TSTP Solution File: LCL960^12 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL960^12 : 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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:24:12 EDT 2024
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL960^12 : 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
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 02:01:07 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a TH0_THM_EQU_NAR problem
% 0.12/0.34 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
% 0.12/0.36 % (22609)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)
% 0.12/0.36 % (22611)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)
% 0.12/0.36 % (22608)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)
% 0.12/0.36 % (22610)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.36 % (22608)Instruction limit reached!
% 0.12/0.36 % (22608)------------------------------
% 0.12/0.36 % (22608)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (22608)Termination reason: Unknown
% 0.12/0.36 % (22608)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (22608)Memory used [KB]: 1023
% 0.12/0.36 % (22608)Time elapsed: 0.003 s
% 0.12/0.36 % (22608)Instructions burned: 2 (million)
% 0.12/0.36 % (22608)------------------------------
% 0.12/0.36 % (22608)------------------------------
% 0.12/0.36 % (22611)Instruction limit reached!
% 0.12/0.36 % (22611)------------------------------
% 0.12/0.36 % (22611)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (22611)Termination reason: Unknown
% 0.12/0.36 % (22611)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (22611)Memory used [KB]: 1023
% 0.12/0.36 % (22611)Time elapsed: 0.003 s
% 0.12/0.36 % (22611)Instructions burned: 3 (million)
% 0.12/0.36 % (22611)------------------------------
% 0.12/0.36 % (22611)------------------------------
% 0.12/0.36 % (22605)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)
% 0.12/0.36 % (22606)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)
% 0.12/0.36 % (22605)Instruction limit reached!
% 0.12/0.36 % (22605)------------------------------
% 0.12/0.36 % (22605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (22605)Termination reason: Unknown
% 0.12/0.36 % (22605)Termination phase: Property scanning
% 0.12/0.36
% 0.12/0.36 % (22605)Memory used [KB]: 1023
% 0.12/0.36 % (22605)Time elapsed: 0.004 s
% 0.12/0.36 % (22605)Instructions burned: 5 (million)
% 0.12/0.36 % (22605)------------------------------
% 0.12/0.36 % (22605)------------------------------
% 0.12/0.36 % (22609)Refutation not found, incomplete strategy
% 0.12/0.36 % (22609)------------------------------
% 0.12/0.36 % (22609)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (22609)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % (22609)Memory used [KB]: 5500
% 0.12/0.36 % (22609)Time elapsed: 0.007 s
% 0.12/0.36 % (22609)Instructions burned: 11 (million)
% 0.12/0.36 % (22609)------------------------------
% 0.12/0.36 % (22609)------------------------------
% 0.12/0.36 % (22604)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.36 % (22610)Instruction limit reached!
% 0.12/0.36 % (22610)------------------------------
% 0.12/0.36 % (22610)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (22610)Termination reason: Unknown
% 0.12/0.36 % (22610)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (22610)Memory used [KB]: 5628
% 0.12/0.36 % (22610)Time elapsed: 0.010 s
% 0.12/0.36 % (22610)Instructions burned: 20 (million)
% 0.12/0.36 % (22610)------------------------------
% 0.12/0.36 % (22610)------------------------------
% 0.12/0.37 % (22607)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.37 % (22607)Instruction limit reached!
% 0.12/0.37 % (22607)------------------------------
% 0.12/0.37 % (22607)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (22607)Termination reason: Unknown
% 0.12/0.37 % (22607)Termination phase: Property scanning
% 0.12/0.37
% 0.12/0.37 % (22607)Memory used [KB]: 1023
% 0.12/0.37 % (22607)Time elapsed: 0.003 s
% 0.12/0.37 % (22607)Instructions burned: 3 (million)
% 0.12/0.37 % (22607)------------------------------
% 0.12/0.37 % (22607)------------------------------
% 0.19/0.37 % (22612)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)
% 0.19/0.37 % (22613)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)
% 0.19/0.37 % (22606)Instruction limit reached!
% 0.19/0.37 % (22606)------------------------------
% 0.19/0.37 % (22606)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (22606)Termination reason: Unknown
% 0.19/0.37 % (22606)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (22606)Memory used [KB]: 5628
% 0.19/0.37 % (22606)Time elapsed: 0.016 s
% 0.19/0.37 % (22606)Instructions burned: 28 (million)
% 0.19/0.37 % (22606)------------------------------
% 0.19/0.37 % (22606)------------------------------
% 0.19/0.37 % (22614)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)
% 0.19/0.38 % (22614)Instruction limit reached!
% 0.19/0.38 % (22614)------------------------------
% 0.19/0.38 % (22614)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (22614)Termination reason: Unknown
% 0.19/0.38 % (22614)Termination phase: Property scanning
% 0.19/0.38
% 0.19/0.38 % (22614)Memory used [KB]: 1023
% 0.19/0.38 % (22614)Time elapsed: 0.003 s
% 0.19/0.38 % (22614)Instructions burned: 3 (million)
% 0.19/0.38 % (22614)------------------------------
% 0.19/0.38 % (22614)------------------------------
% 0.19/0.38 % (22613)Instruction limit reached!
% 0.19/0.38 % (22613)------------------------------
% 0.19/0.38 % (22613)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (22613)Termination reason: Unknown
% 0.19/0.38 % (22613)Termination phase: Saturation
% 0.19/0.38
% 0.19/0.38 % (22613)Memory used [KB]: 5500
% 0.19/0.38 % (22613)Time elapsed: 0.008 s
% 0.19/0.38 % (22613)Instructions burned: 16 (million)
% 0.19/0.38 % (22613)------------------------------
% 0.19/0.38 % (22613)------------------------------
% 0.19/0.38 % (22616)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.38 % (22616)Instruction limit reached!
% 0.19/0.38 % (22616)------------------------------
% 0.19/0.38 % (22616)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (22616)Termination reason: Unknown
% 0.19/0.38 % (22616)Termination phase: Saturation
% 0.19/0.38
% 0.19/0.38 % (22616)Memory used [KB]: 1023
% 0.19/0.38 % (22616)Time elapsed: 0.005 s
% 0.19/0.38 % (22616)Instructions burned: 8 (million)
% 0.19/0.38 % (22616)------------------------------
% 0.19/0.38 % (22616)------------------------------
% 0.19/0.38 % (22615)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)
% 0.19/0.39 % (22612)Instruction limit reached!
% 0.19/0.39 % (22612)------------------------------
% 0.19/0.39 % (22612)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (22612)Termination reason: Unknown
% 0.19/0.39 % (22612)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (22612)Memory used [KB]: 5628
% 0.19/0.39 % (22612)Time elapsed: 0.017 s
% 0.19/0.39 % (22612)Instructions burned: 37 (million)
% 0.19/0.39 % (22612)------------------------------
% 0.19/0.39 % (22612)------------------------------
% 0.19/0.39 % (22618)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)
% 0.19/0.39 % (22618)Instruction limit reached!
% 0.19/0.39 % (22618)------------------------------
% 0.19/0.39 % (22618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (22618)Termination reason: Unknown
% 0.19/0.39 % (22618)Termination phase: Property scanning
% 0.19/0.39
% 0.19/0.39 % (22618)Memory used [KB]: 1023
% 0.19/0.39 % (22618)Time elapsed: 0.003 s
% 0.19/0.39 % (22618)Instructions burned: 3 (million)
% 0.19/0.39 % (22618)------------------------------
% 0.19/0.39 % (22618)------------------------------
% 0.19/0.39 % (22617)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.39 % (22620)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)
% 0.19/0.39 % (22619)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)
% 0.19/0.39 % (22619)Instruction limit reached!
% 0.19/0.39 % (22619)------------------------------
% 0.19/0.39 % (22619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (22619)Termination reason: Unknown
% 0.19/0.39 % (22619)Termination phase: Property scanning
% 0.19/0.39
% 0.19/0.39 % (22619)Memory used [KB]: 1023
% 0.19/0.39 % (22619)Time elapsed: 0.003 s
% 0.19/0.39 % (22619)Instructions burned: 3 (million)
% 0.19/0.39 % (22619)------------------------------
% 0.19/0.39 % (22619)------------------------------
% 0.19/0.39 % (22620)Instruction limit reached!
% 0.19/0.39 % (22620)------------------------------
% 0.19/0.39 % (22620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (22620)Termination reason: Unknown
% 0.19/0.39 % (22620)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (22620)Memory used [KB]: 5500
% 0.19/0.39 % (22620)Time elapsed: 0.005 s
% 0.19/0.39 % (22620)Instructions burned: 8 (million)
% 0.19/0.39 % (22620)------------------------------
% 0.19/0.39 % (22620)------------------------------
% 0.19/0.39 % (22621)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)
% 0.19/0.40 % (22621)Instruction limit reached!
% 0.19/0.40 % (22621)------------------------------
% 0.19/0.40 % (22621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (22621)Termination reason: Unknown
% 0.19/0.40 % (22621)Termination phase: Property scanning
% 0.19/0.40
% 0.19/0.40 % (22621)Memory used [KB]: 1023
% 0.19/0.40 % (22621)Time elapsed: 0.003 s
% 0.19/0.40 % (22621)Instructions burned: 3 (million)
% 0.19/0.40 % (22621)------------------------------
% 0.19/0.40 % (22621)------------------------------
% 0.19/0.40 % (22617)Instruction limit reached!
% 0.19/0.40 % (22617)------------------------------
% 0.19/0.40 % (22617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (22617)Termination reason: Unknown
% 0.19/0.40 % (22617)Termination phase: Saturation
% 0.19/0.40
% 0.19/0.40 % (22617)Memory used [KB]: 5884
% 0.19/0.40 % (22617)Time elapsed: 0.010 s
% 0.19/0.40 % (22617)Instructions burned: 16 (million)
% 0.19/0.40 % (22617)------------------------------
% 0.19/0.40 % (22617)------------------------------
% 0.19/0.40 % (22622)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.40 % (22623)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)
% 0.19/0.40 % (22622)Instruction limit reached!
% 0.19/0.40 % (22622)------------------------------
% 0.19/0.40 % (22622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (22622)Termination reason: Unknown
% 0.19/0.40 % (22622)Termination phase: Property scanning
% 0.19/0.40
% 0.19/0.40 % (22622)Memory used [KB]: 1023
% 0.19/0.40 % (22622)Time elapsed: 0.004 s
% 0.19/0.40 % (22622)Instructions burned: 6 (million)
% 0.19/0.40 % (22622)------------------------------
% 0.19/0.40 % (22622)------------------------------
% 0.19/0.41 % (22625)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.41 % (22624)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.19/0.41 % (22625)Instruction limit reached!
