TSTP Solution File: AGT041^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT041^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n022.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 04:09:34 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT041^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:22:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.22/0.36 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/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277
% 0.22/0.38 % (5540)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.38 % (5540)Instruction limit reached!
% 0.22/0.38 % (5540)------------------------------
% 0.22/0.38 % (5540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (5540)Termination reason: Unknown
% 0.22/0.38 % (5540)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (5540)Memory used [KB]: 1023
% 0.22/0.38 % (5540)Time elapsed: 0.002 s
% 0.22/0.38 % (5540)Instructions burned: 3 (million)
% 0.22/0.38 % (5540)------------------------------
% 0.22/0.38 % (5540)------------------------------
% 0.22/0.38 % (5537)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)
% 0.22/0.38 % (5538)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)
% 0.22/0.38 % (5539)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)
% 0.22/0.38 % (5541)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)
% 0.22/0.38 % (5542)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)
% 0.22/0.38 % (5543)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.38 % (5544)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)
% 0.22/0.38 % (5541)Instruction limit reached!
% 0.22/0.38 % (5541)------------------------------
% 0.22/0.38 % (5541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (5541)Termination reason: Unknown
% 0.22/0.38 % (5541)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (5541)Memory used [KB]: 1023
% 0.22/0.38 % (5541)Time elapsed: 0.003 s
% 0.22/0.38 % (5541)Instructions burned: 3 (million)
% 0.22/0.38 % (5541)------------------------------
% 0.22/0.38 % (5541)------------------------------
% 0.22/0.38 % (5544)Instruction limit reached!
% 0.22/0.38 % (5544)------------------------------
% 0.22/0.38 % (5544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (5544)Termination reason: Unknown
% 0.22/0.38 % (5544)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (5544)Memory used [KB]: 1023
% 0.22/0.38 % (5544)Time elapsed: 0.004 s
% 0.22/0.38 % (5544)Instructions burned: 3 (million)
% 0.22/0.38 % (5544)------------------------------
% 0.22/0.38 % (5544)------------------------------
% 0.22/0.38 % (5538)Instruction limit reached!
% 0.22/0.38 % (5538)------------------------------
% 0.22/0.38 % (5538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (5538)Termination reason: Unknown
% 0.22/0.38 % (5538)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (5538)Memory used [KB]: 1151
% 0.22/0.38 % (5538)Time elapsed: 0.005 s
% 0.22/0.38 % (5538)Instructions burned: 5 (million)
% 0.22/0.38 % (5538)------------------------------
% 0.22/0.38 % (5538)------------------------------
% 0.22/0.39 % (5545)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)
% 0.22/0.39 % (5542)Refutation not found, incomplete strategy
% 0.22/0.39 % (5542)------------------------------
% 0.22/0.39 % (5542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (5542)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (5543)Instruction limit reached!
% 0.22/0.39 % (5543)------------------------------
% 0.22/0.39 % (5543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (5543)Termination reason: Unknown
% 0.22/0.39 % (5543)Termination phase: Property scanning
% 0.22/0.39
% 0.22/0.39 % (5543)Memory used [KB]: 1151
% 0.22/0.39 % (5543)Time elapsed: 0.011 s
% 0.22/0.39 % (5543)Instructions burned: 18 (million)
% 0.22/0.39 % (5543)------------------------------
% 0.22/0.39 % (5543)------------------------------
% 0.22/0.39 % (5542)Memory used [KB]: 5628
% 0.22/0.39 % (5542)Time elapsed: 0.011 s
% 0.22/0.39 % (5542)Instructions burned: 14 (million)
% 0.22/0.39 % (5542)------------------------------
% 0.22/0.39 % (5542)------------------------------
% 0.22/0.39 % (5545)Instruction limit reached!
% 0.22/0.39 % (5545)------------------------------
% 0.22/0.39 % (5545)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (5545)Termination reason: Unknown
% 0.22/0.39 % (5545)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (5545)Memory used [KB]: 5884
% 0.22/0.39 % (5545)Time elapsed: 0.011 s
% 0.22/0.39 % (5545)Instructions burned: 37 (million)
% 0.22/0.39 % (5545)------------------------------
% 0.22/0.39 % (5545)------------------------------
% 0.22/0.40 % (5539)Instruction limit reached!
