TSTP Solution File: LCL602^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL602^1 : TPTP v8.2.0. Released v3.6.0.
% 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 : n003.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 00:16:09 EDT 2024
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL602^1 : TPTP v8.2.0. Released v3.6.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 03:32:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % (23181)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)
% 0.14/0.37 % (23179)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)
% 0.14/0.37 % (23180)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (23174)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (23175)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)
% 0.14/0.37 % (23178)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)
% 0.14/0.37 % (23181)Instruction limit reached!
% 0.14/0.37 % (23181)------------------------------
% 0.14/0.37 % (23181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (23181)Termination reason: Unknown
% 0.14/0.37 % (23181)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (23178)Instruction limit reached!
% 0.14/0.37 % (23178)------------------------------
% 0.14/0.37 % (23178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (23181)Memory used [KB]: 1023
% 0.14/0.37 % (23181)Time elapsed: 0.004 s
% 0.14/0.37 % (23181)Instructions burned: 5 (million)
% 0.14/0.37 % (23181)------------------------------
% 0.14/0.37 % (23181)------------------------------
% 0.14/0.37 % (23178)Termination reason: Unknown
% 0.14/0.37 % (23178)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (23178)Memory used [KB]: 1023
% 0.14/0.37 % (23178)Time elapsed: 0.003 s
% 0.14/0.37 % (23178)Instructions burned: 2 (million)
% 0.14/0.37 % (23178)------------------------------
% 0.14/0.37 % (23178)------------------------------
% 0.14/0.37 % (23175)Instruction limit reached!
% 0.14/0.37 % (23175)------------------------------
% 0.14/0.37 % (23175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (23175)Termination reason: Unknown
% 0.14/0.37 % (23175)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (23175)Memory used [KB]: 1023
% 0.14/0.37 % (23175)Time elapsed: 0.004 s
% 0.14/0.37 % (23175)Instructions burned: 4 (million)
% 0.14/0.37 % (23175)------------------------------
% 0.14/0.37 % (23175)------------------------------
% 0.14/0.38 % (23176)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)
% 0.14/0.38 % (23180)Instruction limit reached!
% 0.14/0.38 % (23180)------------------------------
% 0.14/0.38 % (23180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (23180)Termination reason: Unknown
% 0.14/0.38 % (23180)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (23180)Memory used [KB]: 5628
% 0.14/0.38 % (23180)Time elapsed: 0.010 s
% 0.14/0.38 % (23180)Instructions burned: 18 (million)
% 0.14/0.38 % (23180)------------------------------
% 0.14/0.38 % (23180)------------------------------
% 0.14/0.38 % (23179)Refutation not found, incomplete strategy
% 0.14/0.38 % (23179)------------------------------
% 0.14/0.38 % (23179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (23179)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (23179)Memory used [KB]: 5628
% 0.14/0.38 % (23179)Time elapsed: 0.010 s
% 0.14/0.38 % (23179)Instructions burned: 16 (million)
% 0.14/0.38 % (23179)------------------------------
% 0.14/0.38 % (23179)------------------------------
% 0.14/0.38 % (23177)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (23177)Instruction limit reached!
% 0.14/0.38 % (23177)------------------------------
% 0.14/0.38 % (23177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (23177)Termination reason: Unknown
% 0.14/0.38 % (23177)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (23177)Memory used [KB]: 1023
% 0.14/0.38 % (23177)Time elapsed: 0.003 s
% 0.14/0.38 % (23177)Instructions burned: 2 (million)
% 0.14/0.38 % (23177)------------------------------
% 0.14/0.38 % (23177)------------------------------
% 0.14/0.39 % (23182)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)
% 0.14/0.39 % (23184)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)
% 0.14/0.39 % (23184)Instruction limit reached!
% 0.14/0.39 % (23184)------------------------------
% 0.14/0.39 % (23184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (23184)Termination reason: Unknown
% 0.14/0.39 % (23184)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (23184)Memory used [KB]: 1023
% 0.14/0.39 % (23184)Time elapsed: 0.003 s
% 0.14/0.39 % (23184)Instructions burned: 3 (million)
% 0.14/0.39 % (23184)------------------------------
% 0.14/0.39 % (23184)------------------------------
% 0.14/0.39 % (23176)Instruction limit reached!
% 0.14/0.39 % (23176)------------------------------
% 0.14/0.39 % (23176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (23176)Termination reason: Unknown
% 0.14/0.39 % (23176)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (23176)Memory used [KB]: 5756
% 0.14/0.39 % (23176)Time elapsed: 0.014 s
% 0.14/0.39 % (23176)Instructions burned: 27 (million)
% 0.14/0.39 % (23176)------------------------------
% 0.14/0.39 % (23176)------------------------------
% 0.14/0.39 % (23183)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)
% 0.14/0.39 % (23187)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.39 % (23185)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)
% 0.14/0.40 % (23183)Instruction limit reached!
% 0.14/0.40 % (23183)------------------------------
% 0.14/0.40 % (23183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (23183)Termination reason: Unknown
% 0.14/0.40 % (23183)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (23183)Memory used [KB]: 5628
% 0.14/0.40 % (23183)Time elapsed: 0.010 s
% 0.14/0.40 % (23186)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.40 % (23183)Instructions burned: 16 (million)
% 0.14/0.40 % (23183)------------------------------
% 0.14/0.40 % (23183)------------------------------
% 0.14/0.40 % (23186)Instruction limit reached!
% 0.14/0.40 % (23186)------------------------------
% 0.14/0.40 % (23186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (23186)Termination reason: Unknown
% 0.14/0.40 % (23186)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (23186)Memory used [KB]: 1151
% 0.14/0.40 % (23186)Time elapsed: 0.005 s
% 0.14/0.40 % (23186)Instructions burned: 8 (million)
% 0.14/0.40 % (23186)------------------------------
% 0.14/0.40 % (23186)------------------------------
% 0.14/0.40 % (23187)Instruction limit reached!
% 0.14/0.40 % (23187)------------------------------
% 0.14/0.40 % (23187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (23187)Termination reason: Unknown
% 0.14/0.40 % (23187)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (23187)Memory used [KB]: 5884
% 0.14/0.40 % (23187)Time elapsed: 0.010 s
% 0.14/0.40 % (23187)Instructions burned: 17 (million)
% 0.14/0.40 % (23187)------------------------------
% 0.14/0.40 % (23187)------------------------------
% 0.14/0.40 % (23188)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)
% 0.14/0.40 % (23188)Instruction limit reached!
% 0.14/0.40 % (23188)------------------------------
% 0.14/0.40 % (23188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (23188)Termination reason: Unknown
% 0.14/0.40 % (23188)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (23188)Memory used [KB]: 1023
% 0.14/0.40 % (23188)Time elapsed: 0.003 s
% 0.14/0.40 % (23188)Instructions burned: 3 (million)
% 0.14/0.40 % (23188)------------------------------
% 0.14/0.40 % (23188)------------------------------
% 0.14/0.41 % (23182)Instruction limit reached!
% 0.14/0.41 % (23182)------------------------------
% 0.14/0.41 % (23182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (23182)Termination reason: Unknown
% 0.14/0.41 % (23182)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (23182)Memory used [KB]: 5756
% 0.14/0.41 % (23182)Time elapsed: 0.022 s
% 0.14/0.41 % (23182)Instructions burned: 37 (million)
% 0.14/0.41 % (23182)------------------------------
% 0.14/0.41 % (23182)------------------------------
% 0.14/0.41 % (23189)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)
% 0.14/0.41 % (23189)Instruction limit reached!
% 0.14/0.41 % (23189)------------------------------
% 0.14/0.41 % (23189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (23189)Termination reason: Unknown
% 0.14/0.41 % (23189)Termination phase: shuffling
% 0.14/0.41
% 0.14/0.41 % (23189)Memory used [KB]: 1023
% 0.14/0.41 % (23189)Time elapsed: 0.003 s
% 0.14/0.41 % (23189)Instructions burned: 3 (million)
% 0.14/0.41 % (23189)------------------------------
% 0.14/0.41 % (23189)------------------------------
% 0.20/0.41 % (23190)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 % (23192)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.42 % (23193)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)
% 0.20/0.42 % (23190)Instruction limit reached!
% 0.20/0.42 % (23190)------------------------------
% 0.20/0.42 % (23190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (23190)Termination reason: Unknown
% 0.20/0.42 % (23190)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (23190)Memory used [KB]: 1151
% 0.20/0.42 % (23190)Time elapsed: 0.006 s
% 0.20/0.42 % (23190)Instructions burned: 8 (million)
% 0.20/0.42 % (23190)------------------------------
% 0.20/0.42 % (23190)------------------------------
% 0.20/0.42 % (23192)Instruction limit reached!
% 0.20/0.42 % (23192)------------------------------
% 0.20/0.42 % (23192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (23192)Termination reason: Unknown
% 0.20/0.42 % (23192)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (23192)Memory used [KB]: 1023
% 0.20/0.42 % (23192)Time elapsed: 0.004 s
% 0.20/0.42 % (23192)Instructions burned: 6 (million)
% 0.20/0.42 % (23192)------------------------------
% 0.20/0.42 % (23192)------------------------------
% 0.20/0.42 % (23191)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)
% 0.20/0.42 % (23194)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.42 % (23191)Instruction limit reached!
% 0.20/0.42 % (23191)------------------------------
% 0.20/0.42 % (23191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (23191)Termination reason: Unknown
% 0.20/0.42 % (23191)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (23191)Memory used [KB]: 1023
% 0.20/0.42 % (23191)Time elapsed: 0.003 s
% 0.20/0.42 % (23191)Instructions burned: 3 (million)
% 0.20/0.42 % (23191)------------------------------
% 0.20/0.42 % (23191)------------------------------
% 0.20/0.43 % (23193)Instruction limit reached!
% 0.20/0.43 % (23193)------------------------------
% 0.20/0.43 % (23193)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (23193)Termination reason: Unknown
% 0.20/0.43 % (23193)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (23193)Memory used [KB]: 5756
% 0.20/0.43 % (23193)Time elapsed: 0.033 s
% 0.20/0.43 % (23193)Instructions burned: 18 (million)
% 0.20/0.43 % (23193)------------------------------
% 0.20/0.43 % (23193)------------------------------
% 0.20/0.43 % (23195)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.43 % (23196)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)
% 0.20/0.43 % (23195)Instruction limit reached!
% 0.20/0.43 % (23195)------------------------------
% 0.20/0.43 % (23195)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (23195)Termination reason: Unknown
% 0.20/0.43 % (23195)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (23195)Memory used [KB]: 1023
% 0.20/0.43 % (23195)Time elapsed: 0.004 s
% 0.20/0.43 % (23195)Instructions burned: 6 (million)
% 0.20/0.43 % (23195)------------------------------
% 0.20/0.43 % (23195)------------------------------
% 0.20/0.43 % (23198)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.43 % (23197)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.44 % (23198)Instruction limit reached!
% 0.20/0.44 % (23198)------------------------------
% 0.20/0.44 % (23198)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (23198)Termination reason: Unknown
% 0.20/0.44 % (23198)Termination phase: Property scanning
% 0.20/0.44
% 0.20/0.44 % (23198)Memory used [KB]: 1023
% 0.20/0.44 % (23198)Time elapsed: 0.004 s
% 0.20/0.44 % (23198)Instructions burned: 5 (million)
% 0.20/0.44 % (23198)------------------------------
% 0.20/0.44 % (23198)------------------------------
% 0.20/0.44 % (23196)Refutation not found, incomplete strategy
% 0.20/0.44 % (23196)------------------------------
% 0.20/0.44 % (23196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (23196)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % (23196)Memory used [KB]: 5628
% 0.20/0.44 % (23196)Time elapsed: 0.008 s
% 0.20/0.44 % (23196)Instructions burned: 11 (million)
% 0.20/0.44 % (23196)------------------------------
% 0.20/0.44 % (23196)------------------------------
% 0.20/0.44 % (23199)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44 % (23199)Instruction limit reached!
% 0.20/0.44 % (23199)------------------------------
% 0.20/0.44 % (23199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (23199)Termination reason: Unknown
% 0.20/0.44 % (23199)Termination phase: Property scanning
% 0.20/0.44
% 0.20/0.44 % (23199)Memory used [KB]: 1023
% 0.20/0.44 % (23199)Time elapsed: 0.004 s
% 0.20/0.44 % (23199)Instructions burned: 6 (million)
% 0.20/0.44 % (23199)------------------------------
% 0.20/0.44 % (23199)------------------------------
% 0.20/0.44 % (23197)Instruction limit reached!
% 0.20/0.44 % (23197)------------------------------
% 0.20/0.44 % (23197)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (23197)Termination reason: Unknown
% 0.20/0.44 % (23197)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (23197)Memory used [KB]: 5756
% 0.20/0.44 % (23197)Time elapsed: 0.012 s
% 0.20/0.44 % (23197)Instructions burned: 21 (million)
% 0.20/0.44 % (23197)------------------------------
% 0.20/0.44 % (23197)------------------------------
% 0.20/0.45 % (23200)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.45 % (23201)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.20/0.45 % (23202)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.20/0.46 % (23203)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.20/0.46 % (23204)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.46 % (23174)Instruction limit reached!
