TSTP Solution File: PUZ086^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PUZ086^1 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:49:09 EDT 2024
% Result : Theorem 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ086^1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n016.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:01:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937
% 0.14/0.38 % (2227)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.38 % (2220)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.38 % (2222)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 Vampire---4 for (2999ds/27Mi)
% 0.14/0.38 % (2221)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 Vampire---4 for (2999ds/4Mi)
% 0.14/0.38 % (2223)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (2224)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (2226)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.38 % (2228)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.38 % (2223)Instruction limit reached!
% 0.14/0.38 % (2223)------------------------------
% 0.14/0.38 % (2223)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (2223)Termination reason: Unknown
% 0.14/0.38 % (2223)Termination phase: shuffling
% 0.14/0.38 % (2224)Instruction limit reached!
% 0.14/0.38 % (2224)------------------------------
% 0.14/0.38 % (2224)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (2224)Termination reason: Unknown
% 0.14/0.38 % (2224)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (2224)Memory used [KB]: 1023
% 0.14/0.38 % (2224)Time elapsed: 0.003 s
% 0.14/0.38 % (2224)Instructions burned: 3 (million)
% 0.14/0.38 % (2224)------------------------------
% 0.14/0.38 % (2224)------------------------------
% 0.14/0.38
% 0.14/0.38 % (2223)Memory used [KB]: 1023
% 0.14/0.38 % (2223)Time elapsed: 0.003 s
% 0.14/0.38 % (2223)Instructions burned: 3 (million)
% 0.14/0.38 % (2223)------------------------------
% 0.14/0.38 % (2223)------------------------------
% 0.14/0.38 % (2228)Instruction limit reached!
% 0.14/0.38 % (2228)------------------------------
% 0.14/0.38 % (2228)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (2228)Termination reason: Unknown
% 0.14/0.38 % (2228)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (2228)Memory used [KB]: 1023
% 0.14/0.38 % (2228)Time elapsed: 0.004 s
% 0.14/0.38 % (2228)Instructions burned: 3 (million)
% 0.14/0.38 % (2228)------------------------------
% 0.14/0.38 % (2228)------------------------------
% 0.14/0.38 % (2221)Instruction limit reached!
% 0.14/0.38 % (2221)------------------------------
% 0.14/0.38 % (2221)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (2221)Termination reason: Unknown
% 0.14/0.38 % (2221)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (2221)Memory used [KB]: 1023
% 0.14/0.38 % (2221)Time elapsed: 0.005 s
% 0.14/0.38 % (2221)Instructions burned: 5 (million)
% 0.14/0.38 % (2221)------------------------------
% 0.14/0.38 % (2221)------------------------------
% 0.14/0.39 % (2226)Refutation not found, incomplete strategy
% 0.14/0.39 % (2226)------------------------------
% 0.14/0.39 % (2226)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (2226)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (2226)Memory used [KB]: 5628
% 0.14/0.39 % (2226)Time elapsed: 0.007 s
% 0.14/0.39 % (2226)Instructions burned: 9 (million)
% 0.14/0.39 % (2226)------------------------------
% 0.14/0.39 % (2226)------------------------------
% 0.14/0.39 % (2227)Instruction limit reached!
% 0.14/0.39 % (2227)------------------------------
% 0.14/0.39 % (2227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (2227)Termination reason: Unknown
% 0.14/0.39 % (2227)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (2227)Memory used [KB]: 5628
% 0.14/0.39 % (2227)Time elapsed: 0.012 s
% 0.14/0.39 % (2227)Instructions burned: 19 (million)
% 0.14/0.39 % (2227)------------------------------
% 0.14/0.39 % (2227)------------------------------
% 0.14/0.39 % (2222)Instruction limit reached!
% 0.14/0.39 % (2222)------------------------------
% 0.14/0.39 % (2222)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (2222)Termination reason: Unknown
% 0.14/0.39 % (2222)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (2222)Memory used [KB]: 5756
% 0.14/0.39 % (2222)Time elapsed: 0.017 s
% 0.14/0.39 % (2222)Instructions burned: 27 (million)
% 0.14/0.39 % (2222)------------------------------
% 0.14/0.39 % (2222)------------------------------
% 0.14/0.40 % (2236)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 Vampire---4 for (2999ds/15Mi)
% 0.14/0.40 % (2235)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 Vampire---4 for (2999ds/37Mi)
% 0.14/0.40 % (2237)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.40 % (2238)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 Vampire---4 for (2999ds/1041Mi)
% 0.20/0.40 % (2237)Instruction limit reached!
% 0.20/0.40 % (2237)------------------------------
% 0.20/0.40 % (2237)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (2237)Termination reason: Unknown
% 0.20/0.40 % (2237)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (2237)Memory used [KB]: 1023
% 0.20/0.40 % (2237)Time elapsed: 0.004 s
% 0.20/0.40 % (2237)Instructions burned: 4 (million)
% 0.20/0.40 % (2237)------------------------------
% 0.20/0.40 % (2237)------------------------------
% 0.20/0.40 % (2241)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.20/0.40 % (2243)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.20/0.40 % (2236)Instruction limit reached!
% 0.20/0.40 % (2236)------------------------------
% 0.20/0.40 % (2236)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (2236)Termination reason: Unknown
% 0.20/0.40 % (2236)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (2236)Memory used [KB]: 1151
% 0.20/0.40 % (2236)Time elapsed: 0.010 s
% 0.20/0.40 % (2236)Instructions burned: 15 (million)
% 0.20/0.40 % (2236)------------------------------
% 0.20/0.40 % (2236)------------------------------
% 0.20/0.41 % (2241)Instruction limit reached!
% 0.20/0.41 % (2241)------------------------------
% 0.20/0.41 % (2241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (2241)Termination reason: Unknown
% 0.20/0.41 % (2241)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (2241)Memory used [KB]: 1023
% 0.20/0.41 % (2241)Time elapsed: 0.006 s
% 0.20/0.41 % (2241)Instructions burned: 8 (million)
% 0.20/0.41 % (2241)------------------------------
% 0.20/0.41 % (2241)------------------------------
% 0.20/0.41 % (2247)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 Vampire---4 for (2999ds/3Mi)
% 0.20/0.41 % (2247)Instruction limit reached!
