TSTP Solution File: NLP266^23 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NLP266^23 : TPTP v8.2.0. 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 01:03:30 EDT 2024
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NLP266^23 : TPTP v8.2.0. Released v8.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 21:38:53 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a TH0_THM_EQU_NAR problem
% 0.14/0.34 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % (359)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.36 % (352)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.36 % (353)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.36 % (355)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.36 % (356)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.36 % (357)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.36 % (354)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.36 % (358)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.36 % (355)Instruction limit reached!
% 0.14/0.36 % (355)------------------------------
% 0.14/0.36 % (355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (355)Termination reason: Unknown
% 0.14/0.36 % (355)Termination phase: shuffling
% 0.14/0.36 % (356)Instruction limit reached!
% 0.14/0.36 % (356)------------------------------
% 0.14/0.36 % (356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36
% 0.14/0.36 % (355)Memory used [KB]: 1023
% 0.14/0.36 % (355)Time elapsed: 0.003 s
% 0.14/0.36 % (355)Instructions burned: 2 (million)
% 0.14/0.36 % (355)------------------------------
% 0.14/0.36 % (355)------------------------------
% 0.14/0.36 % (356)Termination reason: Unknown
% 0.14/0.37 % (356)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (356)Memory used [KB]: 1023
% 0.14/0.37 % (356)Time elapsed: 0.003 s
% 0.14/0.37 % (356)Instructions burned: 2 (million)
% 0.14/0.37 % (356)------------------------------
% 0.14/0.37 % (356)------------------------------
% 0.14/0.37 % (359)Instruction limit reached!
% 0.14/0.37 % (359)------------------------------
% 0.14/0.37 % (359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (359)Termination reason: Unknown
% 0.14/0.37 % (359)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (359)Memory used [KB]: 1023
% 0.14/0.37 % (359)Time elapsed: 0.004 s
% 0.14/0.37 % (359)Instructions burned: 4 (million)
% 0.14/0.37 % (359)------------------------------
% 0.14/0.37 % (359)------------------------------
% 0.14/0.37 % (353)Instruction limit reached!
% 0.14/0.37 % (353)------------------------------
% 0.14/0.37 % (353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (353)Termination reason: Unknown
% 0.14/0.37 % (353)Termination phase: Preprocessing 3
% 0.14/0.37
% 0.14/0.37 % (353)Memory used [KB]: 1023
% 0.14/0.37 % (353)Time elapsed: 0.004 s
% 0.14/0.37 % (353)Instructions burned: 4 (million)
% 0.14/0.37 % (353)------------------------------
% 0.14/0.37 % (353)------------------------------
% 0.14/0.37 % (357)Refutation not found, incomplete strategy
% 0.14/0.37 % (357)------------------------------
% 0.14/0.37 % (357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (357)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (357)Memory used [KB]: 5500
% 0.14/0.37 % (357)Time elapsed: 0.006 s
% 0.14/0.37 % (357)Instructions burned: 7 (million)
% 0.14/0.37 % (357)------------------------------
% 0.14/0.37 % (357)------------------------------
% 0.14/0.37 % (358)Instruction limit reached!
% 0.14/0.37 % (358)------------------------------
% 0.14/0.37 % (358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (358)Termination reason: Unknown
% 0.14/0.37 % (358)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (358)Memory used [KB]: 5628
% 0.14/0.37 % (358)Time elapsed: 0.012 s
% 0.14/0.37 % (358)Instructions burned: 19 (million)
% 0.14/0.37 % (358)------------------------------
% 0.14/0.37 % (358)------------------------------
% 0.14/0.38 % (354)Instruction limit reached!
% 0.14/0.38 % (354)------------------------------
% 0.14/0.38 % (354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (354)Termination reason: Unknown
% 0.14/0.38 % (354)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (354)Memory used [KB]: 5756
% 0.14/0.38 % (354)Time elapsed: 0.017 s
% 0.14/0.38 % (354)Instructions burned: 27 (million)
% 0.14/0.38 % (354)------------------------------
% 0.14/0.38 % (354)------------------------------
% 0.14/0.38 % (360)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.38 % (361)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.38 % (363)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.14/0.38 % (364)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.38 % (362)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.38 % (362)Instruction limit reached!
% 0.14/0.38 % (362)------------------------------
% 0.14/0.38 % (362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (362)Termination reason: Unknown
% 0.14/0.38 % (362)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (362)Memory used [KB]: 1023
% 0.14/0.38 % (362)Time elapsed: 0.003 s
% 0.14/0.38 % (362)Instructions burned: 3 (million)
% 0.14/0.38 % (362)------------------------------
% 0.14/0.38 % (362)------------------------------
% 0.14/0.39 % (364)Instruction limit reached!
% 0.14/0.39 % (364)------------------------------
% 0.14/0.39 % (364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (364)Termination reason: Unknown
% 0.14/0.39 % (364)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (364)Memory used [KB]: 1023
% 0.14/0.39 % (364)Time elapsed: 0.005 s
% 0.14/0.39 % (364)Instructions burned: 8 (million)
% 0.14/0.39 % (364)------------------------------
% 0.14/0.39 % (364)------------------------------
% 0.14/0.39 % (361)Instruction limit reached!
% 0.14/0.39 % (361)------------------------------
% 0.14/0.39 % (361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (361)Termination reason: Unknown
% 0.14/0.39 % (361)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (361)Memory used [KB]: 5628
% 0.14/0.39 % (361)Time elapsed: 0.009 s
% 0.14/0.39 % (361)Instructions burned: 15 (million)
% 0.14/0.39 % (361)------------------------------
% 0.14/0.39 % (361)------------------------------
% 0.14/0.39 % (365)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.39 % (366)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.40 % (366)Instruction limit reached!
% 0.14/0.40 % (366)------------------------------
% 0.14/0.40 % (366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (366)Termination reason: Unknown
% 0.14/0.40 % (366)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (366)Memory used [KB]: 1023
% 0.14/0.40 % (366)Time elapsed: 0.004 s
% 0.14/0.40 % (366)Instructions burned: 3 (million)
% 0.14/0.40 % (366)------------------------------
% 0.14/0.40 % (366)------------------------------
% 0.14/0.40 % (365)Instruction limit reached!
% 0.14/0.40 % (365)------------------------------
% 0.14/0.40 % (365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (365)Termination reason: Unknown
% 0.14/0.40 % (365)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (365)Memory used [KB]: 5628
% 0.14/0.40 % (365)Time elapsed: 0.011 s
% 0.14/0.40 % (365)Instructions burned: 17 (million)
% 0.14/0.40 % (365)------------------------------
% 0.14/0.40 % (365)------------------------------
% 0.20/0.40 % (368)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.40 % (367)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.40 % (360)Instruction limit reached!
% 0.20/0.40 % (360)------------------------------
% 0.20/0.40 % (360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (360)Termination reason: Unknown
% 0.20/0.40 % (367)Instruction limit reached!
% 0.20/0.40 % (367)------------------------------
% 0.20/0.40 % (367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (367)Termination reason: Unknown
% 0.20/0.40 % (367)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (367)Memory used [KB]: 1023
% 0.20/0.40 % (367)Time elapsed: 0.003 s
% 0.20/0.40 % (367)Instructions burned: 3 (million)
% 0.20/0.40 % (367)------------------------------
% 0.20/0.40 % (367)------------------------------
% 0.20/0.40 % (360)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (360)Memory used [KB]: 5884
% 0.20/0.40 % (360)Time elapsed: 0.022 s
% 0.20/0.40 % (360)Instructions burned: 37 (million)
% 0.20/0.40 % (360)------------------------------
% 0.20/0.40 % (360)------------------------------
% 0.20/0.40 % (369)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.40 % (368)Instruction limit reached!
% 0.20/0.40 % (368)------------------------------
% 0.20/0.40 % (368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (368)Termination reason: Unknown
% 0.20/0.40 % (368)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (368)Memory used [KB]: 5500
% 0.20/0.40 % (368)Time elapsed: 0.005 s
% 0.20/0.40 % (368)Instructions burned: 8 (million)
% 0.20/0.40 % (368)------------------------------
% 0.20/0.40 % (368)------------------------------
% 0.20/0.40 % (369)Instruction limit reached!
% 0.20/0.40 % (369)------------------------------
% 0.20/0.40 % (369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (369)Termination reason: Unknown
% 0.20/0.40 % (369)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (369)Memory used [KB]: 1023
% 0.20/0.40 % (369)Time elapsed: 0.004 s
% 0.20/0.40 % (369)Instructions burned: 4 (million)
% 0.20/0.40 % (369)------------------------------
% 0.20/0.40 % (369)------------------------------
% 0.20/0.41 % (370)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.41 % (370)Instruction limit reached!
% 0.20/0.41 % (370)------------------------------
% 0.20/0.41 % (370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (370)Termination reason: Unknown
% 0.20/0.41 % (370)Termination phase: Preprocessing 3
% 0.20/0.41
% 0.20/0.41 % (370)Memory used [KB]: 1023
% 0.20/0.41 % (370)Time elapsed: 0.004 s
% 0.20/0.41 % (370)Instructions burned: 4 (million)
% 0.20/0.41 % (370)------------------------------
% 0.20/0.41 % (370)------------------------------
% 0.20/0.41 % (371)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.41 % (372)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.41 % (373)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.41 % (374)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.20/0.42 % (373)Instruction limit reached!
% 0.20/0.42 % (373)------------------------------
% 0.20/0.42 % (373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (373)Termination reason: Unknown
% 0.20/0.42 % (373)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (373)Memory used [KB]: 1023
% 0.20/0.42 % (373)Time elapsed: 0.005 s
% 0.20/0.42 % (373)Instructions burned: 7 (million)
% 0.20/0.42 % (373)------------------------------
% 0.20/0.42 % (373)------------------------------
% 0.20/0.42 % (374)Refutation not found, incomplete strategy
% 0.20/0.42 % (374)------------------------------
% 0.20/0.42 % (374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (374)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 % (374)Memory used [KB]: 5500
% 0.20/0.42 % (374)Time elapsed: 0.025 s
% 0.20/0.42 % (374)Instructions burned: 5 (million)
% 0.20/0.42 % (374)------------------------------
% 0.20/0.42 % (374)------------------------------
% 0.20/0.42 % (375)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.42 % (371)Instruction limit reached!
% 0.20/0.42 % (371)------------------------------
% 0.20/0.42 % (371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (371)Termination reason: Unknown
% 0.20/0.42 % (371)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (371)Memory used [KB]: 5628
% 0.20/0.42 % (371)Time elapsed: 0.013 s
% 0.20/0.42 % (371)Instructions burned: 18 (million)
% 0.20/0.42 % (371)------------------------------
% 0.20/0.42 % (371)------------------------------
% 0.20/0.43 % (378)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.43 % (376)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.43 % (375)Instruction limit reached!
% 0.20/0.43 % (375)------------------------------
% 0.20/0.43 % (375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (375)Termination reason: Unknown
% 0.20/0.43 % (375)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (375)Memory used [KB]: 5756
% 0.20/0.43 % (375)Time elapsed: 0.038 s
% 0.20/0.43 % (375)Instructions burned: 21 (million)
% 0.20/0.43 % (375)------------------------------
% 0.20/0.43 % (375)------------------------------
% 0.20/0.43 % (377)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.43 % (376)Instruction limit reached!
% 0.20/0.43 % (376)------------------------------
% 0.20/0.43 % (376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (376)Termination reason: Unknown
% 0.20/0.43 % (376)Termination phase: Function definition elimination
% 0.20/0.43
% 0.20/0.43 % (376)Memory used [KB]: 1023
% 0.20/0.43 % (376)Time elapsed: 0.006 s
% 0.20/0.43 % (376)Instructions burned: 5 (million)
% 0.20/0.43 % (376)------------------------------
% 0.20/0.43 % (376)------------------------------
% 0.20/0.43 % (377)Instruction limit reached!
% 0.20/0.43 % (377)------------------------------
% 0.20/0.43 % (377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (377)Termination reason: Unknown
% 0.20/0.44 % (377)Termination phase: Property scanning
% 0.20/0.44
% 0.20/0.44 % (377)Memory used [KB]: 1023
% 0.20/0.44 % (377)Time elapsed: 0.005 s
% 0.20/0.44 % (377)Instructions burned: 7 (million)
% 0.20/0.44 % (377)------------------------------
% 0.20/0.44 % (377)------------------------------
% 0.20/0.44 % (379)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.20/0.45 % (380)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.20/0.45 % (381)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.20/0.45 % (380)Refutation not found, incomplete strategy
% 0.20/0.45 % (380)------------------------------
% 0.20/0.45 % (380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (380)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % (380)Memory used [KB]: 5628
% 0.20/0.45 % (380)Time elapsed: 0.009 s
% 0.20/0.45 % (380)Instructions burned: 14 (million)
% 0.20/0.45 % (380)------------------------------
% 0.20/0.45 % (380)------------------------------
% 0.20/0.46 % (382)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.46 % (382)Instruction limit reached!
% 0.20/0.46 % (382)------------------------------
% 0.20/0.46 % (382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (382)Termination reason: Unknown
% 0.20/0.46 % (382)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (382)Memory used [KB]: 5628
% 0.20/0.46 % (382)Time elapsed: 0.011 s
% 0.20/0.46 % (382)Instructions burned: 18 (million)
% 0.20/0.46 % (382)------------------------------
% 0.20/0.46 % (382)------------------------------
% 0.20/0.47 % (383)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.47 % (383)Instruction limit reached!
