TSTP Solution File: GEG016^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG016^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 19:57:09 EDT 2024
% Result : Theorem 0.26s 0.52s
% Output : Refutation 0.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : GEG016^1 : TPTP v8.2.0. Released v4.1.0.
% 0.09/0.17 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.19/0.40 % Computer : n011.cluster.edu
% 0.19/0.40 % Model : x86_64 x86_64
% 0.19/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40 % Memory : 8042.1875MB
% 0.19/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40 % CPULimit : 300
% 0.19/0.40 % WCLimit : 300
% 0.19/0.40 % DateTime : Sat May 18 21:55:08 EDT 2024
% 0.19/0.40 % CPUTime :
% 0.19/0.40 This is a TH0_THM_EQU_NAR problem
% 0.19/0.40 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/0.42 % (29362)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.26/0.42 % (29367)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)
% 0.26/0.42 % (29368)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.26/0.42 % (29363)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)
% 0.26/0.42 % (29366)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)
% 0.26/0.42 % (29369)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)
% 0.26/0.42 % (29366)Instruction limit reached!
% 0.26/0.42 % (29366)------------------------------
% 0.26/0.42 % (29366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.42 % (29366)Termination reason: Unknown
% 0.26/0.42 % (29366)Termination phase: shuffling
% 0.26/0.42
% 0.26/0.42 % (29366)Memory used [KB]: 1023
% 0.26/0.42 % (29366)Time elapsed: 0.003 s
% 0.26/0.42 % (29366)Instructions burned: 2 (million)
% 0.26/0.42 % (29366)------------------------------
% 0.26/0.42 % (29366)------------------------------
% 0.26/0.43 % (29364)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)
% 0.26/0.43 % (29363)Instruction limit reached!
% 0.26/0.43 % (29363)------------------------------
% 0.26/0.43 % (29363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.43 % (29363)Termination reason: Unknown
% 0.26/0.43 % (29363)Termination phase: Property scanning
% 0.26/0.43
% 0.26/0.43 % (29363)Memory used [KB]: 1151
% 0.26/0.43 % (29363)Time elapsed: 0.004 s
% 0.26/0.43 % (29363)Instructions burned: 5 (million)
% 0.26/0.43 % (29363)------------------------------
% 0.26/0.43 % (29363)------------------------------
% 0.26/0.43 % (29369)Instruction limit reached!
% 0.26/0.43 % (29369)------------------------------
% 0.26/0.43 % (29369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.43 % (29369)Termination reason: Unknown
% 0.26/0.43 % (29369)Termination phase: shuffling
% 0.26/0.43
% 0.26/0.43 % (29369)Memory used [KB]: 1023
% 0.26/0.43 % (29369)Time elapsed: 0.005 s
% 0.26/0.43 % (29369)Instructions burned: 3 (million)
% 0.26/0.43 % (29369)------------------------------
% 0.26/0.43 % (29369)------------------------------
% 0.26/0.43 % (29367)Refutation not found, incomplete strategy
% 0.26/0.43 % (29367)------------------------------
% 0.26/0.43 % (29367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.43 % (29367)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.43
% 0.26/0.43
% 0.26/0.43 % (29367)Memory used [KB]: 5628
% 0.26/0.43 % (29367)Time elapsed: 0.009 s
% 0.26/0.43 % (29367)Instructions burned: 12 (million)
% 0.26/0.43 % (29367)------------------------------
% 0.26/0.43 % (29367)------------------------------
% 0.26/0.43 % (29368)Instruction limit reached!
% 0.26/0.43 % (29368)------------------------------
% 0.26/0.43 % (29368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.43 % (29368)Termination reason: Unknown
% 0.26/0.43 % (29368)Termination phase: Saturation
% 0.26/0.43
% 0.26/0.43 % (29368)Memory used [KB]: 5628
% 0.26/0.43 % (29368)Time elapsed: 0.011 s
% 0.26/0.43 % (29368)Instructions burned: 18 (million)
% 0.26/0.43 % (29368)------------------------------
% 0.26/0.43 % (29368)------------------------------
% 0.26/0.44 % (29365)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.26/0.44 % (29365)Instruction limit reached!
% 0.26/0.44 % (29365)------------------------------
% 0.26/0.44 % (29365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.44 % (29365)Termination reason: Unknown
% 0.26/0.44 % (29365)Termination phase: shuffling
% 0.26/0.44
% 0.26/0.44 % (29365)Memory used [KB]: 1023
% 0.26/0.44 % (29365)Time elapsed: 0.004 s
% 0.26/0.44 % (29365)Instructions burned: 3 (million)
% 0.26/0.44 % (29365)------------------------------
% 0.26/0.44 % (29365)------------------------------
% 0.26/0.44 % (29364)Instruction limit reached!
% 0.26/0.44 % (29364)------------------------------
% 0.26/0.44 % (29364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.44 % (29364)Termination reason: Unknown
% 0.26/0.44 % (29364)Termination phase: Saturation
% 0.26/0.44
% 0.26/0.44 % (29364)Memory used [KB]: 5756
% 0.26/0.44 % (29364)Time elapsed: 0.016 s
% 0.26/0.44 % (29364)Instructions burned: 28 (million)
% 0.26/0.44 % (29364)------------------------------
% 0.26/0.44 % (29364)------------------------------
% 0.26/0.44 % (29370)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)
% 0.26/0.44 % (29372)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)
% 0.26/0.44 % (29371)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)
% 0.26/0.44 % (29372)Instruction limit reached!