% 0.20/0.41 % (2247)------------------------------
% 0.20/0.41 % (2247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (2247)Termination reason: Unknown
% 0.20/0.41 % (2247)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (2247)Memory used [KB]: 1023
% 0.20/0.41 % (2247)Time elapsed: 0.004 s
% 0.20/0.41 % (2247)Instructions burned: 4 (million)
% 0.20/0.41 % (2247)------------------------------
% 0.20/0.41 % (2247)------------------------------
% 0.20/0.41 % (2243)Instruction limit reached!
% 0.20/0.41 % (2243)------------------------------
% 0.20/0.41 % (2243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (2243)Termination reason: Unknown
% 0.20/0.41 % (2243)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (2243)Memory used [KB]: 5628
% 0.20/0.41 % (2243)Time elapsed: 0.010 s
% 0.20/0.41 % (2243)Instructions burned: 16 (million)
% 0.20/0.41 % (2243)------------------------------
% 0.20/0.41 % (2243)------------------------------
% 0.20/0.41 % (2251)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 Vampire---4 for (2999ds/3Mi)
% 0.20/0.42 % (2251)Instruction limit reached!
% 0.20/0.42 % (2251)------------------------------
% 0.20/0.42 % (2251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (2251)Termination reason: Unknown
% 0.20/0.42 % (2251)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (2251)Memory used [KB]: 1023
% 0.20/0.42 % (2251)Time elapsed: 0.004 s
% 0.20/0.42 % (2251)Instructions burned: 4 (million)
% 0.20/0.42 % (2251)------------------------------
% 0.20/0.42 % (2251)------------------------------
% 0.20/0.42 % (2235)Instruction limit reached!
% 0.20/0.42 % (2235)------------------------------
% 0.20/0.42 % (2235)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (2235)Termination reason: Unknown
% 0.20/0.42 % (2235)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (2235)Memory used [KB]: 5884
% 0.20/0.42 % (2235)Time elapsed: 0.023 s
% 0.20/0.42 % (2235)Instructions burned: 38 (million)
% 0.20/0.42 % (2235)------------------------------
% 0.20/0.42 % (2235)------------------------------
% 0.20/0.42 % (2252)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.20/0.42 % (2253)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.20/0.42 % (2253)Instruction limit reached!
% 0.20/0.42 % (2253)------------------------------
% 0.20/0.42 % (2253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (2253)Termination reason: Unknown
% 0.20/0.42 % (2253)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (2253)Memory used [KB]: 1023
% 0.20/0.42 % (2253)Time elapsed: 0.004 s
% 0.20/0.42 % (2253)Instructions burned: 4 (million)
% 0.20/0.42 % (2253)------------------------------
% 0.20/0.42 % (2253)------------------------------
% 0.20/0.42 % (2252)Instruction limit reached!
% 0.20/0.42 % (2252)------------------------------
% 0.20/0.42 % (2252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (2252)Termination reason: Unknown
% 0.20/0.42 % (2252)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (2252)Memory used [KB]: 1023
% 0.20/0.42 % (2252)Time elapsed: 0.006 s
% 0.20/0.42 % (2252)Instructions burned: 7 (million)
% 0.20/0.42 % (2252)------------------------------
% 0.20/0.42 % (2252)------------------------------
% 0.20/0.42 % (2255)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.20/0.43 % (2254)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.20/0.43 % (2254)Instruction limit reached!
% 0.20/0.43 % (2254)------------------------------
% 0.20/0.43 % (2254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (2254)Termination reason: Unknown
% 0.20/0.43 % (2254)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (2254)Memory used [KB]: 1023
% 0.20/0.43 % (2254)Time elapsed: 0.004 s
% 0.20/0.43 % (2254)Instructions burned: 4 (million)
% 0.20/0.43 % (2254)------------------------------
% 0.20/0.43 % (2254)------------------------------
% 0.20/0.43 % (2220)First to succeed.
% 0.20/0.43 % (2256)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.20/0.43 % (2255)Instruction limit reached!
% 0.20/0.43 % (2255)------------------------------
% 0.20/0.43 % (2255)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (2255)Termination reason: Unknown
% 0.20/0.43 % (2255)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (2255)Memory used [KB]: 5628
% 0.20/0.43 % (2255)Time elapsed: 0.031 s
% 0.20/0.43 % (2255)Instructions burned: 18 (million)
% 0.20/0.43 % (2255)------------------------------
% 0.20/0.43 % (2255)------------------------------
% 0.20/0.43 % (2257)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.20/0.44 % (2257)Instruction limit reached!
% 0.20/0.44 % (2257)------------------------------
% 0.20/0.44 % (2257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (2257)Termination reason: Unknown
% 0.20/0.44 % (2257)Termination phase: Property scanning
% 0.20/0.44
% 0.20/0.44 % (2257)Memory used [KB]: 1023
% 0.20/0.44 % (2257)Time elapsed: 0.005 s
% 0.20/0.44 % (2257)Instructions burned: 6 (million)
% 0.20/0.44 % (2257)------------------------------
% 0.20/0.44 % (2257)------------------------------
% 0.20/0.44 % (2220)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Theorem for Vampire---4
% 0.20/0.44 % SZS output start Proof for Vampire---4
% 0.20/0.44 thf(type_def_5, type, mu: $tType).
% 0.20/0.44 thf(func_def_0, type, mu: $tType).
% 0.20/0.44 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.20/0.44 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_15, type, mtrue: $i > $o).
% 0.20/0.44 thf(func_def_16, type, mfalse: $i > $o).
% 0.20/0.44 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.20/0.44 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.20/0.44 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.20/0.44 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.20/0.44 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.20/0.44 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.20/0.44 thf(func_def_33, type, peter: $i > $i > $o).
% 0.20/0.44 thf(func_def_34, type, john: $i > $i > $o).
% 0.20/0.44 thf(func_def_35, type, wife: ($i > $i > $o) > $i > $i > $o).
% 0.20/0.44 thf(func_def_36, type, time: $i > $o).
% 0.20/0.44 thf(func_def_37, type, place: $i > $o).
% 0.20/0.44 thf(func_def_38, type, appointment: $i > $o).
% 0.20/0.44 thf(func_def_55, type, sK1: $i > ($i > $o) > $i).
