TSTP Solution File: GEG003^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG003^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 : Mon May 20 19:57:05 EDT 2024
% Result : Theorem 2.08s 0.69s
% Output : Refutation 2.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEG003^1 : TPTP v8.2.0. Released v4.1.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n025.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat May 18 21:54:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.39 % (7622)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)
% 0.16/0.40 % (7622)Instruction limit reached!
% 0.16/0.40 % (7622)------------------------------
% 0.16/0.40 % (7622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (7622)Termination reason: Unknown
% 0.16/0.40 % (7622)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (7622)Memory used [KB]: 1151
% 0.16/0.40 % (7622)Time elapsed: 0.004 s
% 0.16/0.40 % (7622)Instructions burned: 4 (million)
% 0.16/0.40 % (7622)------------------------------
% 0.16/0.40 % (7622)------------------------------
% 0.16/0.40 % (7615)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.41 % (7620)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)
% 0.16/0.41 % (7616)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)
% 0.16/0.41 % (7618)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.41 % (7621)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.41 % (7618)Instruction limit reached!
% 0.16/0.41 % (7618)------------------------------
% 0.16/0.41 % (7618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (7618)Termination reason: Unknown
% 0.16/0.41 % (7618)Termination phase: shuffling
% 0.16/0.41
% 0.16/0.41 % (7623)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)
% 0.16/0.41 % (7618)Memory used [KB]: 1023
% 0.16/0.41 % (7618)Time elapsed: 0.003 s
% 0.16/0.41 % (7618)Instructions burned: 3 (million)
% 0.16/0.41 % (7618)------------------------------
% 0.16/0.41 % (7618)------------------------------
% 0.16/0.41 % (7616)Instruction limit reached!
% 0.16/0.41 % (7616)------------------------------
% 0.16/0.41 % (7616)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (7616)Termination reason: Unknown
% 0.16/0.41 % (7616)Termination phase: shuffling
% 0.16/0.41
% 0.16/0.41 % (7616)Memory used [KB]: 1151
% 0.16/0.41 % (7616)Time elapsed: 0.004 s
% 0.16/0.41 % (7616)Instructions burned: 4 (million)
% 0.16/0.41 % (7616)------------------------------
% 0.16/0.41 % (7616)------------------------------
% 0.16/0.41 % (7619)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)
% 0.16/0.41 % (7619)Instruction limit reached!
% 0.16/0.41 % (7619)------------------------------
% 0.16/0.41 % (7619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (7619)Termination reason: Unknown
% 0.16/0.41 % (7619)Termination phase: shuffling
% 0.16/0.41
% 0.16/0.41 % (7619)Memory used [KB]: 1023
% 0.16/0.41 % (7619)Time elapsed: 0.003 s
% 0.16/0.41 % (7619)Instructions burned: 3 (million)
% 0.16/0.41 % (7619)------------------------------
% 0.16/0.41 % (7619)------------------------------
% 0.16/0.41 % (7617)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)
% 0.16/0.41 % (7620)Refutation not found, incomplete strategy
% 0.16/0.41 % (7620)------------------------------
% 0.16/0.41 % (7620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (7620)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.41
% 0.16/0.41
% 0.16/0.41 % (7620)Memory used [KB]: 5628
% 0.16/0.41 % (7620)Time elapsed: 0.008 s
% 0.16/0.41 % (7620)Instructions burned: 10 (million)
% 0.16/0.41 % (7620)------------------------------
% 0.16/0.41 % (7620)------------------------------
% 0.16/0.42 % (7621)Instruction limit reached!
% 0.16/0.42 % (7621)------------------------------
% 0.16/0.42 % (7621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (7621)Termination reason: Unknown
% 0.16/0.42 % (7621)Termination phase: Saturation
% 0.16/0.42
% 0.16/0.42 % (7621)Memory used [KB]: 5628
% 0.16/0.42 % (7621)Time elapsed: 0.010 s
% 0.16/0.42 % (7621)Instructions burned: 20 (million)
% 0.16/0.42 % (7621)------------------------------
% 0.16/0.42 % (7621)------------------------------
% 0.16/0.42 % (7624)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)
% 0.16/0.42 % (7617)Instruction limit reached!
% 0.16/0.42 % (7617)------------------------------
% 0.16/0.42 % (7617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (7617)Termination reason: Unknown
% 0.16/0.42 % (7617)Termination phase: Saturation
% 0.16/0.42
% 0.16/0.42 % (7617)Memory used [KB]: 5756
% 0.16/0.42 % (7617)Time elapsed: 0.016 s
% 0.16/0.42 % (7617)Instructions burned: 27 (million)
% 0.16/0.42 % (7617)------------------------------
% 0.16/0.42 % (7617)------------------------------
% 0.16/0.42 % (7625)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)
% 0.16/0.43 % (7625)Instruction limit reached!
% 0.16/0.43 % (7625)------------------------------
% 0.16/0.43 % (7625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (7625)Termination reason: Unknown
% 0.16/0.43 % (7625)Termination phase: shuffling
% 0.16/0.43
% 0.16/0.43 % (7625)Memory used [KB]: 1023
% 0.16/0.43 % (7625)Time elapsed: 0.003 s
% 0.16/0.43 % (7625)Instructions burned: 3 (million)
% 0.16/0.43 % (7625)------------------------------
% 0.16/0.43 % (7625)------------------------------
% 0.16/0.43 % (7623)Instruction limit reached!
% 0.16/0.43 % (7623)------------------------------
% 0.16/0.43 % (7623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (7623)Termination reason: Unknown
% 0.16/0.43 % (7623)Termination phase: Saturation
% 0.16/0.43
% 0.16/0.43 % (7623)Memory used [KB]: 6012
% 0.16/0.43 % (7623)Time elapsed: 0.019 s
% 0.16/0.43 % (7623)Instructions burned: 38 (million)
% 0.16/0.43 % (7623)------------------------------
% 0.16/0.43 % (7623)------------------------------
% 0.16/0.43 % (7626)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)
% 0.16/0.43 % (7627)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.43 % (7624)Instruction limit reached!
% 0.16/0.43 % (7624)------------------------------
% 0.16/0.43 % (7624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (7624)Termination reason: Unknown
% 0.16/0.43 % (7624)Termination phase: Saturation
% 0.16/0.43
% 0.16/0.43 % (7624)Memory used [KB]: 1151
% 0.16/0.43 % (7624)Time elapsed: 0.008 s
% 0.16/0.43 % (7624)Instructions burned: 16 (million)
% 0.16/0.43 % (7624)------------------------------
% 0.16/0.43 % (7624)------------------------------
% 0.16/0.43 % (7627)Instruction limit reached!
% 0.16/0.43 % (7627)------------------------------
% 0.16/0.43 % (7627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (7627)Termination reason: Unknown
% 0.16/0.43 % (7627)Termination phase: Property scanning
% 0.16/0.43
% 0.16/0.43 % (7627)Memory used [KB]: 1151
% 0.16/0.43 % (7627)Time elapsed: 0.005 s
% 0.16/0.43 % (7627)Instructions burned: 7 (million)
% 0.16/0.43 % (7627)------------------------------
% 0.16/0.43 % (7627)------------------------------
% 0.16/0.43 % (7628)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.44 % (7629)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)
% 0.16/0.44 % (7628)Instruction limit reached!
% 0.16/0.44 % (7628)------------------------------
% 0.16/0.44 % (7628)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (7628)Termination reason: Unknown
% 0.16/0.44 % (7628)Termination phase: Saturation
% 0.16/0.44
% 0.16/0.44 % (7628)Memory used [KB]: 5628
% 0.16/0.44 % (7628)Time elapsed: 0.009 s
% 0.16/0.44 % (7628)Instructions burned: 18 (million)
% 0.16/0.44 % (7628)------------------------------
% 0.16/0.44 % (7628)------------------------------
% 0.16/0.44 % (7629)Instruction limit reached!
% 0.16/0.44 % (7629)------------------------------
% 0.16/0.44 % (7629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (7629)Termination reason: Unknown
% 0.16/0.44 % (7629)Termination phase: shuffling
% 0.16/0.44
% 0.16/0.44 % (7629)Memory used [KB]: 1151
% 0.16/0.44 % (7629)Time elapsed: 0.004 s
% 0.16/0.44 % (7629)Instructions burned: 4 (million)
% 0.16/0.44 % (7629)------------------------------
% 0.16/0.44 % (7629)------------------------------
% 0.16/0.44 % (7630)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)
% 0.16/0.44 % (7631)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)
% 0.16/0.44 % (7630)Instruction limit reached!
% 0.16/0.44 % (7630)------------------------------
% 0.16/0.44 % (7630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (7630)Termination reason: Unknown
% 0.16/0.44 % (7630)Termination phase: shuffling
% 0.16/0.44
% 0.16/0.44 % (7630)Memory used [KB]: 1023
% 0.16/0.44 % (7630)Time elapsed: 0.003 s
% 0.16/0.44 % (7630)Instructions burned: 3 (million)
% 0.16/0.44 % (7630)------------------------------
% 0.16/0.44 % (7630)------------------------------
% 0.24/0.44 % (7631)Instruction limit reached!
% 0.24/0.44 % (7631)------------------------------
% 0.24/0.44 % (7631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (7631)Termination reason: Unknown
% 0.24/0.44 % (7631)Termination phase: Property scanning
% 0.24/0.44
% 0.24/0.44 % (7631)Memory used [KB]: 1151
% 0.24/0.44 % (7631)Time elapsed: 0.004 s
% 0.24/0.44 % (7631)Instructions burned: 7 (million)
% 0.24/0.44 % (7631)------------------------------
% 0.24/0.44 % (7631)------------------------------
% 0.24/0.45 % (7633)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.24/0.45 % (7633)Instruction limit reached!
% 0.24/0.45 % (7633)------------------------------
% 0.24/0.45 % (7633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.45 % (7633)Termination reason: Unknown
% 0.24/0.45 % (7633)Termination phase: shuffling
% 0.24/0.45
% 0.24/0.45 % (7633)Memory used [KB]: 1151
% 0.24/0.45 % (7633)Time elapsed: 0.003 s
% 0.24/0.45 % (7633)Instructions burned: 5 (million)
% 0.24/0.45 % (7633)------------------------------
% 0.24/0.45 % (7633)------------------------------
% 0.24/0.45 % (7632)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)
% 0.24/0.45 % (7636)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.24/0.45 % (7632)Instruction limit reached!