% 0.26/0.44 % (29372)------------------------------
% 0.26/0.44 % (29372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.44 % (29372)Termination reason: Unknown
% 0.26/0.44 % (29372)Termination phase: shuffling
% 0.26/0.44
% 0.26/0.44 % (29372)Memory used [KB]: 1023
% 0.26/0.44 % (29372)Time elapsed: 0.004 s
% 0.26/0.44 % (29372)Instructions burned: 4 (million)
% 0.26/0.45 % (29372)------------------------------
% 0.26/0.45 % (29372)------------------------------
% 0.26/0.45 % (29374)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.26/0.45 % (29374)Instruction limit reached!
% 0.26/0.45 % (29374)------------------------------
% 0.26/0.45 % (29374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.45 % (29374)Termination reason: Unknown
% 0.26/0.45 % (29374)Termination phase: Property scanning
% 0.26/0.45
% 0.26/0.45 % (29374)Memory used [KB]: 1151
% 0.26/0.45 % (29374)Time elapsed: 0.005 s
% 0.26/0.45 % (29374)Instructions burned: 7 (million)
% 0.26/0.45 % (29374)------------------------------
% 0.26/0.45 % (29374)------------------------------
% 0.26/0.45 % (29371)Instruction limit reached!
% 0.26/0.45 % (29371)------------------------------
% 0.26/0.45 % (29371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.45 % (29371)Termination reason: Unknown
% 0.26/0.45 % (29371)Termination phase: Saturation
% 0.26/0.45
% 0.26/0.45 % (29371)Memory used [KB]: 1151
% 0.26/0.45 % (29371)Time elapsed: 0.009 s
% 0.26/0.45 % (29371)Instructions burned: 15 (million)
% 0.26/0.45 % (29371)------------------------------
% 0.26/0.45 % (29371)------------------------------
% 0.26/0.45 % (29375)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.26/0.45 % (29373)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)
% 0.26/0.46 % (29376)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)
% 0.26/0.46 % (29376)Instruction limit reached!
% 0.26/0.46 % (29376)------------------------------
% 0.26/0.46 % (29376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.46 % (29376)Termination reason: Unknown
% 0.26/0.46 % (29376)Termination phase: shuffling
% 0.26/0.46
% 0.26/0.46 % (29376)Memory used [KB]: 1023
% 0.26/0.46 % (29376)Time elapsed: 0.004 s
% 0.26/0.46 % (29376)Instructions burned: 3 (million)
% 0.26/0.46 % (29376)------------------------------
% 0.26/0.46 % (29376)------------------------------
% 0.26/0.46 % (29370)Instruction limit reached!
% 0.26/0.46 % (29370)------------------------------
% 0.26/0.46 % (29370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.46 % (29370)Termination reason: Unknown
% 0.26/0.46 % (29370)Termination phase: Saturation
% 0.26/0.46
% 0.26/0.46 % (29370)Memory used [KB]: 5884
% 0.26/0.46 % (29370)Time elapsed: 0.022 s
% 0.26/0.46 % (29370)Instructions burned: 37 (million)
% 0.26/0.46 % (29370)------------------------------
% 0.26/0.46 % (29370)------------------------------
% 0.26/0.46 % (29375)Instruction limit reached!
% 0.26/0.46 % (29375)------------------------------
% 0.26/0.46 % (29375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.46 % (29375)Termination reason: Unknown
% 0.26/0.46 % (29375)Termination phase: Saturation
% 0.26/0.46
% 0.26/0.46 % (29375)Memory used [KB]: 5628
% 0.26/0.46 % (29375)Time elapsed: 0.011 s
% 0.26/0.46 % (29375)Instructions burned: 17 (million)
% 0.26/0.46 % (29375)------------------------------
% 0.26/0.46 % (29375)------------------------------
% 0.26/0.47 % (29378)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)
% 0.26/0.47 % (29378)Instruction limit reached!
% 0.26/0.47 % (29378)------------------------------
% 0.26/0.47 % (29378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.47 % (29378)Termination reason: Unknown
% 0.26/0.47 % (29378)Termination phase: Property scanning
% 0.26/0.47
% 0.26/0.47 % (29378)Memory used [KB]: 1151
% 0.26/0.47 % (29378)Time elapsed: 0.006 s
% 0.26/0.47 % (29378)Instructions burned: 8 (million)
% 0.26/0.47 % (29378)------------------------------
% 0.26/0.47 % (29378)------------------------------
% 0.26/0.47 % (29377)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)
% 0.26/0.47 % (29379)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)
% 0.26/0.48 % (29381)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)
% 0.26/0.48 % (29380)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.26/0.48 % (29379)Instruction limit reached!
% 0.26/0.48 % (29379)------------------------------
% 0.26/0.48 % (29379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.48 % (29379)Termination reason: Unknown
% 0.26/0.48 % (29379)Termination phase: shuffling
% 0.26/0.48
% 0.26/0.48 % (29379)Memory used [KB]: 1023
% 0.26/0.48 % (29379)Time elapsed: 0.003 s
% 0.26/0.48 % (29379)Instructions burned: 3 (million)
% 0.26/0.48 % (29379)------------------------------
% 0.26/0.48 % (29379)------------------------------
% 0.26/0.48 % (29377)Instruction limit reached!
% 0.26/0.48 % (29377)------------------------------
% 0.26/0.48 % (29377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.48 % (29377)Termination reason: Unknown
% 0.26/0.48 % (29377)Termination phase: shuffling
% 0.26/0.48
% 0.26/0.48 % (29377)Memory used [KB]: 1151
% 0.26/0.48 % (29377)Time elapsed: 0.004 s
% 0.26/0.48 % (29377)Instructions burned: 4 (million)
% 0.26/0.48 % (29377)------------------------------
% 0.26/0.48 % (29377)------------------------------
% 0.26/0.48 % (29380)Instruction limit reached!
