TSTP Solution File: SYO877^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO877^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:09:15 EDT 2024
% Result : Theorem 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO877^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 10:35:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 % (20176)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.38 % (20175)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)
% 0.13/0.38 % (20174)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)
% 0.13/0.38 % (20174)Instruction limit reached!
% 0.13/0.38 % (20174)------------------------------
% 0.13/0.38 % (20174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (20174)Termination reason: Unknown
% 0.13/0.38 % (20174)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (20173)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (20174)Memory used [KB]: 1151
% 0.13/0.38 % (20174)Time elapsed: 0.003 s
% 0.13/0.38 % (20174)Instructions burned: 2 (million)
% 0.13/0.38 % (20174)------------------------------
% 0.13/0.38 % (20174)------------------------------
% 0.13/0.38 % (20170)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.38 % (20172)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)
% 0.13/0.38 % (20171)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)
% 0.13/0.38 % (20177)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)
% 0.13/0.38 % (20173)Instruction limit reached!
% 0.13/0.38 % (20173)------------------------------
% 0.13/0.38 % (20173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (20173)Termination reason: Unknown
% 0.13/0.38 % (20173)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (20173)Memory used [KB]: 1151
% 0.13/0.38 % (20173)Time elapsed: 0.003 s
% 0.13/0.38 % (20173)Instructions burned: 2 (million)
% 0.13/0.38 % (20173)------------------------------
% 0.13/0.38 % (20173)------------------------------
% 0.13/0.38 % (20177)Instruction limit reached!
% 0.13/0.38 % (20177)------------------------------
% 0.13/0.38 % (20177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (20177)Termination reason: Unknown
% 0.13/0.38 % (20177)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (20177)Memory used [KB]: 1279
% 0.13/0.38 % (20177)Time elapsed: 0.004 s
% 0.13/0.38 % (20177)Instructions burned: 3 (million)
% 0.13/0.38 % (20177)------------------------------
% 0.13/0.38 % (20177)------------------------------
% 0.13/0.38 % (20171)Instruction limit reached!
% 0.13/0.38 % (20171)------------------------------
% 0.13/0.38 % (20171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (20171)Termination reason: Unknown
% 0.13/0.38 % (20171)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (20171)Memory used [KB]: 1279
% 0.13/0.38 % (20171)Time elapsed: 0.005 s
% 0.13/0.38 % (20171)Instructions burned: 5 (million)
% 0.13/0.38 % (20171)------------------------------
% 0.13/0.38 % (20171)------------------------------
% 0.20/0.39 % (20176)Instruction limit reached!
% 0.20/0.39 % (20176)------------------------------
% 0.20/0.39 % (20176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (20176)Termination reason: Unknown
% 0.20/0.39 % (20176)Termination phase: shuffling
% 0.20/0.39
% 0.20/0.39 % (20176)Memory used [KB]: 1535
% 0.20/0.39 % (20176)Time elapsed: 0.010 s
% 0.20/0.39 % (20176)Instructions burned: 18 (million)
% 0.20/0.39 % (20176)------------------------------
% 0.20/0.39 % (20176)------------------------------
% 0.20/0.39 % (20172)Instruction limit reached!
% 0.20/0.39 % (20172)------------------------------
% 0.20/0.39 % (20172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (20172)Termination reason: Unknown
% 0.20/0.39 % (20172)Termination phase: Property scanning
% 0.20/0.39
% 0.20/0.39 % (20172)Memory used [KB]: 1535
% 0.20/0.39 % (20172)Time elapsed: 0.016 s
% 0.20/0.39 % (20172)Instructions burned: 28 (million)
% 0.20/0.39 % (20172)------------------------------
% 0.20/0.39 % (20172)------------------------------
% 0.20/0.39 % (20175)Refutation not found, incomplete strategy
% 0.20/0.39 % (20175)------------------------------
% 0.20/0.39 % (20175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (20175)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 % (20175)Memory used [KB]: 6012
% 0.20/0.39 % (20175)Time elapsed: 0.017 s
% 0.20/0.39 % (20175)Instructions burned: 34 (million)
% 0.20/0.39 % (20175)------------------------------
% 0.20/0.39 % (20175)------------------------------
% 0.20/0.39 % (20178)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)
% 0.20/0.39 % (20179)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)
% 0.20/0.40 % (20180)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)
% 0.20/0.40 % (20180)Instruction limit reached!
% 0.20/0.40 % (20180)------------------------------
% 0.20/0.40 % (20180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (20180)Termination reason: Unknown
% 0.20/0.40 % (20180)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (20180)Memory used [KB]: 1279
% 0.20/0.40 % (20180)Time elapsed: 0.004 s
% 0.20/0.40 % (20180)Instructions burned: 4 (million)
% 0.20/0.40 % (20180)------------------------------
% 0.20/0.40 % (20180)------------------------------
% 0.20/0.40 % (20181)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)
% 0.20/0.40 % (20179)Instruction limit reached!
% 0.20/0.40 % (20179)------------------------------
% 0.20/0.40 % (20179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (20179)Termination reason: Unknown
% 0.20/0.40 % (20179)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (20179)Memory used [KB]: 1535
% 0.20/0.40 % (20179)Time elapsed: 0.010 s
% 0.20/0.40 % (20179)Instructions burned: 16 (million)
% 0.20/0.40 % (20179)------------------------------
% 0.20/0.40 % (20179)------------------------------
% 0.20/0.41 % (20183)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.41 % (20178)Instruction limit reached!
% 0.20/0.41 % (20178)------------------------------
% 0.20/0.41 % (20178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (20178)Termination reason: Unknown
% 0.20/0.41 % (20178)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (20178)Memory used [KB]: 1535
% 0.20/0.41 % (20178)Time elapsed: 0.018 s
% 0.20/0.41 % (20178)Instructions burned: 38 (million)
% 0.20/0.41 % (20178)------------------------------
% 0.20/0.41 % (20178)------------------------------
% 0.20/0.41 % (20185)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.41 % (20184)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)
% 0.20/0.41 % (20185)Instruction limit reached!
% 0.20/0.41 % (20185)------------------------------
% 0.20/0.41 % (20185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (20185)Termination reason: Unknown
% 0.20/0.41 % (20185)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (20185)Memory used [KB]: 1279
% 0.20/0.41 % (20185)Time elapsed: 0.004 s
% 0.20/0.41 % (20185)Instructions burned: 4 (million)
% 0.20/0.41 % (20185)------------------------------
% 0.20/0.41 % (20185)------------------------------
% 0.20/0.41 % (20184)Instruction limit reached!
% 0.20/0.41 % (20184)------------------------------
% 0.20/0.41 % (20184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (20184)Termination reason: Unknown
% 0.20/0.41 % (20184)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (20184)Memory used [KB]: 1151
% 0.20/0.41 % (20184)Time elapsed: 0.003 s
% 0.20/0.41 % (20184)Instructions burned: 3 (million)
% 0.20/0.41 % (20184)------------------------------
% 0.20/0.41 % (20184)------------------------------
% 0.20/0.42 % (20183)Instruction limit reached!
% 0.20/0.42 % (20183)------------------------------
% 0.20/0.42 % (20183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (20183)Termination reason: Unknown
% 0.20/0.42 % (20183)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (20183)Memory used [KB]: 1535
% 0.20/0.42 % (20183)Time elapsed: 0.010 s
% 0.20/0.42 % (20183)Instructions burned: 16 (million)
% 0.20/0.42 % (20183)------------------------------
% 0.20/0.42 % (20183)------------------------------
% 0.20/0.42 % (20186)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.42 % (20182)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.42 % (20186)Instruction limit reached!
% 0.20/0.42 % (20186)------------------------------
% 0.20/0.42 % (20186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (20186)Termination reason: Unknown
% 0.20/0.42 % (20186)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (20186)Memory used [KB]: 1279
% 0.20/0.42 % (20186)Time elapsed: 0.006 s
% 0.20/0.42 % (20186)Instructions burned: 8 (million)
% 0.20/0.42 % (20186)------------------------------
% 0.20/0.42 % (20186)------------------------------
% 0.20/0.43 % (20182)Instruction limit reached!
% 0.20/0.43 % (20182)------------------------------
% 0.20/0.43 % (20182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (20182)Termination reason: Unknown
% 0.20/0.43 % (20182)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (20182)Memory used [KB]: 1279
% 0.20/0.43 % (20182)Time elapsed: 0.006 s
% 0.20/0.43 % (20182)Instructions burned: 8 (million)
% 0.20/0.43 % (20182)------------------------------
% 0.20/0.43 % (20182)------------------------------
% 0.20/0.43 % (20187)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43 % (20170)First to succeed.
% 0.20/0.43 % (20187)Instruction limit reached!
% 0.20/0.43 % (20187)------------------------------
% 0.20/0.43 % (20187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (20187)Termination reason: Unknown
% 0.20/0.43 % (20187)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (20187)Memory used [KB]: 1151
% 0.20/0.43 % (20187)Time elapsed: 0.003 s
% 0.20/0.43 % (20187)Instructions burned: 3 (million)
% 0.20/0.43 % (20187)------------------------------
% 0.20/0.43 % (20187)------------------------------
% 0.20/0.43 % (20189)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.43 % (20188)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.43 % (20190)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.43 % (20188)Instruction limit reached!
% 0.20/0.43 % (20188)------------------------------
% 0.20/0.43 % (20188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (20188)Termination reason: Unknown
% 0.20/0.43 % (20188)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (20188)Memory used [KB]: 1279
% 0.20/0.43 % (20188)Time elapsed: 0.004 s
% 0.20/0.43 % (20188)Instructions burned: 5 (million)
% 0.20/0.43 % (20188)------------------------------
% 0.20/0.43 % (20188)------------------------------
% 0.20/0.44 % (20191)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44 % (20189)Instruction limit reached!
% 0.20/0.44 % (20189)------------------------------
% 0.20/0.44 % (20189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (20189)Termination reason: Unknown
% 0.20/0.44 % (20189)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (20189)Memory used [KB]: 1535
% 0.20/0.44 % (20189)Time elapsed: 0.011 s
% 0.20/0.44 % (20189)Instructions burned: 18 (million)
% 0.20/0.44 % (20189)------------------------------
% 0.20/0.44 % (20189)------------------------------
% 0.20/0.44 % (20191)Instruction limit reached!
