TSTP Solution File: NLP266^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NLP266^4 : TPTP v8.1.2. Released v8.1.0.
% 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 : n007.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 08:05:11 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NLP266^4 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.15 % 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
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 12:40:50 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 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.6vuBmrXuqq/Vampire---4.8_21576
% 0.22/0.39 % (21825)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)
% 0.22/0.39 % (21824)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)
% 0.22/0.39 % (21826)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.39 % (21827)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)
% 0.22/0.39 % (21828)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)
% 0.22/0.39 % (21829)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.39 % (21823)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)
% 0.22/0.39 % (21830)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)
% 0.22/0.39 % (21826)Instruction limit reached!
% 0.22/0.39 % (21826)------------------------------
% 0.22/0.39 % (21826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21826)Termination reason: Unknown
% 0.22/0.39 % (21826)Termination phase: Property scanning
% 0.22/0.39
% 0.22/0.39 % (21827)Instruction limit reached!
% 0.22/0.39 % (21827)------------------------------
% 0.22/0.39 % (21827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21827)Termination reason: Unknown
% 0.22/0.39 % (21827)Termination phase: Property scanning
% 0.22/0.39
% 0.22/0.39 % (21827)Memory used [KB]: 1023
% 0.22/0.39 % (21827)Time elapsed: 0.004 s
% 0.22/0.39 % (21827)Instructions burned: 3 (million)
% 0.22/0.39 % (21827)------------------------------
% 0.22/0.39 % (21827)------------------------------
% 0.22/0.39 % (21826)Memory used [KB]: 1023
% 0.22/0.39 % (21826)Time elapsed: 0.004 s
% 0.22/0.39 % (21826)Instructions burned: 3 (million)
% 0.22/0.39 % (21826)------------------------------
% 0.22/0.39 % (21826)------------------------------
% 0.22/0.39 % (21830)Instruction limit reached!
% 0.22/0.39 % (21830)------------------------------
% 0.22/0.39 % (21830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21830)Termination reason: Unknown
% 0.22/0.39 % (21830)Termination phase: Property scanning
% 0.22/0.39
% 0.22/0.39 % (21830)Memory used [KB]: 1023
% 0.22/0.39 % (21830)Time elapsed: 0.004 s
% 0.22/0.39 % (21830)Instructions burned: 3 (million)
% 0.22/0.39 % (21830)------------------------------
% 0.22/0.39 % (21830)------------------------------
% 0.22/0.39 % (21824)Instruction limit reached!
% 0.22/0.39 % (21824)------------------------------
% 0.22/0.39 % (21824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21824)Termination reason: Unknown
% 0.22/0.39 % (21824)Termination phase: Property scanning
% 0.22/0.39
% 0.22/0.39 % (21824)Memory used [KB]: 1023
% 0.22/0.39 % (21824)Time elapsed: 0.004 s
% 0.22/0.39 % (21824)Instructions burned: 5 (million)
% 0.22/0.39 % (21824)------------------------------
% 0.22/0.39 % (21824)------------------------------
% 0.22/0.39 % (21828)Refutation not found, incomplete strategy
% 0.22/0.39 % (21828)------------------------------
% 0.22/0.39 % (21828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (21828)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (21828)Memory used [KB]: 5500
% 0.22/0.39 % (21828)Time elapsed: 0.005 s
% 0.22/0.39 % (21828)Instructions burned: 5 (million)
% 0.22/0.39 % (21828)------------------------------
% 0.22/0.39 % (21828)------------------------------
% 0.22/0.40 % (21829)Instruction limit reached!
% 0.22/0.40 % (21829)------------------------------
% 0.22/0.40 % (21829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (21829)Termination reason: Unknown
% 0.22/0.40 % (21829)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (21829)Memory used [KB]: 5628
% 0.22/0.40 % (21829)Time elapsed: 0.012 s
% 0.22/0.40 % (21829)Instructions burned: 18 (million)
% 0.22/0.40 % (21829)------------------------------
% 0.22/0.40 % (21829)------------------------------
% 0.22/0.40 % (21825)Instruction limit reached!
% 0.22/0.40 % (21825)------------------------------
% 0.22/0.40 % (21825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (21825)Termination reason: Unknown
% 0.22/0.40 % (21825)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (21825)Memory used [KB]: 5756
% 0.22/0.40 % (21825)Time elapsed: 0.018 s
% 0.22/0.40 % (21825)Instructions burned: 27 (million)
% 0.22/0.40 % (21825)------------------------------
% 0.22/0.40 % (21825)------------------------------
% 0.22/0.41 % (21831)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)
% 0.22/0.41 % (21832)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)
% 0.22/0.41 % (21833)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)
% 0.22/0.41 % (21834)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)
% 0.22/0.41 % (21833)Instruction limit reached!
% 0.22/0.41 % (21833)------------------------------
% 0.22/0.41 % (21833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (21833)Termination reason: Unknown
% 0.22/0.41 % (21833)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (21833)Memory used [KB]: 1023
% 0.22/0.41 % (21833)Time elapsed: 0.004 s
% 0.22/0.41 % (21833)Instructions burned: 4 (million)
% 0.22/0.41 % (21833)------------------------------
% 0.22/0.41 % (21833)------------------------------
% 0.22/0.41 % (21835)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 % (21835)Instruction limit reached!
% 0.22/0.41 % (21835)------------------------------
% 0.22/0.41 % (21835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (21835)Termination reason: Unknown
% 0.22/0.41 % (21835)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (21835)Memory used [KB]: 1023
% 0.22/0.41 % (21835)Time elapsed: 0.005 s
% 0.22/0.41 % (21835)Instructions burned: 7 (million)
% 0.22/0.41 % (21835)------------------------------
% 0.22/0.41 % (21835)------------------------------
% 0.22/0.41 % (21832)Instruction limit reached!
% 0.22/0.41 % (21832)------------------------------
% 0.22/0.41 % (21832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (21832)Termination reason: Unknown
% 0.22/0.41 % (21832)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (21832)Memory used [KB]: 5628
% 0.22/0.41 % (21832)Time elapsed: 0.010 s
% 0.22/0.41 % (21832)Instructions burned: 15 (million)
% 0.22/0.41 % (21832)------------------------------
% 0.22/0.41 % (21832)------------------------------
% 0.22/0.41 % (21836)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)
% 0.22/0.42 % (21837)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)
% 0.22/0.42 % (21837)Instruction limit reached!
% 0.22/0.42 % (21837)------------------------------
% 0.22/0.42 % (21837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (21837)Termination reason: Unknown
% 0.22/0.42 % (21837)Termination phase: SInE selection
% 0.22/0.42
% 0.22/0.42 % (21837)Memory used [KB]: 1023
% 0.22/0.42 % (21837)Time elapsed: 0.004 s
% 0.22/0.42 % (21837)Instructions burned: 4 (million)
% 0.22/0.42 % (21837)------------------------------
% 0.22/0.42 % (21837)------------------------------
% 0.22/0.42 % (21838)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)
% 0.22/0.42 % (21836)Instruction limit reached!
% 0.22/0.42 % (21836)------------------------------
% 0.22/0.42 % (21836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (21836)Termination reason: Unknown
% 0.22/0.42 % (21836)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (21836)Memory used [KB]: 5628
% 0.22/0.42 % (21836)Time elapsed: 0.011 s
% 0.22/0.42 % (21836)Instructions burned: 16 (million)
% 0.22/0.42 % (21836)------------------------------
% 0.22/0.42 % (21836)------------------------------
% 0.22/0.42 % (21838)Instruction limit reached!
% 0.22/0.42 % (21838)------------------------------
% 0.22/0.42 % (21838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (21838)Termination reason: Unknown
% 0.22/0.42 % (21838)Termination phase: Preprocessing 1
% 0.22/0.42
% 0.22/0.42 % (21838)Memory used [KB]: 1023
% 0.22/0.42 % (21838)Time elapsed: 0.004 s
% 0.22/0.42 % (21838)Instructions burned: 4 (million)
% 0.22/0.42 % (21838)------------------------------
% 0.22/0.42 % (21838)------------------------------
% 0.22/0.43 % (21831)Instruction limit reached!
% 0.22/0.43 % (21831)------------------------------
% 0.22/0.43 % (21831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (21831)Termination reason: Unknown
% 0.22/0.43 % (21839)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)
% 0.22/0.43 % (21831)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (21831)Memory used [KB]: 5884
% 0.22/0.43 % (21831)Time elapsed: 0.044 s
% 0.22/0.43 % (21831)Instructions burned: 38 (million)
% 0.22/0.43 % (21831)------------------------------
% 0.22/0.43 % (21831)------------------------------
% 0.22/0.43 % (21840)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)
% 0.22/0.43 % (21840)Instruction limit reached!
% 0.22/0.43 % (21840)------------------------------
% 0.22/0.43 % (21840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (21839)Instruction limit reached!