% 0.20/0.46 % (23174)------------------------------
% 0.20/0.46 % (23174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (23174)Termination reason: Unknown
% 0.20/0.46 % (23174)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (23174)Memory used [KB]: 7291
% 0.20/0.46 % (23174)Time elapsed: 0.093 s
% 0.20/0.46 % (23174)Instructions burned: 183 (million)
% 0.20/0.46 % (23174)------------------------------
% 0.20/0.46 % (23174)------------------------------
% 0.20/0.46 % (23202)Instruction limit reached!
% 0.20/0.46 % (23202)------------------------------
% 0.20/0.46 % (23202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (23202)Termination reason: Unknown
% 0.20/0.46 % (23202)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (23202)Memory used [KB]: 5628
% 0.20/0.46 % (23202)Time elapsed: 0.012 s
% 0.20/0.46 % (23202)Instructions burned: 19 (million)
% 0.20/0.46 % (23202)------------------------------
% 0.20/0.46 % (23202)------------------------------
% 0.20/0.47 % (23204)Instruction limit reached!
% 0.20/0.47 % (23204)------------------------------
% 0.20/0.47 % (23204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (23204)Termination reason: Unknown
% 0.20/0.47 % (23204)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (23204)Memory used [KB]: 5628
% 0.20/0.47 % (23204)Time elapsed: 0.009 s
% 0.20/0.47 % (23204)Instructions burned: 17 (million)
% 0.20/0.47 % (23204)------------------------------
% 0.20/0.47 % (23204)------------------------------
% 0.20/0.48 % (23205)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.48 % (23205)Instruction limit reached!
% 0.20/0.48 % (23205)------------------------------
% 0.20/0.48 % (23205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (23205)Termination reason: Unknown
% 0.20/0.48 % (23205)Termination phase: shuffling
% 0.20/0.48
% 0.20/0.48 % (23205)Memory used [KB]: 1023
% 0.20/0.48 % (23205)Time elapsed: 0.003 s
% 0.20/0.48 % (23205)Instructions burned: 4 (million)
% 0.20/0.48 % (23205)------------------------------
% 0.20/0.48 % (23205)------------------------------
% 0.20/0.48 % (23206)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.48 % (23207)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.20/0.49 % (23206)Refutation not found, incomplete strategy
% 0.20/0.49 % (23206)------------------------------
% 0.20/0.49 % (23206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (23206)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 % (23206)Memory used [KB]: 5628
% 0.20/0.49 % (23206)Time elapsed: 0.010 s
% 0.20/0.49 % (23206)Instructions burned: 18 (million)
% 0.20/0.49 % (23206)------------------------------
% 0.20/0.49 % (23206)------------------------------
% 0.20/0.50 % (23200)First to succeed.
% 0.20/0.50 % (23208)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.20/0.50 % (23209)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.50 % (23209)Instruction limit reached!
% 0.20/0.50 % (23209)------------------------------
% 0.20/0.50 % (23209)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (23209)Termination reason: Unknown
% 0.20/0.50 % (23209)Termination phase: shuffling
% 0.20/0.50
% 0.20/0.50 % (23209)Memory used [KB]: 1023
% 0.20/0.50 % (23209)Time elapsed: 0.002 s
% 0.20/0.50 % (23209)Instructions burned: 4 (million)
% 0.20/0.50 % (23209)------------------------------
% 0.20/0.50 % (23209)------------------------------
% 0.20/0.51 % (23210)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.20/0.51 % (23200)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% 0.20/0.51 thf(type_def_6, type, individuals: $tType).
% 0.20/0.51 thf(func_def_1, type, prop_a: $i > $o).
% 0.20/0.51 thf(func_def_2, type, prop_b: $i > $o).
% 0.20/0.51 thf(func_def_3, type, prop_c: $i > $o).
% 0.20/0.51 thf(func_def_4, type, mfalse: $i > $o).
% 0.20/0.51 thf(func_def_5, type, mtrue: $i > $o).
% 0.20/0.51 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_14, type, individuals: $tType).
% 0.20/0.51 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.20/0.51 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.20/0.51 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.20/0.51 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.20/0.51 thf(func_def_21, type, cartesian_product: ($i > $o) > ($i > $o) > $i > $i > $o).
% 0.20/0.51 thf(func_def_22, type, pair_rel: $i > $i > $i > $i > $o).
% 0.20/0.51 thf(func_def_23, type, id_rel: ($i > $o) > $i > $i > $o).
% 0.20/0.51 thf(func_def_24, type, sub_rel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.20/0.51 thf(func_def_25, type, is_rel_on: ($i > $i > $o) > ($i > $o) > ($i > $o) > $o).
% 0.20/0.51 thf(func_def_26, type, restrict_rel_domain: ($i > $i > $o) > ($i > $o) > $i > $i > $o).
% 0.20/0.51 thf(func_def_27, type, rel_diagonal: $i > $i > $o).
% 0.20/0.51 thf(func_def_28, type, rel_composition: ($i > $i > $o) > ($i > $i > $o) > $i > $i > $o).
% 0.20/0.51 thf(func_def_29, type, reflexive: ($i > $i > $o) > $o).
% 0.20/0.51 thf(func_def_30, type, irreflexive: ($i > $i > $o) > $o).
% 0.20/0.51 thf(func_def_31, type, symmetric: ($i > $i > $o) > $o).
% 0.20/0.51 thf(func_def_32, type, transitive: ($i > $i > $o) > $o).
% 0.20/0.51 thf(func_def_33, type, equiv_rel: ($i > $i > $o) > $o).
% 0.20/0.51 thf(func_def_34, type, rel_codomain: ($i > $i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_35, type, rel_domain: ($i > $i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_36, type, rel_inverse: ($i > $i > $o) > $i > $i > $o).
% 0.20/0.51 thf(func_def_37, type, equiv_classes: ($i > $i > $o) > ($i > $o) > $o).
% 0.20/0.51 thf(func_def_38, type, restrict_rel_codomain: ($i > $i > $o) > ($i > $o) > $i > $i > $o).
% 0.20/0.51 thf(func_def_39, type, rel_field: ($i > $i > $o) > $i > $o).
% 0.20/0.51 thf(func_def_40, type, well_founded: ($i > $i > $o) > $o).
% 0.20/0.51 thf(func_def_41, type, upwards_well_founded: ($i > $i > $o) > $o).
% 0.20/0.51 thf(func_def_58, type, sK0: $i > $i > $o).
% 0.20/0.51 thf(func_def_59, type, sK1: $i > $o).
% 0.20/0.51 thf(func_def_61, type, sK3: $i > ($i > $o) > $i).
% 0.20/0.51 thf(func_def_62, type, sK4: $i > ($i > $o) > $i).
% 0.20/0.51 thf(func_def_63, type, sK5: $i > ($i > $o) > $i).
% 0.20/0.51 thf(func_def_64, type, sK6: $i > ($i > $o) > $i).
% 0.20/0.51 thf(func_def_82, type, ph24: !>[X0: $tType]:(X0)).
% 0.20/0.51 thf(f1436,plain,(
% 0.20/0.51 $false),
% 0.20/0.51 inference(avatar_sat_refutation,[],[f369,f374,f383,f388,f393,f394,f399,f400,f401,f409,f414,f419,f431,f436,f441,f442,f451,f456,f461,f462,f467,f468,f469,f470,f496,f500,f504,f508,f517,f570,f638,f663,f829,f1007,f1010,f1077,f1163,f1363,f1435])).
% 0.20/0.51 thf(f1435,plain,(
% 0.20/0.51 ~spl2_12 | ~spl2_15 | ~spl2_18 | ~spl2_19 | ~spl2_25),
% 0.20/0.51 inference(avatar_contradiction_clause,[],[f1434])).
% 0.20/0.51 thf(f1434,plain,(
% 0.20/0.51 $false | (~spl2_12 | ~spl2_15 | ~spl2_18 | ~spl2_19 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1433])).
% 0.20/0.51 thf(f1433,plain,(
% 0.20/0.51 ($true = $false) | (~spl2_12 | ~spl2_15 | ~spl2_18 | ~spl2_19 | ~spl2_25)),
% 0.20/0.51 inference(forward_demodulation,[],[f1420,f423])).
% 0.20/0.51 thf(f423,plain,(
% 0.20/0.51 ((sK1 @ sK16) = $false) | ~spl2_15),
% 0.20/0.51 inference(avatar_component_clause,[],[f421])).
% 0.20/0.51 thf(f421,plain,(
% 0.20/0.51 spl2_15 <=> ((sK1 @ sK16) = $false)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_15])])).
% 0.20/0.51 thf(f1420,plain,(
% 0.20/0.51 ((sK1 @ sK16) = $true) | (~spl2_12 | ~spl2_18 | ~spl2_19 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1409])).
% 0.20/0.51 thf(f1409,plain,(
% 0.20/0.51 ((sK1 @ sK16) = $true) | ($true = $false) | (~spl2_12 | ~spl2_18 | ~spl2_19 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f1376,f435])).
% 0.20/0.51 thf(f435,plain,(
% 0.20/0.51 ((sK0 @ sK15 @ sK16) = $true) | ~spl2_18),
% 0.20/0.51 inference(avatar_component_clause,[],[f433])).
% 0.20/0.51 thf(f433,plain,(
% 0.20/0.51 spl2_18 <=> ((sK0 @ sK15 @ sK16) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_18])])).
% 0.20/0.51 thf(f1376,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ sK15 @ X0) = $false) | ($true = (sK1 @ X0))) ) | (~spl2_12 | ~spl2_19 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1367])).
% 0.20/0.51 thf(f1367,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ sK15 @ X0) = $false) | ($true = (sK1 @ X0)) | ($true = $false)) ) | (~spl2_12 | ~spl2_19 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f440,f1244])).
% 0.20/0.51 thf(f1244,plain,(
% 0.20/0.51 ( ! [X0 : $i,X1 : $i] : (((sK0 @ sK7 @ X1) = $false) | ((sK0 @ X1 @ X0) = $false) | ($true = (sK1 @ X0))) ) | (~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1236])).
% 0.20/0.51 thf(f1236,plain,(
% 0.20/0.51 ( ! [X0 : $i,X1 : $i] : (((sK0 @ X1 @ X0) = $false) | ($true = (sK1 @ X0)) | ((sK0 @ sK7 @ X1) = $false) | ($true = $false)) ) | (~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f473,f408])).
% 0.20/0.51 thf(f408,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK7 @ X1) = $false) | ((sK1 @ X1) = $true)) ) | ~spl2_12),
% 0.20/0.51 inference(avatar_component_clause,[],[f407])).
% 0.20/0.51 thf(f407,plain,(
% 0.20/0.51 spl2_12 <=> ! [X1] : (((sK0 @ sK7 @ X1) = $false) | ((sK1 @ X1) = $true))),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_12])])).
% 0.20/0.51 thf(f473,plain,(
% 0.20/0.51 ( ! [X6 : $i,X4 : $i,X5 : $i] : (($true = (sK0 @ X6 @ X4)) | ($false = (sK0 @ X5 @ X4)) | ((sK0 @ X6 @ X5) = $false)) ) | ~spl2_25),
% 0.20/0.51 inference(avatar_component_clause,[],[f472])).
% 0.20/0.51 thf(f472,plain,(
% 0.20/0.51 spl2_25 <=> ! [X6,X4,X5] : (($false = (sK0 @ X5 @ X4)) | ($true = (sK0 @ X6 @ X4)) | ((sK0 @ X6 @ X5) = $false))),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_25])])).
% 0.20/0.51 thf(f440,plain,(
% 0.20/0.51 ((sK0 @ sK7 @ sK15) = $true) | ~spl2_19),
% 0.20/0.51 inference(avatar_component_clause,[],[f438])).
% 0.20/0.51 thf(f438,plain,(
% 0.20/0.51 spl2_19 <=> ((sK0 @ sK7 @ sK15) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_19])])).
% 0.20/0.51 thf(f1363,plain,(
% 0.20/0.51 ~spl2_12 | ~spl2_21 | ~spl2_23 | ~spl2_24 | ~spl2_25),
% 0.20/0.51 inference(avatar_contradiction_clause,[],[f1362])).
% 0.20/0.51 thf(f1362,plain,(
% 0.20/0.51 $false | (~spl2_12 | ~spl2_21 | ~spl2_23 | ~spl2_24 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1361])).
% 0.20/0.51 thf(f1361,plain,(
% 0.20/0.51 ($true = $false) | (~spl2_12 | ~spl2_21 | ~spl2_23 | ~spl2_24 | ~spl2_25)),
% 0.20/0.51 inference(forward_demodulation,[],[f1352,f450])).
% 0.20/0.51 thf(f450,plain,(
% 0.20/0.51 ((sK1 @ sK14) = $false) | ~spl2_21),
% 0.20/0.51 inference(avatar_component_clause,[],[f448])).
% 0.20/0.51 thf(f448,plain,(
% 0.20/0.51 spl2_21 <=> ((sK1 @ sK14) = $false)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_21])])).
% 0.20/0.51 thf(f1352,plain,(
% 0.20/0.51 ((sK1 @ sK14) = $true) | (~spl2_12 | ~spl2_23 | ~spl2_24 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1337])).
% 0.20/0.51 thf(f1337,plain,(
% 0.20/0.51 ((sK1 @ sK14) = $true) | ($true = $false) | (~spl2_12 | ~spl2_23 | ~spl2_24 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f1317,f460])).