% 0.20/0.44 % (20191)------------------------------
% 0.20/0.44 % (20191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (20191)Termination reason: Unknown
% 0.20/0.44 % (20191)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (20191)Memory used [KB]: 1279
% 0.20/0.44 % (20191)Time elapsed: 0.005 s
% 0.20/0.44 % (20191)Instructions burned: 7 (million)
% 0.20/0.44 % (20191)------------------------------
% 0.20/0.44 % (20191)------------------------------
% 0.20/0.44 % (20192)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.20/0.44 % (20170)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Theorem for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% 0.20/0.44 thf(func_def_0, type, c_Eps_i: ($i > $o) > $i).
% 0.20/0.44 thf(func_def_3, type, c_not: $o > $o).
% 0.20/0.44 thf(func_def_4, type, c_and: $o > $o > $o).
% 0.20/0.44 thf(func_def_5, type, c_or: $o > $o > $o).
% 0.20/0.44 thf(func_def_6, type, c_iff: $o > $o > $o).
% 0.20/0.44 thf(func_def_7, type, c_In: $i > $i > $o).
% 0.20/0.44 thf(func_def_8, type, c_Subq: $i > $i > $o).
% 0.20/0.44 thf(func_def_10, type, c_Union: $i > $i).
% 0.20/0.44 thf(func_def_11, type, c_Power: $i > $i).
% 0.20/0.44 thf(func_def_12, type, c_Repl: $i > ($i > $i) > $i).
% 0.20/0.44 thf(func_def_13, type, c_TransSet: $i > $o).
% 0.20/0.44 thf(func_def_14, type, c_atleast2: $i > $o).
% 0.20/0.44 thf(func_def_15, type, c_atleast3: $i > $o).
% 0.20/0.44 thf(func_def_16, type, c_atleast4: $i > $o).
% 0.20/0.44 thf(func_def_17, type, c_atleast5: $i > $o).
% 0.20/0.44 thf(func_def_18, type, c_atleast6: $i > $o).
% 0.20/0.44 thf(func_def_19, type, c_exactly2: $i > $o).
% 0.20/0.44 thf(func_def_20, type, c_exactly3: $i > $o).
% 0.20/0.44 thf(func_def_21, type, c_exactly4: $i > $o).
% 0.20/0.44 thf(func_def_22, type, c_exactly5: $i > $o).
% 0.20/0.44 thf(func_def_23, type, c_exu_i: ($i > $o) > $o).
% 0.20/0.44 thf(func_def_24, type, c_reflexive_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_25, type, c_irreflexive_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_26, type, c_symmetric_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_27, type, c_antisymmetric_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_28, type, c_transitive_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_29, type, c_eqreln_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_30, type, c_per_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_31, type, c_linear_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_32, type, c_trichotomous_or_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_33, type, c_partialorder_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_34, type, c_totalorder_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_35, type, c_strictpartialorder_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_36, type, c_stricttotalorder_i: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_37, type, c_If_i: $o > $i > $i > $i).
% 0.20/0.44 thf(func_def_38, type, c_exactly1of2: $o > $o > $o).
% 0.20/0.44 thf(func_def_39, type, c_exactly1of3: $o > $o > $o > $o).
% 0.20/0.44 thf(func_def_40, type, c_nIn: $i > $i > $o).
% 0.20/0.44 thf(func_def_41, type, c_nSubq: $i > $i > $o).
% 0.20/0.44 thf(func_def_42, type, c_UPair: $i > $i > $i).
% 0.20/0.44 thf(func_def_43, type, c_Sing: $i > $i).
% 0.20/0.44 thf(func_def_44, type, c_binunion: $i > $i > $i).
% 0.20/0.44 thf(func_def_45, type, c_SetAdjoin: $i > $i > $i).
% 0.20/0.44 thf(func_def_46, type, c_famunion: $i > ($i > $i) > $i).
% 0.20/0.44 thf(func_def_47, type, c_Sep: $i > ($i > $o) > $i).
% 0.20/0.44 thf(func_def_48, type, c_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 0.20/0.44 thf(func_def_49, type, c_binintersect: $i > $i > $i).
% 0.20/0.44 thf(func_def_50, type, c_setminus: $i > $i > $i).
% 0.20/0.44 thf(func_def_51, type, c_inj: $i > $i > ($i > $i) > $o).
% 0.20/0.44 thf(func_def_52, type, c_bij: $i > $i > ($i > $i) > $o).
% 0.20/0.44 thf(func_def_53, type, c_atleastp: $i > $i > $o).
% 0.20/0.44 thf(func_def_54, type, c_equip: $i > $i > $o).
% 0.20/0.44 thf(func_def_55, type, c_In_rec_poly_G_i: ($i > ($i > $i) > $i) > $i > $i > $o).
% 0.20/0.44 thf(func_def_56, type, c_In_rec_poly_i: ($i > ($i > $i) > $i) > $i > $i).
% 0.20/0.44 thf(func_def_57, type, c_ordsucc: $i > $i).
% 0.20/0.44 thf(func_def_58, type, c_nat_p: $i > $o).
% 0.20/0.44 thf(func_def_59, type, c_nat_primrec: $i > ($i > $i > $i) > $i > $i).
% 0.20/0.44 thf(func_def_60, type, c_add_nat: $i > $i > $i).
% 0.20/0.44 thf(func_def_61, type, c_mul_nat: $i > $i > $i).
% 0.20/0.44 thf(func_def_62, type, c_ordinal: $i > $o).
% 0.20/0.44 thf(func_def_63, type, c_V_: $i > $i).
% 0.20/0.44 thf(func_def_64, type, c_Inj1: $i > $i).
% 0.20/0.44 thf(func_def_65, type, c_Inj0: $i > $i).
% 0.20/0.44 thf(func_def_66, type, c_Unj: $i > $i).
% 0.20/0.44 thf(func_def_67, type, c_combine_funcs: $i > $i > ($i > $i) > ($i > $i) > $i > $i).
% 0.20/0.44 thf(func_def_68, type, c_setsum: $i > $i > $i).
% 0.20/0.44 thf(func_def_69, type, c_proj0: $i > $i).
% 0.20/0.44 thf(func_def_70, type, c_proj1: $i > $i).
% 0.20/0.44 thf(func_def_71, type, c_binrep: $i > $i > $i).
% 0.20/0.44 thf(func_def_72, type, c_lam: $i > ($i > $i) > $i).
% 0.20/0.44 thf(func_def_73, type, c_setprod: $i > $i > $i).
% 0.20/0.44 thf(func_def_74, type, c_ap: $i > $i > $i).
% 0.20/0.44 thf(func_def_75, type, c_setsum_p: $i > $o).
% 0.20/0.44 thf(func_def_76, type, c_tuple_p: $i > $i > $o).
% 0.20/0.44 thf(func_def_77, type, c_Pi: $i > ($i > $i) > $i).
% 0.20/0.44 thf(func_def_78, type, c_setexp: $i > $i > $i).
% 0.20/0.44 thf(func_def_79, type, c_Sep2: $i > ($i > $i) > ($i > $i > $o) > $i).
% 0.20/0.44 thf(func_def_80, type, c_set_of_pairs: $i > $o).
% 0.20/0.44 thf(func_def_81, type, c_lam2: $i > ($i > $i) > ($i > $i > $i) > $i).
% 0.20/0.44 thf(func_def_82, type, c_PNoEq_: $i > ($i > $o) > ($i > $o) > $o).
% 0.20/0.44 thf(func_def_83, type, c_PNoLt_: $i > ($i > $o) > ($i > $o) > $o).
% 0.20/0.44 thf(func_def_84, type, c_PNoLt: $i > ($i > $o) > $i > ($i > $o) > $o).
% 0.20/0.44 thf(func_def_85, type, c_PNoLe: $i > ($i > $o) > $i > ($i > $o) > $o).
% 0.20/0.44 thf(func_def_86, type, c_PNo_downc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 0.20/0.44 thf(func_def_87, type, c_PNo_upc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 0.20/0.44 thf(func_def_88, type, c_SNoElts_: $i > $i).
% 0.20/0.44 thf(func_def_89, type, c_SNo_: $i > $i > $o).
% 0.20/0.44 thf(func_def_90, type, c_PSNo: $i > ($i > $o) > $i).
% 0.20/0.44 thf(func_def_91, type, c_SNo: $i > $o).
% 0.20/0.44 thf(func_def_92, type, c_SNoLev: $i > $i).
% 0.20/0.44 thf(func_def_93, type, c_SNoEq_: $i > $i > $i > $o).
% 0.20/0.44 thf(func_def_94, type, c_SNoLt: $i > $i > $o).
% 0.20/0.44 thf(func_def_95, type, c_SNoLe: $i > $i > $o).
% 0.20/0.44 thf(func_def_96, type, c_binop_on: $i > ($i > $i > $i) > $o).
% 0.20/0.44 thf(func_def_97, type, c_Loop: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > $o).
% 0.20/0.44 thf(func_def_98, type, c_Loop_with_defs: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 0.20/0.44 thf(func_def_99, type, c_Loop_with_defs_cex1: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 0.20/0.44 thf(func_def_100, type, c_Loop_with_defs_cex2: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 0.20/0.44 thf(func_def_101, type, c_combinator: $i > $o).
% 0.20/0.44 thf(func_def_102, type, c_combinator_equiv: $i > $i > $o).
% 0.20/0.44 thf(func_def_103, type, c_equip_mod: $i > $i > $i > $o).
% 0.20/0.44 thf(func_def_131, type, sP0: ($i > $o) > $o).
% 0.20/0.44 thf(func_def_132, type, sP1: ($i > $o) > $o).
% 0.20/0.44 thf(func_def_133, type, sK2: ($i > $o) > $i).
% 0.20/0.44 thf(func_def_134, type, sK3: ($i > $o) > $i).
% 0.20/0.44 thf(func_def_135, type, sK4: ($i > $o) > $i).
% 0.20/0.44 thf(func_def_136, type, sK5: ($i > $o) > $i).
% 0.20/0.44 thf(func_def_137, type, sK6: ($i > $o) > $i > $i).
% 0.20/0.44 thf(func_def_138, type, sK7: ($i > $o) > $i).