% 0.22/0.40 % (5539)------------------------------
% 0.22/0.40 % (5539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (5539)Termination reason: Unknown
% 0.22/0.40 % (5539)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (5539)Memory used [KB]: 5756
% 0.22/0.40 % (5539)Time elapsed: 0.016 s
% 0.22/0.40 % (5539)Instructions burned: 28 (million)
% 0.22/0.40 % (5539)------------------------------
% 0.22/0.40 % (5539)------------------------------
% 0.22/0.40 % (5546)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)
% 0.22/0.40 % (5547)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)
% 0.22/0.40 % (5548)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)
% 0.22/0.40 % (5547)Instruction limit reached!
% 0.22/0.40 % (5547)------------------------------
% 0.22/0.40 % (5547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (5547)Termination reason: Unknown
% 0.22/0.40 % (5547)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (5547)Memory used [KB]: 1023
% 0.22/0.40 % (5547)Time elapsed: 0.004 s
% 0.22/0.40 % (5547)Instructions burned: 4 (million)
% 0.22/0.40 % (5547)------------------------------
% 0.22/0.40 % (5547)------------------------------
% 0.22/0.40 % (5551)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)
% 0.22/0.40 % (5551)Instruction limit reached!
% 0.22/0.40 % (5551)------------------------------
% 0.22/0.40 % (5551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (5551)Termination reason: Unknown
% 0.22/0.40 % (5551)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (5551)Memory used [KB]: 1023
% 0.22/0.40 % (5551)Time elapsed: 0.003 s
% 0.22/0.40 % (5551)Instructions burned: 4 (million)
% 0.22/0.40 % (5551)------------------------------
% 0.22/0.40 % (5551)------------------------------
% 0.22/0.41 % (5549)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)
% 0.22/0.41 % (5550)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)
% 0.22/0.41 % (5546)Instruction limit reached!
% 0.22/0.41 % (5546)------------------------------
% 0.22/0.41 % (5546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (5546)Termination reason: Unknown
% 0.22/0.41 % (5546)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (5546)Memory used [KB]: 1151
% 0.22/0.41 % (5546)Time elapsed: 0.010 s
% 0.22/0.41 % (5546)Instructions burned: 16 (million)
% 0.22/0.41 % (5546)------------------------------
% 0.22/0.41 % (5546)------------------------------
% 0.22/0.41 % (5549)Instruction limit reached!
% 0.22/0.41 % (5549)------------------------------
% 0.22/0.41 % (5549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (5549)Termination reason: Unknown
% 0.22/0.41 % (5549)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (5549)Memory used [KB]: 1151
% 0.22/0.41 % (5549)Time elapsed: 0.006 s
% 0.22/0.41 % (5549)Instructions burned: 8 (million)
% 0.22/0.41 % (5549)------------------------------
% 0.22/0.41 % (5549)------------------------------
% 0.22/0.41 % (5552)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)
% 0.22/0.41 % (5554)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)
% 0.22/0.41 % (5552)Instruction limit reached!
% 0.22/0.41 % (5552)------------------------------
% 0.22/0.41 % (5552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (5552)Termination reason: Unknown
% 0.22/0.41 % (5552)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (5552)Memory used [KB]: 1023
% 0.22/0.41 % (5552)Time elapsed: 0.004 s
% 0.22/0.41 % (5552)Instructions burned: 3 (million)
% 0.22/0.41 % (5552)------------------------------
% 0.22/0.41 % (5552)------------------------------
% 0.22/0.41 % (5554)Instruction limit reached!
% 0.22/0.41 % (5554)------------------------------
% 0.22/0.41 % (5554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (5554)Termination reason: Unknown
% 0.22/0.41 % (5554)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (5554)Memory used [KB]: 1151
% 0.22/0.41 % (5554)Time elapsed: 0.003 s
% 0.22/0.41 % (5554)Instructions burned: 6 (million)
% 0.22/0.41 % (5554)------------------------------
% 0.22/0.41 % (5554)------------------------------
% 0.22/0.41 % (5550)Instruction limit reached!
