TSTP Solution File: SWV444^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV444^1 : TPTP v8.1.2. Released v3.7.0.
% 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:34:38 EDT 2024
% Result : Theorem 1.44s 0.55s
% Output : Refutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWV444^1 : TPTP v8.1.2. Released v3.7.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 21:05:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773
% 0.14/0.38 % (5881)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.38 % (5883)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.14/0.38 % (5882)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.14/0.38 % (5885)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (5884)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (5886)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.38 % (5887)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.38 % (5888)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.38 % (5884)Instruction limit reached!
% 0.14/0.38 % (5884)------------------------------
% 0.14/0.38 % (5884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5884)Termination reason: Unknown
% 0.14/0.38 % (5885)Instruction limit reached!
% 0.14/0.38 % (5885)------------------------------
% 0.14/0.38 % (5885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5885)Termination reason: Unknown
% 0.14/0.38 % (5885)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (5885)Memory used [KB]: 1023
% 0.14/0.38 % (5885)Time elapsed: 0.003 s
% 0.14/0.38 % (5885)Instructions burned: 2 (million)
% 0.14/0.38 % (5885)------------------------------
% 0.14/0.38 % (5885)------------------------------
% 0.14/0.38 % (5884)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (5884)Memory used [KB]: 1023
% 0.14/0.38 % (5884)Time elapsed: 0.003 s
% 0.14/0.38 % (5884)Instructions burned: 2 (million)
% 0.14/0.38 % (5884)------------------------------
% 0.14/0.38 % (5884)------------------------------
% 0.14/0.38 % (5888)Instruction limit reached!
% 0.14/0.38 % (5888)------------------------------
% 0.14/0.38 % (5888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5888)Termination reason: Unknown
% 0.14/0.38 % (5888)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (5888)Memory used [KB]: 1023
% 0.14/0.38 % (5888)Time elapsed: 0.004 s
% 0.14/0.38 % (5888)Instructions burned: 3 (million)
% 0.14/0.38 % (5888)------------------------------
% 0.14/0.38 % (5888)------------------------------
% 0.14/0.38 % (5882)Instruction limit reached!
% 0.14/0.38 % (5882)------------------------------
% 0.14/0.38 % (5882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5882)Termination reason: Unknown
% 0.14/0.38 % (5882)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (5882)Memory used [KB]: 1023
% 0.14/0.38 % (5882)Time elapsed: 0.005 s
% 0.14/0.38 % (5882)Instructions burned: 5 (million)
% 0.14/0.38 % (5882)------------------------------
% 0.14/0.38 % (5882)------------------------------
% 0.14/0.39 % (5886)Refutation not found, incomplete strategy
% 0.14/0.39 % (5886)------------------------------
% 0.14/0.39 % (5886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (5886)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (5886)Memory used [KB]: 5628
% 0.14/0.39 % (5886)Time elapsed: 0.007 s
% 0.14/0.39 % (5886)Instructions burned: 6 (million)
% 0.14/0.39 % (5886)------------------------------
% 0.14/0.39 % (5886)------------------------------
% 0.14/0.39 % (5887)Instruction limit reached!
% 0.14/0.39 % (5887)------------------------------
% 0.14/0.39 % (5887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (5887)Termination reason: Unknown
% 0.14/0.39 % (5887)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (5887)Memory used [KB]: 5628
% 0.14/0.39 % (5887)Time elapsed: 0.012 s
% 0.14/0.39 % (5887)Instructions burned: 19 (million)
% 0.14/0.39 % (5887)------------------------------
% 0.14/0.39 % (5887)------------------------------
% 0.21/0.40 % (5883)Instruction limit reached!
% 0.21/0.40 % (5883)------------------------------
% 0.21/0.40 % (5883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (5883)Termination reason: Unknown
% 0.21/0.40 % (5883)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (5883)Memory used [KB]: 5756
% 0.21/0.40 % (5883)Time elapsed: 0.017 s
% 0.21/0.40 % (5883)Instructions burned: 27 (million)
% 0.21/0.40 % (5883)------------------------------
% 0.21/0.40 % (5883)------------------------------
% 0.21/0.40 % (5889)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.21/0.40 % (5890)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.21/0.40 % (5891)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.40 % (5892)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.21/0.40 % (5891)Instruction limit reached!
% 0.21/0.40 % (5891)------------------------------
% 0.21/0.40 % (5891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (5891)Termination reason: Unknown
% 0.21/0.40 % (5891)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (5891)Memory used [KB]: 1023
% 0.21/0.40 % (5891)Time elapsed: 0.004 s
% 0.21/0.40 % (5891)Instructions burned: 4 (million)
% 0.21/0.40 % (5891)------------------------------
% 0.21/0.40 % (5891)------------------------------
% 0.21/0.40 % (5893)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.40 % (5890)Instruction limit reached!
% 0.21/0.40 % (5890)------------------------------
% 0.21/0.40 % (5890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (5890)Termination reason: Unknown
% 0.21/0.40 % (5890)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (5890)Memory used [KB]: 5628
% 0.21/0.40 % (5890)Time elapsed: 0.010 s
% 0.21/0.40 % (5890)Instructions burned: 16 (million)
% 0.21/0.40 % (5890)------------------------------
% 0.21/0.40 % (5890)------------------------------
% 0.21/0.41 % (5893)Instruction limit reached!
% 0.21/0.41 % (5893)------------------------------
% 0.21/0.41 % (5893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (5893)Termination reason: Unknown
% 0.21/0.41 % (5893)Termination phase: Function definition elimination
% 0.21/0.41
% 0.21/0.41 % (5893)Memory used [KB]: 1023
% 0.21/0.41 % (5893)Time elapsed: 0.006 s
% 0.21/0.41 % (5893)Instructions burned: 8 (million)
% 0.21/0.41 % (5893)------------------------------
% 0.21/0.41 % (5893)------------------------------
% 0.21/0.41 % (5894)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.21/0.41 % (5895)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.41 % (5895)Instruction limit reached!
% 0.21/0.41 % (5895)------------------------------
% 0.21/0.41 % (5895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (5895)Termination reason: Unknown
% 0.21/0.41 % (5895)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (5895)Memory used [KB]: 1023
% 0.21/0.41 % (5895)Time elapsed: 0.004 s
% 0.21/0.41 % (5895)Instructions burned: 4 (million)
% 0.21/0.41 % (5895)------------------------------
% 0.21/0.41 % (5895)------------------------------
% 0.21/0.41 % (5896)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.41 % (5894)Instruction limit reached!
% 0.21/0.41 % (5894)------------------------------
% 0.21/0.41 % (5894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (5894)Termination reason: Unknown
% 0.21/0.41 % (5894)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (5894)Memory used [KB]: 5628
% 0.21/0.41 % (5894)Time elapsed: 0.011 s
% 0.21/0.41 % (5894)Instructions burned: 17 (million)
% 0.21/0.42 % (5894)------------------------------
% 0.21/0.42 % (5894)------------------------------
% 0.21/0.42 % (5896)Instruction limit reached!
% 0.21/0.42 % (5896)------------------------------
% 0.21/0.42 % (5896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (5896)Termination reason: Unknown
% 0.21/0.42 % (5896)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (5889)Instruction limit reached!
% 0.21/0.42 % (5889)------------------------------
% 0.21/0.42 % (5889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (5896)Memory used [KB]: 1023
% 0.21/0.42 % (5896)Time elapsed: 0.004 s
% 0.21/0.42 % (5896)Instructions burned: 4 (million)
% 0.21/0.42 % (5896)------------------------------
% 0.21/0.42 % (5896)------------------------------
% 0.21/0.42 % (5889)Termination reason: Unknown
% 0.21/0.42 % (5889)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (5889)Memory used [KB]: 5884
% 0.21/0.42 % (5889)Time elapsed: 0.022 s
% 0.21/0.42 % (5889)Instructions burned: 37 (million)
% 0.21/0.42 % (5889)------------------------------
% 0.21/0.42 % (5889)------------------------------
% 0.21/0.42 % (5897)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.42 % (5898)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.42 % (5898)Instruction limit reached!