% 0.22/0.43 % (21839)------------------------------
% 0.22/0.43 % (21839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (21839)Termination reason: Unknown
% 0.22/0.43 % (21839)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (21839)Memory used [KB]: 5500
% 0.22/0.43 % (21839)Time elapsed: 0.006 s
% 0.22/0.43 % (21839)Instructions burned: 8 (million)
% 0.22/0.43 % (21839)------------------------------
% 0.22/0.43 % (21839)------------------------------
% 0.22/0.43 % (21840)Termination reason: Unknown
% 0.22/0.43 % (21840)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (21840)Memory used [KB]: 1023
% 0.22/0.43 % (21840)Time elapsed: 0.004 s
% 0.22/0.43 % (21840)Instructions burned: 4 (million)
% 0.22/0.43 % (21840)------------------------------
% 0.22/0.43 % (21840)------------------------------
% 0.22/0.44 % (21841)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)
% 0.22/0.44 % (21842)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)
% 0.22/0.44 % (21841)Instruction limit reached!
% 0.22/0.44 % (21841)------------------------------
% 0.22/0.44 % (21841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (21841)Termination reason: Unknown
% 0.22/0.44 % (21841)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (21841)Memory used [KB]: 1023
% 0.22/0.44 % (21841)Time elapsed: 0.004 s
% 0.22/0.44 % (21841)Instructions burned: 4 (million)
% 0.22/0.44 % (21841)------------------------------
% 0.22/0.44 % (21841)------------------------------
% 0.22/0.44 % (21843)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)
% 0.22/0.44 % (21823)First to succeed.
% 0.22/0.44 % (21844)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.44 % (21845)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)
% 0.22/0.45 % (21844)Instruction limit reached!
% 0.22/0.45 % (21844)------------------------------
% 0.22/0.45 % (21844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (21844)Termination reason: Unknown
% 0.22/0.45 % (21844)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (21844)Memory used [KB]: 1023
% 0.22/0.45 % (21844)Time elapsed: 0.005 s
% 0.22/0.45 % (21844)Instructions burned: 6 (million)
% 0.22/0.45 % (21844)------------------------------
% 0.22/0.45 % (21844)------------------------------
% 0.22/0.45 % (21846)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.22/0.45 % (21845)Refutation not found, incomplete strategy
% 0.22/0.45 % (21845)------------------------------
% 0.22/0.45 % (21845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (21845)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (21845)Memory used [KB]: 5500
% 0.22/0.45 % (21845)Time elapsed: 0.005 s
% 0.22/0.45 % (21845)Instructions burned: 5 (million)
% 0.22/0.45 % (21845)------------------------------
% 0.22/0.45 % (21845)------------------------------
% 0.22/0.45 % (21842)Instruction limit reached!
% 0.22/0.45 % (21842)------------------------------
% 0.22/0.45 % (21842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (21842)Termination reason: Unknown
% 0.22/0.45 % (21842)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (21842)Memory used [KB]: 5628
% 0.22/0.45 % (21842)Time elapsed: 0.015 s
% 0.22/0.45 % (21842)Instructions burned: 19 (million)
% 0.22/0.45 % (21842)------------------------------
% 0.22/0.45 % (21842)------------------------------
% 0.22/0.45 % (21849)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.46 % (21849)Instruction limit reached!
% 0.22/0.46 % (21849)------------------------------
% 0.22/0.46 % (21849)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (21849)Termination reason: Unknown
% 0.22/0.46 % (21849)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (21849)Memory used [KB]: 1023
% 0.22/0.46 % (21849)Time elapsed: 0.005 s
% 0.22/0.46 % (21849)Instructions burned: 6 (million)
% 0.22/0.46 % (21849)------------------------------
% 0.22/0.46 % (21849)------------------------------
% 0.22/0.46 % (21823)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for Vampire---4
% 0.22/0.46 % SZS output start Proof for Vampire---4
% 0.22/0.46 thf(type_def_5, type, mworld: $tType).
% 0.22/0.46 thf(func_def_0, type, mworld: $tType).
% 0.22/0.46 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.22/0.46 thf(func_def_2, type, mactual: mworld).
% 0.22/0.46 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.22/0.46 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.22/0.46 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.46 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.46 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.46 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.46 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.22/0.46 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.22/0.46 thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.22/0.46 thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.22/0.46 thf(func_def_16, type, number: $i > $i > mworld > $o).
% 0.22/0.46 thf(func_def_17, type, string: $i > mworld > $o).
% 0.22/0.46 thf(func_def_18, type, in: $i > $i > $i > mworld > $o).
% 0.22/0.46 thf(func_def_19, type, do: $i > $i > $i > mworld > $o).
% 0.22/0.46 thf(func_def_20, type, entry_box: $i > mworld > $o).
% 0.22/0.46 thf(func_def_21, type, userid: $i > $i > mworld > $o).
% 0.22/0.46 thf(func_def_41, type, sK1: mworld).
% 0.22/0.46 thf(func_def_42, type, sK2: $i > $i > mworld).
% 0.22/0.46 thf(func_def_43, type, sK3: $i > $i > $i > $i > mworld).
% 0.22/0.46 thf(func_def_44, type, sK4: $i > $i > $i > $i > $i).
% 0.22/0.46 thf(func_def_45, type, sK5: $i > $i > $i > $i > mworld).
% 0.22/0.46 thf(func_def_46, type, sK6: $i > $i > $i > $i > $i).
% 0.22/0.46 thf(func_def_47, type, sK7: mworld > $i > $i > $i > $i).
% 0.22/0.46 thf(func_def_48, type, sK8: mworld > $i).
% 0.22/0.46 thf(f396,plain,(
% 0.22/0.46 $false),
% 0.22/0.46 inference(avatar_sat_refutation,[],[f200,f253,f262,f284,f307,f328,f362,f373,f383,f395])).
% 0.22/0.46 thf(f395,plain,(
% 0.22/0.46 ~spl0_8),
% 0.22/0.46 inference(avatar_contradiction_clause,[],[f394])).
% 0.22/0.46 thf(f394,plain,(
% 0.22/0.46 $false | ~spl0_8),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f386])).
% 0.22/0.46 thf(f386,plain,(
% 0.22/0.46 ($true = $false) | ~spl0_8),
% 0.22/0.46 inference(superposition,[],[f302,f58])).
% 0.22/0.46 thf(f58,plain,(
% 0.22/0.46 ( ! [X0 : mworld] : (((mrel @ X0 @ X0) = $true)) )),
% 0.22/0.46 inference(cnf_transformation,[],[f39])).
% 0.22/0.46 thf(f39,plain,(
% 0.22/0.46 ! [X0 : mworld] : ((mrel @ X0 @ X0) = $true)),
% 0.22/0.46 inference(fool_elimination,[],[f38])).
% 0.22/0.46 thf(f38,plain,(
% 0.22/0.46 ! [X0 : mworld] : (mrel @ X0 @ X0)),
% 0.22/0.46 inference(rectify,[],[f9])).
% 0.22/0.46 thf(f9,axiom,(
% 0.22/0.46 ! [X2 : mworld] : (mrel @ X2 @ X2)),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',mrel_reflexive)).
% 0.22/0.46 thf(f302,plain,(
% 0.22/0.46 ((mrel @ mactual @ mactual) = $false) | ~spl0_8),
% 0.22/0.46 inference(avatar_component_clause,[],[f300])).
% 0.22/0.46 thf(f300,plain,(
% 0.22/0.46 spl0_8 <=> ((mrel @ mactual @ mactual) = $false)),
% 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.22/0.46 thf(f383,plain,(
% 0.22/0.46 ~spl0_4),
% 0.22/0.46 inference(avatar_contradiction_clause,[],[f382])).
% 0.22/0.46 thf(f382,plain,(
% 0.22/0.46 $false | ~spl0_4),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f374])).
% 0.22/0.46 thf(f374,plain,(
% 0.22/0.46 ($true = $false) | ~spl0_4),
% 0.22/0.46 inference(superposition,[],[f279,f155])).
% 0.22/0.46 thf(f155,plain,(
% 0.22/0.46 ((entry_box @ sK9 @ sK1) = $true)),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f152])).
% 0.22/0.46 thf(f152,plain,(
% 0.22/0.46 ($true = $false) | ((entry_box @ sK9 @ sK1) = $true)),
% 0.22/0.46 inference(superposition,[],[f77,f149])).
% 0.22/0.46 thf(f149,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((entry_box @ sK9 @ X1) = $true)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f147])).
% 0.22/0.46 thf(f147,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((entry_box @ sK9 @ X1) & (number @ sK9 @ one @ X1)) = $true)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f146])).
% 0.22/0.46 thf(f146,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => ((entry_box @ sK9 @ X1) & (number @ sK9 @ one @ X1))) = $true)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f145])).
% 0.22/0.46 thf(f145,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((entry_box @ sK9 @ Y0) & (number @ sK9 @ one @ Y0)))) @ X1) = $true)) )),
% 0.22/0.46 inference(pi_clausification,[],[f144])).