% 0.20/0.47 % (383)------------------------------
% 0.20/0.47 % (383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (383)Termination reason: Unknown
% 0.20/0.47 % (383)Termination phase: Property scanning
% 0.20/0.47
% 0.20/0.47 % (383)Memory used [KB]: 1023
% 0.20/0.47 % (383)Time elapsed: 0.003 s
% 0.20/0.47 % (383)Instructions burned: 3 (million)
% 0.20/0.47 % (383)------------------------------
% 0.20/0.47 % (383)------------------------------
% 0.20/0.48 % (384)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.48 % (352)Instruction limit reached!
% 0.20/0.48 % (352)------------------------------
% 0.20/0.48 % (352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (352)Termination reason: Unknown
% 0.20/0.48 % (352)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (352)Memory used [KB]: 6268
% 0.20/0.48 % (352)Time elapsed: 0.115 s
% 0.20/0.48 % (352)Instructions burned: 183 (million)
% 0.20/0.48 % (352)------------------------------
% 0.20/0.48 % (352)------------------------------
% 0.20/0.48 % (385)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.20/0.49 % (384)Instruction limit reached!
% 0.20/0.49 % (384)------------------------------
% 0.20/0.49 % (384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (384)Termination reason: Unknown
% 0.20/0.49 % (384)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (384)Memory used [KB]: 5756
% 0.20/0.49 % (384)Time elapsed: 0.012 s
% 0.20/0.49 % (384)Instructions burned: 31 (million)
% 0.20/0.49 % (384)------------------------------
% 0.20/0.49 % (384)------------------------------
% 0.20/0.49 % (386)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.20/0.49 % (387)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.50 % (387)Instruction limit reached!
% 0.20/0.50 % (387)------------------------------
% 0.20/0.50 % (387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (387)Termination reason: Unknown
% 0.20/0.50 % (387)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (387)Memory used [KB]: 1023
% 0.20/0.50 % (387)Time elapsed: 0.002 s
% 0.20/0.50 % (387)Instructions burned: 3 (million)
% 0.20/0.50 % (387)------------------------------
% 0.20/0.50 % (387)------------------------------
% 0.20/0.50 % (388)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.20/0.51 % (388)Refutation not found, incomplete strategy
% 0.20/0.51 % (388)------------------------------
% 0.20/0.51 % (388)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (388)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 % (388)Memory used [KB]: 5628
% 0.20/0.51 % (388)Time elapsed: 0.004 s
% 0.20/0.51 % (388)Instructions burned: 6 (million)
% 0.20/0.51 % (388)------------------------------
% 0.20/0.51 % (388)------------------------------
% 0.20/0.52 % (389)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.20/0.52 % (385)Instruction limit reached!
% 0.20/0.52 % (385)------------------------------
% 0.20/0.52 % (385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52 % (385)Termination reason: Unknown
% 0.20/0.52 % (385)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (385)Memory used [KB]: 6140
% 0.20/0.52 % (385)Time elapsed: 0.045 s
% 0.20/0.52 % (385)Instructions burned: 129 (million)
% 0.20/0.52 % (385)------------------------------
% 0.20/0.52 % (385)------------------------------
% 0.20/0.53 % (390)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.20/0.54 % (378)Instruction limit reached!
% 0.20/0.54 % (378)------------------------------
% 0.20/0.54 % (378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (378)Termination reason: Unknown
% 0.20/0.54 % (378)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (378)Memory used [KB]: 6268
% 0.20/0.54 % (378)Time elapsed: 0.111 s
% 0.20/0.54 % (378)Instructions burned: 378 (million)
% 0.20/0.54 % (378)------------------------------
% 0.20/0.54 % (378)------------------------------
% 0.20/0.54 % (381)First to succeed.
% 0.20/0.54 % (386)Instruction limit reached!
% 0.20/0.54 % (386)------------------------------
% 0.20/0.54 % (386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (386)Termination reason: Unknown
% 0.20/0.54 % (386)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (386)Memory used [KB]: 6140
% 0.20/0.54 % (386)Time elapsed: 0.052 s
% 0.20/0.54 % (386)Instructions burned: 100 (million)
% 0.20/0.54 % (386)------------------------------
% 0.20/0.54 % (386)------------------------------
% 0.20/0.54 % (391)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.20/0.54 % (389)Instruction limit reached!
% 0.20/0.54 % (389)------------------------------
% 0.20/0.54 % (389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (389)Termination reason: Unknown
% 0.20/0.54 % (389)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (389)Memory used [KB]: 6140
% 0.20/0.54 % (389)Time elapsed: 0.030 s
% 0.20/0.54 % (389)Instructions burned: 88 (million)
% 0.20/0.54 % (389)------------------------------
% 0.20/0.54 % (389)------------------------------
% 0.20/0.55 % (381)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% 0.20/0.55 thf(type_def_5, type, mworld: $tType).
% 0.20/0.55 thf(func_def_0, type, mworld: $tType).
% 0.20/0.55 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.20/0.55 thf(func_def_2, type, mactual: mworld).
% 0.20/0.55 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.20/0.55 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.20/0.55 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.20/0.55 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.20/0.55 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.20/0.55 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.20/0.55 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.20/0.55 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.20/0.55 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.20/0.55 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.20/0.55 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.20/0.55 thf(func_def_17, type, number: $i > $i > mworld > $o).
% 0.20/0.55 thf(func_def_18, type, string: $i > mworld > $o).
% 0.20/0.55 thf(func_def_19, type, in: $i > $i > $i > mworld > $o).
% 0.20/0.55 thf(func_def_20, type, do: $i > $i > $i > mworld > $o).
% 0.20/0.55 thf(func_def_21, type, entry_box: $i > mworld > $o).
% 0.20/0.55 thf(func_def_22, type, userid: $i > $i > mworld > $o).
% 0.20/0.55 thf(func_def_38, type, sK0: mworld > $i).
% 0.20/0.55 thf(func_def_40, type, sK2: mworld > $i).
% 0.20/0.55 thf(func_def_45, type, sK4: mworld > $i > $i > $i > $i).
% 0.20/0.55 thf(func_def_46, type, sK5: mworld).
% 0.20/0.55 thf(func_def_47, type, sK6: $i > $i > mworld).
% 0.20/0.55 thf(func_def_48, type, sK7: $i > $i > $i > $i > mworld).
% 0.20/0.55 thf(func_def_49, type, sK8: $i > $i > $i > $i > $i).
% 0.20/0.55 thf(func_def_50, type, sK9: $i > $i > $i > $i > $i).
% 0.20/0.55 thf(f735,plain,(
% 0.20/0.55 $false),
% 0.20/0.55 inference(avatar_sat_refutation,[],[f365,f385,f397,f607,f648,f655,f695,f704,f734])).
% 0.20/0.55 thf(f734,plain,(
% 0.20/0.55 spl1_7 | ~spl1_8),
% 0.20/0.55 inference(avatar_contradiction_clause,[],[f733])).
% 0.20/0.55 thf(f733,plain,(
% 0.20/0.55 $false | (spl1_7 | ~spl1_8)),
% 0.20/0.55 inference(subsumption_resolution,[],[f729,f638])).
% 0.20/0.55 thf(f638,plain,(
% 0.20/0.55 ($false != (mrel @ mactual @ (sK6 @ (sK2 @ mactual) @ sK3))) | spl1_7),
% 0.20/0.55 inference(avatar_component_clause,[],[f637])).
% 0.20/0.55 thf(f637,plain,(
% 0.20/0.55 spl1_7 <=> ($false = (mrel @ mactual @ (sK6 @ (sK2 @ mactual) @ sK3)))),
% 0.20/0.55 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
% 0.20/0.55 thf(f729,plain,(
% 0.20/0.55 ($false = (mrel @ mactual @ (sK6 @ (sK2 @ mactual) @ sK3))) | ~spl1_8),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f727])).
% 0.20/0.55 thf(f727,plain,(
% 0.20/0.55 ($false = (mrel @ mactual @ (sK6 @ (sK2 @ mactual) @ sK3))) | ($true = $false) | ~spl1_8),
% 0.20/0.55 inference(superposition,[],[f643,f106])).
% 0.20/0.55 thf(f106,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : (($true = (entry_box @ sK3 @ X1)) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f105])).
% 0.20/0.55 thf(f105,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : ((((number @ sK3 @ one @ X1) & (entry_box @ sK3 @ X1)) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f104])).
% 0.20/0.55 thf(f104,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : (($true = ((mrel @ mactual @ X1) => ((number @ sK3 @ one @ X1) & (entry_box @ sK3 @ X1))))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f103])).
% 0.20/0.55 thf(f103,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((number @ sK3 @ one @ Y0) & (entry_box @ sK3 @ Y0)))) @ X1))) )),
% 0.20/0.55 inference(pi_clausification,[],[f102])).
% 0.20/0.55 thf(f102,plain,(
% 0.20/0.55 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((number @ sK3 @ one @ Y0) & (entry_box @ sK3 @ Y0))))))),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f100])).
% 0.20/0.55 thf(f100,plain,(
% 0.20/0.55 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((number @ sK3 @ one @ Y0) & (entry_box @ sK3 @ Y0))))) & (eiw_di @ sK3 @ mactual)) = $true)),
% 0.20/0.55 inference(beta_eta_normalization,[],[f99])).
% 0.20/0.55 thf(f99,plain,(
% 0.20/0.55 (((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((number @ Y0 @ one @ Y1) & (entry_box @ Y0 @ Y1))))) & (eiw_di @ Y0 @ mactual))) @ sK3) = $true)),
% 0.20/0.55 inference(sigma_clausification,[],[f98])).
% 0.20/0.55 thf(f98,plain,(
% 0.20/0.55 ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((number @ Y0 @ one @ Y1) & (entry_box @ Y0 @ Y1))))) & (eiw_di @ Y0 @ mactual)))) = $true)),
% 0.20/0.55 inference(beta_eta_normalization,[],[f84])).
% 0.20/0.55 thf(f84,plain,(
% 0.20/0.55 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ 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]: ((Y2 @ Y3) & (Y1 @ Y3))))))) @ (entry_box @ Y0) @ (number @ Y0 @ one)))))) = $true)),
% 0.20/0.55 inference(definition_unfolding,[],[f72,f79,f67,f71,f75])).
% 0.20/0.55 thf(f75,plain,(
% 0.20/0.55 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f35])).
% 0.20/0.55 thf(f35,plain,(
% 0.20/0.55 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.20/0.55 inference(fool_elimination,[],[f34])).
% 0.20/0.55 thf(f34,plain,(
% 0.20/0.55 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))) = mand)),
% 0.20/0.55 inference(rectify,[],[f3])).
% 0.20/0.55 thf(f3,axiom,(
% 0.20/0.55 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))) = mand)),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def)).
% 0.20/0.55 thf(f71,plain,(
% 0.20/0.55 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f25])).
% 0.20/0.55 thf(f25,plain,(
% 0.20/0.55 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.20/0.55 inference(fool_elimination,[],[f24])).
% 0.20/0.55 thf(f24,plain,(
% 0.20/0.55 (mbox = (^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))))),
% 0.20/0.55 inference(rectify,[],[f7])).
% 0.20/0.55 thf(f7,axiom,(
% 0.20/0.55 (mbox = (^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))))),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def)).
% 0.20/0.55 thf(f67,plain,(
% 0.20/0.55 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f37])).
% 0.20/0.55 thf(f37,plain,(
% 0.20/0.55 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.20/0.55 inference(fool_elimination,[],[f36])).
% 0.20/0.55 thf(f36,plain,(
% 0.20/0.55 ((^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))) = mexists_di)),
% 0.20/0.55 inference(rectify,[],[f14])).
% 0.20/0.55 thf(f14,axiom,(
% 0.20/0.55 ((^[X1 : $i > mworld > $o, X2 : mworld] : (? [X6] : ((eiw_di @ X6 @ X2) & (X1 @ X6 @ X2)))) = mexists_di)),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def)).
% 0.20/0.55 thf(f79,plain,(
% 0.20/0.55 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.20/0.55 inference(cnf_transformation,[],[f23])).
% 0.20/0.55 thf(f23,plain,(
% 0.20/0.55 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.20/0.55 inference(fool_elimination,[],[f1])).
% 0.20/0.55 thf(f1,axiom,(
% 0.20/0.55 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.20/0.55 thf(f72,plain,(
% 0.20/0.55 ($true = (mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (entry_box @ Y0) @ (number @ Y0 @ one)))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f41])).
% 0.20/0.55 thf(f41,plain,(
% 0.20/0.55 ($true = (mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (entry_box @ Y0) @ (number @ Y0 @ one)))))))),
% 0.20/0.55 inference(fool_elimination,[],[f40])).
% 0.20/0.55 thf(f40,plain,(
% 0.20/0.55 (mlocal @ (mexists_di @ (^[X0 : $i] : (mbox @ (mand @ (entry_box @ X0) @ (number @ X0 @ one))))))),
% 0.20/0.55 inference(rectify,[],[f16])).
% 0.20/0.55 thf(f16,axiom,(
% 0.20/0.55 (mlocal @ (mexists_di @ (^[X3 : $i] : (mbox @ (mand @ (entry_box @ X3) @ (number @ X3 @ one))))))),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)).
% 0.20/0.55 thf(f643,plain,(
% 0.20/0.55 ((entry_box @ sK3 @ (sK6 @ (sK2 @ mactual) @ sK3)) = $false) | ~spl1_8),
% 0.20/0.55 inference(avatar_component_clause,[],[f641])).
% 0.20/0.55 thf(f641,plain,(
% 0.20/0.55 spl1_8 <=> ((entry_box @ sK3 @ (sK6 @ (sK2 @ mactual) @ sK3)) = $false)),
% 0.20/0.55 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 0.20/0.55 thf(f704,plain,(
% 0.20/0.55 ~spl1_9),
% 0.20/0.55 inference(avatar_contradiction_clause,[],[f703])).