% 0.24/0.45 % (7632)------------------------------
% 0.24/0.45 % (7632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.45 % (7632)Termination reason: Unknown
% 0.24/0.45 % (7637)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)
% 0.24/0.45 % (7632)Termination phase: shuffling
% 0.24/0.45
% 0.24/0.45 % (7632)Memory used [KB]: 1023
% 0.24/0.45 % (7632)Time elapsed: 0.003 s
% 0.24/0.45 % (7632)Instructions burned: 3 (million)
% 0.24/0.45 % (7632)------------------------------
% 0.24/0.45 % (7632)------------------------------
% 0.24/0.45 % (7635)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.24/0.46 % (7636)Instruction limit reached!
% 0.24/0.46 % (7636)------------------------------
% 0.24/0.46 % (7636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (7636)Termination reason: Unknown
% 0.24/0.46 % (7636)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (7636)Memory used [KB]: 1151
% 0.24/0.46 % (7636)Time elapsed: 0.005 s
% 0.24/0.46 % (7636)Instructions burned: 7 (million)
% 0.24/0.46 % (7636)------------------------------
% 0.24/0.46 % (7636)------------------------------
% 0.24/0.46 % (7637)Refutation not found, incomplete strategy
% 0.24/0.46 % (7637)------------------------------
% 0.24/0.46 % (7637)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (7637)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.46
% 0.24/0.46
% 0.24/0.46 % (7637)Memory used [KB]: 5628
% 0.24/0.46 % (7637)Time elapsed: 0.004 s
% 0.24/0.46 % (7637)Instructions burned: 10 (million)
% 0.24/0.46 % (7637)------------------------------
% 0.24/0.46 % (7637)------------------------------
% 0.24/0.46 % (7635)Refutation not found, incomplete strategy
% 0.24/0.46 % (7635)------------------------------
% 0.24/0.46 % (7635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (7635)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.46
% 0.24/0.46
% 0.24/0.46 % (7635)Memory used [KB]: 5628
% 0.24/0.46 % (7635)Time elapsed: 0.009 s
% 0.24/0.46 % (7635)Instructions burned: 12 (million)
% 0.24/0.46 % (7635)------------------------------
% 0.24/0.46 % (7635)------------------------------
% 0.24/0.46 % (7634)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)
% 0.24/0.47 % (7640)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)
% 0.24/0.47 % (7640)Instruction limit reached!
% 0.24/0.47 % (7640)------------------------------
% 0.24/0.47 % (7640)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.47 % (7640)Termination reason: Unknown
% 0.24/0.47 % (7640)Termination phase: Property scanning
% 0.24/0.47
% 0.24/0.47 % (7640)Memory used [KB]: 1151
% 0.24/0.47 % (7640)Time elapsed: 0.003 s
% 0.24/0.47 % (7640)Instructions burned: 6 (million)
% 0.24/0.47 % (7640)------------------------------
% 0.24/0.47 % (7640)------------------------------
% 0.24/0.47 % (7639)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.24/0.47 % (7638)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)
% 0.24/0.47 % (7639)Instruction limit reached!
% 0.24/0.47 % (7639)------------------------------
% 0.24/0.47 % (7639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.47 % (7639)Termination reason: Unknown
% 0.24/0.47 % (7639)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (7639)Memory used [KB]: 1151
% 0.24/0.47 % (7639)Time elapsed: 0.004 s
% 0.24/0.47 % (7639)Instructions burned: 5 (million)
% 0.24/0.47 % (7639)------------------------------
% 0.24/0.47 % (7639)------------------------------
% 0.24/0.47 % (7634)Instruction limit reached!
% 0.24/0.47 % (7634)------------------------------
% 0.24/0.47 % (7634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.47 % (7634)Termination reason: Unknown
% 0.24/0.47 % (7634)Termination phase: Saturation
% 0.24/0.47
% 0.24/0.47 % (7634)Memory used [KB]: 5756
% 0.24/0.47 % (7634)Time elapsed: 0.011 s
% 0.24/0.47 % (7634)Instructions burned: 19 (million)
% 0.24/0.47 % (7634)------------------------------
% 0.24/0.47 % (7634)------------------------------
% 0.24/0.47 % (7641)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.24/0.48 % (7643)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)
% 0.24/0.48 % (7642)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)
% 0.24/0.48 % (7638)Instruction limit reached!
% 0.24/0.48 % (7638)------------------------------
% 0.24/0.48 % (7638)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (7638)Termination reason: Unknown
% 0.24/0.48 % (7638)Termination phase: Saturation
% 0.24/0.48
% 0.24/0.48 % (7638)Memory used [KB]: 5756
% 0.24/0.48 % (7638)Time elapsed: 0.011 s
% 0.24/0.48 % (7638)Instructions burned: 21 (million)
% 0.24/0.48 % (7638)------------------------------
% 0.24/0.48 % (7638)------------------------------
% 0.24/0.48 % (7643)Refutation not found, incomplete strategy
% 0.24/0.48 % (7643)------------------------------
% 0.24/0.48 % (7643)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (7643)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.48
% 0.24/0.48
% 0.24/0.48 % (7643)Memory used [KB]: 5756
% 0.24/0.48 % (7643)Time elapsed: 0.005 s
% 0.24/0.48 % (7643)Instructions burned: 13 (million)
% 0.24/0.48 % (7643)------------------------------
% 0.24/0.48 % (7643)------------------------------
% 0.24/0.48 % (7644)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)
% 0.24/0.49 % (7646)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.49 % (7646)Instruction limit reached!
% 0.24/0.49 % (7646)------------------------------
% 0.24/0.49 % (7646)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.49 % (7646)Termination reason: Unknown
% 0.24/0.49 % (7646)Termination phase: shuffling
% 0.24/0.49
% 0.24/0.49 % (7646)Memory used [KB]: 1023
% 0.24/0.49 % (7646)Time elapsed: 0.002 s
% 0.24/0.49 % (7646)Instructions burned: 3 (million)
% 0.24/0.49 % (7646)------------------------------
% 0.24/0.49 % (7646)------------------------------
% 0.24/0.49 % (7645)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.24/0.50 % (7647)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.24/0.50 % (7648)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)
% 0.24/0.50 % (7645)Instruction limit reached!
% 0.24/0.50 % (7645)------------------------------
% 0.24/0.50 % (7645)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.50 % (7645)Termination reason: Unknown
% 0.24/0.50 % (7645)Termination phase: Saturation
% 0.24/0.50
% 0.24/0.50 % (7645)Memory used [KB]: 5628
% 0.24/0.50 % (7645)Time elapsed: 0.009 s
% 0.24/0.50 % (7645)Instructions burned: 17 (million)
% 0.24/0.50 % (7645)------------------------------
% 0.24/0.50 % (7645)------------------------------
% 0.24/0.51 % (7649)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)
% 0.24/0.51 % (7647)Instruction limit reached!
% 0.24/0.51 % (7647)------------------------------
% 0.24/0.51 % (7647)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.51 % (7647)Termination reason: Unknown
% 0.24/0.51 % (7647)Termination phase: Saturation
% 0.24/0.51
% 0.24/0.51 % (7647)Memory used [KB]: 5756
% 0.24/0.51 % (7647)Time elapsed: 0.036 s
% 0.24/0.51 % (7647)Instructions burned: 30 (million)
% 0.24/0.51 % (7647)------------------------------
% 0.24/0.51 % (7647)------------------------------
% 0.24/0.51 % (7615)Instruction limit reached!
% 0.24/0.51 % (7615)------------------------------
% 0.24/0.51 % (7615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.51 % (7615)Termination reason: Unknown
% 0.24/0.51 % (7615)Termination phase: Saturation
% 0.24/0.51
% 0.24/0.51 % (7615)Memory used [KB]: 7291
% 0.24/0.51 % (7615)Time elapsed: 0.114 s
% 0.24/0.51 % (7615)Instructions burned: 184 (million)
% 0.24/0.51 % (7615)------------------------------
% 0.24/0.51 % (7615)------------------------------
% 0.24/0.53 % (7650)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)
% 0.24/0.53 % (7650)Instruction limit reached!
% 0.24/0.53 % (7650)------------------------------
% 0.24/0.53 % (7650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.53 % (7650)Termination reason: Unknown
% 0.24/0.53 % (7650)Termination phase: shuffling
% 0.24/0.53
% 0.24/0.53 % (7650)Memory used [KB]: 1023
% 0.24/0.53 % (7650)Time elapsed: 0.003 s
% 0.24/0.53 % (7650)Instructions burned: 3 (million)
% 0.24/0.53 % (7650)------------------------------
% 0.24/0.53 % (7650)------------------------------
% 0.24/0.54 % (7649)Instruction limit reached!
% 0.24/0.54 % (7649)------------------------------
% 0.24/0.54 % (7649)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.54 % (7649)Termination reason: Unknown
% 0.24/0.54 % (7649)Termination phase: Saturation
% 0.24/0.54
% 0.24/0.54 % (7649)Memory used [KB]: 6140
% 0.24/0.54 % (7649)Time elapsed: 0.032 s
% 0.24/0.54 % (7649)Instructions burned: 100 (million)
% 0.24/0.54 % (7649)------------------------------
% 0.24/0.54 % (7649)------------------------------
% 1.26/0.54 % (7651)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)
% 1.26/0.55 % (7653)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.26/0.55 % (7652)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 1.26/0.55 % (7651)Refutation not found, incomplete strategy
% 1.26/0.55 % (7651)------------------------------
% 1.26/0.55 % (7651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.26/0.55 % (7651)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.55
% 1.26/0.55
% 1.26/0.55 % (7651)Memory used [KB]: 5756
% 1.26/0.55 % (7651)Time elapsed: 0.038 s
% 1.26/0.55 % (7651)Instructions burned: 15 (million)
% 1.26/0.55 % (7651)------------------------------
% 1.26/0.55 % (7651)------------------------------
% 1.26/0.55 % (7648)Instruction limit reached!