% 0.21/0.42 % (5898)------------------------------
% 0.21/0.42 % (5898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (5898)Termination reason: Unknown
% 0.21/0.42 % (5898)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (5898)Memory used [KB]: 1023
% 0.21/0.42 % (5898)Time elapsed: 0.004 s
% 0.21/0.42 % (5898)Instructions burned: 4 (million)
% 0.21/0.42 % (5898)------------------------------
% 0.21/0.42 % (5898)------------------------------
% 0.21/0.42 % (5897)Instruction limit reached!
% 0.21/0.42 % (5897)------------------------------
% 0.21/0.42 % (5897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (5897)Termination reason: Unknown
% 0.21/0.42 % (5897)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (5897)Memory used [KB]: 1023
% 0.21/0.42 % (5897)Time elapsed: 0.006 s
% 0.21/0.42 % (5897)Instructions burned: 8 (million)
% 0.21/0.42 % (5897)------------------------------
% 0.21/0.42 % (5897)------------------------------
% 0.21/0.43 % (5899)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.43 % (5899)Instruction limit reached!
% 0.21/0.43 % (5899)------------------------------
% 0.21/0.43 % (5899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (5899)Termination reason: Unknown
% 0.21/0.43 % (5899)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (5899)Memory used [KB]: 1023
% 0.21/0.43 % (5899)Time elapsed: 0.004 s
% 0.21/0.43 % (5899)Instructions burned: 4 (million)
% 0.21/0.43 % (5899)------------------------------
% 0.21/0.43 % (5899)------------------------------
% 0.21/0.43 % (5900)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.43 % (5901)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.21/0.43 % (5902)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.43 % (5902)Instruction limit reached!
% 0.21/0.43 % (5902)------------------------------
% 0.21/0.43 % (5902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (5902)Termination reason: Unknown
% 0.21/0.43 % (5902)Termination phase: Function definition elimination
% 0.21/0.43
% 0.21/0.43 % (5902)Memory used [KB]: 1023
% 0.21/0.43 % (5902)Time elapsed: 0.005 s
% 0.21/0.43 % (5902)Instructions burned: 6 (million)
% 0.21/0.43 % (5902)------------------------------
% 0.21/0.43 % (5902)------------------------------
% 0.21/0.44 % (5901)Refutation not found, incomplete strategy
% 0.21/0.44 % (5901)------------------------------
% 0.21/0.44 % (5901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (5901)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (5901)Memory used [KB]: 5500
% 0.21/0.44 % (5901)Time elapsed: 0.006 s
% 0.21/0.44 % (5901)Instructions burned: 7 (million)
% 0.21/0.44 % (5901)------------------------------
% 0.21/0.44 % (5901)------------------------------
% 0.21/0.44 % (5903)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.21/0.44 % (5904)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.21/0.44 % (5900)Instruction limit reached!
% 0.21/0.44 % (5900)------------------------------
% 0.21/0.44 % (5900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (5903)Refutation not found, incomplete strategy
% 0.21/0.44 % (5903)------------------------------
% 0.21/0.44 % (5903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (5900)Termination reason: Unknown
% 0.21/0.44 % (5900)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (5900)Memory used [KB]: 5628
% 0.21/0.44 % (5900)Time elapsed: 0.039 s
% 0.21/0.44 % (5900)Instructions burned: 19 (million)
% 0.21/0.44 % (5900)------------------------------
% 0.21/0.44 % (5900)------------------------------
% 0.21/0.44 % (5903)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (5903)Memory used [KB]: 5628
% 0.21/0.44 % (5903)Time elapsed: 0.006 s
% 0.21/0.44 % (5903)Instructions burned: 8 (million)
% 0.21/0.44 % (5903)------------------------------
% 0.21/0.44 % (5903)------------------------------
% 0.21/0.44 % (5881)Instruction limit reached!
% 0.21/0.44 % (5881)------------------------------
% 0.21/0.44 % (5881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (5881)Termination reason: Unknown
% 0.21/0.44 % (5881)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (5881)Memory used [KB]: 6652
% 0.21/0.44 % (5881)Time elapsed: 0.068 s
% 0.21/0.44 % (5881)Instructions burned: 183 (million)
% 0.21/0.44 % (5881)------------------------------
% 0.21/0.44 % (5881)------------------------------
% 0.21/0.44 % (5905)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.21/0.45 % (5905)Instruction limit reached!
% 0.21/0.45 % (5905)------------------------------
% 0.21/0.45 % (5905)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (5905)Termination reason: Unknown
% 0.21/0.45 % (5905)Termination phase: Function definition elimination
% 0.21/0.45
% 0.21/0.45 % (5905)Memory used [KB]: 1023
% 0.21/0.45 % (5905)Time elapsed: 0.005 s
% 0.21/0.45 % (5905)Instructions burned: 6 (million)
% 0.21/0.45 % (5905)------------------------------
% 0.21/0.45 % (5905)------------------------------
% 0.21/0.45 % (5906)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 Vampire---4 for (2999ds/6Mi)
% 0.21/0.45 % (5904)Instruction limit reached!
% 0.21/0.45 % (5904)------------------------------
% 0.21/0.45 % (5904)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (5904)Termination reason: Unknown
% 0.21/0.45 % (5904)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (5904)Memory used [KB]: 5756
% 0.21/0.45 % (5904)Time elapsed: 0.014 s
% 0.21/0.45 % (5904)Instructions burned: 22 (million)
% 0.21/0.45 % (5904)------------------------------
% 0.21/0.45 % (5904)------------------------------
% 0.21/0.45 % (5907)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.21/0.45 % (5906)Instruction limit reached!
% 0.21/0.45 % (5906)------------------------------
% 0.21/0.45 % (5906)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (5906)Termination reason: Unknown
% 0.21/0.45 % (5906)Termination phase: Property scanning
% 0.21/0.45
% 0.21/0.45 % (5906)Memory used [KB]: 1023
% 0.21/0.45 % (5906)Time elapsed: 0.005 s
% 0.21/0.45 % (5906)Instructions burned: 6 (million)
% 0.21/0.45 % (5906)------------------------------
% 0.21/0.45 % (5906)------------------------------
% 0.21/0.45 % (5910)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.21/0.46 % (5908)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 Vampire---4 for (2999ds/779Mi)
% 0.21/0.46 % (5909)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 Vampire---4 for (2999ds/19Mi)
% 0.21/0.46 % (5911)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.21/0.46 % (5909)Refutation not found, incomplete strategy
% 0.21/0.46 % (5909)------------------------------
% 0.21/0.46 % (5909)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (5909)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % (5909)Memory used [KB]: 5628
% 0.21/0.46 % (5909)Time elapsed: 0.008 s
% 0.21/0.46 % (5909)Instructions burned: 11 (million)
% 0.21/0.46 % (5909)------------------------------
% 0.21/0.46 % (5909)------------------------------
% 0.21/0.46 % (5912)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.47 % (5912)Instruction limit reached!
% 0.21/0.47 % (5912)------------------------------
% 0.21/0.47 % (5912)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (5913)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.21/0.47 % (5912)Termination reason: Unknown
% 0.21/0.47 % (5912)Termination phase: Property scanning
% 0.21/0.47
% 0.21/0.47 % (5912)Memory used [KB]: 1023
% 0.21/0.47 % (5912)Time elapsed: 0.004 s
% 0.21/0.47 % (5912)Instructions burned: 4 (million)
% 0.21/0.47 % (5912)------------------------------
% 0.21/0.47 % (5912)------------------------------
% 0.21/0.47 % (5911)Instruction limit reached!
% 0.21/0.47 % (5911)------------------------------
% 0.21/0.47 % (5911)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (5911)Termination reason: Unknown
% 0.21/0.47 % (5911)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (5911)Memory used [KB]: 5628
% 0.21/0.47 % (5911)Time elapsed: 0.010 s
% 0.21/0.47 % (5911)Instructions burned: 17 (million)
% 0.21/0.47 % (5911)------------------------------
% 0.21/0.47 % (5911)------------------------------
% 0.21/0.48 % (5914)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2999ds/127Mi)
% 0.21/0.48 % (5915)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2999ds/100Mi)
% 0.21/0.48 % (5913)Instruction limit reached!