% 0.20/0.51 thf(f460,plain,(
% 0.20/0.51 ((sK0 @ sK13 @ sK14) = $true) | ~spl2_23),
% 0.20/0.51 inference(avatar_component_clause,[],[f458])).
% 0.20/0.51 thf(f458,plain,(
% 0.20/0.51 spl2_23 <=> ((sK0 @ sK13 @ sK14) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_23])])).
% 0.20/0.51 thf(f1317,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ sK13 @ X0) = $false) | ($true = (sK1 @ X0))) ) | (~spl2_12 | ~spl2_24 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1298])).
% 0.20/0.51 thf(f1298,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (($true = (sK1 @ X0)) | ($true = $false) | ((sK0 @ sK13 @ X0) = $false)) ) | (~spl2_12 | ~spl2_24 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f466,f1244])).
% 0.20/0.51 thf(f466,plain,(
% 0.20/0.51 ((sK0 @ sK7 @ sK13) = $true) | ~spl2_24),
% 0.20/0.51 inference(avatar_component_clause,[],[f464])).
% 0.20/0.51 thf(f464,plain,(
% 0.20/0.51 spl2_24 <=> ((sK0 @ sK7 @ sK13) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_24])])).
% 0.20/0.51 thf(f1163,plain,(
% 0.20/0.51 spl2_28 | ~spl2_33 | ~spl2_34),
% 0.20/0.51 inference(avatar_split_clause,[],[f1150,f506,f502,f483])).
% 0.20/0.51 thf(f483,plain,(
% 0.20/0.51 spl2_28 <=> ! [X4] : ((sK0 @ X4 @ X4) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_28])])).
% 0.20/0.51 thf(f502,plain,(
% 0.20/0.51 spl2_33 <=> ! [X2 : $i > $o,X3] : (((X2 @ X3) = $true) | ($false = (X2 @ (sK3 @ X3 @ X2))))),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_33])])).
% 0.20/0.51 thf(f506,plain,(
% 0.20/0.51 spl2_34 <=> ! [X2 : $i > $o,X3] : (((sK0 @ X3 @ (sK3 @ X3 @ X2)) = $true) | ((X2 @ X3) = $true))),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_34])])).
% 0.20/0.51 thf(f1150,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ X0 @ X0) = $true)) ) | (~spl2_33 | ~spl2_34)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1149])).
% 0.20/0.51 thf(f1149,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ X0 @ X0) = $true) | ($true = $false)) ) | (~spl2_33 | ~spl2_34)),
% 0.20/0.51 inference(duplicate_literal_removal,[],[f1145])).
% 0.20/0.51 thf(f1145,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (($true = $false) | ((sK0 @ X0 @ X0) = $true) | ((sK0 @ X0 @ X0) = $true)) ) | (~spl2_33 | ~spl2_34)),
% 0.20/0.51 inference(superposition,[],[f503,f507])).
% 0.20/0.51 thf(f507,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i] : (((sK0 @ X3 @ (sK3 @ X3 @ X2)) = $true) | ((X2 @ X3) = $true)) ) | ~spl2_34),
% 0.20/0.51 inference(avatar_component_clause,[],[f506])).
% 0.20/0.51 thf(f503,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i] : (($false = (X2 @ (sK3 @ X3 @ X2))) | ((X2 @ X3) = $true)) ) | ~spl2_33),
% 0.20/0.51 inference(avatar_component_clause,[],[f502])).
% 0.20/0.51 thf(f1077,plain,(
% 0.20/0.51 ~spl2_17 | ~spl2_20 | ~spl2_22 | ~spl2_25),
% 0.20/0.51 inference(avatar_contradiction_clause,[],[f1076])).
% 0.20/0.51 thf(f1076,plain,(
% 0.20/0.51 $false | (~spl2_17 | ~spl2_20 | ~spl2_22 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1075])).
% 0.20/0.51 thf(f1075,plain,(
% 0.20/0.51 ($true = $false) | (~spl2_17 | ~spl2_20 | ~spl2_22 | ~spl2_25)),
% 0.20/0.51 inference(backward_demodulation,[],[f455,f1070])).
% 0.20/0.51 thf(f1070,plain,(
% 0.20/0.51 ((sK0 @ sK11 @ sK9) = $false) | (~spl2_17 | ~spl2_20 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1059])).
% 0.20/0.51 thf(f1059,plain,(
% 0.20/0.51 ($true = $false) | ((sK0 @ sK11 @ sK9) = $false) | (~spl2_17 | ~spl2_20 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f446,f1024])).
% 0.20/0.51 thf(f1024,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ sK12 @ X0) = $false) | ((sK0 @ X0 @ sK9) = $false)) ) | (~spl2_17 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1020])).
% 0.20/0.51 thf(f1020,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ X0 @ sK9) = $false) | ($true = $false) | ((sK0 @ sK12 @ X0) = $false)) ) | (~spl2_17 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f430,f473])).
% 0.20/0.51 thf(f430,plain,(
% 0.20/0.51 ((sK0 @ sK12 @ sK9) = $false) | ~spl2_17),
% 0.20/0.51 inference(avatar_component_clause,[],[f428])).
% 0.20/0.51 thf(f428,plain,(
% 0.20/0.51 spl2_17 <=> ((sK0 @ sK12 @ sK9) = $false)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_17])])).
% 0.20/0.51 thf(f446,plain,(
% 0.20/0.51 ($true = (sK0 @ sK12 @ sK11)) | ~spl2_20),
% 0.20/0.51 inference(avatar_component_clause,[],[f444])).
% 0.20/0.51 thf(f444,plain,(
% 0.20/0.51 spl2_20 <=> ($true = (sK0 @ sK12 @ sK11))),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_20])])).
% 0.20/0.51 thf(f455,plain,(
% 0.20/0.51 ((sK0 @ sK11 @ sK9) = $true) | ~spl2_22),
% 0.20/0.51 inference(avatar_component_clause,[],[f453])).
% 0.20/0.51 thf(f453,plain,(
% 0.20/0.51 spl2_22 <=> ((sK0 @ sK11 @ sK9) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_22])])).
% 0.20/0.51 thf(f1010,plain,(
% 0.20/0.51 ~spl2_1 | ~spl2_16 | ~spl2_28),
% 0.20/0.51 inference(avatar_contradiction_clause,[],[f1009])).
% 0.20/0.51 thf(f1009,plain,(
% 0.20/0.51 $false | (~spl2_1 | ~spl2_16 | ~spl2_28)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1008])).
% 0.20/0.51 thf(f1008,plain,(
% 0.20/0.51 ($true = $false) | (~spl2_1 | ~spl2_16 | ~spl2_28)),
% 0.20/0.51 inference(backward_demodulation,[],[f536,f356])).
% 0.20/0.51 thf(f356,plain,(
% 0.20/0.51 ((sK1 @ sK10) = $false) | ~spl2_1),
% 0.20/0.51 inference(avatar_component_clause,[],[f354])).
% 0.20/0.51 thf(f354,plain,(
% 0.20/0.51 spl2_1 <=> ((sK1 @ sK10) = $false)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.20/0.51 thf(f536,plain,(
% 0.20/0.51 ((sK1 @ sK10) = $true) | (~spl2_16 | ~spl2_28)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f532])).
% 0.20/0.51 thf(f532,plain,(
% 0.20/0.51 ((sK1 @ sK10) = $true) | ($true = $false) | (~spl2_16 | ~spl2_28)),
% 0.20/0.51 inference(superposition,[],[f426,f484])).
% 0.20/0.51 thf(f484,plain,(
% 0.20/0.51 ( ! [X4 : $i] : (((sK0 @ X4 @ X4) = $true)) ) | ~spl2_28),
% 0.20/0.51 inference(avatar_component_clause,[],[f483])).
% 0.20/0.51 thf(f426,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK10 @ X1) = $false) | ((sK1 @ X1) = $true)) ) | ~spl2_16),
% 0.20/0.51 inference(avatar_component_clause,[],[f425])).
% 0.20/0.51 thf(f425,plain,(
% 0.20/0.51 spl2_16 <=> ! [X1] : (((sK1 @ X1) = $true) | ((sK0 @ sK10 @ X1) = $false))),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_16])])).
% 0.20/0.51 thf(f1007,plain,(
% 0.20/0.51 ~spl2_2 | ~spl2_5 | ~spl2_10 | ~spl2_12 | ~spl2_25),
% 0.20/0.51 inference(avatar_contradiction_clause,[],[f1006])).
% 0.20/0.51 thf(f1006,plain,(
% 0.20/0.51 $false | (~spl2_2 | ~spl2_5 | ~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f1005])).
% 0.20/0.51 thf(f1005,plain,(
% 0.20/0.51 ($true = $false) | (~spl2_2 | ~spl2_5 | ~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(forward_demodulation,[],[f1000,f360])).
% 0.20/0.51 thf(f360,plain,(
% 0.20/0.51 ((sK1 @ sK23) = $false) | ~spl2_2),
% 0.20/0.51 inference(avatar_component_clause,[],[f358])).
% 0.20/0.51 thf(f358,plain,(
% 0.20/0.51 spl2_2 <=> ((sK1 @ sK23) = $false)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.20/0.51 thf(f1000,plain,(
% 0.20/0.51 ((sK1 @ sK23) = $true) | (~spl2_5 | ~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f978])).
% 0.20/0.51 thf(f978,plain,(
% 0.20/0.51 ($true = $false) | ((sK1 @ sK23) = $true) | (~spl2_5 | ~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f975,f373])).
% 0.20/0.51 thf(f373,plain,(
% 0.20/0.51 ($true = (sK0 @ sK19 @ sK23)) | ~spl2_5),
% 0.20/0.51 inference(avatar_component_clause,[],[f371])).
% 0.20/0.51 thf(f371,plain,(
% 0.20/0.51 spl2_5 <=> ($true = (sK0 @ sK19 @ sK23))),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])).
% 0.20/0.51 thf(f975,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ sK19 @ X0) = $false) | ($true = (sK1 @ X0))) ) | (~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f953])).
% 0.20/0.51 thf(f953,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ sK19 @ X0) = $false) | ($true = (sK1 @ X0)) | ($true = $false)) ) | (~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f922,f398])).
% 0.20/0.51 thf(f398,plain,(
% 0.20/0.51 ((sK0 @ sK7 @ sK19) = $true) | ~spl2_10),
% 0.20/0.51 inference(avatar_component_clause,[],[f396])).
% 0.20/0.51 thf(f396,plain,(
% 0.20/0.51 spl2_10 <=> ((sK0 @ sK7 @ sK19) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_10])])).
% 0.20/0.51 thf(f922,plain,(
% 0.20/0.51 ( ! [X0 : $i,X1 : $i] : (((sK0 @ sK7 @ X1) = $false) | ((sK0 @ X1 @ X0) = $false) | ($true = (sK1 @ X0))) ) | (~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f883])).
% 0.20/0.51 thf(f883,plain,(
% 0.20/0.51 ( ! [X0 : $i,X1 : $i] : (($true = (sK1 @ X0)) | ($true = $false) | ((sK0 @ sK7 @ X1) = $false) | ((sK0 @ X1 @ X0) = $false)) ) | (~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f473,f408])).
% 0.20/0.51 thf(f829,plain,(
% 0.20/0.51 spl2_25 | ~spl2_31 | ~spl2_32),
% 0.20/0.51 inference(avatar_split_clause,[],[f818,f498,f494,f472])).
% 0.20/0.51 thf(f494,plain,(
% 0.20/0.51 spl2_31 <=> ! [X3,X8,X5,X2 : $i > $o] : (($true = (X2 @ X8)) | ((sK0 @ X5 @ X8) = $false) | ((X2 @ (sK4 @ X3 @ X2)) = $false) | ((sK0 @ X3 @ X5) = $false))),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_31])])).
% 0.20/0.51 thf(f498,plain,(
% 0.20/0.51 spl2_32 <=> ! [X3,X8,X5,X2 : $i > $o] : (($true = (X2 @ X8)) | ((sK0 @ X3 @ X5) = $false) | ($true = (sK0 @ X3 @ (sK4 @ X3 @ X2))) | ((sK0 @ X5 @ X8) = $false))),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_32])])).
% 0.20/0.51 thf(f818,plain,(
% 0.20/0.51 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ X1) = $true) | ((sK0 @ X2 @ X0) = $false) | ((sK0 @ X0 @ X1) = $false)) ) | (~spl2_31 | ~spl2_32)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f817])).
% 0.20/0.51 thf(f817,plain,(
% 0.20/0.51 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ X0) = $false) | ((sK0 @ X0 @ X1) = $false) | ($false != $false) | ((sK0 @ X2 @ X1) = $true)) ) | (~spl2_31 | ~spl2_32)),
% 0.20/0.51 inference(duplicate_literal_removal,[],[f801])).
% 0.20/0.51 thf(f801,plain,(
% 0.20/0.51 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK0 @ X2 @ X1) = $true) | ($false != $false) | ((sK0 @ X2 @ X0) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ X2 @ X0) = $false) | ((sK0 @ X2 @ X1) = $true)) ) | (~spl2_31 | ~spl2_32)),
% 0.20/0.51 inference(equality_factoring,[],[f703])).