% 0.20/0.44 thf(func_def_56, type, sK2: $i > ($i > $o) > $i).
% 0.20/0.44 thf(func_def_64, type, sK10: $i > ($i > $o) > $i).
% 0.20/0.44 thf(func_def_65, type, sK11: $i > $i).
% 0.20/0.44 thf(func_def_66, type, ph12: !>[X0: $tType]:(X0)).
% 0.20/0.44 thf(f978,plain,(
% 0.20/0.44 $false),
% 0.20/0.44 inference(avatar_sat_refutation,[],[f385,f710,f736,f887,f894,f967,f977])).
% 0.20/0.44 thf(f977,plain,(
% 0.20/0.44 ~spl0_25),
% 0.20/0.44 inference(avatar_contradiction_clause,[],[f976])).
% 0.20/0.44 thf(f976,plain,(
% 0.20/0.44 $false | ~spl0_25),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f972])).
% 0.20/0.44 thf(f972,plain,(
% 0.20/0.44 ($false = $true) | ~spl0_25),
% 0.20/0.44 inference(superposition,[],[f885,f429])).
% 0.20/0.44 thf(f429,plain,(
% 0.20/0.44 ( ! [X0 : $i] : (($true = (time @ X0))) )),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f422])).
% 0.20/0.44 thf(f422,plain,(
% 0.20/0.44 ( ! [X0 : $i] : (($false = $true) | ($true = (time @ X0))) )),
% 0.20/0.44 inference(superposition,[],[f270,f242])).
% 0.20/0.44 thf(f242,plain,(
% 0.20/0.44 ( ! [X1 : $i] : (((peter @ X1 @ X1) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f241])).
% 0.20/0.44 thf(f241,plain,(
% 0.20/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: (peter @ Y0 @ Y0)) @ X1) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f240])).
% 0.20/0.44 thf(f240,plain,(
% 0.20/0.44 ((!! @ $i @ (^[Y0 : $i]: (peter @ Y0 @ Y0))) = $true)),
% 0.20/0.44 inference(beta_eta_normalization,[],[f196])).
% 0.20/0.44 thf(f196,plain,(
% 0.20/0.44 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ peter) = $true)),
% 0.20/0.44 inference(definition_unfolding,[],[f168,f161])).
% 0.20/0.44 thf(f161,plain,(
% 0.20/0.44 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.20/0.44 inference(cnf_transformation,[],[f126])).
% 0.20/0.44 thf(f126,plain,(
% 0.20/0.44 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 0.20/0.44 inference(fool_elimination,[],[f125])).
% 0.20/0.44 thf(f125,plain,(
% 0.20/0.44 ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = mreflexive)),
% 0.20/0.44 inference(rectify,[],[f18])).
% 0.20/0.44 thf(f18,axiom,(
% 0.20/0.44 ((^[X6 : $i > $i > $o] : (! [X8] : (X6 @ X8 @ X8))) = mreflexive)),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',mreflexive)).
% 0.20/0.44 thf(f168,plain,(
% 0.20/0.44 ((mreflexive @ peter) = $true)),
% 0.20/0.44 inference(cnf_transformation,[],[f76])).
% 0.20/0.44 thf(f76,plain,(
% 0.20/0.44 ((mreflexive @ peter) = $true)),
% 0.20/0.44 inference(fool_elimination,[],[f75])).
% 0.20/0.44 thf(f75,plain,(
% 0.20/0.44 (mreflexive @ peter)),
% 0.20/0.44 inference(rectify,[],[f32])).
% 0.20/0.44 thf(f32,axiom,(
% 0.20/0.44 (mreflexive @ peter)),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',refl_peter)).
% 0.20/0.44 thf(f270,plain,(
% 0.20/0.44 ( ! [X2 : $i,X1 : $i] : (($false = (peter @ X1 @ X2)) | ((time @ X2) = $true)) )),
% 0.20/0.44 inference(not_proxy_clausification,[],[f269])).
% 0.20/0.44 thf(f269,plain,(
% 0.20/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (~ (peter @ X1 @ X2))) | ((time @ X2) = $true)) )),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f268])).
% 0.20/0.44 thf(f268,plain,(
% 0.20/0.44 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (peter @ X1 @ X2)) | (time @ X2)))) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f267])).
% 0.20/0.44 thf(f267,plain,(
% 0.20/0.44 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (peter @ X1 @ Y0)) | (time @ Y0))) @ X2) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f266])).
% 0.20/0.44 thf(f266,plain,(
% 0.20/0.44 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ X1 @ Y0)) | (time @ Y0)))))) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f265])).
% 0.20/0.44 thf(f265,plain,(
% 0.20/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (time @ Y1))))) @ X1) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f264])).
% 0.20/0.44 thf(f264,plain,(
% 0.20/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (time @ Y1)))))) = $true)),
% 0.20/0.44 inference(beta_eta_normalization,[],[f197])).
% 0.20/0.44 thf(f197,plain,(
% 0.20/0.44 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ peter @ time)) = $true)),
% 0.20/0.44 inference(definition_unfolding,[],[f170,f174,f133])).
% 0.20/0.44 thf(f133,plain,(
% 0.20/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.20/0.44 inference(cnf_transformation,[],[f122])).
% 0.20/0.44 thf(f122,plain,(
% 0.20/0.44 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.20/0.44 inference(fool_elimination,[],[f121])).
% 0.20/0.44 thf(f121,plain,(
% 0.20/0.44 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
% 0.20/0.44 inference(rectify,[],[f16])).
% 0.20/0.44 thf(f16,axiom,(
% 0.20/0.44 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',mbox)).
% 0.20/0.44 thf(f174,plain,(
% 0.20/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.20/0.44 inference(cnf_transformation,[],[f128])).
% 0.20/0.44 thf(f128,plain,(
% 0.20/0.44 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.20/0.44 inference(fool_elimination,[],[f127])).
% 0.20/0.44 thf(f127,plain,(
% 0.20/0.44 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.20/0.44 inference(rectify,[],[f28])).
% 0.20/0.44 thf(f28,axiom,(
% 0.20/0.44 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',mvalid)).
% 0.20/0.44 thf(f170,plain,(
% 0.20/0.44 ((mvalid @ (mbox @ peter @ time)) = $true)),
% 0.20/0.44 inference(cnf_transformation,[],[f100])).