% 0.21/0.48 % (5913)------------------------------
% 0.21/0.48 % (5913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (5913)Termination reason: Unknown
% 0.21/0.48 % (5913)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (5916)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 Vampire---4 for (2998ds/3Mi)
% 0.21/0.48 % (5913)Memory used [KB]: 5756
% 0.21/0.48 % (5913)Time elapsed: 0.019 s
% 0.21/0.48 % (5913)Instructions burned: 30 (million)
% 0.21/0.48 % (5913)------------------------------
% 0.21/0.48 % (5913)------------------------------
% 0.21/0.49 % (5916)Instruction limit reached!
% 0.21/0.49 % (5916)------------------------------
% 0.21/0.49 % (5916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (5916)Termination reason: Unknown
% 0.21/0.49 % (5916)Termination phase: Property scanning
% 0.21/0.49
% 0.21/0.49 % (5916)Memory used [KB]: 1023
% 0.21/0.49 % (5916)Time elapsed: 0.003 s
% 0.21/0.49 % (5916)Instructions burned: 3 (million)
% 0.21/0.49 % (5916)------------------------------
% 0.21/0.49 % (5916)------------------------------
% 0.21/0.50 % (5918)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2998ds/86Mi)
% 0.21/0.50 % (5917)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 Vampire---4 for (2998ds/20Mi)
% 0.21/0.50 % (5917)Refutation not found, incomplete strategy
% 0.21/0.50 % (5917)------------------------------
% 0.21/0.50 % (5917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (5917)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 % (5917)Memory used [KB]: 5628
% 0.21/0.50 % (5917)Time elapsed: 0.007 s
% 0.21/0.50 % (5917)Instructions burned: 12 (million)
% 0.21/0.50 % (5917)------------------------------
% 0.21/0.50 % (5917)------------------------------
% 0.21/0.51 % (5919)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2998ds/107Mi)
% 1.25/0.52 % (5915)Instruction limit reached!
% 1.25/0.52 % (5915)------------------------------
% 1.25/0.52 % (5915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.25/0.52 % (5915)Termination reason: Unknown
% 1.25/0.52 % (5915)Termination phase: Saturation
% 1.25/0.52
% 1.25/0.52 % (5915)Memory used [KB]: 6012
% 1.25/0.52 % (5915)Time elapsed: 0.039 s
% 1.25/0.52 % (5915)Instructions burned: 101 (million)
% 1.25/0.52 % (5915)------------------------------
% 1.25/0.52 % (5915)------------------------------
% 1.25/0.52 % (5919)Refutation not found, incomplete strategy
% 1.25/0.52 % (5919)------------------------------
% 1.25/0.52 % (5919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.25/0.52 % (5919)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.52
% 1.25/0.52
% 1.25/0.52 % (5919)Memory used [KB]: 5628
% 1.25/0.52 % (5919)Time elapsed: 0.008 s
% 1.25/0.52 % (5919)Instructions burned: 19 (million)
% 1.25/0.52 % (5919)------------------------------
% 1.25/0.52 % (5919)------------------------------
% 1.25/0.53 % (5914)Instruction limit reached!
% 1.25/0.53 % (5914)------------------------------
% 1.25/0.53 % (5914)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.25/0.53 % (5920)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 1.25/0.53 % (5914)Termination reason: Unknown
% 1.25/0.53 % (5914)Termination phase: Saturation
% 1.25/0.53
% 1.25/0.53 % (5914)Memory used [KB]: 6012
% 1.25/0.53 % (5914)Time elapsed: 0.051 s
% 1.25/0.53 % (5914)Instructions burned: 129 (million)
% 1.25/0.53 % (5914)------------------------------
% 1.25/0.53 % (5914)------------------------------
% 1.25/0.53 % (5918)Instruction limit reached!
% 1.25/0.53 % (5918)------------------------------
% 1.25/0.53 % (5918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.25/0.53 % (5918)Termination reason: Unknown
% 1.25/0.53 % (5918)Termination phase: Saturation
% 1.25/0.53
% 1.25/0.53 % (5918)Memory used [KB]: 6140
% 1.25/0.53 % (5918)Time elapsed: 0.032 s
% 1.25/0.53 % (5918)Instructions burned: 86 (million)
% 1.25/0.53 % (5918)------------------------------
% 1.25/0.53 % (5918)------------------------------
% 1.25/0.53 % (5921)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (2998ds/448Mi)
% 1.25/0.53 % (5922)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on Vampire---4 for (2998ds/46Mi)
% 1.44/0.54 % (5923)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (2998ds/98Mi)
% 1.44/0.54 % (5920)Instruction limit reached!
% 1.44/0.54 % (5920)------------------------------
% 1.44/0.54 % (5920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.54 % (5920)Termination reason: Unknown
% 1.44/0.54 % (5920)Termination phase: Saturation
% 1.44/0.54
% 1.44/0.54 % (5920)Memory used [KB]: 5884
% 1.44/0.54 % (5920)Time elapsed: 0.013 s
% 1.44/0.54 % (5920)Instructions burned: 39 (million)
% 1.44/0.54 % (5920)------------------------------
% 1.44/0.54 % (5920)------------------------------
% 1.44/0.55 % (5924)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on Vampire---4 for (2998ds/507Mi)
% 1.44/0.55 % (5892)First to succeed.
% 1.44/0.55 % (5924)Refutation not found, incomplete strategy
% 1.44/0.55 % (5924)------------------------------
% 1.44/0.55 % (5924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.55 % (5924)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.55
% 1.44/0.55
% 1.44/0.55 % (5924)Memory used [KB]: 5628
% 1.44/0.55 % (5924)Time elapsed: 0.006 s
% 1.44/0.55 % (5924)Instructions burned: 17 (million)
% 1.44/0.55 % (5924)------------------------------
% 1.44/0.55 % (5924)------------------------------
% 1.44/0.55 % (5892)Refutation found. Thanks to Tanya!
% 1.44/0.55 % SZS status Theorem for Vampire---4
% 1.44/0.55 % SZS output start Proof for Vampire---4
% 1.44/0.55 thf(type_def_6, type, individuals: $tType).
% 1.44/0.55 thf(func_def_1, type, prop_a: $i > $o).
% 1.44/0.55 thf(func_def_2, type, prop_b: $i > $o).
% 1.44/0.55 thf(func_def_3, type, prop_c: $i > $o).
% 1.44/0.55 thf(func_def_4, type, mfalse: $i > $o).
% 1.44/0.55 thf(func_def_5, type, mtrue: $i > $o).
% 1.44/0.55 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_14, type, individuals: $tType).
% 1.44/0.55 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 1.44/0.55 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 1.44/0.55 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 1.44/0.55 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 1.44/0.55 thf(func_def_21, type, reli: $i > $i > $o).
% 1.44/0.55 thf(func_def_22, type, relr: $i > $i > $o).
% 1.44/0.55 thf(func_def_23, type, cs4_atom: ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_24, type, cs4_and: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_25, type, cs4_or: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_26, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_27, type, cs4_true: $i > $o).
% 1.44/0.55 thf(func_def_28, type, cs4_false: $i > $o).
% 1.44/0.55 thf(func_def_29, type, cs4_all: (individuals > $i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_30, type, cs4_box: ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_31, type, cs4_valid: ($i > $o) > $o).
% 1.44/0.55 thf(func_def_32, type, princ_inj: individuals > $i > $o).
% 1.44/0.55 thf(func_def_33, type, bl_atom: ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_34, type, bl_princ: ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_35, type, bl_and: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_36, type, bl_or: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_37, type, bl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_38, type, bl_all: (individuals > $i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_39, type, bl_true: $i > $o).
% 1.44/0.55 thf(func_def_40, type, bl_false: $i > $o).
% 1.44/0.55 thf(func_def_41, type, bl_says: individuals > ($i > $o) > $i > $o).
% 1.44/0.55 thf(func_def_42, type, bl_valid: ($i > $o) > $o).
% 1.44/0.55 thf(func_def_43, type, loca: individuals).