% 0.19/0.41 % (22625)------------------------------
% 0.19/0.41 % (22625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (22625)Termination reason: Unknown
% 0.19/0.41 % (22625)Termination phase: Saturation
% 0.19/0.41
% 0.19/0.41 % (22625)Memory used [KB]: 1023
% 0.19/0.41 % (22625)Time elapsed: 0.004 s
% 0.19/0.41 % (22625)Instructions burned: 6 (million)
% 0.19/0.41 % (22625)------------------------------
% 0.19/0.41 % (22625)------------------------------
% 0.19/0.41 % (22626)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)
% 0.19/0.41 % (22626)Refutation not found, incomplete strategy
% 0.19/0.41 % (22626)------------------------------
% 0.19/0.41 % (22626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (22626)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 % (22626)Memory used [KB]: 5500
% 0.19/0.41 % (22626)Time elapsed: 0.004 s
% 0.19/0.41 % (22626)Instructions burned: 5 (million)
% 0.19/0.41 % (22626)------------------------------
% 0.19/0.41 % (22626)------------------------------
% 0.19/0.41 % (22627)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)
% 0.19/0.41 % (22623)Instruction limit reached!
% 0.19/0.41 % (22623)------------------------------
% 0.19/0.41 % (22623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (22623)Termination reason: Unknown
% 0.19/0.41 % (22623)Termination phase: Saturation
% 0.19/0.41
% 0.19/0.41 % (22623)Memory used [KB]: 5628
% 0.19/0.41 % (22623)Time elapsed: 0.013 s
% 0.19/0.41 % (22623)Instructions burned: 18 (million)
% 0.19/0.41 % (22623)------------------------------
% 0.19/0.41 % (22623)------------------------------
% 0.19/0.42 % (22629)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)
% 0.19/0.42 % (22627)Instruction limit reached!
% 0.19/0.42 % (22627)------------------------------
% 0.19/0.42 % (22627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (22627)Termination reason: Unknown
% 0.19/0.42 % (22627)Termination phase: Saturation
% 0.19/0.42
% 0.19/0.42 % (22627)Memory used [KB]: 5628
% 0.19/0.42 % (22627)Time elapsed: 0.012 s
% 0.19/0.42 % (22627)Instructions burned: 22 (million)
% 0.19/0.42 % (22627)------------------------------
% 0.19/0.42 % (22627)------------------------------
% 0.19/0.42 % (22629)Instruction limit reached!
% 0.19/0.42 % (22629)------------------------------
% 0.19/0.42 % (22629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (22629)Termination reason: Unknown
% 0.19/0.42 % (22629)Termination phase: Property scanning
% 0.19/0.42
% 0.19/0.42 % (22629)Memory used [KB]: 1023
% 0.19/0.42 % (22629)Time elapsed: 0.004 s
% 0.19/0.42 % (22629)Instructions burned: 6 (million)
% 0.19/0.42 % (22629)------------------------------
% 0.19/0.42 % (22629)------------------------------
% 0.19/0.43 % (22631)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)
% 0.19/0.43 % (22630)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.19/0.43 % (22628)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.43 % (22628)Instruction limit reached!
% 0.19/0.43 % (22628)------------------------------
% 0.19/0.43 % (22628)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (22628)Termination reason: Unknown
% 0.19/0.43 % (22628)Termination phase: Property scanning
% 0.19/0.43
% 0.19/0.43 % (22628)Memory used [KB]: 1023
% 0.19/0.43 % (22628)Time elapsed: 0.004 s
% 0.19/0.43 % (22628)Instructions burned: 6 (million)
% 0.19/0.43 % (22628)------------------------------
% 0.19/0.43 % (22628)------------------------------
% 0.19/0.44 % (22633)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)
% 0.19/0.44 % (22634)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.19/0.45 % (22604)Instruction limit reached!
% 0.19/0.45 % (22604)------------------------------
% 0.19/0.45 % (22604)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (22604)Termination reason: Unknown
% 0.19/0.45 % (22604)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (22604)Memory used [KB]: 6268
% 0.19/0.45 % (22604)Time elapsed: 0.084 s
% 0.19/0.45 % (22604)Instructions burned: 183 (million)
% 0.19/0.45 % (22604)------------------------------
% 0.19/0.45 % (22604)------------------------------
% 0.19/0.45 % (22632)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)
% 0.19/0.45 % (22634)Instruction limit reached!
% 0.19/0.45 % (22634)------------------------------
% 0.19/0.45 % (22634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (22634)Termination reason: Unknown
% 0.19/0.45 % (22634)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (22634)Memory used [KB]: 5628
% 0.19/0.45 % (22634)Time elapsed: 0.009 s
% 0.19/0.45 % (22634)Instructions burned: 19 (million)
% 0.19/0.45 % (22634)------------------------------
% 0.19/0.45 % (22634)------------------------------
% 0.19/0.45 % (22632)Refutation not found, incomplete strategy
% 0.19/0.45 % (22632)------------------------------
% 0.19/0.45 % (22632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (22632)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 % (22632)Memory used [KB]: 5500
% 0.19/0.45 % (22632)Time elapsed: 0.031 s
% 0.19/0.45 % (22632)Instructions burned: 12 (million)
% 0.19/0.45 % (22632)------------------------------
% 0.19/0.45 % (22632)------------------------------
% 0.19/0.46 % (22635)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.46 % (22635)Instruction limit reached!
% 0.19/0.46 % (22635)------------------------------
% 0.19/0.46 % (22635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.46 % (22635)Termination reason: Unknown
% 0.19/0.46 % (22635)Termination phase: Property scanning
% 0.19/0.46
% 0.19/0.46 % (22635)Memory used [KB]: 1023
% 0.19/0.46 % (22635)Time elapsed: 0.002 s
% 0.19/0.46 % (22635)Instructions burned: 4 (million)
% 0.19/0.46 % (22635)------------------------------
% 0.19/0.46 % (22635)------------------------------
% 0.19/0.46 % (22636)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.46 % (22636)Refutation not found, incomplete strategy
% 0.19/0.46 % (22636)------------------------------
% 0.19/0.46 % (22636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.46 % (22636)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 % (22636)Memory used [KB]: 5500
% 0.19/0.46 % (22636)Time elapsed: 0.004 s
% 0.19/0.46 % (22636)Instructions burned: 11 (million)
% 0.19/0.46 % (22636)------------------------------
% 0.19/0.46 % (22636)------------------------------
% 0.19/0.46 % (22638)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)
% 0.19/0.47 % (22637)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 (2999ds/127Mi)
% 0.19/0.47 % (22639)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)
% 0.19/0.47 % (22639)Instruction limit reached!
% 0.19/0.47 % (22639)------------------------------
% 0.19/0.47 % (22639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.47 % (22639)Termination reason: Unknown
% 0.19/0.47 % (22639)Termination phase: Property scanning
% 0.19/0.47
% 0.19/0.47 % (22639)Memory used [KB]: 1023
% 0.19/0.47 % (22639)Time elapsed: 0.002 s
% 0.19/0.47 % (22639)Instructions burned: 3 (million)
% 0.19/0.47 % (22639)------------------------------
% 0.19/0.47 % (22639)------------------------------
% 0.19/0.48 % (22631)First to succeed.
% 0.19/0.48 % (22640)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)
% 0.19/0.49 % (22640)Refutation not found, incomplete strategy
% 0.19/0.49 % (22640)------------------------------
% 0.19/0.49 % (22640)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.49 % (22640)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 % (22640)Memory used [KB]: 5500
% 0.19/0.49 % (22640)Time elapsed: 0.005 s
% 0.19/0.49 % (22640)Instructions burned: 13 (million)
% 0.19/0.49 % (22640)------------------------------
% 0.19/0.49 % (22640)------------------------------
% 0.19/0.49 % (22631)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% 0.19/0.49 thf(type_def_5, type, mworld: $tType).
% 0.19/0.49 thf(func_def_0, type, mworld: $tType).
% 0.19/0.49 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.19/0.49 thf(func_def_2, type, mactual: mworld).
% 0.19/0.49 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.19/0.49 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.19/0.49 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.49 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.49 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.49 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.19/0.49 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.19/0.49 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.19/0.49 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.19/0.49 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.19/0.49 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.19/0.49 thf(func_def_15, type, f: $i > $i > mworld > $o).
% 0.19/0.49 thf(func_def_34, type, sK1: mworld).
% 0.19/0.49 thf(func_def_35, type, sK2: mworld).
% 0.19/0.49 thf(func_def_37, type, sK4: mworld > $i > $i).
% 0.19/0.49 thf(func_def_38, type, sK5: mworld > $i > mworld).
% 0.19/0.49 thf(func_def_39, type, sK6: $i > mworld > $i > mworld).
% 0.19/0.49 thf(func_def_40, type, sK7: mworld > $i).
% 0.19/0.49 thf(f355,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(avatar_sat_refutation,[],[f330,f346,f354])).
% 0.19/0.49 thf(f354,plain,(
% 0.19/0.49 ~spl0_1),
% 0.19/0.49 inference(avatar_contradiction_clause,[],[f353])).
% 0.19/0.49 thf(f353,plain,(
% 0.19/0.49 $false | ~spl0_1),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f348])).
% 0.19/0.49 thf(f348,plain,(
% 0.19/0.49 ($true = $false) | ~spl0_1),
% 0.19/0.49 inference(superposition,[],[f325,f57])).
% 0.19/0.49 thf(f57,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X1 : mworld] : (((mrel @ X1 @ X2) = $true)) )),
% 0.19/0.49 inference(pi_clausification,[],[f56])).
% 0.19/0.49 thf(f56,plain,(
% 0.19/0.49 ( ! [X1 : mworld] : (((!! @ mworld @ (mrel @ X1)) = $true)) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f55])).
% 0.19/0.49 thf(f55,plain,(
% 0.19/0.49 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: (!! @ mworld @ (mrel @ Y0))) @ X1) = $true)) )),
% 0.19/0.49 inference(pi_clausification,[],[f54])).
% 0.19/0.49 thf(f54,plain,(
% 0.19/0.49 ((!! @ mworld @ (^[Y0 : mworld]: (!! @ mworld @ (mrel @ Y0)))) = $true)),
% 0.19/0.49 inference(beta_eta_normalization,[],[f51])).
% 0.19/0.49 thf(f51,plain,(
% 0.19/0.49 ((!! @ mworld @ (^[Y0 : mworld]: (!! @ mworld @ (^[Y1 : mworld]: (mrel @ Y0 @ Y1))))) = $true)),
% 0.19/0.49 inference(cnf_transformation,[],[f19])).