% 0.20/0.44 thf(f100,plain,(
% 0.20/0.44 ((mvalid @ (mbox @ peter @ time)) = $true)),
% 0.20/0.44 inference(fool_elimination,[],[f99])).
% 0.20/0.44 thf(f99,plain,(
% 0.20/0.44 (mvalid @ (mbox @ peter @ time))),
% 0.20/0.44 inference(rectify,[],[f40])).
% 0.20/0.44 thf(f40,axiom,(
% 0.20/0.44 (mvalid @ (mbox @ peter @ time))),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',ax_a)).
% 0.20/0.44 thf(f885,plain,(
% 0.20/0.44 ($false = (time @ sK8)) | ~spl0_25),
% 0.20/0.44 inference(avatar_component_clause,[],[f883])).
% 0.20/0.44 thf(f883,plain,(
% 0.20/0.44 spl0_25 <=> ($false = (time @ sK8))),
% 0.20/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
% 0.20/0.44 thf(f967,plain,(
% 0.20/0.44 ~spl0_24),
% 0.20/0.44 inference(avatar_contradiction_clause,[],[f966])).
% 0.20/0.44 thf(f966,plain,(
% 0.20/0.44 $false | ~spl0_24),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f962])).
% 0.20/0.44 thf(f962,plain,(
% 0.20/0.44 ($false = $true) | ~spl0_24),
% 0.20/0.44 inference(superposition,[],[f881,f514])).
% 0.20/0.44 thf(f514,plain,(
% 0.20/0.44 ( ! [X0 : $i] : (((place @ X0) = $true)) )),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f506])).
% 0.20/0.44 thf(f506,plain,(
% 0.20/0.44 ( ! [X0 : $i] : (($false = $true) | ((place @ X0) = $true)) )),
% 0.20/0.44 inference(superposition,[],[f242,f441])).
% 0.20/0.44 thf(f441,plain,(
% 0.20/0.44 ( ! [X0 : $i,X1 : $i] : (($false = (peter @ X1 @ X0)) | ((place @ X0) = $true)) )),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f433])).
% 0.20/0.44 thf(f433,plain,(
% 0.20/0.44 ( ! [X0 : $i,X1 : $i] : (((place @ X0) = $true) | ($false = $true) | ($false = (peter @ X1 @ X0))) )),
% 0.20/0.44 inference(superposition,[],[f318,f338])).
% 0.20/0.44 thf(f338,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (john @ X2 @ X3)) | ($true = (place @ X3)) | ($false = (peter @ X1 @ X2))) )),
% 0.20/0.44 inference(not_proxy_clausification,[],[f337])).
% 0.20/0.44 thf(f337,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (place @ X3)) | ($false = (peter @ X1 @ X2)) | ((~ (john @ X2 @ X3)) = $true)) )),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f336])).
% 0.20/0.44 thf(f336,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (peter @ X1 @ X2)) | (((~ (john @ X2 @ X3)) | (place @ X3)) = $true)) )),
% 0.20/0.44 inference(not_proxy_clausification,[],[f335])).
% 0.20/0.44 thf(f335,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (~ (peter @ X1 @ X2))) | (((~ (john @ X2 @ X3)) | (place @ X3)) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f334])).
% 0.20/0.44 thf(f334,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (~ (peter @ X1 @ X2))) | (((^[Y0 : $i]: ((~ (john @ X2 @ Y0)) | (place @ Y0))) @ X3) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f333])).
% 0.20/0.44 thf(f333,plain,(
% 0.20/0.44 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (john @ X2 @ Y0)) | (place @ Y0)))) = $true) | ($true = (~ (peter @ X1 @ X2)))) )),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f332])).
% 0.20/0.44 thf(f332,plain,(
% 0.20/0.44 ( ! [X2 : $i,X1 : $i] : ((((~ (peter @ X1 @ X2)) | (!! @ $i @ (^[Y0 : $i]: ((~ (john @ X2 @ Y0)) | (place @ Y0))))) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f331])).
% 0.20/0.44 thf(f331,plain,(
% 0.20/0.44 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (peter @ X1 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (place @ Y1)))))) @ X2) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f330])).
% 0.20/0.44 thf(f330,plain,(
% 0.20/0.44 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (peter @ X1 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (place @ Y1))))))) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f329])).
% 0.20/0.44 thf(f329,plain,(
% 0.20/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (john @ Y1 @ Y2)) | (place @ Y2)))))))) @ X1) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f328])).
% 0.20/0.44 thf(f328,plain,(
% 0.20/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (john @ Y1 @ Y2)) | (place @ Y2))))))))) = $true)),
% 0.20/0.44 inference(beta_eta_normalization,[],[f194])).
% 0.20/0.44 thf(f194,plain,(
% 0.20/0.44 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ peter @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ john @ place))))),
% 0.20/0.44 inference(definition_unfolding,[],[f158,f174,f133,f133])).
% 0.20/0.44 thf(f158,plain,(
% 0.20/0.44 ((mvalid @ (mbox @ peter @ (mbox @ john @ place))) = $true)),
% 0.20/0.44 inference(cnf_transformation,[],[f98])).
% 0.20/0.44 thf(f98,plain,(
% 0.20/0.44 ((mvalid @ (mbox @ peter @ (mbox @ john @ place))) = $true)),
% 0.20/0.44 inference(fool_elimination,[],[f97])).
% 0.20/0.44 thf(f97,plain,(
% 0.20/0.44 (mvalid @ (mbox @ peter @ (mbox @ john @ place)))),
% 0.20/0.44 inference(rectify,[],[f41])).
% 0.20/0.44 thf(f41,axiom,(
% 0.20/0.44 (mvalid @ (mbox @ peter @ (mbox @ john @ place)))),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',ax_b)).
% 0.20/0.44 thf(f318,plain,(
% 0.20/0.44 ( ! [X1 : $i] : (((john @ X1 @ X1) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f317])).
% 0.20/0.44 thf(f317,plain,(
% 0.20/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (john @ Y0 @ Y0)) @ X1))) )),
% 0.20/0.44 inference(pi_clausification,[],[f316])).