% 1.44/0.55 thf(func_def_63, type, ph1: !>[X0: $tType]:(X0)).
% 1.44/0.55 thf(func_def_64, type, sK2: $i > $i).
% 1.44/0.55 thf(func_def_65, type, sK3: $i > $i).
% 1.44/0.55 thf(func_def_66, type, sK4: $i > $o).
% 1.44/0.55 thf(func_def_67, type, sK5: individuals).
% 1.44/0.55 thf(func_def_76, type, sK14: individuals > $i).
% 1.44/0.55 thf(func_def_77, type, sK15: individuals > $i).
% 1.44/0.55 thf(f1872,plain,(
% 1.44/0.55 $false),
% 1.44/0.55 inference(trivial_inequality_removal,[],[f1871])).
% 1.44/0.55 thf(f1871,plain,(
% 1.44/0.55 ($false = $true)),
% 1.44/0.55 inference(forward_demodulation,[],[f1870,f1766])).
% 1.44/0.55 thf(f1766,plain,(
% 1.44/0.55 ($false = (princ_inj @ loca @ sK18))),
% 1.44/0.55 inference(boolean_simplification,[],[f1765])).
% 1.44/0.55 thf(f1765,plain,(
% 1.44/0.55 (($true => (princ_inj @ loca @ sK18)) = $false)),
% 1.44/0.55 inference(backward_demodulation,[],[f1756,f1764])).
% 1.44/0.55 thf(f1764,plain,(
% 1.44/0.55 ($true = (reli @ sK10 @ sK18))),
% 1.44/0.55 inference(binary_proxy_clausification,[],[f1756])).
% 1.44/0.55 thf(f1756,plain,(
% 1.44/0.55 ($false = ((reli @ sK10 @ sK18) => (princ_inj @ loca @ sK18)))),
% 1.44/0.55 inference(beta_eta_normalization,[],[f1738])).
% 1.44/0.55 thf(f1738,plain,(
% 1.44/0.55 ($false = ((^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ loca @ Y0))) @ sK18))),
% 1.44/0.55 inference(sigma_clausification,[],[f1712])).
% 1.44/0.55 thf(f1712,plain,(
% 1.44/0.55 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ loca @ Y0)))) = $false)),
% 1.44/0.55 inference(not_proxy_clausification,[],[f1249])).
% 1.44/0.55 thf(f1249,plain,(
% 1.44/0.55 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ loca @ Y0))))))),
% 1.44/0.55 inference(boolean_simplification,[],[f1248])).
% 1.44/0.55 thf(f1248,plain,(
% 1.44/0.55 (($true => (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ loca @ Y0)))))) = $true)),
% 1.44/0.55 inference(forward_demodulation,[],[f1245,f416])).
% 1.44/0.55 thf(f416,plain,(
% 1.44/0.55 ((reli @ sK9 @ sK10) = $true)),
% 1.44/0.55 inference(binary_proxy_clausification,[],[f391])).
% 1.44/0.55 thf(f391,plain,(
% 1.44/0.55 ($false = ((reli @ sK9 @ sK10) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK5 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK4 @ Y0)))))))),
% 1.44/0.55 inference(beta_eta_normalization,[],[f390])).
% 1.44/0.55 thf(f390,plain,(
% 1.44/0.55 ($false = ((^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK5 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK4 @ Y1))))))) @ sK10))),
% 1.44/0.55 inference(sigma_clausification,[],[f380])).
% 1.44/0.55 thf(f380,plain,(
% 1.44/0.55 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK5 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK4 @ Y1)))))))) = $false)),
% 1.44/0.55 inference(binary_proxy_clausification,[],[f370])).
% 1.44/0.55 thf(f370,plain,(
% 1.44/0.55 (((relr @ sK8 @ sK9) => (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ sK5 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK4 @ Y1))))))))) = $false)),
% 1.44/0.55 inference(beta_eta_normalization,[],[f369])).
% 1.44/0.55 thf(f369,plain,(
% 1.44/0.55 ($false = ((^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK5 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK4 @ Y2)))))))))) @ sK9))),
% 1.44/0.55 inference(sigma_clausification,[],[f358])).
% 1.44/0.55 thf(f358,plain,(
% 1.44/0.55 ($false = (!! @ $i @ (^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK5 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK4 @ Y2))))))))))))),
% 1.44/0.55 inference(boolean_simplification,[],[f357])).
% 1.44/0.55 thf(f357,plain,(
% 1.44/0.55 ($false = ($true => (!! @ $i @ (^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK5 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK4 @ Y2)))))))))))))),
% 1.44/0.55 inference(backward_demodulation,[],[f340,f356])).
% 1.44/0.55 thf(f356,plain,(
% 1.44/0.55 ((reli @ sK7 @ sK8) = $true)),
% 1.44/0.55 inference(binary_proxy_clausification,[],[f340])).
% 1.44/0.55 thf(f340,plain,(
% 1.44/0.55 ($false = ((reli @ sK7 @ sK8) => (!! @ $i @ (^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ sK5 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK4 @ Y2)))))))))))))),
% 1.44/0.55 inference(beta_eta_normalization,[],[f339])).
% 1.44/0.55 thf(f339,plain,(
% 1.44/0.55 (((^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK5 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3))))))))))))) @ sK8) = $false)),
% 1.44/0.55 inference(sigma_clausification,[],[f310])).
% 1.44/0.55 thf(f310,plain,(
% 1.44/0.55 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK5 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3)))))))))))))))),
% 1.44/0.55 inference(binary_proxy_clausification,[],[f309])).
% 1.44/0.55 thf(f309,plain,(
% 1.44/0.55 (((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ loca @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3))))))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK5 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3))))))))))))))) = $false)),
% 1.44/0.55 inference(boolean_simplification,[],[f308])).
% 1.44/0.55 thf(f308,plain,(
% 1.44/0.55 ($false = ($true => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ loca @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3))))))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK5 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3)))))))))))))))))),
% 1.44/0.55 inference(backward_demodulation,[],[f305,f307])).
% 1.44/0.55 thf(f307,plain,(
% 1.44/0.55 ($true = (reli @ sK6 @ sK7))),
% 1.44/0.55 inference(binary_proxy_clausification,[],[f305])).
% 1.44/0.55 thf(f305,plain,(
% 1.44/0.55 ($false = ((reli @ sK6 @ sK7) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ loca @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3))))))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ sK5 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3)))))))))))))))))),
% 1.44/0.55 inference(beta_eta_normalization,[],[f304])).
% 1.44/0.55 thf(f304,plain,(
% 1.44/0.55 (((^[Y0 : $i]: ((reli @ sK6 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ loca @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK4 @ Y4))))))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK5 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK4 @ Y4))))))))))))))))) @ sK7) = $false)),
% 1.44/0.55 inference(sigma_clausification,[],[f303])).
% 1.44/0.55 thf(f303,plain,(
% 1.44/0.55 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ loca @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK4 @ Y4))))))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (princ_inj @ sK5 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK4 @ Y4)))))))))))))))))))),
% 1.44/0.55 inference(beta_eta_normalization,[],[f302])).
% 1.44/0.55 thf(f302,plain,(
% 1.44/0.55 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ loca @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK4 @ Y5))))))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK5 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK4 @ Y5))))))))))))))))))) @ sK6))),
% 1.44/0.55 inference(sigma_clausification,[],[f301])).
% 1.44/0.55 thf(f301,plain,(
% 1.44/0.55 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ loca @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK4 @ Y5))))))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK5 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK4 @ Y5)))))))))))))))))))))),
% 1.44/0.55 inference(beta_eta_normalization,[],[f300])).
% 1.44/0.55 thf(f300,plain,(
% 1.44/0.55 ($false = ((^[Y0 : individuals]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ loca @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK4 @ Y6))))))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ Y0 @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK4 @ Y6))))))))))))))))))))) @ sK5))),
% 1.44/0.55 inference(sigma_clausification,[],[f299])).