% 0.20/0.44 thf(func_def_139, type, sK8: ($i > $o) > $i).
% 0.20/0.44 thf(func_def_141, type, sK10: $i > $i > $i).
% 0.20/0.44 thf(func_def_142, type, sK11: $i > $i > $i).
% 0.20/0.44 thf(func_def_143, type, sK12: $i > $i > $i > $o).
% 0.20/0.44 thf(func_def_144, type, sK13: $o > $o > $o).
% 0.20/0.44 thf(func_def_145, type, sK14: $o > $o > $o).
% 0.20/0.44 thf(func_def_146, type, sK15: $i > ($i > $i) > $i > $i).
% 0.20/0.44 thf(func_def_147, type, sK16: $i > $i > ($i > $i) > $i > $o).
% 0.20/0.44 thf(func_def_150, type, sK19: $i > $i > $i).
% 0.20/0.44 thf(func_def_151, type, sK20: $i > $i > $i).
% 0.20/0.44 thf(func_def_153, type, ph21: !>[X0: $tType]:(X0)).
% 0.20/0.44 thf(f831,plain,(
% 0.20/0.44 $false),
% 0.20/0.44 inference(avatar_sat_refutation,[],[f703,f806,f826])).
% 0.20/0.44 thf(f826,plain,(
% 0.20/0.44 ~spl9_1),
% 0.20/0.44 inference(avatar_contradiction_clause,[],[f825])).
% 0.20/0.44 thf(f825,plain,(
% 0.20/0.44 $false | ~spl9_1),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f815])).
% 0.20/0.44 thf(f815,plain,(
% 0.20/0.44 ($false = $true) | ~spl9_1),
% 0.20/0.44 inference(superposition,[],[f667,f689])).
% 0.20/0.44 thf(f689,plain,(
% 0.20/0.44 ( ! [X0 : $o] : (($true = X0)) ) | ~spl9_1),
% 0.20/0.44 inference(avatar_component_clause,[],[f688])).
% 0.20/0.44 thf(f688,plain,(
% 0.20/0.44 spl9_1 <=> ! [X0 : $o] : ($true = X0)),
% 0.20/0.44 introduced(avatar_definition,[new_symbols(naming,[spl9_1])])).
% 0.20/0.44 thf(f667,plain,(
% 0.20/0.44 ($false = sK17)),
% 0.20/0.44 inference(beta_eta_normalization,[],[f666])).
% 0.20/0.44 thf(f666,plain,(
% 0.20/0.44 ($false = ((^[Y0 : $o]: (Y0)) @ sK17))),
% 0.20/0.44 inference(sigma_clausification,[],[f644])).
% 0.20/0.44 thf(f644,plain,(
% 0.20/0.44 ($false = (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f643])).
% 0.20/0.44 thf(f643,plain,(
% 0.20/0.44 (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $i > $i) @ (^[Y3 : $i > $i > $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: ((((Y3 @ (Y3 @ Y0 @ (Y3 @ Y5 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y0) @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y4 @ (Y3 @ Y4 @ Y4))) @ Y0))) @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y2 @ Y5) @ Y0) @ (Y3 @ Y0 @ Y0))) @ (Y3 @ Y4 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y4) @ Y5)) @ (Y2 @ (Y3 @ Y5 @ Y0)))) @ Y4) @ (Y2 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ (Y3 @ Y0 @ Y5)) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y2 @ Y0) @ Y4)) @ Y4) @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y5 @ Y0) @ Y5)) @ Y4)) @ Y5) @ (Y3 @ Y5 @ (Y3 @ Y0 @ Y0))) @ Y4))))))))))))) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ Y0 @ Y0)) @ (Y2 @ (Y2 @ (Y3 @ Y5 @ (Y2 @ (Y2 @ (Y3 @ Y5 @ Y0))))))) @ Y0) @ Y4) @ (Y3 @ Y4 @ Y5)))) @ Y0) @ Y0) @ (Y2 @ Y4)))) @ (Y3 @ (Y3 @ (Y2 @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ Y0 @ Y4) @ Y5))) @ (Y2 @ (Y3 @ Y0 @ Y0)))) @ Y0) @ (Y2 @ Y0)) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ Y5) @ (Y2 @ (Y2 @ (Y2 @ Y5)))) @ Y5) @ Y4) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ Y0) @ (Y2 @ Y4)) @ Y4))) @ Y5) @ Y4)) = Y4) => ((Y1 @ (Y2 @ Y0)) => Y6)) => Y6))))))))))))))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) != $true)),
% 0.20/0.44 inference(beta_eta_normalization,[],[f524])).
% 0.20/0.44 thf(f524,plain,(
% 0.20/0.44 (((^[Y0 : $o]: (Y0 => (!! @ $o @ (^[Y1 : $o]: (Y1))))) @ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $i > $i) @ (^[Y3 : $i > $i > $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ ((Y3 @ (Y3 @ Y0 @ (Y3 @ Y5 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y0) @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y4 @ (Y3 @ Y4 @ Y4))) @ Y0))) @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y2 @ Y5) @ Y0) @ (Y3 @ Y0 @ Y0))) @ (Y3 @ Y4 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y4) @ Y5)) @ (Y2 @ (Y3 @ Y5 @ Y0)))) @ Y4) @ (Y2 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ (Y3 @ Y0 @ Y5)) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y2 @ Y0) @ Y4)) @ Y4) @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y5 @ Y0) @ Y5)) @ Y4)) @ Y5) @ (Y3 @ Y5 @ (Y3 @ Y0 @ Y0))) @ Y4))))))))))))) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ Y0 @ Y0)) @ (Y2 @ (Y2 @ (Y3 @ Y5 @ (Y2 @ (Y2 @ (Y3 @ Y5 @ Y0))))))) @ Y0) @ Y4) @ (Y3 @ Y4 @ Y5)))) @ Y0) @ Y0) @ (Y2 @ Y4)))) @ (Y3 @ (Y3 @ (Y2 @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ Y0 @ Y4) @ Y5))) @ (Y2 @ (Y3 @ Y0 @ Y0)))) @ Y0) @ (Y2 @ Y0)) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ Y5) @ (Y2 @ (Y2 @ (Y2 @ Y5)))) @ Y5) @ Y4) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ Y0) @ (Y2 @ Y4)) @ Y4))) @ Y5) @ Y4)) = Y4) @ (Y1 @ (Y2 @ Y0)))))))))))))))) != $true)),
% 0.20/0.44 inference(definition_unfolding,[],[f354,f435,f366])).
% 0.20/0.44 thf(f366,plain,(
% 0.20/0.44 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))),
% 0.20/0.44 inference(cnf_transformation,[],[f134])).
% 0.20/0.44 thf(f134,plain,(
% 0.20/0.44 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))),
% 0.20/0.44 inference(fool_elimination,[],[f133])).
% 0.20/0.44 thf(f133,plain,(
% 0.20/0.44 ((^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))) = c_and)),
% 0.20/0.44 inference(rectify,[],[f14])).
% 0.20/0.44 thf(f14,axiom,(
% 0.20/0.44 ((^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))) = c_and)),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14)).
% 0.20/0.44 thf(f435,plain,(
% 0.20/0.44 (c_not = (^[Y0 : $o]: (Y0 => (!! @ $o @ (^[Y1 : $o]: (Y1))))))),
% 0.20/0.44 inference(definition_unfolding,[],[f386,f339])).
% 0.20/0.44 thf(f339,plain,(
% 0.20/0.44 (c_False = (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 0.20/0.44 inference(cnf_transformation,[],[f197])).
% 0.20/0.44 thf(f197,plain,(
% 0.20/0.44 (c_False = (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 0.20/0.44 inference(fool_elimination,[],[f196])).
% 0.20/0.44 thf(f196,plain,(
% 0.20/0.44 (! [X0 : $o] : X0 = c_False)),
% 0.20/0.44 inference(rectify,[],[f11])).
% 0.20/0.44 thf(f11,axiom,(
% 0.20/0.44 (! [X0 : $o] : X0 = c_False)),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11)).
% 0.20/0.44 thf(f386,plain,(
% 0.20/0.44 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 0.20/0.44 inference(cnf_transformation,[],[f195])).
% 0.20/0.44 thf(f195,plain,(
% 0.20/0.44 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 0.20/0.44 inference(fool_elimination,[],[f194])).
% 0.20/0.44 thf(f194,plain,(
% 0.20/0.44 (c_not = (^[X0 : $o] : (X0 => c_False)))),
% 0.20/0.44 inference(rectify,[],[f13])).
% 0.20/0.44 thf(f13,axiom,(
% 0.20/0.44 (c_not = (^[X0 : $o] : (X0 => c_False)))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13)).
% 0.20/0.44 thf(f354,plain,(
% 0.20/0.44 ($true != (c_not @ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $i > $i) @ (^[Y3 : $i > $i > $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (c_and @ ((Y3 @ (Y3 @ Y0 @ (Y3 @ Y5 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y0) @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y4 @ (Y3 @ Y4 @ Y4))) @ Y0))) @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y2 @ Y5) @ Y0) @ (Y3 @ Y0 @ Y0))) @ (Y3 @ Y4 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y4) @ Y5)) @ (Y2 @ (Y3 @ Y5 @ Y0)))) @ Y4) @ (Y2 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ (Y3 @ Y0 @ Y5)) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y2 @ Y0) @ Y4)) @ Y4) @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y5 @ Y0) @ Y5)) @ Y4)) @ Y5) @ (Y3 @ Y5 @ (Y3 @ Y0 @ Y0))) @ Y4))))))))))))) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ Y0 @ Y0)) @ (Y2 @ (Y2 @ (Y3 @ Y5 @ (Y2 @ (Y2 @ (Y3 @ Y5 @ Y0))))))) @ Y0) @ Y4) @ (Y3 @ Y4 @ Y5)))) @ Y0) @ Y0) @ (Y2 @ Y4)))) @ (Y3 @ (Y3 @ (Y2 @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ Y0 @ Y4) @ Y5))) @ (Y2 @ (Y3 @ Y0 @ Y0)))) @ Y0) @ (Y2 @ Y0)) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ Y5) @ (Y2 @ (Y2 @ (Y2 @ Y5)))) @ Y5) @ Y4) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ Y0) @ (Y2 @ Y4)) @ Y4))) @ Y5) @ Y4)) = Y4) @ (Y1 @ (Y2 @ Y0)))))))))))))))))),
% 0.20/0.44 inference(cnf_transformation,[],[f289])).