% 0.22/0.46 thf(f144,plain,(
% 0.22/0.46 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((entry_box @ sK9 @ Y0) & (number @ sK9 @ one @ Y0))))) = $true)),
% 0.22/0.46 inference(beta_eta_normalization,[],[f143])).
% 0.22/0.46 thf(f143,plain,(
% 0.22/0.46 (((^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((entry_box @ Y0 @ Y1) & (number @ Y0 @ one @ Y1)))))) @ sK9) = $true)),
% 0.22/0.46 inference(sigma_clausification,[],[f142])).
% 0.22/0.46 thf(f142,plain,(
% 0.22/0.46 ((?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((entry_box @ Y0 @ Y1) & (number @ Y0 @ one @ Y1))))))) = $true)),
% 0.22/0.46 inference(beta_eta_normalization,[],[f71])).
% 0.22/0.46 thf(f71,plain,(
% 0.22/0.46 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) & (Y2 @ Y3))))))) @ (entry_box @ Y0) @ (number @ Y0 @ one)))))) = $true)),
% 0.22/0.46 inference(definition_unfolding,[],[f65,f56,f57,f60,f64])).
% 0.22/0.46 thf(f64,plain,(
% 0.22/0.46 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.22/0.46 inference(cnf_transformation,[],[f34])).
% 0.22/0.46 thf(f34,plain,(
% 0.22/0.46 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.22/0.46 inference(fool_elimination,[],[f33])).
% 0.22/0.46 thf(f33,plain,(
% 0.22/0.46 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 0.22/0.46 inference(rectify,[],[f3])).
% 0.22/0.46 thf(f3,axiom,(
% 0.22/0.46 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))) = mand)),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',mand_def)).
% 0.22/0.46 thf(f60,plain,(
% 0.22/0.46 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.22/0.46 inference(cnf_transformation,[],[f37])).
% 0.22/0.46 thf(f37,plain,(
% 0.22/0.46 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.22/0.46 inference(fool_elimination,[],[f36])).
% 0.22/0.46 thf(f36,plain,(
% 0.22/0.46 ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.22/0.46 inference(rectify,[],[f7])).
% 0.22/0.46 thf(f7,axiom,(
% 0.22/0.46 ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',mbox_def)).
% 0.22/0.46 thf(f57,plain,(
% 0.22/0.46 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.46 inference(cnf_transformation,[],[f28])).
% 0.22/0.46 thf(f28,plain,(
% 0.22/0.46 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.46 inference(fool_elimination,[],[f27])).
% 0.22/0.46 thf(f27,plain,(
% 0.22/0.46 ((^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : (X0 @ X2 @ X1))) = mexists_di)),
% 0.22/0.46 inference(rectify,[],[f12])).
% 0.22/0.46 thf(f12,axiom,(
% 0.22/0.46 ((^[X1 : $i > mworld > $o, X2 : mworld] : (? [X6] : (X1 @ X6 @ X2))) = mexists_di)),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',mexists_di_def)).
% 0.22/0.46 thf(f56,plain,(
% 0.22/0.46 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.22/0.46 inference(cnf_transformation,[],[f35])).
% 0.22/0.46 thf(f35,plain,(
% 0.22/0.46 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.22/0.46 inference(fool_elimination,[],[f1])).
% 0.22/0.46 thf(f1,axiom,(
% 0.22/0.46 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',mlocal_def)).
% 0.22/0.46 thf(f65,plain,(
% 0.22/0.46 ((mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (entry_box @ Y0) @ (number @ Y0 @ one)))))) = $true)),
% 0.22/0.46 inference(cnf_transformation,[],[f45])).
% 0.22/0.46 thf(f45,plain,(
% 0.22/0.46 ((mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (entry_box @ Y0) @ (number @ Y0 @ one)))))) = $true)),
% 0.22/0.46 inference(fool_elimination,[],[f44])).
% 0.22/0.46 thf(f44,plain,(
% 0.22/0.46 (mlocal @ (mexists_di @ (^[X0 : $i] : (mbox @ (mand @ (entry_box @ X0) @ (number @ X0 @ one))))))),
% 0.22/0.46 inference(rectify,[],[f14])).
% 0.22/0.46 thf(f14,axiom,(
% 0.22/0.46 (mlocal @ (mexists_di @ (^[X3 : $i] : (mbox @ (mand @ (entry_box @ X3) @ (number @ X3 @ one))))))),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',ax2)).
% 0.22/0.46 thf(f77,plain,(
% 0.22/0.46 ((mrel @ mactual @ sK1) = $true)),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f75])).
% 0.22/0.46 thf(f75,plain,(
% 0.22/0.46 (((mrel @ mactual @ sK1) => (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => ((userid @ u @ Y0 @ Y4) & ((entry_box @ Y1 @ Y4) & (number @ Y1 @ one @ Y4)))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4))))))))))))))))) = $false)),
% 0.22/0.46 inference(beta_eta_normalization,[],[f74])).
% 0.22/0.46 thf(f74,plain,(
% 0.22/0.46 (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => ((userid @ u @ Y1 @ Y5) & ((entry_box @ Y2 @ Y5) & (number @ Y2 @ one @ Y5)))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y4 @ Y3 @ Y6 @ Y5) => (in @ Y1 @ Y2 @ Y6 @ Y5)))))))))))))))))) @ sK1) = $false)),
% 0.22/0.46 inference(sigma_clausification,[],[f73])).
% 0.22/0.46 thf(f73,plain,(
% 0.22/0.46 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => ((userid @ u @ Y1 @ Y5) & ((entry_box @ Y2 @ Y5) & (number @ Y2 @ one @ Y5)))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y4 @ Y3 @ Y6 @ Y5) => (in @ Y1 @ Y2 @ Y6 @ Y5))))))))))))))))))) != $true)),
% 0.22/0.46 inference(beta_eta_normalization,[],[f70])).
% 0.22/0.46 thf(f70,plain,(
% 0.22/0.46 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (userid @ u @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : $i > mworld > $o]: ((^[Y5 : mworld]: (!! @ $i @ (^[Y6 : $i]: (Y4 @ Y6 @ Y5)))))) @ (^[Y4 : $i]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld > $o]: ((^[Y7 : mworld]: ((Y5 @ Y7) => (Y6 @ Y7))))))) @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))) != $true)),
% 0.22/0.46 inference(definition_unfolding,[],[f55,f56,f60,f57,f57,f57,f57,f64,f60,f64,f64,f60,f63,f68])).
% 0.22/0.46 thf(f68,plain,(
% 0.22/0.46 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.22/0.46 inference(cnf_transformation,[],[f43])).
% 0.22/0.46 thf(f43,plain,(
% 0.22/0.46 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.22/0.46 inference(fool_elimination,[],[f42])).
% 0.22/0.46 thf(f42,plain,(
% 0.22/0.46 (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.22/0.46 inference(rectify,[],[f5])).
% 0.22/0.46 thf(f5,axiom,(
% 0.22/0.46 (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',mimplies_def)).
% 0.22/0.46 thf(f63,plain,(
% 0.22/0.46 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.46 inference(cnf_transformation,[],[f41])).
% 0.22/0.46 thf(f41,plain,(
% 0.22/0.46 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.46 inference(fool_elimination,[],[f40])).
% 0.22/0.46 thf(f40,plain,(
% 0.22/0.46 ((^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : (X0 @ X2 @ X1))) = mforall_di)),
% 0.22/0.46 inference(rectify,[],[f11])).
% 0.22/0.46 thf(f11,axiom,(
% 0.22/0.46 ((^[X1 : $i > mworld > $o, X2 : mworld] : (! [X6] : (X1 @ X6 @ X2))) = mforall_di)),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',mforall_di_def)).
% 0.22/0.46 thf(f55,plain,(
% 0.22/0.46 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))) != $true)),
% 0.22/0.46 inference(cnf_transformation,[],[f50])).
% 0.22/0.46 thf(f50,plain,(
% 0.22/0.46 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))) != $true)),
% 0.22/0.46 inference(flattening,[],[f32])).
% 0.22/0.46 thf(f32,plain,(
% 0.22/0.46 ~((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))) = $true)),
% 0.22/0.46 inference(fool_elimination,[],[f31])).
% 0.22/0.46 thf(f31,plain,(
% 0.22/0.46 ~(mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X3 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X0) @ (mand @ (entry_box @ X1) @ (number @ X1 @ one)))) @ (mbox @ (mforall_di @ (^[X4 : $i] : (mimplies @ (do @ X3 @ X2 @ X4) @ (in @ X0 @ X1 @ X4))))))))))))))))),
% 0.22/0.46 inference(rectify,[],[f17])).
% 0.22/0.46 thf(f17,negated_conjecture,(
% 0.22/0.46 ~(mlocal @ (mbox @ (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X3 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X8 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X7) @ (mand @ (entry_box @ X3) @ (number @ X3 @ one)))) @ (mbox @ (mforall_di @ (^[X9 : $i] : (mimplies @ (do @ X8 @ X1 @ X9) @ (in @ X7 @ X3 @ X9))))))))))))))))),
% 0.22/0.46 inference(negated_conjecture,[],[f16])).
