sK0 @ sK7 @ sK5) & (sK0 @ sK7 @ sK8)) => (sK0 @ sK8 @ sK5)) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f238])).
% 0.24/0.44 thf(f372,plain,(
% 0.24/0.44 spl1_13 | spl1_11 | spl1_14 | spl1_3),
% 0.24/0.44 inference(avatar_split_clause,[],[f253,f315,f369,f356,f364])).
% 0.24/0.44 thf(f253,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK6 @ sK10) = $false) | ($true = (sK0 @ sK7 @ sK8)) | ($true = (sK0 @ sK4 @ sK2))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f252])).
% 0.24/0.44 thf(f367,plain,(
% 0.24/0.44 spl1_3 | spl1_11 | spl1_12 | spl1_13),
% 0.24/0.44 inference(avatar_split_clause,[],[f251,f364,f360,f356,f315])).
% 0.24/0.44 thf(f251,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK6 @ sK10) = $false) | ($true = (sK0 @ sK4 @ sK2)) | ((sK0 @ sK8 @ sK5) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f239])).
% 0.24/0.44 thf(f354,plain,(
% 0.24/0.44 spl1_6 | spl1_8 | spl1_10 | spl1_3),
% 0.24/0.44 inference(avatar_split_clause,[],[f270,f315,f349,f337,f327])).
% 0.24/0.44 thf(f270,plain,(
% 0.24/0.44 ($true = (sK0 @ sK6 @ sK13)) | ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK2 @ sK4) = $false) | ($true = (sK0 @ sK11 @ sK5))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f268])).
% 0.24/0.44 thf(f268,plain,(
% 0.24/0.44 ($true = ((sK0 @ sK6 @ sK13) & (sK0 @ sK13 @ sK14))) | ($true = (sK0 @ sK11 @ sK5)) | ((sK0 @ sK2 @ sK4) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f266])).
% 0.24/0.44 thf(f266,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK11 @ sK5)) | ((sK0 @ sK2 @ sK4) = $false) | ((((sK0 @ sK6 @ sK13) & (sK0 @ sK13 @ sK14)) => (sK0 @ sK6 @ sK14)) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f264])).
% 0.24/0.44 thf(f264,plain,(
% 0.24/0.44 ($true = ((sK0 @ sK11 @ sK5) & (sK0 @ sK11 @ sK12))) | ((((sK0 @ sK6 @ sK13) & (sK0 @ sK13 @ sK14)) => (sK0 @ sK6 @ sK14)) = $false) | ((sK0 @ sK2 @ sK4) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f262])).
% 0.24/0.44 thf(f262,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ((((sK0 @ sK11 @ sK5) & (sK0 @ sK11 @ sK12)) => (sK0 @ sK12 @ sK5)) = $false) | ((sK0 @ sK2 @ sK4) = $false) | ((((sK0 @ sK6 @ sK13) & (sK0 @ sK13 @ sK14)) => (sK0 @ sK6 @ sK14)) = $false)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f261])).
% 0.24/0.44 thf(f261,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | (((^[Y0 : $i]: (((sK0 @ sK6 @ sK13) & (sK0 @ sK13 @ Y0)) => (sK0 @ sK6 @ Y0))) @ sK14) = $false) | ((sK0 @ sK2 @ sK4) = $false) | ((((sK0 @ sK11 @ sK5) & (sK0 @ sK11 @ sK12)) => (sK0 @ sK12 @ sK5)) = $false)),
% 0.24/0.44 inference(sigma_clausification,[],[f260])).
% 0.24/0.44 thf(f260,plain,(
% 0.24/0.44 ((sK0 @ sK2 @ sK4) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK6 @ sK13) & (sK0 @ sK13 @ Y0)) => (sK0 @ sK6 @ Y0)))) = $false) | ((((sK0 @ sK11 @ sK5) & (sK0 @ sK11 @ sK12)) => (sK0 @ sK12 @ sK5)) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f259])).
% 0.24/0.44 thf(f259,plain,(
% 0.24/0.44 ((((sK0 @ sK11 @ sK5) & (sK0 @ sK11 @ sK12)) => (sK0 @ sK12 @ sK5)) = $false) | ((sK0 @ sK3 @ sK3) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1))))) @ sK13) = $false) | ((sK0 @ sK2 @ sK4) = $false)),
% 0.24/0.44 inference(sigma_clausification,[],[f258])).
% 0.24/0.44 thf(f258,plain,(
% 0.24/0.44 ((sK0 @ sK2 @ sK4) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1)))))) = $false) | ((((sK0 @ sK11 @ sK5) & (sK0 @ sK11 @ sK12)) => (sK0 @ sK12 @ sK5)) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f257])).
% 0.24/0.44 thf(f257,plain,(
% 0.24/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1)))))) = $false) | ((sK0 @ sK2 @ sK4) = $false) | (((^[Y0 : $i]: (((sK0 @ sK11 @ sK5) & (sK0 @ sK11 @ Y0)) => (sK0 @ Y0 @ sK5))) @ sK12) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(sigma_clausification,[],[f256])).