% 1.44/0.55 thf(f299,plain,(
% 1.44/0.55 ($false = (!! @ individuals @ (^[Y0 : individuals]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ loca @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK4 @ Y6))))))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => ((~ (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (princ_inj @ Y0 @ Y6))))) | (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => (sK4 @ Y6)))))))))))))))))))))))),
% 1.44/0.55 inference(beta_eta_normalization,[],[f298])).
% 1.44/0.55 thf(f298,plain,(
% 1.44/0.55 ($false = ((^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ loca @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y0 @ Y7))))))))))))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y1 @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y0 @ Y7))))))))))))))))))))))) @ sK4))),
% 1.44/0.55 inference(sigma_clausification,[],[f295])).
% 1.44/0.55 thf(f295,plain,(
% 1.44/0.55 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ loca @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y0 @ Y7))))))))))))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y1 @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y0 @ Y7)))))))))))))))))))))))))),
% 1.44/0.55 inference(not_proxy_clausification,[],[f189])).
% 1.44/0.55 thf(f189,plain,(
% 1.44/0.55 ($true = (~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ loca @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y0 @ Y7))))))))))))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((relr @ Y4 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((reli @ Y5 @ Y6) => ((~ (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (princ_inj @ Y1 @ Y7))))) | (!! @ $i @ (^[Y7 : $i]: ((reli @ Y6 @ Y7) => (Y0 @ Y7))))))))))))))))))))))))))),
% 1.44/0.55 inference(beta_eta_normalization,[],[f180])).
% 1.44/0.55 thf(f180,plain,(
% 1.44/0.55 ($true = (~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (Y2 @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((Y8 @ Y10) | (Y9 @ Y10))))))) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (~ (Y8 @ Y9))))) @ Y6) @ Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3)))) @ ((^[Y2 : individuals]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ reli @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ relr @ Y4))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((Y8 @ Y10) | (Y9 @ Y10))))))) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (~ (Y8 @ Y9))))) @ Y6) @ Y7)))) @ Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ Y5)) @ Y4)) @ (princ_inj @ Y2)) @ Y3))))) @ loca @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ Y0)) @ ((^[Y2 : individuals]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ reli @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y8))))))))) @ relr @ Y4))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((Y8 @ Y10) | (Y9 @ Y10))))))) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i]: (~ (Y8 @ Y9))))) @ Y6) @ Y7)))) @ Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((Y6 @ Y8 @ Y9) => (Y7 @ Y9))))))))) @ reli @ Y5)) @ Y4)) @ (princ_inj @ Y2)) @ Y3))))) @ Y1 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ Y0))))))))))),
% 1.44/0.55 inference(definition_unfolding,[],[f122,f178,f175,f177,f171,f177,f171])).
% 1.44/0.55 thf(f171,plain,(
% 1.44/0.55 (bl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)))),
% 1.44/0.55 inference(definition_unfolding,[],[f136,f162])).
% 1.44/0.55 thf(f162,plain,(
% 1.44/0.55 (cs4_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)))),
% 1.44/0.55 inference(definition_unfolding,[],[f146,f155])).
% 1.44/0.55 thf(f155,plain,(
% 1.44/0.55 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 1.44/0.55 inference(cnf_transformation,[],[f98])).
% 1.44/0.55 thf(f98,plain,(
% 1.44/0.55 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 1.44/0.55 inference(fool_elimination,[],[f97])).
% 1.44/0.55 thf(f97,plain,(
% 1.44/0.55 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 1.44/0.55 inference(rectify,[],[f8])).
% 1.44/0.55 thf(f8,axiom,(
% 1.44/0.55 ((^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))) = mbox)),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',mbox)).
% 1.44/0.55 thf(f146,plain,(
% 1.44/0.55 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 1.44/0.55 inference(cnf_transformation,[],[f108])).
% 1.44/0.55 thf(f108,plain,(
% 1.44/0.55 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 1.44/0.55 inference(fool_elimination,[],[f107])).
% 1.44/0.55 thf(f107,plain,(
% 1.44/0.55 ((^[X0 : $i > $o] : (mbox @ reli @ X0)) = cs4_atom)),
% 1.44/0.55 inference(rectify,[],[f16])).
% 1.44/0.55 thf(f16,axiom,(
% 1.44/0.55 ((^[X5 : $i > $o] : (mbox @ reli @ X5)) = cs4_atom)),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',cs4_atom)).
% 1.44/0.55 thf(f136,plain,(
% 1.44/0.55 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 1.44/0.55 inference(cnf_transformation,[],[f68])).
% 1.44/0.55 thf(f68,plain,(
% 1.44/0.55 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 1.44/0.55 inference(fool_elimination,[],[f67])).
% 1.44/0.55 thf(f67,plain,(
% 1.44/0.55 (bl_atom = (^[X0 : $i > $o] : (cs4_atom @ X0)))),
% 1.44/0.55 inference(rectify,[],[f30])).
% 1.44/0.55 thf(f30,axiom,(
% 1.44/0.55 (bl_atom = (^[X5 : $i > $o] : (cs4_atom @ X5)))),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',bl_atom)).
% 1.44/0.55 thf(f177,plain,(
% 1.44/0.55 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y6 @ Y8) | (Y7 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))))),
% 1.44/0.55 inference(definition_unfolding,[],[f121,f169,f165,f172])).
% 1.44/0.55 thf(f172,plain,(
% 1.44/0.55 (bl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)))),
% 1.44/0.55 inference(definition_unfolding,[],[f132,f162])).
% 1.44/0.55 thf(f132,plain,(
% 1.44/0.55 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 1.44/0.55 inference(cnf_transformation,[],[f53])).
% 1.44/0.55 thf(f53,plain,(
% 1.44/0.55 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 1.44/0.55 inference(fool_elimination,[],[f52])).
% 1.44/0.55 thf(f52,plain,(
% 1.44/0.55 (bl_princ = (^[X0 : $i > $o] : (cs4_atom @ X0)))),
% 1.44/0.55 inference(rectify,[],[f31])).
% 1.44/0.55 thf(f31,axiom,(
% 1.44/0.55 (bl_princ = (^[X5 : $i > $o] : (cs4_atom @ X5)))),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',bl_princ)).
% 1.44/0.55 thf(f165,plain,(
% 1.44/0.55 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 1.44/0.55 inference(definition_unfolding,[],[f133,f155,f160])).
% 1.44/0.55 thf(f160,plain,(
% 1.44/0.55 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 1.44/0.55 inference(definition_unfolding,[],[f154,f129,f141])).
% 1.44/0.55 thf(f141,plain,(
% 1.44/0.55 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.44/0.55 inference(cnf_transformation,[],[f112])).
% 1.44/0.55 thf(f112,plain,(
% 1.44/0.55 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 1.44/0.55 inference(fool_elimination,[],[f111])).
% 1.44/0.55 thf(f111,plain,(
% 1.44/0.55 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 1.44/0.55 inference(rectify,[],[f3])).
% 1.44/0.55 thf(f3,axiom,(
% 1.44/0.55 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',mnot)).
% 1.44/0.55 thf(f129,plain,(
% 1.44/0.55 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 1.44/0.55 inference(cnf_transformation,[],[f86])).
% 1.44/0.55 thf(f86,plain,(
% 1.44/0.55 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 1.44/0.55 inference(fool_elimination,[],[f85])).
% 1.44/0.55 thf(f85,plain,(
% 1.44/0.55 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 1.44/0.55 inference(rectify,[],[f4])).
% 1.44/0.55 thf(f4,axiom,(
% 1.44/0.55 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) | (X0 @ X1))))),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',mor)).
% 1.44/0.55 thf(f154,plain,(
% 1.44/0.55 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.44/0.55 inference(cnf_transformation,[],[f90])).
% 1.44/0.55 thf(f90,plain,(
% 1.44/0.55 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 1.44/0.55 inference(fool_elimination,[],[f89])).
% 1.44/0.55 thf(f89,plain,(
% 1.44/0.55 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 1.44/0.55 inference(rectify,[],[f6])).
% 1.44/0.55 thf(f6,axiom,(
% 1.44/0.55 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',mimpl)).
% 1.44/0.55 thf(f133,plain,(
% 1.44/0.55 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 1.44/0.55 inference(cnf_transformation,[],[f114])).