% 0.20/0.55 thf(f703,plain,(
% 0.20/0.55 $false | ~spl1_9),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f702])).
% 0.20/0.55 thf(f702,plain,(
% 0.20/0.55 ($true = $false) | ~spl1_9),
% 0.20/0.55 inference(backward_demodulation,[],[f138,f701])).
% 0.20/0.55 thf(f701,plain,(
% 0.20/0.55 ($false = (mrel @ mactual @ sK5)) | ~spl1_9),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f700])).
% 0.20/0.55 thf(f700,plain,(
% 0.20/0.55 ($true = $false) | ($false = (mrel @ mactual @ sK5)) | ~spl1_9),
% 0.20/0.55 inference(forward_demodulation,[],[f699,f77])).
% 0.20/0.55 thf(f77,plain,(
% 0.20/0.55 ( ! [X0 : mworld] : (((mrel @ X0 @ X0) = $true)) )),
% 0.20/0.55 inference(cnf_transformation,[],[f33])).
% 0.20/0.55 thf(f33,plain,(
% 0.20/0.55 ! [X0 : mworld] : ((mrel @ X0 @ X0) = $true)),
% 0.20/0.55 inference(fool_elimination,[],[f32])).
% 0.20/0.55 thf(f32,plain,(
% 0.20/0.55 ! [X0 : mworld] : (mrel @ X0 @ X0)),
% 0.20/0.55 inference(rectify,[],[f9])).
% 0.20/0.55 thf(f9,axiom,(
% 0.20/0.55 ! [X2 : mworld] : (mrel @ X2 @ X2)),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive)).
% 0.20/0.55 thf(f699,plain,(
% 0.20/0.55 ($false = (mrel @ mactual @ mactual)) | ($false = (mrel @ mactual @ sK5)) | ~spl1_9),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f696])).
% 0.20/0.55 thf(f696,plain,(
% 0.20/0.55 ($false = (mrel @ mactual @ mactual)) | ($false = (mrel @ mactual @ sK5)) | ($true = $false) | ~spl1_9),
% 0.20/0.55 inference(superposition,[],[f647,f97])).
% 0.20/0.55 thf(f97,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X1 : mworld] : (((string @ (sK2 @ X1) @ X2) = $true) | ((mrel @ X1 @ X2) = $false) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f95])).
% 0.20/0.55 thf(f95,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((string @ (sK2 @ X1) @ X2) & (userid @ u @ (sK2 @ X1) @ X2)) = $true) | ((mrel @ X1 @ X2) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f94])).
% 0.20/0.55 thf(f94,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X1 : mworld] : ((((mrel @ X1 @ X2) => ((string @ (sK2 @ X1) @ X2) & (userid @ u @ (sK2 @ X1) @ X2))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f93])).
% 0.20/0.55 thf(f93,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((string @ (sK2 @ X1) @ Y0) & (userid @ u @ (sK2 @ X1) @ Y0)))) @ X2) = $true)) )),
% 0.20/0.55 inference(pi_clausification,[],[f92])).
% 0.20/0.55 thf(f92,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((string @ (sK2 @ X1) @ Y0) & (userid @ u @ (sK2 @ X1) @ Y0))))) = $true)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f90])).
% 0.20/0.55 thf(f90,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((string @ (sK2 @ X1) @ Y0) & (userid @ u @ (sK2 @ X1) @ Y0))))) & (eiw_di @ (sK2 @ X1) @ X1)) = $true)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f89])).
% 0.20/0.55 thf(f89,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((string @ Y0 @ Y1) & (userid @ u @ Y0 @ Y1))))) & (eiw_di @ Y0 @ X1))) @ (sK2 @ X1)) = $true)) )),
% 0.20/0.55 inference(sigma_clausification,[],[f88])).
% 0.20/0.55 thf(f88,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : (($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((string @ Y0 @ Y1) & (userid @ u @ Y0 @ Y1))))) & (eiw_di @ Y0 @ X1))))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f87])).
% 0.20/0.55 thf(f87,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((string @ Y0 @ Y1) & (userid @ u @ Y0 @ Y1))))) & (eiw_di @ Y0 @ X1))))) = $true)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f86])).
% 0.20/0.55 thf(f86,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((string @ Y1 @ Y2) & (userid @ u @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0)))))) @ X1) = $true)) )),
% 0.20/0.55 inference(pi_clausification,[],[f85])).
% 0.20/0.55 thf(f85,plain,(
% 0.20/0.55 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((string @ Y1 @ Y2) & (userid @ u @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0))))))) = $true)),
% 0.20/0.55 inference(beta_eta_normalization,[],[f83])).
% 0.20/0.55 thf(f83,plain,(
% 0.20/0.55 (((^[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) & (eiw_di @ 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]: ((Y2 @ Y3) & (Y1 @ Y3))))))) @ (userid @ u @ Y0) @ (string @ Y0))))))) = $true)),
% 0.20/0.55 inference(definition_unfolding,[],[f70,f79,f71,f67,f71,f75])).
% 0.20/0.55 thf(f70,plain,(
% 0.20/0.55 ($true = (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (userid @ u @ Y0) @ (string @ Y0))))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f22])).
% 0.20/0.55 thf(f22,plain,(
% 0.20/0.55 ($true = (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (userid @ u @ Y0) @ (string @ Y0))))))))),
% 0.20/0.55 inference(fool_elimination,[],[f21])).
% 0.20/0.55 thf(f21,plain,(
% 0.20/0.55 (mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (mbox @ (mand @ (userid @ u @ X0) @ (string @ X0)))))))),
% 0.20/0.55 inference(rectify,[],[f15])).
% 0.20/0.55 thf(f15,axiom,(
% 0.20/0.55 (mlocal @ (mbox @ (mexists_di @ (^[X7 : $i] : (mbox @ (mand @ (userid @ u @ X7) @ (string @ X7)))))))),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)).
% 0.20/0.55 thf(f647,plain,(
% 0.20/0.55 ((string @ (sK2 @ mactual) @ sK5) = $false) | ~spl1_9),
% 0.20/0.55 inference(avatar_component_clause,[],[f645])).
% 0.20/0.55 thf(f645,plain,(
% 0.20/0.55 spl1_9 <=> ((string @ (sK2 @ mactual) @ sK5) = $false)),
% 0.20/0.55 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
% 0.20/0.55 thf(f138,plain,(
% 0.20/0.55 ($true = (mrel @ mactual @ sK5))),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f136])).
% 0.20/0.55 thf(f136,plain,(
% 0.20/0.55 (((mrel @ mactual @ sK5) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK5 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK5 @ Y4) => (((number @ Y1 @ one @ Y4) & (entry_box @ Y1 @ Y4)) & (userid @ u @ Y0 @ Y4)))))) & (eiw_di @ Y3 @ sK5)))) & (eiw_di @ Y2 @ sK5)))) & (eiw_di @ Y1 @ sK5)))) & (eiw_di @ Y0 @ sK5))))) = $false)),
% 0.20/0.55 inference(beta_eta_normalization,[],[f135])).
% 0.20/0.55 thf(f135,plain,(
% 0.20/0.55 (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ Y5) => ((do @ Y4 @ Y3 @ Y6 @ Y5) => (in @ Y1 @ Y2 @ Y6 @ Y5)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (((number @ Y2 @ one @ Y5) & (entry_box @ Y2 @ Y5)) & (userid @ u @ Y1 @ Y5)))))) & (eiw_di @ Y4 @ Y0)))) & (eiw_di @ Y3 @ Y0)))) & (eiw_di @ Y2 @ Y0)))) & (eiw_di @ Y1 @ Y0)))))) @ sK5) = $false)),
% 0.20/0.55 inference(sigma_clausification,[],[f134])).
% 0.20/0.55 thf(f134,plain,(
% 0.20/0.55 ($true != (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ Y5) => ((do @ Y4 @ Y3 @ Y6 @ Y5) => (in @ Y1 @ Y2 @ Y6 @ Y5)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (((number @ Y2 @ one @ Y5) & (entry_box @ Y2 @ Y5)) & (userid @ u @ Y1 @ Y5)))))) & (eiw_di @ Y4 @ Y0)))) & (eiw_di @ Y3 @ Y0)))) & (eiw_di @ Y2 @ Y0)))) & (eiw_di @ Y1 @ Y0))))))))),
% 0.20/0.55 inference(beta_eta_normalization,[],[f82])).
% 0.20/0.55 thf(f82,plain,(
% 0.20/0.55 (((^[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) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) & (eiw_di @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) & (eiw_di @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) & (eiw_di @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ (userid @ u @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ 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]: ((eiw_di @ Y6 @ Y5) => (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)),
% 0.20/0.55 inference(definition_unfolding,[],[f68,f79,f71,f67,f67,f67,f67,f75,f71,f75,f75,f71,f74,f64])).
% 0.20/0.55 thf(f64,plain,(
% 0.20/0.55 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f55])).
% 0.20/0.55 thf(f55,plain,(
% 0.20/0.55 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.20/0.55 inference(fool_elimination,[],[f54])).
% 0.20/0.55 thf(f54,plain,(
% 0.20/0.55 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 0.20/0.55 inference(rectify,[],[f5])).
% 0.20/0.55 thf(f5,axiom,(
% 0.20/0.55 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 0.20/0.55 thf(f74,plain,(
% 0.20/0.55 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.20/0.55 inference(cnf_transformation,[],[f29])).
% 0.20/0.55 thf(f29,plain,(
% 0.20/0.55 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.20/0.55 inference(fool_elimination,[],[f28])).
% 0.20/0.55 thf(f28,plain,(
% 0.20/0.55 (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 0.20/0.55 inference(rectify,[],[f13])).
% 0.20/0.55 thf(f13,axiom,(
% 0.20/0.55 (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X6] : ((eiw_di @ X6 @ X2) => (X1 @ X6 @ X2)))))),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def)).
% 0.20/0.55 thf(f68,plain,(
% 0.20/0.55 ((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)),
% 0.20/0.55 inference(cnf_transformation,[],[f56])).
% 0.20/0.55 thf(f56,plain,(
% 0.20/0.55 ((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)),
% 0.20/0.55 inference(flattening,[],[f39])).
% 0.20/0.55 thf(f39,plain,(
% 0.20/0.55 ~((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)),
% 0.20/0.55 inference(fool_elimination,[],[f38])).
% 0.20/0.55 thf(f38,plain,(
% 0.20/0.55 ~(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))))))))))))))))),
% 0.20/0.55 inference(rectify,[],[f19])).
% 0.20/0.55 thf(f19,negated_conjecture,(
% 0.20/0.55 ~(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))))))))))))))))),
% 0.20/0.55 inference(negated_conjecture,[],[f18])).
% 0.20/0.55 thf(f18,conjecture,(
% 0.20/0.55 (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))))))))))))))))),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.20/0.55 thf(f695,plain,(
% 0.20/0.55 spl1_9 | ~spl1_2 | spl1_4 | ~spl1_7),
% 0.20/0.55 inference(avatar_split_clause,[],[f694,f637,f598,f360,f645])).
% 0.20/0.55 thf(f360,plain,(
% 0.20/0.55 spl1_2 <=> ! [X2,X1] : (((entry_box @ X2 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((string @ X1 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true))),
% 0.20/0.55 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.20/0.55 thf(f598,plain,(
% 0.20/0.55 spl1_4 <=> ((entry_box @ sK3 @ sK5) = $false)),
% 0.20/0.55 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
% 0.20/0.55 thf(f694,plain,(
% 0.20/0.55 ((string @ (sK2 @ mactual) @ sK5) = $false) | (~spl1_2 | spl1_4 | ~spl1_7)),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f693])).
% 0.20/0.55 thf(f693,plain,(
% 0.20/0.55 ((string @ (sK2 @ mactual) @ sK5) = $false) | ($true = $false) | (~spl1_2 | spl1_4 | ~spl1_7)),
% 0.20/0.55 inference(forward_demodulation,[],[f692,f225])).
% 0.20/0.55 thf(f225,plain,(
% 0.20/0.55 ($true = (eiw_di @ sK3 @ sK5))),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f224])).
% 0.20/0.55 thf(f224,plain,(
% 0.20/0.55 ($true = (eiw_di @ sK3 @ sK5)) | ($true != $true)),
% 0.20/0.55 inference(superposition,[],[f219,f190])).
% 0.20/0.55 thf(f190,plain,(
% 0.20/0.55 ((mrel @ sK5 @ mactual) = $true)),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f188])).
% 0.20/0.55 thf(f188,plain,(
% 0.20/0.55 ((mrel @ sK5 @ mactual) = $true) | ($true != $true)),
% 0.20/0.55 inference(superposition,[],[f182,f138])).
% 0.20/0.55 thf(f182,plain,(
% 0.20/0.55 ( ! [X0 : mworld,X1 : mworld] : (((mrel @ X0 @ X1) != $true) | ((mrel @ X1 @ X0) = $true)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f181])).
% 0.20/0.55 thf(f181,plain,(
% 0.20/0.55 ( ! [X0 : mworld,X1 : mworld] : (((mrel @ X1 @ X0) = $true) | ((mrel @ X0 @ X1) != $true) | ($true != $true)) )),
% 0.20/0.55 inference(superposition,[],[f63,f77])).
% 0.20/0.55 thf(f63,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : (((mrel @ X0 @ X2) != $true) | ((mrel @ X1 @ X2) = $true) | ((mrel @ X0 @ X1) != $true)) )),
% 0.20/0.55 inference(cnf_transformation,[],[f58])).
% 0.20/0.55 thf(f58,plain,(
% 0.20/0.55 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X1 @ X2) = $true) | ((mrel @ X0 @ X2) != $true) | ((mrel @ X0 @ X1) != $true))),
% 0.20/0.55 inference(flattening,[],[f57])).
