TSTP Solution File: SYO463^6 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO463^6 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:04:56 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SYO463^6 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.13 % 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
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 20 09:43:53 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 This is a TH0_THM_EQU_NAR problem
% 0.13/0.34 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % (13135)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.35 % (13130)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.35 % (13133)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.35 % (13136)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.35 % (13133)Instruction limit reached!
% 0.13/0.35 % (13133)------------------------------
% 0.13/0.35 % (13133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35 % (13133)Termination reason: Unknown
% 0.13/0.35 % (13133)Termination phase: shuffling
% 0.13/0.35
% 0.13/0.35 % (13133)Memory used [KB]: 1023
% 0.13/0.35 % (13133)Time elapsed: 0.003 s
% 0.13/0.35 % (13133)Instructions burned: 4 (million)
% 0.13/0.35 % (13133)------------------------------
% 0.13/0.35 % (13133)------------------------------
% 0.13/0.35 % (13130)Instruction limit reached!
% 0.13/0.35 % (13130)------------------------------
% 0.13/0.35 % (13130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35 % (13130)Termination reason: Unknown
% 0.13/0.35 % (13130)Termination phase: Property scanning
% 0.13/0.35
% 0.13/0.35 % (13130)Memory used [KB]: 1023
% 0.13/0.35 % (13130)Time elapsed: 0.004 s
% 0.13/0.35 % (13130)Instructions burned: 6 (million)
% 0.13/0.35 % (13130)------------------------------
% 0.13/0.35 % (13130)------------------------------
% 0.13/0.35 % (13136)Instruction limit reached!
% 0.13/0.35 % (13136)------------------------------
% 0.13/0.35 % (13136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35 % (13136)Termination reason: Unknown
% 0.13/0.35 % (13136)Termination phase: Property scanning
% 0.13/0.35
% 0.13/0.35 % (13136)Memory used [KB]: 1023
% 0.13/0.35 % (13136)Time elapsed: 0.003 s
% 0.13/0.35 % (13136)Instructions burned: 5 (million)
% 0.13/0.35 % (13136)------------------------------
% 0.13/0.35 % (13136)------------------------------
% 0.13/0.35 % (13129)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.35 % (13132)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.35 % (13131)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.13/0.36 % (13134)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.36 % (13132)Instruction limit reached!
% 0.13/0.36 % (13132)------------------------------
% 0.13/0.36 % (13132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (13132)Termination reason: Unknown
% 0.13/0.36 % (13132)Termination phase: shuffling
% 0.13/0.36
% 0.13/0.36 % (13132)Memory used [KB]: 1023
% 0.13/0.36 % (13132)Time elapsed: 0.003 s
% 0.13/0.36 % (13132)Instructions burned: 2 (million)
% 0.13/0.36 % (13132)------------------------------
% 0.13/0.36 % (13132)------------------------------
% 0.13/0.36 % (13135)Instruction limit reached!
% 0.13/0.36 % (13135)------------------------------
% 0.13/0.36 % (13135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (13135)Termination reason: Unknown
% 0.13/0.36 % (13135)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (13135)Memory used [KB]: 5756
% 0.13/0.36 % (13135)Time elapsed: 0.007 s
% 0.13/0.36 % (13135)Instructions burned: 18 (million)
% 0.13/0.36 % (13135)------------------------------
% 0.13/0.36 % (13135)------------------------------
% 0.13/0.36 % (13134)Refutation not found, incomplete strategy
% 0.13/0.36 % (13134)------------------------------
% 0.13/0.36 % (13134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (13134)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % (13134)Memory used [KB]: 5628
% 0.13/0.36 % (13134)Time elapsed: 0.007 s
% 0.13/0.36 % (13134)Instructions burned: 8 (million)
% 0.13/0.36 % (13134)------------------------------
% 0.13/0.36 % (13134)------------------------------
% 0.13/0.36 % (13137)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)
% 0.13/0.36 % (13138)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)
% 0.13/0.36 % (13139)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)
% 0.13/0.36 % (13139)Instruction limit reached!
% 0.13/0.36 % (13139)------------------------------
% 0.13/0.36 % (13139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (13139)Termination reason: Unknown
% 0.13/0.36 % (13139)Termination phase: shuffling
% 0.13/0.36
% 0.13/0.36 % (13139)Memory used [KB]: 1023
% 0.13/0.36 % (13139)Time elapsed: 0.003 s
% 0.13/0.36 % (13139)Instructions burned: 3 (million)
% 0.13/0.36 % (13139)------------------------------
% 0.13/0.36 % (13139)------------------------------
% 0.13/0.37 % (13141)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.37 % (13141)Instruction limit reached!
% 0.13/0.37 % (13141)------------------------------
% 0.13/0.37 % (13141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (13141)Termination reason: Unknown
% 0.13/0.37 % (13141)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (13141)Memory used [KB]: 1023
% 0.13/0.37 % (13141)Time elapsed: 0.004 s
% 0.13/0.37 % (13141)Instructions burned: 8 (million)
% 0.13/0.37 % (13141)------------------------------
% 0.13/0.37 % (13141)------------------------------
% 0.13/0.37 % (13138)Instruction limit reached!
% 0.13/0.37 % (13138)------------------------------
% 0.13/0.37 % (13138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (13138)Termination reason: Unknown
% 0.13/0.37 % (13138)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (13138)Memory used [KB]: 5628
% 0.13/0.37 % (13138)Time elapsed: 0.007 s
% 0.13/0.37 % (13138)Instructions burned: 16 (million)
% 0.13/0.37 % (13138)------------------------------
% 0.13/0.37 % (13138)------------------------------
% 0.13/0.37 % (13140)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)
% 0.13/0.37 % (13131)Instruction limit reached!
% 0.13/0.37 % (13131)------------------------------
% 0.13/0.37 % (13131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (13131)Termination reason: Unknown
% 0.13/0.37 % (13131)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (13131)Memory used [KB]: 5756
% 0.13/0.37 % (13131)Time elapsed: 0.018 s
% 0.13/0.37 % (13131)Instructions burned: 27 (million)
% 0.13/0.37 % (13131)------------------------------
% 0.13/0.37 % (13131)------------------------------
% 0.13/0.37 % (13143)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)
% 0.13/0.38 % (13142)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.38 % (13143)Instruction limit reached!
% 0.13/0.38 % (13143)------------------------------
% 0.13/0.38 % (13143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (13143)Termination reason: Unknown
% 0.13/0.38 % (13143)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (13143)Memory used [KB]: 1023
% 0.13/0.38 % (13143)Time elapsed: 0.003 s
% 0.13/0.38 % (13143)Instructions burned: 3 (million)
% 0.13/0.38 % (13143)------------------------------
% 0.13/0.38 % (13143)------------------------------
% 0.13/0.38 % (13137)Instruction limit reached!