% 0.24/0.44 thf(f256,plain,(
% 0.24/0.44 ((sK0 @ sK2 @ sK4) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK11 @ sK5) & (sK0 @ sK11 @ Y0)) => (sK0 @ Y0 @ sK5)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1)))))) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f255])).
% 0.24/0.44 thf(f255,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK2 @ sK4) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK5) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y1 @ sK5))))) @ sK11) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1)))))) = $false)),
% 0.24/0.44 inference(sigma_clausification,[],[f229])).
% 0.24/0.44 thf(f229,plain,(
% 0.24/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK5) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y1 @ sK5)))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ sK6 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ sK6 @ Y1)))))) = $false) | ((sK0 @ sK2 @ sK4) = $false) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f228])).
% 0.24/0.44 thf(f353,plain,(
% 0.24/0.44 spl1_7 | spl1_3 | spl1_6 | spl1_10),
% 0.24/0.44 inference(avatar_split_clause,[],[f269,f349,f327,f315,f332])).
% 0.24/0.44 thf(f269,plain,(
% 0.24/0.44 ($true = (sK0 @ sK11 @ sK5)) | ((sK0 @ sK2 @ sK4) = $false) | ($true = (sK0 @ sK13 @ sK14)) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f268])).
% 0.24/0.44 thf(f352,plain,(
% 0.24/0.44 spl1_3 | spl1_5 | spl1_6 | spl1_10),
% 0.24/0.44 inference(avatar_split_clause,[],[f267,f349,f327,f323,f315])).
% 0.24/0.44 thf(f267,plain,(
% 0.24/0.44 ((sK0 @ sK2 @ sK4) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK11 @ sK5)) | ((sK0 @ sK6 @ sK14) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f266])).
% 0.24/0.44 thf(f347,plain,(
% 0.24/0.44 spl1_9 | spl1_3 | spl1_8 | spl1_6),
% 0.24/0.44 inference(avatar_split_clause,[],[f274,f327,f337,f315,f342])).
% 0.24/0.44 thf(f274,plain,(
% 0.24/0.44 ($true = (sK0 @ sK11 @ sK12)) | ((sK0 @ sK2 @ sK4) = $false) | ($true = (sK0 @ sK6 @ sK13)) | ((sK0 @ sK3 @ sK3) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f272])).
% 0.24/0.44 thf(f272,plain,(
% 0.24/0.44 ($true = ((sK0 @ sK6 @ sK13) & (sK0 @ sK13 @ sK14))) | ((sK0 @ sK2 @ sK4) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK11 @ sK12))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f265])).
% 0.24/0.44 thf(f265,plain,(
% 0.24/0.44 ((((sK0 @ sK6 @ sK13) & (sK0 @ sK13 @ sK14)) => (sK0 @ sK6 @ sK14)) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK11 @ sK12)) | ((sK0 @ sK2 @ sK4) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f264])).
% 0.24/0.44 thf(f346,plain,(
% 0.24/0.44 spl1_3 | spl1_9 | spl1_7 | spl1_6),
% 0.24/0.44 inference(avatar_split_clause,[],[f273,f327,f332,f342,f315])).
% 0.24/0.44 thf(f273,plain,(
% 0.24/0.44 ($true = (sK0 @ sK13 @ sK14)) | ((sK0 @ sK2 @ sK4) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($true = (sK0 @ sK11 @ sK12))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f272])).
% 0.24/0.44 thf(f345,plain,(
% 0.24/0.44 spl1_6 | spl1_3 | spl1_5 | spl1_9),
% 0.24/0.44 inference(avatar_split_clause,[],[f271,f342,f323,f315,f327])).
% 0.24/0.44 thf(f271,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK6 @ sK14) = $false) | ($true = (sK0 @ sK11 @ sK12)) | ((sK0 @ sK2 @ sK4) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f265])).
% 0.24/0.44 thf(f340,plain,(
% 0.24/0.44 spl1_8 | spl1_6 | spl1_3 | spl1_4),
% 0.24/0.44 inference(avatar_split_clause,[],[f278,f319,f315,f327,f337])).
% 0.24/0.44 thf(f278,plain,(
% 0.24/0.44 ($true = (sK0 @ sK6 @ sK13)) | ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK12 @ sK5) = $false) | ((sK0 @ sK2 @ sK4) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f276])).
% 0.24/0.44 thf(f276,plain,(
% 0.24/0.44 ((sK0 @ sK2 @ sK4) = $false) | ((sK0 @ sK12 @ sK5) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ($true = ((sK0 @ sK6 @ sK13) & (sK0 @ sK13 @ sK14)))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f263])).
% 0.24/0.44 thf(f263,plain,(
% 0.24/0.44 ((((sK0 @ sK6 @ sK13) & (sK0 @ sK13 @ sK14)) => (sK0 @ sK6 @ sK14)) = $false) | ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK12 @ sK5) = $false) | ((sK0 @ sK2 @ sK4) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f262])).