% 0.19/0.49 thf(f19,plain,(
% 0.19/0.49 ((!! @ mworld @ (^[Y0 : mworld]: (!! @ mworld @ (^[Y1 : mworld]: (mrel @ Y0 @ Y1))))) = $true)),
% 0.19/0.49 inference(fool_elimination,[],[f18])).
% 0.19/0.49 thf(f18,plain,(
% 0.19/0.49 ! [X0 : mworld,X1 : mworld] : (mrel @ X1 @ X0)),
% 0.19/0.49 inference(rectify,[],[f9])).
% 0.19/0.49 thf(f9,axiom,(
% 0.19/0.49 ! [X4 : mworld,X2 : mworld] : (mrel @ X2 @ X4)),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal)).
% 0.19/0.49 thf(f325,plain,(
% 0.19/0.49 ( ! [X1 : mworld] : (($false = (mrel @ sK2 @ X1))) ) | ~spl0_1),
% 0.19/0.49 inference(avatar_component_clause,[],[f324])).
% 0.19/0.49 thf(f324,plain,(
% 0.19/0.49 spl0_1 <=> ! [X1 : mworld] : ($false = (mrel @ sK2 @ X1))),
% 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.19/0.49 thf(f346,plain,(
% 0.19/0.49 ~spl0_2),
% 0.19/0.49 inference(avatar_contradiction_clause,[],[f345])).
% 0.19/0.49 thf(f345,plain,(
% 0.19/0.49 $false | ~spl0_2),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f340])).
% 0.19/0.49 thf(f340,plain,(
% 0.19/0.49 ($true = $false) | ~spl0_2),
% 0.19/0.49 inference(superposition,[],[f336,f57])).
% 0.19/0.49 thf(f336,plain,(
% 0.19/0.49 ( ! [X0 : mworld] : (((mrel @ X0 @ X0) = $false)) ) | ~spl0_2),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f333])).
% 0.19/0.49 thf(f333,plain,(
% 0.19/0.49 ( ! [X0 : mworld] : (($true = $false) | ((mrel @ X0 @ X0) = $false)) ) | ~spl0_2),
% 0.19/0.49 inference(superposition,[],[f57,f328])).
% 0.19/0.49 thf(f328,plain,(
% 0.19/0.49 ( ! [X0 : mworld] : (($false = (mrel @ sK2 @ X0)) | ((mrel @ X0 @ X0) = $false)) ) | ~spl0_2),
% 0.19/0.49 inference(avatar_component_clause,[],[f327])).
% 0.19/0.49 thf(f327,plain,(
% 0.19/0.49 spl0_2 <=> ! [X0 : mworld] : (($false = (mrel @ sK2 @ X0)) | ((mrel @ X0 @ X0) = $false))),
% 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.19/0.49 thf(f330,plain,(
% 0.19/0.49 spl0_1 | spl0_2),
% 0.19/0.49 inference(avatar_split_clause,[],[f321,f327,f324])).
% 0.19/0.49 thf(f321,plain,(
% 0.19/0.49 ( ! [X0 : mworld,X1 : mworld] : (($false = (mrel @ sK2 @ X0)) | ((mrel @ X0 @ X0) = $false) | ($false = (mrel @ sK2 @ X1))) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f319])).
% 0.19/0.49 thf(f319,plain,(
% 0.19/0.49 ( ! [X0 : mworld,X1 : mworld] : (((mrel @ X0 @ X0) = $false) | ($true = $false) | ($false = (mrel @ sK2 @ X0)) | ($false = (mrel @ sK2 @ X1))) )),
% 0.19/0.49 inference(superposition,[],[f72,f314])).
% 0.19/0.49 thf(f314,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : (($false = (eiw_di @ sK3 @ X0)) | ((mrel @ X0 @ X1) = $false) | ((mrel @ X0 @ X2) = $false) | ((mrel @ X1 @ X1) = $false)) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f313])).
% 0.19/0.49 thf(f313,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : (((mrel @ X0 @ X2) = $false) | ($true = $false) | ((mrel @ X0 @ X1) = $false) | ((mrel @ X1 @ X1) = $false) | ($false = (eiw_di @ sK3 @ X0))) )),
% 0.19/0.49 inference(duplicate_literal_removal,[],[f311])).
% 0.19/0.49 thf(f311,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : (((mrel @ X1 @ X1) = $false) | ((mrel @ X0 @ X2) = $false) | ($false = (eiw_di @ sK3 @ X0)) | ($true = $false) | ((mrel @ X0 @ X1) = $false) | ($false = (eiw_di @ sK3 @ X0))) )),
% 0.19/0.49 inference(superposition,[],[f171,f304])).
% 0.19/0.49 thf(f304,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld] : (($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2)) | ((mrel @ X1 @ X1) = $false) | ($false = (mrel @ X2 @ X1)) | ((mrel @ X0 @ X3) = $false) | ($false = (eiw_di @ sK3 @ X0))) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f303])).
% 0.19/0.49 thf(f303,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld] : (((mrel @ X1 @ X1) = $false) | ((mrel @ X0 @ X3) = $false) | ($false = (mrel @ X2 @ X1)) | ($true = $false) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2)) | ($false = (eiw_di @ sK3 @ X0))) )),
% 0.19/0.49 inference(duplicate_literal_removal,[],[f301])).
% 0.19/0.49 thf(f301,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld] : (((mrel @ X1 @ X1) = $false) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2)) | ($false = (mrel @ X2 @ X1)) | ((mrel @ X0 @ X3) = $false) | ($true = $false) | ($false = (eiw_di @ sK3 @ X0)) | ($false = (eiw_di @ sK3 @ X0))) )),
% 0.19/0.49 inference(superposition,[],[f171,f293])).
% 0.19/0.49 thf(f293,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld] : (($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X3)) | ($false = (mrel @ X2 @ X2)) | ((mrel @ X1 @ X2) = $false) | ($false = (eiw_di @ sK3 @ X0)) | ((eiw_di @ (sK4 @ X0 @ sK3) @ X1) = $false) | ((mrel @ X3 @ X4) = $false)) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f290])).
% 0.19/0.49 thf(f290,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld] : (((eiw_di @ (sK4 @ X0 @ sK3) @ X1) = $false) | ($false = (mrel @ X2 @ X2)) | ($false = (eiw_di @ sK3 @ X0)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X3)) | ((mrel @ X3 @ X4) = $false) | ($false != $false) | ((mrel @ X1 @ X2) = $false)) )),
% 0.19/0.49 inference(equality_factoring,[],[f281])).
% 0.19/0.49 thf(f281,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld,X5 : mworld] : (($false = (eiw_di @ (sK4 @ X1 @ sK3) @ X4)) | ($false = (mrel @ X2 @ X2)) | ((eiw_di @ sK3 @ X1) = $false) | ((eiw_di @ (sK4 @ X1 @ sK3) @ X3) = $false) | ((mrel @ X3 @ X2) = $false) | ((mrel @ X5 @ X0) = $false) | ((eiw_di @ (sK4 @ X1 @ sK3) @ X5) = $false)) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f279])).
% 0.19/0.49 thf(f279,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld,X5 : mworld] : (((eiw_di @ (sK4 @ X1 @ sK3) @ X5) = $false) | ($false = (eiw_di @ (sK4 @ X1 @ sK3) @ X4)) | ((mrel @ X3 @ X2) = $false) | ((eiw_di @ sK3 @ X1) = $false) | ($false = (mrel @ X2 @ X2)) | ((mrel @ X5 @ X0) = $false) | ($true = $false) | ((eiw_di @ (sK4 @ X1 @ sK3) @ X3) = $false)) )),
% 0.19/0.49 inference(superposition,[],[f57,f256])).
% 0.19/0.49 thf(f256,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld,X5 : mworld] : (((mrel @ (sK5 @ X4 @ (sK4 @ X0 @ sK3)) @ (sK6 @ (sK4 @ X0 @ sK3) @ X1 @ (sK4 @ X0 @ sK3))) = $false) | ($false = (eiw_di @ sK3 @ X0)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2)) | ((mrel @ X1 @ X1) = $false) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X5)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X3)) | ($false = (mrel @ X2 @ X1)) | ((mrel @ X3 @ X4) = $false)) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f255])).
% 0.19/0.49 thf(f255,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld,X5 : mworld] : (((mrel @ X3 @ X4) = $false) | ($true = $false) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X3)) | ($false = (mrel @ X2 @ X1)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X5)) | ((mrel @ (sK5 @ X4 @ (sK4 @ X0 @ sK3)) @ (sK6 @ (sK4 @ X0 @ sK3) @ X1 @ (sK4 @ X0 @ sK3))) = $false) | ((mrel @ X1 @ X1) = $false) | ($false = (eiw_di @ sK3 @ X0))) )),
% 0.19/0.49 inference(duplicate_literal_removal,[],[f251])).
% 0.19/0.49 thf(f251,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld,X5 : mworld] : (($false = (eiw_di @ sK3 @ X0)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X3)) | ((mrel @ X3 @ X4) = $false) | ($true = $false) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X5)) | ($false = (mrel @ X2 @ X1)) | ($false = (eiw_di @ sK3 @ X0)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2)) | ((mrel @ (sK5 @ X4 @ (sK4 @ X0 @ sK3)) @ (sK6 @ (sK4 @ X0 @ sK3) @ X1 @ (sK4 @ X0 @ sK3))) = $false) | ((mrel @ X1 @ X1) = $false)) )),
% 0.19/0.49 inference(superposition,[],[f185,f241])).
% 0.19/0.49 thf(f241,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld] : (((f @ (sK4 @ X0 @ sK3) @ (sK4 @ X0 @ sK3) @ X1) = $true) | ($false = (eiw_di @ sK3 @ X0)) | ((mrel @ X3 @ X4) = $false) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X3)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2)) | ($false = (mrel @ (sK5 @ X4 @ (sK4 @ X0 @ sK3)) @ X1))) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f240])).
% 0.19/0.49 thf(f240,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld] : (($false = (eiw_di @ sK3 @ X0)) | ((mrel @ X3 @ X4) = $false) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2)) | ((f @ (sK4 @ X0 @ sK3) @ (sK4 @ X0 @ sK3) @ X1) = $true) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X3)) | ($false = (mrel @ (sK5 @ X4 @ (sK4 @ X0 @ sK3)) @ X1)) | ($true = $false)) )),
% 0.19/0.49 inference(forward_demodulation,[],[f239,f57])).