% 0.20/0.55 thf(f57,plain,(
% 0.20/0.55 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X1 @ X2) = $true) | (((mrel @ X0 @ X1) != $true) | ((mrel @ X0 @ X2) != $true)))),
% 0.20/0.55 inference(ennf_transformation,[],[f31])).
% 0.20/0.55 thf(f31,plain,(
% 0.20/0.55 ! [X0 : mworld,X1 : mworld,X2 : mworld] : ((((mrel @ X0 @ X1) = $true) & ((mrel @ X0 @ X2) = $true)) => ((mrel @ X1 @ X2) = $true))),
% 0.20/0.55 inference(fool_elimination,[],[f30])).
% 0.20/0.55 thf(f30,plain,(
% 0.20/0.55 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X0 @ X2) & (mrel @ X0 @ X1)) => (mrel @ X1 @ X2))),
% 0.20/0.55 inference(rectify,[],[f10])).
% 0.20/0.55 thf(f10,axiom,(
% 0.20/0.55 ! [X2 : mworld,X5 : mworld,X4 : mworld] : (((mrel @ X2 @ X4) & (mrel @ X2 @ X5)) => (mrel @ X5 @ X4))),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_euclidean)).
% 0.20/0.55 thf(f219,plain,(
% 0.20/0.55 ( ! [X0 : mworld] : (((mrel @ X0 @ mactual) != $true) | ((eiw_di @ sK3 @ X0) = $true)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f211])).
% 0.20/0.55 thf(f211,plain,(
% 0.20/0.55 ( ! [X0 : mworld] : (((mrel @ X0 @ mactual) != $true) | ((eiw_di @ sK3 @ X0) = $true) | ($true != $true)) )),
% 0.20/0.55 inference(superposition,[],[f80,f101])).
% 0.20/0.55 thf(f101,plain,(
% 0.20/0.55 ($true = (eiw_di @ sK3 @ mactual))),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f100])).
% 0.20/0.55 thf(f80,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X0 : mworld,X1 : $i] : (($true != (eiw_di @ X1 @ X2)) | ((eiw_di @ X1 @ X0) = $true) | ((mrel @ X0 @ X2) != $true)) )),
% 0.20/0.55 inference(cnf_transformation,[],[f60])).
% 0.20/0.55 thf(f60,plain,(
% 0.20/0.55 ! [X0 : mworld,X1,X2 : mworld] : (($true != (eiw_di @ X1 @ X2)) | ((mrel @ X0 @ X2) != $true) | ((eiw_di @ X1 @ X0) = $true))),
% 0.20/0.55 inference(flattening,[],[f59])).
% 0.20/0.55 thf(f59,plain,(
% 0.20/0.55 ! [X0 : mworld,X1,X2 : mworld] : (((eiw_di @ X1 @ X0) = $true) | (($true != (eiw_di @ X1 @ X2)) | ((mrel @ X0 @ X2) != $true)))),
% 0.20/0.55 inference(ennf_transformation,[],[f51])).
% 0.20/0.55 thf(f51,plain,(
% 0.20/0.55 ! [X0 : mworld,X1,X2 : mworld] : ((($true = (eiw_di @ X1 @ X2)) & ((mrel @ X0 @ X2) = $true)) => ((eiw_di @ X1 @ X0) = $true))),
% 0.20/0.55 inference(fool_elimination,[],[f50])).
% 0.20/0.55 thf(f50,plain,(
% 0.20/0.55 ! [X0 : mworld,X1,X2 : mworld] : (((mrel @ X0 @ X2) & (eiw_di @ X1 @ X2)) => (eiw_di @ X1 @ X0))),
% 0.20/0.55 inference(rectify,[],[f12])).
% 0.20/0.55 thf(f12,axiom,(
% 0.20/0.55 ! [X4 : mworld,X6,X2 : mworld] : (((mrel @ X4 @ X2) & (eiw_di @ X6 @ X2)) => (eiw_di @ X6 @ X4))),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_decr)).
% 0.20/0.55 thf(f692,plain,(
% 0.20/0.55 ((string @ (sK2 @ mactual) @ sK5) = $false) | ($false = (eiw_di @ sK3 @ sK5)) | (~spl1_2 | spl1_4 | ~spl1_7)),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f691])).
% 0.20/0.55 thf(f691,plain,(
% 0.20/0.55 ($false = (eiw_di @ sK3 @ sK5)) | ((string @ (sK2 @ mactual) @ sK5) = $false) | ($true = $false) | (~spl1_2 | spl1_4 | ~spl1_7)),
% 0.20/0.55 inference(forward_demodulation,[],[f690,f300])).
% 0.20/0.55 thf(f300,plain,(
% 0.20/0.55 ((eiw_di @ (sK2 @ mactual) @ sK5) = $true)),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f299])).
% 0.20/0.55 thf(f299,plain,(
% 0.20/0.55 ($true = $false) | ((eiw_di @ (sK2 @ mactual) @ sK5) = $true)),
% 0.20/0.55 inference(forward_demodulation,[],[f295,f77])).
% 0.20/0.55 thf(f295,plain,(
% 0.20/0.55 ((eiw_di @ (sK2 @ mactual) @ sK5) = $true) | ($false = (mrel @ mactual @ mactual))),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f293])).
% 0.20/0.55 thf(f293,plain,(
% 0.20/0.55 ($false = (mrel @ mactual @ mactual)) | ((eiw_di @ (sK2 @ mactual) @ sK5) = $true) | ($true != $true)),
% 0.20/0.55 inference(superposition,[],[f220,f190])).
% 0.20/0.55 thf(f220,plain,(
% 0.20/0.55 ( ! [X0 : mworld,X1 : mworld] : (((mrel @ X1 @ X0) != $true) | ((mrel @ mactual @ X0) = $false) | ((eiw_di @ (sK2 @ X0) @ X1) = $true)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f212])).
% 0.20/0.55 thf(f212,plain,(
% 0.20/0.55 ( ! [X0 : mworld,X1 : mworld] : (((mrel @ mactual @ X0) = $false) | ((eiw_di @ (sK2 @ X0) @ X1) = $true) | ((mrel @ X1 @ X0) != $true) | ($true != $true)) )),
% 0.20/0.55 inference(superposition,[],[f80,f91])).
% 0.20/0.55 thf(f91,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : (((eiw_di @ (sK2 @ X1) @ X1) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f90])).
% 0.20/0.55 thf(f690,plain,(
% 0.20/0.55 ((eiw_di @ (sK2 @ mactual) @ sK5) = $false) | ((string @ (sK2 @ mactual) @ sK5) = $false) | ($false = (eiw_di @ sK3 @ sK5)) | (~spl1_2 | spl1_4 | ~spl1_7)),
% 0.20/0.55 inference(subsumption_resolution,[],[f682,f599])).
% 0.20/0.55 thf(f599,plain,(
% 0.20/0.55 ((entry_box @ sK3 @ sK5) != $false) | spl1_4),
% 0.20/0.55 inference(avatar_component_clause,[],[f598])).
% 0.20/0.55 thf(f682,plain,(
% 0.20/0.55 ($false = (eiw_di @ sK3 @ sK5)) | ((entry_box @ sK3 @ sK5) = $false) | ((eiw_di @ (sK2 @ mactual) @ sK5) = $false) | ((string @ (sK2 @ mactual) @ sK5) = $false) | (~spl1_2 | ~spl1_7)),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f676])).
% 0.20/0.55 thf(f676,plain,(
% 0.20/0.55 ((entry_box @ sK3 @ sK5) = $false) | ($false = (eiw_di @ sK3 @ sK5)) | ($true = $false) | ((string @ (sK2 @ mactual) @ sK5) = $false) | ((eiw_di @ (sK2 @ mactual) @ sK5) = $false) | (~spl1_2 | ~spl1_7)),
% 0.20/0.55 inference(superposition,[],[f500,f639])).
% 0.20/0.55 thf(f639,plain,(
% 0.20/0.55 ($false = (mrel @ mactual @ (sK6 @ (sK2 @ mactual) @ sK3))) | ~spl1_7),
% 0.20/0.55 inference(avatar_component_clause,[],[f637])).
% 0.20/0.55 thf(f500,plain,(
% 0.20/0.55 ( ! [X0 : $i,X1 : $i] : (($true = (mrel @ mactual @ (sK6 @ X0 @ X1))) | ((entry_box @ X1 @ sK5) = $false) | ((string @ X0 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false)) ) | ~spl1_2),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f498])).
% 0.20/0.55 thf(f498,plain,(
% 0.20/0.55 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X1 @ sK5) = $false) | ((entry_box @ X1 @ sK5) = $false) | ((string @ X0 @ sK5) = $false) | ($true = (mrel @ mactual @ (sK6 @ X0 @ X1))) | ((eiw_di @ X0 @ sK5) = $false) | ($true != $true)) ) | ~spl1_2),
% 0.20/0.55 inference(superposition,[],[f182,f459])).
% 0.20/0.55 thf(f459,plain,(
% 0.20/0.55 ( ! [X0 : $i,X1 : $i] : (((mrel @ (sK6 @ X0 @ X1) @ mactual) = $true) | ((eiw_di @ X1 @ sK5) = $false) | ((entry_box @ X1 @ sK5) = $false) | ((string @ X0 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false)) ) | ~spl1_2),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f452])).
% 0.20/0.55 thf(f452,plain,(
% 0.20/0.55 ( ! [X0 : $i,X1 : $i] : (((mrel @ (sK6 @ X0 @ X1) @ mactual) = $true) | ($true != $true) | ((string @ X0 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((entry_box @ X1 @ sK5) = $false)) ) | ~spl1_2),
% 0.20/0.55 inference(superposition,[],[f198,f361])).
% 0.20/0.55 thf(f361,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : $i] : (((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ((eiw_di @ X2 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ((string @ X1 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false)) ) | ~spl1_2),
% 0.20/0.55 inference(avatar_component_clause,[],[f360])).
% 0.20/0.55 thf(f198,plain,(
% 0.20/0.55 ( ! [X0 : mworld] : (((mrel @ sK5 @ X0) != $true) | ((mrel @ X0 @ mactual) = $true)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f196])).
% 0.20/0.55 thf(f196,plain,(
% 0.20/0.55 ( ! [X0 : mworld] : (($true != $true) | ((mrel @ X0 @ mactual) = $true) | ((mrel @ sK5 @ X0) != $true)) )),
% 0.20/0.55 inference(superposition,[],[f63,f190])).
% 0.20/0.55 thf(f655,plain,(
% 0.20/0.55 ~spl1_4),
% 0.20/0.55 inference(avatar_contradiction_clause,[],[f654])).
% 0.20/0.55 thf(f654,plain,(
% 0.20/0.55 $false | ~spl1_4),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f653])).
% 0.20/0.55 thf(f653,plain,(
% 0.20/0.55 ($true = $false) | ~spl1_4),
% 0.20/0.55 inference(backward_demodulation,[],[f138,f652])).
% 0.20/0.55 thf(f652,plain,(
% 0.20/0.55 ($false = (mrel @ mactual @ sK5)) | ~spl1_4),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f649])).
% 0.20/0.55 thf(f649,plain,(
% 0.20/0.55 ($true = $false) | ($false = (mrel @ mactual @ sK5)) | ~spl1_4),
% 0.20/0.55 inference(superposition,[],[f600,f106])).
% 0.20/0.55 thf(f600,plain,(
% 0.20/0.55 ((entry_box @ sK3 @ sK5) = $false) | ~spl1_4),
% 0.20/0.55 inference(avatar_component_clause,[],[f598])).
% 0.20/0.55 thf(f648,plain,(
% 0.20/0.55 spl1_7 | spl1_8 | spl1_9 | ~spl1_5),
% 0.20/0.55 inference(avatar_split_clause,[],[f635,f602,f645,f641,f637])).
% 0.20/0.55 thf(f602,plain,(
% 0.20/0.55 spl1_5 <=> ! [X0 : mworld] : (((mrel @ mactual @ X0) = $false) | ((mrel @ mactual @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((mrel @ X0 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((string @ (sK2 @ X0) @ sK5) = $false) | ((entry_box @ sK3 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((eiw_di @ (sK2 @ X0) @ sK5) = $false))),
% 0.20/0.55 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
% 0.20/0.55 thf(f635,plain,(
% 0.20/0.55 ((entry_box @ sK3 @ (sK6 @ (sK2 @ mactual) @ sK3)) = $false) | ($false = (mrel @ mactual @ (sK6 @ (sK2 @ mactual) @ sK3))) | ((string @ (sK2 @ mactual) @ sK5) = $false) | ~spl1_5),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f634])).
% 0.20/0.55 thf(f634,plain,(
% 0.20/0.55 ($true = $false) | ((entry_box @ sK3 @ (sK6 @ (sK2 @ mactual) @ sK3)) = $false) | ($false = (mrel @ mactual @ (sK6 @ (sK2 @ mactual) @ sK3))) | ((string @ (sK2 @ mactual) @ sK5) = $false) | ~spl1_5),
% 0.20/0.55 inference(forward_demodulation,[],[f633,f77])).
% 0.20/0.55 thf(f633,plain,(
% 0.20/0.55 ((string @ (sK2 @ mactual) @ sK5) = $false) | ($false = (mrel @ mactual @ mactual)) | ((entry_box @ sK3 @ (sK6 @ (sK2 @ mactual) @ sK3)) = $false) | ($false = (mrel @ mactual @ (sK6 @ (sK2 @ mactual) @ sK3))) | ~spl1_5),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f632])).