% 1.26/0.55 % (7648)------------------------------
% 1.26/0.55 % (7648)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.26/0.55 % (7648)Termination reason: Unknown
% 1.26/0.55 % (7648)Termination phase: Saturation
% 1.26/0.55
% 1.26/0.55 % (7648)Memory used [KB]: 6140
% 1.26/0.55 % (7648)Time elapsed: 0.058 s
% 1.26/0.55 % (7648)Instructions burned: 127 (million)
% 1.26/0.55 % (7648)------------------------------
% 1.26/0.55 % (7648)------------------------------
% 1.26/0.56 % (7654)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.40/0.57 % (7655)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 theBenchmark for (2998ds/448Mi)
% 1.40/0.57 % (7654)Instruction limit reached!
% 1.40/0.57 % (7654)------------------------------
% 1.40/0.57 % (7654)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.57 % (7654)Termination reason: Unknown
% 1.40/0.57 % (7654)Termination phase: Saturation
% 1.40/0.57
% 1.40/0.57 % (7654)Memory used [KB]: 5884
% 1.40/0.57 % (7654)Time elapsed: 0.035 s
% 1.40/0.57 % (7654)Instructions burned: 41 (million)
% 1.40/0.57 % (7654)------------------------------
% 1.40/0.57 % (7654)------------------------------
% 1.40/0.58 % (7656)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 theBenchmark for (2998ds/46Mi)
% 1.40/0.59 % (7652)Instruction limit reached!
% 1.40/0.59 % (7652)------------------------------
% 1.40/0.59 % (7652)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.59 % (7652)Termination reason: Unknown
% 1.40/0.59 % (7652)Termination phase: Saturation
% 1.40/0.59
% 1.40/0.59 % (7652)Memory used [KB]: 6268
% 1.40/0.59 % (7652)Time elapsed: 0.070 s
% 1.40/0.59 % (7652)Instructions burned: 87 (million)
% 1.40/0.59 % (7652)------------------------------
% 1.40/0.59 % (7652)------------------------------
% 1.40/0.59 % (7653)Instruction limit reached!
% 1.40/0.59 % (7653)------------------------------
% 1.40/0.59 % (7653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.59 % (7653)Termination reason: Unknown
% 1.40/0.59 % (7653)Termination phase: Saturation
% 1.40/0.59
% 1.40/0.60 % (7653)Memory used [KB]: 6140
% 1.40/0.60 % (7653)Time elapsed: 0.072 s
% 1.40/0.60 % (7653)Instructions burned: 108 (million)
% 1.40/0.60 % (7653)------------------------------
% 1.40/0.60 % (7653)------------------------------
% 1.40/0.60 % (7656)Instruction limit reached!
% 1.40/0.60 % (7656)------------------------------
% 1.40/0.60 % (7656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.60 % (7656)Termination reason: Unknown
% 1.40/0.60 % (7656)Termination phase: Saturation
% 1.40/0.60
% 1.40/0.60 % (7656)Memory used [KB]: 5884
% 1.40/0.60 % (7656)Time elapsed: 0.047 s
% 1.40/0.60 % (7656)Instructions burned: 46 (million)
% 1.40/0.60 % (7656)------------------------------
% 1.40/0.60 % (7656)------------------------------
% 1.40/0.61 % (7657)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 theBenchmark for (2998ds/98Mi)
% 1.40/0.61 % (7658)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 theBenchmark for (2997ds/507Mi)
% 1.40/0.62 % (7659)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.40/0.62 % (7658)Refutation not found, incomplete strategy
% 1.40/0.62 % (7658)------------------------------
% 1.40/0.62 % (7658)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.62 % (7658)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.62
% 1.40/0.62
% 1.40/0.62 % (7658)Memory used [KB]: 5756
% 1.40/0.62 % (7658)Time elapsed: 0.010 s
% 1.40/0.62 % (7658)Instructions burned: 19 (million)
% 1.40/0.62 % (7658)------------------------------
% 1.40/0.62 % (7658)------------------------------
% 1.84/0.63 % (7660)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.84/0.65 % (7660)Instruction limit reached!
% 1.84/0.65 % (7660)------------------------------
% 1.84/0.65 % (7660)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.84/0.65 % (7660)Termination reason: Unknown
% 1.84/0.65 % (7660)Termination phase: Saturation
% 1.84/0.65
% 1.84/0.65 % (7660)Memory used [KB]: 5884
% 1.84/0.65 % (7660)Time elapsed: 0.021 s
% 1.84/0.65 % (7660)Instructions burned: 40 (million)
% 1.84/0.65 % (7660)------------------------------
% 1.84/0.65 % (7660)------------------------------
% 1.84/0.66 % (7657)Instruction limit reached!
% 1.84/0.66 % (7657)------------------------------
% 1.84/0.66 % (7657)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.84/0.66 % (7657)Termination reason: Unknown
% 1.84/0.66 % (7657)Termination phase: Saturation
% 1.84/0.66
% 1.84/0.66 % (7657)Memory used [KB]: 1535
% 1.84/0.66 % (7657)Time elapsed: 0.074 s
% 1.84/0.66 % (7657)Instructions burned: 98 (million)
% 1.84/0.66 % (7657)------------------------------
% 1.84/0.66 % (7657)------------------------------
% 1.84/0.66 % (7641)Instruction limit reached!
% 1.84/0.66 % (7641)------------------------------
% 1.84/0.66 % (7641)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.84/0.66 % (7641)Termination reason: Unknown
% 1.84/0.66 % (7641)Termination phase: Saturation
% 1.84/0.66
% 1.84/0.66 % (7641)Memory used [KB]: 6908
% 1.84/0.66 % (7641)Time elapsed: 0.186 s
% 1.84/0.66 % (7641)Instructions burned: 377 (million)
% 1.84/0.66 % (7641)------------------------------
% 1.84/0.66 % (7641)------------------------------
% 2.08/0.66 % (7659)Instruction limit reached!
% 2.08/0.66 % (7659)------------------------------
% 2.08/0.66 % (7659)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.08/0.66 % (7659)Termination reason: Unknown
% 2.08/0.66 % (7659)Termination phase: Saturation
% 2.08/0.66
% 2.08/0.66 % (7659)Memory used [KB]: 6268
% 2.08/0.66 % (7659)Time elapsed: 0.050 s
% 2.08/0.66 % (7659)Instructions burned: 149 (million)
% 2.08/0.66 % (7659)------------------------------
% 2.08/0.66 % (7659)------------------------------
% 2.08/0.67 % (7662)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2997ds/1087Mi)
% 2.08/0.67 % (7664)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2997ds/44Mi)
% 2.08/0.67 % (7663)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.08/0.67 % (7626)First to succeed.
% 2.08/0.68 % (7662)Refutation not found, incomplete strategy
% 2.08/0.68 % (7662)------------------------------
% 2.08/0.68 % (7662)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.08/0.68 % (7662)Termination reason: Refutation not found, incomplete strategy
% 2.08/0.68
% 2.08/0.68
% 2.08/0.68 % (7662)Memory used [KB]: 5756
% 2.08/0.68 % (7662)Time elapsed: 0.008 s
% 2.08/0.68 % (7662)Instructions burned: 13 (million)
% 2.08/0.68 % (7662)------------------------------
% 2.08/0.68 % (7662)------------------------------
% 2.08/0.68 % (7661)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 2.08/0.68 % (7661)Instruction limit reached!
% 2.08/0.68 % (7661)------------------------------
% 2.08/0.68 % (7661)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.08/0.68 % (7661)Termination reason: Unknown
% 2.08/0.68 % (7661)Termination phase: Property scanning
% 2.08/0.68
% 2.08/0.68 % (7661)Memory used [KB]: 1151
% 2.08/0.68 % (7661)Time elapsed: 0.003 s
% 2.08/0.68 % (7661)Instructions burned: 6 (million)
% 2.08/0.68 % (7661)------------------------------
% 2.08/0.68 % (7661)------------------------------
% 2.08/0.68 % (7664)Instruction limit reached!
% 2.08/0.68 % (7664)------------------------------
% 2.08/0.68 % (7664)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.08/0.68 % (7664)Termination reason: Unknown
% 2.08/0.68 % (7664)Termination phase: Saturation
% 2.08/0.68
% 2.08/0.68 % (7664)Memory used [KB]: 1279
% 2.08/0.68 % (7664)Time elapsed: 0.014 s
% 2.08/0.68 % (7664)Instructions burned: 45 (million)
% 2.08/0.68 % (7664)------------------------------
% 2.08/0.68 % (7664)------------------------------
% 2.08/0.69 % (7626)Refutation found. Thanks to Tanya!
% 2.08/0.69 % SZS status Theorem for theBenchmark
% 2.08/0.69 % SZS output start Proof for theBenchmark
% 2.08/0.69 thf(type_def_5, type, mu: $tType).
% 2.08/0.69 thf(type_def_7, type, reg: $tType).
% 2.08/0.69 thf(func_def_0, type, mu: $tType).
% 2.08/0.69 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 2.08/0.69 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_15, type, mtrue: $i > $o).
% 2.08/0.69 thf(func_def_16, type, mfalse: $i > $o).
% 2.08/0.69 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.08/0.69 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 2.08/0.69 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 2.08/0.69 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 2.08/0.69 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 2.08/0.69 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 2.08/0.69 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 2.08/0.69 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 2.08/0.69 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 2.08/0.69 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 2.08/0.69 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 2.08/0.69 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 2.08/0.69 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 2.08/0.69 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 2.08/0.69 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 2.08/0.69 thf(func_def_33, type, reg: $tType).
% 2.08/0.69 thf(func_def_34, type, c: reg > reg > $o).
% 2.08/0.69 thf(func_def_35, type, dc: reg > reg > $o).
% 2.08/0.69 thf(func_def_36, type, p: reg > reg > $o).
% 2.08/0.69 thf(func_def_37, type, eq: reg > reg > $o).
% 2.08/0.69 thf(func_def_38, type, o: reg > reg > $o).
% 2.08/0.69 thf(func_def_39, type, po: reg > reg > $o).
% 2.08/0.69 thf(func_def_40, type, ec: reg > reg > $o).
% 2.08/0.69 thf(func_def_41, type, pp: reg > reg > $o).
% 2.08/0.69 thf(func_def_42, type, tpp: reg > reg > $o).