% 1.44/0.55 thf(f114,plain,(
% 1.44/0.55 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 1.44/0.55 inference(fool_elimination,[],[f113])).
% 1.44/0.55 thf(f113,plain,(
% 1.44/0.55 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ reli @ (mimpl @ X0 @ X1))) = cs4_impl)),
% 1.44/0.55 inference(rectify,[],[f19])).
% 1.44/0.55 thf(f19,axiom,(
% 1.44/0.55 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ reli @ (mimpl @ X7 @ X8))) = cs4_impl)),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',cs4_impl)).
% 1.44/0.55 thf(f169,plain,(
% 1.44/0.55 (cs4_box = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0))))),
% 1.44/0.55 inference(definition_unfolding,[],[f145,f155,f155])).
% 1.44/0.55 thf(f145,plain,(
% 1.44/0.55 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 1.44/0.55 inference(cnf_transformation,[],[f49])).
% 1.44/0.55 thf(f49,plain,(
% 1.44/0.55 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 1.44/0.55 inference(fool_elimination,[],[f48])).
% 1.44/0.55 thf(f48,plain,(
% 1.44/0.55 ((^[X0 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X0))) = cs4_box)),
% 1.44/0.55 inference(rectify,[],[f23])).
% 1.44/0.55 thf(f23,axiom,(
% 1.44/0.55 ((^[X7 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X7))) = cs4_box)),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',cs4_box)).
% 1.44/0.55 thf(f121,plain,(
% 1.44/0.55 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 1.44/0.55 inference(cnf_transformation,[],[f110])).
% 1.44/0.55 thf(f110,plain,(
% 1.44/0.55 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 1.44/0.55 inference(fool_elimination,[],[f109])).
% 1.44/0.55 thf(f109,plain,(
% 1.44/0.55 (bl_says = (^[X0 : individuals, X1 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X0)) @ X1))))),
% 1.44/0.55 inference(rectify,[],[f38])).
% 1.44/0.55 thf(f38,axiom,(
% 1.44/0.55 (bl_says = (^[X9 : individuals, X7 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X9)) @ X7))))),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',bl_says)).
% 1.44/0.55 thf(f175,plain,(
% 1.44/0.55 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y6 @ Y8) | (Y7 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))))),
% 1.44/0.55 inference(definition_unfolding,[],[f130,f165])).
% 1.44/0.55 thf(f130,plain,(
% 1.44/0.55 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 1.44/0.55 inference(cnf_transformation,[],[f66])).
% 1.44/0.55 thf(f66,plain,(
% 1.44/0.55 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 1.44/0.55 inference(fool_elimination,[],[f65])).
% 1.44/0.55 thf(f65,plain,(
% 1.44/0.55 ((^[X0 : $i > $o, X1 : $i > $o] : (cs4_impl @ X0 @ X1)) = bl_impl)),
% 1.44/0.55 inference(rectify,[],[f34])).
% 1.44/0.55 thf(f34,axiom,(
% 1.44/0.55 ((^[X7 : $i > $o, X8 : $i > $o] : (cs4_impl @ X7 @ X8)) = bl_impl)),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',bl_impl)).
% 1.44/0.55 thf(f178,plain,(
% 1.44/0.55 (bl_valid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.44/0.55 inference(definition_unfolding,[],[f156,f139])).
% 1.44/0.55 thf(f139,plain,(
% 1.44/0.55 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.44/0.55 inference(cnf_transformation,[],[f105])).
% 1.44/0.55 thf(f105,plain,(
% 1.44/0.55 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 1.44/0.55 inference(fool_elimination,[],[f104])).
% 1.44/0.55 thf(f104,plain,(
% 1.44/0.55 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 1.44/0.55 inference(rectify,[],[f12])).
% 1.44/0.55 thf(f12,axiom,(
% 1.44/0.55 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',mvalid)).
% 1.44/0.55 thf(f156,plain,(
% 1.44/0.55 (mvalid = bl_valid)),
% 1.44/0.55 inference(cnf_transformation,[],[f56])).
% 1.44/0.55 thf(f56,plain,(
% 1.44/0.55 (mvalid = bl_valid)),
% 1.44/0.55 inference(fool_elimination,[],[f39])).
% 1.44/0.55 thf(f39,axiom,(
% 1.44/0.55 (mvalid = bl_valid)),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',bl_valid_def)).
% 1.44/0.55 thf(f122,plain,(
% 1.44/0.55 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: (bl_valid @ (bl_impl @ (bl_says @ loca @ (bl_atom @ Y0)) @ (bl_says @ Y1 @ (bl_atom @ Y0))))))))) = $true)),
% 1.44/0.55 inference(cnf_transformation,[],[f61])).
% 1.44/0.55 thf(f61,plain,(
% 1.44/0.55 ((~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ individuals @ (^[Y1 : individuals]: (bl_valid @ (bl_impl @ (bl_says @ loca @ (bl_atom @ Y0)) @ (bl_says @ Y1 @ (bl_atom @ Y0))))))))) = $true)),
% 1.44/0.55 inference(fool_elimination,[],[f60])).
% 1.44/0.55 thf(f60,plain,(
% 1.44/0.55 ~! [X0 : individuals,X1 : $i > $o] : (bl_valid @ (bl_impl @ (bl_says @ loca @ (bl_atom @ X1)) @ (bl_says @ X0 @ (bl_atom @ X1))))),
% 1.44/0.55 inference(rectify,[],[f42])).
% 1.44/0.55 thf(f42,negated_conjecture,(
% 1.44/0.55 ~! [X9 : individuals,X7 : $i > $o] : (bl_valid @ (bl_impl @ (bl_says @ loca @ (bl_atom @ X7)) @ (bl_says @ X9 @ (bl_atom @ X7))))),
% 1.44/0.55 inference(negated_conjecture,[],[f41])).
% 1.44/0.55 thf(f41,conjecture,(
% 1.44/0.55 ! [X9 : individuals,X7 : $i > $o] : (bl_valid @ (bl_impl @ (bl_says @ loca @ (bl_atom @ X7)) @ (bl_says @ X9 @ (bl_atom @ X7))))),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',bl_strength)).
% 1.44/0.55 thf(f1245,plain,(
% 1.44/0.55 ($true = ((reli @ sK9 @ sK10) => (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ loca @ Y0)))))))),
% 1.44/0.55 inference(boolean_simplification,[],[f1231])).
% 1.44/0.55 thf(f1231,plain,(
% 1.44/0.55 (((reli @ sK9 @ sK10) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ loca @ Y0))))) | $false)) = $true)),
% 1.44/0.55 inference(superposition,[],[f1206,f428])).
% 1.44/0.55 thf(f428,plain,(
% 1.44/0.55 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK4 @ Y0)))) = $false)),
% 1.44/0.55 inference(boolean_simplification,[],[f427])).
% 1.44/0.55 thf(f427,plain,(
% 1.44/0.55 ($false = ($false | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK4 @ Y0))))))),
% 1.44/0.55 inference(backward_demodulation,[],[f418,f426])).
% 1.44/0.55 thf(f426,plain,(
% 1.44/0.55 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK5 @ Y0))))))),
% 1.44/0.55 inference(binary_proxy_clausification,[],[f418])).
% 1.44/0.55 thf(f418,plain,(
% 1.44/0.55 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK5 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK4 @ Y0))))))),
% 1.44/0.55 inference(boolean_simplification,[],[f417])).
% 1.44/0.55 thf(f417,plain,(
% 1.44/0.55 ($false = ($true => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK5 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (sK4 @ Y0)))))))),
% 1.44/0.55 inference(backward_demodulation,[],[f391,f416])).
% 1.44/0.55 thf(f1206,plain,(
% 1.44/0.55 ( ! [X1 : $i] : (($true = ((reli @ sK9 @ X1) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (princ_inj @ loca @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (sK4 @ Y0)))))))) )),
% 1.44/0.55 inference(beta_eta_normalization,[],[f1202])).
% 1.44/0.55 thf(f1202,plain,(
% 1.44/0.55 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ loca @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK4 @ Y1))))))) @ X1) = $true)) )),
% 1.44/0.55 inference(pi_clausification,[],[f614])).