% 0.20/0.44 thf(f289,plain,(
% 0.20/0.44 ($true != (c_not @ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $i > $i) @ (^[Y3 : $i > $i > $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (c_and @ ((Y3 @ (Y3 @ Y0 @ (Y3 @ Y5 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y0) @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y4 @ (Y3 @ Y4 @ Y4))) @ Y0))) @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y2 @ Y5) @ Y0) @ (Y3 @ Y0 @ Y0))) @ (Y3 @ Y4 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y4) @ Y5)) @ (Y2 @ (Y3 @ Y5 @ Y0)))) @ Y4) @ (Y2 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ (Y3 @ Y0 @ Y5)) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y2 @ Y0) @ Y4)) @ Y4) @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y5 @ Y0) @ Y5)) @ Y4)) @ Y5) @ (Y3 @ Y5 @ (Y3 @ Y0 @ Y0))) @ Y4))))))))))))) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ Y0 @ Y0)) @ (Y2 @ (Y2 @ (Y3 @ Y5 @ (Y2 @ (Y2 @ (Y3 @ Y5 @ Y0))))))) @ Y0) @ Y4) @ (Y3 @ Y4 @ Y5)))) @ Y0) @ Y0) @ (Y2 @ Y4)))) @ (Y3 @ (Y3 @ (Y2 @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ Y0 @ Y4) @ Y5))) @ (Y2 @ (Y3 @ Y0 @ Y0)))) @ Y0) @ (Y2 @ Y0)) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ Y5) @ (Y2 @ (Y2 @ (Y2 @ Y5)))) @ Y5) @ Y4) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ Y0) @ (Y2 @ Y4)) @ Y4))) @ Y5) @ Y4)) = Y4) @ (Y1 @ (Y2 @ Y0)))))))))))))))))),
% 0.20/0.44 inference(flattening,[],[f265])).
% 0.20/0.44 thf(f265,plain,(
% 0.20/0.44 ~($true = (c_not @ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $i > $i) @ (^[Y3 : $i > $i > $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (c_and @ ((Y3 @ (Y3 @ Y0 @ (Y3 @ Y5 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y0) @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y4 @ (Y3 @ Y4 @ Y4))) @ Y0))) @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y2 @ Y5) @ Y0) @ (Y3 @ Y0 @ Y0))) @ (Y3 @ Y4 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y4) @ Y5)) @ (Y2 @ (Y3 @ Y5 @ Y0)))) @ Y4) @ (Y2 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ (Y3 @ Y0 @ Y5)) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y2 @ Y0) @ Y4)) @ Y4) @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y5 @ Y0) @ Y5)) @ Y4)) @ Y5) @ (Y3 @ Y5 @ (Y3 @ Y0 @ Y0))) @ Y4))))))))))))) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ Y0 @ Y0)) @ (Y2 @ (Y2 @ (Y3 @ Y5 @ (Y2 @ (Y2 @ (Y3 @ Y5 @ Y0))))))) @ Y0) @ Y4) @ (Y3 @ Y4 @ Y5)))) @ Y0) @ Y0) @ (Y2 @ Y4)))) @ (Y3 @ (Y3 @ (Y2 @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ Y0 @ Y4) @ Y5))) @ (Y2 @ (Y3 @ Y0 @ Y0)))) @ Y0) @ (Y2 @ Y0)) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ Y5) @ (Y2 @ (Y2 @ (Y2 @ Y5)))) @ Y5) @ Y4) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ Y0) @ (Y2 @ Y4)) @ Y4))) @ Y5) @ Y4)) = Y4) @ (Y1 @ (Y2 @ Y0)))))))))))))))))),
% 0.20/0.44 inference(fool_elimination,[],[f264])).
% 0.20/0.44 thf(f264,plain,(
% 0.20/0.44 ~(c_not @ ! [X1,X3,X4 : $i > $i > $i,X5 : $i > $i,X6 : $i > $o,X7] : (c_and @ ((X4 @ (X4 @ X7 @ (X4 @ X1 @ (X4 @ (X4 @ (X4 @ (X4 @ X3 @ (X4 @ (X4 @ X7 @ (X4 @ X7 @ (X4 @ (X4 @ X7 @ (X4 @ (X5 @ X7) @ (X4 @ (X4 @ X1 @ (X4 @ X3 @ (X4 @ X3 @ X3))) @ X7))) @ (X4 @ (X5 @ (X4 @ (X4 @ (X5 @ X1) @ X7) @ (X4 @ X7 @ X7))) @ (X4 @ X3 @ (X4 @ X3 @ (X4 @ (X4 @ (X4 @ X7 @ (X4 @ (X4 @ X7 @ (X4 @ (X5 @ X3) @ X1)) @ (X5 @ (X4 @ X1 @ X7)))) @ X3) @ (X5 @ (X4 @ (X4 @ X1 @ (X4 @ X7 @ (X4 @ (X5 @ (X4 @ X7 @ X1)) @ X7))) @ (X4 @ (X4 @ (X4 @ X3 @ (X4 @ (X5 @ X7) @ X3)) @ X3) @ (X5 @ (X5 @ (X4 @ (X4 @ (X4 @ (X4 @ X7 @ (X4 @ (X4 @ X3 @ (X4 @ (X4 @ X1 @ X7) @ X1)) @ X3)) @ X1) @ (X4 @ X1 @ (X4 @ X7 @ X7))) @ X3))))))))))))) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X3 @ (X4 @ X7 @ X7)) @ (X5 @ (X5 @ (X4 @ X1 @ (X5 @ (X5 @ (X4 @ X1 @ X7))))))) @ X7) @ X3) @ (X4 @ X3 @ X1)))) @ X7) @ X7) @ (X5 @ X3)))) @ (X4 @ (X4 @ (X5 @ (X4 @ (X5 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X5 @ (X5 @ (X4 @ (X4 @ X7 @ X3) @ X1))) @ (X5 @ (X4 @ X7 @ X7)))) @ X7) @ (X5 @ X7)) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X7 @ X1) @ (X5 @ (X5 @ (X5 @ X1)))) @ X1) @ X3) @ X7))) @ (X4 @ (X4 @ (X4 @ X3 @ X7) @ (X5 @ X3)) @ X3))) @ X1) @ X3)) = X3) @ (X6 @ (X5 @ X7))))),
% 0.20/0.44 inference(rectify,[],[f110])).
% 0.20/0.44 thf(f110,negated_conjecture,(
% 0.20/0.44 ~(c_not @ ! [X0 : $i > $i > $o,X7,X2 : $i > $o,X6,X1 : $i > $i > $i,X4 : $i > $i,X3 : $i > $o,X5] : (c_and @ ((X1 @ (X1 @ X5 @ (X1 @ X7 @ (X1 @ (X1 @ (X1 @ (X1 @ X6 @ (X1 @ (X1 @ X5 @ (X1 @ X5 @ (X1 @ (X1 @ X5 @ (X1 @ (X4 @ X5) @ (X1 @ (X1 @ X7 @ (X1 @ X6 @ (X1 @ X6 @ X6))) @ X5))) @ (X1 @ (X4 @ (X1 @ (X1 @ (X4 @ X7) @ X5) @ (X1 @ X5 @ X5))) @ (X1 @ X6 @ (X1 @ X6 @ (X1 @ (X1 @ (X1 @ X5 @ (X1 @ (X1 @ X5 @ (X1 @ (X4 @ X6) @ X7)) @ (X4 @ (X1 @ X7 @ X5)))) @ X6) @ (X4 @ (X1 @ (X1 @ X7 @ (X1 @ X5 @ (X1 @ (X4 @ (X1 @ X5 @ X7)) @ X5))) @ (X1 @ (X1 @ (X1 @ X6 @ (X1 @ (X4 @ X5) @ X6)) @ X6) @ (X4 @ (X4 @ (X1 @ (X1 @ (X1 @ (X1 @ X5 @ (X1 @ (X1 @ X6 @ (X1 @ (X1 @ X7 @ X5) @ X7)) @ X6)) @ X7) @ (X1 @ X7 @ (X1 @ X5 @ X5))) @ X6))))))))))))) @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X6 @ (X1 @ X5 @ X5)) @ (X4 @ (X4 @ (X1 @ X7 @ (X4 @ (X4 @ (X1 @ X7 @ X5))))))) @ X5) @ X6) @ (X1 @ X6 @ X7)))) @ X5) @ X5) @ (X4 @ X6)))) @ (X1 @ (X1 @ (X4 @ (X1 @ (X4 @ (X1 @ (X1 @ (X1 @ (X1 @ X7 @ (X1 @ (X4 @ (X4 @ (X1 @ (X1 @ X5 @ X6) @ X7))) @ (X4 @ (X1 @ X5 @ X5)))) @ X5) @ (X4 @ X5)) @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X5 @ X7) @ (X4 @ (X4 @ (X4 @ X7)))) @ X7) @ X6) @ X5))) @ (X1 @ (X1 @ (X1 @ X6 @ X5) @ (X4 @ X6)) @ X6))) @ X7) @ X6)) = X6) @ ? [X8] : (X3 @ (X4 @ X5))))),
% 0.20/0.44 inference(negated_conjecture,[],[f109])).