% 0.26/0.48 % (29380)------------------------------
% 0.26/0.48 % (29380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.48 % (29380)Termination reason: Unknown
% 0.26/0.48 % (29380)Termination phase: shuffling
% 0.26/0.48
% 0.26/0.48 % (29380)Memory used [KB]: 1023
% 0.26/0.48 % (29380)Time elapsed: 0.004 s
% 0.26/0.48 % (29380)Instructions burned: 4 (million)
% 0.26/0.48 % (29380)------------------------------
% 0.26/0.48 % (29380)------------------------------
% 0.26/0.49 % (29383)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.26/0.49 % (29381)Instruction limit reached!
% 0.26/0.49 % (29381)------------------------------
% 0.26/0.49 % (29381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.49 % (29382)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.26/0.49 % (29381)Termination reason: Unknown
% 0.26/0.49 % (29381)Termination phase: Saturation
% 0.26/0.49
% 0.26/0.49 % (29381)Memory used [KB]: 5756
% 0.26/0.49 % (29381)Time elapsed: 0.012 s
% 0.26/0.49 % (29381)Instructions burned: 18 (million)
% 0.26/0.49 % (29381)------------------------------
% 0.26/0.49 % (29381)------------------------------
% 0.26/0.49 % (29383)Instruction limit reached!
% 0.26/0.49 % (29383)------------------------------
% 0.26/0.49 % (29383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.49 % (29383)Termination reason: Unknown
% 0.26/0.49 % (29383)Termination phase: Property scanning
% 0.26/0.49
% 0.26/0.49 % (29383)Memory used [KB]: 1151
% 0.26/0.49 % (29383)Time elapsed: 0.005 s
% 0.26/0.49 % (29383)Instructions burned: 7 (million)
% 0.26/0.49 % (29383)------------------------------
% 0.26/0.49 % (29383)------------------------------
% 0.26/0.49 % (29386)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.26/0.50 % (29386)Instruction limit reached!
% 0.26/0.50 % (29386)------------------------------
% 0.26/0.50 % (29386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.50 % (29386)Termination reason: Unknown
% 0.26/0.50 % (29386)Termination phase: shuffling
% 0.26/0.50
% 0.26/0.50 % (29386)Memory used [KB]: 1151
% 0.26/0.50 % (29386)Time elapsed: 0.004 s
% 0.26/0.50 % (29386)Instructions burned: 5 (million)
% 0.26/0.50 % (29386)------------------------------
% 0.26/0.50 % (29386)------------------------------
% 0.26/0.50 % (29385)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)
% 0.26/0.50 % (29387)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)
% 0.26/0.50 % (29384)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)
% 0.26/0.50 % (29388)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.26/0.50 % (29387)Instruction limit reached!
% 0.26/0.50 % (29387)------------------------------
% 0.26/0.50 % (29387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.50 % (29387)Termination reason: Unknown
% 0.26/0.50 % (29387)Termination phase: SInE selection
% 0.26/0.50
% 0.26/0.50 % (29387)Memory used [KB]: 1151
% 0.26/0.50 % (29387)Time elapsed: 0.005 s
% 0.26/0.50 % (29387)Instructions burned: 7 (million)
% 0.26/0.50 % (29387)------------------------------
% 0.26/0.50 % (29387)------------------------------
% 0.26/0.51 % (29385)Instruction limit reached!
% 0.26/0.51 % (29385)------------------------------
% 0.26/0.51 % (29385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.51 % (29385)Termination reason: Unknown
% 0.26/0.51 % (29385)Termination phase: Saturation
% 0.26/0.51
% 0.26/0.51 % (29385)Memory used [KB]: 5756
% 0.26/0.51 % (29385)Time elapsed: 0.036 s
% 0.26/0.51 % (29385)Instructions burned: 22 (million)
% 0.26/0.51 % (29385)------------------------------
% 0.26/0.51 % (29385)------------------------------
% 0.26/0.51 % (29389)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)
% 0.26/0.51 % (29384)Refutation not found, incomplete strategy
% 0.26/0.51 % (29384)------------------------------
% 0.26/0.51 % (29384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.51 % (29384)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.51
% 0.26/0.51
% 0.26/0.51 % (29384)Memory used [KB]: 5628
% 0.26/0.51 % (29384)Time elapsed: 0.035 s
% 0.26/0.51 % (29384)Instructions burned: 13 (million)
% 0.26/0.51 % (29384)------------------------------
% 0.26/0.51 % (29384)------------------------------
% 0.26/0.52 % (29362)First to succeed.
% 0.26/0.52 % (29362)Refutation found. Thanks to Tanya!
% 0.26/0.52 % SZS status Theorem for theBenchmark
% 0.26/0.52 % SZS output start Proof for theBenchmark
% 0.26/0.52 thf(type_def_5, type, mu: $tType).
% 0.26/0.52 thf(type_def_7, type, reg: $tType).
% 0.26/0.52 thf(func_def_0, type, mu: $tType).
% 0.26/0.52 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.26/0.52 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_15, type, mtrue: $i > $o).
% 0.26/0.52 thf(func_def_16, type, mfalse: $i > $o).
% 0.26/0.52 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.26/0.52 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.26/0.52 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.26/0.52 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.26/0.52 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.26/0.52 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.26/0.52 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.26/0.52 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.26/0.52 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.26/0.52 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.26/0.52 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.26/0.52 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.26/0.52 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.26/0.52 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.26/0.52 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.26/0.52 thf(func_def_33, type, reg: $tType).