% 0.24/0.44 thf(f335,plain,(
% 0.24/0.44 spl1_6 | spl1_7 | spl1_4 | spl1_3),
% 0.24/0.44 inference(avatar_split_clause,[],[f277,f315,f319,f332,f327])).
% 0.24/0.44 thf(f277,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK2 @ sK4) = $false) | ((sK0 @ sK12 @ sK5) = $false) | ($true = (sK0 @ sK13 @ sK14))),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f276])).
% 0.24/0.44 thf(f330,plain,(
% 0.24/0.44 spl1_3 | spl1_4 | spl1_5 | spl1_6),
% 0.24/0.44 inference(avatar_split_clause,[],[f275,f327,f323,f319,f315])).
% 0.24/0.44 thf(f275,plain,(
% 0.24/0.44 ((sK0 @ sK3 @ sK3) = $false) | ((sK0 @ sK2 @ sK4) = $false) | ((sK0 @ sK6 @ sK14) = $false) | ((sK0 @ sK12 @ sK5) = $false)),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f263])).
% 0.24/0.44 thf(f313,plain,(
% 0.24/0.44 spl1_2),
% 0.24/0.44 inference(avatar_split_clause,[],[f288,f310])).
% 0.24/0.44 thf(f288,plain,(
% 0.24/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (sK0 @ X3 @ X1)) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X2 @ X3) = $false)) )),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f287])).
% 0.24/0.44 thf(f287,plain,(
% 0.24/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((sK0 @ X2 @ X1) & (sK0 @ X2 @ X3)) = $false) | ($true = (sK0 @ X3 @ X1))) )),
% 0.24/0.44 inference(binary_proxy_clausification,[],[f286])).
% 0.24/0.44 thf(f286,plain,(
% 0.24/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((sK0 @ X2 @ X1) & (sK0 @ X2 @ X3)) => (sK0 @ X3 @ X1)))) )),
% 0.24/0.44 inference(beta_eta_normalization,[],[f285])).
% 0.24/0.44 thf(f285,plain,(
% 0.24/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((sK0 @ X2 @ X1) & (sK0 @ X2 @ Y0)) => (sK0 @ Y0 @ X1))) @ X3))) )),
% 0.24/0.44 inference(pi_clausification,[],[f284])).
% 0.24/0.44 thf(f284,plain,(
% 0.24/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((sK0 @ X2 @ X1) & (sK0 @ X2 @ Y0)) => (sK0 @ Y0 @ X1)))))) )),
% 0.24/0.44 inference(beta_eta_normalization,[],[f283])).
% 0.24/0.44 thf(f283,plain,(
% 0.24/0.44 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X1) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y1 @ X1))))) @ X2))) )),
% 0.24/0.44 inference(pi_clausification,[],[f282])).
% 0.24/0.44 thf(f282,plain,(
% 0.24/0.44 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X1) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y1 @ X1)))))))) )),
% 0.24/0.44 inference(beta_eta_normalization,[],[f281])).
% 0.24/0.44 thf(f281,plain,(
% 0.24/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y2 @ Y0))))))) @ X1))) )),
% 0.24/0.44 inference(pi_clausification,[],[f280])).
% 0.24/0.44 thf(f280,plain,(
% 0.24/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y1 @ Y2)) => (sK0 @ Y2 @ Y0)))))))) = $true)),
% 0.24/0.44 inference(beta_eta_normalization,[],[f279])).
% 0.24/0.44 thf(f279,plain,(
% 0.24/0.44 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y3 @ Y1))))))))) @ sK0))),
% 0.24/0.44 inference(duplicate_literal_removal,[],[f157])).
% 0.24/0.44 thf(f157,plain,(
% 0.24/0.44 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y3 @ Y1))))))))) @ sK0)) | ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y3 @ Y1))))))))) @ sK0))),
% 0.24/0.44 inference(definition_unfolding,[],[f101,f124,f124])).
% 0.24/0.44 thf(f101,plain,(
% 0.24/0.44 ($true = (meuclidean @ sK0)) | ($true = (meuclidean @ sK0))),
% 0.24/0.44 inference(cnf_transformation,[],[f99])).
% 0.24/0.44 % SZS output end Proof for theBenchmark
% 0.24/0.44 % (11283)------------------------------
% 0.24/0.44 % (11283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (11283)Termination reason: Refutation
% 0.24/0.44
% 0.24/0.44 % (11283)Memory used [KB]: 6012
% 0.24/0.44 % (11283)Time elapsed: 0.035 s
% 0.24/0.44 % (11283)Instructions burned: 40 (million)
% 0.24/0.44 % (11283)------------------------------
% 0.24/0.44 % (11283)------------------------------
% 0.24/0.44 % (11282)Success in time 0.055 s
% 0.24/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------