% 0.19/0.49 thf(f239,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld] : (((mrel @ X3 @ X4) = $false) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X3)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2)) | ($false = (eiw_di @ sK3 @ X0)) | ($false = (mrel @ (sK5 @ X4 @ (sK4 @ X0 @ sK3)) @ X1)) | ((mrel @ X0 @ X3) = $false) | ((f @ (sK4 @ X0 @ sK3) @ (sK4 @ X0 @ sK3) @ X1) = $true)) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f238])).
% 0.19/0.49 thf(f238,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld] : (($false = (eiw_di @ sK3 @ X0)) | ($false = (mrel @ (sK5 @ X4 @ (sK4 @ X0 @ sK3)) @ X1)) | ((f @ (sK4 @ X0 @ sK3) @ (sK4 @ X0 @ sK3) @ X1) = $true) | ((mrel @ X0 @ X3) = $false) | ((mrel @ X3 @ X4) = $false) | ($true = $false) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X3)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2))) )),
% 0.19/0.49 inference(forward_demodulation,[],[f237,f57])).
% 0.19/0.49 thf(f237,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld] : (((mrel @ X4 @ X1) = $false) | ($false = (mrel @ (sK5 @ X4 @ (sK4 @ X0 @ sK3)) @ X1)) | ((f @ (sK4 @ X0 @ sK3) @ (sK4 @ X0 @ sK3) @ X1) = $true) | ((mrel @ X3 @ X4) = $false) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X3)) | ((mrel @ X0 @ X3) = $false) | ($false = (eiw_di @ sK3 @ X0))) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f222])).
% 0.19/0.49 thf(f222,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld] : (((mrel @ X0 @ X3) = $false) | ($false = (eiw_di @ sK3 @ X0)) | ((mrel @ X4 @ X1) = $false) | ($true != $true) | ((mrel @ X3 @ X4) = $false) | ($false = (mrel @ (sK5 @ X4 @ (sK4 @ X0 @ sK3)) @ X1)) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X2)) | ((f @ (sK4 @ X0 @ sK3) @ (sK4 @ X0 @ sK3) @ X1) = $true) | ($false = (eiw_di @ (sK4 @ X0 @ sK3) @ X3))) )),
% 0.19/0.49 inference(equality_factoring,[],[f208])).
% 0.19/0.49 thf(f208,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X0 : mworld,X1 : mworld,X6 : mworld,X4 : mworld,X5 : mworld] : (($true = (f @ X2 @ (sK4 @ X5 @ sK3) @ X4)) | ((eiw_di @ X2 @ X0) = $false) | ((eiw_di @ sK3 @ X5) = $false) | ((mrel @ X6 @ X1) = $false) | ((mrel @ (sK5 @ X1 @ X2) @ X3) = $false) | ($false = (mrel @ X5 @ X6)) | ((eiw_di @ X2 @ X6) = $false) | ((f @ X2 @ X2 @ X3) = $true) | ((mrel @ X1 @ X4) = $false)) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f202])).
% 0.19/0.49 thf(f202,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X0 : mworld,X1 : mworld,X6 : mworld,X4 : mworld,X5 : mworld] : (($true = (f @ X2 @ (sK4 @ X5 @ sK3) @ X4)) | ((eiw_di @ X2 @ X0) = $false) | ($false = (mrel @ X5 @ X6)) | ((eiw_di @ X2 @ X6) = $false) | ((mrel @ X1 @ X4) = $false) | ((mrel @ (sK5 @ X1 @ X2) @ X3) = $false) | ((f @ X2 @ X2 @ X3) = $true) | ($true = $false) | ((mrel @ X6 @ X1) = $false) | ((eiw_di @ sK3 @ X5) = $false)) )),
% 0.19/0.49 inference(superposition,[],[f198,f57])).
% 0.19/0.49 thf(f198,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : $i,X1 : mworld,X6 : mworld,X4 : mworld,X5 : mworld] : (((mrel @ X6 @ (sK6 @ sK3 @ X1 @ X0)) = $false) | ((f @ X0 @ X0 @ X4) = $true) | ((mrel @ X1 @ X5) = $false) | ((eiw_di @ X0 @ X6) = $false) | ((f @ X0 @ (sK4 @ X2 @ sK3) @ X5) = $true) | ((eiw_di @ X0 @ X3) = $false) | ((mrel @ (sK5 @ X1 @ X0) @ X4) = $false) | ((mrel @ X3 @ X1) = $false) | ((mrel @ X2 @ X3) = $false) | ((eiw_di @ sK3 @ X2) = $false)) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f197])).
% 0.19/0.49 thf(f197,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : $i,X1 : mworld,X6 : mworld,X4 : mworld,X5 : mworld] : (((eiw_di @ X0 @ X6) = $false) | ((eiw_di @ X0 @ X3) = $false) | ((mrel @ (sK5 @ X1 @ X0) @ X4) = $false) | ((mrel @ X3 @ X1) = $false) | ($true = $false) | ((mrel @ X2 @ X3) = $false) | ((mrel @ X6 @ (sK6 @ sK3 @ X1 @ X0)) = $false) | ((f @ X0 @ X0 @ X4) = $true) | ((mrel @ X1 @ X5) = $false) | ((eiw_di @ sK3 @ X2) = $false) | ((f @ X0 @ (sK4 @ X2 @ sK3) @ X5) = $true)) )),
% 0.19/0.49 inference(forward_demodulation,[],[f196,f57])).
% 0.19/0.49 thf(f196,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : $i,X1 : mworld,X6 : mworld,X4 : mworld,X5 : mworld] : (((f @ X0 @ X0 @ X4) = $true) | ((mrel @ (sK5 @ X1 @ X0) @ X4) = $false) | ((mrel @ X3 @ X1) = $false) | ((eiw_di @ X0 @ X6) = $false) | ((mrel @ X2 @ X3) = $false) | ((mrel @ X1 @ X5) = $false) | ((mrel @ X6 @ (sK6 @ sK3 @ X1 @ X0)) = $false) | ((eiw_di @ sK3 @ X2) = $false) | ((f @ X0 @ (sK4 @ X2 @ sK3) @ X5) = $true) | ($false = (mrel @ sK2 @ X6)) | ((eiw_di @ X0 @ X3) = $false)) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f191])).
% 0.19/0.49 thf(f191,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : $i,X1 : mworld,X6 : mworld,X4 : mworld,X5 : mworld] : (((mrel @ X1 @ X5) = $false) | ((mrel @ X6 @ (sK6 @ sK3 @ X1 @ X0)) = $false) | ((mrel @ X3 @ X1) = $false) | ((eiw_di @ X0 @ X6) = $false) | ((mrel @ X2 @ X3) = $false) | ((eiw_di @ sK3 @ X2) = $false) | ((f @ X0 @ X0 @ X4) = $true) | ((eiw_di @ X0 @ X3) = $false) | ((f @ X0 @ (sK4 @ X2 @ sK3) @ X5) = $true) | ($false = (mrel @ sK2 @ X6)) | ((mrel @ (sK5 @ X1 @ X0) @ X4) = $false) | ($true = $false)) )),
% 0.19/0.49 inference(superposition,[],[f189,f82])).
% 0.19/0.49 thf(f82,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (((f @ X2 @ sK3 @ X3) = $true) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ X1 @ X3) = $false) | ($false = (mrel @ sK2 @ X1))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f81])).
% 0.19/0.49 thf(f81,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK2 @ X1)) | (((mrel @ X1 @ X3) => (f @ X2 @ sK3 @ X3)) = $true)) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f80])).
% 0.19/0.49 thf(f80,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = (eiw_di @ X2 @ X1)) | ($true = ((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (f @ X2 @ sK3 @ Y0))) @ X3)) | ($false = (mrel @ sK2 @ X1))) )),
% 0.19/0.49 inference(pi_clausification,[],[f79])).
% 0.19/0.49 thf(f79,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : (($false = (mrel @ sK2 @ X1)) | ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (f @ X2 @ sK3 @ Y0))))) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f78])).
% 0.19/0.49 thf(f78,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : (($false = (mrel @ sK2 @ X1)) | (((eiw_di @ X2 @ X1) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (f @ X2 @ sK3 @ Y0))))) = $true)) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f77])).
% 0.19/0.49 thf(f77,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (f @ Y0 @ sK3 @ Y1)))))) @ X2) = $true) | ($false = (mrel @ sK2 @ X1))) )),
% 0.19/0.49 inference(pi_clausification,[],[f76])).
% 0.19/0.49 thf(f76,plain,(
% 0.19/0.49 ( ! [X1 : mworld] : (($false = (mrel @ sK2 @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (f @ Y0 @ sK3 @ Y1))))))) = $true)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f75])).
% 0.19/0.49 thf(f75,plain,(
% 0.19/0.49 ( ! [X1 : mworld] : (($true = ((mrel @ sK2 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (f @ Y0 @ sK3 @ Y1)))))))))) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f74])).
% 0.19/0.49 thf(f74,plain,(
% 0.19/0.49 ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ sK3 @ Y2))))))))) @ X1))) )),
% 0.19/0.49 inference(pi_clausification,[],[f73])).
% 0.19/0.49 thf(f73,plain,(
% 0.19/0.49 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ sK3 @ Y2)))))))))) = $true)),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f71])).
% 0.19/0.49 thf(f71,plain,(
% 0.19/0.49 ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (f @ Y1 @ sK3 @ Y2)))))))))) & (eiw_di @ sK3 @ sK2)))),
% 0.19/0.49 inference(beta_eta_normalization,[],[f70])).
% 0.19/0.49 thf(f70,plain,(
% 0.19/0.49 ($true = ((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y0 @ Y3)))))))))) & (eiw_di @ Y0 @ sK2))) @ sK3))),
% 0.19/0.49 inference(sigma_clausification,[],[f69])).
% 0.19/0.49 thf(f69,plain,(
% 0.19/0.49 ($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y0 @ Y3)))))))))) & (eiw_di @ Y0 @ sK2)))))),
% 0.19/0.49 inference(not_proxy_clausification,[],[f67])).
% 0.19/0.49 thf(f67,plain,(
% 0.19/0.49 ((~ (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y0 @ Y3)))))))))) & (eiw_di @ Y0 @ sK2))))) = $false)),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f66])).
% 0.19/0.49 thf(f66,plain,(
% 0.19/0.49 (((mrel @ sK1 @ sK2) => (~ (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (f @ Y2 @ Y0 @ Y3)))))))))) & (eiw_di @ Y0 @ sK2)))))) = $false)),
% 0.19/0.49 inference(beta_eta_normalization,[],[f65])).