% 0.20/0.44 thf(f109,conjecture,(
% 0.20/0.44 (c_not @ ! [X0 : $i > $i > $o,X7,X2 : $i > $o,X6,X1 : $i > $i > $i,X4 : $i > $i,X3 : $i > $o,X5] : (c_and @ ((X1 @ (X1 @ X5 @ (X1 @ X7 @ (X1 @ (X1 @ (X1 @ (X1 @ X6 @ (X1 @ (X1 @ X5 @ (X1 @ X5 @ (X1 @ (X1 @ X5 @ (X1 @ (X4 @ X5) @ (X1 @ (X1 @ X7 @ (X1 @ X6 @ (X1 @ X6 @ X6))) @ X5))) @ (X1 @ (X4 @ (X1 @ (X1 @ (X4 @ X7) @ X5) @ (X1 @ X5 @ X5))) @ (X1 @ X6 @ (X1 @ X6 @ (X1 @ (X1 @ (X1 @ X5 @ (X1 @ (X1 @ X5 @ (X1 @ (X4 @ X6) @ X7)) @ (X4 @ (X1 @ X7 @ X5)))) @ X6) @ (X4 @ (X1 @ (X1 @ X7 @ (X1 @ X5 @ (X1 @ (X4 @ (X1 @ X5 @ X7)) @ X5))) @ (X1 @ (X1 @ (X1 @ X6 @ (X1 @ (X4 @ X5) @ X6)) @ X6) @ (X4 @ (X4 @ (X1 @ (X1 @ (X1 @ (X1 @ X5 @ (X1 @ (X1 @ X6 @ (X1 @ (X1 @ X7 @ X5) @ X7)) @ X6)) @ X7) @ (X1 @ X7 @ (X1 @ X5 @ X5))) @ X6))))))))))))) @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X6 @ (X1 @ X5 @ X5)) @ (X4 @ (X4 @ (X1 @ X7 @ (X4 @ (X4 @ (X1 @ X7 @ X5))))))) @ X5) @ X6) @ (X1 @ X6 @ X7)))) @ X5) @ X5) @ (X4 @ X6)))) @ (X1 @ (X1 @ (X4 @ (X1 @ (X4 @ (X1 @ (X1 @ (X1 @ (X1 @ X7 @ (X1 @ (X4 @ (X4 @ (X1 @ (X1 @ X5 @ X6) @ X7))) @ (X4 @ (X1 @ X5 @ X5)))) @ X5) @ (X4 @ X5)) @ (X1 @ (X1 @ (X1 @ (X1 @ (X1 @ X5 @ X7) @ (X4 @ (X4 @ (X4 @ X7)))) @ X7) @ X6) @ X5))) @ (X1 @ (X1 @ (X1 @ X6 @ X5) @ (X4 @ X6)) @ X6))) @ X7) @ X6)) = X6) @ ? [X8] : (X3 @ (X4 @ X5))))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.20/0.44 thf(f806,plain,(
% 0.20/0.44 ~spl9_4),
% 0.20/0.44 inference(avatar_contradiction_clause,[],[f805])).
% 0.20/0.44 thf(f805,plain,(
% 0.20/0.44 $false | ~spl9_4),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f785])).
% 0.20/0.44 thf(f785,plain,(
% 0.20/0.44 ($false = $true) | ~spl9_4),
% 0.20/0.44 inference(superposition,[],[f702,f667])).
% 0.20/0.44 thf(f702,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i] : (((X2 @ (X3 @ X1)) = $true)) ) | ~spl9_4),
% 0.20/0.44 inference(avatar_component_clause,[],[f701])).
% 0.20/0.44 thf(f701,plain,(
% 0.20/0.44 spl9_4 <=> ! [X2 : $i > $o,X1,X3 : $i > $i] : ((X2 @ (X3 @ X1)) = $true)),
% 0.20/0.44 introduced(avatar_definition,[new_symbols(naming,[spl9_4])])).
% 0.20/0.44 thf(f703,plain,(
% 0.20/0.44 spl9_4 | spl9_1),
% 0.20/0.44 inference(avatar_split_clause,[],[f665,f688,f701])).
% 0.20/0.44 thf(f665,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i,X7 : $o] : (((X2 @ (X3 @ X1)) = $true) | ($true = X7)) )),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f661])).
% 0.20/0.44 thf(f661,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i,X7 : $o] : (($true = X7) | (((X2 @ (X3 @ X1)) => X7) = $false)) )),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f660])).
% 0.20/0.44 thf(f660,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $o,X4 : $i > $i > $i,X5 : $i] : (($false = (((X4 @ (X4 @ X1 @ (X4 @ X6 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ X1 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X1) @ (X4 @ (X4 @ X6 @ (X4 @ X5 @ (X4 @ X5 @ X5))) @ X1))) @ (X4 @ (X3 @ (X4 @ (X4 @ (X3 @ X6) @ X1) @ (X4 @ X1 @ X1))) @ (X4 @ X5 @ (X4 @ X5 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X5) @ X6)) @ (X3 @ (X4 @ X6 @ X1)))) @ X5) @ (X3 @ (X4 @ (X4 @ X6 @ (X4 @ X1 @ (X4 @ (X3 @ (X4 @ X1 @ X6)) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X3 @ X1) @ X5)) @ X5) @ (X3 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ X6 @ X1) @ X6)) @ X5)) @ X6) @ (X4 @ X6 @ (X4 @ X1 @ X1))) @ X5))))))))))))) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ X1 @ X1)) @ (X3 @ (X3 @ (X4 @ X6 @ (X3 @ (X3 @ (X4 @ X6 @ X1))))))) @ X1) @ X5) @ (X4 @ X5 @ X6)))) @ X1) @ X1) @ (X3 @ X5)))) @ (X4 @ (X4 @ (X3 @ (X4 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X6 @ (X4 @ (X3 @ (X3 @ (X4 @ (X4 @ X1 @ X5) @ X6))) @ (X3 @ (X4 @ X1 @ X1)))) @ X1) @ (X3 @ X1)) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ X6) @ (X3 @ (X3 @ (X3 @ X6)))) @ X6) @ X5) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ X1) @ (X3 @ X5)) @ X5))) @ X6) @ X5)) = X5) => ((X2 @ (X3 @ X1)) => X7))) | ($true = X7)) )),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f659])).
% 0.20/0.44 thf(f659,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $o,X4 : $i > $i > $i,X5 : $i] : ((((((X4 @ (X4 @ X1 @ (X4 @ X6 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ X1 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X1) @ (X4 @ (X4 @ X6 @ (X4 @ X5 @ (X4 @ X5 @ X5))) @ X1))) @ (X4 @ (X3 @ (X4 @ (X4 @ (X3 @ X6) @ X1) @ (X4 @ X1 @ X1))) @ (X4 @ X5 @ (X4 @ X5 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X5) @ X6)) @ (X3 @ (X4 @ X6 @ X1)))) @ X5) @ (X3 @ (X4 @ (X4 @ X6 @ (X4 @ X1 @ (X4 @ (X3 @ (X4 @ X1 @ X6)) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X3 @ X1) @ X5)) @ X5) @ (X3 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ X6 @ X1) @ X6)) @ X5)) @ X6) @ (X4 @ X6 @ (X4 @ X1 @ X1))) @ X5))))))))))))) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ X1 @ X1)) @ (X3 @ (X3 @ (X4 @ X6 @ (X3 @ (X3 @ (X4 @ X6 @ X1))))))) @ X1) @ X5) @ (X4 @ X5 @ X6)))) @ X1) @ X1) @ (X3 @ X5)))) @ (X4 @ (X4 @ (X3 @ (X4 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X6 @ (X4 @ (X3 @ (X3 @ (X4 @ (X4 @ X1 @ X5) @ X6))) @ (X3 @ (X4 @ X1 @ X1)))) @ X1) @ (X3 @ X1)) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ X6) @ (X3 @ (X3 @ (X3 @ X6)))) @ X6) @ X5) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ X1) @ (X3 @ X5)) @ X5))) @ X6) @ X5)) = X5) => ((X2 @ (X3 @ X1)) => X7)) => X7) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f658])).
% 0.20/0.44 thf(f658,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $o,X4 : $i > $i > $i,X5 : $i] : ((((^[Y0 : $o]: ((((X4 @ (X4 @ X1 @ (X4 @ X6 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ X1 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X1) @ (X4 @ (X4 @ X6 @ (X4 @ X5 @ (X4 @ X5 @ X5))) @ X1))) @ (X4 @ (X3 @ (X4 @ (X4 @ (X3 @ X6) @ X1) @ (X4 @ X1 @ X1))) @ (X4 @ X5 @ (X4 @ X5 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X5) @ X6)) @ (X3 @ (X4 @ X6 @ X1)))) @ X5) @ (X3 @ (X4 @ (X4 @ X6 @ (X4 @ X1 @ (X4 @ (X3 @ (X4 @ X1 @ X6)) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X3 @ X1) @ X5)) @ X5) @ (X3 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ X6 @ X1) @ X6)) @ X5)) @ X6) @ (X4 @ X6 @ (X4 @ X1 @ X1))) @ X5))))))))))))) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ X1 @ X1)) @ (X3 @ (X3 @ (X4 @ X6 @ (X3 @ (X3 @ (X4 @ X6 @ X1))))))) @ X1) @ X5) @ (X4 @ X5 @ X6)))) @ X1) @ X1) @ (X3 @ X5)))) @ (X4 @ (X4 @ (X3 @ (X4 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X6 @ (X4 @ (X3 @ (X3 @ (X4 @ (X4 @ X1 @ X5) @ X6))) @ (X3 @ (X4 @ X1 @ X1)))) @ X1) @ (X3 @ X1)) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ X6) @ (X3 @ (X3 @ (X3 @ X6)))) @ X6) @ X5) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ X1) @ (X3 @ X5)) @ X5))) @ X6) @ X5)) = X5) => ((X2 @ (X3 @ X1)) => Y0)) => Y0)) @ X7) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f657])).
% 0.20/0.44 thf(f657,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i,X6 : $i,X4 : $i > $i > $i,X5 : $i] : (((!! @ $o @ (^[Y0 : $o]: ((((X4 @ (X4 @ X1 @ (X4 @ X6 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ X1 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X1) @ (X4 @ (X4 @ X6 @ (X4 @ X5 @ (X4 @ X5 @ X5))) @ X1))) @ (X4 @ (X3 @ (X4 @ (X4 @ (X3 @ X6) @ X1) @ (X4 @ X1 @ X1))) @ (X4 @ X5 @ (X4 @ X5 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X5) @ X6)) @ (X3 @ (X4 @ X6 @ X1)))) @ X5) @ (X3 @ (X4 @ (X4 @ X6 @ (X4 @ X1 @ (X4 @ (X3 @ (X4 @ X1 @ X6)) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X3 @ X1) @ X5)) @ X5) @ (X3 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ X6 @ X1) @ X6)) @ X5)) @ X6) @ (X4 @ X6 @ (X4 @ X1 @ X1))) @ X5))))))))))))) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ X1 @ X1)) @ (X3 @ (X3 @ (X4 @ X6 @ (X3 @ (X3 @ (X4 @ X6 @ X1))))))) @ X1) @ X5) @ (X4 @ X5 @ X6)))) @ X1) @ X1) @ (X3 @ X5)))) @ (X4 @ (X4 @ (X3 @ (X4 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X6 @ (X4 @ (X3 @ (X3 @ (X4 @ (X4 @ X1 @ X5) @ X6))) @ (X3 @ (X4 @ X1 @ X1)))) @ X1) @ (X3 @ X1)) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ X6) @ (X3 @ (X3 @ (X3 @ X6)))) @ X6) @ X5) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ X1) @ (X3 @ X5)) @ X5))) @ X6) @ X5)) = X5) => ((X2 @ (X3 @ X1)) => Y0)) => Y0))) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f656])).