% 0.13/0.38 % (13137)------------------------------
% 0.13/0.38 % (13137)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (13137)Termination reason: Unknown
% 0.13/0.38 % (13137)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (13137)Memory used [KB]: 5756
% 0.13/0.38 % (13137)Time elapsed: 0.016 s
% 0.13/0.38 % (13137)Instructions burned: 39 (million)
% 0.13/0.38 % (13137)------------------------------
% 0.13/0.38 % (13137)------------------------------
% 0.13/0.38 % (13144)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)
% 0.13/0.38 % (13144)Instruction limit reached!
% 0.13/0.38 % (13144)------------------------------
% 0.13/0.38 % (13144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (13144)Termination reason: Unknown
% 0.13/0.38 % (13144)Termination phase: Property scanning
% 0.13/0.38
% 0.13/0.38 % (13144)Memory used [KB]: 1023
% 0.13/0.38 % (13144)Time elapsed: 0.003 s
% 0.13/0.38 % (13144)Instructions burned: 5 (million)
% 0.13/0.38 % (13145)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)
% 0.13/0.38 % (13144)------------------------------
% 0.13/0.38 % (13144)------------------------------
% 0.13/0.38 % (13145)Instruction limit reached!
% 0.13/0.38 % (13145)------------------------------
% 0.13/0.38 % (13145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (13145)Termination reason: Unknown
% 0.13/0.38 % (13145)Termination phase: Function definition elimination
% 0.13/0.38
% 0.13/0.38 % (13145)Memory used [KB]: 1023
% 0.13/0.38 % (13145)Time elapsed: 0.004 s
% 0.13/0.38 % (13145)Instructions burned: 8 (million)
% 0.13/0.38 % (13145)------------------------------
% 0.13/0.38 % (13145)------------------------------
% 0.13/0.39 % (13146)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)
% 0.13/0.39 % (13142)Instruction limit reached!
% 0.13/0.39 % (13142)------------------------------
% 0.13/0.39 % (13142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (13142)Termination reason: Unknown
% 0.13/0.39 % (13142)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (13142)Memory used [KB]: 5884
% 0.13/0.39 % (13142)Time elapsed: 0.012 s
% 0.13/0.39 % (13142)Instructions burned: 17 (million)
% 0.13/0.39 % (13142)------------------------------
% 0.13/0.39 % (13142)------------------------------
% 0.13/0.39 % (13148)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)
% 0.13/0.39 % (13147)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.39 % (13149)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.13/0.39 % (13146)Instruction limit reached!
% 0.13/0.39 % (13146)------------------------------
% 0.13/0.39 % (13146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (13146)Termination reason: Unknown
% 0.13/0.39 % (13146)Termination phase: Property scanning
% 0.13/0.39
% 0.13/0.39 % (13146)Memory used [KB]: 1023
% 0.13/0.39 % (13146)Time elapsed: 0.004 s
% 0.13/0.39 % (13146)Instructions burned: 4 (million)
% 0.13/0.39 % (13146)------------------------------
% 0.13/0.39 % (13146)------------------------------
% 0.13/0.39 % (13147)Instruction limit reached!
% 0.13/0.39 % (13147)------------------------------
% 0.13/0.39 % (13147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (13147)Termination reason: Unknown
% 0.13/0.39 % (13147)Termination phase: Property scanning
% 0.13/0.39
% 0.13/0.39 % (13129)First to succeed.
% 0.13/0.39 % (13147)Memory used [KB]: 1023
% 0.13/0.39 % (13147)Time elapsed: 0.004 s
% 0.13/0.39 % (13147)Instructions burned: 6 (million)
% 0.13/0.39 % (13147)------------------------------
% 0.13/0.39 % (13147)------------------------------
% 0.13/0.39 % (13149)Refutation not found, incomplete strategy
% 0.13/0.39 % (13149)------------------------------
% 0.13/0.39 % (13149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (13149)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (13150)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.13/0.39 % (13149)Memory used [KB]: 5628
% 0.13/0.39 % (13149)Time elapsed: 0.005 s
% 0.13/0.39 % (13149)Instructions burned: 10 (million)
% 0.13/0.39 % (13149)------------------------------
% 0.13/0.39 % (13149)------------------------------
% 0.13/0.39 % (13150)Instruction limit reached!
% 0.13/0.39 % (13150)------------------------------
% 0.13/0.39 % (13150)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (13150)Termination reason: Unknown
% 0.13/0.39 % (13150)Termination phase: Function definition elimination
% 0.13/0.39
% 0.13/0.39 % (13150)Memory used [KB]: 1023
% 0.13/0.39 % (13150)Time elapsed: 0.004 s
% 0.13/0.39 % (13150)Instructions burned: 8 (million)
% 0.13/0.39 % (13150)------------------------------
% 0.13/0.39 % (13150)------------------------------
% 0.13/0.39 % (13148)Instruction limit reached!
% 0.13/0.39 % (13148)------------------------------
% 0.13/0.39 % (13148)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (13148)Termination reason: Unknown
% 0.13/0.39 % (13148)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (13148)Memory used [KB]: 5628
% 0.13/0.39 % (13148)Time elapsed: 0.009 s
% 0.13/0.39 % (13148)Instructions burned: 18 (million)
% 0.13/0.39 % (13148)------------------------------
% 0.13/0.39 % (13148)------------------------------
% 0.13/0.40 % (13129)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% 0.13/0.40 thf(type_def_5, type, mu: $tType).
% 0.13/0.40 thf(func_def_0, type, mu: $tType).
% 0.13/0.40 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.13/0.40 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_15, type, mtrue: $i > $o).
% 0.13/0.40 thf(func_def_16, type, mfalse: $i > $o).
% 0.13/0.40 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.13/0.40 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.13/0.40 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.13/0.40 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.13/0.40 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.13/0.40 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.13/0.40 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.13/0.40 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.13/0.40 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.13/0.40 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.13/0.40 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.13/0.40 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.13/0.40 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.13/0.40 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.13/0.40 thf(func_def_33, type, rel_s5: $i > $i > $o).
% 0.13/0.40 thf(func_def_34, type, mbox_s5: ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_35, type, mdia_s5: ($i > $o) > $i > $o).
% 0.13/0.40 thf(func_def_36, type, p: $i > $o).
% 0.13/0.40 thf(func_def_37, type, q: $i > $o).
% 0.13/0.40 thf(f848,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(avatar_sat_refutation,[],[f262,f291,f296,f301,f302,f336,f720,f730,f736,f770,f817,f833,f839,f841])).
% 0.13/0.40 thf(f841,plain,(
% 0.13/0.40 spl0_21 | ~spl0_1 | ~spl0_9),
% 0.13/0.40 inference(avatar_split_clause,[],[f803,f293,f257,f710])).