% 0.22/0.46 thf(f16,conjecture,(
% 0.22/0.46 (mlocal @ (mbox @ (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X3 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X8 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X7) @ (mand @ (entry_box @ X3) @ (number @ X3 @ one)))) @ (mbox @ (mforall_di @ (^[X9 : $i] : (mimplies @ (do @ X8 @ X1 @ X9) @ (in @ X7 @ X3 @ X9))))))))))))))))),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',con)).
% 0.22/0.46 thf(f279,plain,(
% 0.22/0.46 ((entry_box @ sK9 @ sK1) = $false) | ~spl0_4),
% 0.22/0.46 inference(avatar_component_clause,[],[f277])).
% 0.22/0.46 thf(f277,plain,(
% 0.22/0.46 spl0_4 <=> ((entry_box @ sK9 @ sK1) = $false)),
% 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.22/0.46 thf(f373,plain,(
% 0.22/0.46 spl0_8 | spl0_1 | ~spl0_9),
% 0.22/0.46 inference(avatar_split_clause,[],[f372,f304,f193,f300])).
% 0.22/0.46 thf(f193,plain,(
% 0.22/0.46 spl0_1 <=> ((mrel @ mactual @ sK1) = $false)),
% 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.22/0.46 thf(f304,plain,(
% 0.22/0.46 spl0_9 <=> ((string @ (sK8 @ mactual) @ sK1) = $false)),
% 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.22/0.46 thf(f372,plain,(
% 0.22/0.46 ((mrel @ mactual @ mactual) = $false) | (spl0_1 | ~spl0_9)),
% 0.22/0.46 inference(subsumption_resolution,[],[f368,f194])).
% 0.22/0.46 thf(f194,plain,(
% 0.22/0.46 ((mrel @ mactual @ sK1) != $false) | spl0_1),
% 0.22/0.46 inference(avatar_component_clause,[],[f193])).
% 0.22/0.46 thf(f368,plain,(
% 0.22/0.46 ((mrel @ mactual @ mactual) = $false) | ((mrel @ mactual @ sK1) = $false) | ~spl0_9),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f367])).
% 0.22/0.46 thf(f367,plain,(
% 0.22/0.46 ((mrel @ mactual @ mactual) = $false) | ((mrel @ mactual @ sK1) = $false) | ($true = $false) | ~spl0_9),
% 0.22/0.46 inference(superposition,[],[f140,f306])).
% 0.22/0.46 thf(f306,plain,(
% 0.22/0.46 ((string @ (sK8 @ mactual) @ sK1) = $false) | ~spl0_9),
% 0.22/0.46 inference(avatar_component_clause,[],[f304])).
% 0.22/0.46 thf(f140,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X1 : mworld] : (((string @ (sK8 @ X1) @ X2) = $true) | ((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X2) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f139])).
% 0.22/0.46 thf(f139,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X1 : mworld] : ((((userid @ u @ (sK8 @ X1) @ X2) & (string @ (sK8 @ X1) @ X2)) = $true) | ((mrel @ X1 @ X2) = $false) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f138])).
% 0.22/0.46 thf(f138,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X1 : mworld] : ((((mrel @ X1 @ X2) => ((userid @ u @ (sK8 @ X1) @ X2) & (string @ (sK8 @ X1) @ X2))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f137])).
% 0.22/0.46 thf(f137,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((userid @ u @ (sK8 @ X1) @ Y0) & (string @ (sK8 @ X1) @ Y0)))) @ X2) = $true)) )),
% 0.22/0.46 inference(pi_clausification,[],[f136])).
% 0.22/0.46 thf(f136,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((userid @ u @ (sK8 @ X1) @ Y0) & (string @ (sK8 @ X1) @ Y0))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f135])).
% 0.22/0.46 thf(f135,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((userid @ u @ Y0 @ Y1) & (string @ Y0 @ Y1)))))) @ (sK8 @ X1)) = $true)) )),
% 0.22/0.46 inference(sigma_clausification,[],[f134])).
% 0.22/0.46 thf(f134,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : (((?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((userid @ u @ Y0 @ Y1) & (string @ Y0 @ Y1))))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f133])).
% 0.22/0.46 thf(f133,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : (($true = ((mrel @ mactual @ X1) => (?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((userid @ u @ Y0 @ Y1) & (string @ Y0 @ Y1)))))))))) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f132])).
% 0.22/0.46 thf(f132,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((userid @ u @ Y1 @ Y2) & (string @ Y1 @ Y2))))))))) @ X1) = $true)) )),
% 0.22/0.46 inference(pi_clausification,[],[f131])).
% 0.22/0.46 thf(f131,plain,(
% 0.22/0.46 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((userid @ u @ Y1 @ Y2) & (string @ Y1 @ Y2)))))))))) = $true)),
% 0.22/0.46 inference(beta_eta_normalization,[],[f72])).
% 0.22/0.46 thf(f72,plain,(
% 0.22/0.46 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) & (Y2 @ Y3))))))) @ (userid @ u @ Y0) @ (string @ Y0))))))) = $true)),
% 0.22/0.46 inference(definition_unfolding,[],[f67,f56,f60,f57,f60,f64])).
% 0.22/0.46 thf(f67,plain,(
% 0.22/0.46 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (userid @ u @ Y0) @ (string @ Y0))))))) = $true)),
% 0.22/0.46 inference(cnf_transformation,[],[f49])).
% 0.22/0.46 thf(f49,plain,(
% 0.22/0.46 ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (userid @ u @ Y0) @ (string @ Y0))))))) = $true)),
% 0.22/0.46 inference(fool_elimination,[],[f48])).
% 0.22/0.46 thf(f48,plain,(
% 0.22/0.46 (mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (mbox @ (mand @ (userid @ u @ X0) @ (string @ X0)))))))),
% 0.22/0.46 inference(rectify,[],[f13])).
% 0.22/0.46 thf(f13,axiom,(
% 0.22/0.46 (mlocal @ (mbox @ (mexists_di @ (^[X7 : $i] : (mbox @ (mand @ (userid @ u @ X7) @ (string @ X7)))))))),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',ax1)).
% 0.22/0.46 thf(f362,plain,(
% 0.22/0.46 spl0_9 | spl0_4 | ~spl0_2 | ~spl0_7),
% 0.22/0.46 inference(avatar_split_clause,[],[f361,f296,f197,f277,f304])).
% 0.22/0.46 thf(f197,plain,(
% 0.22/0.46 spl0_2 <=> ! [X0,X1] : (((entry_box @ X1 @ sK1) = $false) | ((string @ X0 @ sK1) = $false) | ((mrel @ sK1 @ (sK2 @ X0 @ X1)) = $true))),
% 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.22/0.46 thf(f296,plain,(
% 0.22/0.46 spl0_7 <=> ((mrel @ mactual @ (sK2 @ (sK8 @ mactual) @ sK9)) = $false)),
% 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.22/0.46 thf(f361,plain,(
% 0.22/0.46 ((string @ (sK8 @ mactual) @ sK1) = $false) | ((entry_box @ sK9 @ sK1) = $false) | (~spl0_2 | ~spl0_7)),
% 0.22/0.46 inference(subsumption_resolution,[],[f359,f77])).
% 0.22/0.46 thf(f359,plain,(
% 0.22/0.46 ((string @ (sK8 @ mactual) @ sK1) = $false) | ((mrel @ mactual @ sK1) != $true) | ((entry_box @ sK9 @ sK1) = $false) | (~spl0_2 | ~spl0_7)),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f354])).
% 0.22/0.46 thf(f354,plain,(
% 0.22/0.46 ((entry_box @ sK9 @ sK1) = $false) | ((mrel @ mactual @ sK1) != $true) | ($true != $true) | ((string @ (sK8 @ mactual) @ sK1) = $false) | (~spl0_2 | ~spl0_7)),
% 0.22/0.46 inference(superposition,[],[f345,f198])).
% 0.22/0.46 thf(f198,plain,(
% 0.22/0.46 ( ! [X0 : $i,X1 : $i] : (((mrel @ sK1 @ (sK2 @ X0 @ X1)) = $true) | ((string @ X0 @ sK1) = $false) | ((entry_box @ X1 @ sK1) = $false)) ) | ~spl0_2),
% 0.22/0.46 inference(avatar_component_clause,[],[f197])).
% 0.22/0.46 thf(f345,plain,(
% 0.22/0.46 ( ! [X0 : mworld] : (($true != (mrel @ X0 @ (sK2 @ (sK8 @ mactual) @ sK9))) | ((mrel @ mactual @ X0) != $true)) ) | ~spl0_7),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f342])).
% 0.22/0.46 thf(f342,plain,(
% 0.22/0.46 ( ! [X0 : mworld] : (((mrel @ mactual @ X0) != $true) | ($true = $false) | ($true != (mrel @ X0 @ (sK2 @ (sK8 @ mactual) @ sK9)))) ) | ~spl0_7),
% 0.22/0.46 inference(superposition,[],[f298,f53])).