% 0.20/0.51 thf(f703,plain,(
% 0.20/0.51 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((sK0 @ X3 @ X4) = $false) | ((sK0 @ X1 @ X2) = $false) | ((sK0 @ X0 @ X3) = $false) | ((sK0 @ X0 @ X2) = $true) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ X0 @ X4) = $true)) ) | (~spl2_31 | ~spl2_32)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f694])).
% 0.20/0.51 thf(f694,plain,(
% 0.20/0.51 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((sK0 @ X1 @ X2) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ X0 @ X2) = $true) | ((sK0 @ X0 @ X3) = $false) | ((sK0 @ X0 @ X4) = $true) | ($true = $false) | ((sK0 @ X3 @ X4) = $false)) ) | (~spl2_31 | ~spl2_32)),
% 0.20/0.51 inference(superposition,[],[f499,f495])).
% 0.20/0.51 thf(f495,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X8 : $i,X5 : $i] : (((X2 @ (sK4 @ X3 @ X2)) = $false) | ((sK0 @ X3 @ X5) = $false) | ((sK0 @ X5 @ X8) = $false) | ($true = (X2 @ X8))) ) | ~spl2_31),
% 0.20/0.51 inference(avatar_component_clause,[],[f494])).
% 0.20/0.51 thf(f499,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X8 : $i,X5 : $i] : (($true = (sK0 @ X3 @ (sK4 @ X3 @ X2))) | ((sK0 @ X5 @ X8) = $false) | ($true = (X2 @ X8)) | ((sK0 @ X3 @ X5) = $false)) ) | ~spl2_32),
% 0.20/0.51 inference(avatar_component_clause,[],[f498])).
% 0.20/0.51 thf(f663,plain,(
% 0.20/0.51 ~spl2_11 | ~spl2_13 | ~spl2_14 | ~spl2_25),
% 0.20/0.51 inference(avatar_contradiction_clause,[],[f662])).
% 0.20/0.51 thf(f662,plain,(
% 0.20/0.51 $false | (~spl2_11 | ~spl2_13 | ~spl2_14 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f661])).
% 0.20/0.51 thf(f661,plain,(
% 0.20/0.51 ($true = $false) | (~spl2_11 | ~spl2_13 | ~spl2_14 | ~spl2_25)),
% 0.20/0.51 inference(backward_demodulation,[],[f418,f659])).
% 0.20/0.51 thf(f659,plain,(
% 0.20/0.51 ((sK0 @ sK17 @ sK9) = $false) | (~spl2_11 | ~spl2_13 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f651])).
% 0.20/0.51 thf(f651,plain,(
% 0.20/0.51 ($true = $false) | ((sK0 @ sK17 @ sK9) = $false) | (~spl2_11 | ~spl2_13 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f413,f644])).
% 0.20/0.51 thf(f644,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ sK18 @ X0) = $false) | ((sK0 @ X0 @ sK9) = $false)) ) | (~spl2_11 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f641])).
% 0.20/0.51 thf(f641,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ sK18 @ X0) = $false) | ((sK0 @ X0 @ sK9) = $false) | ($true = $false)) ) | (~spl2_11 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f473,f405])).
% 0.20/0.51 thf(f405,plain,(
% 0.20/0.51 ((sK0 @ sK18 @ sK9) = $false) | ~spl2_11),
% 0.20/0.51 inference(avatar_component_clause,[],[f403])).
% 0.20/0.51 thf(f403,plain,(
% 0.20/0.51 spl2_11 <=> ((sK0 @ sK18 @ sK9) = $false)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_11])])).
% 0.20/0.51 thf(f413,plain,(
% 0.20/0.51 ((sK0 @ sK18 @ sK17) = $true) | ~spl2_13),
% 0.20/0.51 inference(avatar_component_clause,[],[f411])).
% 0.20/0.51 thf(f411,plain,(
% 0.20/0.51 spl2_13 <=> ((sK0 @ sK18 @ sK17) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_13])])).
% 0.20/0.51 thf(f418,plain,(
% 0.20/0.51 ((sK0 @ sK17 @ sK9) = $true) | ~spl2_14),
% 0.20/0.51 inference(avatar_component_clause,[],[f416])).
% 0.20/0.51 thf(f416,plain,(
% 0.20/0.51 spl2_14 <=> ((sK0 @ sK17 @ sK9) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_14])])).
% 0.20/0.51 thf(f638,plain,(
% 0.20/0.51 ~spl2_6 | ~spl2_8 | ~spl2_10 | ~spl2_12 | ~spl2_25),
% 0.20/0.51 inference(avatar_contradiction_clause,[],[f637])).
% 0.20/0.51 thf(f637,plain,(
% 0.20/0.51 $false | (~spl2_6 | ~spl2_8 | ~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f636])).
% 0.20/0.51 thf(f636,plain,(
% 0.20/0.51 ($true = $false) | (~spl2_6 | ~spl2_8 | ~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(forward_demodulation,[],[f626,f378])).
% 0.20/0.51 thf(f378,plain,(
% 0.20/0.51 ((sK1 @ sK22) = $false) | ~spl2_6),
% 0.20/0.51 inference(avatar_component_clause,[],[f376])).
% 0.20/0.51 thf(f376,plain,(
% 0.20/0.51 spl2_6 <=> ((sK1 @ sK22) = $false)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])).
% 0.20/0.51 thf(f626,plain,(
% 0.20/0.51 ((sK1 @ sK22) = $true) | (~spl2_8 | ~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f623])).
% 0.20/0.51 thf(f623,plain,(
% 0.20/0.51 ((sK1 @ sK22) = $true) | ($true = $false) | (~spl2_8 | ~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f387,f612])).
% 0.20/0.51 thf(f612,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ sK19 @ X0) = $false) | ($true = (sK1 @ X0))) ) | (~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f604])).
% 0.20/0.51 thf(f604,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ sK19 @ X0) = $false) | ($true = (sK1 @ X0)) | ($true = $false)) ) | (~spl2_10 | ~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f552,f398])).
% 0.20/0.51 thf(f552,plain,(
% 0.20/0.51 ( ! [X0 : $i,X1 : $i] : (((sK0 @ sK7 @ X1) = $false) | ((sK0 @ X1 @ X0) = $false) | ($true = (sK1 @ X0))) ) | (~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f539])).
% 0.20/0.51 thf(f539,plain,(
% 0.20/0.51 ( ! [X0 : $i,X1 : $i] : (((sK0 @ X1 @ X0) = $false) | ((sK0 @ sK7 @ X1) = $false) | ($true = $false) | ($true = (sK1 @ X0))) ) | (~spl2_12 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f473,f408])).
% 0.20/0.51 thf(f387,plain,(
% 0.20/0.51 ((sK0 @ sK19 @ sK22) = $true) | ~spl2_8),
% 0.20/0.51 inference(avatar_component_clause,[],[f385])).
% 0.20/0.51 thf(f385,plain,(
% 0.20/0.51 spl2_8 <=> ((sK0 @ sK19 @ sK22) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_8])])).
% 0.20/0.51 thf(f570,plain,(
% 0.20/0.51 ~spl2_4 | ~spl2_7 | ~spl2_9 | ~spl2_25),
% 0.20/0.51 inference(avatar_contradiction_clause,[],[f569])).
% 0.20/0.51 thf(f569,plain,(
% 0.20/0.51 $false | (~spl2_4 | ~spl2_7 | ~spl2_9 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f568])).
% 0.20/0.51 thf(f568,plain,(
% 0.20/0.51 ($true = $false) | (~spl2_4 | ~spl2_7 | ~spl2_9 | ~spl2_25)),
% 0.20/0.51 inference(backward_demodulation,[],[f392,f567])).
% 0.20/0.51 thf(f567,plain,(
% 0.20/0.51 ((sK0 @ sK20 @ sK9) = $false) | (~spl2_4 | ~spl2_7 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f558])).
% 0.20/0.51 thf(f558,plain,(
% 0.20/0.51 ($true = $false) | ((sK0 @ sK20 @ sK9) = $false) | (~spl2_4 | ~spl2_7 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f382,f549])).
% 0.20/0.51 thf(f549,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ sK21 @ X0) = $false) | ((sK0 @ X0 @ sK9) = $false)) ) | (~spl2_4 | ~spl2_25)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f541])).
% 0.20/0.51 thf(f541,plain,(
% 0.20/0.51 ( ! [X0 : $i] : (((sK0 @ X0 @ sK9) = $false) | ((sK0 @ sK21 @ X0) = $false) | ($true = $false)) ) | (~spl2_4 | ~spl2_25)),
% 0.20/0.51 inference(superposition,[],[f473,f368])).
% 0.20/0.51 thf(f368,plain,(
% 0.20/0.51 ((sK0 @ sK21 @ sK9) = $false) | ~spl2_4),
% 0.20/0.51 inference(avatar_component_clause,[],[f366])).
% 0.20/0.51 thf(f366,plain,(
% 0.20/0.51 spl2_4 <=> ((sK0 @ sK21 @ sK9) = $false)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
% 0.20/0.51 thf(f382,plain,(
% 0.20/0.51 ((sK0 @ sK21 @ sK20) = $true) | ~spl2_7),
% 0.20/0.51 inference(avatar_component_clause,[],[f380])).
% 0.20/0.51 thf(f380,plain,(
% 0.20/0.51 spl2_7 <=> ((sK0 @ sK21 @ sK20) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_7])])).
% 0.20/0.51 thf(f392,plain,(
% 0.20/0.51 ((sK0 @ sK20 @ sK9) = $true) | ~spl2_9),
% 0.20/0.51 inference(avatar_component_clause,[],[f390])).
% 0.20/0.51 thf(f390,plain,(
% 0.20/0.51 spl2_9 <=> ((sK0 @ sK20 @ sK9) = $true)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_9])])).
% 0.20/0.51 thf(f517,plain,(
% 0.20/0.51 ~spl2_3 | ~spl2_28),
% 0.20/0.51 inference(avatar_contradiction_clause,[],[f516])).
% 0.20/0.51 thf(f516,plain,(
% 0.20/0.51 $false | (~spl2_3 | ~spl2_28)),
% 0.20/0.51 inference(trivial_inequality_removal,[],[f511])).
% 0.20/0.51 thf(f511,plain,(
% 0.20/0.51 ($true = $false) | (~spl2_3 | ~spl2_28)),
% 0.20/0.51 inference(superposition,[],[f364,f484])).
% 0.20/0.51 thf(f364,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ~spl2_3),
% 0.20/0.51 inference(avatar_component_clause,[],[f362])).
% 0.20/0.51 thf(f362,plain,(
% 0.20/0.51 spl2_3 <=> ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
% 0.20/0.51 thf(f508,plain,(
% 0.20/0.51 spl2_28 | spl2_34),
% 0.20/0.51 inference(avatar_split_clause,[],[f179,f506,f483])).
% 0.20/0.51 thf(f179,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : (((sK0 @ X3 @ (sK3 @ X3 @ X2)) = $true) | ((sK0 @ X4 @ X4) = $true) | ((X2 @ X3) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f177])).
% 0.20/0.51 thf(f177,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : ((((sK0 @ X3 @ (sK3 @ X3 @ X2)) => (X2 @ (sK3 @ X3 @ X2))) = $false) | ((sK0 @ X4 @ X4) = $true) | ((X2 @ X3) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f176])).
% 0.20/0.51 thf(f176,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : ((((^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0))) @ (sK3 @ X3 @ X2)) = $false) | ((sK0 @ X4 @ X4) = $true) | ((X2 @ X3) = $true)) )),
% 0.20/0.51 inference(sigma_clausification,[],[f175])).
% 0.20/0.51 thf(f175,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : (((X2 @ X3) = $true) | ((sK0 @ X4 @ X4) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 0.20/0.51 inference(not_proxy_clausification,[],[f174])).
% 0.20/0.51 thf(f174,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : (((sK0 @ X4 @ X4) = $true) | ((X2 @ X3) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0))))) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f173])).
% 0.20/0.51 thf(f173,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : (((sK0 @ X4 @ X4) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0))))) | (X2 @ X3)) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f172])).
% 0.20/0.51 thf(f172,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : ((((^[Y0 : $i]: (sK0 @ Y0 @ Y0)) @ X4) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0))))) | (X2 @ X3)) = $true)) )),
% 0.20/0.51 inference(pi_clausification,[],[f171])).
% 0.20/0.51 thf(f171,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i] : (((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0))))) | (X2 @ X3)) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f170])).
% 0.20/0.51 thf(f170,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i] : ((((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1))))) | (X2 @ Y0))) @ X3) = $true) | ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) = $true)) )),
% 0.20/0.51 inference(pi_clausification,[],[f169])).
% 0.20/0.51 thf(f169,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1))))) | (X2 @ Y0)))) = $true) | ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f165])).
% 0.20/0.51 thf(f165,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ X2) @ X2)) = $true) | (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0) = $true)) )),
% 0.20/0.51 inference(definition_unfolding,[],[f135,f125,f140,f160,f139])).
% 0.20/0.51 thf(f139,plain,(
% 0.20/0.51 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.20/0.51 inference(cnf_transformation,[],[f53])).
% 0.20/0.51 thf(f53,plain,(
% 0.20/0.51 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.20/0.51 inference(fool_elimination,[],[f52])).