% 0.20/0.44 thf(f316,plain,(
% 0.20/0.44 ((!! @ $i @ (^[Y0 : $i]: (john @ Y0 @ Y0))) = $true)),
% 0.20/0.44 inference(beta_eta_normalization,[],[f191])).
% 0.20/0.44 thf(f191,plain,(
% 0.20/0.44 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ john) = $true)),
% 0.20/0.44 inference(definition_unfolding,[],[f152,f161])).
% 0.20/0.44 thf(f152,plain,(
% 0.20/0.44 ((mreflexive @ john) = $true)),
% 0.20/0.44 inference(cnf_transformation,[],[f59])).
% 0.20/0.44 thf(f59,plain,(
% 0.20/0.44 ((mreflexive @ john) = $true)),
% 0.20/0.44 inference(fool_elimination,[],[f58])).
% 0.20/0.44 thf(f58,plain,(
% 0.20/0.44 (mreflexive @ john)),
% 0.20/0.44 inference(rectify,[],[f33])).
% 0.20/0.44 thf(f33,axiom,(
% 0.20/0.44 (mreflexive @ john)),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',refl_john)).
% 0.20/0.44 thf(f881,plain,(
% 0.20/0.44 ($false = (place @ sK8)) | ~spl0_24),
% 0.20/0.44 inference(avatar_component_clause,[],[f879])).
% 0.20/0.44 thf(f879,plain,(
% 0.20/0.44 spl0_24 <=> ($false = (place @ sK8))),
% 0.20/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 0.20/0.44 thf(f894,plain,(
% 0.20/0.44 ~spl0_2 | spl0_16 | spl0_18),
% 0.20/0.44 inference(avatar_contradiction_clause,[],[f893])).
% 0.20/0.44 thf(f893,plain,(
% 0.20/0.44 $false | (~spl0_2 | spl0_16 | spl0_18)),
% 0.20/0.44 inference(subsumption_resolution,[],[f892,f681])).
% 0.20/0.44 thf(f681,plain,(
% 0.20/0.44 ($false != (time @ sK9)) | spl0_18),
% 0.20/0.44 inference(avatar_component_clause,[],[f680])).
% 0.20/0.44 thf(f680,plain,(
% 0.20/0.44 spl0_18 <=> ($false = (time @ sK9))),
% 0.20/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
% 0.20/0.44 thf(f892,plain,(
% 0.20/0.44 ($false = (time @ sK9)) | (~spl0_2 | spl0_16)),
% 0.20/0.44 inference(subsumption_resolution,[],[f855,f673])).
% 0.20/0.44 thf(f673,plain,(
% 0.20/0.44 ($false != (place @ sK9)) | spl0_16),
% 0.20/0.44 inference(avatar_component_clause,[],[f672])).
% 0.20/0.44 thf(f672,plain,(
% 0.20/0.44 spl0_16 <=> ($false = (place @ sK9))),
% 0.20/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 0.20/0.44 thf(f855,plain,(
% 0.20/0.44 ($false = (place @ sK9)) | ($false = (time @ sK9)) | ~spl0_2),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f853])).
% 0.20/0.44 thf(f853,plain,(
% 0.20/0.44 ($false = (time @ sK9)) | ($false = $true) | ($false = (place @ sK9)) | ~spl0_2),
% 0.20/0.44 inference(superposition,[],[f384,f840])).
% 0.20/0.44 thf(f840,plain,(
% 0.20/0.44 ( ! [X0 : $i] : (($true = (appointment @ X0)) | ((place @ X0) = $false) | ($false = (time @ X0))) )),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f826])).
% 0.20/0.44 thf(f826,plain,(
% 0.20/0.44 ( ! [X0 : $i] : (($false = (time @ X0)) | ((place @ X0) = $false) | ($true = (appointment @ X0)) | ($false = $true)) )),
% 0.20/0.44 inference(superposition,[],[f242,f670])).
% 0.20/0.44 thf(f670,plain,(
% 0.20/0.44 ( ! [X0 : $i,X1 : $i] : (($false = (peter @ X1 @ X0)) | ($true = (appointment @ X0)) | ((place @ X0) = $false) | ($false = (time @ X0))) )),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f654])).
% 0.20/0.44 thf(f654,plain,(
% 0.20/0.44 ( ! [X0 : $i,X1 : $i] : (((place @ X0) = $false) | ($false = (peter @ X1 @ X0)) | ($true = (appointment @ X0)) | ($false = $true) | ($false = (time @ X0))) )),
% 0.20/0.44 inference(superposition,[],[f213,f318])).
% 0.20/0.44 thf(f213,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (john @ X2 @ X3)) | ($false = (place @ X3)) | ($false = (time @ X3)) | ($true = (appointment @ X3)) | ($false = (peter @ X1 @ X2))) )),
% 0.20/0.44 inference(not_proxy_clausification,[],[f212])).
% 0.20/0.44 thf(f212,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (time @ X3)) | ($false = (peter @ X1 @ X2)) | ($true = (appointment @ X3)) | ($false = (john @ X2 @ X3)) | ($true = (~ (place @ X3)))) )),
% 0.20/0.44 inference(not_proxy_clausification,[],[f211])).
% 0.20/0.44 thf(f211,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (time @ X3)) = $true) | ($false = (peter @ X1 @ X2)) | ($true = (appointment @ X3)) | ($false = (john @ X2 @ X3)) | ($true = (~ (place @ X3)))) )),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f210])).
% 0.20/0.44 thf(f210,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (peter @ X1 @ X2)) | ($true = ((~ (time @ X3)) | (~ (place @ X3)))) | ($false = (john @ X2 @ X3)) | ($true = (appointment @ X3))) )),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f209])).
% 0.20/0.44 thf(f209,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (peter @ X1 @ X2)) | ($false = (john @ X2 @ X3)) | (((appointment @ X3) | ((~ (time @ X3)) | (~ (place @ X3)))) = $true)) )),
% 0.20/0.44 inference(not_proxy_clausification,[],[f208])).
% 0.20/0.44 thf(f208,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (john @ X2 @ X3)) = $true) | ($false = (peter @ X1 @ X2)) | (((appointment @ X3) | ((~ (time @ X3)) | (~ (place @ X3)))) = $true)) )),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f207])).