% 0.13/0.40 thf(f710,plain,(
% 0.13/0.40 spl0_21 <=> ((q @ sK3) = $true)),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
% 0.13/0.40 thf(f257,plain,(
% 0.13/0.40 spl0_1 <=> ! [X1] : (((rel_s5 @ sK2 @ X1) = $false) | ($true = (q @ X1)))),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.13/0.40 thf(f293,plain,(
% 0.13/0.40 spl0_9 <=> ($true = (rel_s5 @ sK2 @ sK3))),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.13/0.40 thf(f803,plain,(
% 0.13/0.40 ((q @ sK3) = $true) | (~spl0_1 | ~spl0_9)),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f783])).
% 0.13/0.40 thf(f783,plain,(
% 0.13/0.40 ($true = $false) | ((q @ sK3) = $true) | (~spl0_1 | ~spl0_9)),
% 0.13/0.40 inference(superposition,[],[f258,f295])).
% 0.13/0.40 thf(f295,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK2 @ sK3)) | ~spl0_9),
% 0.13/0.40 inference(avatar_component_clause,[],[f293])).
% 0.13/0.40 thf(f258,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (((rel_s5 @ sK2 @ X1) = $false) | ($true = (q @ X1))) ) | ~spl0_1),
% 0.13/0.40 inference(avatar_component_clause,[],[f257])).
% 0.13/0.40 thf(f839,plain,(
% 0.13/0.40 ~spl0_8 | ~spl0_24),
% 0.13/0.40 inference(avatar_contradiction_clause,[],[f838])).
% 0.13/0.40 thf(f838,plain,(
% 0.13/0.40 $false | (~spl0_8 | ~spl0_24)),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f834])).
% 0.13/0.40 thf(f834,plain,(
% 0.13/0.40 ($true = $false) | (~spl0_8 | ~spl0_24)),
% 0.13/0.40 inference(superposition,[],[f750,f290])).
% 0.13/0.40 thf(f290,plain,(
% 0.13/0.40 ((p @ sK3) = $false) | ~spl0_8),
% 0.13/0.40 inference(avatar_component_clause,[],[f288])).
% 0.13/0.40 thf(f288,plain,(
% 0.13/0.40 spl0_8 <=> ((p @ sK3) = $false)),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.13/0.40 thf(f750,plain,(
% 0.13/0.40 ((p @ sK3) = $true) | ~spl0_24),
% 0.13/0.40 inference(avatar_component_clause,[],[f748])).
% 0.13/0.40 thf(f748,plain,(
% 0.13/0.40 spl0_24 <=> ((p @ sK3) = $true)),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 0.13/0.40 thf(f833,plain,(
% 0.13/0.40 ~spl0_21 | ~spl0_25),
% 0.13/0.40 inference(avatar_contradiction_clause,[],[f832])).
% 0.13/0.40 thf(f832,plain,(
% 0.13/0.40 $false | (~spl0_21 | ~spl0_25)),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f829])).
% 0.13/0.40 thf(f829,plain,(
% 0.13/0.40 ($true = $false) | (~spl0_21 | ~spl0_25)),
% 0.13/0.40 inference(superposition,[],[f712,f754])).
% 0.13/0.40 thf(f754,plain,(
% 0.13/0.40 ((q @ sK3) = $false) | ~spl0_25),
% 0.13/0.40 inference(avatar_component_clause,[],[f752])).
% 0.13/0.40 thf(f752,plain,(
% 0.13/0.40 spl0_25 <=> ((q @ sK3) = $false)),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
% 0.13/0.40 thf(f712,plain,(
% 0.13/0.40 ((q @ sK3) = $true) | ~spl0_21),
% 0.13/0.40 inference(avatar_component_clause,[],[f710])).
% 0.13/0.40 thf(f817,plain,(
% 0.13/0.40 ~spl0_1 | ~spl0_10 | spl0_19),
% 0.13/0.40 inference(avatar_contradiction_clause,[],[f816])).
% 0.13/0.40 thf(f816,plain,(
% 0.13/0.40 $false | (~spl0_1 | ~spl0_10 | spl0_19)),
% 0.13/0.40 inference(subsumption_resolution,[],[f799,f700])).
% 0.13/0.40 thf(f700,plain,(
% 0.13/0.40 ((q @ sK4) != $true) | spl0_19),
% 0.13/0.40 inference(avatar_component_clause,[],[f699])).
% 0.13/0.40 thf(f699,plain,(
% 0.13/0.40 spl0_19 <=> ((q @ sK4) = $true)),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])).
% 0.13/0.40 thf(f799,plain,(
% 0.13/0.40 ((q @ sK4) = $true) | (~spl0_1 | ~spl0_10)),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f794])).
% 0.13/0.40 thf(f794,plain,(
% 0.13/0.40 ($true = $false) | ((q @ sK4) = $true) | (~spl0_1 | ~spl0_10)),
% 0.13/0.40 inference(superposition,[],[f300,f258])).
% 0.13/0.40 thf(f300,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK2 @ sK4)) | ~spl0_10),
% 0.13/0.40 inference(avatar_component_clause,[],[f298])).
% 0.13/0.40 thf(f298,plain,(
% 0.13/0.40 spl0_10 <=> ($true = (rel_s5 @ sK2 @ sK4))),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.13/0.40 thf(f770,plain,(
% 0.13/0.40 spl0_25 | spl0_24 | ~spl0_9),
% 0.13/0.40 inference(avatar_split_clause,[],[f515,f293,f748,f752])).
% 0.13/0.40 thf(f515,plain,(
% 0.13/0.40 ((q @ sK3) = $false) | ((p @ sK3) = $true) | ~spl0_9),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f508])).
% 0.13/0.40 thf(f508,plain,(
% 0.13/0.40 ((q @ sK3) = $false) | ($true = $false) | ((p @ sK3) = $true) | ~spl0_9),
% 0.13/0.40 inference(superposition,[],[f252,f467])).
% 0.13/0.40 thf(f467,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK1 @ sK3)) | ~spl0_9),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f463])).
% 0.13/0.40 thf(f463,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK1 @ sK3)) | ($true = $false) | ~spl0_9),
% 0.13/0.40 inference(superposition,[],[f448,f176])).
% 0.13/0.40 thf(f176,plain,(
% 0.13/0.40 ( ! [X2 : $i,X1 : $i] : (((rel_s5 @ X2 @ X1) = $false) | ((rel_s5 @ X1 @ X2) = $true)) )),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f175])).
% 0.13/0.40 thf(f175,plain,(
% 0.13/0.40 ( ! [X2 : $i,X1 : $i] : ((((rel_s5 @ X2 @ X1) => (rel_s5 @ X1 @ X2)) = $true)) )),
% 0.13/0.40 inference(beta_eta_normalization,[],[f174])).
% 0.13/0.40 thf(f174,plain,(
% 0.13/0.40 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((rel_s5 @ Y0 @ X1) => (rel_s5 @ X1 @ Y0))) @ X2) = $true)) )),
% 0.13/0.40 inference(pi_clausification,[],[f173])).
% 0.13/0.40 thf(f173,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((rel_s5 @ Y0 @ X1) => (rel_s5 @ X1 @ Y0)))))) )),
% 0.13/0.40 inference(beta_eta_normalization,[],[f172])).