% 0.20/0.44 thf(f656,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i,X6 : $i,X4 : $i > $i > $i,X5 : $i] : (($true = ((^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: ((((X4 @ (X4 @ X1 @ (X4 @ Y0 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ X1 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X1) @ (X4 @ (X4 @ Y0 @ (X4 @ X5 @ (X4 @ X5 @ X5))) @ X1))) @ (X4 @ (X3 @ (X4 @ (X4 @ (X3 @ Y0) @ X1) @ (X4 @ X1 @ X1))) @ (X4 @ X5 @ (X4 @ X5 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X5) @ Y0)) @ (X3 @ (X4 @ Y0 @ X1)))) @ X5) @ (X3 @ (X4 @ (X4 @ Y0 @ (X4 @ X1 @ (X4 @ (X3 @ (X4 @ X1 @ Y0)) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X3 @ X1) @ X5)) @ X5) @ (X3 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ Y0 @ X1) @ Y0)) @ X5)) @ Y0) @ (X4 @ Y0 @ (X4 @ X1 @ X1))) @ X5))))))))))))) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ X1 @ X1)) @ (X3 @ (X3 @ (X4 @ Y0 @ (X3 @ (X3 @ (X4 @ Y0 @ X1))))))) @ X1) @ X5) @ (X4 @ X5 @ Y0)))) @ X1) @ X1) @ (X3 @ X5)))) @ (X4 @ (X4 @ (X3 @ (X4 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ Y0 @ (X4 @ (X3 @ (X3 @ (X4 @ (X4 @ X1 @ X5) @ Y0))) @ (X3 @ (X4 @ X1 @ X1)))) @ X1) @ (X3 @ X1)) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ Y0) @ (X3 @ (X3 @ (X3 @ Y0)))) @ Y0) @ X5) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ X1) @ (X3 @ X5)) @ X5))) @ Y0) @ X5)) = X5) => ((X2 @ (X3 @ X1)) => Y1)) => Y1)))) @ X6))) )),
% 0.20/0.44 inference(pi_clausification,[],[f655])).
% 0.20/0.44 thf(f655,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i,X4 : $i > $i > $i,X5 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: ((((X4 @ (X4 @ X1 @ (X4 @ Y0 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ X1 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X1) @ (X4 @ (X4 @ Y0 @ (X4 @ X5 @ (X4 @ X5 @ X5))) @ X1))) @ (X4 @ (X3 @ (X4 @ (X4 @ (X3 @ Y0) @ X1) @ (X4 @ X1 @ X1))) @ (X4 @ X5 @ (X4 @ X5 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X5) @ Y0)) @ (X3 @ (X4 @ Y0 @ X1)))) @ X5) @ (X3 @ (X4 @ (X4 @ Y0 @ (X4 @ X1 @ (X4 @ (X3 @ (X4 @ X1 @ Y0)) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ (X3 @ X1) @ X5)) @ X5) @ (X3 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X5 @ (X4 @ (X4 @ Y0 @ X1) @ Y0)) @ X5)) @ Y0) @ (X4 @ Y0 @ (X4 @ X1 @ X1))) @ X5))))))))))))) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X5 @ (X4 @ X1 @ X1)) @ (X3 @ (X3 @ (X4 @ Y0 @ (X3 @ (X3 @ (X4 @ Y0 @ X1))))))) @ X1) @ X5) @ (X4 @ X5 @ Y0)))) @ X1) @ X1) @ (X3 @ X5)))) @ (X4 @ (X4 @ (X3 @ (X4 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ Y0 @ (X4 @ (X3 @ (X3 @ (X4 @ (X4 @ X1 @ X5) @ Y0))) @ (X3 @ (X4 @ X1 @ X1)))) @ X1) @ (X3 @ X1)) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ Y0) @ (X3 @ (X3 @ (X3 @ Y0)))) @ Y0) @ X5) @ X1))) @ (X4 @ (X4 @ (X4 @ X5 @ X1) @ (X3 @ X5)) @ X5))) @ Y0) @ X5)) = X5) => ((X2 @ (X3 @ X1)) => Y1)) => Y1))))) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f654])).
% 0.20/0.44 thf(f654,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i,X4 : $i > $i > $i,X5 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: ((((X4 @ (X4 @ X1 @ (X4 @ Y1 @ (X4 @ (X4 @ (X4 @ (X4 @ Y0 @ (X4 @ (X4 @ X1 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X1) @ (X4 @ (X4 @ Y1 @ (X4 @ Y0 @ (X4 @ Y0 @ Y0))) @ X1))) @ (X4 @ (X3 @ (X4 @ (X4 @ (X3 @ Y1) @ X1) @ (X4 @ X1 @ X1))) @ (X4 @ Y0 @ (X4 @ Y0 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ Y0) @ Y1)) @ (X3 @ (X4 @ Y1 @ X1)))) @ Y0) @ (X3 @ (X4 @ (X4 @ Y1 @ (X4 @ X1 @ (X4 @ (X3 @ (X4 @ X1 @ Y1)) @ X1))) @ (X4 @ (X4 @ (X4 @ Y0 @ (X4 @ (X3 @ X1) @ Y0)) @ Y0) @ (X3 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ Y0 @ (X4 @ (X4 @ Y1 @ X1) @ Y1)) @ Y0)) @ Y1) @ (X4 @ Y1 @ (X4 @ X1 @ X1))) @ Y0))))))))))))) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ Y0 @ (X4 @ X1 @ X1)) @ (X3 @ (X3 @ (X4 @ Y1 @ (X3 @ (X3 @ (X4 @ Y1 @ X1))))))) @ X1) @ Y0) @ (X4 @ Y0 @ Y1)))) @ X1) @ X1) @ (X3 @ Y0)))) @ (X4 @ (X4 @ (X3 @ (X4 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ Y1 @ (X4 @ (X3 @ (X3 @ (X4 @ (X4 @ X1 @ Y0) @ Y1))) @ (X3 @ (X4 @ X1 @ X1)))) @ X1) @ (X3 @ X1)) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ Y1) @ (X3 @ (X3 @ (X3 @ Y1)))) @ Y1) @ Y0) @ X1))) @ (X4 @ (X4 @ (X4 @ Y0 @ X1) @ (X3 @ Y0)) @ Y0))) @ Y1) @ Y0)) = Y0) => ((X2 @ (X3 @ X1)) => Y2)) => Y2)))))) @ X5) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f653])).
% 0.20/0.44 thf(f653,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i,X4 : $i > $i > $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: ((((X4 @ (X4 @ X1 @ (X4 @ Y1 @ (X4 @ (X4 @ (X4 @ (X4 @ Y0 @ (X4 @ (X4 @ X1 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ X1) @ (X4 @ (X4 @ Y1 @ (X4 @ Y0 @ (X4 @ Y0 @ Y0))) @ X1))) @ (X4 @ (X3 @ (X4 @ (X4 @ (X3 @ Y1) @ X1) @ (X4 @ X1 @ X1))) @ (X4 @ Y0 @ (X4 @ Y0 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ X1 @ (X4 @ (X3 @ Y0) @ Y1)) @ (X3 @ (X4 @ Y1 @ X1)))) @ Y0) @ (X3 @ (X4 @ (X4 @ Y1 @ (X4 @ X1 @ (X4 @ (X3 @ (X4 @ X1 @ Y1)) @ X1))) @ (X4 @ (X4 @ (X4 @ Y0 @ (X4 @ (X3 @ X1) @ Y0)) @ Y0) @ (X3 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ (X4 @ (X4 @ Y0 @ (X4 @ (X4 @ Y1 @ X1) @ Y1)) @ Y0)) @ Y1) @ (X4 @ Y1 @ (X4 @ X1 @ X1))) @ Y0))))))))))))) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ Y0 @ (X4 @ X1 @ X1)) @ (X3 @ (X3 @ (X4 @ Y1 @ (X3 @ (X3 @ (X4 @ Y1 @ X1))))))) @ X1) @ Y0) @ (X4 @ Y0 @ Y1)))) @ X1) @ X1) @ (X3 @ Y0)))) @ (X4 @ (X4 @ (X3 @ (X4 @ (X3 @ (X4 @ (X4 @ (X4 @ (X4 @ Y1 @ (X4 @ (X3 @ (X3 @ (X4 @ (X4 @ X1 @ Y0) @ Y1))) @ (X3 @ (X4 @ X1 @ X1)))) @ X1) @ (X3 @ X1)) @ (X4 @ (X4 @ (X4 @ (X4 @ (X4 @ X1 @ Y1) @ (X3 @ (X3 @ (X3 @ Y1)))) @ Y1) @ Y0) @ X1))) @ (X4 @ (X4 @ (X4 @ Y0 @ X1) @ (X3 @ Y0)) @ Y0))) @ Y1) @ Y0)) = Y0) => ((X2 @ (X3 @ X1)) => Y2)) => Y2))))))))) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f652])).