% 2.08/0.69 thf(func_def_43, type, ntpp: reg > reg > $o).
% 2.08/0.69 thf(func_def_44, type, catalunya: reg).
% 2.08/0.69 thf(func_def_45, type, france: reg).
% 2.08/0.69 thf(func_def_46, type, spain: reg).
% 2.08/0.69 thf(func_def_47, type, paris: reg).
% 2.08/0.69 thf(func_def_48, type, a: $i > $i > $o).
% 2.08/0.69 thf(func_def_49, type, fool: $i > $i > $o).
% 2.08/0.69 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)).
% 2.08/0.69 thf(func_def_70, type, sK5: reg).
% 2.08/0.69 thf(func_def_71, type, sK6: reg).
% 2.08/0.69 thf(func_def_72, type, sK7: reg).
% 2.08/0.69 thf(func_def_73, type, sK8: reg).
% 2.08/0.69 thf(func_def_74, type, sK9: reg).
% 2.08/0.69 thf(func_def_75, type, sK10: reg).
% 2.08/0.69 thf(func_def_76, type, sK11: reg).
% 2.08/0.69 thf(func_def_77, type, sK12: reg).
% 2.08/0.69 thf(func_def_78, type, sK13: reg).
% 2.08/0.69 thf(func_def_79, type, sK14: reg).
% 2.08/0.69 thf(func_def_80, type, sK15: reg).
% 2.08/0.69 thf(func_def_81, type, sK16: reg).
% 2.08/0.69 thf(func_def_82, type, sK17: reg).
% 2.08/0.69 thf(func_def_83, type, sK18: reg).
% 2.08/0.69 thf(func_def_84, type, sK19: reg).
% 2.08/0.69 thf(func_def_85, type, sK20: reg).
% 2.08/0.69 thf(func_def_86, type, sK21: reg).
% 2.08/0.69 thf(func_def_87, type, sK22: $i > ($i > $o) > $i).
% 2.08/0.69 thf(func_def_88, type, sK23: reg).
% 2.08/0.69 thf(func_def_89, type, sK24: reg).
% 2.08/0.69 thf(func_def_90, type, sK25: reg).
% 2.08/0.69 thf(func_def_91, type, sK26: reg).
% 2.08/0.69 thf(func_def_92, type, sK27: reg).
% 2.08/0.69 thf(func_def_93, type, sK28: reg).
% 2.08/0.69 thf(func_def_94, type, sK29: reg).
% 2.08/0.69 thf(f4457,plain,(
% 2.08/0.69 $false),
% 2.08/0.69 inference(avatar_sat_refutation,[],[f253,f283,f327,f1057,f1342,f2271,f2285,f4149,f4456])).
% 2.08/0.69 thf(f4456,plain,(
% 2.08/0.69 ~spl0_3 | ~spl0_15 | ~spl0_27),
% 2.08/0.69 inference(avatar_contradiction_clause,[],[f4455])).
% 2.08/0.69 thf(f4455,plain,(
% 2.08/0.69 $false | (~spl0_3 | ~spl0_15 | ~spl0_27)),
% 2.08/0.69 inference(trivial_inequality_removal,[],[f4454])).
% 2.08/0.69 thf(f4454,plain,(
% 2.08/0.69 ($false = $true) | (~spl0_3 | ~spl0_15 | ~spl0_27)),
% 2.08/0.69 inference(boolean_simplification,[],[f4453])).
% 2.08/0.69 thf(f4453,plain,(
% 2.08/0.69 ($true = (~ $true)) | (~spl0_3 | ~spl0_15 | ~spl0_27)),
% 2.08/0.69 inference(backward_demodulation,[],[f4169,f4452])).
% 2.08/0.69 thf(f4452,plain,(
% 2.08/0.69 ($true = (c @ sK26 @ paris)) | (~spl0_3 | ~spl0_15)),
% 2.08/0.69 inference(boolean_simplification,[],[f4446])).
% 2.08/0.69 thf(f4446,plain,(
% 2.08/0.69 ($true = ($true => (c @ sK26 @ paris))) | (~spl0_3 | ~spl0_15)),
% 2.08/0.69 inference(superposition,[],[f2484,f4132])).
% 2.08/0.69 thf(f4132,plain,(
% 2.08/0.69 ($true = (c @ sK26 @ sK11)) | (~spl0_3 | ~spl0_15)),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f4113])).
% 2.08/0.69 thf(f4113,plain,(
% 2.08/0.69 (((c @ sK26 @ sK11) => (c @ sK26 @ france)) = $false) | (~spl0_3 | ~spl0_15)),
% 2.08/0.69 inference(beta_eta_normalization,[],[f4111])).
% 2.08/0.69 thf(f4111,plain,(
% 2.08/0.69 (((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ france))) @ sK26) = $false) | (~spl0_3 | ~spl0_15)),
% 2.08/0.69 inference(sigma_clausification,[],[f3563])).
% 2.08/0.69 thf(f3563,plain,(
% 2.08/0.69 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ france)))) = $false) | (~spl0_3 | ~spl0_15)),
% 2.08/0.69 inference(boolean_simplification,[],[f3560])).
% 2.08/0.69 thf(f3560,plain,(
% 2.08/0.69 ($false = ($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ france)))))) | (~spl0_3 | ~spl0_15)),
% 2.08/0.69 inference(superposition,[],[f3540,f2476])).
% 2.08/0.69 thf(f2476,plain,(
% 2.08/0.69 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ spain)))) = $true) | ~spl0_15),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f2470])).
% 2.08/0.69 thf(f2470,plain,(
% 2.08/0.69 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))))) | ~spl0_15),
% 2.08/0.69 inference(beta_eta_normalization,[],[f2465])).
% 2.08/0.69 thf(f2465,plain,(
% 2.08/0.69 ($true = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ sK11)) | ~spl0_15),
% 2.08/0.69 inference(sigma_clausification,[],[f2453])).
% 2.08/0.69 thf(f2453,plain,(
% 2.08/0.69 ($true = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) | ~spl0_15),
% 2.08/0.69 inference(not_proxy_clausification,[],[f1053])).
% 2.08/0.69 thf(f1053,plain,(
% 2.08/0.69 ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) | ~spl0_15),
% 2.08/0.69 inference(avatar_component_clause,[],[f1052])).
% 2.08/0.69 thf(f1052,plain,(
% 2.08/0.69 spl0_15 <=> ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))))),
% 2.08/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 2.08/0.69 thf(f3540,plain,(
% 2.08/0.69 ( ! [X1 : reg] : (($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))))))) ) | ~spl0_3),
% 2.08/0.69 inference(beta_eta_normalization,[],[f3538])).
% 2.08/0.69 thf(f3538,plain,(
% 2.08/0.69 ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X1))) ) | ~spl0_3),
% 2.08/0.69 inference(pi_clausification,[],[f3521])).
% 2.08/0.69 thf(f3521,plain,(
% 2.08/0.69 ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) | ~spl0_3),
% 2.08/0.69 inference(not_proxy_clausification,[],[f3493])).
% 2.08/0.69 thf(f3493,plain,(
% 2.08/0.69 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $true) | ~spl0_3),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f279])).
% 2.08/0.69 thf(f279,plain,(
% 2.08/0.69 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)) = $true) | ~spl0_3),
% 2.08/0.69 inference(avatar_component_clause,[],[f278])).
% 2.08/0.69 thf(f278,plain,(
% 2.08/0.69 spl0_3 <=> (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)) = $true)),
% 2.08/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 2.08/0.69 thf(f2484,plain,(
% 2.08/0.69 ( ! [X1 : reg] : ((((c @ X1 @ sK11) => (c @ X1 @ paris)) = $true)) ) | ~spl0_15),
% 2.08/0.69 inference(beta_eta_normalization,[],[f2483])).
% 2.08/0.69 thf(f2483,plain,(
% 2.08/0.69 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))) @ X1))) ) | ~spl0_15),
% 2.08/0.69 inference(pi_clausification,[],[f2478])).
% 2.08/0.69 thf(f2478,plain,(
% 2.08/0.69 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris)))) = $true) | ~spl0_15),
% 2.08/0.69 inference(boolean_simplification,[],[f2477])).
% 2.08/0.69 thf(f2477,plain,(
% 2.08/0.69 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK11) => (c @ Y0 @ paris))))) = $true) | ~spl0_15),
% 2.08/0.69 inference(backward_demodulation,[],[f2470,f2476])).
% 2.08/0.69 thf(f4169,plain,(
% 2.08/0.69 ((~ (c @ sK26 @ paris)) = $true) | ~spl0_27),
% 2.08/0.69 inference(boolean_simplification,[],[f4154])).
% 2.08/0.69 thf(f4154,plain,(
% 2.08/0.69 ($true = ((c @ sK26 @ paris) => $false)) | ~spl0_27),
% 2.08/0.69 inference(superposition,[],[f615,f3460])).
% 2.08/0.69 thf(f3460,plain,(
% 2.08/0.69 ($false = (c @ sK26 @ france)) | ~spl0_27),
% 2.08/0.69 inference(avatar_component_clause,[],[f3459])).
% 2.08/0.69 thf(f3459,plain,(
% 2.08/0.69 spl0_27 <=> ($false = (c @ sK26 @ france))),
% 2.08/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_27])])).
% 2.08/0.69 thf(f615,plain,(
% 2.08/0.69 ( ! [X1 : reg] : ((((c @ X1 @ paris) => (c @ X1 @ france)) = $true)) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f613])).
% 2.08/0.69 thf(f613,plain,(
% 2.08/0.69 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X1))) )),
% 2.08/0.69 inference(pi_clausification,[],[f602])).
% 2.08/0.69 thf(f602,plain,(
% 2.08/0.69 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true)),
% 2.08/0.69 inference(boolean_simplification,[],[f601])).
% 2.08/0.69 thf(f601,plain,(
% 2.08/0.69 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & $true))),
% 2.08/0.69 inference(backward_demodulation,[],[f532,f599])).
% 2.08/0.69 thf(f599,plain,(
% 2.08/0.69 ($true = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f532])).
% 2.08/0.69 thf(f532,plain,(
% 2.08/0.69 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) = $true)),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f373])).