% 0.26/0.52 thf(func_def_34, type, c: reg > reg > $o).
% 0.26/0.52 thf(func_def_35, type, dc: reg > reg > $o).
% 0.26/0.52 thf(func_def_36, type, p: reg > reg > $o).
% 0.26/0.52 thf(func_def_37, type, eq: reg > reg > $o).
% 0.26/0.52 thf(func_def_38, type, o: reg > reg > $o).
% 0.26/0.52 thf(func_def_39, type, po: reg > reg > $o).
% 0.26/0.52 thf(func_def_40, type, ec: reg > reg > $o).
% 0.26/0.52 thf(func_def_41, type, pp: reg > reg > $o).
% 0.26/0.52 thf(func_def_42, type, tpp: reg > reg > $o).
% 0.26/0.52 thf(func_def_43, type, ntpp: reg > reg > $o).
% 0.26/0.52 thf(func_def_44, type, catalunya: reg).
% 0.26/0.52 thf(func_def_45, type, france: reg).
% 0.26/0.52 thf(func_def_46, type, spain: reg).
% 0.26/0.52 thf(func_def_47, type, paris: reg).
% 0.26/0.52 thf(func_def_48, type, a: $i > $i > $o).
% 0.26/0.52 thf(func_def_49, type, fool: $i > $i > $o).
% 0.26/0.52 thf(func_def_66, type, sK1: reg).
% 0.26/0.52 thf(func_def_67, type, sK2: reg > reg).
% 0.26/0.52 thf(func_def_68, type, sK3: reg > reg).
% 0.26/0.52 thf(func_def_71, type, sK6: reg).
% 0.26/0.52 thf(func_def_72, type, sK7: reg).
% 0.26/0.52 thf(func_def_73, type, sK8: reg).
% 0.26/0.52 thf(func_def_74, type, sK9: $i > ($i > $o) > $i).
% 0.26/0.52 thf(func_def_75, type, sK10: reg).
% 0.26/0.52 thf(func_def_76, type, sK11: reg).
% 0.26/0.52 thf(func_def_77, type, sK12: reg > reg).
% 0.26/0.52 thf(func_def_78, type, sK13: reg > reg).
% 0.26/0.52 thf(func_def_79, type, sK14: reg > reg).
% 0.26/0.52 thf(func_def_80, type, sK15: reg > reg).
% 0.26/0.52 thf(func_def_81, type, sK16: $i > ($i > $o) > $i).
% 0.26/0.52 thf(func_def_82, type, sK17: reg > reg).
% 0.26/0.52 thf(func_def_83, type, sK18: reg > reg).
% 0.26/0.52 thf(func_def_84, type, sK19: reg > reg).
% 0.26/0.52 thf(func_def_85, type, sK20: $i > ($i > $o) > $i).
% 0.26/0.52 thf(func_def_86, type, ph21: !>[X0: $tType]:(X0)).
% 0.26/0.52 thf(f1282,plain,(
% 0.26/0.52 $false),
% 0.26/0.52 inference(avatar_sat_refutation,[],[f449,f453,f457,f461,f561,f686,f905,f949,f1209,f1281])).
% 0.26/0.52 thf(f1281,plain,(
% 0.26/0.52 ~spl0_4 | ~spl0_30 | spl0_31),
% 0.26/0.52 inference(avatar_contradiction_clause,[],[f1280])).
% 0.26/0.52 thf(f1280,plain,(
% 0.26/0.52 $false | (~spl0_4 | ~spl0_30 | spl0_31)),
% 0.26/0.52 inference(subsumption_resolution,[],[f1276,f902])).
% 0.26/0.52 thf(f902,plain,(
% 0.26/0.52 ($true != (c @ (sK17 @ sK8) @ sK8)) | spl0_31),
% 0.26/0.52 inference(avatar_component_clause,[],[f901])).
% 0.26/0.52 thf(f901,plain,(
% 0.26/0.52 spl0_31 <=> ($true = (c @ (sK17 @ sK8) @ sK8))),
% 0.26/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_31])])).
% 0.26/0.52 thf(f1276,plain,(
% 0.26/0.52 ($true = (c @ (sK17 @ sK8) @ sK8)) | (~spl0_4 | ~spl0_30)),
% 0.26/0.52 inference(trivial_inequality_removal,[],[f1261])).
% 0.26/0.52 thf(f1261,plain,(
% 0.26/0.52 ($true = (c @ (sK17 @ sK8) @ sK8)) | ($true = $false) | (~spl0_4 | ~spl0_30)),
% 0.26/0.52 inference(superposition,[],[f872,f899])).
% 0.26/0.52 thf(f899,plain,(
% 0.26/0.52 ((c @ (sK18 @ sK8) @ sK7) = $true) | ~spl0_30),
% 0.26/0.52 inference(avatar_component_clause,[],[f897])).
% 0.26/0.52 thf(f897,plain,(
% 0.26/0.52 spl0_30 <=> ((c @ (sK18 @ sK8) @ sK7) = $true)),
% 0.26/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])).
% 0.26/0.52 thf(f872,plain,(
% 0.26/0.52 ( ! [X0 : reg] : (((c @ (sK18 @ X0) @ sK7) = $false) | ((c @ (sK17 @ X0) @ X0) = $true)) ) | ~spl0_4),
% 0.26/0.52 inference(trivial_inequality_removal,[],[f868])).
% 0.26/0.52 thf(f868,plain,(
% 0.26/0.52 ( ! [X0 : reg] : (($true = $false) | ((c @ (sK18 @ X0) @ sK7) = $false) | ((c @ (sK17 @ X0) @ X0) = $true)) ) | ~spl0_4),
% 0.26/0.52 inference(superposition,[],[f298,f456])).