% 0.20/0.55 thf(f632,plain,(
% 0.20/0.55 ($false = (mrel @ mactual @ mactual)) | ($true = $false) | ((entry_box @ sK3 @ (sK6 @ (sK2 @ mactual) @ sK3)) = $false) | ($false = (mrel @ mactual @ (sK6 @ (sK2 @ mactual) @ sK3))) | ((string @ (sK2 @ mactual) @ sK5) = $false) | ~spl1_5),
% 0.20/0.55 inference(forward_demodulation,[],[f618,f300])).
% 0.20/0.55 thf(f618,plain,(
% 0.20/0.55 ((eiw_di @ (sK2 @ mactual) @ sK5) = $false) | ((string @ (sK2 @ mactual) @ sK5) = $false) | ((entry_box @ sK3 @ (sK6 @ (sK2 @ mactual) @ sK3)) = $false) | ($false = (mrel @ mactual @ (sK6 @ (sK2 @ mactual) @ sK3))) | ($false = (mrel @ mactual @ mactual)) | ~spl1_5),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f617])).
% 0.20/0.55 thf(f617,plain,(
% 0.20/0.55 ($false = (mrel @ mactual @ (sK6 @ (sK2 @ mactual) @ sK3))) | ($false = (mrel @ mactual @ mactual)) | ((string @ (sK2 @ mactual) @ sK5) = $false) | ((eiw_di @ (sK2 @ mactual) @ sK5) = $false) | ((entry_box @ sK3 @ (sK6 @ (sK2 @ mactual) @ sK3)) = $false) | ($false != $false) | ~spl1_5),
% 0.20/0.55 inference(equality_factoring,[],[f603])).
% 0.20/0.55 thf(f603,plain,(
% 0.20/0.55 ( ! [X0 : mworld] : (((mrel @ mactual @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((string @ (sK2 @ X0) @ sK5) = $false) | ((mrel @ mactual @ X0) = $false) | ((entry_box @ sK3 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((eiw_di @ (sK2 @ X0) @ sK5) = $false) | ((mrel @ X0 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false)) ) | ~spl1_5),
% 0.20/0.55 inference(avatar_component_clause,[],[f602])).
% 0.20/0.55 thf(f607,plain,(
% 0.20/0.55 spl1_4 | spl1_5 | ~spl1_3),
% 0.20/0.55 inference(avatar_split_clause,[],[f606,f380,f602,f598])).
% 0.20/0.55 thf(f380,plain,(
% 0.20/0.55 spl1_3 <=> ! [X2,X1] : (((string @ X1 @ sK5) = $false) | ((entry_box @ X2 @ (sK6 @ X1 @ X2)) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((number @ X2 @ one @ (sK6 @ X1 @ X2)) = $false) | ((entry_box @ X2 @ sK5) = $false))),
% 0.20/0.55 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.20/0.55 thf(f606,plain,(
% 0.20/0.55 ( ! [X0 : mworld] : (((entry_box @ sK3 @ sK5) = $false) | ((mrel @ X0 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((eiw_di @ (sK2 @ X0) @ sK5) = $false) | ((entry_box @ sK3 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((mrel @ mactual @ X0) = $false) | ((mrel @ mactual @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((string @ (sK2 @ X0) @ sK5) = $false)) ) | ~spl1_3),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f605])).
% 0.20/0.55 thf(f605,plain,(
% 0.20/0.55 ( ! [X0 : mworld] : (((entry_box @ sK3 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((entry_box @ sK3 @ sK5) = $false) | ((string @ (sK2 @ X0) @ sK5) = $false) | ((mrel @ X0 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ($true = $false) | ((mrel @ mactual @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((mrel @ mactual @ X0) = $false) | ((eiw_di @ (sK2 @ X0) @ sK5) = $false)) ) | ~spl1_3),
% 0.20/0.55 inference(forward_demodulation,[],[f593,f225])).
% 0.20/0.55 thf(f593,plain,(
% 0.20/0.55 ( ! [X0 : mworld] : (((mrel @ X0 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((mrel @ mactual @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((string @ (sK2 @ X0) @ sK5) = $false) | ((mrel @ mactual @ X0) = $false) | ((eiw_di @ (sK2 @ X0) @ sK5) = $false) | ((entry_box @ sK3 @ sK5) = $false) | ($false = (eiw_di @ sK3 @ sK5)) | ((entry_box @ sK3 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false)) ) | ~spl1_3),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f591])).
% 0.20/0.55 thf(f591,plain,(
% 0.20/0.55 ( ! [X0 : mworld] : (((entry_box @ sK3 @ sK5) = $false) | ($true = $false) | ($false = (eiw_di @ sK3 @ sK5)) | ((mrel @ X0 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((eiw_di @ (sK2 @ X0) @ sK5) = $false) | ((mrel @ mactual @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((mrel @ mactual @ X0) = $false) | ((entry_box @ sK3 @ (sK6 @ (sK2 @ X0) @ sK3)) = $false) | ((string @ (sK2 @ X0) @ sK5) = $false)) ) | ~spl1_3),
% 0.20/0.55 inference(superposition,[],[f588,f107])).
% 0.20/0.55 thf(f107,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : (((number @ sK3 @ one @ X1) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f105])).
% 0.20/0.55 thf(f588,plain,(
% 0.20/0.55 ( ! [X0 : mworld,X1 : $i] : (((number @ X1 @ one @ (sK6 @ (sK2 @ X0) @ X1)) = $false) | ($false = (entry_box @ X1 @ (sK6 @ (sK2 @ X0) @ X1))) | ((mrel @ mactual @ X0) = $false) | ((entry_box @ X1 @ sK5) = $false) | ((eiw_di @ (sK2 @ X0) @ sK5) = $false) | ((mrel @ X0 @ (sK6 @ (sK2 @ X0) @ X1)) = $false) | ((string @ (sK2 @ X0) @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false)) ) | ~spl1_3),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f586])).
% 0.20/0.55 thf(f586,plain,(
% 0.20/0.55 ( ! [X0 : mworld,X1 : $i] : (($false = (entry_box @ X1 @ (sK6 @ (sK2 @ X0) @ X1))) | ((mrel @ mactual @ X0) = $false) | ((eiw_di @ (sK2 @ X0) @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((mrel @ X0 @ (sK6 @ (sK2 @ X0) @ X1)) = $false) | ((number @ X1 @ one @ (sK6 @ (sK2 @ X0) @ X1)) = $false) | ((entry_box @ X1 @ sK5) = $false) | ((string @ (sK2 @ X0) @ sK5) = $false) | ($true = $false)) ) | ~spl1_3),
% 0.20/0.55 inference(superposition,[],[f96,f381])).
% 0.20/0.55 thf(f381,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : $i] : (($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((eiw_di @ X2 @ sK5) = $false) | ((number @ X2 @ one @ (sK6 @ X1 @ X2)) = $false) | ((entry_box @ X2 @ (sK6 @ X1 @ X2)) = $false) | ((string @ X1 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false)) ) | ~spl1_3),
% 0.20/0.55 inference(avatar_component_clause,[],[f380])).
% 0.20/0.55 thf(f96,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X1 : mworld] : (((userid @ u @ (sK2 @ X1) @ X2) = $true) | ((mrel @ X1 @ X2) = $false) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f95])).
% 0.20/0.55 thf(f397,plain,(
% 0.20/0.55 ~spl1_1),
% 0.20/0.55 inference(avatar_contradiction_clause,[],[f396])).
% 0.20/0.55 thf(f396,plain,(
% 0.20/0.55 $false | ~spl1_1),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f386])).
% 0.20/0.55 thf(f386,plain,(
% 0.20/0.55 ($true = $false) | ~spl1_1),
% 0.20/0.55 inference(backward_demodulation,[],[f250,f358])).
% 0.20/0.55 thf(f358,plain,(
% 0.20/0.55 ( ! [X0 : $i] : (((eiw_di @ X0 @ sK5) = $false)) ) | ~spl1_1),
% 0.20/0.55 inference(avatar_component_clause,[],[f357])).
% 0.20/0.55 thf(f357,plain,(
% 0.20/0.55 spl1_1 <=> ! [X0] : ((eiw_di @ X0 @ sK5) = $false)),
% 0.20/0.55 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.20/0.55 thf(f250,plain,(
% 0.20/0.55 ((eiw_di @ (sK0 @ mactual) @ sK5) = $true)),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f245])).
% 0.20/0.55 thf(f245,plain,(
% 0.20/0.55 ($true != $true) | ((eiw_di @ (sK0 @ mactual) @ sK5) = $true)),
% 0.20/0.55 inference(superposition,[],[f217,f190])).
% 0.20/0.55 thf(f217,plain,(
% 0.20/0.55 ( ! [X0 : mworld,X1 : mworld] : (((mrel @ X1 @ X0) != $true) | ((eiw_di @ (sK0 @ X0) @ X1) = $true)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f213])).
% 0.20/0.55 thf(f213,plain,(
% 0.20/0.55 ( ! [X0 : mworld,X1 : mworld] : (((eiw_di @ (sK0 @ X0) @ X1) = $true) | ((mrel @ X1 @ X0) != $true) | ($true != $true)) )),
% 0.20/0.55 inference(superposition,[],[f80,f69])).
% 0.20/0.55 thf(f69,plain,(
% 0.20/0.55 ( ! [X0 : mworld] : (((eiw_di @ (sK0 @ X0) @ X0) = $true)) )),
% 0.20/0.55 inference(cnf_transformation,[],[f62])).
% 0.20/0.55 thf(f62,plain,(
% 0.20/0.55 ! [X0 : mworld] : ((eiw_di @ (sK0 @ X0) @ X0) = $true)),
% 0.20/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f43,f61])).
% 0.20/0.55 thf(f61,plain,(
% 0.20/0.55 ! [X0 : mworld] : (? [X1] : ((eiw_di @ X1 @ X0) = $true) => ((eiw_di @ (sK0 @ X0) @ X0) = $true))),
% 0.20/0.55 introduced(choice_axiom,[])).
% 0.20/0.55 thf(f43,plain,(
% 0.20/0.55 ! [X0 : mworld] : ? [X1] : ((eiw_di @ X1 @ X0) = $true)),
% 0.20/0.55 inference(fool_elimination,[],[f42])).
% 0.20/0.55 thf(f42,plain,(
% 0.20/0.55 ! [X0 : mworld] : ? [X1] : (eiw_di @ X1 @ X0)),
% 0.20/0.55 inference(rectify,[],[f11])).
% 0.20/0.55 thf(f11,axiom,(
% 0.20/0.55 ! [X2 : mworld] : ? [X6] : (eiw_di @ X6 @ X2)),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_nonempty)).
% 0.20/0.55 thf(f385,plain,(
% 0.20/0.55 spl1_3 | spl1_1),
% 0.20/0.55 inference(avatar_split_clause,[],[f384,f357,f380])).
% 0.20/0.55 thf(f384,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((string @ X1 @ sK5) = $false) | ((entry_box @ X2 @ (sK6 @ X1 @ X2)) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ((number @ X2 @ one @ (sK6 @ X1 @ X2)) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f383])).
% 0.20/0.55 thf(f383,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((entry_box @ X2 @ (sK6 @ X1 @ X2)) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ($true = $false) | ((string @ X1 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((number @ X2 @ one @ (sK6 @ X1 @ X2)) = $false) | ((entry_box @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(forward_demodulation,[],[f374,f138])).
% 0.20/0.55 thf(f374,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((string @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((number @ X2 @ one @ (sK6 @ X1 @ X2)) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ($false = (mrel @ mactual @ sK5)) | ((eiw_di @ X0 @ sK5) = $false) | ((entry_box @ X2 @ (sK6 @ X1 @ X2)) = $false)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f373])).
% 0.20/0.55 thf(f373,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X2 @ sK5) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((number @ X2 @ one @ (sK6 @ X1 @ X2)) = $false) | ((string @ X1 @ sK5) = $false) | ((entry_box @ X2 @ (sK6 @ X1 @ X2)) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($true = $false) | ((entry_box @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ($false = (mrel @ mactual @ sK5))) )),
% 0.20/0.55 inference(duplicate_literal_removal,[],[f370])).
% 0.20/0.55 thf(f370,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((entry_box @ X2 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($false = (mrel @ mactual @ sK5)) | ((number @ X2 @ one @ (sK6 @ X1 @ X2)) = $false) | ((entry_box @ X2 @ (sK6 @ X1 @ X2)) = $false) | ((string @ X1 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((string @ X1 @ sK5) = $false) | ($true = $false)) )),
% 0.20/0.55 inference(superposition,[],[f344,f125])).
% 0.20/0.55 thf(f125,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($true = (eiw_di @ (sK4 @ X1 @ X2 @ X3 @ X4) @ X1)) | ($false = (eiw_di @ X3 @ X1)) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false) | ($false = (eiw_di @ X4 @ X1)) | ((string @ X3 @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f124])).
% 0.20/0.55 thf(f124,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((entry_box @ X4 @ X1) = $false) | ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0)))))))) & (eiw_di @ (sK4 @ X1 @ X2 @ X3 @ X4) @ X1))) | ((string @ X3 @ X1) = $false) | ($false = (eiw_di @ X4 @ X1)) | ((eiw_di @ X2 @ X1) = $false) | ($false = (eiw_di @ X3 @ X1)) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f123])).
% 0.20/0.55 thf(f123,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($false = (eiw_di @ X3 @ X1)) | (((entry_box @ X4 @ X1) & (string @ X3 @ X1)) = $false) | ($false = (eiw_di @ X4 @ X1)) | ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0)))))))) & (eiw_di @ (sK4 @ X1 @ X2 @ X3 @ X4) @ X1))) | ((eiw_di @ X2 @ X1) = $false) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f122])).