% 2.08/0.69 thf(f373,plain,(
% 2.08/0.69 ($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france))))))))),
% 2.08/0.69 inference(boolean_simplification,[],[f372])).
% 2.08/0.69 thf(f372,plain,(
% 2.08/0.69 (($false | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))))))) = $true)),
% 2.08/0.69 inference(boolean_simplification,[],[f368])).
% 2.08/0.69 thf(f368,plain,(
% 2.08/0.69 (((~ $true) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))))))) = $true)),
% 2.08/0.69 inference(superposition,[],[f362,f238])).
% 2.08/0.69 thf(f238,plain,(
% 2.08/0.69 ((a @ sK2 @ sK3) = $true)),
% 2.08/0.69 inference(not_proxy_clausification,[],[f233])).
% 2.08/0.69 thf(f233,plain,(
% 2.08/0.69 ($false = (~ (a @ sK2 @ sK3)))),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f231])).
% 2.08/0.69 thf(f231,plain,(
% 2.08/0.69 ($false = ((~ (a @ sK2 @ sK3)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris)))))),
% 2.08/0.69 inference(beta_eta_normalization,[],[f230])).
% 2.08/0.69 thf(f230,plain,(
% 2.08/0.69 (((^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))) @ sK3) = $false)),
% 2.08/0.69 inference(sigma_clausification,[],[f229])).
% 2.08/0.69 thf(f229,plain,(
% 2.08/0.69 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris)))))))),
% 2.08/0.69 inference(beta_eta_normalization,[],[f228])).
% 2.08/0.69 thf(f228,plain,(
% 2.08/0.69 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))))) @ sK2))),
% 2.08/0.69 inference(sigma_clausification,[],[f225])).
% 2.08/0.69 thf(f225,plain,(
% 2.08/0.69 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris)))))))))),
% 2.08/0.69 inference(not_proxy_clausification,[],[f212])).
% 2.08/0.69 thf(f212,plain,(
% 2.08/0.69 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))))))))),
% 2.08/0.69 inference(beta_eta_normalization,[],[f204])).
% 2.08/0.69 thf(f204,plain,(
% 2.08/0.69 ($true = (~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (((^[Y1 : reg]: ((^[Y2 : reg]: (~ (c @ Y1 @ Y2))))) @ spain @ paris) & ((^[Y1 : reg]: ((^[Y2 : reg]: (~ (c @ Y1 @ Y2))))) @ catalunya @ paris)))))))),
% 2.08/0.69 inference(definition_unfolding,[],[f141,f156,f147,f162,f162])).
% 2.08/0.69 thf(f162,plain,(
% 2.08/0.69 (dc = (^[Y0 : reg]: ((^[Y1 : reg]: (~ (c @ Y0 @ Y1))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f68])).
% 2.08/0.69 thf(f68,plain,(
% 2.08/0.69 (dc = (^[Y0 : reg]: ((^[Y1 : reg]: (~ (c @ Y0 @ Y1))))))),
% 2.08/0.69 inference(fool_elimination,[],[f67])).
% 2.08/0.69 thf(f67,plain,(
% 2.08/0.69 (dc = (^[X0 : reg, X1 : reg] : (~(c @ X0 @ X1))))),
% 2.08/0.69 inference(rectify,[],[f34])).
% 2.08/0.69 thf(f34,axiom,(
% 2.08/0.69 (dc = (^[X0 : reg, X1 : reg] : (~(c @ X0 @ X1))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dc)).
% 2.08/0.69 thf(f147,plain,(
% 2.08/0.69 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f57])).
% 2.08/0.69 thf(f57,plain,(
% 2.08/0.69 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 2.08/0.69 inference(fool_elimination,[],[f56])).
% 2.08/0.69 thf(f56,plain,(
% 2.08/0.69 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
% 2.08/0.69 inference(rectify,[],[f16])).
% 2.08/0.69 thf(f16,axiom,(
% 2.08/0.69 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 2.08/0.69 thf(f156,plain,(
% 2.08/0.69 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.08/0.69 inference(cnf_transformation,[],[f114])).
% 2.08/0.69 thf(f114,plain,(
% 2.08/0.69 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.08/0.69 inference(fool_elimination,[],[f113])).
% 2.08/0.69 thf(f113,plain,(
% 2.08/0.69 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 2.08/0.69 inference(rectify,[],[f28])).
% 2.08/0.69 thf(f28,axiom,(
% 2.08/0.69 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 2.08/0.69 thf(f141,plain,(
% 2.08/0.69 ($true = (~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((dc @ spain @ paris) & (dc @ catalunya @ paris)))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f70])).
% 2.08/0.69 thf(f70,plain,(
% 2.08/0.69 ($true = (~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: ((dc @ spain @ paris) & (dc @ catalunya @ paris)))))))),
% 2.08/0.69 inference(fool_elimination,[],[f69])).
% 2.08/0.69 thf(f69,plain,(
% 2.08/0.69 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ catalunya @ paris) & (dc @ spain @ paris)))))),
% 2.08/0.69 inference(rectify,[],[f48])).
% 2.08/0.69 thf(f48,negated_conjecture,(
% 2.08/0.69 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ catalunya @ paris) & (dc @ spain @ paris)))))),
% 2.08/0.69 inference(negated_conjecture,[],[f47])).
% 2.08/0.69 thf(f47,conjecture,(
% 2.08/0.69 (mvalid @ (mbox @ a @ (^[X0 : $i] : ((dc @ catalunya @ paris) & (dc @ spain @ paris)))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 2.08/0.69 thf(f362,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))))))) = $true)) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f361])).
% 2.08/0.69 thf(f361,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ Y1 @ france))))))))) @ X2))) )),
% 2.08/0.69 inference(pi_clausification,[],[f356])).
% 2.08/0.69 thf(f356,plain,(
% 2.08/0.69 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ Y1 @ france)))))))))))) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f355])).
% 2.08/0.69 thf(f355,plain,(
% 2.08/0.69 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))) & (c @ Y2 @ france))))))))))) @ X1) = $true)) )),
% 2.08/0.69 inference(pi_clausification,[],[f211])).
% 2.08/0.69 thf(f211,plain,(
% 2.08/0.69 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))) & (c @ Y2 @ france)))))))))))) = $true)),
% 2.08/0.69 inference(beta_eta_normalization,[],[f208])).
% 2.08/0.69 thf(f208,plain,(
% 2.08/0.69 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2) & (~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2))))))))) @ paris @ france)))) = $true)),
% 2.08/0.69 inference(definition_unfolding,[],[f181,f156,f147,f203])).
% 2.08/0.69 thf(f203,plain,(
% 2.08/0.69 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1))))))))))),
% 2.08/0.69 inference(definition_unfolding,[],[f167,f201,f200,f200])).
% 2.08/0.69 thf(f200,plain,(
% 2.08/0.69 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 2.08/0.69 inference(definition_unfolding,[],[f183,f198])).
% 2.08/0.69 thf(f198,plain,(
% 2.08/0.69 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1))))))))),
% 2.08/0.69 inference(definition_unfolding,[],[f179,f177,f177])).
% 2.08/0.69 thf(f177,plain,(
% 2.08/0.69 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f64])).
% 2.08/0.69 thf(f64,plain,(
% 2.08/0.69 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 2.08/0.69 inference(fool_elimination,[],[f63])).
% 2.08/0.69 thf(f63,plain,(
% 2.08/0.69 (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))),
% 2.08/0.69 inference(rectify,[],[f35])).
% 2.08/0.69 thf(f35,axiom,(
% 2.08/0.69 (p = (^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p)).
% 2.08/0.69 thf(f179,plain,(
% 2.08/0.69 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f132])).
% 2.08/0.69 thf(f132,plain,(
% 2.08/0.69 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 2.08/0.69 inference(fool_elimination,[],[f131])).
% 2.08/0.69 thf(f131,plain,(
% 2.08/0.69 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))),
% 2.08/0.69 inference(rectify,[],[f37])).
% 2.08/0.69 thf(f37,axiom,(
% 2.08/0.69 (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o)).
% 2.08/0.69 thf(f183,plain,(
% 2.08/0.69 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f62])).
% 2.08/0.69 thf(f62,plain,(
% 2.08/0.69 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 2.08/0.69 inference(fool_elimination,[],[f61])).
% 2.08/0.69 thf(f61,plain,(
% 2.08/0.69 (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))),
% 2.08/0.69 inference(rectify,[],[f39])).
% 2.08/0.69 thf(f39,axiom,(
% 2.08/0.69 (ec = (^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec)).
% 2.08/0.69 thf(f201,plain,(
% 2.08/0.69 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))),
% 2.08/0.69 inference(definition_unfolding,[],[f154,f177,f177])).
% 2.08/0.69 thf(f154,plain,(
% 2.08/0.69 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f124])).
% 2.08/0.69 thf(f124,plain,(
% 2.08/0.69 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 2.08/0.69 inference(fool_elimination,[],[f123])).
% 2.08/0.69 thf(f123,plain,(
% 2.08/0.69 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 2.08/0.69 inference(rectify,[],[f40])).
% 2.08/0.69 thf(f40,axiom,(
% 2.08/0.69 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pp)).
% 2.08/0.69 thf(f167,plain,(
% 2.08/0.69 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f79])).
% 2.08/0.69 thf(f79,plain,(
% 2.08/0.69 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 2.08/0.69 inference(fool_elimination,[],[f78])).
% 2.08/0.69 thf(f78,plain,(
% 2.08/0.69 ((^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))) = ntpp)),
% 2.08/0.69 inference(rectify,[],[f42])).
% 2.08/0.69 thf(f42,axiom,(
% 2.08/0.69 ((^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))) = ntpp)),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ntpp)).
% 2.08/0.69 thf(f181,plain,(
% 2.08/0.69 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
% 2.08/0.69 inference(cnf_transformation,[],[f128])).
% 2.08/0.69 thf(f128,plain,(
% 2.08/0.69 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))))),
% 2.08/0.69 inference(fool_elimination,[],[f127])).
% 2.08/0.69 thf(f127,plain,(
% 2.08/0.69 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 2.08/0.69 inference(rectify,[],[f46])).