% 1.44/0.55 thf(f614,plain,(
% 1.44/0.55 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ loca @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK4 @ Y1)))))))) = $true)),
% 1.44/0.55 inference(boolean_simplification,[],[f612])).
% 1.44/0.55 thf(f612,plain,(
% 1.44/0.55 ($true = ($true => (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ loca @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK4 @ Y1))))))))))),
% 1.44/0.55 inference(superposition,[],[f600,f381])).
% 1.44/0.55 thf(f381,plain,(
% 1.44/0.55 ((relr @ sK8 @ sK9) = $true)),
% 1.44/0.55 inference(binary_proxy_clausification,[],[f370])).
% 1.44/0.55 thf(f600,plain,(
% 1.44/0.55 ( ! [X1 : $i] : (($true = ((relr @ sK8 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (princ_inj @ loca @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK4 @ Y1))))))))))) )),
% 1.44/0.55 inference(beta_eta_normalization,[],[f598])).
% 1.44/0.55 thf(f598,plain,(
% 1.44/0.55 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ loca @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK4 @ Y2)))))))))) @ X1) = $true)) )),
% 1.44/0.55 inference(pi_clausification,[],[f367])).
% 1.44/0.55 thf(f367,plain,(
% 1.44/0.55 ((!! @ $i @ (^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ loca @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK4 @ Y2))))))))))) = $true)),
% 1.44/0.55 inference(boolean_simplification,[],[f360])).
% 1.44/0.55 thf(f360,plain,(
% 1.44/0.55 (($true => (!! @ $i @ (^[Y0 : $i]: ((relr @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ loca @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK4 @ Y2)))))))))))) = $true)),
% 1.44/0.55 inference(superposition,[],[f328,f356])).
% 1.44/0.55 thf(f328,plain,(
% 1.44/0.55 ( ! [X1 : $i] : ((((reli @ sK7 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (princ_inj @ loca @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK4 @ Y2)))))))))))) = $true)) )),
% 1.44/0.55 inference(beta_eta_normalization,[],[f327])).
% 1.44/0.55 thf(f327,plain,(
% 1.44/0.55 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ loca @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3))))))))))))) @ X1) = $true)) )),
% 1.44/0.55 inference(pi_clausification,[],[f320])).
% 1.44/0.55 thf(f320,plain,(
% 1.44/0.55 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ loca @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3)))))))))))))) = $true)),
% 1.44/0.55 inference(not_proxy_clausification,[],[f313])).
% 1.44/0.55 thf(f313,plain,(
% 1.44/0.55 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ loca @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3))))))))))))))))),
% 1.44/0.55 inference(boolean_simplification,[],[f312])).
% 1.44/0.55 thf(f312,plain,(
% 1.44/0.55 (((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (princ_inj @ loca @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK4 @ Y3))))))))))))))) | $false) = $false)),
% 1.44/0.55 inference(backward_demodulation,[],[f309,f310])).
% 1.44/0.55 thf(f1870,plain,(
% 1.44/0.55 ((princ_inj @ loca @ sK18) = $true)),
% 1.44/0.55 inference(boolean_simplification,[],[f1869])).
% 1.44/0.55 thf(f1869,plain,(
% 1.44/0.55 (($true => (princ_inj @ loca @ sK18)) = $true)),
% 1.44/0.55 inference(forward_demodulation,[],[f1864,f1764])).
% 1.44/0.55 thf(f1864,plain,(
% 1.44/0.55 ($true = ((reli @ sK10 @ sK18) => (princ_inj @ loca @ sK18)))),
% 1.44/0.55 inference(boolean_simplification,[],[f1863])).
% 1.44/0.55 thf(f1863,plain,(
% 1.44/0.55 (((reli @ sK10 @ sK18) => ($false | (princ_inj @ loca @ sK18))) = $true)),
% 1.44/0.55 inference(boolean_simplification,[],[f1846])).
% 1.44/0.55 thf(f1846,plain,(
% 1.44/0.55 (((reli @ sK10 @ sK18) => ((~ $true) | (princ_inj @ loca @ sK18))) = $true)),
% 1.44/0.55 inference(superposition,[],[f993,f1828])).
% 1.44/0.55 thf(f1828,plain,(
% 1.44/0.55 ($true = (princ_inj @ sK5 @ sK18))),
% 1.44/0.55 inference(boolean_simplification,[],[f1820])).
% 1.44/0.55 thf(f1820,plain,(
% 1.44/0.55 (($true => (princ_inj @ sK5 @ sK18)) = $true)),
% 1.44/0.55 inference(superposition,[],[f523,f1764])).
% 1.44/0.55 thf(f523,plain,(
% 1.44/0.55 ( ! [X1 : $i] : ((((reli @ sK10 @ X1) => (princ_inj @ sK5 @ X1)) = $true)) )),
% 1.44/0.55 inference(beta_eta_normalization,[],[f516])).
% 1.44/0.55 thf(f516,plain,(
% 1.44/0.55 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK5 @ Y0))) @ X1) = $true)) )),
% 1.44/0.55 inference(pi_clausification,[],[f499])).
% 1.44/0.55 thf(f499,plain,(
% 1.44/0.55 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => (princ_inj @ sK5 @ Y0)))) = $true)),
% 1.44/0.55 inference(not_proxy_clausification,[],[f426])).
% 1.44/0.55 thf(f993,plain,(
% 1.44/0.55 ( ! [X2 : $i,X1 : individuals] : (($true = ((reli @ sK10 @ X2) => ((~ (princ_inj @ X1 @ X2)) | (princ_inj @ loca @ X2))))) )),
% 1.44/0.55 inference(beta_eta_normalization,[],[f992])).
% 1.44/0.55 thf(f992,plain,(
% 1.44/0.55 ( ! [X2 : $i,X1 : individuals] : (($true = ((^[Y0 : $i]: ((reli @ sK10 @ Y0) => ((~ (princ_inj @ X1 @ Y0)) | (princ_inj @ loca @ Y0)))) @ X2))) )),
% 1.44/0.55 inference(pi_clausification,[],[f980])).
% 1.44/0.55 thf(f980,plain,(
% 1.44/0.55 ( ! [X1 : individuals] : (((!! @ $i @ (^[Y0 : $i]: ((reli @ sK10 @ Y0) => ((~ (princ_inj @ X1 @ Y0)) | (princ_inj @ loca @ Y0))))) = $true)) )),
% 1.44/0.55 inference(beta_eta_normalization,[],[f978])).
% 1.44/0.55 thf(f978,plain,(
% 1.44/0.55 ( ! [X1 : individuals] : ((((^[Y0 : individuals]: (!! @ $i @ (^[Y1 : $i]: ((reli @ sK10 @ Y1) => ((~ (princ_inj @ Y0 @ Y1)) | (princ_inj @ loca @ Y1)))))) @ X1) = $true)) )),
% 1.44/0.55 inference(pi_clausification,[],[f424])).
% 1.44/0.55 thf(f424,plain,(
% 1.44/0.55 ((!! @ individuals @ (^[Y0 : individuals]: (!! @ $i @ (^[Y1 : $i]: ((reli @ sK10 @ Y1) => ((~ (princ_inj @ Y0 @ Y1)) | (princ_inj @ loca @ Y1))))))) = $true)),
% 1.44/0.55 inference(boolean_simplification,[],[f419])).
% 1.44/0.55 thf(f419,plain,(
% 1.44/0.55 (($true => (!! @ individuals @ (^[Y0 : individuals]: (!! @ $i @ (^[Y1 : $i]: ((reli @ sK10 @ Y1) => ((~ (princ_inj @ Y0 @ Y1)) | (princ_inj @ loca @ Y1)))))))) = $true)),
% 1.44/0.55 inference(superposition,[],[f244,f416])).
% 1.44/0.55 thf(f244,plain,(
% 1.44/0.55 ( ! [X2 : $i,X1 : $i] : (($true = ((reli @ X1 @ X2) => (!! @ individuals @ (^[Y0 : individuals]: (!! @ $i @ (^[Y1 : $i]: ((reli @ X2 @ Y1) => ((~ (princ_inj @ Y0 @ Y1)) | (princ_inj @ loca @ Y1)))))))))) )),
% 1.44/0.55 inference(beta_eta_normalization,[],[f243])).