% 0.19/0.49 thf(f65,plain,(
% 0.19/0.49 (((^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (~ (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y1 @ Y4)))))))))) & (eiw_di @ Y1 @ Y0))))))) @ sK2) = $false)),
% 0.19/0.49 inference(sigma_clausification,[],[f63])).
% 0.19/0.49 thf(f63,plain,(
% 0.19/0.49 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (~ (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y1 @ Y4)))))))))) & (eiw_di @ Y1 @ Y0)))))))) = $false)),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f61])).
% 0.19/0.49 thf(f61,plain,(
% 0.19/0.49 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (~ (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y4 @ Y4 @ Y7)))))))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y1 @ Y6))))) => (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y2 @ Y6)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => ((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y2 @ Y6)))) => ((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (~ (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y4 @ Y4 @ Y7)))))))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y1 @ Y6)))))))))))))))) & (eiw_di @ Y2 @ Y0)))))))))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (~ (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y1 @ Y4)))))))))) & (eiw_di @ Y1 @ Y0))))))))) = $false)),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f60])).
% 0.19/0.49 thf(f60,plain,(
% 0.19/0.49 ($false = ((mrel @ mactual @ sK1) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (~ (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y4 @ Y4 @ Y7)))))))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y1 @ Y6))))) => (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y2 @ Y6)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => ((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y2 @ Y6)))) => ((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (~ (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y4 @ Y4 @ Y7)))))))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y1 @ Y6)))))))))))))))) & (eiw_di @ Y2 @ Y0)))))))))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (~ (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (f @ Y3 @ Y1 @ Y4)))))))))) & (eiw_di @ Y1 @ Y0)))))))))))),
% 0.19/0.49 inference(beta_eta_normalization,[],[f59])).
% 0.19/0.49 thf(f59,plain,(
% 0.19/0.49 (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (((!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (~ (!! @ mworld @ (^[Y8 : mworld]: ((mrel @ Y7 @ Y8) => (f @ Y5 @ Y5 @ Y8)))))))) & (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y2 @ Y7))))) => (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y3 @ Y7)))))))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => ((!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y3 @ Y7)))) => ((!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (~ (!! @ mworld @ (^[Y8 : mworld]: ((mrel @ Y7 @ Y8) => (f @ Y5 @ Y5 @ Y8)))))))) & (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y2 @ Y7)))))))))))))))) & (eiw_di @ Y3 @ Y1)))))))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (f @ Y4 @ Y2 @ Y5)))))))))) & (eiw_di @ Y2 @ Y1))))))))))) @ sK1) = $false)),
% 0.19/0.49 inference(sigma_clausification,[],[f58])).
% 0.19/0.49 thf(f58,plain,(
% 0.19/0.49 ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (((!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (~ (!! @ mworld @ (^[Y8 : mworld]: ((mrel @ Y7 @ Y8) => (f @ Y5 @ Y5 @ Y8)))))))) & (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y2 @ Y7))))) => (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y3 @ Y7)))))))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => ((!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y3 @ Y7)))) => ((!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (~ (!! @ mworld @ (^[Y8 : mworld]: ((mrel @ Y7 @ Y8) => (f @ Y5 @ Y5 @ Y8)))))))) & (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y2 @ Y7)))))))))))))))) & (eiw_di @ Y3 @ Y1)))))))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (f @ Y4 @ Y2 @ Y5)))))))))) & (eiw_di @ Y2 @ Y1)))))))))))))),
% 0.19/0.49 inference(not_proxy_clausification,[],[f53])).
% 0.19/0.49 thf(f53,plain,(
% 0.19/0.49 ($true = (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (((!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (~ (!! @ mworld @ (^[Y8 : mworld]: ((mrel @ Y7 @ Y8) => (f @ Y5 @ Y5 @ Y8)))))))) & (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y2 @ Y7))))) => (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y3 @ Y7)))))))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => ((!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y3 @ Y7)))) => ((!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (~ (!! @ mworld @ (^[Y8 : mworld]: ((mrel @ Y7 @ Y8) => (f @ Y5 @ Y5 @ Y8)))))))) & (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y5 @ Y2 @ Y7)))))))))))))))) & (eiw_di @ Y3 @ Y1)))))))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (f @ Y4 @ Y2 @ Y5)))))))))) & (eiw_di @ Y2 @ Y1))))))))))))))),
% 0.19/0.49 inference(beta_eta_normalization,[],[f52])).
% 0.19/0.49 thf(f52,plain,(
% 0.19/0.49 ((~ ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[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]: ((Y1 @ Y3 @ Y2) & (eiw_di @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ ((^[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]: ((Y4 @ Y5) & (Y3 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (f @ Y2 @ Y1)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y4 @ Y5) & (Y3 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (f @ Y2 @ Y0)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (~ (Y3 @ Y4))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (f @ Y2 @ Y2))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y4 @ Y5) & (Y3 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (f @ Y2 @ Y0)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (~ (Y3 @ Y4))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (f @ Y2 @ Y2))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (f @ Y2 @ Y1))))))))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))) @ ((^[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 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ (f @ Y1 @ Y0))))))))))))) = $true)),
% 0.19/0.49 inference(definition_unfolding,[],[f50,f48,f42,f43,f42,f49,f47,f42,f49,f46,f42,f43,f42,f46,f42,f42,f44,f42,f42,f43,f46,f42,f42,f44,f42,f42,f42,f44,f47,f42,f49,f42])).
% 0.19/0.49 thf(f44,plain,(
% 0.19/0.49 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.19/0.49 inference(cnf_transformation,[],[f33])).
% 0.19/0.49 thf(f33,plain,(
% 0.19/0.49 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.19/0.49 inference(fool_elimination,[],[f32])).
% 0.19/0.49 thf(f32,plain,(
% 0.19/0.49 (mnot = (^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))))),
% 0.19/0.49 inference(rectify,[],[f2])).
% 0.19/0.49 thf(f2,axiom,(
% 0.19/0.49 (mnot = (^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def)).
% 0.19/0.49 thf(f46,plain,(
% 0.19/0.49 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.19/0.49 inference(cnf_transformation,[],[f31])).
% 0.19/0.49 thf(f31,plain,(
% 0.19/0.49 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.19/0.49 inference(fool_elimination,[],[f30])).
% 0.19/0.49 thf(f30,plain,(
% 0.19/0.49 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))))),
% 0.19/0.49 inference(rectify,[],[f3])).
% 0.19/0.49 thf(f3,axiom,(
% 0.19/0.49 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def)).
% 0.19/0.49 thf(f47,plain,(
% 0.19/0.49 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.19/0.49 inference(cnf_transformation,[],[f23])).
% 0.19/0.49 thf(f23,plain,(
% 0.19/0.49 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 0.19/0.49 inference(fool_elimination,[],[f22])).
% 0.19/0.49 thf(f22,plain,(
% 0.19/0.49 ((^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))) = mexists_di)),
% 0.19/0.49 inference(rectify,[],[f12])).
% 0.19/0.49 thf(f12,axiom,(
% 0.19/0.49 ((^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : ((eiw_di @ X5 @ X2) & (X1 @ X5 @ X2)))) = mexists_di)),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def)).
% 0.19/0.49 thf(f49,plain,(
% 0.19/0.49 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.19/0.49 inference(cnf_transformation,[],[f27])).
% 0.19/0.49 thf(f27,plain,(
% 0.19/0.49 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.19/0.49 inference(fool_elimination,[],[f26])).
% 0.19/0.49 thf(f26,plain,(
% 0.19/0.49 (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 0.19/0.49 inference(rectify,[],[f11])).
% 0.19/0.49 thf(f11,axiom,(
% 0.19/0.49 (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : ((eiw_di @ X5 @ X2) => (X1 @ X5 @ X2)))))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def)).
% 0.19/0.49 thf(f43,plain,(
% 0.19/0.49 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.19/0.49 inference(cnf_transformation,[],[f40])).
% 0.19/0.49 thf(f40,plain,(
% 0.19/0.49 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.19/0.49 inference(fool_elimination,[],[f39])).
% 0.19/0.49 thf(f39,plain,(
% 0.19/0.49 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 0.19/0.49 inference(rectify,[],[f5])).
% 0.19/0.49 thf(f5,axiom,(
% 0.19/0.49 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 0.19/0.49 thf(f42,plain,(
% 0.19/0.49 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.19/0.49 inference(cnf_transformation,[],[f25])).
% 0.19/0.49 thf(f25,plain,(
% 0.19/0.49 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.19/0.49 inference(fool_elimination,[],[f24])).
% 0.19/0.49 thf(f24,plain,(
% 0.19/0.49 ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 0.19/0.49 inference(rectify,[],[f7])).
% 0.19/0.49 thf(f7,axiom,(
% 0.19/0.49 ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def)).
% 0.19/0.49 thf(f48,plain,(
% 0.19/0.49 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.19/0.49 inference(cnf_transformation,[],[f38])).
% 0.19/0.49 thf(f38,plain,(
% 0.19/0.49 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.19/0.49 inference(fool_elimination,[],[f1])).
% 0.19/0.49 thf(f1,axiom,(
% 0.19/0.49 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.19/0.49 thf(f50,plain,(
% 0.19/0.49 ((~ (mlocal @ (mbox @ (mimplies @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mbox @ (mforall_di @ (^[Y2 : $i]: (mand @ (mbox @ (mimplies @ (mbox @ (f @ Y2 @ Y1)) @ (mand @ (mbox @ (f @ Y2 @ Y0)) @ (mbox @ (mnot @ (mbox @ (f @ Y2 @ Y2))))))) @ (mbox @ (mimplies @ (mand @ (mbox @ (f @ Y2 @ Y0)) @ (mbox @ (mnot @ (mbox @ (f @ Y2 @ Y2))))) @ (mbox @ (f @ Y2 @ Y1))))))))))))) @ (mbox @ (mnot @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mbox @ (f @ Y1 @ Y0))))))))))))) = $true)),
% 0.19/0.49 inference(cnf_transformation,[],[f37])).
% 0.19/0.49 thf(f37,plain,(
% 0.19/0.49 ((~ (mlocal @ (mbox @ (mimplies @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mbox @ (mforall_di @ (^[Y2 : $i]: (mand @ (mbox @ (mimplies @ (mbox @ (f @ Y2 @ Y1)) @ (mand @ (mbox @ (f @ Y2 @ Y0)) @ (mbox @ (mnot @ (mbox @ (f @ Y2 @ Y2))))))) @ (mbox @ (mimplies @ (mand @ (mbox @ (f @ Y2 @ Y0)) @ (mbox @ (mnot @ (mbox @ (f @ Y2 @ Y2))))) @ (mbox @ (f @ Y2 @ Y1))))))))))))) @ (mbox @ (mnot @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mbox @ (f @ Y1 @ Y0))))))))))))) = $true)),
% 0.19/0.49 inference(fool_elimination,[],[f36])).