% 0.26/0.52 thf(f456,plain,(
% 0.26/0.52 ( ! [X3 : reg] : (((c @ (sK18 @ X3) @ france) = $false) | ((c @ (sK17 @ X3) @ X3) = $true)) ) | ~spl0_4),
% 0.26/0.52 inference(avatar_component_clause,[],[f455])).
% 0.26/0.52 thf(f455,plain,(
% 0.26/0.52 spl0_4 <=> ! [X3 : reg] : (((c @ (sK18 @ X3) @ france) = $false) | ((c @ (sK17 @ X3) @ X3) = $true))),
% 0.26/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.26/0.52 thf(f298,plain,(
% 0.26/0.52 ( ! [X1 : reg] : (($true = (c @ X1 @ france)) | ((c @ X1 @ sK7) = $false)) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f297])).
% 0.26/0.52 thf(f297,plain,(
% 0.26/0.52 ( ! [X1 : reg] : ((((c @ X1 @ sK7) => (c @ X1 @ france)) = $true)) )),
% 0.26/0.52 inference(beta_eta_normalization,[],[f296])).
% 0.26/0.52 thf(f296,plain,(
% 0.26/0.52 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france))) @ X1))) )),
% 0.26/0.52 inference(pi_clausification,[],[f291])).
% 0.26/0.52 thf(f291,plain,(
% 0.26/0.52 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france)))) = $true)),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f290])).
% 0.26/0.52 thf(f290,plain,(
% 0.26/0.52 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france))))))),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f288])).
% 0.26/0.52 thf(f288,plain,(
% 0.26/0.52 ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK7) => (c @ Y0 @ france))))) => (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7))))))))) = $false)),
% 0.26/0.52 inference(beta_eta_normalization,[],[f287])).
% 0.26/0.52 thf(f287,plain,(
% 0.26/0.52 (((^[Y0 : reg]: (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ sK6) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) => (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))) @ sK7) = $false)),
% 0.26/0.52 inference(sigma_clausification,[],[f286])).
% 0.26/0.52 thf(f286,plain,(
% 0.26/0.52 ($false = (!! @ reg @ (^[Y0 : reg]: (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ sK6) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))) => (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK6)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))),
% 0.26/0.52 inference(beta_eta_normalization,[],[f285])).
% 0.26/0.52 thf(f285,plain,(
% 0.26/0.52 (((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))) => (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))))))) @ sK6) = $false)),
% 0.26/0.52 inference(sigma_clausification,[],[f282])).
% 0.26/0.52 thf(f282,plain,(
% 0.26/0.52 ((!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))) => (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))) = $false)),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f281])).
% 0.26/0.52 thf(f281,plain,(
% 0.26/0.52 ($false = ((~ (fool @ sK4 @ sK5)) | (!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))) => (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))))))))))),
% 0.26/0.52 inference(beta_eta_normalization,[],[f280])).
% 0.26/0.52 thf(f280,plain,(
% 0.26/0.52 (((^[Y0 : $i]: ((~ (fool @ sK4 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: (((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y1) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))) => (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))))) @ sK5) = $false)),
% 0.26/0.52 inference(sigma_clausification,[],[f279])).
% 0.26/0.52 thf(f279,plain,(
% 0.26/0.52 ((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ sK4 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: (((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y1) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))) => (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))))))))))) = $false)),
% 0.26/0.52 inference(beta_eta_normalization,[],[f278])).
% 0.26/0.52 thf(f278,plain,(
% 0.26/0.52 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: (!! @ reg @ (^[Y3 : reg]: (((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))) => (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3))))))))))))))))) @ sK4) = $false)),
% 0.26/0.52 inference(sigma_clausification,[],[f277])).
% 0.26/0.52 thf(f277,plain,(
% 0.26/0.52 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: (!! @ reg @ (^[Y3 : reg]: (((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))) => (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))))))))))))))))) != $true)),
% 0.26/0.52 inference(beta_eta_normalization,[],[f216])).
% 0.26/0.52 thf(f216,plain,(
% 0.26/0.52 ($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]: (!! @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y1 @ spain) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ france)) => (~ ((^[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)))))))))))),
% 0.26/0.52 inference(definition_unfolding,[],[f181,f166,f187,f171,f171,f207])).
% 0.26/0.52 thf(f207,plain,(
% 0.26/0.52 (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))))))))),
% 0.26/0.52 inference(definition_unfolding,[],[f170,f171,f171])).
% 0.26/0.52 thf(f170,plain,(
% 0.26/0.52 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 0.26/0.52 inference(cnf_transformation,[],[f113])).
% 0.26/0.52 thf(f113,plain,(
% 0.26/0.52 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 0.26/0.52 inference(fool_elimination,[],[f112])).
% 0.26/0.52 thf(f112,plain,(
% 0.26/0.52 ((^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))) = o)),
% 0.26/0.52 inference(rectify,[],[f37])).
% 0.26/0.52 thf(f37,axiom,(
% 0.26/0.52 ((^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))) = o)),
% 0.26/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',o)).
% 0.26/0.52 thf(f171,plain,(
% 0.26/0.52 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.26/0.52 inference(cnf_transformation,[],[f121])).
% 0.26/0.52 thf(f121,plain,(
% 0.26/0.52 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.26/0.52 inference(fool_elimination,[],[f120])).
% 0.26/0.52 thf(f120,plain,(
% 0.26/0.52 ((^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))) = p)),
% 0.26/0.52 inference(rectify,[],[f35])).
% 0.26/0.52 thf(f35,axiom,(
% 0.26/0.52 ((^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))) = p)),
% 0.26/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p)).