% 1.44/0.55 thf(f243,plain,(
% 1.44/0.55 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ individuals @ (^[Y1 : individuals]: (!! @ $i @ (^[Y2 : $i]: ((reli @ Y0 @ Y2) => ((~ (princ_inj @ Y1 @ Y2)) | (princ_inj @ loca @ Y2))))))))) @ X2) = $true)) )),
% 1.44/0.55 inference(pi_clausification,[],[f237])).
% 1.44/0.55 thf(f237,plain,(
% 1.44/0.55 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ individuals @ (^[Y1 : individuals]: (!! @ $i @ (^[Y2 : $i]: ((reli @ Y0 @ Y2) => ((~ (princ_inj @ Y1 @ Y2)) | (princ_inj @ loca @ Y2)))))))))) = $true)) )),
% 1.44/0.55 inference(beta_eta_normalization,[],[f236])).
% 1.44/0.55 thf(f236,plain,(
% 1.44/0.55 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ individuals @ (^[Y2 : individuals]: (!! @ $i @ (^[Y3 : $i]: ((reli @ Y1 @ Y3) => ((~ (princ_inj @ Y2 @ Y3)) | (princ_inj @ loca @ Y3))))))))))) @ X1) = $true)) )),
% 1.44/0.55 inference(pi_clausification,[],[f188])).
% 1.44/0.55 thf(f188,plain,(
% 1.44/0.55 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ individuals @ (^[Y2 : individuals]: (!! @ $i @ (^[Y3 : $i]: ((reli @ Y1 @ Y3) => ((~ (princ_inj @ Y2 @ Y3)) | (princ_inj @ loca @ Y3)))))))))))) = $true)),
% 1.44/0.55 inference(beta_eta_normalization,[],[f185])).
% 1.44/0.55 thf(f185,plain,(
% 1.44/0.55 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : individuals > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : individuals > $i > $o]: ((^[Y2 : $i]: (!! @ individuals @ (^[Y3 : individuals]: (Y1 @ Y3 @ Y2)))))) @ Y0))) @ (^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: ((Y5 @ Y7) | (Y6 @ Y7))))))) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ Y3) @ Y4)))) @ Y1 @ Y2))))) @ (princ_inj @ Y0) @ (princ_inj @ loca))))) = $true)),
% 1.44/0.55 inference(definition_unfolding,[],[f147,f170,f168,f165])).
% 1.44/0.55 thf(f168,plain,(
% 1.44/0.55 (cs4_all = (^[Y0 : individuals > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : individuals > $i > $o]: ((^[Y2 : $i]: (!! @ individuals @ (^[Y3 : individuals]: (Y1 @ Y3 @ Y2)))))) @ Y0))))),
% 1.44/0.55 inference(definition_unfolding,[],[f149,f155,f140])).
% 1.44/0.55 thf(f140,plain,(
% 1.44/0.55 (mall = (^[Y0 : individuals > $i > $o]: ((^[Y1 : $i]: (!! @ individuals @ (^[Y2 : individuals]: (Y0 @ Y2 @ Y1)))))))),
% 1.44/0.55 inference(cnf_transformation,[],[f45])).
% 1.44/0.55 thf(f45,plain,(
% 1.44/0.55 (mall = (^[Y0 : individuals > $i > $o]: ((^[Y1 : $i]: (!! @ individuals @ (^[Y2 : individuals]: (Y0 @ Y2 @ Y1)))))))),
% 1.44/0.55 inference(fool_elimination,[],[f44])).
% 1.44/0.55 thf(f44,plain,(
% 1.44/0.55 (mall = (^[X0 : individuals > $i > $o, X1 : $i] : (! [X2 : individuals] : (X0 @ X2 @ X1))))),
% 1.44/0.55 inference(rectify,[],[f10])).
% 1.44/0.55 thf(f10,axiom,(
% 1.44/0.55 (mall = (^[X5 : individuals > $i > $o, X6 : $i] : (! [X0 : individuals] : (X5 @ X0 @ X6))))),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',mall)).
% 1.44/0.55 thf(f149,plain,(
% 1.44/0.55 (cs4_all = (^[Y0 : individuals > $i > $o]: (mbox @ reli @ (mall @ Y0))))),
% 1.44/0.55 inference(cnf_transformation,[],[f103])).
% 1.44/0.55 thf(f103,plain,(
% 1.44/0.55 (cs4_all = (^[Y0 : individuals > $i > $o]: (mbox @ reli @ (mall @ Y0))))),
% 1.44/0.55 inference(fool_elimination,[],[f102])).
% 1.44/0.55 thf(f102,plain,(
% 1.44/0.55 ((^[X0 : individuals > $i > $o] : (mbox @ reli @ (mall @ X0))) = cs4_all)),
% 1.44/0.55 inference(rectify,[],[f22])).
% 1.44/0.55 thf(f22,axiom,(
% 1.44/0.55 ((^[X7 : individuals > $i > $o] : (mbox @ reli @ (mall @ X7))) = cs4_all)),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',cs4_all)).
% 1.44/0.55 thf(f170,plain,(
% 1.44/0.55 (cs4_valid = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 1.44/0.55 inference(definition_unfolding,[],[f143,f139])).
% 1.44/0.55 thf(f143,plain,(
% 1.44/0.55 (cs4_valid = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 1.44/0.55 inference(cnf_transformation,[],[f51])).
% 1.44/0.55 thf(f51,plain,(
% 1.44/0.55 (cs4_valid = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 1.44/0.55 inference(fool_elimination,[],[f50])).
% 1.44/0.55 thf(f50,plain,(
% 1.44/0.55 (cs4_valid = (^[X0 : $i > $o] : (mvalid @ X0)))),
% 1.44/0.55 inference(rectify,[],[f24])).
% 1.44/0.55 thf(f24,axiom,(
% 1.44/0.55 (cs4_valid = (^[X7 : $i > $o] : (mvalid @ X7)))),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',cs4_valid_def)).
% 1.44/0.55 thf(f147,plain,(
% 1.44/0.55 ($true = (cs4_valid @ (cs4_all @ (^[Y0 : individuals]: (cs4_impl @ (princ_inj @ Y0) @ (princ_inj @ loca))))))),
% 1.44/0.55 inference(cnf_transformation,[],[f47])).
% 1.44/0.55 thf(f47,plain,(
% 1.44/0.55 ($true = (cs4_valid @ (cs4_all @ (^[Y0 : individuals]: (cs4_impl @ (princ_inj @ Y0) @ (princ_inj @ loca))))))),
% 1.44/0.55 inference(fool_elimination,[],[f46])).
% 1.44/0.55 thf(f46,plain,(
% 1.44/0.55 (cs4_valid @ (cs4_all @ (^[X0 : individuals] : (cs4_impl @ (princ_inj @ X0) @ (princ_inj @ loca)))))),
% 1.44/0.55 inference(rectify,[],[f40])).
% 1.44/0.55 thf(f40,axiom,(
% 1.44/0.55 (cs4_valid @ (cs4_all @ (^[X9 : individuals] : (cs4_impl @ (princ_inj @ X9) @ (princ_inj @ loca)))))),
% 1.44/0.55 file('/export/starexec/sandbox/tmp/tmp.8beGsXc3VG/Vampire---4.8_5773',loca_strength)).
% 1.44/0.55 % SZS output end Proof for Vampire---4
% 1.44/0.55 % (5892)------------------------------
% 1.44/0.55 % (5892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.44/0.55 % (5892)Termination reason: Refutation
% 1.44/0.55
% 1.44/0.55 % (5892)Memory used [KB]: 7036
% 1.44/0.55 % (5892)Time elapsed: 0.171 s
% 1.44/0.55 % (5892)Instructions burned: 253 (million)
% 1.44/0.55 % (5892)------------------------------
% 1.44/0.55 % (5892)------------------------------
% 1.44/0.55 % (5880)Success in time 0.179 s
% 1.44/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------