% 0.19/0.49 thf(f36,plain,(
% 0.19/0.49 ~(mlocal @ (mbox @ (mimplies @ (mbox @ (mforall_di @ (^[X0 : $i] : (mexists_di @ (^[X1 : $i] : (mbox @ (mforall_di @ (^[X2 : $i] : (mand @ (mbox @ (mimplies @ (mbox @ (f @ X2 @ X1)) @ (mand @ (mbox @ (f @ X2 @ X0)) @ (mbox @ (mnot @ (mbox @ (f @ X2 @ X2))))))) @ (mbox @ (mimplies @ (mand @ (mbox @ (f @ X2 @ X0)) @ (mbox @ (mnot @ (mbox @ (f @ X2 @ X2))))) @ (mbox @ (f @ X2 @ X1))))))))))))) @ (mbox @ (mnot @ (mexists_di @ (^[X3 : $i] : (mbox @ (mforall_di @ (^[X4 : $i] : (mbox @ (f @ X4 @ X3))))))))))))),
% 0.19/0.49 inference(rectify,[],[f14])).
% 0.19/0.49 thf(f14,negated_conjecture,(
% 0.19/0.49 ~(mlocal @ (mbox @ (mimplies @ (mbox @ (mforall_di @ (^[X6 : $i] : (mexists_di @ (^[X7 : $i] : (mbox @ (mforall_di @ (^[X5 : $i] : (mand @ (mbox @ (mimplies @ (mbox @ (f @ X5 @ X7)) @ (mand @ (mbox @ (f @ X5 @ X6)) @ (mbox @ (mnot @ (mbox @ (f @ X5 @ X5))))))) @ (mbox @ (mimplies @ (mand @ (mbox @ (f @ X5 @ X6)) @ (mbox @ (mnot @ (mbox @ (f @ X5 @ X5))))) @ (mbox @ (f @ X5 @ X7))))))))))))) @ (mbox @ (mnot @ (mexists_di @ (^[X4 : $i] : (mbox @ (mforall_di @ (^[X8 : $i] : (mbox @ (f @ X8 @ X4))))))))))))),
% 0.19/0.49 inference(negated_conjecture,[],[f13])).
% 0.19/0.49 thf(f13,conjecture,(
% 0.19/0.49 (mlocal @ (mbox @ (mimplies @ (mbox @ (mforall_di @ (^[X6 : $i] : (mexists_di @ (^[X7 : $i] : (mbox @ (mforall_di @ (^[X5 : $i] : (mand @ (mbox @ (mimplies @ (mbox @ (f @ X5 @ X7)) @ (mand @ (mbox @ (f @ X5 @ X6)) @ (mbox @ (mnot @ (mbox @ (f @ X5 @ X5))))))) @ (mbox @ (mimplies @ (mand @ (mbox @ (f @ X5 @ X6)) @ (mbox @ (mnot @ (mbox @ (f @ X5 @ X5))))) @ (mbox @ (f @ X5 @ X7))))))))))))) @ (mbox @ (mnot @ (mexists_di @ (^[X4 : $i] : (mbox @ (mforall_di @ (^[X8 : $i] : (mbox @ (f @ X8 @ X4))))))))))))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish256)).
% 0.19/0.49 thf(f189,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X7 : mworld,X4 : $i,X5 : mworld] : (($false = (f @ X4 @ X2 @ (sK6 @ X2 @ X5 @ X4))) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ X1 @ X3) = $false) | ((mrel @ (sK5 @ X5 @ X4) @ X7) = $false) | ((mrel @ X3 @ X5) = $false) | ((f @ X4 @ X4 @ X7) = $true) | ($false = (mrel @ X5 @ X6)) | ($true = (f @ X4 @ (sK4 @ X1 @ X2) @ X6)) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f188])).
% 0.19/0.49 thf(f188,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X7 : mworld,X4 : $i,X5 : mworld] : (($true = $false) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ X3 @ X5) = $false) | ((mrel @ (sK5 @ X5 @ X4) @ X7) = $false) | ($false = (mrel @ X5 @ X6)) | ($false = (f @ X4 @ X2 @ (sK6 @ X2 @ X5 @ X4))) | ($true = (f @ X4 @ (sK4 @ X1 @ X2) @ X6)) | ((mrel @ X1 @ X3) = $false) | ((f @ X4 @ X4 @ X7) = $true) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(forward_demodulation,[],[f120,f57])).
% 0.19/0.49 thf(f120,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X7 : mworld,X4 : $i,X5 : mworld] : (((f @ X4 @ X4 @ X7) = $true) | ($false = (mrel @ X5 @ X6)) | ($false = (mrel @ sK1 @ X1)) | ($true = (f @ X4 @ (sK4 @ X1 @ X2) @ X6)) | ($false = (f @ X4 @ X2 @ (sK6 @ X2 @ X5 @ X4))) | ((mrel @ (sK5 @ X5 @ X4) @ X7) = $false) | ((eiw_di @ X4 @ X3) = $false) | ((mrel @ X1 @ X3) = $false) | ((mrel @ X3 @ X5) = $false) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f119])).
% 0.19/0.49 thf(f119,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X7 : mworld,X4 : $i,X5 : mworld] : (($false = (eiw_di @ X2 @ X1)) | ((mrel @ (sK5 @ X5 @ X4) @ X7) = $false) | ((f @ X4 @ X4 @ X7) = $true) | ($false = (f @ X4 @ X2 @ (sK6 @ X2 @ X5 @ X4))) | ($false = (mrel @ sK1 @ X1)) | ($true = ((mrel @ X5 @ X6) => (f @ X4 @ (sK4 @ X1 @ X2) @ X6))) | ((mrel @ X3 @ X5) = $false) | ((mrel @ X1 @ X3) = $false) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f117])).
% 0.19/0.49 thf(f117,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X7 : mworld,X4 : $i,X5 : mworld] : (($false = (eiw_di @ X2 @ X1)) | ($true = ((mrel @ (sK5 @ X5 @ X4) @ X7) => (f @ X4 @ X4 @ X7))) | ((mrel @ X3 @ X5) = $false) | ($false = (mrel @ sK1 @ X1)) | ($true = ((mrel @ X5 @ X6) => (f @ X4 @ (sK4 @ X1 @ X2) @ X6))) | ((eiw_di @ X4 @ X3) = $false) | ($false = (f @ X4 @ X2 @ (sK6 @ X2 @ X5 @ X4))) | ((mrel @ X1 @ X3) = $false)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f116])).
% 0.19/0.49 thf(f116,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X7 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = ((mrel @ X5 @ (sK6 @ X2 @ X5 @ X4)) => (f @ X4 @ X2 @ (sK6 @ X2 @ X5 @ X4)))) | ($true = ((mrel @ (sK5 @ X5 @ X4) @ X7) => (f @ X4 @ X4 @ X7))) | ($false = (mrel @ sK1 @ X1)) | ($true = ((mrel @ X5 @ X6) => (f @ X4 @ (sK4 @ X1 @ X2) @ X6))) | ((mrel @ X3 @ X5) = $false) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f115])).
% 0.19/0.49 thf(f115,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X7 : mworld,X4 : $i,X5 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ (sK5 @ X5 @ X4) @ Y0) => (f @ X4 @ X4 @ Y0))) @ X7)) | ($true = ((mrel @ X5 @ X6) => (f @ X4 @ (sK4 @ X1 @ X2) @ X6))) | ((mrel @ X1 @ X3) = $false) | ((eiw_di @ X4 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = ((mrel @ X5 @ (sK6 @ X2 @ X5 @ X4)) => (f @ X4 @ X2 @ (sK6 @ X2 @ X5 @ X4)))) | ($false = (mrel @ sK1 @ X1)) | ((mrel @ X3 @ X5) = $false)) )),
% 0.19/0.49 inference(pi_clausification,[],[f114])).
% 0.19/0.49 thf(f114,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK5 @ X5 @ X4) @ Y0) => (f @ X4 @ X4 @ Y0))))) | ($true = ((mrel @ X5 @ X6) => (f @ X4 @ (sK4 @ X1 @ X2) @ X6))) | ($false = ((mrel @ X5 @ (sK6 @ X2 @ X5 @ X4)) => (f @ X4 @ X2 @ (sK6 @ X2 @ X5 @ X4)))) | ((mrel @ X3 @ X5) = $false) | ((mrel @ X1 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1)) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f113])).
% 0.19/0.49 thf(f113,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X3 @ X5) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = ((^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0))) @ (sK6 @ X2 @ X5 @ X4))) | ($true = ((mrel @ X5 @ X6) => (f @ X4 @ (sK4 @ X1 @ X2) @ X6))) | ((eiw_di @ X4 @ X3) = $false) | ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK5 @ X5 @ X4) @ Y0) => (f @ X4 @ X4 @ Y0))))) | ((mrel @ X1 @ X3) = $false) | ($false = (mrel @ sK1 @ X1))) )),
% 0.19/0.49 inference(sigma_clausification,[],[f112])).
% 0.19/0.49 thf(f112,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X3) = $false) | ($false = (mrel @ sK1 @ X1)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0)))) = $false) | ($true = ((mrel @ X5 @ X6) => (f @ X4 @ (sK4 @ X1 @ X2) @ X6))) | ((eiw_di @ X4 @ X3) = $false) | ((mrel @ X3 @ X5) = $false) | ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK5 @ X5 @ X4) @ Y0) => (f @ X4 @ X4 @ Y0))))) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.19/0.49 inference(not_proxy_clausification,[],[f110])).
% 0.19/0.49 thf(f110,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X3) = $false) | ((~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK5 @ X5 @ X4) @ Y0) => (f @ X4 @ X4 @ Y0))))) = $false) | ($true = ((mrel @ X5 @ X6) => (f @ X4 @ (sK4 @ X1 @ X2) @ X6))) | ((eiw_di @ X4 @ X3) = $false) | ((mrel @ X3 @ X5) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0)))) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f109])).
% 0.19/0.49 thf(f109,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((eiw_di @ X4 @ X3) = $false) | ($false = (mrel @ sK1 @ X1)) | (((mrel @ X5 @ (sK5 @ X5 @ X4)) => (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ (sK5 @ X5 @ X4) @ Y0) => (f @ X4 @ X4 @ Y0)))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0)))) = $false) | ((mrel @ X3 @ X5) = $false) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ X1 @ X3) = $false) | ($true = ((mrel @ X5 @ X6) => (f @ X4 @ (sK4 @ X1 @ X2) @ X6)))) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f108])).