% 0.22/0.41 % (5550)------------------------------
% 0.22/0.41 % (5550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (5550)Termination reason: Unknown
% 0.22/0.41 % (5550)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (5550)Memory used [KB]: 1151
% 0.22/0.41 % (5550)Time elapsed: 0.010 s
% 0.22/0.41 % (5550)Instructions burned: 16 (million)
% 0.22/0.41 % (5550)------------------------------
% 0.22/0.41 % (5550)------------------------------
% 0.22/0.42 % (5553)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)
% 0.22/0.42 % (5553)Instruction limit reached!
% 0.22/0.42 % (5553)------------------------------
% 0.22/0.42 % (5553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (5553)Termination reason: Unknown
% 0.22/0.42 % (5553)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (5553)Memory used [KB]: 1151
% 0.22/0.42 % (5553)Time elapsed: 0.006 s
% 0.22/0.42 % (5553)Instructions burned: 8 (million)
% 0.22/0.42 % (5553)------------------------------
% 0.22/0.42 % (5553)------------------------------
% 0.22/0.42 % (5558)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.42 % (5555)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)
% 0.22/0.42 % (5558)Instruction limit reached!
% 0.22/0.42 % (5558)------------------------------
% 0.22/0.42 % (5558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (5558)Termination reason: Unknown
% 0.22/0.42 % (5558)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (5558)Memory used [KB]: 1151
% 0.22/0.42 % (5558)Time elapsed: 0.003 s
% 0.22/0.42 % (5558)Instructions burned: 6 (million)
% 0.22/0.42 % (5558)------------------------------
% 0.22/0.42 % (5558)------------------------------
% 0.22/0.42 % (5555)Instruction limit reached!
% 0.22/0.42 % (5555)------------------------------
% 0.22/0.42 % (5555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (5555)Termination reason: Unknown
% 0.22/0.42 % (5555)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (5555)Memory used [KB]: 1023
% 0.22/0.42 % (5555)Time elapsed: 0.004 s
% 0.22/0.42 % (5555)Instructions burned: 4 (million)
% 0.22/0.42 % (5555)------------------------------
% 0.22/0.42 % (5555)------------------------------
% 0.22/0.42 % (5556)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)
% 0.22/0.43 % (5537)First to succeed.
% 0.22/0.43 % (5557)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)
% 0.22/0.43 % (5559)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.22/0.43 % (5561)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.43 % (5537)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% 0.22/0.43 thf(type_def_5, type, mu: $tType).
% 0.22/0.43 thf(func_def_0, type, mu: $tType).
% 0.22/0.43 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.43 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.43 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.43 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_33, type, a1: $i > $i > $o).
% 0.22/0.43 thf(func_def_34, type, a2: $i > $i > $o).
% 0.22/0.43 thf(func_def_35, type, a3: $i > $i > $o).
% 0.22/0.43 thf(func_def_36, type, jan: mu).
% 0.22/0.43 thf(func_def_37, type, piotr: mu).
% 0.22/0.43 thf(func_def_38, type, cola: mu).
% 0.22/0.43 thf(func_def_39, type, pepsi: mu).
% 0.22/0.43 thf(func_def_40, type, beer: mu).
% 0.22/0.43 thf(func_def_41, type, likes: mu > mu > $i > $o).
% 0.22/0.43 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
% 0.22/0.43 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
% 0.22/0.43 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_62, type, sK1: $i > $i).
% 0.22/0.43 thf(func_def_63, type, sK2: $i > $i).
% 0.22/0.43 thf(func_def_64, type, sK3: mu > $i > mu > $i).
% 0.22/0.43 thf(func_def_65, type, sK4: mu > $i > mu > $i).
% 0.22/0.43 thf(func_def_66, type, sK5: mu > $i > mu > $i).
% 0.22/0.43 thf(func_def_68, type, sK7: $i > $i).
% 0.22/0.43 thf(func_def_69, type, sK8: $i > $i).
% 0.22/0.43 thf(func_def_70, type, sK9: $i > $i).