% 0.20/0.44 thf(f207,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (peter @ X1 @ X2)) | (((~ (john @ X2 @ X3)) | ((appointment @ X3) | ((~ (time @ X3)) | (~ (place @ X3))))) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f206])).
% 0.20/0.44 thf(f206,plain,(
% 0.20/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (peter @ X1 @ X2)) | (((^[Y0 : $i]: ((~ (john @ X2 @ Y0)) | ((appointment @ Y0) | ((~ (time @ Y0)) | (~ (place @ Y0)))))) @ X3) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f205])).
% 0.20/0.44 thf(f205,plain,(
% 0.20/0.44 ( ! [X2 : $i,X1 : $i] : (($false = (peter @ X1 @ X2)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (john @ X2 @ Y0)) | ((appointment @ Y0) | ((~ (time @ Y0)) | (~ (place @ Y0))))))) = $true)) )),
% 0.20/0.44 inference(not_proxy_clausification,[],[f204])).
% 0.20/0.44 thf(f204,plain,(
% 0.20/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (~ (peter @ X1 @ X2))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (john @ X2 @ Y0)) | ((appointment @ Y0) | ((~ (time @ Y0)) | (~ (place @ Y0))))))) = $true)) )),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f203])).
% 0.20/0.44 thf(f203,plain,(
% 0.20/0.44 ( ! [X2 : $i,X1 : $i] : ((((~ (peter @ X1 @ X2)) | (!! @ $i @ (^[Y0 : $i]: ((~ (john @ X2 @ Y0)) | ((appointment @ Y0) | ((~ (time @ Y0)) | (~ (place @ Y0)))))))) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f202])).
% 0.20/0.44 thf(f202,plain,(
% 0.20/0.44 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (peter @ X1 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | ((appointment @ Y1) | ((~ (time @ Y1)) | (~ (place @ Y1))))))))) @ X2))) )),
% 0.20/0.44 inference(pi_clausification,[],[f201])).
% 0.20/0.44 thf(f201,plain,(
% 0.20/0.44 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (peter @ X1 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | ((appointment @ Y1) | ((~ (time @ Y1)) | (~ (place @ Y1)))))))))) = $true)) )),
% 0.20/0.44 inference(beta_eta_normalization,[],[f200])).
% 0.20/0.44 thf(f200,plain,(
% 0.20/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (john @ Y1 @ Y2)) | ((appointment @ Y2) | ((~ (time @ Y2)) | (~ (place @ Y2))))))))))) @ X1) = $true)) )),
% 0.20/0.44 inference(pi_clausification,[],[f199])).
% 0.20/0.44 thf(f199,plain,(
% 0.20/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (john @ Y1 @ Y2)) | ((appointment @ Y2) | ((~ (time @ Y2)) | (~ (place @ Y2)))))))))))) = $true)),
% 0.20/0.44 inference(boolean_simplification,[],[f198])).
% 0.20/0.44 thf(f198,plain,(
% 0.20/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (john @ Y1 @ Y2)) | ((appointment @ Y2) | (~ (~ ((~ (time @ Y2)) | (~ (place @ Y2)))))))))))))) = $true)),
% 0.20/0.44 inference(beta_eta_normalization,[],[f187])).
% 0.20/0.44 thf(f187,plain,(
% 0.20/0.44 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ peter @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ john @ ((^[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 > $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)))))) @ place @ time) @ appointment)))))),
% 0.20/0.44 inference(definition_unfolding,[],[f143,f174,f133,f133,f177,f176])).
% 0.20/0.44 thf(f176,plain,(
% 0.20/0.44 (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)))))))),
% 0.20/0.44 inference(definition_unfolding,[],[f175,f138,f159,f138,f138])).
% 0.20/0.44 thf(f159,plain,(
% 0.20/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.20/0.44 inference(cnf_transformation,[],[f114])).
% 0.20/0.44 thf(f114,plain,(
% 0.20/0.44 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.20/0.44 inference(fool_elimination,[],[f113])).
% 0.20/0.44 thf(f113,plain,(
% 0.20/0.44 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.20/0.44 inference(rectify,[],[f4])).
% 0.20/0.44 thf(f4,axiom,(
% 0.20/0.44 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))) = mor)),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',mor)).
% 0.20/0.44 thf(f138,plain,(
% 0.20/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.20/0.44 inference(cnf_transformation,[],[f118])).
% 0.20/0.44 thf(f118,plain,(
% 0.20/0.44 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.20/0.44 inference(fool_elimination,[],[f117])).
% 0.20/0.44 thf(f117,plain,(
% 0.20/0.44 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.20/0.44 inference(rectify,[],[f3])).
% 0.20/0.44 thf(f3,axiom,(
% 0.20/0.44 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',mnot)).
% 0.20/0.44 thf(f175,plain,(
% 0.20/0.44 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.20/0.44 inference(cnf_transformation,[],[f63])).
% 0.20/0.44 thf(f63,plain,(
% 0.20/0.44 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.20/0.44 inference(fool_elimination,[],[f62])).
% 0.20/0.44 thf(f62,plain,(
% 0.20/0.44 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))),
% 0.20/0.44 inference(rectify,[],[f5])).
% 0.20/0.44 thf(f5,axiom,(
% 0.20/0.44 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',mand)).
% 0.20/0.44 thf(f177,plain,(
% 0.20/0.44 (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)))))),
% 0.20/0.44 inference(definition_unfolding,[],[f157,f159,f138])).
% 0.20/0.44 thf(f157,plain,(
% 0.20/0.44 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.20/0.44 inference(cnf_transformation,[],[f112])).
% 0.20/0.44 thf(f112,plain,(
% 0.20/0.44 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.20/0.44 inference(fool_elimination,[],[f111])).
% 0.20/0.44 thf(f111,plain,(
% 0.20/0.44 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.20/0.44 inference(rectify,[],[f6])).
% 0.20/0.44 thf(f6,axiom,(
% 0.20/0.44 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',mimplies)).
% 0.20/0.44 thf(f143,plain,(
% 0.20/0.44 ((mvalid @ (mbox @ peter @ (mbox @ john @ (mimplies @ (mand @ place @ time) @ appointment)))) = $true)),
% 0.20/0.44 inference(cnf_transformation,[],[f124])).