% 0.19/0.49 thf(f108,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X3) = $false) | ((mrel @ X3 @ X5) = $false) | ($false = (eiw_di @ X2 @ X1)) | ((eiw_di @ X4 @ X3) = $false) | ($true = ((mrel @ X5 @ X6) => (f @ X4 @ (sK4 @ X1 @ X2) @ X6))) | ($false = (mrel @ sK1 @ X1)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0)))) = $false) | (((^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1))))))) @ (sK5 @ X5 @ X4)) = $false)) )),
% 0.19/0.49 inference(sigma_clausification,[],[f107])).
% 0.19/0.49 thf(f107,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0)))) = $false) | ($false = (mrel @ sK1 @ X1)) | ((eiw_di @ X4 @ X3) = $false) | ((mrel @ X3 @ X5) = $false) | ($true = ((mrel @ X5 @ X6) => (f @ X4 @ (sK4 @ X1 @ X2) @ X6)))) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f106])).
% 0.19/0.49 thf(f106,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X3 @ X5) = $false) | (((^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y0))) @ X6) = $true) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0)))) = $false) | ($false = (eiw_di @ X2 @ X1)) | ((eiw_di @ X4 @ X3) = $false) | ($false = (mrel @ sK1 @ X1)) | ((mrel @ X1 @ X3) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) = $false)) )),
% 0.19/0.49 inference(pi_clausification,[],[f105])).
% 0.19/0.49 thf(f105,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (((eiw_di @ X4 @ X3) = $false) | ($false = (mrel @ sK1 @ X1)) | ((mrel @ X3 @ X5) = $false) | ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y0))))) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ X1 @ X3) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) = $false)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f104])).
% 0.19/0.49 thf(f104,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0))))) = $false) | ((mrel @ X1 @ X3) = $false) | ((mrel @ X3 @ X5) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1)) | ((eiw_di @ X4 @ X3) = $false) | ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y0)))))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f103])).
% 0.19/0.49 thf(f103,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X3) = $false) | ((mrel @ X3 @ X5) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1)) | ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0))))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y0))))) = $true) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f102])).
% 0.19/0.49 thf(f102,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (($false = (eiw_di @ X2 @ X1)) | (((mrel @ X3 @ X5) => (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0))))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y0)))))) = $true) | ($false = (mrel @ sK1 @ X1)) | ((mrel @ X1 @ X3) = $false) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f101])).
% 0.19/0.49 thf(f101,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (((eiw_di @ X4 @ X3) = $false) | ($false = (mrel @ sK1 @ X1)) | ((mrel @ X1 @ X3) = $false) | (((^[Y0 : mworld]: ((mrel @ X3 @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ X4 @ X4 @ Y2)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X2 @ Y1))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y1))))))) @ X5) = $true) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.19/0.49 inference(pi_clausification,[],[f100])).
% 0.19/0.49 thf(f100,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i] : (((mrel @ X1 @ X3) = $false) | ((eiw_di @ X4 @ X3) = $false) | ($false = (mrel @ sK1 @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X3 @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ X4 @ X4 @ Y2)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X2 @ Y1))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y1)))))))))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f98])).
% 0.19/0.49 thf(f98,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i] : (($false = (mrel @ sK1 @ X1)) | ((eiw_di @ X4 @ X3) = $false) | ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X3 @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ X4 @ X4 @ Y2)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X2 @ Y1))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y1)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X3 @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y1)))) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ X4 @ X4 @ Y2)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X2 @ Y1))))))))))) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ X1 @ X3) = $false)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f97])).
% 0.19/0.49 thf(f97,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i] : (($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1)) | ((mrel @ X1 @ X3) = $false) | (((eiw_di @ X4 @ X3) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X3 @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ X4 @ X4 @ Y2)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X2 @ Y1))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y1)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X3 @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y1)))) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ X4 @ X4 @ Y2)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X2 @ Y1))))))))))) = $true)) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f96])).
% 0.19/0.49 thf(f96,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ X3) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y0 @ Y0 @ Y3)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ X2 @ Y2))))) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ (sK4 @ X1 @ X2) @ Y2)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ (sK4 @ X1 @ X2) @ Y2)))) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y0 @ Y0 @ Y3)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ X2 @ Y2)))))))))))) @ X4) = $true) | ($false = (mrel @ sK1 @ X1)) | ((mrel @ X1 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.19/0.49 inference(pi_clausification,[],[f95])).
% 0.19/0.49 thf(f95,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X3) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y0 @ Y0 @ Y3)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ X2 @ Y2))))) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ (sK4 @ X1 @ X2) @ Y2)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ (sK4 @ X1 @ X2) @ Y2)))) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y0 @ Y0 @ Y3)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ X2 @ Y2))))))))))))) = $true) | ((mrel @ X1 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f94])).
% 0.19/0.49 thf(f94,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : ((((mrel @ X1 @ X3) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X3) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y0 @ Y0 @ Y3)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ X2 @ Y2))))) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ (sK4 @ X1 @ X2) @ Y2)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ (sK4 @ X1 @ X2) @ Y2)))) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (~ (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y0 @ Y0 @ Y3)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ Y0 @ X2 @ Y2)))))))))))))) = $true) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1))) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f93])).
% 0.19/0.49 thf(f93,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($false = (eiw_di @ X2 @ X1)) | (((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (~ (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y1 @ Y1 @ Y4)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ X2 @ Y3))))) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ (sK4 @ X1 @ X2) @ Y3)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ (sK4 @ X1 @ X2) @ Y3)))) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (~ (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y1 @ Y1 @ Y4)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ X2 @ Y3))))))))))))))) @ X3) = $true) | ($false = (mrel @ sK1 @ X1))) )),
% 0.19/0.49 inference(pi_clausification,[],[f92])).
% 0.19/0.49 thf(f92,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : (($false = (mrel @ sK1 @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (~ (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y1 @ Y1 @ Y4)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ X2 @ Y3))))) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ (sK4 @ X1 @ X2) @ Y3)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ (sK4 @ X1 @ X2) @ Y3)))) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (~ (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y1 @ Y1 @ Y4)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ X2 @ Y3)))))))))))))))) = $true)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f90])).
% 0.19/0.49 thf(f90,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : (($false = (mrel @ sK1 @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (~ (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y1 @ Y1 @ Y4)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ X2 @ Y3))))) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ (sK4 @ X1 @ X2) @ Y3)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ (sK4 @ X1 @ X2) @ Y3)))) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (~ (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y1 @ Y1 @ Y4)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (f @ Y1 @ X2 @ Y3)))))))))))))))) & (eiw_di @ (sK4 @ X1 @ X2) @ X1)))) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f89])).
% 0.19/0.49 thf(f89,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : ((((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (~ (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y2 @ Y2 @ Y5)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ X2 @ Y4))))) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ Y0 @ Y4)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ Y0 @ Y4)))) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (~ (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y2 @ Y2 @ Y5)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ X2 @ Y4)))))))))))))))) & (eiw_di @ Y0 @ X1))) @ (sK4 @ X1 @ X2)) = $true) | ($false = (mrel @ sK1 @ X1)) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.19/0.49 inference(sigma_clausification,[],[f88])).
% 0.19/0.49 thf(f88,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : (($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1)) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (~ (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y2 @ Y2 @ Y5)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ X2 @ Y4))))) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ Y0 @ Y4)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ Y0 @ Y4)))) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (~ (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y2 @ Y2 @ Y5)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ X2 @ Y4)))))))))))))))) & (eiw_di @ Y0 @ X1)))) = $true)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f87])).
% 0.19/0.49 thf(f87,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : ((((eiw_di @ X2 @ X1) => (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (~ (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y2 @ Y2 @ Y5)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ X2 @ Y4))))) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ Y0 @ Y4)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ Y0 @ Y4)))) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (~ (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y2 @ Y2 @ Y5)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (f @ Y2 @ X2 @ Y4)))))))))))))))) & (eiw_di @ Y0 @ X1))))) = $true) | ($false = (mrel @ sK1 @ X1))) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f86])).
% 0.19/0.49 thf(f86,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : (($false = (mrel @ sK1 @ X1)) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (~ (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y3 @ Y3 @ Y6)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y0 @ Y5))))) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y1 @ Y5)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y1 @ Y5)))) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (~ (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y3 @ Y3 @ Y6)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y0 @ Y5)))))))))))))))) & (eiw_di @ Y1 @ X1)))))) @ X2) = $true)) )),
% 0.19/0.49 inference(pi_clausification,[],[f85])).
% 0.19/0.49 thf(f85,plain,(
% 0.19/0.49 ( ! [X1 : mworld] : (($false = (mrel @ sK1 @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (~ (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y3 @ Y3 @ Y6)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y0 @ Y5))))) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y1 @ Y5)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y1 @ Y5)))) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (~ (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y3 @ Y3 @ Y6)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y0 @ Y5)))))))))))))))) & (eiw_di @ Y1 @ X1))))))) = $true)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f84])).
% 0.19/0.49 thf(f84,plain,(
% 0.19/0.49 ( ! [X1 : mworld] : (($true = ((mrel @ sK1 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (~ (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y3 @ Y3 @ Y6)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y0 @ Y5))))) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y1 @ Y5)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y1 @ Y5)))) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (~ (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y3 @ Y3 @ Y6)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (f @ Y3 @ Y0 @ Y5)))))))))))))))) & (eiw_di @ Y1 @ X1)))))))))) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f83])).
% 0.19/0.49 thf(f83,plain,(
% 0.19/0.49 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (~ (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y4 @ Y4 @ Y7)))))))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y1 @ Y6))))) => (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y2 @ Y6)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => ((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y2 @ Y6)))) => ((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (~ (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y4 @ Y4 @ Y7)))))))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y1 @ Y6)))))))))))))))) & (eiw_di @ Y2 @ Y0))))))))) @ X1) = $true)) )),
% 0.19/0.49 inference(pi_clausification,[],[f64])).
% 0.19/0.49 thf(f64,plain,(
% 0.19/0.49 ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (~ (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y4 @ Y4 @ Y7)))))))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y1 @ Y6))))) => (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y2 @ Y6)))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => ((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y2 @ Y6)))) => ((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (~ (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (f @ Y4 @ Y4 @ Y7)))))))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (f @ Y4 @ Y1 @ Y6)))))))))))))))) & (eiw_di @ Y2 @ Y0)))))))))))),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f61])).