% 0.20/0.51 thf(f52,plain,(
% 0.20/0.51 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 0.20/0.51 inference(rectify,[],[f8])).
% 0.20/0.51 thf(f8,axiom,(
% 0.20/0.51 ((^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))) = mbox)),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.20/0.51 thf(f160,plain,(
% 0.20/0.51 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.20/0.51 inference(definition_unfolding,[],[f155,f158,f154])).
% 0.20/0.51 thf(f154,plain,(
% 0.20/0.51 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.20/0.51 inference(cnf_transformation,[],[f102])).
% 0.20/0.51 thf(f102,plain,(
% 0.20/0.51 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.20/0.51 inference(fool_elimination,[],[f101])).
% 0.20/0.51 thf(f101,plain,(
% 0.20/0.51 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.20/0.51 inference(rectify,[],[f3])).
% 0.20/0.51 thf(f3,axiom,(
% 0.20/0.51 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.20/0.51 thf(f158,plain,(
% 0.20/0.51 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.20/0.51 inference(cnf_transformation,[],[f80])).
% 0.20/0.51 thf(f80,plain,(
% 0.20/0.51 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.20/0.51 inference(fool_elimination,[],[f79])).
% 0.20/0.51 thf(f79,plain,(
% 0.20/0.51 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.20/0.51 inference(rectify,[],[f4])).
% 0.20/0.51 thf(f4,axiom,(
% 0.20/0.51 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) | (X0 @ X1))) = mor)),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.20/0.51 thf(f155,plain,(
% 0.20/0.51 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.20/0.51 inference(cnf_transformation,[],[f98])).
% 0.20/0.51 thf(f98,plain,(
% 0.20/0.51 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.20/0.51 inference(fool_elimination,[],[f97])).
% 0.20/0.51 thf(f97,plain,(
% 0.20/0.51 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.20/0.51 inference(rectify,[],[f6])).
% 0.20/0.51 thf(f6,axiom,(
% 0.20/0.51 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimpl)).
% 0.20/0.51 thf(f140,plain,(
% 0.20/0.51 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.20/0.51 inference(cnf_transformation,[],[f67])).
% 0.20/0.51 thf(f67,plain,(
% 0.20/0.51 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.20/0.51 inference(fool_elimination,[],[f66])).
% 0.20/0.51 thf(f66,plain,(
% 0.20/0.51 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.20/0.51 inference(rectify,[],[f12])).
% 0.20/0.51 thf(f12,axiom,(
% 0.20/0.51 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.20/0.51 thf(f125,plain,(
% 0.20/0.51 (reflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.20/0.51 inference(cnf_transformation,[],[f49])).
% 0.20/0.51 thf(f49,plain,(
% 0.20/0.51 (reflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.20/0.51 inference(fool_elimination,[],[f48])).
% 0.20/0.51 thf(f48,plain,(
% 0.20/0.51 ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = reflexive)),
% 0.20/0.51 inference(rectify,[],[f24])).
% 0.20/0.51 thf(f24,axiom,(
% 0.20/0.51 ((^[X4 : $i > $i > $o] : (! [X0] : (X4 @ X0 @ X0))) = reflexive)),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexive)).
% 0.20/0.51 thf(f135,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o] : (((reflexive @ sK0) = $true) | ((mvalid @ (mimpl @ (mbox @ sK0 @ X2) @ X2)) = $true)) )),
% 0.20/0.51 inference(cnf_transformation,[],[f118])).
% 0.20/0.51 thf(f118,plain,(
% 0.20/0.51 (((reflexive @ sK0) != $true) | ((transitive @ sK0) != $true) | (((mvalid @ (mimpl @ (mbox @ sK0 @ sK1) @ sK1)) != $true) | ((mvalid @ (mimpl @ (mbox @ sK0 @ sK1) @ (mbox @ sK0 @ (mbox @ sK0 @ sK1)))) != $true))) & ((((reflexive @ sK0) = $true) & ((transitive @ sK0) = $true)) | ! [X2 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ sK0 @ X2) @ X2)) = $true) & ((mvalid @ (mimpl @ (mbox @ sK0 @ X2) @ (mbox @ sK0 @ (mbox @ sK0 @ X2)))) = $true)))),
% 0.20/0.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f115,f117,f116])).
% 0.20/0.51 thf(f116,plain,(
% 0.20/0.51 ? [X0 : $i > $i > $o] : ((((reflexive @ X0) != $true) | ((transitive @ X0) != $true) | ? [X1 : $i > $o] : (($true != (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1))) | ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) != $true))) & ((((reflexive @ X0) = $true) & ((transitive @ X0) = $true)) | ! [X2 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ X0 @ X2) @ X2)) = $true) & ((mvalid @ (mimpl @ (mbox @ X0 @ X2) @ (mbox @ X0 @ (mbox @ X0 @ X2)))) = $true)))) => ((((reflexive @ sK0) != $true) | ((transitive @ sK0) != $true) | ? [X1 : $i > $o] : (($true != (mvalid @ (mimpl @ (mbox @ sK0 @ X1) @ X1))) | ((mvalid @ (mimpl @ (mbox @ sK0 @ X1) @ (mbox @ sK0 @ (mbox @ sK0 @ X1)))) != $true))) & ((((reflexive @ sK0) = $true) & ((transitive @ sK0) = $true)) | ! [X2 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ sK0 @ X2) @ X2)) = $true) & ((mvalid @ (mimpl @ (mbox @ sK0 @ X2) @ (mbox @ sK0 @ (mbox @ sK0 @ X2)))) = $true))))),
% 0.20/0.51 introduced(choice_axiom,[])).
% 0.20/0.51 thf(f117,plain,(
% 0.20/0.51 ? [X1 : $i > $o] : (($true != (mvalid @ (mimpl @ (mbox @ sK0 @ X1) @ X1))) | ((mvalid @ (mimpl @ (mbox @ sK0 @ X1) @ (mbox @ sK0 @ (mbox @ sK0 @ X1)))) != $true)) => (((mvalid @ (mimpl @ (mbox @ sK0 @ sK1) @ sK1)) != $true) | ((mvalid @ (mimpl @ (mbox @ sK0 @ sK1) @ (mbox @ sK0 @ (mbox @ sK0 @ sK1)))) != $true))),
% 0.20/0.51 introduced(choice_axiom,[])).
% 0.20/0.51 thf(f115,plain,(
% 0.20/0.51 ? [X0 : $i > $i > $o] : ((((reflexive @ X0) != $true) | ((transitive @ X0) != $true) | ? [X1 : $i > $o] : (($true != (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1))) | ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) != $true))) & ((((reflexive @ X0) = $true) & ((transitive @ X0) = $true)) | ! [X2 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ X0 @ X2) @ X2)) = $true) & ((mvalid @ (mimpl @ (mbox @ X0 @ X2) @ (mbox @ X0 @ (mbox @ X0 @ X2)))) = $true))))),
% 0.20/0.51 inference(rectify,[],[f114])).
% 0.20/0.51 thf(f114,plain,(
% 0.20/0.51 ? [X0 : $i > $i > $o] : ((((reflexive @ X0) != $true) | ((transitive @ X0) != $true) | ? [X1 : $i > $o] : (($true != (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1))) | ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) != $true))) & ((((reflexive @ X0) = $true) & ((transitive @ X0) = $true)) | ! [X1 : $i > $o] : (($true = (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1))) & ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) = $true))))),
% 0.20/0.51 inference(flattening,[],[f113])).
% 0.20/0.51 thf(f113,plain,(
% 0.20/0.51 ? [X0 : $i > $i > $o] : (((((reflexive @ X0) != $true) | ((transitive @ X0) != $true)) | ? [X1 : $i > $o] : (($true != (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1))) | ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) != $true))) & ((((reflexive @ X0) = $true) & ((transitive @ X0) = $true)) | ! [X1 : $i > $o] : (($true = (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1))) & ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) = $true))))),
% 0.20/0.51 inference(nnf_transformation,[],[f112])).
% 0.20/0.51 thf(f112,plain,(
% 0.20/0.51 ? [X0 : $i > $i > $o] : (! [X1 : $i > $o] : (($true = (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1))) & ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) = $true)) <~> (((reflexive @ X0) = $true) & ((transitive @ X0) = $true)))),
% 0.20/0.51 inference(ennf_transformation,[],[f57])).
% 0.20/0.51 thf(f57,plain,(
% 0.20/0.51 ~! [X0 : $i > $i > $o] : (! [X1 : $i > $o] : (($true = (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1))) & ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) = $true)) <=> (((reflexive @ X0) = $true) & ((transitive @ X0) = $true)))),
% 0.20/0.51 inference(fool_elimination,[],[f56])).
% 0.20/0.51 thf(f56,plain,(
% 0.20/0.51 ~! [X0 : $i > $i > $o] : (! [X1 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ X0 @ X1) @ (mbox @ X0 @ (mbox @ X0 @ X1)))) & (mvalid @ (mimpl @ (mbox @ X0 @ X1) @ X1))) <=> ((reflexive @ X0) & (transitive @ X0)))),
% 0.20/0.51 inference(rectify,[],[f38])).
% 0.20/0.51 thf(f38,negated_conjecture,(
% 0.20/0.51 ~! [X4 : $i > $i > $o] : (! [X10 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ X4 @ X10) @ (mbox @ X4 @ (mbox @ X4 @ X10)))) & (mvalid @ (mimpl @ (mbox @ X4 @ X10) @ X10))) <=> ((reflexive @ X4) & (transitive @ X4)))),
% 0.20/0.51 inference(negated_conjecture,[],[f37])).
% 0.20/0.51 thf(f37,conjecture,(
% 0.20/0.51 ! [X4 : $i > $i > $o] : (! [X10 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ X4 @ X10) @ (mbox @ X4 @ (mbox @ X4 @ X10)))) & (mvalid @ (mimpl @ (mbox @ X4 @ X10) @ X10))) <=> ((reflexive @ X4) & (transitive @ X4)))),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)).
% 0.20/0.51 thf(f504,plain,(
% 0.20/0.51 spl2_28 | spl2_33),
% 0.20/0.51 inference(avatar_split_clause,[],[f178,f502,f483])).
% 0.20/0.51 thf(f178,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : (((sK0 @ X4 @ X4) = $true) | ((X2 @ X3) = $true) | ($false = (X2 @ (sK3 @ X3 @ X2)))) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f177])).
% 0.20/0.51 thf(f500,plain,(
% 0.20/0.51 spl2_32 | spl2_25),
% 0.20/0.51 inference(avatar_split_clause,[],[f202,f472,f498])).
% 0.20/0.51 thf(f202,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true = (X2 @ X8)) | ((sK0 @ X7 @ X6) = $false) | ((sK0 @ X5 @ X8) = $false) | ((sK0 @ X7 @ X4) = $true) | ($true = (sK0 @ X3 @ (sK4 @ X3 @ X2))) | ((sK0 @ X6 @ X4) = $false) | ((sK0 @ X3 @ X5) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f201])).
% 0.20/0.51 thf(f201,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true = (sK0 @ X3 @ (sK4 @ X3 @ X2))) | ((sK0 @ X7 @ X4) = $true) | ((sK0 @ X3 @ X5) = $false) | (((sK0 @ X6 @ X4) & (sK0 @ X7 @ X6)) = $false) | ((sK0 @ X5 @ X8) = $false) | ($true = (X2 @ X8))) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f200])).
% 0.20/0.51 thf(f200,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X5 @ X8) => (X2 @ X8)) = $true) | ((sK0 @ X3 @ X5) = $false) | ((sK0 @ X7 @ X4) = $true) | (((sK0 @ X6 @ X4) & (sK0 @ X7 @ X6)) = $false) | ($true = (sK0 @ X3 @ (sK4 @ X3 @ X2)))) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f199])).
% 0.20/0.51 thf(f199,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true = (sK0 @ X3 @ (sK4 @ X3 @ X2))) | (((^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0))) @ X8) = $true) | ((sK0 @ X3 @ X5) = $false) | ((sK0 @ X7 @ X4) = $true) | (((sK0 @ X6 @ X4) & (sK0 @ X7 @ X6)) = $false)) )),
% 0.20/0.51 inference(pi_clausification,[],[f198])).
% 0.20/0.51 thf(f198,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((sK0 @ X7 @ X4) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0)))) = $true) | ((sK0 @ X3 @ X5) = $false) | ($true = (sK0 @ X3 @ (sK4 @ X3 @ X2))) | (((sK0 @ X6 @ X4) & (sK0 @ X7 @ X6)) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f197])).
% 0.20/0.51 thf(f197,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((((sK0 @ X6 @ X4) & (sK0 @ X7 @ X6)) => (sK0 @ X7 @ X4)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0)))) = $true) | ((sK0 @ X3 @ X5) = $false) | ($true = (sK0 @ X3 @ (sK4 @ X3 @ X2)))) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f196])).
% 0.20/0.51 thf(f196,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true = (sK0 @ X3 @ (sK4 @ X3 @ X2))) | (((^[Y0 : $i]: (((sK0 @ X6 @ X4) & (sK0 @ Y0 @ X6)) => (sK0 @ Y0 @ X4))) @ X7) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0)))) = $true) | ((sK0 @ X3 @ X5) = $false)) )),
% 0.20/0.51 inference(pi_clausification,[],[f195])).