% 2.08/0.69 thf(f46,axiom,(
% 2.08/0.69 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
% 2.08/0.69 thf(f4149,plain,(
% 2.08/0.69 spl0_27 | ~spl0_3 | ~spl0_15),
% 2.08/0.69 inference(avatar_split_clause,[],[f4138,f1052,f278,f3459])).
% 2.08/0.69 thf(f4138,plain,(
% 2.08/0.69 ($false = (c @ sK26 @ france)) | (~spl0_3 | ~spl0_15)),
% 2.08/0.69 inference(trivial_inequality_removal,[],[f4137])).
% 2.08/0.69 thf(f4137,plain,(
% 2.08/0.69 ($false = (c @ sK26 @ france)) | ($false = $true) | (~spl0_3 | ~spl0_15)),
% 2.08/0.69 inference(boolean_simplification,[],[f4133])).
% 2.08/0.69 thf(f4133,plain,(
% 2.08/0.69 ($false = (c @ sK26 @ france)) | ($false = ((c @ sK26 @ sK11) => $true)) | (~spl0_3 | ~spl0_15)),
% 2.08/0.69 inference(superposition,[],[f4113,f489])).
% 2.08/0.69 thf(f489,plain,(
% 2.08/0.69 ( ! [X0 : reg,X1 : reg] : (((c @ X1 @ X0) = $true) | ((c @ X1 @ X0) = $false)) )),
% 2.08/0.69 inference(boolean_simplification,[],[f476])).
% 2.08/0.69 thf(f476,plain,(
% 2.08/0.69 ( ! [X0 : reg,X1 : reg] : (($true = ($true => (c @ X1 @ X0))) | ((c @ X1 @ X0) = $false)) )),
% 2.08/0.69 inference(superposition,[],[f219,f220])).
% 2.08/0.69 thf(f220,plain,(
% 2.08/0.69 ( ! [X2 : reg,X1 : reg] : (($true = (c @ X2 @ X1)) | ($false = (c @ X1 @ X2))) )),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f219])).
% 2.08/0.69 thf(f219,plain,(
% 2.08/0.69 ( ! [X2 : reg,X1 : reg] : ((((c @ X1 @ X2) => (c @ X2 @ X1)) = $true)) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f218])).
% 2.08/0.69 thf(f218,plain,(
% 2.08/0.69 ( ! [X2 : reg,X1 : reg] : ((((^[Y0 : reg]: ((c @ X1 @ Y0) => (c @ Y0 @ X1))) @ X2) = $true)) )),
% 2.08/0.69 inference(pi_clausification,[],[f217])).
% 2.08/0.69 thf(f217,plain,(
% 2.08/0.69 ( ! [X1 : reg] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ X1 @ Y0) => (c @ Y0 @ X1)))))) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f216])).
% 2.08/0.69 thf(f216,plain,(
% 2.08/0.69 ( ! [X1 : reg] : ((((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y0 @ Y1) => (c @ Y1 @ Y0))))) @ X1) = $true)) )),
% 2.08/0.69 inference(pi_clausification,[],[f169])).
% 2.08/0.69 thf(f169,plain,(
% 2.08/0.69 ((!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y0 @ Y1) => (c @ Y1 @ Y0)))))) = $true)),
% 2.08/0.69 inference(cnf_transformation,[],[f102])).
% 2.08/0.69 thf(f102,plain,(
% 2.08/0.69 ((!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y0 @ Y1) => (c @ Y1 @ Y0)))))) = $true)),
% 2.08/0.69 inference(fool_elimination,[],[f101])).
% 2.08/0.69 thf(f101,plain,(
% 2.08/0.69 ! [X0 : reg,X1 : reg] : ((c @ X1 @ X0) => (c @ X0 @ X1))),
% 2.08/0.69 inference(rectify,[],[f33])).
% 2.08/0.69 thf(f33,axiom,(
% 2.08/0.69 ! [X1 : reg,X0 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_symmetric)).
% 2.08/0.69 thf(f2285,plain,(
% 2.08/0.69 spl0_4 | ~spl0_16),
% 2.08/0.69 inference(avatar_split_clause,[],[f2284,f1055,f281])).
% 2.08/0.69 thf(f281,plain,(
% 2.08/0.69 spl0_4 <=> ! [X2,X1] : ((~ (fool @ X1 @ X2)) = $true)),
% 2.08/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 2.08/0.69 thf(f1055,plain,(
% 2.08/0.69 spl0_16 <=> ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $false)),
% 2.08/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 2.08/0.69 thf(f2284,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : (((~ (fool @ X1 @ X2)) = $true)) ) | ~spl0_16),
% 2.08/0.69 inference(boolean_simplification,[],[f2283])).
% 2.08/0.69 thf(f2283,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (fool @ X1 @ X2)) | $false))) ) | ~spl0_16),
% 2.08/0.69 inference(boolean_simplification,[],[f2282])).
% 2.08/0.69 thf(f2282,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : ((((~ (fool @ X1 @ X2)) | ($false & (c @ spain @ france))) = $true)) ) | ~spl0_16),
% 2.08/0.69 inference(boolean_simplification,[],[f2281])).
% 2.08/0.69 thf(f2281,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : ((((~ (fool @ X1 @ X2)) | ((~ $true) & (c @ spain @ france))) = $true)) ) | ~spl0_16),
% 2.08/0.69 inference(forward_demodulation,[],[f1082,f1550])).
% 2.08/0.69 thf(f1550,plain,(
% 2.08/0.69 ($true = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) | ~spl0_16),
% 2.08/0.69 inference(not_proxy_clausification,[],[f1056])).
% 2.08/0.69 thf(f1056,plain,(
% 2.08/0.69 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $false) | ~spl0_16),
% 2.08/0.69 inference(avatar_component_clause,[],[f1055])).
% 2.08/0.69 thf(f1082,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (fool @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france))))) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f1081])).
% 2.08/0.69 thf(f1081,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france)))) @ X2))) )),
% 2.08/0.69 inference(pi_clausification,[],[f273])).
% 2.08/0.69 thf(f273,plain,(
% 2.08/0.69 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france))))) = $true)) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f272])).
% 2.08/0.69 thf(f272,plain,(
% 2.08/0.69 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ spain @ france)))))) @ X1) = $true)) )),
% 2.08/0.69 inference(pi_clausification,[],[f213])).
% 2.08/0.69 thf(f213,plain,(
% 2.08/0.69 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ spain @ france))))))))),
% 2.08/0.69 inference(beta_eta_normalization,[],[f207])).
% 2.08/0.69 thf(f207,plain,(
% 2.08/0.69 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ fool @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4))))))) @ Y1 @ Y2)) & (c @ Y1 @ Y2))))) @ spain @ france)))))),
% 2.08/0.69 inference(definition_unfolding,[],[f158,f156,f147,f200])).
% 2.08/0.69 thf(f158,plain,(
% 2.08/0.69 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
% 2.08/0.69 inference(cnf_transformation,[],[f118])).
% 2.08/0.69 thf(f118,plain,(
% 2.08/0.69 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
% 2.08/0.69 inference(fool_elimination,[],[f117])).
% 2.08/0.69 thf(f117,plain,(
% 2.08/0.69 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
% 2.08/0.69 inference(rectify,[],[f45])).
% 2.08/0.69 thf(f45,axiom,(
% 2.08/0.69 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
% 2.08/0.69 thf(f2271,plain,(
% 2.08/0.69 ~spl0_4),
% 2.08/0.69 inference(avatar_contradiction_clause,[],[f2270])).
% 2.08/0.69 thf(f2270,plain,(
% 2.08/0.69 $false | ~spl0_4),
% 2.08/0.69 inference(trivial_inequality_removal,[],[f2269])).
% 2.08/0.69 thf(f2269,plain,(
% 2.08/0.69 ($false = $true) | ~spl0_4),
% 2.08/0.69 inference(boolean_simplification,[],[f2268])).
% 2.08/0.69 thf(f2268,plain,(
% 2.08/0.69 ($true = (~ $true)) | ~spl0_4),
% 2.08/0.69 inference(forward_demodulation,[],[f2266,f2245])).
% 2.08/0.69 thf(f2245,plain,(
% 2.08/0.69 ( ! [X0 : $i > $o] : (((X0 @ sK4) = $true)) ) | ~spl0_4),
% 2.08/0.69 inference(boolean_simplification,[],[f2244])).
% 2.08/0.69 thf(f2244,plain,(
% 2.08/0.69 ( ! [X0 : $i > $o] : (($true = ($false | (X0 @ sK4)))) ) | ~spl0_4),
% 2.08/0.69 inference(boolean_simplification,[],[f2243])).
% 2.08/0.69 thf(f2243,plain,(
% 2.08/0.69 ( ! [X0 : $i > $o] : (($true = ((~ $true) | (X0 @ sK4)))) ) | ~spl0_4),
% 2.08/0.69 inference(superposition,[],[f2233,f243])).
% 2.08/0.69 thf(f243,plain,(
% 2.08/0.69 ((a @ sK2 @ sK4) = $true)),
% 2.08/0.69 inference(not_proxy_clausification,[],[f242])).
% 2.08/0.69 thf(f242,plain,(
% 2.08/0.69 ($false = (~ (a @ sK2 @ sK4)))),
% 2.08/0.69 inference(beta_eta_normalization,[],[f241])).
% 2.08/0.69 thf(f241,plain,(
% 2.08/0.69 ($false = ((^[Y0 : $i]: (~ (a @ sK2 @ Y0))) @ sK4))),
% 2.08/0.69 inference(sigma_clausification,[],[f237])).
% 2.08/0.69 thf(f237,plain,(
% 2.08/0.69 ((!! @ $i @ (^[Y0 : $i]: (~ (a @ sK2 @ Y0)))) = $false)),
% 2.08/0.69 inference(boolean_simplification,[],[f236])).
% 2.08/0.69 thf(f236,plain,(
% 2.08/0.69 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK2 @ Y0)) | $false))))),
% 2.08/0.69 inference(backward_demodulation,[],[f229,f235])).
% 2.08/0.69 thf(f235,plain,(
% 2.08/0.69 ($false = ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris))))),
% 2.08/0.69 inference(boolean_simplification,[],[f234])).