% 0.22/0.43 thf(func_def_71, type, sK10: mu > $i > mu > $i).
% 0.22/0.43 thf(f844,plain,(
% 0.22/0.43 $false),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f830])).
% 0.22/0.43 thf(f830,plain,(
% 0.22/0.43 ($true = $false)),
% 0.22/0.43 inference(superposition,[],[f778,f477])).
% 0.22/0.43 thf(f477,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (((a1 @ X1 @ (sK7 @ X1)) = $true)) )),
% 0.22/0.43 inference(not_proxy_clausification,[],[f474])).
% 0.22/0.43 thf(f474,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (((~ (a1 @ X1 @ (sK7 @ X1))) = $false)) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f473])).
% 0.22/0.43 thf(f473,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($false = ((~ (likes @ piotr @ beer @ (sK7 @ X1))) | (~ (a1 @ X1 @ (sK7 @ X1)))))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f472])).
% 0.22/0.43 thf(f472,plain,(
% 0.22/0.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0)))) @ (sK7 @ X1)) = $false)) )),
% 0.22/0.43 inference(sigma_clausification,[],[f471])).
% 0.22/0.43 thf(f471,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0))))) = $false)) )),
% 0.22/0.43 inference(not_proxy_clausification,[],[f470])).
% 0.22/0.43 thf(f470,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ piotr @ beer @ Y0)) | (~ (a1 @ X1 @ Y0)))))))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f469])).
% 0.22/0.43 thf(f469,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ beer @ Y1)) | (~ (a1 @ Y0 @ Y1))))))) @ X1))) )),
% 0.22/0.43 inference(pi_clausification,[],[f468])).
% 0.22/0.43 thf(f468,plain,(
% 0.22/0.43 ($true = (!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (likes @ piotr @ beer @ Y1)) | (~ (a1 @ Y0 @ Y1)))))))))),
% 0.22/0.43 inference(beta_eta_normalization,[],[f330])).
% 0.22/0.43 thf(f330,plain,(
% 0.22/0.43 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ a1 @ (likes @ piotr @ beer))) = $true)),
% 0.22/0.43 inference(definition_unfolding,[],[f272,f277,f300])).
% 0.22/0.43 thf(f300,plain,(
% 0.22/0.43 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.22/0.43 inference(definition_unfolding,[],[f278,f258,f261,f258])).
% 0.22/0.43 thf(f261,plain,(
% 0.22/0.43 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f81])).
% 0.22/0.43 thf(f81,plain,(
% 0.22/0.43 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f80])).
% 0.22/0.43 thf(f80,plain,(
% 0.22/0.43 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 0.22/0.43 inference(rectify,[],[f16])).
% 0.22/0.43 thf(f16,axiom,(
% 0.22/0.43 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',mbox)).
% 0.22/0.43 thf(f258,plain,(
% 0.22/0.43 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f135])).
% 0.22/0.43 thf(f135,plain,(
% 0.22/0.43 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.43 inference(fool_elimination,[],[f134])).
% 0.22/0.43 thf(f134,plain,(
% 0.22/0.43 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.22/0.43 inference(rectify,[],[f3])).
% 0.22/0.43 thf(f3,axiom,(
% 0.22/0.43 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',mnot)).
% 0.22/0.43 thf(f278,plain,(
% 0.22/0.43 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f208])).
% 0.22/0.43 thf(f208,plain,(
% 0.22/0.43 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.22/0.43 inference(fool_elimination,[],[f207])).
% 0.22/0.43 thf(f207,plain,(
% 0.22/0.43 (mdia = (^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))))),
% 0.22/0.43 inference(rectify,[],[f17])).
% 0.22/0.43 thf(f17,axiom,(
% 0.22/0.43 (mdia = (^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',mdia)).
% 0.22/0.43 thf(f277,plain,(
% 0.22/0.43 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.43 inference(cnf_transformation,[],[f111])).
% 0.22/0.43 thf(f111,plain,(
% 0.22/0.43 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.43 inference(fool_elimination,[],[f110])).
% 0.22/0.43 thf(f110,plain,(
% 0.22/0.43 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.22/0.43 inference(rectify,[],[f28])).