% 0.22/0.46 thf(f53,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : (((mrel @ X1 @ X0) = $true) | ((mrel @ X1 @ X2) != $true) | ((mrel @ X2 @ X0) != $true)) )),
% 0.22/0.46 inference(cnf_transformation,[],[f52])).
% 0.22/0.46 thf(f52,plain,(
% 0.22/0.46 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X2 @ X0) != $true) | ((mrel @ X1 @ X0) = $true) | ((mrel @ X1 @ X2) != $true))),
% 0.22/0.46 inference(flattening,[],[f51])).
% 0.22/0.46 thf(f51,plain,(
% 0.22/0.46 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X1 @ X0) = $true) | (((mrel @ X2 @ X0) != $true) | ((mrel @ X1 @ X2) != $true)))),
% 0.22/0.46 inference(ennf_transformation,[],[f24])).
% 0.22/0.46 thf(f24,plain,(
% 0.22/0.46 ! [X0 : mworld,X1 : mworld,X2 : mworld] : ((((mrel @ X2 @ X0) = $true) & ((mrel @ X1 @ X2) = $true)) => ((mrel @ X1 @ X0) = $true))),
% 0.22/0.46 inference(fool_elimination,[],[f23])).
% 0.22/0.46 thf(f23,plain,(
% 0.22/0.46 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X2 @ X0) & (mrel @ X1 @ X2)) => (mrel @ X1 @ X0))),
% 0.22/0.46 inference(rectify,[],[f10])).
% 0.22/0.46 thf(f10,axiom,(
% 0.22/0.46 ! [X5 : mworld,X2 : mworld,X4 : mworld] : (((mrel @ X4 @ X5) & (mrel @ X2 @ X4)) => (mrel @ X2 @ X5))),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',mrel_transitive)).
% 0.22/0.46 thf(f298,plain,(
% 0.22/0.46 ((mrel @ mactual @ (sK2 @ (sK8 @ mactual) @ sK9)) = $false) | ~spl0_7),
% 0.22/0.46 inference(avatar_component_clause,[],[f296])).
% 0.22/0.46 thf(f328,plain,(
% 0.22/0.46 spl0_4 | spl0_9 | ~spl0_2 | ~spl0_6),
% 0.22/0.46 inference(avatar_split_clause,[],[f327,f292,f197,f304,f277])).
% 0.22/0.46 thf(f292,plain,(
% 0.22/0.46 spl0_6 <=> ((entry_box @ sK9 @ (sK2 @ (sK8 @ mactual) @ sK9)) = $false)),
% 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.22/0.46 thf(f327,plain,(
% 0.22/0.46 ((string @ (sK8 @ mactual) @ sK1) = $false) | ((entry_box @ sK9 @ sK1) = $false) | (~spl0_2 | ~spl0_6)),
% 0.22/0.46 inference(subsumption_resolution,[],[f323,f77])).
% 0.22/0.46 thf(f323,plain,(
% 0.22/0.46 ((string @ (sK8 @ mactual) @ sK1) = $false) | ((entry_box @ sK9 @ sK1) = $false) | ((mrel @ mactual @ sK1) != $true) | (~spl0_2 | ~spl0_6)),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f319])).
% 0.22/0.46 thf(f319,plain,(
% 0.22/0.46 ((mrel @ mactual @ sK1) != $true) | ((entry_box @ sK9 @ sK1) = $false) | ((string @ (sK8 @ mactual) @ sK1) = $false) | ($true != $true) | (~spl0_2 | ~spl0_6)),
% 0.22/0.46 inference(superposition,[],[f311,f198])).
% 0.22/0.46 thf(f311,plain,(
% 0.22/0.46 ( ! [X0 : mworld] : (($true != (mrel @ X0 @ (sK2 @ (sK8 @ mactual) @ sK9))) | ((mrel @ mactual @ X0) != $true)) ) | ~spl0_6),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f309])).
% 0.22/0.46 thf(f309,plain,(
% 0.22/0.46 ( ! [X0 : mworld] : (($true = $false) | ($true != (mrel @ X0 @ (sK2 @ (sK8 @ mactual) @ sK9))) | ((mrel @ mactual @ X0) != $true)) ) | ~spl0_6),
% 0.22/0.46 inference(superposition,[],[f161,f294])).
% 0.22/0.46 thf(f294,plain,(
% 0.22/0.46 ((entry_box @ sK9 @ (sK2 @ (sK8 @ mactual) @ sK9)) = $false) | ~spl0_6),
% 0.22/0.46 inference(avatar_component_clause,[],[f292])).
% 0.22/0.46 thf(f161,plain,(
% 0.22/0.46 ( ! [X0 : mworld,X1 : mworld] : (((entry_box @ sK9 @ X0) = $true) | ((mrel @ X1 @ X0) != $true) | ((mrel @ mactual @ X1) != $true)) )),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f159])).
% 0.22/0.46 thf(f159,plain,(
% 0.22/0.46 ( ! [X0 : mworld,X1 : mworld] : (($true = $false) | ((entry_box @ sK9 @ X0) = $true) | ((mrel @ X1 @ X0) != $true) | ((mrel @ mactual @ X1) != $true)) )),
% 0.22/0.46 inference(superposition,[],[f149,f53])).
% 0.22/0.46 thf(f307,plain,(
% 0.22/0.46 spl0_6 | spl0_7 | spl0_8 | spl0_9 | ~spl0_5),
% 0.22/0.46 inference(avatar_split_clause,[],[f289,f281,f304,f300,f296,f292])).
% 0.22/0.46 thf(f281,plain,(
% 0.22/0.46 spl0_5 <=> ! [X0 : mworld] : (((entry_box @ sK9 @ (sK2 @ (sK8 @ X0) @ sK9)) = $false) | ((mrel @ mactual @ (sK2 @ (sK8 @ X0) @ sK9)) = $false) | ((string @ (sK8 @ X0) @ sK1) = $false) | ((mrel @ mactual @ X0) = $false) | ((mrel @ X0 @ (sK2 @ (sK8 @ X0) @ sK9)) = $false))),
% 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.22/0.46 thf(f289,plain,(
% 0.22/0.46 ((entry_box @ sK9 @ (sK2 @ (sK8 @ mactual) @ sK9)) = $false) | ((mrel @ mactual @ (sK2 @ (sK8 @ mactual) @ sK9)) = $false) | ((string @ (sK8 @ mactual) @ sK1) = $false) | ((mrel @ mactual @ mactual) = $false) | ~spl0_5),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f287])).
% 0.22/0.46 thf(f287,plain,(
% 0.22/0.46 ($false != $false) | ((entry_box @ sK9 @ (sK2 @ (sK8 @ mactual) @ sK9)) = $false) | ((string @ (sK8 @ mactual) @ sK1) = $false) | ((mrel @ mactual @ (sK2 @ (sK8 @ mactual) @ sK9)) = $false) | ((mrel @ mactual @ mactual) = $false) | ~spl0_5),
% 0.22/0.46 inference(equality_factoring,[],[f282])).
% 0.22/0.46 thf(f282,plain,(
% 0.22/0.46 ( ! [X0 : mworld] : (((mrel @ mactual @ (sK2 @ (sK8 @ X0) @ sK9)) = $false) | ((string @ (sK8 @ X0) @ sK1) = $false) | ((entry_box @ sK9 @ (sK2 @ (sK8 @ X0) @ sK9)) = $false) | ((mrel @ mactual @ X0) = $false) | ((mrel @ X0 @ (sK2 @ (sK8 @ X0) @ sK9)) = $false)) ) | ~spl0_5),
% 0.22/0.46 inference(avatar_component_clause,[],[f281])).
% 0.22/0.46 thf(f284,plain,(
% 0.22/0.46 spl0_5 | spl0_4 | ~spl0_3),
% 0.22/0.46 inference(avatar_split_clause,[],[f274,f250,f277,f281])).
% 0.22/0.46 thf(f250,plain,(
% 0.22/0.46 spl0_3 <=> ! [X0,X1] : (((entry_box @ X1 @ sK1) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((string @ X0 @ sK1) = $false))),
% 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.22/0.46 thf(f274,plain,(
% 0.22/0.46 ( ! [X0 : mworld] : (((mrel @ X0 @ (sK2 @ (sK8 @ X0) @ sK9)) = $false) | ((entry_box @ sK9 @ sK1) = $false) | ((mrel @ mactual @ X0) = $false) | ((entry_box @ sK9 @ (sK2 @ (sK8 @ X0) @ sK9)) = $false) | ((mrel @ mactual @ (sK2 @ (sK8 @ X0) @ sK9)) = $false) | ((string @ (sK8 @ X0) @ sK1) = $false)) ) | ~spl0_3),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f273])).