% 0.20/0.44 thf(f652,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i,X4 : $i > $i > $i] : (($true = ((^[Y0 : $i > $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: ((((Y0 @ (Y0 @ X1 @ (Y0 @ Y2 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y1 @ (Y0 @ (Y0 @ X1 @ (Y0 @ X1 @ (Y0 @ (Y0 @ X1 @ (Y0 @ (X3 @ X1) @ (Y0 @ (Y0 @ Y2 @ (Y0 @ Y1 @ (Y0 @ Y1 @ Y1))) @ X1))) @ (Y0 @ (X3 @ (Y0 @ (Y0 @ (X3 @ Y2) @ X1) @ (Y0 @ X1 @ X1))) @ (Y0 @ Y1 @ (Y0 @ Y1 @ (Y0 @ (Y0 @ (Y0 @ X1 @ (Y0 @ (Y0 @ X1 @ (Y0 @ (X3 @ Y1) @ Y2)) @ (X3 @ (Y0 @ Y2 @ X1)))) @ Y1) @ (X3 @ (Y0 @ (Y0 @ Y2 @ (Y0 @ X1 @ (Y0 @ (X3 @ (Y0 @ X1 @ Y2)) @ X1))) @ (Y0 @ (Y0 @ (Y0 @ Y1 @ (Y0 @ (X3 @ X1) @ Y1)) @ Y1) @ (X3 @ (X3 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ X1 @ (Y0 @ (Y0 @ Y1 @ (Y0 @ (Y0 @ Y2 @ X1) @ Y2)) @ Y1)) @ Y2) @ (Y0 @ Y2 @ (Y0 @ X1 @ X1))) @ Y1))))))))))))) @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y1 @ (Y0 @ X1 @ X1)) @ (X3 @ (X3 @ (Y0 @ Y2 @ (X3 @ (X3 @ (Y0 @ Y2 @ X1))))))) @ X1) @ Y1) @ (Y0 @ Y1 @ Y2)))) @ X1) @ X1) @ (X3 @ Y1)))) @ (Y0 @ (Y0 @ (X3 @ (Y0 @ (X3 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y2 @ (Y0 @ (X3 @ (X3 @ (Y0 @ (Y0 @ X1 @ Y1) @ Y2))) @ (X3 @ (Y0 @ X1 @ X1)))) @ X1) @ (X3 @ X1)) @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ X1 @ Y2) @ (X3 @ (X3 @ (X3 @ Y2)))) @ Y2) @ Y1) @ X1))) @ (Y0 @ (Y0 @ (Y0 @ Y1 @ X1) @ (X3 @ Y1)) @ Y1))) @ Y2) @ Y1)) = Y1) => ((X2 @ (X3 @ X1)) => Y3)) => Y3)))))))) @ X4))) )),
% 0.20/0.44 inference(pi_clausification,[],[f651])).
% 0.20/0.44 thf(f651,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i] : (((!! @ ($i > $i > $i) @ (^[Y0 : $i > $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: ((((Y0 @ (Y0 @ X1 @ (Y0 @ Y2 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y1 @ (Y0 @ (Y0 @ X1 @ (Y0 @ X1 @ (Y0 @ (Y0 @ X1 @ (Y0 @ (X3 @ X1) @ (Y0 @ (Y0 @ Y2 @ (Y0 @ Y1 @ (Y0 @ Y1 @ Y1))) @ X1))) @ (Y0 @ (X3 @ (Y0 @ (Y0 @ (X3 @ Y2) @ X1) @ (Y0 @ X1 @ X1))) @ (Y0 @ Y1 @ (Y0 @ Y1 @ (Y0 @ (Y0 @ (Y0 @ X1 @ (Y0 @ (Y0 @ X1 @ (Y0 @ (X3 @ Y1) @ Y2)) @ (X3 @ (Y0 @ Y2 @ X1)))) @ Y1) @ (X3 @ (Y0 @ (Y0 @ Y2 @ (Y0 @ X1 @ (Y0 @ (X3 @ (Y0 @ X1 @ Y2)) @ X1))) @ (Y0 @ (Y0 @ (Y0 @ Y1 @ (Y0 @ (X3 @ X1) @ Y1)) @ Y1) @ (X3 @ (X3 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ X1 @ (Y0 @ (Y0 @ Y1 @ (Y0 @ (Y0 @ Y2 @ X1) @ Y2)) @ Y1)) @ Y2) @ (Y0 @ Y2 @ (Y0 @ X1 @ X1))) @ Y1))))))))))))) @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y1 @ (Y0 @ X1 @ X1)) @ (X3 @ (X3 @ (Y0 @ Y2 @ (X3 @ (X3 @ (Y0 @ Y2 @ X1))))))) @ X1) @ Y1) @ (Y0 @ Y1 @ Y2)))) @ X1) @ X1) @ (X3 @ Y1)))) @ (Y0 @ (Y0 @ (X3 @ (Y0 @ (X3 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ Y2 @ (Y0 @ (X3 @ (X3 @ (Y0 @ (Y0 @ X1 @ Y1) @ Y2))) @ (X3 @ (Y0 @ X1 @ X1)))) @ X1) @ (X3 @ X1)) @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ (Y0 @ X1 @ Y2) @ (X3 @ (X3 @ (X3 @ Y2)))) @ Y2) @ Y1) @ X1))) @ (Y0 @ (Y0 @ (Y0 @ Y1 @ X1) @ (X3 @ Y1)) @ Y1))) @ Y2) @ Y1)) = Y1) => ((X2 @ (X3 @ X1)) => Y3)) => Y3))))))))) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f650])).
% 0.20/0.44 thf(f650,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X3 : $i > $i,X1 : $i] : ((((^[Y0 : $i > $i]: (!! @ ($i > $i > $i) @ (^[Y1 : $i > $i > $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: ((((Y1 @ (Y1 @ X1 @ (Y1 @ Y3 @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ Y2 @ (Y1 @ (Y1 @ X1 @ (Y1 @ X1 @ (Y1 @ (Y1 @ X1 @ (Y1 @ (Y0 @ X1) @ (Y1 @ (Y1 @ Y3 @ (Y1 @ Y2 @ (Y1 @ Y2 @ Y2))) @ X1))) @ (Y1 @ (Y0 @ (Y1 @ (Y1 @ (Y0 @ Y3) @ X1) @ (Y1 @ X1 @ X1))) @ (Y1 @ Y2 @ (Y1 @ Y2 @ (Y1 @ (Y1 @ (Y1 @ X1 @ (Y1 @ (Y1 @ X1 @ (Y1 @ (Y0 @ Y2) @ Y3)) @ (Y0 @ (Y1 @ Y3 @ X1)))) @ Y2) @ (Y0 @ (Y1 @ (Y1 @ Y3 @ (Y1 @ X1 @ (Y1 @ (Y0 @ (Y1 @ X1 @ Y3)) @ X1))) @ (Y1 @ (Y1 @ (Y1 @ Y2 @ (Y1 @ (Y0 @ X1) @ Y2)) @ Y2) @ (Y0 @ (Y0 @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ X1 @ (Y1 @ (Y1 @ Y2 @ (Y1 @ (Y1 @ Y3 @ X1) @ Y3)) @ Y2)) @ Y3) @ (Y1 @ Y3 @ (Y1 @ X1 @ X1))) @ Y2))))))))))))) @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ Y2 @ (Y1 @ X1 @ X1)) @ (Y0 @ (Y0 @ (Y1 @ Y3 @ (Y0 @ (Y0 @ (Y1 @ Y3 @ X1))))))) @ X1) @ Y2) @ (Y1 @ Y2 @ Y3)))) @ X1) @ X1) @ (Y0 @ Y2)))) @ (Y1 @ (Y1 @ (Y0 @ (Y1 @ (Y0 @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ Y3 @ (Y1 @ (Y0 @ (Y0 @ (Y1 @ (Y1 @ X1 @ Y2) @ Y3))) @ (Y0 @ (Y1 @ X1 @ X1)))) @ X1) @ (Y0 @ X1)) @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ X1 @ Y3) @ (Y0 @ (Y0 @ (Y0 @ Y3)))) @ Y3) @ Y2) @ X1))) @ (Y1 @ (Y1 @ (Y1 @ Y2 @ X1) @ (Y0 @ Y2)) @ Y2))) @ Y3) @ Y2)) = Y2) => ((X2 @ (Y0 @ X1)) => Y4)) => Y4)))))))))) @ X3) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f649])).
% 0.20/0.44 thf(f649,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $i > $i) @ (^[Y1 : $i > $i > $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: ((((Y1 @ (Y1 @ X1 @ (Y1 @ Y3 @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ Y2 @ (Y1 @ (Y1 @ X1 @ (Y1 @ X1 @ (Y1 @ (Y1 @ X1 @ (Y1 @ (Y0 @ X1) @ (Y1 @ (Y1 @ Y3 @ (Y1 @ Y2 @ (Y1 @ Y2 @ Y2))) @ X1))) @ (Y1 @ (Y0 @ (Y1 @ (Y1 @ (Y0 @ Y3) @ X1) @ (Y1 @ X1 @ X1))) @ (Y1 @ Y2 @ (Y1 @ Y2 @ (Y1 @ (Y1 @ (Y1 @ X1 @ (Y1 @ (Y1 @ X1 @ (Y1 @ (Y0 @ Y2) @ Y3)) @ (Y0 @ (Y1 @ Y3 @ X1)))) @ Y2) @ (Y0 @ (Y1 @ (Y1 @ Y3 @ (Y1 @ X1 @ (Y1 @ (Y0 @ (Y1 @ X1 @ Y3)) @ X1))) @ (Y1 @ (Y1 @ (Y1 @ Y2 @ (Y1 @ (Y0 @ X1) @ Y2)) @ Y2) @ (Y0 @ (Y0 @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ X1 @ (Y1 @ (Y1 @ Y2 @ (Y1 @ (Y1 @ Y3 @ X1) @ Y3)) @ Y2)) @ Y3) @ (Y1 @ Y3 @ (Y1 @ X1 @ X1))) @ Y2))))))))))))) @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ Y2 @ (Y1 @ X1 @ X1)) @ (Y0 @ (Y0 @ (Y1 @ Y3 @ (Y0 @ (Y0 @ (Y1 @ Y3 @ X1))))))) @ X1) @ Y2) @ (Y1 @ Y2 @ Y3)))) @ X1) @ X1) @ (Y0 @ Y2)))) @ (Y1 @ (Y1 @ (Y0 @ (Y1 @ (Y0 @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ Y3 @ (Y1 @ (Y0 @ (Y0 @ (Y1 @ (Y1 @ X1 @ Y2) @ Y3))) @ (Y0 @ (Y1 @ X1 @ X1)))) @ X1) @ (Y0 @ X1)) @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ (Y1 @ X1 @ Y3) @ (Y0 @ (Y0 @ (Y0 @ Y3)))) @ Y3) @ Y2) @ X1))) @ (Y1 @ (Y1 @ (Y1 @ Y2 @ X1) @ (Y0 @ Y2)) @ Y2))) @ Y3) @ Y2)) = Y2) => ((X2 @ (Y0 @ X1)) => Y4)) => Y4))))))))))) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f648])).