% 0.20/0.51 thf(f195,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X6 : $i,X4 : $i,X5 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X6 @ X4) & (sK0 @ Y0 @ X6)) => (sK0 @ Y0 @ X4)))) = $true) | ((sK0 @ X3 @ X5) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0)))) = $true) | ($true = (sK0 @ X3 @ (sK4 @ X3 @ X2)))) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f194])).
% 0.20/0.51 thf(f194,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = (sK0 @ X3 @ (sK4 @ X3 @ X2))) | (((sK0 @ X3 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X6 @ X4) & (sK0 @ Y0 @ X6)) => (sK0 @ Y0 @ X4)))) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f192])).
% 0.20/0.51 thf(f192,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X6 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X3 @ (sK4 @ X3 @ X2)) => (X2 @ (sK4 @ X3 @ X2))) = $false) | (((sK0 @ X3 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X6 @ X4) & (sK0 @ Y0 @ X6)) => (sK0 @ Y0 @ X4)))) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f191])).
% 0.20/0.51 thf(f191,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X6 : $i,X4 : $i,X5 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X4) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ X4))))) @ X6) = $true) | (((sK0 @ X3 @ (sK4 @ X3 @ X2)) => (X2 @ (sK4 @ X3 @ X2))) = $false) | (((sK0 @ X3 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0))))) = $true)) )),
% 0.20/0.51 inference(pi_clausification,[],[f190])).
% 0.20/0.51 thf(f190,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i,X5 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X4) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ X4)))))) = $true) | (((sK0 @ X3 @ (sK4 @ X3 @ X2)) => (X2 @ (sK4 @ X3 @ X2))) = $false) | (((sK0 @ X3 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0))))) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f189])).
% 0.20/0.51 thf(f189,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i,X5 : $i] : ((((^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1)))))) @ X5) = $true) | (((sK0 @ X3 @ (sK4 @ X3 @ X2)) => (X2 @ (sK4 @ X3 @ X2))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X4) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ X4)))))) = $true)) )),
% 0.20/0.51 inference(pi_clausification,[],[f188])).
% 0.20/0.51 thf(f188,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1)))))))) | (((sK0 @ X3 @ (sK4 @ X3 @ X2)) => (X2 @ (sK4 @ X3 @ X2))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X4) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ X4)))))) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f187])).
% 0.20/0.51 thf(f187,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X4) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ X4)))))) = $true) | (((^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0))) @ (sK4 @ X3 @ X2)) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1))))))))) )),
% 0.20/0.51 inference(sigma_clausification,[],[f186])).
% 0.20/0.51 thf(f186,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0)))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1)))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ X4) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ X4)))))) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f185])).
% 0.20/0.51 thf(f185,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0))))))) @ X4) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1)))))))) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 0.20/0.51 inference(pi_clausification,[],[f184])).
% 0.20/0.51 thf(f184,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0)))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0)))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1))))))))) )),
% 0.20/0.51 inference(not_proxy_clausification,[],[f183])).
% 0.20/0.51 thf(f183,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0)))))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1))))))))) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f182])).
% 0.20/0.51 thf(f182,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (X2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1)))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0)))))))) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f181])).
% 0.20/0.51 thf(f181,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i] : ((((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y1 @ Y2) => (X2 @ Y2))))))))) @ X3) = $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0)))))))) = $true)) )),
% 0.20/0.51 inference(pi_clausification,[],[f180])).
% 0.20/0.51 thf(f180,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (X2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y1 @ Y2) => (X2 @ Y2))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0)))))))) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f168])).
% 0.20/0.51 thf(f168,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o] : ((((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1))))))))) @ sK0) = $true) | (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ X2) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ X2)))) = $true)) )),
% 0.20/0.51 inference(definition_unfolding,[],[f132,f145,f140,f160,f139,f139,f139])).
% 0.20/0.51 thf(f145,plain,(
% 0.20/0.51 (transitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1))))))))))),
% 0.20/0.51 inference(cnf_transformation,[],[f41])).
% 0.20/0.51 thf(f41,plain,(
% 0.20/0.51 (transitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1))))))))))),
% 0.20/0.51 inference(fool_elimination,[],[f40])).
% 0.20/0.51 thf(f40,plain,(
% 0.20/0.51 ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X1 @ X2) & (X0 @ X2 @ X3)) => (X0 @ X1 @ X3)))) = transitive)),
% 0.20/0.51 inference(rectify,[],[f27])).
% 0.20/0.51 thf(f27,axiom,(
% 0.20/0.51 ((^[X4 : $i > $i > $o] : (! [X0,X2,X12] : (((X4 @ X0 @ X2) & (X4 @ X2 @ X12)) => (X4 @ X0 @ X12)))) = transitive)),
% 0.20/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive)).
% 0.20/0.51 thf(f132,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o] : (((transitive @ sK0) = $true) | ((mvalid @ (mimpl @ (mbox @ sK0 @ X2) @ (mbox @ sK0 @ (mbox @ sK0 @ X2)))) = $true)) )),
% 0.20/0.51 inference(cnf_transformation,[],[f118])).
% 0.20/0.51 thf(f496,plain,(
% 0.20/0.51 spl2_31 | spl2_25),
% 0.20/0.51 inference(avatar_split_clause,[],[f210,f472,f494])).
% 0.20/0.51 thf(f210,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true = (X2 @ X8)) | ((sK0 @ X3 @ X5) = $false) | ((sK0 @ X7 @ X4) = $true) | ((X2 @ (sK4 @ X3 @ X2)) = $false) | ((sK0 @ X6 @ X4) = $false) | ((sK0 @ X5 @ X8) = $false) | ((sK0 @ X7 @ X6) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f209])).
% 0.20/0.51 thf(f209,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((sK0 @ X7 @ X4) = $true) | ((X2 @ (sK4 @ X3 @ X2)) = $false) | ($true = (X2 @ X8)) | (((sK0 @ X6 @ X4) & (sK0 @ X7 @ X6)) = $false) | ((sK0 @ X5 @ X8) = $false) | ((sK0 @ X3 @ X5) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f208])).
% 0.20/0.51 thf(f208,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((sK0 @ X3 @ X5) = $false) | ($true = (X2 @ X8)) | ((X2 @ (sK4 @ X3 @ X2)) = $false) | ((((sK0 @ X6 @ X4) & (sK0 @ X7 @ X6)) => (sK0 @ X7 @ X4)) = $true) | ((sK0 @ X5 @ X8) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f207])).
% 0.20/0.51 thf(f207,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X5 @ X8) => (X2 @ X8)) = $true) | ((((sK0 @ X6 @ X4) & (sK0 @ X7 @ X6)) => (sK0 @ X7 @ X4)) = $true) | ((X2 @ (sK4 @ X3 @ X2)) = $false) | ((sK0 @ X3 @ X5) = $false)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f206])).
% 0.20/0.51 thf(f206,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((((sK0 @ X6 @ X4) & (sK0 @ X7 @ X6)) => (sK0 @ X7 @ X4)) = $true) | ((X2 @ (sK4 @ X3 @ X2)) = $false) | ((sK0 @ X3 @ X5) = $false) | (((^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0))) @ X8) = $true)) )),
% 0.20/0.51 inference(pi_clausification,[],[f205])).
% 0.20/0.51 thf(f205,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0)))) = $true) | ((X2 @ (sK4 @ X3 @ X2)) = $false) | ((((sK0 @ X6 @ X4) & (sK0 @ X7 @ X6)) => (sK0 @ X7 @ X4)) = $true) | ((sK0 @ X3 @ X5) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f204])).
% 0.20/0.51 thf(f204,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X3 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0))))) = $true) | ((X2 @ (sK4 @ X3 @ X2)) = $false) | ((((sK0 @ X6 @ X4) & (sK0 @ X7 @ X6)) => (sK0 @ X7 @ X4)) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f203])).
% 0.20/0.51 thf(f203,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((X2 @ (sK4 @ X3 @ X2)) = $false) | (((sK0 @ X3 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0))))) = $true) | (((^[Y0 : $i]: (((sK0 @ X6 @ X4) & (sK0 @ Y0 @ X6)) => (sK0 @ Y0 @ X4))) @ X7) = $true)) )),
% 0.20/0.51 inference(pi_clausification,[],[f193])).
% 0.20/0.51 thf(f193,plain,(
% 0.20/0.51 ( ! [X2 : $i > $o,X3 : $i,X6 : $i,X4 : $i,X5 : $i] : (((X2 @ (sK4 @ X3 @ X2)) = $false) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X6 @ X4) & (sK0 @ Y0 @ X6)) => (sK0 @ Y0 @ X4)))) = $true) | (((sK0 @ X3 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X5 @ Y0) => (X2 @ Y0))))) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f192])).
% 0.20/0.51 thf(f470,plain,(
% 0.20/0.51 spl2_3 | spl2_12 | spl2_16 | spl2_22),
% 0.20/0.51 inference(avatar_split_clause,[],[f276,f453,f425,f407,f362])).
% 0.20/0.51 thf(f276,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : (((sK0 @ sK11 @ sK9) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((sK1 @ X1) = $true) | ((sK1 @ X2) = $true) | ((sK0 @ sK7 @ X2) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f274])).
% 0.20/0.51 thf(f274,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : (((sK1 @ X1) = $true) | ((sK1 @ X2) = $true) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK7 @ X2) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f273])).
% 0.20/0.51 thf(f273,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | (((sK0 @ sK7 @ X2) => (sK1 @ X2)) = $true) | ((sK0 @ sK10 @ X1) = $false) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK1 @ X1) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f272])).
% 0.20/0.51 thf(f272,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))) @ X2) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ X1) = $true) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK0 @ sK10 @ X1) = $false)) )),
% 0.20/0.51 inference(pi_clausification,[],[f271])).
% 0.20/0.51 thf(f271,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))) = $true) | ((sK1 @ X1) = $true) | ((sK0 @ sK10 @ X1) = $false) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(not_proxy_clausification,[],[f270])).
% 0.20/0.51 thf(f270,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))))) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK0 @ sK10 @ X1) = $false) | ((sK1 @ X1) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f268])).
% 0.20/0.51 thf(f268,plain,(
% 0.20/0.51 ( ! [X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((sK0 @ sK10 @ X1) = $false) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK1 @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f266])).
% 0.20/0.51 thf(f266,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) => (sK0 @ sK12 @ sK9)) = $false) | ((sK0 @ sK10 @ X1) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f265])).
% 0.20/0.51 thf(f265,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK1 @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ($false = ((^[Y0 : $i]: (((sK0 @ sK11 @ sK9) & (sK0 @ Y0 @ sK11)) => (sK0 @ Y0 @ sK9))) @ sK12)) | ((sK0 @ sK10 @ X1) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false)) )),
% 0.20/0.51 inference(sigma_clausification,[],[f264])).
% 0.20/0.51 thf(f264,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ X1) = $true) | ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK11 @ sK9) & (sK0 @ Y0 @ sK11)) => (sK0 @ Y0 @ sK9)))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((sK0 @ sK10 @ X1) = $false)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f263])).
% 0.20/0.51 thf(f263,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((sK1 @ X1) = $true) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9))))) @ sK11) = $false)) )),
% 0.20/0.51 inference(sigma_clausification,[],[f262])).
% 0.20/0.51 thf(f262,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ X1) = $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f261])).
% 0.20/0.51 thf(f261,plain,(
% 0.20/0.51 ( ! [X1 : $i] : ((((sK0 @ sK10 @ X1) => (sK1 @ X1)) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f260])).
% 0.20/0.51 thf(f260,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false) | (((^[Y0 : $i]: ((sK0 @ sK10 @ Y0) => (sK1 @ Y0))) @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false)) )),
% 0.20/0.51 inference(pi_clausification,[],[f259])).
% 0.20/0.51 thf(f259,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK10 @ Y0) => (sK1 @ Y0)))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false)),
% 0.20/0.51 inference(not_proxy_clausification,[],[f258])).
% 0.20/0.51 thf(f258,plain,(
% 0.20/0.51 ((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK10 @ Y0) => (sK1 @ Y0))))) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f256])).
% 0.20/0.51 thf(f256,plain,(
% 0.20/0.51 (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK10 @ Y0) => (sK1 @ Y0))))) | (sK1 @ sK10)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f255])).
% 0.20/0.51 thf(f255,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ($false = ((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))) | (sK1 @ Y0))) @ sK10))),
% 0.20/0.51 inference(sigma_clausification,[],[f254])).
% 0.20/0.51 thf(f254,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))) | (sK1 @ Y0)))) != $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f253])).
% 0.20/0.51 thf(f253,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0))))))) @ sK9)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))) | (sK1 @ Y0)))) != $true)),
% 0.20/0.51 inference(sigma_clausification,[],[f252])).
% 0.20/0.51 thf(f252,plain,(
% 0.20/0.51 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0)))))))) != $true) | ((sK0 @ sK8 @ sK8) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))) | (sK1 @ Y0)))) != $true)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f251])).
% 0.20/0.51 thf(f251,plain,(
% 0.20/0.51 (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0)))))))) != $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))) | (sK1 @ Y0)))) != $true) | (((^[Y0 : $i]: (sK0 @ Y0 @ Y0)) @ sK8) = $false)),
% 0.20/0.51 inference(sigma_clausification,[],[f250])).
% 0.20/0.51 thf(f250,plain,(
% 0.20/0.51 ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) != $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))) | (sK1 @ Y0)))) != $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0)))))))) != $true)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f249])).