% 0.20/0.55 thf(f122,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : ((((entry_box @ X4 @ X1) & (string @ X3 @ X1)) = $false) | ((eiw_di @ X2 @ X1) = $false) | ($false = (eiw_di @ X3 @ X1)) | (((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))) & (eiw_di @ Y0 @ X1))) @ (sK4 @ X1 @ X2 @ X3 @ X4)) = $true) | ((mrel @ mactual @ X1) = $false) | ($false = (eiw_di @ X4 @ X1))) )),
% 0.20/0.55 inference(sigma_clausification,[],[f121])).
% 0.20/0.55 thf(f121,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((mrel @ mactual @ X1) = $false) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))) & (eiw_di @ Y0 @ X1)))) = $true) | ($false = (eiw_di @ X3 @ X1)) | ($false = (eiw_di @ X4 @ X1)) | ((eiw_di @ X2 @ X1) = $false) | (((entry_box @ X4 @ X1) & (string @ X3 @ X1)) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f120])).
% 0.20/0.55 thf(f120,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($false = (eiw_di @ X4 @ X1)) | ($true = (((entry_box @ X4 @ X1) & (string @ X3 @ X1)) => (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))) & (eiw_di @ Y0 @ X1)))))) | ((mrel @ mactual @ X1) = $false) | ($false = (eiw_di @ X3 @ X1)) | ((eiw_di @ X2 @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f119])).
% 0.20/0.55 thf(f119,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : ((((eiw_di @ X4 @ X1) => (((entry_box @ X4 @ X1) & (string @ X3 @ X1)) => (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))) & (eiw_di @ Y0 @ X1)))))) = $true) | ((eiw_di @ X2 @ X1) = $false) | ($false = (eiw_di @ X3 @ X1)) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f118])).
% 0.20/0.55 thf(f118,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((eiw_di @ X2 @ X1) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (((entry_box @ Y0 @ X1) & (string @ X3 @ X1)) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2)))))))) & (eiw_di @ Y1 @ X1))))))) @ X4) = $true) | ((mrel @ mactual @ X1) = $false) | ($false = (eiw_di @ X3 @ X1))) )),
% 0.20/0.55 inference(pi_clausification,[],[f117])).
% 0.20/0.55 thf(f117,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (((entry_box @ Y0 @ X1) & (string @ X3 @ X1)) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2)))))))) & (eiw_di @ Y1 @ X1)))))))) = $true) | ($false = (eiw_di @ X3 @ X1))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f116])).
% 0.20/0.55 thf(f116,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld] : (((eiw_di @ X2 @ X1) = $false) | ($true = ((eiw_di @ X3 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (((entry_box @ Y0 @ X1) & (string @ X3 @ X1)) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2)))))))) & (eiw_di @ Y1 @ X1)))))))))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f115])).
% 0.20/0.55 thf(f115,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld] : (((eiw_di @ X2 @ X1) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (((entry_box @ Y1 @ X1) & (string @ Y0 @ X1)) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3)))))))) & (eiw_di @ Y2 @ X1)))))))))) @ X3) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(pi_clausification,[],[f114])).
% 0.20/0.55 thf(f114,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (((entry_box @ Y1 @ X1) & (string @ Y0 @ X1)) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3)))))))) & (eiw_di @ Y2 @ X1))))))))))) = $true) | ((eiw_di @ X2 @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f113])).
% 0.20/0.55 thf(f113,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : mworld] : ((((eiw_di @ X2 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (((entry_box @ Y1 @ X1) & (string @ Y0 @ X1)) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3)))))))) & (eiw_di @ Y2 @ X1)))))))))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f112])).
% 0.20/0.55 thf(f112,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : mworld] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ X1) => (((entry_box @ Y2 @ X1) & (string @ Y1 @ X1)) => (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4)))))))) & (eiw_di @ Y3 @ X1))))))))))))) @ X2) = $true) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(pi_clausification,[],[f111])).
% 0.20/0.55 thf(f111,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ X1) => (((entry_box @ Y2 @ X1) & (string @ Y1 @ X1)) => (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4)))))))) & (eiw_di @ Y3 @ X1)))))))))))))) = $true)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f110])).
% 0.20/0.55 thf(f110,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ X1) => (((entry_box @ Y2 @ X1) & (string @ Y1 @ X1)) => (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4)))))))) & (eiw_di @ Y3 @ X1))))))))))))))) = $true)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f109])).
% 0.20/0.55 thf(f109,plain,(
% 0.20/0.55 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) => (((entry_box @ Y3 @ Y0) & (string @ Y2 @ Y0)) => (?? @ $i @ (^[Y4 : $i]: ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ Y5) => ((do @ Y1 @ Y4 @ Y6 @ Y5) => (in @ Y2 @ Y3 @ Y6 @ Y5)))))))) & (eiw_di @ Y4 @ Y0)))))))))))))))) @ X1) = $true)) )),
% 0.20/0.55 inference(pi_clausification,[],[f108])).
% 0.20/0.55 thf(f108,plain,(
% 0.20/0.55 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) => (((entry_box @ Y3 @ Y0) & (string @ Y2 @ Y0)) => (?? @ $i @ (^[Y4 : $i]: ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ Y5) => ((do @ Y1 @ Y4 @ Y6 @ Y5) => (in @ Y2 @ Y3 @ Y6 @ Y5)))))))) & (eiw_di @ Y4 @ Y0))))))))))))))))) = $true)),
% 0.20/0.55 inference(beta_eta_normalization,[],[f81])).
% 0.20/0.55 thf(f81,plain,(
% 0.20/0.55 ($true = ((^[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]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (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]: ((Y4 @ Y5) & (Y3 @ Y5))))))) @ (string @ Y1) @ (entry_box @ Y2)) @ ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) & (eiw_di @ 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]: ((eiw_di @ Y6 @ Y5) => (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)))))))))))))))))),
% 0.20/0.55 inference(definition_unfolding,[],[f65,f79,f71,f74,f74,f74,f64,f75,f67,f71,f74,f64])).
% 0.20/0.55 thf(f65,plain,(
% 0.20/0.55 ((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)),
% 0.20/0.55 inference(cnf_transformation,[],[f49])).
% 0.20/0.55 thf(f49,plain,(
% 0.20/0.55 ((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)),
% 0.20/0.55 inference(fool_elimination,[],[f48])).
% 0.20/0.55 thf(f48,plain,(
% 0.20/0.55 (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))))))))))))))))),
% 0.20/0.55 inference(rectify,[],[f17])).
% 0.20/0.55 thf(f17,axiom,(
% 0.20/0.55 (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))))))))))))))))),
% 0.20/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)).
% 0.20/0.55 thf(f344,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($false = (userid @ u @ X0 @ (sK6 @ X0 @ X2))) | ((string @ X0 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((number @ X2 @ one @ (sK6 @ X0 @ X2)) = $false) | ((entry_box @ X2 @ (sK6 @ X0 @ X2)) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f343])).
% 0.20/0.55 thf(f343,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | ((entry_box @ X2 @ (sK6 @ X0 @ X2)) = $false) | ((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((string @ X0 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($false = (userid @ u @ X0 @ (sK6 @ X0 @ X2))) | ((number @ X2 @ one @ (sK6 @ X0 @ X2)) = $false) | ((entry_box @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(forward_demodulation,[],[f342,f138])).
% 0.20/0.55 thf(f342,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((entry_box @ X2 @ (sK6 @ X0 @ X2)) = $false) | ($false = (mrel @ mactual @ sK5)) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((string @ X0 @ sK5) = $false) | ($false = (userid @ u @ X0 @ (sK6 @ X0 @ X2))) | ((entry_box @ X2 @ sK5) = $false) | ((number @ X2 @ one @ (sK6 @ X0 @ X2)) = $false)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f341])).
% 0.20/0.55 thf(f341,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((number @ X2 @ one @ (sK6 @ X0 @ X2)) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((string @ X0 @ sK5) = $false) | ((entry_box @ X2 @ (sK6 @ X0 @ X2)) = $false) | ($false = (userid @ u @ X0 @ (sK6 @ X0 @ X2))) | ((entry_box @ X2 @ sK5) = $false) | ($false = (mrel @ mactual @ sK5)) | ($true = $false) | ((eiw_di @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(duplicate_literal_removal,[],[f324])).
% 0.20/0.55 thf(f324,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (userid @ u @ X0 @ (sK6 @ X0 @ X2))) | ($true = $false) | ($false = (userid @ u @ X0 @ (sK6 @ X0 @ X2))) | ((string @ X0 @ sK5) = $false) | ((entry_box @ X2 @ (sK6 @ X0 @ X2)) = $false) | ((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ($false = (mrel @ mactual @ sK5)) | ((eiw_di @ X0 @ sK5) = $false) | ((number @ X2 @ one @ (sK6 @ X0 @ X2)) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((entry_box @ X2 @ (sK6 @ X0 @ X2)) = $false) | ((number @ X2 @ one @ (sK6 @ X0 @ X2)) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(superposition,[],[f288,f169])).
% 0.20/0.55 thf(f169,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK5 @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true) | ($false = (eiw_di @ X4 @ sK5)) | ((number @ X2 @ one @ (sK6 @ X1 @ X2)) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((entry_box @ X2 @ (sK6 @ X1 @ X2)) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((eiw_di @ X1 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f168])).
% 0.20/0.55 thf(f168,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | (((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((mrel @ sK5 @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true) | ((eiw_di @ X3 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f167])).
% 0.20/0.55 thf(f167,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) & (userid @ u @ X1 @ (sK6 @ X1 @ X2))) = $false) | ((mrel @ sK5 @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f156])).
% 0.20/0.55 thf(f156,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((mrel @ sK5 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2))))))) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5)) | ((((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) & (userid @ u @ X1 @ (sK6 @ X1 @ X2))) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f155])).
% 0.20/0.55 thf(f155,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((mrel @ sK5 @ (sK6 @ X1 @ X2)) => (((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) & (userid @ u @ X1 @ (sK6 @ X1 @ X2)))) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | (((mrel @ sK5 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2))))))) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f154])).
% 0.20/0.55 thf(f154,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | (((^[Y0 : mworld]: ((mrel @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $false) | (((mrel @ sK5 @ (sK6 @ X1 @ X2)) => (((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) & (userid @ u @ X1 @ (sK6 @ X1 @ X2)))) = $false) | ($false = (eiw_di @ X4 @ sK5))) )),
% 0.20/0.55 inference(sigma_clausification,[],[f153])).
% 0.20/0.55 thf(f153,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))))) = $false) | (((mrel @ sK5 @ (sK6 @ X1 @ X2)) => (((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) & (userid @ u @ X1 @ (sK6 @ X1 @ X2)))) = $false) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f152])).
% 0.20/0.55 thf(f152,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ sK5) = $false) | (((^[Y0 : mworld]: ((mrel @ sK5 @ Y0) => (((number @ X2 @ one @ Y0) & (entry_box @ X2 @ Y0)) & (userid @ u @ X1 @ Y0)))) @ (sK6 @ X1 @ X2)) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))))) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5))) )),
% 0.20/0.55 inference(sigma_clausification,[],[f151])).
% 0.20/0.55 thf(f151,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK5 @ Y0) => (((number @ X2 @ one @ Y0) & (entry_box @ X2 @ Y0)) & (userid @ u @ X1 @ Y0))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))))) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f150])).
% 0.20/0.55 thf(f150,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK5 @ Y0) => (((number @ X2 @ one @ Y0) & (entry_box @ X2 @ Y0)) & (userid @ u @ X1 @ Y0)))))) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f149])).
% 0.20/0.55 thf(f149,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK5 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK5 @ Y0) => (((number @ X2 @ one @ Y0) & (entry_box @ X2 @ Y0)) & (userid @ u @ X1 @ Y0)))))) & (eiw_di @ X4 @ sK5))) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f148])).
% 0.20/0.55 thf(f148,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | (((^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK5 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK5 @ Y1) => (((number @ X2 @ one @ Y1) & (entry_box @ X2 @ Y1)) & (userid @ u @ X1 @ Y1)))))) & (eiw_di @ Y0 @ sK5))) @ X4) = $false)) )),
% 0.20/0.55 inference(pi_clausification,[],[f147])).
% 0.20/0.55 thf(f147,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK5 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK5 @ Y1) => (((number @ X2 @ one @ Y1) & (entry_box @ X2 @ Y1)) & (userid @ u @ X1 @ Y1)))))) & (eiw_di @ Y0 @ sK5)))) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f146])).
% 0.20/0.55 thf(f146,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK5 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK5 @ Y1) => (((number @ X2 @ one @ Y1) & (entry_box @ X2 @ Y1)) & (userid @ u @ X1 @ Y1)))))) & (eiw_di @ Y0 @ sK5)))) & (eiw_di @ X3 @ sK5))) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f145])).
% 0.20/0.55 thf(f145,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK5 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK5 @ Y2) => (((number @ X2 @ one @ Y2) & (entry_box @ X2 @ Y2)) & (userid @ u @ X1 @ Y2)))))) & (eiw_di @ Y1 @ sK5)))) & (eiw_di @ Y0 @ sK5))) @ X3) = $false)) )),
% 0.20/0.55 inference(pi_clausification,[],[f144])).
% 0.20/0.55 thf(f144,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK5 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK5 @ Y2) => (((number @ X2 @ one @ Y2) & (entry_box @ X2 @ Y2)) & (userid @ u @ X1 @ Y2)))))) & (eiw_di @ Y1 @ sK5)))) & (eiw_di @ Y0 @ sK5)))) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f143])).
% 0.20/0.55 thf(f143,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ sK5) = $false) | (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK5 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK5 @ Y2) => (((number @ X2 @ one @ Y2) & (entry_box @ X2 @ Y2)) & (userid @ u @ X1 @ Y2)))))) & (eiw_di @ Y1 @ sK5)))) & (eiw_di @ Y0 @ sK5)))) & (eiw_di @ X2 @ sK5)) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f142])).