% 0.20/0.44 thf(f648,plain,(
% 0.20/0.44 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: ((((Y2 @ (Y2 @ X1 @ (Y2 @ Y4 @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ Y3 @ (Y2 @ (Y2 @ X1 @ (Y2 @ X1 @ (Y2 @ (Y2 @ X1 @ (Y2 @ (Y1 @ X1) @ (Y2 @ (Y2 @ Y4 @ (Y2 @ Y3 @ (Y2 @ Y3 @ Y3))) @ X1))) @ (Y2 @ (Y1 @ (Y2 @ (Y2 @ (Y1 @ Y4) @ X1) @ (Y2 @ X1 @ X1))) @ (Y2 @ Y3 @ (Y2 @ Y3 @ (Y2 @ (Y2 @ (Y2 @ X1 @ (Y2 @ (Y2 @ X1 @ (Y2 @ (Y1 @ Y3) @ Y4)) @ (Y1 @ (Y2 @ Y4 @ X1)))) @ Y3) @ (Y1 @ (Y2 @ (Y2 @ Y4 @ (Y2 @ X1 @ (Y2 @ (Y1 @ (Y2 @ X1 @ Y4)) @ X1))) @ (Y2 @ (Y2 @ (Y2 @ Y3 @ (Y2 @ (Y1 @ X1) @ Y3)) @ Y3) @ (Y1 @ (Y1 @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ X1 @ (Y2 @ (Y2 @ Y3 @ (Y2 @ (Y2 @ Y4 @ X1) @ Y4)) @ Y3)) @ Y4) @ (Y2 @ Y4 @ (Y2 @ X1 @ X1))) @ Y3))))))))))))) @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ Y3 @ (Y2 @ X1 @ X1)) @ (Y1 @ (Y1 @ (Y2 @ Y4 @ (Y1 @ (Y1 @ (Y2 @ Y4 @ X1))))))) @ X1) @ Y3) @ (Y2 @ Y3 @ Y4)))) @ X1) @ X1) @ (Y1 @ Y3)))) @ (Y2 @ (Y2 @ (Y1 @ (Y2 @ (Y1 @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ Y4 @ (Y2 @ (Y1 @ (Y1 @ (Y2 @ (Y2 @ X1 @ Y3) @ Y4))) @ (Y1 @ (Y2 @ X1 @ X1)))) @ X1) @ (Y1 @ X1)) @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ X1 @ Y4) @ (Y1 @ (Y1 @ (Y1 @ Y4)))) @ Y4) @ Y3) @ X1))) @ (Y2 @ (Y2 @ (Y2 @ Y3 @ X1) @ (Y1 @ Y3)) @ Y3))) @ Y4) @ Y3)) = Y3) => ((Y0 @ (Y1 @ X1)) => Y5)) => Y5)))))))))))) @ X2) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f647])).
% 0.20/0.44 thf(f647,plain,(
% 0.20/0.44 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: ((((Y2 @ (Y2 @ X1 @ (Y2 @ Y4 @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ Y3 @ (Y2 @ (Y2 @ X1 @ (Y2 @ X1 @ (Y2 @ (Y2 @ X1 @ (Y2 @ (Y1 @ X1) @ (Y2 @ (Y2 @ Y4 @ (Y2 @ Y3 @ (Y2 @ Y3 @ Y3))) @ X1))) @ (Y2 @ (Y1 @ (Y2 @ (Y2 @ (Y1 @ Y4) @ X1) @ (Y2 @ X1 @ X1))) @ (Y2 @ Y3 @ (Y2 @ Y3 @ (Y2 @ (Y2 @ (Y2 @ X1 @ (Y2 @ (Y2 @ X1 @ (Y2 @ (Y1 @ Y3) @ Y4)) @ (Y1 @ (Y2 @ Y4 @ X1)))) @ Y3) @ (Y1 @ (Y2 @ (Y2 @ Y4 @ (Y2 @ X1 @ (Y2 @ (Y1 @ (Y2 @ X1 @ Y4)) @ X1))) @ (Y2 @ (Y2 @ (Y2 @ Y3 @ (Y2 @ (Y1 @ X1) @ Y3)) @ Y3) @ (Y1 @ (Y1 @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ X1 @ (Y2 @ (Y2 @ Y3 @ (Y2 @ (Y2 @ Y4 @ X1) @ Y4)) @ Y3)) @ Y4) @ (Y2 @ Y4 @ (Y2 @ X1 @ X1))) @ Y3))))))))))))) @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ Y3 @ (Y2 @ X1 @ X1)) @ (Y1 @ (Y1 @ (Y2 @ Y4 @ (Y1 @ (Y1 @ (Y2 @ Y4 @ X1))))))) @ X1) @ Y3) @ (Y2 @ Y3 @ Y4)))) @ X1) @ X1) @ (Y1 @ Y3)))) @ (Y2 @ (Y2 @ (Y1 @ (Y2 @ (Y1 @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ Y4 @ (Y2 @ (Y1 @ (Y1 @ (Y2 @ (Y2 @ X1 @ Y3) @ Y4))) @ (Y1 @ (Y2 @ X1 @ X1)))) @ X1) @ (Y1 @ X1)) @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ (Y2 @ X1 @ Y4) @ (Y1 @ (Y1 @ (Y1 @ Y4)))) @ Y4) @ Y3) @ X1))) @ (Y2 @ (Y2 @ (Y2 @ Y3 @ X1) @ (Y1 @ Y3)) @ Y3))) @ Y4) @ Y3)) = Y3) => ((Y0 @ (Y1 @ X1)) => Y5)) => Y5))))))))))))))) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f646])).
% 0.20/0.44 thf(f646,plain,(
% 0.20/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $i > $i) @ (^[Y3 : $i > $i > $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: ((((Y3 @ (Y3 @ Y0 @ (Y3 @ Y5 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y0) @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y4 @ (Y3 @ Y4 @ Y4))) @ Y0))) @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y2 @ Y5) @ Y0) @ (Y3 @ Y0 @ Y0))) @ (Y3 @ Y4 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y4) @ Y5)) @ (Y2 @ (Y3 @ Y5 @ Y0)))) @ Y4) @ (Y2 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ (Y3 @ Y0 @ Y5)) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y2 @ Y0) @ Y4)) @ Y4) @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y5 @ Y0) @ Y5)) @ Y4)) @ Y5) @ (Y3 @ Y5 @ (Y3 @ Y0 @ Y0))) @ Y4))))))))))))) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ Y0 @ Y0)) @ (Y2 @ (Y2 @ (Y3 @ Y5 @ (Y2 @ (Y2 @ (Y3 @ Y5 @ Y0))))))) @ Y0) @ Y4) @ (Y3 @ Y4 @ Y5)))) @ Y0) @ Y0) @ (Y2 @ Y4)))) @ (Y3 @ (Y3 @ (Y2 @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ Y0 @ Y4) @ Y5))) @ (Y2 @ (Y3 @ Y0 @ Y0)))) @ Y0) @ (Y2 @ Y0)) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ Y5) @ (Y2 @ (Y2 @ (Y2 @ Y5)))) @ Y5) @ Y4) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ Y0) @ (Y2 @ Y4)) @ Y4))) @ Y5) @ Y4)) = Y4) => ((Y1 @ (Y2 @ Y0)) => Y6)) => Y6)))))))))))))) @ X1))) )),
% 0.20/0.44 inference(pi_clausification,[],[f645])).
% 0.20/0.44 thf(f645,plain,(
% 0.20/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $i > $i) @ (^[Y3 : $i > $i > $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: ((((Y3 @ (Y3 @ Y0 @ (Y3 @ Y5 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y0) @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y4 @ (Y3 @ Y4 @ Y4))) @ Y0))) @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y2 @ Y5) @ Y0) @ (Y3 @ Y0 @ Y0))) @ (Y3 @ Y4 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ Y4) @ Y5)) @ (Y2 @ (Y3 @ Y5 @ Y0)))) @ Y4) @ (Y2 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ Y0 @ (Y3 @ (Y2 @ (Y3 @ Y0 @ Y5)) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y2 @ Y0) @ Y4)) @ Y4) @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ (Y3 @ Y5 @ Y0) @ Y5)) @ Y4)) @ Y5) @ (Y3 @ Y5 @ (Y3 @ Y0 @ Y0))) @ Y4))))))))))))) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y4 @ (Y3 @ Y0 @ Y0)) @ (Y2 @ (Y2 @ (Y3 @ Y5 @ (Y2 @ (Y2 @ (Y3 @ Y5 @ Y0))))))) @ Y0) @ Y4) @ (Y3 @ Y4 @ Y5)))) @ Y0) @ Y0) @ (Y2 @ Y4)))) @ (Y3 @ (Y3 @ (Y2 @ (Y3 @ (Y2 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y5 @ (Y3 @ (Y2 @ (Y2 @ (Y3 @ (Y3 @ Y0 @ Y4) @ Y5))) @ (Y2 @ (Y3 @ Y0 @ Y0)))) @ Y0) @ (Y2 @ Y0)) @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ (Y3 @ Y0 @ Y5) @ (Y2 @ (Y2 @ (Y2 @ Y5)))) @ Y5) @ Y4) @ Y0))) @ (Y3 @ (Y3 @ (Y3 @ Y4 @ Y0) @ (Y2 @ Y4)) @ Y4))) @ Y5) @ Y4)) = Y4) => ((Y1 @ (Y2 @ Y0)) => Y6)) => Y6))))))))))))))))),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f643])).
% 0.20/0.44 % SZS output end Proof for theBenchmark
% 0.20/0.44 % (20170)------------------------------
% 0.20/0.44 % (20170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (20170)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (20170)Memory used [KB]: 6908
% 0.20/0.44 % (20170)Time elapsed: 0.063 s
% 0.20/0.44 % (20170)Instructions burned: 105 (million)
% 0.20/0.44 % (20170)------------------------------
% 0.20/0.44 % (20170)------------------------------
% 0.20/0.44 % (20169)Success in time 0.076 s
% 0.20/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------