% 2.08/0.69 thf(f234,plain,(
% 2.08/0.69 ($false = ($false | ((~ (c @ spain @ paris)) & (~ (c @ catalunya @ paris)))))),
% 2.08/0.69 inference(backward_demodulation,[],[f231,f233])).
% 2.08/0.69 thf(f2233,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X3)) | (X2 @ X3)))) ) | ~spl0_4),
% 2.08/0.69 inference(beta_eta_normalization,[],[f2232])).
% 2.08/0.69 thf(f2232,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0))) @ X3) = $true)) ) | ~spl0_4),
% 2.08/0.69 inference(pi_clausification,[],[f2223])).
% 2.08/0.69 thf(f2223,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) ) | ~spl0_4),
% 2.08/0.69 inference(trivial_inequality_removal,[],[f2222])).
% 2.08/0.69 thf(f2222,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | ($false = $true)) ) | ~spl0_4),
% 2.08/0.69 inference(boolean_simplification,[],[f2221])).
% 2.08/0.69 thf(f2221,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X1 : $i] : (($false = ($true | (X2 @ (sK22 @ X1 @ X2)))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) ) | ~spl0_4),
% 2.08/0.69 inference(boolean_simplification,[],[f2220])).
% 2.08/0.69 thf(f2220,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X1 : $i] : ((((~ $false) | (X2 @ (sK22 @ X1 @ X2))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) ) | ~spl0_4),
% 2.08/0.69 inference(forward_demodulation,[],[f2219,f1028])).
% 2.08/0.69 thf(f1028,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : (((fool @ X1 @ X2) = $false)) ) | ~spl0_4),
% 2.08/0.69 inference(not_proxy_clausification,[],[f282])).
% 2.08/0.69 thf(f282,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : (((~ (fool @ X1 @ X2)) = $true)) ) | ~spl0_4),
% 2.08/0.69 inference(avatar_component_clause,[],[f281])).
% 2.08/0.69 thf(f2219,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | ($false = ((~ (fool @ X1 @ (sK22 @ X1 @ X2))) | (X2 @ (sK22 @ X1 @ X2))))) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f2212])).
% 2.08/0.69 thf(f2212,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | ($false = ((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))) @ (sK22 @ X1 @ X2)))) )),
% 2.08/0.69 inference(sigma_clausification,[],[f1025])).
% 2.08/0.69 thf(f1025,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) )),
% 2.08/0.69 inference(not_proxy_clausification,[],[f271])).
% 2.08/0.69 thf(f271,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) )),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f270])).
% 2.08/0.69 thf(f270,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (X2 @ Y0))))))) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f269])).
% 2.08/0.69 thf(f269,plain,(
% 2.08/0.69 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (a @ X1 @ Y1)) | (Y0 @ Y1)))))) @ X2))) )),
% 2.08/0.69 inference(pi_clausification,[],[f268])).
% 2.08/0.69 thf(f268,plain,(
% 2.08/0.69 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (a @ X1 @ Y1)) | (Y0 @ Y1))))))) = $true)) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f267])).
% 2.08/0.69 thf(f267,plain,(
% 2.08/0.69 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (a @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ X1))) )),
% 2.08/0.69 inference(pi_clausification,[],[f210])).
% 2.08/0.69 thf(f210,plain,(
% 2.08/0.69 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (a @ Y0 @ Y2)) | (Y1 @ Y2))))))))) = $true)),
% 2.08/0.69 inference(beta_eta_normalization,[],[f205])).
% 2.08/0.69 thf(f205,plain,(
% 2.08/0.69 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ fool @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ a @ Y0))))) = $true)),
% 2.08/0.69 inference(definition_unfolding,[],[f146,f156,f142,f189,f147,f147])).
% 2.08/0.69 thf(f189,plain,(
% 2.08/0.69 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 2.08/0.69 inference(definition_unfolding,[],[f185,f148,f175])).
% 2.08/0.69 thf(f175,plain,(
% 2.08/0.69 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f134])).
% 2.08/0.69 thf(f134,plain,(
% 2.08/0.69 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.08/0.69 inference(fool_elimination,[],[f133])).
% 2.08/0.69 thf(f133,plain,(
% 2.08/0.69 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 2.08/0.69 inference(rectify,[],[f3])).
% 2.08/0.69 thf(f3,axiom,(
% 2.08/0.69 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 2.08/0.69 thf(f148,plain,(
% 2.08/0.69 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f106])).
% 2.08/0.69 thf(f106,plain,(
% 2.08/0.69 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 2.08/0.69 inference(fool_elimination,[],[f105])).
% 2.08/0.69 thf(f105,plain,(
% 2.08/0.69 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 2.08/0.69 inference(rectify,[],[f4])).
% 2.08/0.69 thf(f4,axiom,(
% 2.08/0.69 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 2.08/0.69 thf(f185,plain,(
% 2.08/0.69 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.08/0.69 inference(cnf_transformation,[],[f96])).
% 2.08/0.69 thf(f96,plain,(
% 2.08/0.69 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.08/0.69 inference(fool_elimination,[],[f95])).
% 2.08/0.69 thf(f95,plain,(
% 2.08/0.69 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 2.08/0.69 inference(rectify,[],[f6])).
% 2.08/0.69 thf(f6,axiom,(
% 2.08/0.69 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 2.08/0.69 thf(f142,plain,(
% 2.08/0.69 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f110])).
% 2.08/0.69 thf(f110,plain,(
% 2.08/0.69 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 2.08/0.69 inference(fool_elimination,[],[f109])).
% 2.08/0.69 thf(f109,plain,(
% 2.08/0.69 (mforall_prop = (^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))))),
% 2.08/0.69 inference(rectify,[],[f11])).
% 2.08/0.69 thf(f11,axiom,(
% 2.08/0.69 (mforall_prop = (^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop)).
% 2.08/0.69 thf(f146,plain,(
% 2.08/0.69 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ (mbox @ a @ Y0))))) = $true)),
% 2.08/0.69 inference(cnf_transformation,[],[f138])).
% 2.08/0.69 thf(f138,plain,(
% 2.08/0.69 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ (mbox @ a @ Y0))))) = $true)),
% 2.08/0.69 inference(fool_elimination,[],[f137])).
% 2.08/0.69 thf(f137,plain,(
% 2.08/0.69 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ fool @ X0) @ (mbox @ a @ X0)))))),
% 2.08/0.69 inference(rectify,[],[f43])).
% 2.08/0.69 thf(f43,axiom,(
% 2.08/0.69 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ fool @ X3) @ (mbox @ a @ X3)))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_axiom_for_fool_a)).
% 2.08/0.69 thf(f2266,plain,(
% 2.08/0.69 ( ! [X3 : $i > $o] : (($true = (~ (X3 @ sK4)))) ) | ~spl0_4),
% 2.08/0.69 inference(beta_eta_normalization,[],[f2256])).
% 2.08/0.69 thf(f2256,plain,(
% 2.08/0.69 ( ! [X3 : $i > $o] : (($true = ((^[Y0 : $i]: (~ (X3 @ Y0))) @ sK4))) ) | ~spl0_4),
% 2.08/0.69 inference(primitive_instantiation,[],[f2245])).
% 2.08/0.69 thf(f1342,plain,(
% 2.08/0.69 spl0_16 | spl0_15 | ~spl0_2 | ~spl0_5),
% 2.08/0.69 inference(avatar_split_clause,[],[f1341,f320,f251,f1052,f1055])).
% 2.08/0.69 thf(f251,plain,(
% 2.08/0.69 spl0_2 <=> ((~ (c @ catalunya @ paris)) = $false)),
% 2.08/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 2.08/0.69 thf(f320,plain,(
% 2.08/0.69 spl0_5 <=> (((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true)),
% 2.08/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 2.08/0.69 thf(f1341,plain,(
% 2.08/0.69 ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) | ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $false) | (~spl0_2 | ~spl0_5)),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f1102])).
% 2.08/0.69 thf(f1102,plain,(
% 2.08/0.69 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) = $false) | (~spl0_2 | ~spl0_5)),
% 2.08/0.69 inference(boolean_simplification,[],[f1100])).
% 2.08/0.69 thf(f1100,plain,(
% 2.08/0.69 ($false = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & $true))) | (~spl0_2 | ~spl0_5)),
% 2.08/0.69 inference(backward_demodulation,[],[f1098,f1097])).
% 2.08/0.69 thf(f1097,plain,(
% 2.08/0.69 ($true = (c @ spain @ france)) | (~spl0_2 | ~spl0_5)),
% 2.08/0.69 inference(boolean_simplification,[],[f1092])).
% 2.08/0.69 thf(f1092,plain,(
% 2.08/0.69 ($true = ($true => (c @ spain @ france))) | (~spl0_2 | ~spl0_5)),
% 2.08/0.69 inference(superposition,[],[f615,f1089])).
% 2.08/0.69 thf(f1089,plain,(
% 2.08/0.69 ($true = (c @ spain @ paris)) | (~spl0_2 | ~spl0_5)),
% 2.08/0.69 inference(boolean_simplification,[],[f1087])).
% 2.08/0.69 thf(f1087,plain,(
% 2.08/0.69 (($true => (c @ spain @ paris)) = $true) | (~spl0_2 | ~spl0_5)),
% 2.08/0.69 inference(superposition,[],[f219,f1080])).
% 2.08/0.69 thf(f1080,plain,(
% 2.08/0.69 ($true = (c @ paris @ spain)) | (~spl0_2 | ~spl0_5)),
% 2.08/0.69 inference(boolean_simplification,[],[f1075])).
% 2.08/0.69 thf(f1075,plain,(
% 2.08/0.69 (($true => (c @ paris @ spain)) = $true) | (~spl0_2 | ~spl0_5)),
% 2.08/0.69 inference(superposition,[],[f384,f1072])).
% 2.08/0.69 thf(f1072,plain,(
% 2.08/0.69 ($true = (c @ paris @ catalunya)) | ~spl0_2),
% 2.08/0.69 inference(boolean_simplification,[],[f1067])).
% 2.08/0.69 thf(f1067,plain,(
% 2.08/0.69 (($true => (c @ paris @ catalunya)) = $true) | ~spl0_2),
% 2.08/0.69 inference(superposition,[],[f219,f1060])).