% 0.20/0.51 thf(f249,plain,(
% 0.20/0.51 ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) != $true) | (((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y1 @ Y2) => (sK1 @ Y2))))))))) @ sK7) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))) | (sK1 @ Y0)))) != $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0)))))))) != $true)),
% 0.20/0.51 inference(sigma_clausification,[],[f248])).
% 0.20/0.51 thf(f248,plain,(
% 0.20/0.51 ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((sK0 @ Y1 @ Y2) => (sK1 @ Y2)))))))))) != $true) | ((!! @ $i @ (^[Y0 : $i]: (sK0 @ Y0 @ Y0))) != $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))) | (sK1 @ Y0)))) != $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y2 @ Y0)))))))) != $true)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f164])).
% 0.20/0.51 thf(f164,plain,(
% 0.20/0.51 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ sK0) != $true) | (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ sK1) @ sK1)) != $true) | (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ sK1) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ sK0 @ sK1)))) != $true) | (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1))))))))) @ sK0) != $true)),
% 0.20/0.51 inference(definition_unfolding,[],[f136,f125,f145,f140,f160,f139,f140,f160,f139,f139,f139])).
% 0.20/0.51 thf(f136,plain,(
% 0.20/0.51 ((reflexive @ sK0) != $true) | ((transitive @ sK0) != $true) | ((mvalid @ (mimpl @ (mbox @ sK0 @ sK1) @ sK1)) != $true) | ((mvalid @ (mimpl @ (mbox @ sK0 @ sK1) @ (mbox @ sK0 @ (mbox @ sK0 @ sK1)))) != $true)),
% 0.20/0.51 inference(cnf_transformation,[],[f118])).
% 0.20/0.51 thf(f469,plain,(
% 0.20/0.51 spl2_3 | spl2_20 | spl2_16 | spl2_12),
% 0.20/0.51 inference(avatar_split_clause,[],[f275,f407,f425,f444,f362])).
% 0.20/0.51 thf(f275,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : (((sK1 @ X2) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK7 @ X2) = $false) | ($true = (sK0 @ sK12 @ sK11))) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f274])).
% 0.20/0.51 thf(f468,plain,(
% 0.20/0.51 spl2_16 | spl2_3 | spl2_24 | spl2_22),
% 0.20/0.51 inference(avatar_split_clause,[],[f282,f453,f464,f362,f425])).
% 0.20/0.51 thf(f282,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK11 @ sK9) = $true) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK7 @ sK13) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ X1) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f280])).
% 0.20/0.51 thf(f280,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK7 @ sK13) = $true) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK1 @ X1) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f278])).
% 0.20/0.51 thf(f278,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (($false = ((sK0 @ sK7 @ sK13) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK13 @ Y0) => (sK1 @ Y0)))))) | ((sK0 @ sK10 @ X1) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f277])).
% 0.20/0.51 thf(f277,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK10 @ X1) = $false) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK1 @ X1) = $true) | (((^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))) @ sK13) = $false) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(sigma_clausification,[],[f269])).
% 0.20/0.51 thf(f269,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))))) = $false) | ((sK1 @ X1) = $true) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f268])).
% 0.20/0.51 thf(f467,plain,(
% 0.20/0.51 spl2_20 | spl2_3 | spl2_24 | spl2_16),
% 0.20/0.51 inference(avatar_split_clause,[],[f281,f425,f464,f362,f444])).
% 0.20/0.51 thf(f281,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK1 @ X1) = $true) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK7 @ sK13) = $true) | ($true = (sK0 @ sK12 @ sK11))) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f280])).
% 0.20/0.51 thf(f462,plain,(
% 0.20/0.51 spl2_23 | spl2_3 | spl2_22 | spl2_16),
% 0.20/0.51 inference(avatar_split_clause,[],[f288,f425,f453,f362,f458])).
% 0.20/0.51 thf(f288,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK13 @ sK14) = $true) | ((sK0 @ sK11 @ sK9) = $true) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ X1) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f286])).
% 0.20/0.51 thf(f286,plain,(
% 0.20/0.51 ( ! [X1 : $i] : ((((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK13 @ sK14) = $true) | ((sK1 @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f284])).
% 0.20/0.51 thf(f284,plain,(
% 0.20/0.51 ( ! [X1 : $i] : ((((sK0 @ sK13 @ sK14) => (sK1 @ sK14)) = $false) | ((sK0 @ sK10 @ X1) = $false) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK1 @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f283])).
% 0.20/0.51 thf(f283,plain,(
% 0.20/0.51 ( ! [X1 : $i] : ((((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | (((^[Y0 : $i]: ((sK0 @ sK13 @ Y0) => (sK1 @ Y0))) @ sK14) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(sigma_clausification,[],[f279])).
% 0.20/0.51 thf(f279,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK1 @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK13 @ Y0) => (sK1 @ Y0)))) = $false) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK0 @ sK10 @ X1) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f278])).
% 0.20/0.51 thf(f461,plain,(
% 0.20/0.51 spl2_3 | spl2_16 | spl2_23 | spl2_20),
% 0.20/0.51 inference(avatar_split_clause,[],[f287,f444,f458,f425,f362])).
% 0.20/0.51 thf(f287,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK1 @ X1) = $true) | ($true = (sK0 @ sK12 @ sK11)) | ((sK0 @ sK13 @ sK14) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK10 @ X1) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f286])).
% 0.20/0.51 thf(f456,plain,(
% 0.20/0.51 spl2_16 | spl2_22 | spl2_3 | spl2_21),
% 0.20/0.51 inference(avatar_split_clause,[],[f290,f448,f362,f453,f425])).
% 0.20/0.51 thf(f290,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK11 @ sK9) = $true) | ((sK0 @ sK10 @ X1) = $false) | ((sK1 @ sK14) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f285])).
% 0.20/0.51 thf(f285,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK10 @ X1) = $false) | ((sK1 @ X1) = $true) | (((sK0 @ sK11 @ sK9) & (sK0 @ sK12 @ sK11)) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK14) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f284])).
% 0.20/0.51 thf(f451,plain,(
% 0.20/0.51 spl2_20 | spl2_21 | spl2_3 | spl2_16),
% 0.20/0.51 inference(avatar_split_clause,[],[f289,f425,f362,f448,f444])).
% 0.20/0.51 thf(f289,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK1 @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ($true = (sK0 @ sK12 @ sK11)) | ((sK1 @ sK14) = $false) | ((sK0 @ sK10 @ X1) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f285])).
% 0.20/0.51 thf(f442,plain,(
% 0.20/0.51 spl2_12 | spl2_16 | spl2_3 | spl2_17),
% 0.20/0.51 inference(avatar_split_clause,[],[f296,f428,f362,f425,f407])).
% 0.20/0.51 thf(f296,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : (((sK1 @ X2) = $true) | ((sK0 @ sK7 @ X2) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK12 @ sK9) = $false) | ((sK1 @ X1) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f295])).
% 0.20/0.51 thf(f295,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : (((sK1 @ X1) = $true) | ((sK0 @ sK12 @ sK9) = $false) | (((sK0 @ sK7 @ X2) => (sK1 @ X2)) = $true) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f294])).
% 0.20/0.51 thf(f294,plain,(
% 0.20/0.51 ( ! [X2 : $i,X1 : $i] : (((sK1 @ X1) = $true) | (((^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))) @ X2) = $true) | ((sK0 @ sK12 @ sK9) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK10 @ X1) = $false)) )),
% 0.20/0.51 inference(pi_clausification,[],[f293])).
% 0.20/0.51 thf(f293,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))) = $true) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK12 @ sK9) = $false)) )),
% 0.20/0.51 inference(not_proxy_clausification,[],[f292])).
% 0.20/0.51 thf(f292,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ X1) = $true) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))))) | ((sK0 @ sK12 @ sK9) = $false) | ((sK0 @ sK10 @ X1) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f267])).
% 0.20/0.51 thf(f267,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK12 @ sK9) = $false) | ((sK0 @ sK10 @ X1) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ X1) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f266])).
% 0.20/0.51 thf(f441,plain,(
% 0.20/0.51 spl2_17 | spl2_19 | spl2_3 | spl2_16),
% 0.20/0.51 inference(avatar_split_clause,[],[f300,f425,f362,f438,f428])).
% 0.20/0.51 thf(f300,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK7 @ sK15) = $true) | ((sK0 @ sK12 @ sK9) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK10 @ X1) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f298])).
% 0.20/0.51 thf(f298,plain,(
% 0.20/0.51 ( ! [X1 : $i] : ((((sK0 @ sK7 @ sK15) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK15 @ Y0) => (sK1 @ Y0))))) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK12 @ sK9) = $false)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f297])).
% 0.20/0.51 thf(f297,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK12 @ sK9) = $false) | ((sK1 @ X1) = $true) | (((^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))) @ sK15) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(sigma_clausification,[],[f291])).
% 0.20/0.51 thf(f291,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK1 @ X1) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))))) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK12 @ sK9) = $false) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f267])).
% 0.20/0.51 thf(f436,plain,(
% 0.20/0.51 spl2_3 | spl2_16 | spl2_17 | spl2_18),
% 0.20/0.51 inference(avatar_split_clause,[],[f304,f433,f428,f425,f362])).
% 0.20/0.51 thf(f304,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK15 @ sK16) = $true) | ((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK12 @ sK9) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f302])).
% 0.20/0.51 thf(f302,plain,(
% 0.20/0.51 ( ! [X1 : $i] : ((((sK0 @ sK15 @ sK16) => (sK1 @ sK16)) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK12 @ sK9) = $false)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f301])).
% 0.20/0.51 thf(f301,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK10 @ X1) = $false) | ((sK0 @ sK8 @ sK8) = $false) | (((^[Y0 : $i]: ((sK0 @ sK15 @ Y0) => (sK1 @ Y0))) @ sK16) = $false) | ((sK0 @ sK12 @ sK9) = $false) | ((sK1 @ X1) = $true)) )),
% 0.20/0.51 inference(sigma_clausification,[],[f299])).
% 0.20/0.51 thf(f299,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK15 @ Y0) => (sK1 @ Y0)))) = $false) | ((sK0 @ sK12 @ sK9) = $false) | ((sK0 @ sK10 @ X1) = $false) | ((sK1 @ X1) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f298])).
% 0.20/0.51 thf(f431,plain,(
% 0.20/0.51 spl2_15 | spl2_16 | spl2_17 | spl2_3),
% 0.20/0.51 inference(avatar_split_clause,[],[f303,f362,f428,f425,f421])).
% 0.20/0.51 thf(f303,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK12 @ sK9) = $false) | ((sK1 @ sK16) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK10 @ X1) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f302])).
% 0.20/0.51 thf(f419,plain,(
% 0.20/0.51 spl2_14 | spl2_12 | spl2_3 | spl2_1),
% 0.20/0.51 inference(avatar_split_clause,[],[f318,f354,f362,f407,f416])).
% 0.20/0.51 thf(f318,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK17 @ sK9) = $true) | ((sK1 @ sK10) = $false) | ((sK0 @ sK7 @ X1) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f317])).
% 0.20/0.51 thf(f317,plain,(
% 0.20/0.51 ( ! [X1 : $i] : ((((sK0 @ sK7 @ X1) => (sK1 @ X1)) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK17 @ sK9) = $true) | ((sK1 @ sK10) = $false)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f316])).
% 0.20/0.51 thf(f316,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK1 @ sK10) = $false) | ((sK0 @ sK17 @ sK9) = $true) | (((^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))) @ X1) = $true) | ((sK0 @ sK8 @ sK8) = $false)) )),
% 0.20/0.51 inference(pi_clausification,[],[f315])).
% 0.20/0.51 thf(f315,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))) = $true) | ((sK1 @ sK10) = $false) | ((sK0 @ sK17 @ sK9) = $true)),
% 0.20/0.51 inference(not_proxy_clausification,[],[f314])).
% 0.20/0.51 thf(f314,plain,(
% 0.20/0.51 ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK17 @ sK9) = $true) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))))),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f312])).
% 0.20/0.51 thf(f312,plain,(
% 0.20/0.51 (((sK0 @ sK17 @ sK9) & (sK0 @ sK18 @ sK17)) = $true) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))))) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK10) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f310])).
% 0.20/0.51 thf(f310,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((((sK0 @ sK17 @ sK9) & (sK0 @ sK18 @ sK17)) => (sK0 @ sK18 @ sK9)) = $false) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))))) | ((sK1 @ sK10) = $false)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f309])).
% 0.20/0.51 thf(f309,plain,(
% 0.20/0.51 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))))) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK10) = $false) | (((^[Y0 : $i]: (((sK0 @ sK17 @ sK9) & (sK0 @ Y0 @ sK17)) => (sK0 @ Y0 @ sK9))) @ sK18) = $false)),
% 0.20/0.51 inference(sigma_clausification,[],[f308])).
% 0.20/0.51 thf(f308,plain,(
% 0.20/0.51 ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK17 @ sK9) & (sK0 @ Y0 @ sK17)) => (sK0 @ Y0 @ sK9)))) = $false) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))))),
% 0.20/0.51 inference(beta_eta_normalization,[],[f307])).