% 0.13/0.40 thf(f172,plain,(
% 0.13/0.40 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel_s5 @ Y1 @ Y0) => (rel_s5 @ Y0 @ Y1))))) @ X1) = $true)) )),
% 0.13/0.40 inference(pi_clausification,[],[f171])).
% 0.13/0.40 thf(f171,plain,(
% 0.13/0.40 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel_s5 @ Y1 @ Y0) => (rel_s5 @ Y0 @ Y1)))))))),
% 0.13/0.40 inference(beta_eta_normalization,[],[f160])).
% 0.13/0.40 thf(f160,plain,(
% 0.13/0.40 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ rel_s5) = $true)),
% 0.13/0.40 inference(definition_unfolding,[],[f135,f122])).
% 0.13/0.40 thf(f122,plain,(
% 0.13/0.40 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.13/0.40 inference(cnf_transformation,[],[f82])).
% 0.13/0.40 thf(f82,plain,(
% 0.13/0.40 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.13/0.40 inference(fool_elimination,[],[f81])).
% 0.13/0.40 thf(f81,plain,(
% 0.13/0.40 ((^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))) = msymmetric)),
% 0.13/0.40 inference(rectify,[],[f19])).
% 0.13/0.40 thf(f19,axiom,(
% 0.13/0.40 ((^[X6 : $i > $i > $o] : (! [X8,X9] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))) = msymmetric)),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)).
% 0.13/0.40 thf(f135,plain,(
% 0.13/0.40 ((msymmetric @ rel_s5) = $true)),
% 0.13/0.40 inference(cnf_transformation,[],[f41])).
% 0.13/0.40 thf(f41,plain,(
% 0.13/0.40 ((msymmetric @ rel_s5) = $true)),
% 0.13/0.40 inference(fool_elimination,[],[f40])).
% 0.13/0.40 thf(f40,plain,(
% 0.13/0.40 (msymmetric @ rel_s5)),
% 0.13/0.40 inference(rectify,[],[f36])).
% 0.13/0.40 thf(f36,axiom,(
% 0.13/0.40 (msymmetric @ rel_s5)),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3)).
% 0.13/0.40 thf(f448,plain,(
% 0.13/0.40 ((rel_s5 @ sK3 @ sK1) = $true) | ~spl0_9),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f429])).
% 0.13/0.40 thf(f429,plain,(
% 0.13/0.40 ($true = $false) | ((rel_s5 @ sK3 @ sK1) = $true) | ~spl0_9),
% 0.13/0.40 inference(superposition,[],[f387,f328])).
% 0.13/0.40 thf(f328,plain,(
% 0.13/0.40 ((rel_s5 @ sK3 @ sK2) = $true) | ~spl0_9),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f317])).
% 0.13/0.40 thf(f317,plain,(
% 0.13/0.40 ((rel_s5 @ sK3 @ sK2) = $true) | ($true = $false) | ~spl0_9),
% 0.13/0.40 inference(superposition,[],[f176,f295])).
% 0.13/0.40 thf(f387,plain,(
% 0.13/0.40 ( ! [X0 : $i] : (((rel_s5 @ X0 @ sK2) = $false) | ((rel_s5 @ X0 @ sK1) = $true)) )),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f366])).
% 0.13/0.40 thf(f366,plain,(
% 0.13/0.40 ( ! [X0 : $i] : (((rel_s5 @ X0 @ sK2) = $false) | ($true = $false) | ((rel_s5 @ X0 @ sK1) = $true)) )),
% 0.13/0.40 inference(superposition,[],[f327,f170])).
% 0.13/0.40 thf(f170,plain,(
% 0.13/0.40 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((rel_s5 @ X3 @ X1) = $false) | ((rel_s5 @ X2 @ X1) = $true) | ((rel_s5 @ X2 @ X3) = $false)) )),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f169])).
% 0.13/0.40 thf(f169,plain,(
% 0.13/0.40 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((rel_s5 @ X2 @ X1) = $true) | (((rel_s5 @ X3 @ X1) & (rel_s5 @ X2 @ X3)) = $false)) )),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f168])).
% 0.13/0.40 thf(f168,plain,(
% 0.13/0.40 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((rel_s5 @ X3 @ X1) & (rel_s5 @ X2 @ X3)) => (rel_s5 @ X2 @ X1)) = $true)) )),
% 0.13/0.40 inference(beta_eta_normalization,[],[f167])).
% 0.13/0.40 thf(f167,plain,(
% 0.13/0.40 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((rel_s5 @ Y0 @ X1) & (rel_s5 @ X2 @ Y0)) => (rel_s5 @ X2 @ X1))) @ X3) = $true)) )),
% 0.13/0.40 inference(pi_clausification,[],[f166])).
% 0.13/0.40 thf(f166,plain,(
% 0.13/0.40 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((rel_s5 @ Y0 @ X1) & (rel_s5 @ X2 @ Y0)) => (rel_s5 @ X2 @ X1)))))) )),
% 0.13/0.40 inference(beta_eta_normalization,[],[f165])).
% 0.13/0.40 thf(f165,plain,(
% 0.13/0.40 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s5 @ Y1 @ X1) & (rel_s5 @ Y0 @ Y1)) => (rel_s5 @ Y0 @ X1))))) @ X2) = $true)) )),
% 0.13/0.40 inference(pi_clausification,[],[f164])).
% 0.13/0.40 thf(f164,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s5 @ Y1 @ X1) & (rel_s5 @ Y0 @ Y1)) => (rel_s5 @ Y0 @ X1)))))) = $true)) )),
% 0.13/0.40 inference(beta_eta_normalization,[],[f163])).
% 0.13/0.40 thf(f163,plain,(
% 0.13/0.40 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s5 @ Y2 @ Y0) & (rel_s5 @ Y1 @ Y2)) => (rel_s5 @ Y1 @ Y0))))))) @ X1) = $true)) )),
% 0.13/0.40 inference(pi_clausification,[],[f162])).
% 0.13/0.40 thf(f162,plain,(
% 0.13/0.40 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s5 @ Y2 @ Y0) & (rel_s5 @ Y1 @ Y2)) => (rel_s5 @ Y1 @ Y0)))))))) = $true)),
% 0.13/0.40 inference(beta_eta_normalization,[],[f158])).
% 0.13/0.40 thf(f158,plain,(
% 0.13/0.40 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1))))))))) @ rel_s5))),
% 0.13/0.40 inference(definition_unfolding,[],[f116,f114])).
% 0.13/0.40 thf(f114,plain,(
% 0.13/0.40 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1))))))))))),
% 0.13/0.40 inference(cnf_transformation,[],[f73])).
% 0.13/0.40 thf(f73,plain,(
% 0.13/0.40 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1))))))))))),
% 0.13/0.40 inference(fool_elimination,[],[f72])).
% 0.13/0.40 thf(f72,plain,(
% 0.13/0.40 (mtransitive = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X1) & (X0 @ X1 @ X3)) => (X0 @ X2 @ X3)))))),
% 0.13/0.40 inference(rectify,[],[f21])).