% 2.08/0.69 thf(f1060,plain,(
% 2.08/0.69 ($true = (c @ catalunya @ paris)) | ~spl0_2),
% 2.08/0.69 inference(not_proxy_clausification,[],[f252])).
% 2.08/0.69 thf(f252,plain,(
% 2.08/0.69 ((~ (c @ catalunya @ paris)) = $false) | ~spl0_2),
% 2.08/0.69 inference(avatar_component_clause,[],[f251])).
% 2.08/0.69 thf(f384,plain,(
% 2.08/0.69 ( ! [X1 : reg] : (($true = ((c @ X1 @ catalunya) => (c @ X1 @ spain)))) ) | ~spl0_5),
% 2.08/0.69 inference(beta_eta_normalization,[],[f381])).
% 2.08/0.69 thf(f381,plain,(
% 2.08/0.69 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X1) = $true)) ) | ~spl0_5),
% 2.08/0.69 inference(pi_clausification,[],[f337])).
% 2.08/0.69 thf(f337,plain,(
% 2.08/0.69 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))) | ~spl0_5),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f335])).
% 2.08/0.69 thf(f335,plain,(
% 2.08/0.69 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) | ~spl0_5),
% 2.08/0.69 inference(boolean_simplification,[],[f334])).
% 2.08/0.69 thf(f334,plain,(
% 2.08/0.69 (($true & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true) | ~spl0_5),
% 2.08/0.69 inference(backward_demodulation,[],[f321,f333])).
% 2.08/0.69 thf(f333,plain,(
% 2.08/0.69 ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain))))) = $true) | ~spl0_5),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f321])).
% 2.08/0.69 thf(f321,plain,(
% 2.08/0.69 (((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true) | ~spl0_5),
% 2.08/0.69 inference(avatar_component_clause,[],[f320])).
% 2.08/0.69 thf(f1098,plain,(
% 2.08/0.69 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france))) = $false) | (~spl0_2 | ~spl0_5)),
% 2.08/0.69 inference(boolean_simplification,[],[f1093])).
% 2.08/0.69 thf(f1093,plain,(
% 2.08/0.69 ($false = (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & $true) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)))) | (~spl0_2 | ~spl0_5)),
% 2.08/0.69 inference(superposition,[],[f547,f1089])).
% 2.08/0.69 thf(f547,plain,(
% 2.08/0.69 ( ! [X1 : reg] : (($false = (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (c @ X1 @ paris)) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ X1)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ X1 @ france))))) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f546])).
% 2.08/0.69 thf(f546,plain,(
% 2.08/0.69 ( ! [X1 : reg] : (($false = ((^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))) @ X1))) )),
% 2.08/0.69 inference(pi_clausification,[],[f539])).
% 2.08/0.69 thf(f539,plain,(
% 2.08/0.69 ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france))))) = $false)),
% 2.08/0.69 inference(not_proxy_clausification,[],[f534])).
% 2.08/0.69 thf(f534,plain,(
% 2.08/0.69 ((~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))))) = $true)),
% 2.08/0.69 inference(boolean_simplification,[],[f533])).
% 2.08/0.69 thf(f533,plain,(
% 2.08/0.69 (($true & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france))))))) = $true)),
% 2.08/0.69 inference(backward_demodulation,[],[f373,f532])).
% 2.08/0.69 thf(f1057,plain,(
% 2.08/0.69 spl0_15 | spl0_16 | ~spl0_1),
% 2.08/0.69 inference(avatar_split_clause,[],[f1050,f248,f1055,f1052])).
% 2.08/0.69 thf(f248,plain,(
% 2.08/0.69 spl0_1 <=> ((~ (c @ spain @ paris)) = $false)),
% 2.08/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 2.08/0.69 thf(f1050,plain,(
% 2.08/0.69 ($false = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))) | ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $false) | ~spl0_1),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f1022])).
% 2.08/0.69 thf(f1022,plain,(
% 2.08/0.69 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) = $false) | ~spl0_1),
% 2.08/0.69 inference(boolean_simplification,[],[f1021])).
% 2.08/0.69 thf(f1021,plain,(
% 2.08/0.69 ($false = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & $true))) | ~spl0_1),
% 2.08/0.69 inference(forward_demodulation,[],[f869,f868])).
% 2.08/0.69 thf(f868,plain,(
% 2.08/0.69 ($true = (c @ spain @ france)) | ~spl0_1),
% 2.08/0.69 inference(boolean_simplification,[],[f864])).
% 2.08/0.69 thf(f864,plain,(
% 2.08/0.69 ($true = ($true => (c @ spain @ france))) | ~spl0_1),
% 2.08/0.69 inference(superposition,[],[f615,f857])).
% 2.08/0.69 thf(f857,plain,(
% 2.08/0.69 ($true = (c @ spain @ paris)) | ~spl0_1),
% 2.08/0.69 inference(not_proxy_clausification,[],[f249])).
% 2.08/0.69 thf(f249,plain,(
% 2.08/0.69 ((~ (c @ spain @ paris)) = $false) | ~spl0_1),
% 2.08/0.69 inference(avatar_component_clause,[],[f248])).
% 2.08/0.69 thf(f869,plain,(
% 2.08/0.69 (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france))) = $false) | ~spl0_1),
% 2.08/0.69 inference(boolean_simplification,[],[f865])).
% 2.08/0.69 thf(f865,plain,(
% 2.08/0.69 ($false = (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & $true) & ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)))) | ~spl0_1),
% 2.08/0.69 inference(superposition,[],[f547,f857])).
% 2.08/0.69 thf(f327,plain,(
% 2.08/0.69 spl0_5),
% 2.08/0.69 inference(avatar_split_clause,[],[f316,f320])).
% 2.08/0.69 thf(f316,plain,(
% 2.08/0.69 (((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true)),
% 2.08/0.69 inference(boolean_simplification,[],[f315])).
% 2.08/0.69 thf(f315,plain,(
% 2.08/0.69 (($false | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) = $true)),
% 2.08/0.69 inference(boolean_simplification,[],[f314])).
% 2.08/0.69 thf(f314,plain,(
% 2.08/0.69 (((~ $true) | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) = $true)),
% 2.08/0.69 inference(superposition,[],[f311,f243])).
% 2.08/0.69 thf(f311,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | ((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))))) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f310])).
% 2.08/0.69 thf(f310,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ Y1 @ spain))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))))))) @ X2))) )),
% 2.08/0.69 inference(pi_clausification,[],[f309])).
% 2.08/0.69 thf(f309,plain,(
% 2.08/0.69 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ Y1 @ spain))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))))))) = $true)) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f308])).
% 2.08/0.69 thf(f308,plain,(
% 2.08/0.69 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))) & (c @ Y2 @ spain))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))))))))) @ X1) = $true)) )),
% 2.08/0.69 inference(pi_clausification,[],[f209])).
% 2.08/0.69 thf(f209,plain,(
% 2.08/0.69 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))) & (c @ Y2 @ spain))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))))))))) = $true)),
% 2.08/0.69 inference(beta_eta_normalization,[],[f206])).
% 2.08/0.69 thf(f206,plain,(
% 2.08/0.69 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2)))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ catalunya @ spain)))))),
% 2.08/0.69 inference(definition_unfolding,[],[f150,f156,f147,f202])).
% 2.08/0.69 thf(f202,plain,(
% 2.08/0.69 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1)))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))),
% 2.08/0.69 inference(definition_unfolding,[],[f170,f200,f200,f201])).
% 2.08/0.69 thf(f170,plain,(
% 2.08/0.69 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 2.08/0.69 inference(cnf_transformation,[],[f92])).
% 2.08/0.69 thf(f92,plain,(
% 2.08/0.69 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 2.08/0.69 inference(fool_elimination,[],[f91])).
% 2.08/0.69 thf(f91,plain,(
% 2.08/0.69 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))) = tpp)),
% 2.08/0.69 inference(rectify,[],[f41])).
% 2.08/0.69 thf(f41,axiom,(
% 2.08/0.69 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))) = tpp)),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tpp)).
% 2.08/0.69 thf(f150,plain,(
% 2.08/0.69 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 2.08/0.69 inference(cnf_transformation,[],[f81])).
% 2.08/0.69 thf(f81,plain,(
% 2.08/0.69 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 2.08/0.69 inference(fool_elimination,[],[f80])).
% 2.08/0.69 thf(f80,plain,(
% 2.08/0.69 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 2.08/0.69 inference(rectify,[],[f44])).
% 2.08/0.69 thf(f44,axiom,(
% 2.08/0.69 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 2.08/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 2.08/0.69 thf(f283,plain,(
% 2.08/0.69 spl0_3 | spl0_4),
% 2.08/0.69 inference(avatar_split_clause,[],[f276,f281,f278])).
% 2.08/0.69 thf(f276,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : ((((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)) = $true) | ((~ (fool @ X1 @ X2)) = $true)) )),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f275])).
% 2.08/0.69 thf(f275,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (fool @ X1 @ X2)) | ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france))))) )),
% 2.08/0.69 inference(beta_eta_normalization,[],[f274])).
% 2.08/0.69 thf(f274,plain,(
% 2.08/0.69 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france)))) @ X2))) )),
% 2.08/0.69 inference(pi_clausification,[],[f273])).
% 2.08/0.69 thf(f253,plain,(
% 2.08/0.69 spl0_1 | spl0_2),
% 2.08/0.69 inference(avatar_split_clause,[],[f246,f251,f248])).
% 2.08/0.69 thf(f246,plain,(
% 2.08/0.69 ((~ (c @ spain @ paris)) = $false) | ((~ (c @ catalunya @ paris)) = $false)),
% 2.08/0.69 inference(binary_proxy_clausification,[],[f235])).
% 2.08/0.69 % SZS output end Proof for theBenchmark
% 2.08/0.69 % (7626)------------------------------
% 2.08/0.69 % (7626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.08/0.69 % (7626)Termination reason: Refutation
% 2.08/0.69
% 2.08/0.69 % (7626)Memory used [KB]: 7419
% 2.08/0.69 % (7626)Time elapsed: 0.249 s
% 2.08/0.69 % (7626)Instructions burned: 499 (million)
% 2.08/0.69 % (7626)------------------------------
% 2.08/0.69 % (7626)------------------------------
% 2.08/0.69 % (7614)Success in time 0.305 s
% 2.08/0.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------