% 0.22/0.46 thf(f273,plain,(
% 0.22/0.46 ( ! [X0 : mworld] : (((string @ (sK8 @ X0) @ sK1) = $false) | ((mrel @ mactual @ (sK2 @ (sK8 @ X0) @ sK9)) = $false) | ((entry_box @ sK9 @ (sK2 @ (sK8 @ X0) @ sK9)) = $false) | ((mrel @ mactual @ X0) = $false) | ((entry_box @ sK9 @ sK1) = $false) | ($true = $false) | ((mrel @ X0 @ (sK2 @ (sK8 @ X0) @ sK9)) = $false)) ) | ~spl0_3),
% 0.22/0.46 inference(superposition,[],[f148,f271])).
% 0.22/0.46 thf(f271,plain,(
% 0.22/0.46 ( ! [X0 : mworld,X1 : $i] : (((number @ X1 @ one @ (sK2 @ (sK8 @ X0) @ X1)) = $false) | ((mrel @ X0 @ (sK2 @ (sK8 @ X0) @ X1)) = $false) | ((mrel @ mactual @ X0) = $false) | ((string @ (sK8 @ X0) @ sK1) = $false) | ((entry_box @ X1 @ sK1) = $false) | ((entry_box @ X1 @ (sK2 @ (sK8 @ X0) @ X1)) = $false)) ) | ~spl0_3),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f269])).
% 0.22/0.46 thf(f269,plain,(
% 0.22/0.46 ( ! [X0 : mworld,X1 : $i] : (((string @ (sK8 @ X0) @ sK1) = $false) | ((entry_box @ X1 @ (sK2 @ (sK8 @ X0) @ X1)) = $false) | ((number @ X1 @ one @ (sK2 @ (sK8 @ X0) @ X1)) = $false) | ($true = $false) | ((mrel @ mactual @ X0) = $false) | ((entry_box @ X1 @ sK1) = $false) | ((mrel @ X0 @ (sK2 @ (sK8 @ X0) @ X1)) = $false)) ) | ~spl0_3),
% 0.22/0.46 inference(superposition,[],[f141,f251])).
% 0.22/0.46 thf(f251,plain,(
% 0.22/0.46 ( ! [X0 : $i,X1 : $i] : (((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((string @ X0 @ sK1) = $false) | ((entry_box @ X1 @ sK1) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false)) ) | ~spl0_3),
% 0.22/0.46 inference(avatar_component_clause,[],[f250])).
% 0.22/0.46 thf(f141,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X1 : mworld] : (($true = (userid @ u @ (sK8 @ X1) @ X2)) | ((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X2) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f139])).
% 0.22/0.46 thf(f148,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : (((number @ sK9 @ one @ X1) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f147])).
% 0.22/0.46 thf(f262,plain,(
% 0.22/0.46 ~spl0_1),
% 0.22/0.46 inference(avatar_contradiction_clause,[],[f261])).
% 0.22/0.46 thf(f261,plain,(
% 0.22/0.46 $false | ~spl0_1),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f254])).
% 0.22/0.46 thf(f254,plain,(
% 0.22/0.46 ($true = $false) | ~spl0_1),
% 0.22/0.46 inference(superposition,[],[f195,f77])).
% 0.22/0.46 thf(f195,plain,(
% 0.22/0.46 ((mrel @ mactual @ sK1) = $false) | ~spl0_1),
% 0.22/0.46 inference(avatar_component_clause,[],[f193])).
% 0.22/0.46 thf(f253,plain,(
% 0.22/0.46 spl0_1 | spl0_3),
% 0.22/0.46 inference(avatar_split_clause,[],[f246,f250,f193])).
% 0.22/0.46 thf(f246,plain,(
% 0.22/0.46 ( ! [X0 : $i,X1 : $i] : (((string @ X0 @ sK1) = $false) | ((mrel @ mactual @ sK1) = $false) | ((entry_box @ X1 @ sK1) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false)) )),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f245])).
% 0.22/0.46 thf(f245,plain,(
% 0.22/0.46 ( ! [X0 : $i,X1 : $i] : (((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ sK1) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ($true = $false) | ((mrel @ mactual @ sK1) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((string @ X0 @ sK1) = $false)) )),
% 0.22/0.46 inference(duplicate_literal_removal,[],[f242])).
% 0.22/0.46 thf(f242,plain,(
% 0.22/0.46 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((mrel @ mactual @ sK1) = $false) | ((entry_box @ X1 @ sK1) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((string @ X0 @ sK1) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false)) )),
% 0.22/0.46 inference(superposition,[],[f104,f181])).
% 0.22/0.46 thf(f181,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK5 @ X0 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((string @ X0 @ X2) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ X2) = $false) | ((mrel @ mactual @ X2) = $false)) )),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f180])).
% 0.22/0.46 thf(f180,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK5 @ X0 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1)) = $false) | ((string @ X0 @ X2) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((mrel @ mactual @ X2) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ X2) = $false) | ($true = $false)) )),
% 0.22/0.46 inference(duplicate_literal_removal,[],[f176])).
% 0.22/0.46 thf(f176,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ($true = $false) | ((mrel @ mactual @ X2) = $false) | ((entry_box @ X1 @ X2) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((mrel @ X2 @ (sK5 @ X0 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1)) = $false) | ((string @ X0 @ X2) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false)) )),
% 0.22/0.46 inference(superposition,[],[f169,f109])).
% 0.22/0.46 thf(f109,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((in @ X1 @ X2 @ (sK6 @ X1 @ X3 @ X4 @ X2) @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $false) | ((number @ X2 @ one @ (sK2 @ X1 @ X2)) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | ((entry_box @ X2 @ (sK2 @ X1 @ X2)) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f108])).
% 0.22/0.46 thf(f108,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((number @ X2 @ one @ (sK2 @ X1 @ X2)) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | (((do @ X4 @ X3 @ (sK6 @ X1 @ X3 @ X4 @ X2) @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK6 @ X1 @ X3 @ X4 @ X2) @ (sK5 @ X1 @ X3 @ X4 @ X2))) = $false) | ((entry_box @ X2 @ (sK2 @ X1 @ X2)) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f107])).
% 0.22/0.46 thf(f107,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)))) @ (sK6 @ X1 @ X3 @ X4 @ X2)) = $false) | ((entry_box @ X2 @ (sK2 @ X1 @ X2)) = $false) | ((number @ X2 @ one @ (sK2 @ X1 @ X2)) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false)) )),
% 0.22/0.46 inference(sigma_clausification,[],[f106])).
% 0.22/0.46 thf(f106,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((number @ X2 @ one @ (sK2 @ X1 @ X2)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2))))) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | ((entry_box @ X2 @ (sK2 @ X1 @ X2)) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f105])).
% 0.22/0.46 thf(f105,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((entry_box @ X2 @ (sK2 @ X1 @ X2)) & (number @ X2 @ one @ (sK2 @ X1 @ X2))) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2))))) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f101])).
% 0.22/0.46 thf(f101,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((userid @ u @ X1 @ (sK2 @ X1 @ X2)) & ((entry_box @ X2 @ (sK2 @ X1 @ X2)) & (number @ X2 @ one @ (sK2 @ X1 @ X2)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2))))) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f100])).
% 0.22/0.46 thf(f100,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((mrel @ sK1 @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)))))) = $false) | (((userid @ u @ X1 @ (sK2 @ X1 @ X2)) & ((entry_box @ X2 @ (sK2 @ X1 @ X2)) & (number @ X2 @ one @ (sK2 @ X1 @ X2)))) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f99])).
% 0.22/0.46 thf(f99,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((userid @ u @ X1 @ (sK2 @ X1 @ X2)) & ((entry_box @ X2 @ (sK2 @ X1 @ X2)) & (number @ X2 @ one @ (sK2 @ X1 @ X2)))) = $false) | (((^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))) @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $false)) )),
% 0.22/0.46 inference(sigma_clausification,[],[f89])).
% 0.22/0.46 thf(f89,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) = $false) | (((userid @ u @ X1 @ (sK2 @ X1 @ X2)) & ((entry_box @ X2 @ (sK2 @ X1 @ X2)) & (number @ X2 @ one @ (sK2 @ X1 @ X2)))) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f88])).
% 0.22/0.46 thf(f88,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((mrel @ sK1 @ (sK2 @ X1 @ X2)) => ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) & ((entry_box @ X2 @ (sK2 @ X1 @ X2)) & (number @ X2 @ one @ (sK2 @ X1 @ X2))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f87])).
% 0.22/0.46 thf(f87,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0))))) @ (sK2 @ X1 @ X2)) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) = $false)) )),
% 0.22/0.46 inference(sigma_clausification,[],[f86])).
% 0.22/0.46 thf(f86,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0)))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f85])).
% 0.22/0.46 thf(f85,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0)))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))))) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f84])).
% 0.22/0.46 thf(f84,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => ((userid @ u @ X1 @ Y1) & ((entry_box @ X2 @ Y1) & (number @ X2 @ one @ Y1)))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1))))))))) @ X4) = $false)) )),
% 0.22/0.46 inference(pi_clausification,[],[f83])).
% 0.22/0.46 thf(f83,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => ((userid @ u @ X1 @ Y1) & ((entry_box @ X2 @ Y1) & (number @ X2 @ one @ Y1)))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1)))))))))) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f82])).