% 0.22/0.43 thf(f28,axiom,(
% 0.22/0.43 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',mvalid)).
% 0.22/0.43 thf(f272,plain,(
% 0.22/0.43 ((mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))) = $true)),
% 0.22/0.43 inference(cnf_transformation,[],[f152])).
% 0.22/0.43 thf(f152,plain,(
% 0.22/0.43 ((mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))) = $true)),
% 0.22/0.43 inference(fool_elimination,[],[f151])).
% 0.22/0.43 thf(f151,plain,(
% 0.22/0.43 (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer)))),
% 0.22/0.43 inference(rectify,[],[f43])).
% 0.22/0.43 thf(f43,axiom,(
% 0.22/0.43 (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer)))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',axiom_a3_3)).
% 0.22/0.43 thf(f778,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (((a1 @ sK6 @ (sK7 @ X0)) = $false)) )),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f767])).
% 0.22/0.43 thf(f767,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (((a1 @ sK6 @ (sK7 @ X0)) = $false) | ($true = $false)) )),
% 0.22/0.43 inference(superposition,[],[f691,f753])).
% 0.22/0.43 thf(f753,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (((a3 @ sK6 @ (sK7 @ X0)) = $false)) )),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f749])).
% 0.22/0.43 thf(f749,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true = $false) | ((a3 @ sK6 @ (sK7 @ X0)) = $false)) )),
% 0.22/0.43 inference(superposition,[],[f476,f745])).
% 0.22/0.43 thf(f745,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($false = (likes @ piotr @ beer @ X0)) | ((a3 @ sK6 @ X0) = $false)) )),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f743])).
% 0.22/0.43 thf(f743,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true = $false) | ((a3 @ sK6 @ X0) = $false) | ($false = (likes @ piotr @ beer @ X0))) )),
% 0.22/0.43 inference(superposition,[],[f458,f456])).
% 0.22/0.43 thf(f456,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ((a3 @ X1 @ X4) = $false) | ((likes @ X2 @ X3 @ X4) = $false)) )),
% 0.22/0.43 inference(not_proxy_clausification,[],[f455])).
% 0.22/0.43 thf(f455,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((likes @ X2 @ X3 @ X4) = $false) | ($true = (~ (a3 @ X1 @ X4))) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.43 inference(not_proxy_clausification,[],[f454])).
% 0.22/0.43 thf(f454,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ($true = (~ (likes @ X2 @ X3 @ X4))) | ($true = (~ (a3 @ X1 @ X4)))) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f453])).
% 0.22/0.43 thf(f453,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | (((~ (likes @ X2 @ X3 @ X4)) | (~ (a3 @ X1 @ X4))) = $true)) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f452])).
% 0.22/0.43 thf(f452,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ($true = ((^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0)))) @ X4))) )),
% 0.22/0.43 inference(pi_clausification,[],[f451])).
% 0.22/0.43 thf(f451,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0))))))) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f450])).
% 0.22/0.43 thf(f450,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0))))) | (possibly_likes @ X2 @ X3 @ X1)))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f449])).
% 0.22/0.43 thf(f449,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1))) @ X3))) )),
% 0.22/0.43 inference(pi_clausification,[],[f448])).
% 0.22/0.43 thf(f448,plain,(
% 0.22/0.43 ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1)))) = $true)) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f447])).
% 0.22/0.43 thf(f447,plain,(
% 0.22/0.43 ( ! [X2 : mu,X1 : $i] : ((((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1))))) @ X2) = $true)) )),
% 0.22/0.43 inference(pi_clausification,[],[f446])).
% 0.22/0.43 thf(f446,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1)))))))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f445])).
% 0.22/0.43 thf(f445,plain,(
% 0.22/0.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0))))))) @ X1) = $true)) )),
% 0.22/0.43 inference(pi_clausification,[],[f444])).
% 0.22/0.43 thf(f444,plain,(
% 0.22/0.43 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))))),
% 0.22/0.43 inference(boolean_simplification,[],[f443])).
% 0.22/0.43 thf(f443,plain,(
% 0.22/0.43 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))))),
% 0.22/0.43 inference(beta_eta_normalization,[],[f335])).