% 0.20/0.44 thf(f124,plain,(
% 0.20/0.44 ((mvalid @ (mbox @ peter @ (mbox @ john @ (mimplies @ (mand @ place @ time) @ appointment)))) = $true)),
% 0.20/0.44 inference(fool_elimination,[],[f123])).
% 0.20/0.44 thf(f123,plain,(
% 0.20/0.44 (mvalid @ (mbox @ peter @ (mbox @ john @ (mimplies @ (mand @ place @ time) @ appointment))))),
% 0.20/0.44 inference(rectify,[],[f43])).
% 0.20/0.44 thf(f43,axiom,(
% 0.20/0.44 (mvalid @ (mbox @ peter @ (mbox @ john @ (mimplies @ (mand @ place @ time) @ appointment))))),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',ax_d)).
% 0.20/0.44 thf(f384,plain,(
% 0.20/0.44 ($false = (appointment @ sK9)) | ~spl0_2),
% 0.20/0.44 inference(avatar_component_clause,[],[f382])).
% 0.20/0.44 thf(f382,plain,(
% 0.20/0.44 spl0_2 <=> ($false = (appointment @ sK9))),
% 0.20/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.20/0.44 thf(f887,plain,(
% 0.20/0.44 spl0_24 | spl0_25 | ~spl0_1),
% 0.20/0.44 inference(avatar_split_clause,[],[f860,f378,f883,f879])).
% 0.20/0.44 thf(f378,plain,(
% 0.20/0.44 spl0_1 <=> ($false = (appointment @ sK8))),
% 0.20/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.20/0.44 thf(f860,plain,(
% 0.20/0.44 ($false = (place @ sK8)) | ($false = (time @ sK8)) | ~spl0_1),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f851])).
% 0.20/0.44 thf(f851,plain,(
% 0.20/0.44 ($false = (time @ sK8)) | ($false = $true) | ($false = (place @ sK8)) | ~spl0_1),
% 0.20/0.44 inference(superposition,[],[f380,f840])).
% 0.20/0.44 thf(f380,plain,(
% 0.20/0.44 ($false = (appointment @ sK8)) | ~spl0_1),
% 0.20/0.44 inference(avatar_component_clause,[],[f378])).
% 0.20/0.44 thf(f736,plain,(
% 0.20/0.44 ~spl0_18),
% 0.20/0.44 inference(avatar_contradiction_clause,[],[f735])).
% 0.20/0.44 thf(f735,plain,(
% 0.20/0.44 $false | ~spl0_18),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f732])).
% 0.20/0.44 thf(f732,plain,(
% 0.20/0.44 ($false = $true) | ~spl0_18),
% 0.20/0.44 inference(superposition,[],[f429,f682])).
% 0.20/0.44 thf(f682,plain,(
% 0.20/0.44 ($false = (time @ sK9)) | ~spl0_18),
% 0.20/0.44 inference(avatar_component_clause,[],[f680])).
% 0.20/0.44 thf(f710,plain,(
% 0.20/0.44 ~spl0_16),
% 0.20/0.44 inference(avatar_contradiction_clause,[],[f709])).
% 0.20/0.44 thf(f709,plain,(
% 0.20/0.44 $false | ~spl0_16),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f702])).
% 0.20/0.44 thf(f702,plain,(
% 0.20/0.44 ($false = $true) | ~spl0_16),
% 0.20/0.44 inference(superposition,[],[f514,f674])).
% 0.20/0.44 thf(f674,plain,(
% 0.20/0.44 ($false = (place @ sK9)) | ~spl0_16),
% 0.20/0.44 inference(avatar_component_clause,[],[f672])).
% 0.20/0.44 thf(f385,plain,(
% 0.20/0.44 spl0_1 | spl0_2),
% 0.20/0.44 inference(avatar_split_clause,[],[f313,f382,f378])).
% 0.20/0.44 thf(f313,plain,(
% 0.20/0.44 ($false = (appointment @ sK8)) | ($false = (appointment @ sK9))),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f306])).
% 0.20/0.44 thf(f306,plain,(
% 0.20/0.44 ($false = ((~ (john @ sK7 @ sK9)) | (appointment @ sK9))) | ($false = (appointment @ sK8))),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f305])).
% 0.20/0.44 thf(f305,plain,(
% 0.20/0.44 (((~ (peter @ sK4 @ sK8)) | (appointment @ sK8)) = $false) | ($false = ((~ (john @ sK7 @ sK9)) | (appointment @ sK9)))),
% 0.20/0.44 inference(beta_eta_normalization,[],[f304])).
% 0.20/0.44 thf(f304,plain,(
% 0.20/0.44 (((~ (peter @ sK4 @ sK8)) | (appointment @ sK8)) = $false) | ($false = ((^[Y0 : $i]: ((~ (john @ sK7 @ Y0)) | (appointment @ Y0))) @ sK9))),
% 0.20/0.44 inference(sigma_clausification,[],[f298])).
% 0.20/0.44 thf(f298,plain,(
% 0.20/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (john @ sK7 @ Y0)) | (appointment @ Y0))))) | (((~ (peter @ sK4 @ sK8)) | (appointment @ sK8)) = $false)),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f297])).
% 0.20/0.44 thf(f297,plain,(
% 0.20/0.44 (((~ (peter @ sK3 @ sK7)) | (!! @ $i @ (^[Y0 : $i]: ((~ (john @ sK7 @ Y0)) | (appointment @ Y0))))) = $false) | (((~ (peter @ sK4 @ sK8)) | (appointment @ sK8)) = $false)),
% 0.20/0.44 inference(beta_eta_normalization,[],[f296])).
% 0.20/0.44 thf(f296,plain,(
% 0.20/0.44 ($false = ((^[Y0 : $i]: ((~ (peter @ sK4 @ Y0)) | (appointment @ Y0))) @ sK8)) | (((~ (peter @ sK3 @ sK7)) | (!! @ $i @ (^[Y0 : $i]: ((~ (john @ sK7 @ Y0)) | (appointment @ Y0))))) = $false)),
% 0.20/0.44 inference(sigma_clausification,[],[f295])).