% 0.22/0.46 thf(f82,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => ((userid @ u @ X1 @ Y2) & ((entry_box @ X2 @ Y2) & (number @ X2 @ one @ Y2)))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2))))))))))) @ X3) = $false)) )),
% 0.22/0.46 inference(pi_clausification,[],[f81])).
% 0.22/0.46 thf(f81,plain,(
% 0.22/0.46 ( ! [X2 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => ((userid @ u @ X1 @ Y2) & ((entry_box @ X2 @ Y2) & (number @ X2 @ one @ Y2)))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2)))))))))))) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f80])).
% 0.22/0.46 thf(f80,plain,(
% 0.22/0.46 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => ((userid @ u @ X1 @ Y3) & ((entry_box @ Y0 @ Y3) & (number @ Y0 @ one @ Y3)))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3))))))))))))) @ X2) = $false)) )),
% 0.22/0.46 inference(pi_clausification,[],[f79])).
% 0.22/0.46 thf(f79,plain,(
% 0.22/0.46 ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => ((userid @ u @ X1 @ Y3) & ((entry_box @ Y0 @ Y3) & (number @ Y0 @ one @ Y3)))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3)))))))))))))) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f78])).
% 0.22/0.46 thf(f78,plain,(
% 0.22/0.46 ( ! [X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => ((userid @ u @ Y0 @ Y4) & ((entry_box @ Y1 @ Y4) & (number @ Y1 @ one @ Y4)))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4))))))))))))))) @ X1) = $false)) )),
% 0.22/0.46 inference(pi_clausification,[],[f76])).
% 0.22/0.46 thf(f76,plain,(
% 0.22/0.46 ((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => ((userid @ u @ Y0 @ Y4) & ((entry_box @ Y1 @ Y4) & (number @ Y1 @ one @ Y4)))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4)))))))))))))))) = $false)),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f75])).
% 0.22/0.46 thf(f169,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (($true = (in @ X2 @ X3 @ (sK6 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5) @ (sK5 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5))) | ((entry_box @ X5 @ (sK2 @ X4 @ X5)) = $false) | ((mrel @ mactual @ X1) = $false) | ((number @ X5 @ one @ (sK2 @ X4 @ X5)) = $false) | ((userid @ u @ X4 @ (sK2 @ X4 @ X5)) = $false) | ($false = (string @ X2 @ X1)) | ((mrel @ X1 @ (sK5 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5)) = $false) | ((entry_box @ X3 @ X1) = $false)) )),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f167])).
% 0.22/0.46 thf(f167,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((userid @ u @ X4 @ (sK2 @ X4 @ X5)) = $false) | ((entry_box @ X5 @ (sK2 @ X4 @ X5)) = $false) | ($true = $false) | ((mrel @ X1 @ (sK5 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5)) = $false) | ($true = (in @ X2 @ X3 @ (sK6 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5) @ (sK5 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5))) | ((entry_box @ X3 @ X1) = $false) | ((number @ X5 @ one @ (sK2 @ X4 @ X5)) = $false) | ($false = (string @ X2 @ X1)) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(superposition,[],[f130,f110])).
% 0.22/0.46 thf(f110,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((do @ X4 @ X3 @ (sK6 @ X1 @ X3 @ X4 @ X2) @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $true) | ((entry_box @ X2 @ (sK2 @ X1 @ X2)) = $false) | ((number @ X2 @ one @ (sK2 @ X1 @ X2)) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f108])).
% 0.22/0.46 thf(f130,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ X6 @ X5) = $false) | ((in @ X3 @ X4 @ X6 @ X5) = $true) | ((string @ X3 @ X1) = $false) | ((mrel @ X1 @ X5) = $false) | ((entry_box @ X4 @ X1) = $false) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f129])).
% 0.22/0.46 thf(f129,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (((string @ X3 @ X1) = $false) | (((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ X6 @ X5) => (in @ X3 @ X4 @ X6 @ X5)) = $true) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false) | ((mrel @ X1 @ X5) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f128])).
% 0.22/0.46 thf(f128,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X5) = $false) | ((entry_box @ X4 @ X1) = $false) | ((string @ X3 @ X1) = $false) | (((^[Y0 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5))) @ X6) = $true)) )),
% 0.22/0.46 inference(pi_clausification,[],[f127])).
% 0.22/0.46 thf(f127,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X5) = $false) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5)))) = $true) | ((string @ X3 @ X1) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f126])).
% 0.22/0.46 thf(f126,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : ((((mrel @ X1 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5))))) = $true) | ((string @ X3 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f125])).
% 0.22/0.46 thf(f125,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (((entry_box @ X4 @ X1) = $false) | ((string @ X3 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | (((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0)))))) @ X5) = $true)) )),
% 0.22/0.46 inference(pi_clausification,[],[f124])).
% 0.22/0.46 thf(f124,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0))))))) = $true) | ((entry_box @ X4 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ((string @ X3 @ X1) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f123])).
% 0.22/0.46 thf(f123,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((string @ X3 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false) | (((^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true)) )),
% 0.22/0.46 inference(sigma_clausification,[],[f122])).
% 0.22/0.46 thf(f122,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false) | ((string @ X3 @ X1) = $false) | ((?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1))))))))) = $true)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f121])).
% 0.22/0.46 thf(f121,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : ((((string @ X3 @ X1) & (entry_box @ X4 @ X1)) = $false) | ((?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1))))))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f120])).
% 0.22/0.46 thf(f120,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($true = (((string @ X3 @ X1) & (entry_box @ X4 @ X1)) => (?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1))))))))))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f119])).
% 0.22/0.46 thf(f119,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : ((((^[Y0 : $i]: (((string @ X3 @ X1) & (entry_box @ Y0 @ X1)) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2))))))))))) @ X4) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(pi_clausification,[],[f118])).
% 0.22/0.46 thf(f118,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld] : (((!! @ $i @ (^[Y0 : $i]: (((string @ X3 @ X1) & (entry_box @ Y0 @ X1)) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2)))))))))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f117])).
% 0.22/0.46 thf(f117,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((string @ Y0 @ X1) & (entry_box @ Y1 @ X1)) => (?? @ $i @ (^[Y2 : $i]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3))))))))))))) @ X3) = $true)) )),
% 0.22/0.46 inference(pi_clausification,[],[f116])).
% 0.22/0.46 thf(f116,plain,(
% 0.22/0.46 ( ! [X2 : $i,X1 : mworld] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((string @ Y0 @ X1) & (entry_box @ Y1 @ X1)) => (?? @ $i @ (^[Y2 : $i]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3)))))))))))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f115])).
% 0.22/0.46 thf(f115,plain,(
% 0.22/0.46 ( ! [X2 : $i,X1 : mworld] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((string @ Y1 @ X1) & (entry_box @ Y2 @ X1)) => (?? @ $i @ (^[Y3 : $i]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4))))))))))))))) @ X2) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.22/0.46 inference(pi_clausification,[],[f114])).
% 0.22/0.46 thf(f114,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((string @ Y1 @ X1) & (entry_box @ Y2 @ X1)) => (?? @ $i @ (^[Y3 : $i]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4)))))))))))))))) = $true)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f113])).
% 0.22/0.46 thf(f113,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((string @ Y1 @ X1) & (entry_box @ Y2 @ X1)) => (?? @ $i @ (^[Y3 : $i]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4))))))))))))))))) = $true)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f112])).
% 0.22/0.46 thf(f112,plain,(
% 0.22/0.46 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((string @ Y2 @ Y0) & (entry_box @ Y3 @ Y0)) => (?? @ $i @ (^[Y4 : $i]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y1 @ Y4 @ Y6 @ Y5) => (in @ Y2 @ Y3 @ Y6 @ Y5)))))))))))))))))) @ X1) = $true)) )),
% 0.22/0.46 inference(pi_clausification,[],[f111])).
% 0.22/0.46 thf(f111,plain,(
% 0.22/0.46 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((string @ Y2 @ Y0) & (entry_box @ Y3 @ Y0)) => (?? @ $i @ (^[Y4 : $i]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y1 @ Y4 @ Y6 @ Y5) => (in @ Y2 @ Y3 @ Y6 @ Y5))))))))))))))))))) = $true)),
% 0.22/0.46 inference(beta_eta_normalization,[],[f69])).
% 0.22/0.46 thf(f69,plain,(
% 0.22/0.46 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ (string @ Y1) @ (entry_box @ Y2)) @ ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : $i > mworld > $o]: ((^[Y5 : mworld]: (!! @ $i @ (^[Y6 : $i]: (Y4 @ Y6 @ Y5)))))) @ (^[Y4 : $i]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld > $o]: ((^[Y7 : mworld]: ((Y5 @ Y7) => (Y6 @ Y7))))))) @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))) = $true)),
% 0.22/0.46 inference(definition_unfolding,[],[f54,f56,f60,f63,f63,f63,f68,f64,f57,f60,f63,f68])).