% 0.22/0.43 thf(f335,plain,(
% 0.22/0.43 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7) | (~ (Y4 @ Y6 @ Y7)))))))))) @ Y2 @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)),
% 0.22/0.43 inference(definition_unfolding,[],[f282,f277,f257,f257,f293,f300])).
% 0.22/0.43 thf(f293,plain,(
% 0.22/0.43 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.22/0.43 inference(definition_unfolding,[],[f242,f228,f258])).
% 0.22/0.43 thf(f228,plain,(
% 0.22/0.43 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f210])).
% 0.22/0.43 thf(f210,plain,(
% 0.22/0.43 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f209])).
% 0.22/0.43 thf(f209,plain,(
% 0.22/0.43 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.22/0.43 inference(rectify,[],[f4])).
% 0.22/0.43 thf(f4,axiom,(
% 0.22/0.43 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',mor)).
% 0.22/0.43 thf(f242,plain,(
% 0.22/0.43 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.43 inference(cnf_transformation,[],[f83])).
% 0.22/0.43 thf(f83,plain,(
% 0.22/0.43 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.43 inference(fool_elimination,[],[f82])).
% 0.22/0.43 thf(f82,plain,(
% 0.22/0.43 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.22/0.43 inference(rectify,[],[f6])).
% 0.22/0.43 thf(f6,axiom,(
% 0.22/0.43 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',mimplies)).
% 0.22/0.43 thf(f257,plain,(
% 0.22/0.43 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f170])).
% 0.22/0.43 thf(f170,plain,(
% 0.22/0.43 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.43 inference(fool_elimination,[],[f169])).
% 0.22/0.43 thf(f169,plain,(
% 0.22/0.43 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
% 0.22/0.43 inference(rectify,[],[f10])).
% 0.22/0.43 thf(f10,axiom,(
% 0.22/0.43 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',mforall_ind)).
% 0.22/0.43 thf(f282,plain,(
% 0.22/0.43 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f115])).
% 0.22/0.43 thf(f115,plain,(
% 0.22/0.43 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a3 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f114])).
% 0.22/0.43 thf(f114,plain,(
% 0.22/0.43 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.22/0.43 inference(rectify,[],[f49])).
% 0.22/0.43 thf(f49,axiom,(
% 0.22/0.43 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a3 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',axiom_user_communication_5)).
% 0.22/0.43 thf(f458,plain,(
% 0.22/0.43 ((possibly_likes @ piotr @ beer @ sK6) = $false)),
% 0.22/0.43 inference(sigma_clausification,[],[f457])).
% 0.22/0.43 thf(f457,plain,(
% 0.22/0.43 ($true != (!! @ $i @ (possibly_likes @ piotr @ beer)))),
% 0.22/0.43 inference(beta_eta_normalization,[],[f322])).
% 0.22/0.43 thf(f322,plain,(
% 0.22/0.43 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (possibly_likes @ piotr @ beer)))),
% 0.22/0.43 inference(definition_unfolding,[],[f253,f277])).
% 0.22/0.43 thf(f253,plain,(
% 0.22/0.43 ((mvalid @ (possibly_likes @ piotr @ beer)) != $true)),
% 0.22/0.43 inference(cnf_transformation,[],[f218])).
% 0.22/0.43 thf(f218,plain,(
% 0.22/0.43 ((mvalid @ (possibly_likes @ piotr @ beer)) != $true)),
% 0.22/0.43 inference(flattening,[],[f97])).
% 0.22/0.43 thf(f97,plain,(
% 0.22/0.43 ~((mvalid @ (possibly_likes @ piotr @ beer)) = $true)),
% 0.22/0.43 inference(fool_elimination,[],[f96])).
% 0.22/0.43 thf(f96,plain,(
% 0.22/0.43 ~(mvalid @ (possibly_likes @ piotr @ beer))),
% 0.22/0.43 inference(rectify,[],[f74])).
% 0.22/0.43 thf(f74,negated_conjecture,(
% 0.22/0.43 ~(mvalid @ (possibly_likes @ piotr @ beer))),
% 0.22/0.43 inference(negated_conjecture,[],[f73])).