% 0.26/0.52 thf(f187,plain,(
% 0.26/0.52 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.26/0.52 inference(cnf_transformation,[],[f125])).
% 0.26/0.52 thf(f125,plain,(
% 0.26/0.52 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.26/0.52 inference(fool_elimination,[],[f124])).
% 0.26/0.52 thf(f124,plain,(
% 0.26/0.52 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
% 0.26/0.52 inference(rectify,[],[f16])).
% 0.26/0.52 thf(f16,axiom,(
% 0.26/0.52 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
% 0.26/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.26/0.52 thf(f166,plain,(
% 0.26/0.52 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.26/0.52 inference(cnf_transformation,[],[f135])).
% 0.26/0.52 thf(f135,plain,(
% 0.26/0.52 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.26/0.52 inference(fool_elimination,[],[f134])).
% 0.26/0.52 thf(f134,plain,(
% 0.26/0.52 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.26/0.52 inference(rectify,[],[f28])).
% 0.26/0.52 thf(f28,axiom,(
% 0.26/0.52 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.26/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.26/0.52 thf(f181,plain,(
% 0.26/0.52 ($true != (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: (((p @ Y1 @ spain) & (p @ Y2 @ france)) => (~ (o @ Y1 @ Y2)))))))))))),
% 0.26/0.52 inference(cnf_transformation,[],[f146])).
% 0.26/0.52 thf(f146,plain,(
% 0.26/0.52 ($true != (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: (((p @ Y1 @ spain) & (p @ Y2 @ france)) => (~ (o @ Y1 @ Y2)))))))))))),
% 0.26/0.52 inference(flattening,[],[f69])).
% 0.26/0.52 thf(f69,plain,(
% 0.26/0.52 ~($true = (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: (((p @ Y1 @ spain) & (p @ Y2 @ france)) => (~ (o @ Y1 @ Y2)))))))))))),
% 0.26/0.52 inference(fool_elimination,[],[f68])).
% 0.26/0.52 thf(f68,plain,(
% 0.26/0.52 ~(mvalid @ (mbox @ fool @ (^[X0 : $i] : (! [X1 : reg,X2 : reg] : (((p @ X1 @ france) & (p @ X2 @ spain)) => ~(o @ X2 @ X1))))))),
% 0.26/0.52 inference(rectify,[],[f50])).
% 0.26/0.52 thf(f50,negated_conjecture,(
% 0.26/0.52 ~(mvalid @ (mbox @ fool @ (^[X0 : $i] : (! [X1 : reg,X11 : reg] : (((p @ X1 @ france) & (p @ X11 @ spain)) => ~(o @ X11 @ X1))))))),
% 0.26/0.52 inference(negated_conjecture,[],[f49])).
% 0.26/0.52 thf(f49,conjecture,(
% 0.26/0.52 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (! [X1 : reg,X11 : reg] : (((p @ X1 @ france) & (p @ X11 @ spain)) => ~(o @ X11 @ X1))))))),
% 0.26/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.26/0.52 thf(f1209,plain,(
% 0.26/0.52 ~spl0_31 | ~spl0_29),
% 0.26/0.52 inference(avatar_split_clause,[],[f1205,f682,f901])).
% 0.26/0.52 thf(f682,plain,(
% 0.26/0.52 spl0_29 <=> ((c @ (sK17 @ sK8) @ spain) = $false)),
% 0.26/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_29])])).
% 0.26/0.52 thf(f1205,plain,(
% 0.26/0.52 ($true != (c @ (sK17 @ sK8) @ sK8)) | ~spl0_29),
% 0.26/0.52 inference(trivial_inequality_removal,[],[f1201])).
% 0.26/0.52 thf(f1201,plain,(
% 0.26/0.52 ($true != $true) | ($true != (c @ (sK17 @ sK8) @ sK8)) | ~spl0_29),
% 0.26/0.52 inference(superposition,[],[f1135,f151])).
% 0.26/0.52 thf(f151,plain,(
% 0.26/0.52 ( ! [X0 : reg,X1 : reg] : (((c @ X0 @ X1) = $true) | ((c @ X1 @ X0) != $true)) )),
% 0.26/0.52 inference(cnf_transformation,[],[f147])).
% 0.26/0.52 thf(f147,plain,(
% 0.26/0.52 ! [X0 : reg,X1 : reg] : (((c @ X0 @ X1) = $true) | ((c @ X1 @ X0) != $true))),
% 0.26/0.52 inference(ennf_transformation,[],[f78])).
% 0.26/0.52 thf(f78,plain,(
% 0.26/0.52 ! [X0 : reg,X1 : reg] : (((c @ X1 @ X0) = $true) => ((c @ X0 @ X1) = $true))),
% 0.26/0.52 inference(fool_elimination,[],[f77])).
% 0.26/0.52 thf(f77,plain,(
% 0.26/0.52 ! [X0 : reg,X1 : reg] : ((c @ X1 @ X0) => (c @ X0 @ X1))),
% 0.26/0.52 inference(rectify,[],[f33])).
% 0.26/0.52 thf(f33,axiom,(
% 0.26/0.52 ! [X1 : reg,X0 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 0.26/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_symmetric)).
% 0.26/0.52 thf(f1135,plain,(
% 0.26/0.52 ((c @ sK8 @ (sK17 @ sK8)) != $true) | ~spl0_29),
% 0.26/0.52 inference(trivial_inequality_removal,[],[f1132])).
% 0.26/0.52 thf(f1132,plain,(
% 0.26/0.52 ((c @ sK8 @ (sK17 @ sK8)) != $true) | ($true = $false) | ~spl0_29),
% 0.26/0.52 inference(superposition,[],[f972,f151])).