% 0.20/0.51 thf(f307,plain,(
% 0.20/0.51 ((sK1 @ sK10) = $false) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))))) | ((sK0 @ sK8 @ sK8) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9))))) @ sK17) = $false)),
% 0.20/0.51 inference(sigma_clausification,[],[f306])).
% 0.20/0.51 thf(f306,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false) | ((sK1 @ sK10) = $false) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))))),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f257])).
% 0.20/0.51 thf(f257,plain,(
% 0.20/0.51 (((~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK10) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f256])).
% 0.20/0.51 thf(f414,plain,(
% 0.20/0.51 spl2_3 | spl2_13 | spl2_12 | spl2_1),
% 0.20/0.51 inference(avatar_split_clause,[],[f322,f354,f407,f411,f362])).
% 0.20/0.51 thf(f322,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK7 @ X1) = $false) | ((sK1 @ X1) = $true) | ((sK0 @ sK18 @ sK17) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f321])).
% 0.20/0.51 thf(f321,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK18 @ sK17) = $true) | ((sK1 @ sK10) = $false) | (((sK0 @ sK7 @ X1) => (sK1 @ X1)) = $true)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f320])).
% 0.20/0.51 thf(f320,plain,(
% 0.20/0.51 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))) @ X1) = $true) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK18 @ sK17) = $true)) )),
% 0.20/0.51 inference(pi_clausification,[],[f319])).
% 0.20/0.51 thf(f319,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))) = $true) | ((sK0 @ sK18 @ sK17) = $true) | ((sK1 @ sK10) = $false)),
% 0.20/0.51 inference(not_proxy_clausification,[],[f313])).
% 0.20/0.51 thf(f313,plain,(
% 0.20/0.51 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))))) | ((sK0 @ sK18 @ sK17) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK10) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f312])).
% 0.20/0.51 thf(f409,plain,(
% 0.20/0.51 spl2_11 | spl2_1 | spl2_12 | spl2_3),
% 0.20/0.51 inference(avatar_split_clause,[],[f326,f362,f407,f354,f403])).
% 0.20/0.51 thf(f326,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK18 @ sK9) = $false) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK7 @ X1) = $false) | ((sK1 @ X1) = $true)) )),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f325])).
% 0.20/0.51 thf(f325,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK10) = $false) | (((sK0 @ sK7 @ X1) => (sK1 @ X1)) = $true) | ((sK0 @ sK18 @ sK9) = $false)) )),
% 0.20/0.51 inference(beta_eta_normalization,[],[f324])).
% 0.20/0.51 thf(f324,plain,(
% 0.20/0.51 ( ! [X1 : $i] : (((sK1 @ sK10) = $false) | ((sK0 @ sK18 @ sK9) = $false) | ((sK0 @ sK8 @ sK8) = $false) | (((^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0))) @ X1) = $true)) )),
% 0.20/0.51 inference(pi_clausification,[],[f323])).
% 0.20/0.51 thf(f323,plain,(
% 0.20/0.51 ((sK1 @ sK10) = $false) | ((sK0 @ sK18 @ sK9) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))) = $true) | ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 inference(not_proxy_clausification,[],[f311])).
% 0.20/0.51 thf(f311,plain,(
% 0.20/0.51 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (sK1 @ Y0)))))) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK18 @ sK9) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f310])).
% 0.20/0.51 thf(f401,plain,(
% 0.20/0.51 spl2_1 | spl2_9 | spl2_3 | spl2_10),
% 0.20/0.51 inference(avatar_split_clause,[],[f338,f396,f362,f390,f354])).
% 0.20/0.51 thf(f338,plain,(
% 0.20/0.51 ((sK0 @ sK20 @ sK9) = $true) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK7 @ sK19) = $true)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f336])).
% 0.20/0.51 thf(f336,plain,(
% 0.20/0.51 ((sK0 @ sK7 @ sK19) = $true) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false) | (((sK0 @ sK20 @ sK9) & (sK0 @ sK21 @ sK20)) = $true)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f334])).
% 0.20/0.51 thf(f334,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK7 @ sK19) = $true) | ((sK1 @ sK10) = $false) | ((((sK0 @ sK20 @ sK9) & (sK0 @ sK21 @ sK20)) => (sK0 @ sK21 @ sK9)) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f332])).
% 0.20/0.51 thf(f332,plain,(
% 0.20/0.51 ((sK1 @ sK10) = $false) | (((sK0 @ sK7 @ sK19) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK19 @ Y0) => (sK1 @ Y0))))) = $false) | ((((sK0 @ sK20 @ sK9) & (sK0 @ sK21 @ sK20)) => (sK0 @ sK21 @ sK9)) = $false) | ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f331])).
% 0.20/0.51 thf(f331,plain,(
% 0.20/0.51 (((^[Y0 : $i]: (((sK0 @ sK20 @ sK9) & (sK0 @ Y0 @ sK20)) => (sK0 @ Y0 @ sK9))) @ sK21) = $false) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false) | (((sK0 @ sK7 @ sK19) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK19 @ Y0) => (sK1 @ Y0))))) = $false)),
% 0.20/0.51 inference(sigma_clausification,[],[f330])).
% 0.20/0.51 thf(f330,plain,(
% 0.20/0.51 ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK20 @ sK9) & (sK0 @ Y0 @ sK20)) => (sK0 @ Y0 @ sK9))))) | (((sK0 @ sK7 @ sK19) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK19 @ Y0) => (sK1 @ Y0))))) = $false)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f329])).
% 0.20/0.51 thf(f329,plain,(
% 0.20/0.51 (((sK0 @ sK7 @ sK19) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK19 @ Y0) => (sK1 @ Y0))))) = $false) | ((sK1 @ sK10) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9))))) @ sK20) = $false) | ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 inference(sigma_clausification,[],[f328])).
% 0.20/0.51 thf(f328,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false) | (((sK0 @ sK7 @ sK19) => (!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK19 @ Y0) => (sK1 @ Y0))))) = $false) | ((sK1 @ sK10) = $false)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f327])).
% 0.20/0.51 thf(f327,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK10) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false) | (((^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1)))))) @ sK19) = $false)),
% 0.20/0.51 inference(sigma_clausification,[],[f305])).
% 0.20/0.51 thf(f305,plain,(
% 0.20/0.51 ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (sK1 @ Y1))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ sK9) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ sK9)))))) = $false) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f257])).
% 0.20/0.51 thf(f400,plain,(
% 0.20/0.51 spl2_1 | spl2_10 | spl2_3 | spl2_7),
% 0.20/0.51 inference(avatar_split_clause,[],[f337,f380,f362,f396,f354])).
% 0.20/0.51 thf(f337,plain,(
% 0.20/0.51 ((sK0 @ sK21 @ sK20) = $true) | ((sK0 @ sK7 @ sK19) = $true) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f336])).
% 0.20/0.51 thf(f399,plain,(
% 0.20/0.51 spl2_10 | spl2_3 | spl2_4 | spl2_1),
% 0.20/0.51 inference(avatar_split_clause,[],[f335,f354,f366,f362,f396])).
% 0.20/0.51 thf(f335,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((sK0 @ sK21 @ sK9) = $false) | ((sK1 @ sK10) = $false) | ((sK0 @ sK7 @ sK19) = $true)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f334])).
% 0.20/0.51 thf(f394,plain,(
% 0.20/0.51 spl2_8 | spl2_3 | spl2_9 | spl2_1),
% 0.20/0.51 inference(avatar_split_clause,[],[f346,f354,f390,f362,f385])).
% 0.20/0.51 thf(f346,plain,(
% 0.20/0.51 ((sK0 @ sK19 @ sK22) = $true) | ((sK1 @ sK10) = $false) | ((sK0 @ sK20 @ sK9) = $true) | ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f344])).
% 0.20/0.51 thf(f344,plain,(
% 0.20/0.51 (((sK0 @ sK19 @ sK22) => (sK1 @ sK22)) = $false) | ((sK1 @ sK10) = $false) | ((sK0 @ sK20 @ sK9) = $true) | ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f342])).
% 0.20/0.51 thf(f342,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK10) = $false) | (((sK0 @ sK20 @ sK9) & (sK0 @ sK21 @ sK20)) = $true) | (((sK0 @ sK19 @ sK22) => (sK1 @ sK22)) = $false)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f341])).
% 0.20/0.51 thf(f341,plain,(
% 0.20/0.51 (((^[Y0 : $i]: ((sK0 @ sK19 @ Y0) => (sK1 @ Y0))) @ sK22) = $false) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false) | (((sK0 @ sK20 @ sK9) & (sK0 @ sK21 @ sK20)) = $true)),
% 0.20/0.51 inference(sigma_clausification,[],[f340])).
% 0.20/0.51 thf(f340,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK10) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK19 @ Y0) => (sK1 @ Y0)))) = $false) | (((sK0 @ sK20 @ sK9) & (sK0 @ sK21 @ sK20)) = $true)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f333])).
% 0.20/0.51 thf(f333,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((((sK0 @ sK20 @ sK9) & (sK0 @ sK21 @ sK20)) => (sK0 @ sK21 @ sK9)) = $false) | ((sK1 @ sK10) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK19 @ Y0) => (sK1 @ Y0)))) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f332])).
% 0.20/0.51 thf(f393,plain,(
% 0.20/0.51 spl2_9 | spl2_6 | spl2_3 | spl2_1),
% 0.20/0.51 inference(avatar_split_clause,[],[f345,f354,f362,f376,f390])).
% 0.20/0.51 thf(f345,plain,(
% 0.20/0.51 ((sK0 @ sK20 @ sK9) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK22) = $false) | ((sK1 @ sK10) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f344])).
% 0.20/0.51 thf(f388,plain,(
% 0.20/0.51 spl2_3 | spl2_8 | spl2_7 | spl2_1),
% 0.20/0.51 inference(avatar_split_clause,[],[f348,f354,f380,f385,f362])).
% 0.20/0.51 thf(f348,plain,(
% 0.20/0.51 ((sK0 @ sK19 @ sK22) = $true) | ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK10) = $false) | ((sK0 @ sK21 @ sK20) = $true)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f343])).
% 0.20/0.51 thf(f343,plain,(
% 0.20/0.51 ((sK1 @ sK10) = $false) | ((sK0 @ sK21 @ sK20) = $true) | (((sK0 @ sK19 @ sK22) => (sK1 @ sK22)) = $false) | ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f342])).
% 0.20/0.51 thf(f383,plain,(
% 0.20/0.51 spl2_3 | spl2_6 | spl2_7 | spl2_1),
% 0.20/0.51 inference(avatar_split_clause,[],[f347,f354,f380,f376,f362])).
% 0.20/0.51 thf(f347,plain,(
% 0.20/0.51 ((sK0 @ sK21 @ sK20) = $true) | ((sK1 @ sK22) = $false) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f343])).
% 0.20/0.51 thf(f374,plain,(
% 0.20/0.51 spl2_1 | spl2_5 | spl2_3 | spl2_4),
% 0.20/0.51 inference(avatar_split_clause,[],[f352,f366,f362,f371,f354])).
% 0.20/0.51 thf(f352,plain,(
% 0.20/0.51 ((sK0 @ sK21 @ sK9) = $false) | ($true = (sK0 @ sK19 @ sK23)) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f350])).
% 0.20/0.51 thf(f350,plain,(
% 0.20/0.51 ((sK1 @ sK10) = $false) | ((sK0 @ sK21 @ sK9) = $false) | ((sK0 @ sK8 @ sK8) = $false) | (((sK0 @ sK19 @ sK23) => (sK1 @ sK23)) = $false)),
% 0.20/0.51 inference(beta_eta_normalization,[],[f349])).
% 0.20/0.51 thf(f349,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK10) = $false) | (((^[Y0 : $i]: ((sK0 @ sK19 @ Y0) => (sK1 @ Y0))) @ sK23) = $false) | ((sK0 @ sK21 @ sK9) = $false)),
% 0.20/0.51 inference(sigma_clausification,[],[f339])).
% 0.20/0.51 thf(f339,plain,(
% 0.20/0.51 ((sK0 @ sK21 @ sK9) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK19 @ Y0) => (sK1 @ Y0)))) = $false) | ((sK1 @ sK10) = $false) | ((sK0 @ sK8 @ sK8) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f333])).
% 0.20/0.51 thf(f369,plain,(
% 0.20/0.51 spl2_1 | spl2_2 | spl2_3 | spl2_4),
% 0.20/0.51 inference(avatar_split_clause,[],[f351,f366,f362,f358,f354])).
% 0.20/0.51 thf(f351,plain,(
% 0.20/0.51 ((sK0 @ sK8 @ sK8) = $false) | ((sK1 @ sK10) = $false) | ((sK1 @ sK23) = $false) | ((sK0 @ sK21 @ sK9) = $false)),
% 0.20/0.51 inference(binary_proxy_clausification,[],[f350])).
% 0.20/0.51 % SZS output end Proof for theBenchmark
% 0.20/0.51 % (23200)------------------------------
% 0.20/0.51 % (23200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (23200)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (23200)Memory used [KB]: 6396
% 0.20/0.51 % (23200)Time elapsed: 0.063 s
% 0.20/0.51 % (23200)Instructions burned: 150 (million)
% 0.20/0.51 % (23200)------------------------------
% 0.20/0.51 % (23200)------------------------------
% 0.20/0.51 % (23173)Success in time 0.156 s
% 0.20/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------