% 0.20/0.55 thf(f142,plain,(
% 0.20/0.55 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ sK5) = $false) | ($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK5 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK5 @ Y3) => (((number @ Y0 @ one @ Y3) & (entry_box @ Y0 @ Y3)) & (userid @ u @ X1 @ Y3)))))) & (eiw_di @ Y2 @ sK5)))) & (eiw_di @ Y1 @ sK5)))) & (eiw_di @ Y0 @ sK5))) @ X2))) )),
% 0.20/0.55 inference(pi_clausification,[],[f141])).
% 0.20/0.55 thf(f141,plain,(
% 0.20/0.55 ( ! [X1 : $i] : (((eiw_di @ X1 @ sK5) = $false) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK5 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK5 @ Y3) => (((number @ Y0 @ one @ Y3) & (entry_box @ Y0 @ Y3)) & (userid @ u @ X1 @ Y3)))))) & (eiw_di @ Y2 @ sK5)))) & (eiw_di @ Y1 @ sK5)))) & (eiw_di @ Y0 @ sK5)))))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f140])).
% 0.20/0.55 thf(f140,plain,(
% 0.20/0.55 ( ! [X1 : $i] : ((((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK5 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK5 @ Y3) => (((number @ Y0 @ one @ Y3) & (entry_box @ Y0 @ Y3)) & (userid @ u @ X1 @ Y3)))))) & (eiw_di @ Y2 @ sK5)))) & (eiw_di @ Y1 @ sK5)))) & (eiw_di @ Y0 @ sK5)))) & (eiw_di @ X1 @ sK5)) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f139])).
% 0.20/0.55 thf(f139,plain,(
% 0.20/0.55 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK5 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK5 @ Y4) => (((number @ Y1 @ one @ Y4) & (entry_box @ Y1 @ Y4)) & (userid @ u @ Y0 @ Y4)))))) & (eiw_di @ Y3 @ sK5)))) & (eiw_di @ Y2 @ sK5)))) & (eiw_di @ Y1 @ sK5)))) & (eiw_di @ Y0 @ sK5))) @ X1))) )),
% 0.20/0.55 inference(pi_clausification,[],[f137])).
% 0.20/0.55 thf(f137,plain,(
% 0.20/0.55 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK5 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK5 @ Y4) => (((number @ Y1 @ one @ Y4) & (entry_box @ Y1 @ Y4)) & (userid @ u @ Y0 @ Y4)))))) & (eiw_di @ Y3 @ sK5)))) & (eiw_di @ Y2 @ sK5)))) & (eiw_di @ Y1 @ sK5)))) & (eiw_di @ Y0 @ sK5)))) = $false)),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f136])).
% 0.20/0.55 thf(f288,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld] : (((mrel @ X1 @ (sK7 @ X0 @ (sK4 @ X1 @ X2 @ X0 @ X3) @ X2 @ X3)) = $false) | ($false = (string @ X0 @ X1)) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X0 @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false) | ($false = (entry_box @ X3 @ (sK6 @ X0 @ X3))) | ($false = (eiw_di @ X3 @ X1)) | ((eiw_di @ (sK4 @ X1 @ X2 @ X0 @ X3) @ sK5) = $false) | ((number @ X3 @ one @ (sK6 @ X0 @ X3)) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((mrel @ mactual @ X1) = $false) | ((userid @ u @ X0 @ (sK6 @ X0 @ X3)) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((entry_box @ X3 @ X1) = $false)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f287])).
% 0.20/0.55 thf(f287,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld] : (((eiw_di @ X0 @ sK5) = $false) | ((mrel @ mactual @ X1) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ($false = (entry_box @ X3 @ (sK6 @ X0 @ X3))) | ((eiw_di @ X0 @ X1) = $false) | ($false = (eiw_di @ X3 @ X1)) | ((userid @ u @ X0 @ (sK6 @ X0 @ X3)) = $false) | ((eiw_di @ X2 @ X1) = $false) | ((mrel @ X1 @ (sK7 @ X0 @ (sK4 @ X1 @ X2 @ X0 @ X3) @ X2 @ X3)) = $false) | ((entry_box @ X3 @ X1) = $false) | ((eiw_di @ (sK4 @ X1 @ X2 @ X0 @ X3) @ sK5) = $false) | ((number @ X3 @ one @ (sK6 @ X0 @ X3)) = $false) | ($false = (string @ X0 @ X1)) | ((eiw_di @ X3 @ sK5) = $false) | ($true = $false)) )),
% 0.20/0.55 inference(duplicate_literal_removal,[],[f283])).
% 0.20/0.55 thf(f283,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld] : (($false = (eiw_di @ X3 @ X1)) | ((eiw_di @ X2 @ sK5) = $false) | ((entry_box @ X3 @ X1) = $false) | ($false = (string @ X0 @ X1)) | ((eiw_di @ X0 @ sK5) = $false) | ($false = (entry_box @ X3 @ (sK6 @ X0 @ X3))) | ((eiw_di @ X0 @ X1) = $false) | ((userid @ u @ X0 @ (sK6 @ X0 @ X3)) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((userid @ u @ X0 @ (sK6 @ X0 @ X3)) = $false) | ($false = (entry_box @ X3 @ (sK6 @ X0 @ X3))) | ((eiw_di @ (sK4 @ X1 @ X2 @ X0 @ X3) @ sK5) = $false) | ((number @ X3 @ one @ (sK6 @ X0 @ X3)) = $false) | ((mrel @ mactual @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((number @ X3 @ one @ (sK6 @ X0 @ X3)) = $false) | ((mrel @ X1 @ (sK7 @ X0 @ (sK4 @ X1 @ X2 @ X0 @ X3) @ X2 @ X3)) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ($true = $false) | ((eiw_di @ (sK4 @ X1 @ X2 @ X0 @ X3) @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(superposition,[],[f175,f266])).
% 0.20/0.55 thf(f266,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ (sK9 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1) @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1))) | ((eiw_di @ X0 @ X2) = $false) | ((eiw_di @ (sK4 @ X2 @ X3 @ X0 @ X1) @ sK5) = $false) | ((eiw_di @ X3 @ X2) = $false) | ((mrel @ mactual @ X2) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((entry_box @ X1 @ (sK6 @ X0 @ X1)) = $false) | ((number @ X1 @ one @ (sK6 @ X0 @ X1)) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((string @ X0 @ X2) = $false) | ($false = (mrel @ X2 @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1))) | ((eiw_di @ X3 @ sK5) = $false) | ((entry_box @ X1 @ X2) = $false) | ($false = (userid @ u @ X0 @ (sK6 @ X0 @ X1))) | ($false = (eiw_di @ X1 @ X2))) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f265])).
% 0.20/0.55 thf(f265,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ (sK9 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1) @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1))) | ((entry_box @ X1 @ (sK6 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ X2) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X0 @ X2) = $false) | ((mrel @ mactual @ X2) = $false) | ((eiw_di @ (sK4 @ X2 @ X3 @ X0 @ X1) @ sK5) = $false) | ((number @ X1 @ one @ (sK6 @ X0 @ X1)) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X3 @ X2) = $false) | ((string @ X0 @ X2) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($false = (eiw_di @ X1 @ X2)) | ($false = (mrel @ X2 @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1))) | ($false = (userid @ u @ X0 @ (sK6 @ X0 @ X1))) | ($true = $false)) )),
% 0.20/0.55 inference(duplicate_literal_removal,[],[f261])).
% 0.20/0.55 thf(f261,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((entry_box @ X1 @ (sK6 @ X0 @ X1)) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ($false = (eiw_di @ X1 @ X2)) | ((mrel @ mactual @ X2) = $false) | ($false = (eiw_di @ (sK9 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1) @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1))) | ($false = (userid @ u @ X0 @ (sK6 @ X0 @ X1))) | ((eiw_di @ X1 @ sK5) = $false) | ($false = (userid @ u @ X0 @ (sK6 @ X0 @ X1))) | ((entry_box @ X1 @ (sK6 @ X0 @ X1)) = $false) | ((eiw_di @ X3 @ X2) = $false) | ((string @ X0 @ X2) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ($true = $false) | ((eiw_di @ X0 @ X2) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ (sK4 @ X2 @ X3 @ X0 @ X1) @ sK5) = $false) | ((number @ X1 @ one @ (sK6 @ X0 @ X1)) = $false) | ((eiw_di @ (sK4 @ X2 @ X3 @ X0 @ X1) @ sK5) = $false) | ($false = (mrel @ X2 @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1))) | ((entry_box @ X1 @ X2) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((number @ X1 @ one @ (sK6 @ X0 @ X1)) = $false)) )),
% 0.20/0.55 inference(superposition,[],[f240,f179])).
% 0.20/0.55 thf(f179,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((in @ X1 @ X2 @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5)) | ((entry_box @ X2 @ (sK6 @ X1 @ X2)) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((number @ X2 @ one @ (sK6 @ X1 @ X2)) = $false) | ((eiw_di @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f176])).
% 0.20/0.55 thf(f176,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((in @ X1 @ X2 @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $false) | (((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f173])).
% 0.20/0.55 thf(f173,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((do @ X4 @ X3 @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2))) = $false) | (((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f172])).
% 0.20/0.55 thf(f172,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X2 @ sK5) = $false) | (((eiw_di @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)))) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((eiw_di @ X3 @ sK5) = $false) | (((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f171])).
% 0.20/0.55 thf(f171,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X3 @ sK5) = $false) | ((((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) & (userid @ u @ X1 @ (sK6 @ X1 @ X2))) = $false) | (((eiw_di @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)))) = $false) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f170])).
% 0.20/0.55 thf(f170,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2))))) @ (sK9 @ X1 @ X3 @ X4 @ X2)) = $false) | ((((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) & (userid @ u @ X1 @ (sK6 @ X1 @ X2))) = $false) | ($false = (eiw_di @ X4 @ sK5))) )),
% 0.20/0.55 inference(sigma_clausification,[],[f166])).
% 0.20/0.55 thf(f166,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)))))) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) & (userid @ u @ X1 @ (sK6 @ X1 @ X2))) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f156])).
% 0.20/0.55 thf(f240,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((in @ X2 @ X3 @ (sK9 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5) @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5)) = $true) | ((string @ X2 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X3 @ X1) = $false) | ((mrel @ X1 @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5)) = $false) | ((number @ X5 @ one @ (sK6 @ X4 @ X5)) = $false) | ((eiw_di @ X0 @ X1) = $false) | ((entry_box @ X5 @ (sK6 @ X4 @ X5)) = $false) | ((eiw_di @ (sK9 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5) @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5)) = $false) | ($false = (eiw_di @ X3 @ X1)) | ((eiw_di @ (sK4 @ X1 @ X0 @ X2 @ X3) @ sK5) = $false) | ((eiw_di @ X5 @ sK5) = $false) | ((eiw_di @ X2 @ X1) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((userid @ u @ X4 @ (sK6 @ X4 @ X5)) = $false) | ($false = (eiw_di @ X4 @ sK5))) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f237])).
% 0.20/0.55 thf(f237,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((in @ X2 @ X3 @ (sK9 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5) @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5)) = $true) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X5 @ sK5) = $false) | ((userid @ u @ X4 @ (sK6 @ X4 @ X5)) = $false) | ((eiw_di @ X0 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false) | ((eiw_di @ (sK4 @ X1 @ X0 @ X2 @ X3) @ sK5) = $false) | ((entry_box @ X5 @ (sK6 @ X4 @ X5)) = $false) | ((string @ X2 @ X1) = $false) | ($true = $false) | ((entry_box @ X3 @ X1) = $false) | ((mrel @ X1 @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5)) = $false) | ((eiw_di @ (sK9 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5) @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5)) = $false) | ((number @ X5 @ one @ (sK6 @ X4 @ X5)) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ($false = (eiw_di @ X3 @ X1))) )),
% 0.20/0.55 inference(superposition,[],[f178,f133])).
% 0.20/0.55 thf(f133,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (((do @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ X6 @ X5) = $false) | ($false = (eiw_di @ X4 @ X1)) | ((string @ X3 @ X1) = $false) | ($false = (eiw_di @ X6 @ X5)) | ($false = (eiw_di @ X3 @ X1)) | ((entry_box @ X4 @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X5) = $false) | ((in @ X3 @ X4 @ X6 @ X5) = $true)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f132])).
% 0.20/0.55 thf(f132,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (($false = (eiw_di @ X6 @ X5)) | ((mrel @ mactual @ X1) = $false) | ((string @ X3 @ X1) = $false) | ($false = (eiw_di @ X3 @ X1)) | ((mrel @ X1 @ X5) = $false) | (((do @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ X6 @ X5) => (in @ X3 @ X4 @ X6 @ X5)) = $true) | ((entry_box @ X4 @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false) | ($false = (eiw_di @ X4 @ X1))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f131])).
% 0.20/0.55 thf(f131,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (((mrel @ mactual @ X1) = $false) | ((string @ X3 @ X1) = $false) | ((entry_box @ X4 @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false) | (((eiw_di @ X6 @ X5) => ((do @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ X6 @ X5) => (in @ X3 @ X4 @ X6 @ X5))) = $true) | ($false = (eiw_di @ X4 @ X1)) | ($false = (eiw_di @ X3 @ X1)) | ((mrel @ X1 @ X5) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f130])).
% 0.20/0.55 thf(f130,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (($false = (eiw_di @ X3 @ X1)) | ((mrel @ mactual @ X1) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ X5) => ((do @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5)))) @ X6) = $true) | ((mrel @ X1 @ X5) = $false) | ((entry_box @ X4 @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false) | ((string @ X3 @ X1) = $false) | ($false = (eiw_di @ X4 @ X1))) )),
% 0.20/0.55 inference(pi_clausification,[],[f129])).