% 0.13/0.40 thf(f21,axiom,(
% 0.13/0.40 (mtransitive = (^[X6 : $i > $i > $o] : (! [X9,X8,X10] : (((X6 @ X8 @ X9) & (X6 @ X9 @ X10)) => (X6 @ X8 @ X10)))))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive)).
% 0.13/0.40 thf(f116,plain,(
% 0.13/0.40 ((mtransitive @ rel_s5) = $true)),
% 0.13/0.40 inference(cnf_transformation,[],[f49])).
% 0.13/0.40 thf(f49,plain,(
% 0.13/0.40 ((mtransitive @ rel_s5) = $true)),
% 0.13/0.40 inference(fool_elimination,[],[f48])).
% 0.13/0.40 thf(f48,plain,(
% 0.13/0.40 (mtransitive @ rel_s5)),
% 0.13/0.40 inference(rectify,[],[f35])).
% 0.13/0.40 thf(f35,axiom,(
% 0.13/0.40 (mtransitive @ rel_s5)),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2)).
% 0.13/0.40 thf(f327,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK2 @ sK1))),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f320])).
% 0.13/0.40 thf(f320,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK2 @ sK1)) | ($true = $false)),
% 0.13/0.40 inference(superposition,[],[f189,f176])).
% 0.13/0.40 thf(f189,plain,(
% 0.13/0.40 ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.13/0.40 inference(not_proxy_clausification,[],[f188])).
% 0.13/0.40 thf(f188,plain,(
% 0.13/0.40 ((~ (rel_s5 @ sK1 @ sK2)) = $false)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f186])).
% 0.13/0.40 thf(f186,plain,(
% 0.13/0.40 (((~ (rel_s5 @ sK1 @ sK2)) | (~ ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))))))) | (~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))))))))) = $false)),
% 0.13/0.40 inference(beta_eta_normalization,[],[f185])).
% 0.13/0.40 thf(f185,plain,(
% 0.13/0.40 (((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1))))))) | (~ ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1))))))))))) @ sK2) = $false)),
% 0.13/0.40 inference(sigma_clausification,[],[f184])).
% 0.13/0.40 thf(f184,plain,(
% 0.13/0.40 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1))))))) | (~ ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))))))))))) = $false)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f182])).
% 0.13/0.40 thf(f182,plain,(
% 0.13/0.40 (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1))))))) | (~ ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (q @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (p @ Y1)))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ ((p @ Y0) | (~ (q @ Y0)))) | (~ ((q @ Y0) | (~ (p @ Y0))))))))))) = $false)),
% 0.13/0.40 inference(beta_eta_normalization,[],[f181])).
% 0.13/0.40 thf(f181,plain,(
% 0.13/0.40 (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ ((~ ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (p @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (q @ Y2))))))) | (~ ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (q @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (p @ Y2)))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ ((~ ((p @ Y1) | (~ (q @ Y1)))) | (~ ((q @ Y1) | (~ (p @ Y1)))))))))))) @ sK1) = $false)),
% 0.13/0.40 inference(sigma_clausification,[],[f180])).
% 0.13/0.40 thf(f180,plain,(
% 0.13/0.40 ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ ((~ ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (p @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (q @ Y2))))))) | (~ ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (q @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (p @ Y2)))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ ((~ ((p @ Y1) | (~ (q @ Y1)))) | (~ ((q @ Y1) | (~ (p @ Y1))))))))))))) != $true)),
% 0.13/0.40 inference(beta_eta_normalization,[],[f159])).
% 0.13/0.40 thf(f159,plain,(
% 0.13/0.40 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y1 @ Y0))))) @ p @ q)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y1 @ Y0))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ p) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ q))))))),
% 0.13/0.40 inference(definition_unfolding,[],[f117,f119,f149,f124,f151,f124,f151,f124,f124])).
% 0.13/0.40 thf(f151,plain,(
% 0.13/0.40 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y1 @ Y0))))))),
% 0.13/0.40 inference(definition_unfolding,[],[f112,f148,f149,f149])).
% 0.13/0.40 thf(f148,plain,(
% 0.13/0.40 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.13/0.40 inference(definition_unfolding,[],[f147,f146,f120,f146,f146])).
% 0.13/0.40 thf(f120,plain,(
% 0.13/0.40 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.13/0.40 inference(cnf_transformation,[],[f61])).
% 0.13/0.40 thf(f61,plain,(
% 0.13/0.40 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.13/0.40 inference(fool_elimination,[],[f60])).
% 0.13/0.40 thf(f60,plain,(
% 0.13/0.40 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.13/0.40 inference(rectify,[],[f4])).
% 0.13/0.40 thf(f4,axiom,(
% 0.13/0.40 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.13/0.40 thf(f146,plain,(
% 0.13/0.40 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.13/0.40 inference(cnf_transformation,[],[f89])).
% 0.13/0.40 thf(f89,plain,(
% 0.13/0.40 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.13/0.40 inference(fool_elimination,[],[f88])).
% 0.13/0.40 thf(f88,plain,(
% 0.13/0.40 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.13/0.40 inference(rectify,[],[f3])).
% 0.13/0.40 thf(f3,axiom,(
% 0.13/0.40 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.13/0.40 thf(f147,plain,(
% 0.13/0.40 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.13/0.40 inference(cnf_transformation,[],[f69])).
% 0.13/0.40 thf(f69,plain,(
% 0.13/0.40 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.13/0.40 inference(fool_elimination,[],[f68])).
% 0.13/0.40 thf(f68,plain,(
% 0.13/0.40 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))),
% 0.13/0.40 inference(rectify,[],[f5])).
% 0.13/0.40 thf(f5,axiom,(
% 0.13/0.40 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 0.13/0.40 thf(f112,plain,(
% 0.13/0.40 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ (mimplies @ Y0 @ Y1) @ (mimplies @ Y1 @ Y0))))))),
% 0.13/0.40 inference(cnf_transformation,[],[f91])).
% 0.13/0.40 thf(f91,plain,(
% 0.13/0.40 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ (mimplies @ Y0 @ Y1) @ (mimplies @ Y1 @ Y0))))))),
% 0.13/0.40 inference(fool_elimination,[],[f90])).
% 0.13/0.40 thf(f90,plain,(
% 0.13/0.40 (mequiv = (^[X0 : $i > $o, X1 : $i > $o] : (mand @ (mimplies @ X0 @ X1) @ (mimplies @ X1 @ X0))))),
% 0.13/0.40 inference(rectify,[],[f8])).
% 0.13/0.40 thf(f8,axiom,(
% 0.13/0.40 (mequiv = (^[X3 : $i > $o, X4 : $i > $o] : (mand @ (mimplies @ X3 @ X4) @ (mimplies @ X4 @ X3))))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv)).
% 0.13/0.40 thf(f124,plain,(
% 0.13/0.40 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.13/0.40 inference(cnf_transformation,[],[f65])).