% 0.26/0.52 thf(f972,plain,(
% 0.26/0.52 ($false = (c @ (sK17 @ sK8) @ sK8)) | ~spl0_29),
% 0.26/0.52 inference(trivial_inequality_removal,[],[f968])).
% 0.26/0.52 thf(f968,plain,(
% 0.26/0.52 ($false = (c @ (sK17 @ sK8) @ sK8)) | ($true = $false) | ~spl0_29),
% 0.26/0.52 inference(superposition,[],[f306,f955])).
% 0.26/0.52 thf(f955,plain,(
% 0.26/0.52 ((c @ (sK17 @ sK8) @ sK6) = $false) | ~spl0_29),
% 0.26/0.52 inference(trivial_inequality_removal,[],[f952])).
% 0.26/0.52 thf(f952,plain,(
% 0.26/0.52 ((c @ (sK17 @ sK8) @ sK6) = $false) | ($true = $false) | ~spl0_29),
% 0.26/0.52 inference(superposition,[],[f295,f684])).
% 0.26/0.52 thf(f684,plain,(
% 0.26/0.52 ((c @ (sK17 @ sK8) @ spain) = $false) | ~spl0_29),
% 0.26/0.52 inference(avatar_component_clause,[],[f682])).
% 0.26/0.52 thf(f295,plain,(
% 0.26/0.52 ( ! [X1 : reg] : (($true = (c @ X1 @ spain)) | ((c @ X1 @ sK6) = $false)) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f294])).
% 0.26/0.52 thf(f294,plain,(
% 0.26/0.52 ( ! [X1 : reg] : ((((c @ X1 @ sK6) => (c @ X1 @ spain)) = $true)) )),
% 0.26/0.52 inference(beta_eta_normalization,[],[f293])).
% 0.26/0.52 thf(f293,plain,(
% 0.26/0.52 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ spain))) @ X1))) )),
% 0.26/0.52 inference(pi_clausification,[],[f292])).
% 0.26/0.52 thf(f292,plain,(
% 0.26/0.52 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK6) => (c @ Y0 @ spain)))))),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f290])).
% 0.26/0.52 thf(f306,plain,(
% 0.26/0.52 ( ! [X1 : reg] : (($true = (c @ X1 @ sK6)) | ((c @ X1 @ sK8) = $false)) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f305])).
% 0.26/0.52 thf(f305,plain,(
% 0.26/0.52 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK8) => (c @ X1 @ sK6)))) )),
% 0.26/0.52 inference(beta_eta_normalization,[],[f304])).
% 0.26/0.52 thf(f304,plain,(
% 0.26/0.52 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ sK6))) @ X1))) )),
% 0.26/0.52 inference(pi_clausification,[],[f303])).
% 0.26/0.52 thf(f303,plain,(
% 0.26/0.52 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ sK6)))) = $true)),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f301])).
% 0.26/0.52 thf(f301,plain,(
% 0.26/0.52 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ sK6)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ sK7))))) = $true)),
% 0.26/0.52 inference(beta_eta_normalization,[],[f300])).
% 0.26/0.52 thf(f300,plain,(
% 0.26/0.52 ($true = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))))) @ sK8))),
% 0.26/0.52 inference(sigma_clausification,[],[f299])).
% 0.26/0.52 thf(f299,plain,(
% 0.26/0.52 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7))))))) = $true)),
% 0.26/0.52 inference(not_proxy_clausification,[],[f289])).
% 0.26/0.52 thf(f289,plain,(
% 0.26/0.52 ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK6)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))))))) = $false)),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f288])).
% 0.26/0.52 thf(f949,plain,(
% 0.26/0.52 spl0_29 | ~spl0_1 | ~spl0_28),
% 0.26/0.52 inference(avatar_split_clause,[],[f943,f678,f444,f682])).
% 0.26/0.52 thf(f444,plain,(
% 0.26/0.52 spl0_1 <=> ! [X3 : reg] : (($false = (c @ (sK19 @ X3) @ france)) | ((c @ (sK17 @ X3) @ spain) = $false))),
% 0.26/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.26/0.52 thf(f678,plain,(
% 0.26/0.52 spl0_28 <=> ((c @ (sK19 @ sK8) @ sK7) = $true)),
% 0.26/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])).
% 0.26/0.52 thf(f943,plain,(
% 0.26/0.52 ((c @ (sK17 @ sK8) @ spain) = $false) | (~spl0_1 | ~spl0_28)),
% 0.26/0.52 inference(trivial_inequality_removal,[],[f935])).
% 0.26/0.52 thf(f935,plain,(
% 0.26/0.52 ((c @ (sK17 @ sK8) @ spain) = $false) | ($true = $false) | (~spl0_1 | ~spl0_28)),
% 0.26/0.52 inference(superposition,[],[f680,f660])).
% 0.26/0.52 thf(f660,plain,(
% 0.26/0.52 ( ! [X0 : reg] : (((c @ (sK19 @ X0) @ sK7) = $false) | ((c @ (sK17 @ X0) @ spain) = $false)) ) | ~spl0_1),
% 0.26/0.52 inference(trivial_inequality_removal,[],[f655])).
% 0.26/0.52 thf(f655,plain,(
% 0.26/0.52 ( ! [X0 : reg] : (($true = $false) | ((c @ (sK17 @ X0) @ spain) = $false) | ((c @ (sK19 @ X0) @ sK7) = $false)) ) | ~spl0_1),
% 0.26/0.52 inference(superposition,[],[f298,f445])).