% 0.22/0.46 thf(f54,plain,(
% 0.22/0.46 ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mand @ (string @ Y1) @ (entry_box @ Y2)) @ (mexists_di @ (^[Y3 : $i]: (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))) = $true)),
% 0.22/0.46 inference(cnf_transformation,[],[f26])).
% 0.22/0.46 thf(f26,plain,(
% 0.22/0.46 ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mand @ (string @ Y1) @ (entry_box @ Y2)) @ (mexists_di @ (^[Y3 : $i]: (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))) = $true)),
% 0.22/0.46 inference(fool_elimination,[],[f25])).
% 0.22/0.46 thf(f25,plain,(
% 0.22/0.46 (mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mimplies @ (mand @ (string @ X1) @ (entry_box @ X2)) @ (mexists_di @ (^[X3 : $i] : (mbox @ (mforall_di @ (^[X4 : $i] : (mimplies @ (do @ X0 @ X3 @ X4) @ (in @ X1 @ X2 @ X4))))))))))))))))),
% 0.22/0.46 inference(rectify,[],[f15])).
% 0.22/0.46 thf(f15,axiom,(
% 0.22/0.46 (mlocal @ (mbox @ (mforall_di @ (^[X8 : $i] : (mforall_di @ (^[X7 : $i] : (mforall_di @ (^[X3 : $i] : (mimplies @ (mand @ (string @ X7) @ (entry_box @ X3)) @ (mexists_di @ (^[X1 : $i] : (mbox @ (mforall_di @ (^[X9 : $i] : (mimplies @ (do @ X8 @ X1 @ X9) @ (in @ X7 @ X3 @ X9))))))))))))))))),
% 0.22/0.46 file('/export/starexec/sandbox/tmp/tmp.6vuBmrXuqq/Vampire---4.8_21576',ax3)).
% 0.22/0.46 thf(f104,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK1 @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $true) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | ((number @ X2 @ one @ (sK2 @ X1 @ X2)) = $false) | ((entry_box @ X2 @ (sK2 @ X1 @ X2)) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f103])).
% 0.22/0.46 thf(f103,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK1 @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $true) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | (((entry_box @ X2 @ (sK2 @ X1 @ X2)) & (number @ X2 @ one @ (sK2 @ X1 @ X2))) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f102])).
% 0.22/0.46 thf(f102,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK1 @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $true) | (((userid @ u @ X1 @ (sK2 @ X1 @ X2)) & ((entry_box @ X2 @ (sK2 @ X1 @ X2)) & (number @ X2 @ one @ (sK2 @ X1 @ X2)))) = $false)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f100])).
% 0.22/0.46 thf(f200,plain,(
% 0.22/0.46 spl0_1 | spl0_2),
% 0.22/0.46 inference(avatar_split_clause,[],[f189,f197,f193])).
% 0.22/0.46 thf(f189,plain,(
% 0.22/0.46 ( ! [X0 : $i,X1 : $i] : (((mrel @ sK1 @ (sK2 @ X0 @ X1)) = $true) | ((entry_box @ X1 @ sK1) = $false) | ((mrel @ mactual @ sK1) = $false) | ((string @ X0 @ sK1) = $false)) )),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f188])).
% 0.22/0.46 thf(f188,plain,(
% 0.22/0.46 ( ! [X0 : $i,X1 : $i] : (((mrel @ mactual @ sK1) = $false) | ((mrel @ sK1 @ (sK2 @ X0 @ X1)) = $true) | ((entry_box @ X1 @ sK1) = $false) | ($true = $false) | ((string @ X0 @ sK1) = $false)) )),
% 0.22/0.46 inference(duplicate_literal_removal,[],[f183])).
% 0.22/0.46 thf(f183,plain,(
% 0.22/0.46 ( ! [X0 : $i,X1 : $i] : (((entry_box @ X1 @ sK1) = $false) | ((mrel @ sK1 @ (sK2 @ X0 @ X1)) = $true) | ((mrel @ sK1 @ (sK2 @ X0 @ X1)) = $true) | ((string @ X0 @ sK1) = $false) | ($true = $false) | ((mrel @ mactual @ sK1) = $false)) )),
% 0.22/0.46 inference(superposition,[],[f175,f94])).
% 0.22/0.46 thf(f94,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK1 @ (sK3 @ X3 @ X1 @ X4 @ X2)) = $true) | ((mrel @ sK1 @ (sK2 @ X1 @ X2)) = $true)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f92])).
% 0.22/0.46 thf(f92,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK1 @ (sK2 @ X1 @ X2)) = $true) | (((mrel @ sK1 @ (sK3 @ X3 @ X1 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2)))))) = $false)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f91])).
% 0.22/0.46 thf(f91,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))) @ (sK3 @ X3 @ X1 @ X4 @ X2)) = $false) | ((mrel @ sK1 @ (sK2 @ X1 @ X2)) = $true)) )),
% 0.22/0.46 inference(sigma_clausification,[],[f90])).
% 0.22/0.46 thf(f90,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) = $false) | ((mrel @ sK1 @ (sK2 @ X1 @ X2)) = $true)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f88])).
% 0.22/0.46 thf(f175,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK3 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((mrel @ sK1 @ (sK2 @ X0 @ X1)) = $true) | ((string @ X0 @ X2) = $false) | ((mrel @ mactual @ X2) = $false) | ((entry_box @ X1 @ X2) = $false)) )),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f174])).
% 0.22/0.46 thf(f174,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ mactual @ X2) = $false) | ((entry_box @ X1 @ X2) = $false) | ($true = $false) | ((mrel @ sK1 @ (sK2 @ X0 @ X1)) = $true) | ((mrel @ X2 @ (sK3 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((string @ X0 @ X2) = $false)) )),
% 0.22/0.46 inference(duplicate_literal_removal,[],[f170])).
% 0.22/0.46 thf(f170,plain,(
% 0.22/0.46 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK3 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((entry_box @ X1 @ X2) = $false) | ((string @ X0 @ X2) = $false) | ((mrel @ sK1 @ (sK2 @ X0 @ X1)) = $true) | ((mrel @ mactual @ X2) = $false) | ($true = $false) | ((mrel @ sK1 @ (sK2 @ X0 @ X1)) = $true)) )),
% 0.22/0.46 inference(superposition,[],[f165,f97])).
% 0.22/0.46 thf(f97,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((in @ X1 @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK3 @ X3 @ X1 @ X4 @ X2)) = $false) | ((mrel @ sK1 @ (sK2 @ X1 @ X2)) = $true)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f96])).
% 0.22/0.46 thf(f96,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((do @ X4 @ X3 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK3 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK3 @ X3 @ X1 @ X4 @ X2))) = $false) | ((mrel @ sK1 @ (sK2 @ X1 @ X2)) = $true)) )),
% 0.22/0.46 inference(beta_eta_normalization,[],[f95])).
% 0.22/0.46 thf(f95,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK1 @ (sK2 @ X1 @ X2)) = $true) | (((^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2)))) @ (sK4 @ X1 @ X2 @ X3 @ X4)) = $false)) )),
% 0.22/0.46 inference(sigma_clausification,[],[f93])).
% 0.22/0.46 thf(f93,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2))))) = $false) | ((mrel @ sK1 @ (sK2 @ X1 @ X2)) = $true)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f92])).
% 0.22/0.46 thf(f165,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((in @ X2 @ X3 @ (sK4 @ X4 @ X5 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0) @ (sK3 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $true) | ((mrel @ X1 @ (sK3 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $false) | ((mrel @ sK1 @ (sK2 @ X4 @ X5)) = $true) | ($false = (string @ X2 @ X1)) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X3 @ X1) = $false)) )),
% 0.22/0.46 inference(trivial_inequality_removal,[],[f162])).
% 0.22/0.46 thf(f162,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((entry_box @ X3 @ X1) = $false) | ($true = $false) | ((mrel @ mactual @ X1) = $false) | ((mrel @ sK1 @ (sK2 @ X4 @ X5)) = $true) | ($false = (string @ X2 @ X1)) | ((in @ X2 @ X3 @ (sK4 @ X4 @ X5 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0) @ (sK3 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $true) | ((mrel @ X1 @ (sK3 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $false)) )),
% 0.22/0.46 inference(superposition,[],[f98,f130])).
% 0.22/0.46 thf(f98,plain,(
% 0.22/0.46 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((do @ X4 @ X3 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK3 @ X3 @ X1 @ X4 @ X2)) = $true) | ((mrel @ sK1 @ (sK2 @ X1 @ X2)) = $true)) )),
% 0.22/0.46 inference(binary_proxy_clausification,[],[f96])).
% 0.22/0.46 % SZS output end Proof for Vampire---4
% 0.22/0.46 % (21823)------------------------------
% 0.22/0.46 % (21823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (21823)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (21823)Memory used [KB]: 6268
% 0.22/0.46 % (21823)Time elapsed: 0.069 s
% 0.22/0.46 % (21823)Instructions burned: 80 (million)
% 0.22/0.46 % (21823)------------------------------
% 0.22/0.46 % (21823)------------------------------
% 0.22/0.46 % (21822)Success in time 0.085 s
% 0.22/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------