% 0.20/0.44 thf(f295,plain,(
% 0.20/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK4 @ Y0)) | (appointment @ Y0))))) | (((~ (peter @ sK3 @ sK7)) | (!! @ $i @ (^[Y0 : $i]: ((~ (john @ sK7 @ Y0)) | (appointment @ Y0))))) = $false)),
% 0.20/0.44 inference(beta_eta_normalization,[],[f294])).
% 0.20/0.44 thf(f294,plain,(
% 0.20/0.44 ($false = ((^[Y0 : $i]: ((~ (peter @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (appointment @ Y1)))))) @ sK7)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK4 @ Y0)) | (appointment @ Y0)))))),
% 0.20/0.44 inference(sigma_clausification,[],[f280])).
% 0.20/0.44 thf(f280,plain,(
% 0.20/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (appointment @ Y1)))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK4 @ Y0)) | (appointment @ Y0)))))),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f279])).
% 0.20/0.44 thf(f279,plain,(
% 0.20/0.44 (((~ (john @ sK3 @ sK4)) | (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK4 @ Y0)) | (appointment @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (appointment @ Y1))))))))),
% 0.20/0.44 inference(not_proxy_clausification,[],[f278])).
% 0.20/0.44 thf(f278,plain,(
% 0.20/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (appointment @ Y1)))))))) = $true) | (((~ (john @ sK3 @ sK4)) | (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK4 @ Y0)) | (appointment @ Y0))))) = $false)),
% 0.20/0.44 inference(beta_eta_normalization,[],[f277])).
% 0.20/0.44 thf(f277,plain,(
% 0.20/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (appointment @ Y1)))))))) = $true) | (((^[Y0 : $i]: ((~ (john @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (appointment @ Y1)))))) @ sK4) = $false)),
% 0.20/0.44 inference(sigma_clausification,[],[f276])).
% 0.20/0.44 thf(f276,plain,(
% 0.20/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (john @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (appointment @ Y1)))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (appointment @ Y1)))))))) = $true)),
% 0.20/0.44 inference(not_proxy_clausification,[],[f275])).
% 0.20/0.44 thf(f275,plain,(
% 0.20/0.44 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (john @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (appointment @ Y1)))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (appointment @ Y1)))))))) = $true)),
% 0.20/0.44 inference(binary_proxy_clausification,[],[f274])).
% 0.20/0.44 thf(f274,plain,(
% 0.20/0.44 (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (john @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (appointment @ Y1)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (appointment @ Y1))))))))) = $true)),
% 0.20/0.44 inference(not_proxy_clausification,[],[f273])).
% 0.20/0.44 thf(f273,plain,(
% 0.20/0.44 ($false = (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (john @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (appointment @ Y1)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (peter @ sK3 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (appointment @ Y1)))))))))))),
% 0.20/0.44 inference(beta_eta_normalization,[],[f272])).
% 0.20/0.44 thf(f272,plain,(
% 0.20/0.44 ($false = ((^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (peter @ Y1 @ Y2)) | (appointment @ Y2)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (john @ Y1 @ Y2)) | (appointment @ Y2))))))))))) @ sK3))),
% 0.20/0.44 inference(sigma_clausification,[],[f271])).
% 0.20/0.44 thf(f271,plain,(
% 0.20/0.44 ((!! @ $i @ (^[Y0 : $i]: (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (john @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (peter @ Y1 @ Y2)) | (appointment @ Y2)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (peter @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (john @ Y1 @ Y2)) | (appointment @ Y2)))))))))))) != $true)),
% 0.20/0.44 inference(beta_eta_normalization,[],[f185])).
% 0.20/0.44 thf(f185,plain,(
% 0.20/0.44 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[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)))))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ peter @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ john @ appointment)) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ john @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ peter @ appointment)))) != $true)),
% 0.20/0.44 inference(definition_unfolding,[],[f132,f174,f176,f133,f133,f133,f133])).
% 0.20/0.44 thf(f132,plain,(
% 0.20/0.44 ((mvalid @ (mand @ (mbox @ peter @ (mbox @ john @ appointment)) @ (mbox @ john @ (mbox @ peter @ appointment)))) != $true)),
% 0.20/0.44 inference(cnf_transformation,[],[f131])).
% 0.20/0.44 thf(f131,plain,(
% 0.20/0.44 ((mvalid @ (mand @ (mbox @ peter @ (mbox @ john @ appointment)) @ (mbox @ john @ (mbox @ peter @ appointment)))) != $true)),
% 0.20/0.44 inference(flattening,[],[f82])).
% 0.20/0.44 thf(f82,plain,(
% 0.20/0.44 ~((mvalid @ (mand @ (mbox @ peter @ (mbox @ john @ appointment)) @ (mbox @ john @ (mbox @ peter @ appointment)))) = $true)),
% 0.20/0.44 inference(fool_elimination,[],[f81])).
% 0.20/0.44 thf(f81,plain,(
% 0.20/0.44 ~(mvalid @ (mand @ (mbox @ peter @ (mbox @ john @ appointment)) @ (mbox @ john @ (mbox @ peter @ appointment))))),
% 0.20/0.44 inference(rectify,[],[f45])).
% 0.20/0.44 thf(f45,negated_conjecture,(
% 0.20/0.44 ~(mvalid @ (mand @ (mbox @ peter @ (mbox @ john @ appointment)) @ (mbox @ john @ (mbox @ peter @ appointment))))),
% 0.20/0.44 inference(negated_conjecture,[],[f44])).
% 0.20/0.44 thf(f44,conjecture,(
% 0.20/0.44 (mvalid @ (mand @ (mbox @ peter @ (mbox @ john @ appointment)) @ (mbox @ john @ (mbox @ peter @ appointment))))),
% 0.20/0.44 file('/export/starexec/sandbox2/tmp/tmp.vI5nogyI6j/Vampire---4.8_1937',conj)).
% 0.20/0.44 % SZS output end Proof for Vampire---4
% 0.20/0.44 % (2220)------------------------------
% 0.20/0.44 % (2220)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (2220)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (2220)Memory used [KB]: 6268
% 0.20/0.44 % (2220)Time elapsed: 0.058 s
% 0.20/0.44 % (2220)Instructions burned: 81 (million)
% 0.20/0.44 % (2220)------------------------------
% 0.20/0.44 % (2220)------------------------------
% 0.20/0.44 % (2219)Success in time 0.076 s
% 0.20/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------