% 0.13/0.40 thf(f65,plain,(
% 0.13/0.40 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.13/0.40 inference(fool_elimination,[],[f64])).
% 0.13/0.40 thf(f64,plain,(
% 0.13/0.40 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s5 @ X1 @ X2)))) = mbox_s5)),
% 0.13/0.40 inference(rectify,[],[f32])).
% 0.13/0.40 thf(f32,axiom,(
% 0.13/0.40 ((^[X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(rel_s5 @ X2 @ X7)))) = mbox_s5)),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s5)).
% 0.13/0.40 thf(f149,plain,(
% 0.13/0.40 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.13/0.40 inference(definition_unfolding,[],[f140,f120,f146])).
% 0.13/0.40 thf(f140,plain,(
% 0.13/0.40 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.13/0.40 inference(cnf_transformation,[],[f87])).
% 0.13/0.40 thf(f87,plain,(
% 0.13/0.40 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.13/0.40 inference(fool_elimination,[],[f86])).
% 0.13/0.40 thf(f86,plain,(
% 0.13/0.40 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.13/0.40 inference(rectify,[],[f6])).
% 0.13/0.40 thf(f6,axiom,(
% 0.13/0.40 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.13/0.40 thf(f119,plain,(
% 0.13/0.40 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.40 inference(cnf_transformation,[],[f43])).
% 0.13/0.40 thf(f43,plain,(
% 0.13/0.40 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.40 inference(fool_elimination,[],[f42])).
% 0.13/0.40 thf(f42,plain,(
% 0.13/0.40 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.13/0.40 inference(rectify,[],[f28])).
% 0.13/0.40 thf(f28,axiom,(
% 0.13/0.40 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.13/0.40 thf(f117,plain,(
% 0.13/0.40 ((mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mbox_s5 @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q))))) != $true)),
% 0.13/0.40 inference(cnf_transformation,[],[f110])).
% 0.13/0.40 thf(f110,plain,(
% 0.13/0.40 ((mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mbox_s5 @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q))))) != $true)),
% 0.13/0.40 inference(flattening,[],[f85])).
% 0.13/0.40 thf(f85,plain,(
% 0.13/0.40 ~((mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mbox_s5 @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q))))) = $true)),
% 0.13/0.40 inference(fool_elimination,[],[f84])).
% 0.13/0.40 thf(f84,plain,(
% 0.13/0.40 ~(mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mbox_s5 @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q)))))),
% 0.13/0.40 inference(rectify,[],[f38])).
% 0.13/0.40 thf(f38,negated_conjecture,(
% 0.13/0.40 ~(mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mbox_s5 @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q)))))),
% 0.13/0.40 inference(negated_conjecture,[],[f37])).
% 0.13/0.40 thf(f37,conjecture,(
% 0.13/0.40 (mvalid @ (mimplies @ (mbox_s5 @ (mequiv @ p @ q)) @ (mbox_s5 @ (mequiv @ (mbox_s5 @ p) @ (mbox_s5 @ q)))))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
% 0.13/0.40 thf(f252,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ((p @ X1) = $true) | ((q @ X1) = $false)) )),
% 0.13/0.40 inference(not_proxy_clausification,[],[f251])).
% 0.13/0.40 thf(f251,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (((~ (q @ X1)) = $true) | ((p @ X1) = $true) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f250])).
% 0.13/0.40 thf(f250,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ($true = ((p @ X1) | (~ (q @ X1))))) )),
% 0.13/0.40 inference(not_proxy_clausification,[],[f249])).
% 0.13/0.40 thf(f249,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (((~ ((p @ X1) | (~ (q @ X1)))) = $false) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f247])).
% 0.13/0.40 thf(f247,plain,(
% 0.13/0.40 ( ! [X1 : $i] : ((((~ ((p @ X1) | (~ (q @ X1)))) | (~ ((q @ X1) | (~ (p @ X1))))) = $false) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.13/0.40 inference(not_proxy_clausification,[],[f246])).
% 0.13/0.40 thf(f246,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (((~ ((~ ((p @ X1) | (~ (q @ X1)))) | (~ ((q @ X1) | (~ (p @ X1)))))) = $true) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.13/0.40 inference(not_proxy_clausification,[],[f245])).
% 0.13/0.40 thf(f245,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (((~ (rel_s5 @ sK1 @ X1)) = $true) | ((~ ((~ ((p @ X1) | (~ (q @ X1)))) | (~ ((q @ X1) | (~ (p @ X1)))))) = $true)) )),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f244])).
% 0.13/0.40 thf(f244,plain,(
% 0.13/0.40 ( ! [X1 : $i] : ((((~ (rel_s5 @ sK1 @ X1)) | (~ ((~ ((p @ X1) | (~ (q @ X1)))) | (~ ((q @ X1) | (~ (p @ X1))))))) = $true)) )),
% 0.13/0.40 inference(beta_eta_normalization,[],[f243])).
% 0.13/0.40 thf(f243,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ ((p @ Y0) | (~ (q @ Y0)))) | (~ ((q @ Y0) | (~ (p @ Y0)))))))) @ X1))) )),
% 0.13/0.40 inference(pi_clausification,[],[f242])).
% 0.13/0.40 thf(f242,plain,(
% 0.13/0.40 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ ((p @ Y0) | (~ (q @ Y0)))) | (~ ((q @ Y0) | (~ (p @ Y0))))))))) = $true)),
% 0.13/0.40 inference(not_proxy_clausification,[],[f183])).
% 0.13/0.40 thf(f183,plain,(
% 0.13/0.40 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ ((p @ Y0) | (~ (q @ Y0)))) | (~ ((q @ Y0) | (~ (p @ Y0)))))))))) = $false)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f182])).
% 0.13/0.40 thf(f736,plain,(
% 0.13/0.40 ~spl0_7 | ~spl0_19),
% 0.13/0.40 inference(avatar_contradiction_clause,[],[f735])).
% 0.13/0.40 thf(f735,plain,(
% 0.13/0.40 $false | (~spl0_7 | ~spl0_19)),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f732])).
% 0.13/0.40 thf(f732,plain,(
% 0.13/0.40 ($true = $false) | (~spl0_7 | ~spl0_19)),
% 0.13/0.40 inference(superposition,[],[f286,f701])).
% 0.13/0.40 thf(f701,plain,(
% 0.13/0.40 ((q @ sK4) = $true) | ~spl0_19),
% 0.13/0.40 inference(avatar_component_clause,[],[f699])).
% 0.13/0.40 thf(f286,plain,(
% 0.13/0.40 ((q @ sK4) = $false) | ~spl0_7),
% 0.13/0.40 inference(avatar_component_clause,[],[f284])).
% 0.13/0.40 thf(f284,plain,(
% 0.13/0.40 spl0_7 <=> ((q @ sK4) = $false)),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.13/0.40 thf(f730,plain,(
% 0.13/0.40 ~spl0_2 | ~spl0_10 | ~spl0_20),
% 0.13/0.40 inference(avatar_contradiction_clause,[],[f729])).