% 0.19/0.49 thf(f185,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : $i] : (((f @ (sK4 @ X0 @ X1) @ (sK4 @ X0 @ X1) @ (sK6 @ (sK4 @ X0 @ X1) @ X2 @ (sK4 @ X0 @ X1))) = $false) | ((eiw_di @ (sK4 @ X0 @ X1) @ X3) = $false) | ((mrel @ X3 @ X2) = $false) | ((eiw_di @ X1 @ X0) = $false) | ($false = (mrel @ X2 @ X2))) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f184])).
% 0.19/0.49 thf(f184,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : $i] : (($false = (mrel @ X2 @ X2)) | ((eiw_di @ (sK4 @ X0 @ X1) @ X3) = $false) | ((f @ (sK4 @ X0 @ X1) @ (sK4 @ X0 @ X1) @ (sK6 @ (sK4 @ X0 @ X1) @ X2 @ (sK4 @ X0 @ X1))) = $false) | ((mrel @ X3 @ X2) = $false) | ((eiw_di @ X1 @ X0) = $false) | ($true = $false)) )),
% 0.19/0.49 inference(forward_demodulation,[],[f182,f57])).
% 0.19/0.49 thf(f182,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : $i] : (($false = (mrel @ X2 @ X2)) | ((f @ (sK4 @ X0 @ X1) @ (sK4 @ X0 @ X1) @ (sK6 @ (sK4 @ X0 @ X1) @ X2 @ (sK4 @ X0 @ X1))) = $false) | ((mrel @ X0 @ X3) = $false) | ((eiw_di @ (sK4 @ X0 @ X1) @ X3) = $false) | ((mrel @ X3 @ X2) = $false) | ((eiw_di @ X1 @ X0) = $false)) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f181])).
% 0.19/0.49 thf(f181,plain,(
% 0.19/0.49 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : $i] : (((eiw_di @ X1 @ X0) = $false) | ((mrel @ X3 @ X2) = $false) | ((eiw_di @ (sK4 @ X0 @ X1) @ X3) = $false) | ($false = (mrel @ X2 @ X2)) | ((mrel @ X0 @ X3) = $false) | ((f @ (sK4 @ X0 @ X1) @ (sK4 @ X0 @ X1) @ (sK6 @ (sK4 @ X0 @ X1) @ X2 @ (sK4 @ X0 @ X1))) = $false) | ($false != $false)) )),
% 0.19/0.49 inference(equality_factoring,[],[f179])).
% 0.19/0.49 thf(f179,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (($false = (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ X1 @ X3) = $false) | ($false = (f @ X4 @ X4 @ (sK6 @ X4 @ X6 @ X4))) | ((mrel @ X3 @ X5) = $false) | ($false = (mrel @ X5 @ X6)) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f178])).
% 0.19/0.49 thf(f178,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (($true = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ X5 @ X6)) | ($false = (f @ X4 @ X4 @ (sK6 @ X4 @ X6 @ X4))) | ($false = (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) | ((mrel @ X1 @ X3) = $false) | ((mrel @ X3 @ X5) = $false) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(forward_demodulation,[],[f152,f57])).
% 0.19/0.49 thf(f152,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((eiw_di @ X4 @ X3) = $false) | ((mrel @ X1 @ X3) = $false) | ($false = (mrel @ sK1 @ X1)) | ($false = (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) | ($false = (eiw_di @ X2 @ X1)) | ($false = (f @ X4 @ X4 @ (sK6 @ X4 @ X6 @ X4))) | ((mrel @ X3 @ X5) = $false) | ($false = (mrel @ X5 @ X6))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f151])).
% 0.19/0.49 thf(f151,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X3) = $false) | (((mrel @ X6 @ (sK6 @ X4 @ X6 @ X4)) => (f @ X4 @ X4 @ (sK6 @ X4 @ X6 @ X4))) = $false) | ($false = (mrel @ sK1 @ X1)) | ((eiw_di @ X4 @ X3) = $false) | ($false = (mrel @ X5 @ X6)) | ($false = (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ X3 @ X5) = $false)) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f150])).
% 0.19/0.49 thf(f150,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((eiw_di @ X4 @ X3) = $false) | ($false = ((^[Y0 : mworld]: ((mrel @ X6 @ Y0) => (f @ X4 @ X4 @ Y0))) @ (sK6 @ X4 @ X6 @ X4))) | ((mrel @ X3 @ X5) = $false) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ X1 @ X3) = $false) | ($false = (mrel @ X5 @ X6)) | ($false = (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) | ($false = (mrel @ sK1 @ X1))) )),
% 0.19/0.49 inference(sigma_clausification,[],[f149])).
% 0.19/0.49 thf(f149,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (($false = (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) | ((mrel @ X1 @ X3) = $false) | ((mrel @ X3 @ X5) = $false) | ($false = (mrel @ sK1 @ X1)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X6 @ Y0) => (f @ X4 @ X4 @ Y0)))) = $false) | ((eiw_di @ X4 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ X5 @ X6))) )),
% 0.19/0.49 inference(not_proxy_clausification,[],[f148])).
% 0.19/0.49 thf(f148,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (($false = (mrel @ sK1 @ X1)) | ($true = (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X6 @ Y0) => (f @ X4 @ X4 @ Y0)))))) | ((mrel @ X1 @ X3) = $false) | ($false = (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) | ($false = (mrel @ X5 @ X6)) | ((eiw_di @ X4 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ((mrel @ X3 @ X5) = $false)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f147])).
% 0.19/0.49 thf(f147,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X3 @ X5) = $false) | (((mrel @ X5 @ X6) => (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X6 @ Y0) => (f @ X4 @ X4 @ Y0)))))) = $true) | ((eiw_di @ X4 @ X3) = $false) | ((mrel @ X1 @ X3) = $false) | ($false = (mrel @ sK1 @ X1)) | ($false = (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f146])).
% 0.19/0.49 thf(f146,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) | ((eiw_di @ X4 @ X3) = $false) | ($false = (mrel @ sK1 @ X1)) | ($true = ((^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1))))))) @ X6)) | ((mrel @ X3 @ X5) = $false)) )),
% 0.19/0.49 inference(pi_clausification,[],[f144])).
% 0.19/0.49 thf(f144,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X3 @ X5) = $false) | ((mrel @ X1 @ X3) = $false) | ($false = (mrel @ sK1 @ X1)) | ($false = (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) = $true) | ($false = (eiw_di @ X2 @ X1)) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f135])).
% 0.19/0.49 thf(f135,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : ((((mrel @ X5 @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4)) => (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) = $false) | ((mrel @ X3 @ X5) = $false) | ((mrel @ X1 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ((eiw_di @ X4 @ X3) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) = $true) | ($false = (mrel @ sK1 @ X1))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f133])).
% 0.19/0.49 thf(f133,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X3) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0))))) = $true) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1)) | ((eiw_di @ X4 @ X3) = $false) | ((mrel @ X3 @ X5) = $false) | (((mrel @ X5 @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4)) => (f @ X4 @ (sK4 @ X1 @ X2) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4))) = $false)) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f132])).
% 0.19/0.49 thf(f132,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (($false = (eiw_di @ X2 @ X1)) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0))))) = $true) | ((mrel @ X3 @ X5) = $false) | ($false = (mrel @ sK1 @ X1)) | ((mrel @ X1 @ X3) = $false) | (((^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y0))) @ (sK6 @ (sK4 @ X1 @ X2) @ X5 @ X4)) = $false) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(sigma_clausification,[],[f131])).
% 0.19/0.49 thf(f131,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X3 @ X5) = $false) | ($false = (mrel @ sK1 @ X1)) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y0))))) | ((mrel @ X1 @ X3) = $false) | ((eiw_di @ X4 @ X3) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0))))) = $true) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f130])).
% 0.19/0.49 thf(f130,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X3 @ X5) = $false) | ($false = (mrel @ sK1 @ X1)) | ((eiw_di @ X4 @ X3) = $false) | ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y0)))) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0))))))) | ((mrel @ X1 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f129])).
% 0.19/0.49 thf(f129,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X3) = $false) | ($false = (mrel @ sK1 @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ($true = ((mrel @ X3 @ X5) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y0)))) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X4 @ Y1)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (f @ X4 @ X2 @ Y0)))))))) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(beta_eta_normalization,[],[f128])).
% 0.19/0.49 thf(f128,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (((eiw_di @ X4 @ X3) = $false) | ($true = ((^[Y0 : mworld]: ((mrel @ X3 @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y1)))) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ X4 @ X4 @ Y2)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X2 @ Y1)))))))) @ X5)) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1)) | ((mrel @ X1 @ X3) = $false)) )),
% 0.19/0.49 inference(pi_clausification,[],[f99])).
% 0.19/0.49 thf(f99,plain,(
% 0.19/0.49 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i] : (((mrel @ X1 @ X3) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1)) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X3 @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ (sK4 @ X1 @ X2) @ Y1)))) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (~ (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (f @ X4 @ X4 @ Y2)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (f @ X4 @ X2 @ Y1))))))))) = $true) | ((eiw_di @ X4 @ X3) = $false)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f98])).
% 0.19/0.49 thf(f171,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : (((eiw_di @ (sK4 @ X1 @ X2) @ X1) = $true) | ($false = (eiw_di @ X2 @ X1))) )),
% 0.19/0.49 inference(trivial_inequality_removal,[],[f170])).
% 0.19/0.49 thf(f170,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : (($true = $false) | ($false = (eiw_di @ X2 @ X1)) | ((eiw_di @ (sK4 @ X1 @ X2) @ X1) = $true)) )),
% 0.19/0.49 inference(forward_demodulation,[],[f91,f57])).
% 0.19/0.49 thf(f91,plain,(
% 0.19/0.49 ( ! [X2 : $i,X1 : mworld] : (($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ sK1 @ X1)) | ((eiw_di @ (sK4 @ X1 @ X2) @ X1) = $true)) )),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f90])).
% 0.19/0.49 thf(f72,plain,(
% 0.19/0.49 ((eiw_di @ sK3 @ sK2) = $true)),
% 0.19/0.49 inference(binary_proxy_clausification,[],[f71])).
% 0.19/0.49 % SZS output end Proof for theBenchmark
% 0.19/0.49 % (22631)------------------------------
% 0.19/0.49 % (22631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.49 % (22631)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (22631)Memory used [KB]: 6396
% 0.19/0.49 % (22631)Time elapsed: 0.063 s
% 0.19/0.49 % (22631)Instructions burned: 105 (million)
% 0.19/0.49 % (22631)------------------------------
% 0.19/0.49 % (22631)------------------------------
% 0.19/0.49 % (22603)Success in time 0.131 s
% 0.19/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------