% 0.22/0.43 thf(f73,conjecture,(
% 0.22/0.43 (mvalid @ (possibly_likes @ piotr @ beer))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',conj)).
% 0.22/0.43 thf(f476,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = (likes @ piotr @ beer @ (sK7 @ X1)))) )),
% 0.22/0.43 inference(not_proxy_clausification,[],[f475])).
% 0.22/0.43 thf(f475,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (((~ (likes @ piotr @ beer @ (sK7 @ X1))) = $false)) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f473])).
% 0.22/0.43 thf(f691,plain,(
% 0.22/0.43 ( ! [X2 : $i,X1 : $i] : (((a3 @ X2 @ X1) = $true) | ((a1 @ X2 @ X1) = $false)) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f690])).
% 0.22/0.43 thf(f690,plain,(
% 0.22/0.43 ( ! [X2 : $i,X1 : $i] : (($true = ((a1 @ X2 @ X1) => (a3 @ X2 @ X1)))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f689])).
% 0.22/0.43 thf(f689,plain,(
% 0.22/0.43 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((a1 @ Y0 @ X1) => (a3 @ Y0 @ X1))) @ X2))) )),
% 0.22/0.43 inference(pi_clausification,[],[f688])).
% 0.22/0.43 thf(f688,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((a1 @ Y0 @ X1) => (a3 @ Y0 @ X1)))))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f687])).
% 0.22/0.43 thf(f687,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a1 @ Y1 @ Y0) => (a3 @ Y1 @ Y0))))) @ X1))) )),
% 0.22/0.43 inference(pi_clausification,[],[f686])).
% 0.22/0.43 thf(f686,plain,(
% 0.22/0.43 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a1 @ Y1 @ Y0) => (a3 @ Y1 @ Y0)))))))),
% 0.22/0.43 inference(beta_eta_normalization,[],[f338])).
% 0.22/0.43 thf(f338,plain,(
% 0.22/0.43 ($true = ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))) @ a1 @ a3))),
% 0.22/0.43 inference(definition_unfolding,[],[f289,f266])).
% 0.22/0.43 thf(f266,plain,(
% 0.22/0.43 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f214])).
% 0.22/0.43 thf(f214,plain,(
% 0.22/0.43 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f213])).
% 0.22/0.43 thf(f213,plain,(
% 0.22/0.43 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))),
% 0.22/0.43 inference(rectify,[],[f56])).
% 0.22/0.43 thf(f56,axiom,(
% 0.22/0.43 (subrel = (^[X11 : $i > $i > $o, X12 : $i > $i > $o] : (! [X0,X1] : ((X11 @ X0 @ X1) => (X12 @ X0 @ X1)))))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',subrel_def)).
% 0.22/0.43 thf(f289,plain,(
% 0.22/0.43 ((subrel @ a1 @ a3) = $true)),
% 0.22/0.43 inference(cnf_transformation,[],[f101])).
% 0.22/0.43 thf(f101,plain,(
% 0.22/0.43 ((subrel @ a1 @ a3) = $true)),
% 0.22/0.43 inference(fool_elimination,[],[f100])).
% 0.22/0.43 thf(f100,plain,(
% 0.22/0.43 (subrel @ a1 @ a3)),
% 0.22/0.43 inference(rectify,[],[f58])).
% 0.22/0.43 thf(f58,axiom,(
% 0.22/0.43 (subrel @ a1 @ a3)),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.hdFYeWjZXz/Vampire---4.8_5277',axiom_I_a1_a3)).
% 0.22/0.43 % SZS output end Proof for Vampire---4
% 0.22/0.43 % (5537)------------------------------
% 0.22/0.43 % (5537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (5537)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (5537)Memory used [KB]: 6268
% 0.22/0.43 % (5537)Time elapsed: 0.049 s
% 0.22/0.43 % (5537)Instructions burned: 80 (million)
% 0.22/0.43 % (5537)------------------------------
% 0.22/0.43 % (5537)------------------------------
% 0.22/0.43 % (5536)Success in time 0.048 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------