% 0.13/0.40 thf(f729,plain,(
% 0.13/0.40 $false | (~spl0_2 | ~spl0_10 | ~spl0_20)),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f725])).
% 0.13/0.40 thf(f725,plain,(
% 0.13/0.40 ($true = $false) | (~spl0_2 | ~spl0_10 | ~spl0_20)),
% 0.13/0.40 inference(superposition,[],[f705,f351])).
% 0.13/0.40 thf(f351,plain,(
% 0.13/0.40 ($true = (p @ sK4)) | (~spl0_2 | ~spl0_10)),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f346])).
% 0.13/0.40 thf(f346,plain,(
% 0.13/0.40 ($true = $false) | ($true = (p @ sK4)) | (~spl0_2 | ~spl0_10)),
% 0.13/0.40 inference(superposition,[],[f300,f261])).
% 0.13/0.40 thf(f261,plain,(
% 0.13/0.40 ( ! [X2 : $i] : (((rel_s5 @ sK2 @ X2) = $false) | ((p @ X2) = $true)) ) | ~spl0_2),
% 0.13/0.40 inference(avatar_component_clause,[],[f260])).
% 0.13/0.40 thf(f260,plain,(
% 0.13/0.40 spl0_2 <=> ! [X2] : (((p @ X2) = $true) | ((rel_s5 @ sK2 @ X2) = $false))),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.13/0.40 thf(f705,plain,(
% 0.13/0.40 ($false = (p @ sK4)) | ~spl0_20),
% 0.13/0.40 inference(avatar_component_clause,[],[f703])).
% 0.13/0.40 thf(f703,plain,(
% 0.13/0.40 spl0_20 <=> ($false = (p @ sK4))),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])).
% 0.13/0.40 thf(f720,plain,(
% 0.13/0.40 spl0_19 | spl0_20 | ~spl0_10),
% 0.13/0.40 inference(avatar_split_clause,[],[f643,f298,f703,f699])).
% 0.13/0.40 thf(f643,plain,(
% 0.13/0.40 ((q @ sK4) = $true) | ($false = (p @ sK4)) | ~spl0_10),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f636])).
% 0.13/0.40 thf(f636,plain,(
% 0.13/0.40 ($true = $false) | ($false = (p @ sK4)) | ((q @ sK4) = $true) | ~spl0_10),
% 0.13/0.40 inference(superposition,[],[f477,f255])).
% 0.13/0.40 thf(f255,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ((p @ X1) = $false) | ($true = (q @ X1))) )),
% 0.13/0.40 inference(not_proxy_clausification,[],[f254])).
% 0.13/0.40 thf(f254,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (($true = (q @ X1)) | ((rel_s5 @ sK1 @ X1) = $false) | ((~ (p @ X1)) = $true)) )),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f253])).
% 0.13/0.40 thf(f253,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (($true = ((q @ X1) | (~ (p @ X1)))) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.13/0.40 inference(not_proxy_clausification,[],[f248])).
% 0.13/0.40 thf(f248,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (((~ ((q @ X1) | (~ (p @ X1)))) = $false) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f247])).
% 0.13/0.40 thf(f477,plain,(
% 0.13/0.40 ((rel_s5 @ sK1 @ sK4) = $true) | ~spl0_10),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f473])).
% 0.13/0.40 thf(f473,plain,(
% 0.13/0.40 ($true = $false) | ((rel_s5 @ sK1 @ sK4) = $true) | ~spl0_10),
% 0.13/0.40 inference(superposition,[],[f176,f453])).
% 0.13/0.40 thf(f453,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK4 @ sK1)) | ~spl0_10),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f430])).
% 0.13/0.40 thf(f430,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK4 @ sK1)) | ($true = $false) | ~spl0_10),
% 0.13/0.40 inference(superposition,[],[f387,f353])).
% 0.13/0.40 thf(f353,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK4 @ sK2)) | ~spl0_10),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f347])).
% 0.13/0.40 thf(f347,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK4 @ sK2)) | ($true = $false) | ~spl0_10),
% 0.13/0.40 inference(superposition,[],[f300,f176])).
% 0.13/0.40 thf(f336,plain,(
% 0.13/0.40 ~spl0_2 | ~spl0_8 | ~spl0_9),
% 0.13/0.40 inference(avatar_contradiction_clause,[],[f335])).
% 0.13/0.40 thf(f335,plain,(
% 0.13/0.40 $false | (~spl0_2 | ~spl0_8 | ~spl0_9)),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f331])).
% 0.13/0.40 thf(f331,plain,(
% 0.13/0.40 ($true = $false) | (~spl0_2 | ~spl0_8 | ~spl0_9)),
% 0.13/0.40 inference(superposition,[],[f313,f290])).
% 0.13/0.40 thf(f313,plain,(
% 0.13/0.40 ((p @ sK3) = $true) | (~spl0_2 | ~spl0_9)),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f304])).
% 0.13/0.40 thf(f304,plain,(
% 0.13/0.40 ($true = $false) | ((p @ sK3) = $true) | (~spl0_2 | ~spl0_9)),
% 0.13/0.40 inference(superposition,[],[f261,f295])).
% 0.13/0.40 thf(f302,plain,(
% 0.13/0.40 spl0_9 | spl0_10),
% 0.13/0.40 inference(avatar_split_clause,[],[f207,f298,f293])).
% 0.13/0.40 thf(f207,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK2 @ sK3)) | ($true = (rel_s5 @ sK2 @ sK4))),
% 0.13/0.40 inference(not_proxy_clausification,[],[f206])).
% 0.13/0.40 thf(f206,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK2 @ sK4)) | ((~ (rel_s5 @ sK2 @ sK3)) = $false)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f204])).
% 0.13/0.40 thf(f204,plain,(
% 0.13/0.40 (((~ (rel_s5 @ sK2 @ sK3)) | (p @ sK3)) = $false) | ($true = (rel_s5 @ sK2 @ sK4))),
% 0.13/0.40 inference(not_proxy_clausification,[],[f203])).
% 0.13/0.40 thf(f203,plain,(
% 0.13/0.40 ($false = (~ (rel_s5 @ sK2 @ sK4))) | (((~ (rel_s5 @ sK2 @ sK3)) | (p @ sK3)) = $false)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f201])).
% 0.13/0.40 thf(f201,plain,(
% 0.13/0.40 (((~ (rel_s5 @ sK2 @ sK4)) | (q @ sK4)) = $false) | (((~ (rel_s5 @ sK2 @ sK3)) | (p @ sK3)) = $false)),
% 0.13/0.40 inference(beta_eta_normalization,[],[f200])).
% 0.13/0.40 thf(f200,plain,(
% 0.13/0.40 (((~ (rel_s5 @ sK2 @ sK3)) | (p @ sK3)) = $false) | (((^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))) @ sK4) = $false)),
% 0.13/0.40 inference(sigma_clausification,[],[f199])).