% 0.20/0.55 thf(f129,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (((mrel @ mactual @ X1) = $false) | ($false = (eiw_di @ X4 @ X1)) | ((eiw_di @ X2 @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X5) => ((do @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5)))))) | ($false = (eiw_di @ X3 @ X1)) | ((entry_box @ X4 @ X1) = $false) | ((string @ X3 @ X1) = $false) | ((mrel @ X1 @ X5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f128])).
% 0.20/0.55 thf(f128,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (((string @ X3 @ X1) = $false) | ($false = (eiw_di @ X4 @ X1)) | ((eiw_di @ X2 @ X1) = $false) | ($true = ((mrel @ X1 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X5) => ((do @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5))))))) | ($false = (eiw_di @ X3 @ X1)) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false)) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f127])).
% 0.20/0.55 thf(f127,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (((string @ X3 @ X1) = $false) | ($false = (eiw_di @ X4 @ X1)) | ($false = (eiw_di @ X3 @ X1)) | ($true = ((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0))))))) @ X5)) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false)) )),
% 0.20/0.55 inference(pi_clausification,[],[f126])).
% 0.20/0.55 thf(f126,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($false = (eiw_di @ X4 @ X1)) | ((string @ X3 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ($false = (eiw_di @ X3 @ X1)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0)))))))) = $true) | ((entry_box @ X4 @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f124])).
% 0.20/0.55 thf(f178,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((do @ X4 @ X3 @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true) | ((eiw_di @ X2 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((entry_box @ X2 @ (sK6 @ X1 @ X2)) = $false) | ((number @ X2 @ one @ (sK6 @ X1 @ X2)) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f177])).
% 0.20/0.55 thf(f177,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((eiw_di @ X2 @ sK5) = $false) | ((do @ X4 @ X3 @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5)) | (((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f173])).
% 0.20/0.55 thf(f175,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true) | ($false = (eiw_di @ X4 @ sK5)) | ((number @ X2 @ one @ (sK6 @ X1 @ X2)) = $false) | ((entry_box @ X2 @ (sK6 @ X1 @ X2)) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((eiw_di @ X3 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f174])).
% 0.20/0.55 thf(f174,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ (sK9 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true) | (((number @ X2 @ one @ (sK6 @ X1 @ X2)) & (entry_box @ X2 @ (sK6 @ X1 @ X2))) = $false) | ($false = (userid @ u @ X1 @ (sK6 @ X1 @ X2))) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X3 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f172])).
% 0.20/0.55 thf(f365,plain,(
% 0.20/0.55 spl1_2 | spl1_1),
% 0.20/0.55 inference(avatar_split_clause,[],[f364,f357,f360])).
% 0.20/0.55 thf(f364,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X1 @ sK5) = $false) | ((string @ X1 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ((eiw_di @ X2 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f363])).
% 0.20/0.55 thf(f363,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((string @ X1 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ($true = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true)) )),
% 0.20/0.55 inference(forward_demodulation,[],[f351,f138])).
% 0.20/0.55 thf(f351,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((string @ X1 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ($false = (mrel @ mactual @ sK5)) | ((entry_box @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f350])).
% 0.20/0.55 thf(f350,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X2 @ sK5) = $false) | ((string @ X1 @ sK5) = $false) | ($true = $false) | ((entry_box @ X2 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($false = (mrel @ mactual @ sK5))) )),
% 0.20/0.55 inference(duplicate_literal_removal,[],[f348])).
% 0.20/0.55 thf(f348,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X0 @ sK5) = $false) | ((string @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ((eiw_di @ X1 @ sK5) = $false) | ($true = $false) | ((string @ X1 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ($false = (mrel @ mactual @ sK5)) | ((eiw_di @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(superposition,[],[f125,f321])).
% 0.20/0.55 thf(f321,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X0 @ X2)) = $true) | ((string @ X0 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f320])).
% 0.20/0.55 thf(f320,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((entry_box @ X2 @ sK5) = $false) | ((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ($true = $false) | ((string @ X0 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X0 @ X2)) = $true)) )),
% 0.20/0.55 inference(forward_demodulation,[],[f319,f138])).
% 0.20/0.55 thf(f319,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X1 @ sK5) = $false) | ((string @ X0 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X0 @ X2)) = $true) | ($false = (mrel @ mactual @ sK5))) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f318])).
% 0.20/0.55 thf(f318,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X0 @ X2)) = $true) | ((eiw_di @ X1 @ sK5) = $false) | ($true = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((string @ X0 @ sK5) = $false) | ($false = (mrel @ mactual @ sK5)) | ((entry_box @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(duplicate_literal_removal,[],[f309])).
% 0.20/0.55 thf(f309,plain,(
% 0.20/0.55 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ((eiw_di @ (sK4 @ sK5 @ X1 @ X0 @ X2) @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($true = $false) | ((string @ X0 @ sK5) = $false) | ($false = (mrel @ mactual @ sK5)) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((entry_box @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X0 @ X2)) = $true) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X0 @ X2)) = $true)) )),
% 0.20/0.55 inference(superposition,[],[f159,f277])).
% 0.20/0.55 thf(f277,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld] : (((mrel @ X1 @ (sK7 @ X0 @ (sK4 @ X1 @ X2 @ X0 @ X3) @ X2 @ X3)) = $false) | ((entry_box @ X3 @ X1) = $false) | ($true = (mrel @ sK5 @ (sK6 @ X0 @ X3))) | ((eiw_di @ X2 @ X1) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ($false = (string @ X0 @ X1)) | ((eiw_di @ (sK4 @ X1 @ X2 @ X0 @ X3) @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ($false = (eiw_di @ X3 @ X1)) | ((eiw_di @ X3 @ sK5) = $false)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f276])).
% 0.20/0.55 thf(f276,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld] : (((eiw_di @ X2 @ X1) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ($true = $false) | ((eiw_di @ X2 @ sK5) = $false) | ($false = (eiw_di @ X3 @ X1)) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X3 @ X1) = $false) | ((eiw_di @ X0 @ X1) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((mrel @ X1 @ (sK7 @ X0 @ (sK4 @ X1 @ X2 @ X0 @ X3) @ X2 @ X3)) = $false) | ($true = (mrel @ sK5 @ (sK6 @ X0 @ X3))) | ($false = (string @ X0 @ X1)) | ((eiw_di @ (sK4 @ X1 @ X2 @ X0 @ X3) @ sK5) = $false)) )),
% 0.20/0.55 inference(duplicate_literal_removal,[],[f272])).
% 0.20/0.55 thf(f272,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld] : (($false = (eiw_di @ X3 @ X1)) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ X0 @ X1) = $false) | ((mrel @ X1 @ (sK7 @ X0 @ (sK4 @ X1 @ X2 @ X0 @ X3) @ X2 @ X3)) = $false) | ($true = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ (sK4 @ X1 @ X2 @ X0 @ X3) @ sK5) = $false) | ((entry_box @ X3 @ X1) = $false) | ($false = (string @ X0 @ X1)) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ (sK4 @ X1 @ X2 @ X0 @ X3) @ sK5) = $false) | ($true = (mrel @ sK5 @ (sK6 @ X0 @ X3))) | ((eiw_di @ X2 @ X1) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ($true = (mrel @ sK5 @ (sK6 @ X0 @ X3))) | ((mrel @ mactual @ X1) = $false)) )),
% 0.20/0.55 inference(superposition,[],[f163,f258])).
% 0.20/0.55 thf(f258,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ (sK8 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1) @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1))) | ((mrel @ mactual @ X2) = $false) | ((string @ X0 @ X2) = $false) | ($false = (eiw_di @ X1 @ X2)) | ((eiw_di @ X3 @ X2) = $false) | ((eiw_di @ X0 @ X2) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X0 @ X1)) = $true) | ((eiw_di @ (sK4 @ X2 @ X3 @ X0 @ X1) @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((entry_box @ X1 @ X2) = $false) | ($false = (mrel @ X2 @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1)))) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f257])).
% 0.20/0.55 thf(f257,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ sK5 @ (sK6 @ X0 @ X1)) = $true) | ((entry_box @ X1 @ X2) = $false) | ((eiw_di @ (sK4 @ X2 @ X3 @ X0 @ X1) @ sK5) = $false) | ((eiw_di @ X0 @ X2) = $false) | ((mrel @ mactual @ X2) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ($false = (mrel @ X2 @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1))) | ((string @ X0 @ X2) = $false) | ((eiw_di @ X3 @ X2) = $false) | ($false = (eiw_di @ (sK8 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1) @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1))) | ($false = (eiw_di @ X1 @ X2)) | ($true = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false)) )),
% 0.20/0.55 inference(duplicate_literal_removal,[],[f253])).
% 0.20/0.55 thf(f253,plain,(
% 0.20/0.55 ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ sK5 @ (sK6 @ X0 @ X1)) = $true) | ((entry_box @ X1 @ X2) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ($false = (eiw_di @ (sK8 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1) @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1))) | ((eiw_di @ (sK4 @ X2 @ X3 @ X0 @ X1) @ sK5) = $false) | ($false = (eiw_di @ X1 @ X2)) | ((eiw_di @ X3 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X0 @ X1)) = $true) | ((mrel @ mactual @ X2) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X0 @ X2) = $false) | ((string @ X0 @ X2) = $false) | ($true = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((eiw_di @ (sK4 @ X2 @ X3 @ X0 @ X1) @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ($false = (mrel @ X2 @ (sK7 @ X0 @ (sK4 @ X2 @ X3 @ X0 @ X1) @ X3 @ X1))) | ((eiw_di @ X3 @ X2) = $false)) )),
% 0.20/0.55 inference(superposition,[],[f232,f164])).
% 0.20/0.55 thf(f164,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((in @ X1 @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5))) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f162])).
% 0.20/0.55 thf(f162,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ($false = ((do @ X4 @ X3 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)))) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X3 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f161])).
% 0.20/0.55 thf(f161,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ($false = ((eiw_di @ (sK8 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2))))) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5))) )),
% 0.20/0.55 inference(beta_eta_normalization,[],[f160])).
% 0.20/0.55 thf(f160,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X2 @ sK5) = $false) | ((eiw_di @ X3 @ sK5) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2))))) @ (sK8 @ X1 @ X3 @ X4 @ X2)))) )),
% 0.20/0.55 inference(sigma_clausification,[],[f158])).
% 0.20/0.55 thf(f158,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X3 @ sK5) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)))))) = $false) | ((eiw_di @ X1 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f157])).
% 0.20/0.55 thf(f157,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X1 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ((eiw_di @ X2 @ sK5) = $false) | (((mrel @ sK5 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK7 @ X1 @ X3 @ X4 @ X2))))))) = $false) | ((eiw_di @ X3 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f155])).
% 0.20/0.55 thf(f232,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (($true = (in @ X2 @ X3 @ (sK8 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5) @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5))) | ($false = (eiw_di @ X3 @ X1)) | ((eiw_di @ X5 @ sK5) = $false) | ($false = (eiw_di @ X4 @ sK5)) | ((mrel @ sK5 @ (sK6 @ X4 @ X5)) = $true) | ((eiw_di @ X0 @ X1) = $false) | ($false = (eiw_di @ (sK8 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5) @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5))) | ((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5)) = $false) | ((entry_box @ X3 @ X1) = $false) | ((string @ X2 @ X1) = $false) | ((eiw_di @ X2 @ X1) = $false) | ((eiw_di @ (sK4 @ X1 @ X0 @ X2 @ X3) @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false)) )),
% 0.20/0.55 inference(trivial_inequality_removal,[],[f230])).
% 0.20/0.55 thf(f230,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (($true = $false) | ($false = (eiw_di @ X4 @ sK5)) | ($false = (eiw_di @ X3 @ X1)) | ((string @ X2 @ X1) = $false) | ((mrel @ X1 @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5)) = $false) | ($true = (in @ X2 @ X3 @ (sK8 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5) @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5))) | ((eiw_di @ X2 @ X1) = $false) | ((eiw_di @ X0 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ($false = (eiw_di @ (sK8 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5) @ (sK7 @ X4 @ (sK4 @ X1 @ X0 @ X2 @ X3) @ X0 @ X5))) | ((eiw_di @ (sK4 @ X1 @ X0 @ X2 @ X3) @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X4 @ X5)) = $true) | ((eiw_di @ X5 @ sK5) = $false) | ((eiw_di @ X0 @ sK5) = $false) | ((entry_box @ X3 @ X1) = $false)) )),
% 0.20/0.55 inference(superposition,[],[f133,f165])).
% 0.20/0.55 thf(f165,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (do @ X4 @ X3 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2))) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X3 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f162])).
% 0.20/0.55 thf(f163,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ (sK8 @ X1 @ X3 @ X4 @ X2) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X3 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f161])).
% 0.20/0.55 thf(f159,plain,(
% 0.20/0.55 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK5 @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true) | ((eiw_di @ X3 @ sK5) = $false) | ((mrel @ sK5 @ (sK6 @ X1 @ X2)) = $true) | ($false = (eiw_di @ X4 @ sK5)) | ((eiw_di @ X1 @ sK5) = $false) | ((eiw_di @ X2 @ sK5) = $false)) )),
% 0.20/0.55 inference(binary_proxy_clausification,[],[f157])).
% 0.20/0.55 % SZS output end Proof for theBenchmark
% 0.20/0.55 % (381)------------------------------
% 0.20/0.55 % (381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.55 % (381)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (381)Memory used [KB]: 6396
% 0.20/0.55 % (381)Time elapsed: 0.101 s
% 0.20/0.55 % (381)Instructions burned: 247 (million)
% 0.20/0.55 % (381)------------------------------
% 0.20/0.55 % (381)------------------------------
% 0.20/0.55 % (351)Success in time 0.194 s
% 0.20/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------