% 0.13/0.40 thf(f199,plain,(
% 0.13/0.40 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))))) | (((~ (rel_s5 @ sK2 @ sK3)) | (p @ sK3)) = $false)),
% 0.13/0.40 inference(beta_eta_normalization,[],[f198])).
% 0.13/0.40 thf(f198,plain,(
% 0.13/0.40 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))))) | (((^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0))) @ sK3) = $false)),
% 0.13/0.40 inference(sigma_clausification,[],[f197])).
% 0.13/0.40 thf(f197,plain,(
% 0.13/0.40 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))))),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f195])).
% 0.13/0.40 thf(f195,plain,(
% 0.13/0.40 (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))))),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f193])).
% 0.13/0.40 thf(f193,plain,(
% 0.13/0.40 (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))))) = $false)),
% 0.13/0.40 inference(not_proxy_clausification,[],[f192])).
% 0.13/0.40 thf(f192,plain,(
% 0.13/0.40 ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))))))) = $true) | (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))))) = $false)),
% 0.13/0.40 inference(not_proxy_clausification,[],[f191])).
% 0.13/0.40 thf(f191,plain,(
% 0.13/0.40 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))))))) | ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))))))) = $true)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f190])).
% 0.13/0.40 thf(f190,plain,(
% 0.13/0.40 (((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))))))) | (~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))))))) = $true)),
% 0.13/0.40 inference(not_proxy_clausification,[],[f187])).
% 0.13/0.40 thf(f187,plain,(
% 0.13/0.40 ((~ ((~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))))))) | (~ ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0))))))))) = $false)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f186])).
% 0.13/0.40 thf(f301,plain,(
% 0.13/0.40 spl0_8 | spl0_10),
% 0.13/0.40 inference(avatar_split_clause,[],[f205,f298,f288])).
% 0.13/0.40 thf(f205,plain,(
% 0.13/0.40 ((p @ sK3) = $false) | ($true = (rel_s5 @ sK2 @ sK4))),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f204])).
% 0.13/0.40 thf(f296,plain,(
% 0.13/0.40 spl0_9 | spl0_7),
% 0.13/0.40 inference(avatar_split_clause,[],[f210,f284,f293])).
% 0.13/0.40 thf(f210,plain,(
% 0.13/0.40 ($true = (rel_s5 @ sK2 @ sK3)) | ((q @ sK4) = $false)),
% 0.13/0.40 inference(not_proxy_clausification,[],[f209])).
% 0.13/0.40 thf(f209,plain,(
% 0.13/0.40 ((q @ sK4) = $false) | ((~ (rel_s5 @ sK2 @ sK3)) = $false)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f202])).
% 0.13/0.40 thf(f202,plain,(
% 0.13/0.40 (((~ (rel_s5 @ sK2 @ sK3)) | (p @ sK3)) = $false) | ((q @ sK4) = $false)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f201])).
% 0.13/0.40 thf(f291,plain,(
% 0.13/0.40 spl0_7 | spl0_8),
% 0.13/0.40 inference(avatar_split_clause,[],[f208,f288,f284])).
% 0.13/0.40 thf(f208,plain,(
% 0.13/0.40 ((p @ sK3) = $false) | ((q @ sK4) = $false)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f202])).
% 0.13/0.40 thf(f262,plain,(
% 0.13/0.40 spl0_1 | spl0_2),
% 0.13/0.40 inference(avatar_split_clause,[],[f241,f260,f257])).
% 0.13/0.40 thf(f241,plain,(
% 0.13/0.40 ( ! [X2 : $i,X1 : $i] : (((p @ X2) = $true) | ((rel_s5 @ sK2 @ X1) = $false) | ((rel_s5 @ sK2 @ X2) = $false) | ($true = (q @ X1))) )),
% 0.13/0.40 inference(not_proxy_clausification,[],[f240])).
% 0.13/0.40 thf(f240,plain,(
% 0.13/0.40 ( ! [X2 : $i,X1 : $i] : (((~ (rel_s5 @ sK2 @ X2)) = $true) | ((p @ X2) = $true) | ($true = (q @ X1)) | ((rel_s5 @ sK2 @ X1) = $false)) )),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f239])).
% 0.13/0.40 thf(f239,plain,(
% 0.13/0.40 ( ! [X2 : $i,X1 : $i] : (((rel_s5 @ sK2 @ X1) = $false) | (((~ (rel_s5 @ sK2 @ X2)) | (p @ X2)) = $true) | ($true = (q @ X1))) )),
% 0.13/0.40 inference(beta_eta_normalization,[],[f238])).
% 0.13/0.40 thf(f238,plain,(
% 0.13/0.40 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0))) @ X2) = $true) | ((rel_s5 @ sK2 @ X1) = $false) | ($true = (q @ X1))) )),
% 0.13/0.40 inference(pi_clausification,[],[f237])).
% 0.13/0.40 thf(f237,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (($true = (q @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) = $true) | ((rel_s5 @ sK2 @ X1) = $false)) )),
% 0.13/0.40 inference(not_proxy_clausification,[],[f236])).
% 0.13/0.40 thf(f236,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (($true = (q @ X1)) | ($true = (~ (rel_s5 @ sK2 @ X1))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) = $true)) )),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f235])).
% 0.13/0.40 thf(f235,plain,(
% 0.13/0.40 ( ! [X1 : $i] : ((((~ (rel_s5 @ sK2 @ X1)) | (q @ X1)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) = $true)) )),
% 0.13/0.40 inference(beta_eta_normalization,[],[f234])).
% 0.13/0.40 thf(f234,plain,(
% 0.13/0.40 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) = $true) | (((^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))) @ X1) = $true)) )),
% 0.13/0.40 inference(pi_clausification,[],[f233])).
% 0.13/0.40 thf(f233,plain,(
% 0.13/0.40 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) = $true)),
% 0.13/0.40 inference(not_proxy_clausification,[],[f222])).
% 0.13/0.40 thf(f222,plain,(
% 0.13/0.40 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) = $true)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f221])).
% 0.13/0.40 thf(f221,plain,(
% 0.13/0.40 (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) = $true)),
% 0.13/0.40 inference(not_proxy_clausification,[],[f194])).
% 0.13/0.40 thf(f194,plain,(
% 0.13/0.40 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | (q @ Y0)))))) = $false)),
% 0.13/0.40 inference(binary_proxy_clausification,[],[f193])).
% 0.13/0.40 % SZS output end Proof for theBenchmark
% 0.13/0.40 % (13129)------------------------------
% 0.13/0.40 % (13129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (13129)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (13129)Memory used [KB]: 6140
% 0.13/0.40 % (13129)Time elapsed: 0.042 s
% 0.13/0.40 % (13129)Instructions burned: 55 (million)
% 0.13/0.40 % (13129)------------------------------
% 0.13/0.40 % (13129)------------------------------
% 0.13/0.40 % (13128)Success in time 0.037 s
% 0.13/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------