% 0.26/0.52 thf(f445,plain,(
% 0.26/0.52 ( ! [X3 : reg] : (($false = (c @ (sK19 @ X3) @ france)) | ((c @ (sK17 @ X3) @ spain) = $false)) ) | ~spl0_1),
% 0.26/0.52 inference(avatar_component_clause,[],[f444])).
% 0.26/0.52 thf(f680,plain,(
% 0.26/0.52 ((c @ (sK19 @ sK8) @ sK7) = $true) | ~spl0_28),
% 0.26/0.52 inference(avatar_component_clause,[],[f678])).
% 0.26/0.52 thf(f905,plain,(
% 0.26/0.52 spl0_31 | spl0_30 | ~spl0_5),
% 0.26/0.52 inference(avatar_split_clause,[],[f894,f459,f897,f901])).
% 0.26/0.52 thf(f459,plain,(
% 0.26/0.52 spl0_5 <=> ! [X3 : reg] : (($true = (c @ (sK18 @ X3) @ X3)) | ((c @ (sK17 @ X3) @ X3) = $true))),
% 0.26/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.26/0.52 thf(f894,plain,(
% 0.26/0.52 ($true = (c @ (sK17 @ sK8) @ sK8)) | ((c @ (sK18 @ sK8) @ sK7) = $true) | ~spl0_5),
% 0.26/0.52 inference(trivial_inequality_removal,[],[f879])).
% 0.26/0.52 thf(f879,plain,(
% 0.26/0.52 ($true = $false) | ((c @ (sK18 @ sK8) @ sK7) = $true) | ($true = (c @ (sK17 @ sK8) @ sK8)) | ~spl0_5),
% 0.26/0.52 inference(superposition,[],[f309,f460])).
% 0.26/0.52 thf(f460,plain,(
% 0.26/0.52 ( ! [X3 : reg] : (($true = (c @ (sK18 @ X3) @ X3)) | ((c @ (sK17 @ X3) @ X3) = $true)) ) | ~spl0_5),
% 0.26/0.52 inference(avatar_component_clause,[],[f459])).
% 0.26/0.52 thf(f309,plain,(
% 0.26/0.52 ( ! [X1 : reg] : (((c @ X1 @ sK8) = $false) | ((c @ X1 @ sK7) = $true)) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f308])).
% 0.26/0.52 thf(f308,plain,(
% 0.26/0.52 ( ! [X1 : reg] : ((((c @ X1 @ sK8) => (c @ X1 @ sK7)) = $true)) )),
% 0.26/0.52 inference(beta_eta_normalization,[],[f307])).
% 0.26/0.52 thf(f307,plain,(
% 0.26/0.52 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ sK7))) @ X1))) )),
% 0.26/0.52 inference(pi_clausification,[],[f302])).
% 0.26/0.52 thf(f302,plain,(
% 0.26/0.52 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK8) => (c @ Y0 @ sK7)))))),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f301])).
% 0.26/0.52 thf(f686,plain,(
% 0.26/0.52 spl0_28 | spl0_29 | ~spl0_3),
% 0.26/0.52 inference(avatar_split_clause,[],[f667,f451,f682,f678])).
% 0.26/0.52 thf(f451,plain,(
% 0.26/0.52 spl0_3 <=> ! [X3 : reg] : (((c @ (sK19 @ X3) @ X3) = $true) | ((c @ (sK17 @ X3) @ spain) = $false))),
% 0.26/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.26/0.52 thf(f667,plain,(
% 0.26/0.52 ((c @ (sK19 @ sK8) @ sK7) = $true) | ((c @ (sK17 @ sK8) @ spain) = $false) | ~spl0_3),
% 0.26/0.52 inference(trivial_inequality_removal,[],[f665])).
% 0.26/0.52 thf(f665,plain,(
% 0.26/0.52 ((c @ (sK19 @ sK8) @ sK7) = $true) | ((c @ (sK17 @ sK8) @ spain) = $false) | ($true = $false) | ~spl0_3),
% 0.26/0.52 inference(superposition,[],[f309,f452])).
% 0.26/0.52 thf(f452,plain,(
% 0.26/0.52 ( ! [X3 : reg] : (((c @ (sK19 @ X3) @ X3) = $true) | ((c @ (sK17 @ X3) @ spain) = $false)) ) | ~spl0_3),
% 0.26/0.52 inference(avatar_component_clause,[],[f451])).
% 0.26/0.52 thf(f561,plain,(
% 0.26/0.52 ~spl0_2),
% 0.26/0.52 inference(avatar_contradiction_clause,[],[f560])).
% 0.26/0.52 thf(f560,plain,(
% 0.26/0.52 $false | ~spl0_2),
% 0.26/0.52 inference(trivial_inequality_removal,[],[f557])).
% 0.26/0.52 thf(f557,plain,(
% 0.26/0.52 ($true = $false) | ~spl0_2),
% 0.26/0.52 inference(superposition,[],[f284,f448])).
% 0.26/0.52 thf(f448,plain,(
% 0.26/0.52 ( ! [X2 : $i,X1 : $i] : (((fool @ X1 @ X2) = $false)) ) | ~spl0_2),
% 0.26/0.52 inference(avatar_component_clause,[],[f447])).
% 0.26/0.52 thf(f447,plain,(
% 0.26/0.52 spl0_2 <=> ! [X2,X1] : ((fool @ X1 @ X2) = $false)),
% 0.26/0.52 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.26/0.52 thf(f284,plain,(
% 0.26/0.52 ($true = (fool @ sK4 @ sK5))),
% 0.26/0.52 inference(not_proxy_clausification,[],[f283])).
% 0.26/0.52 thf(f283,plain,(
% 0.26/0.52 ((~ (fool @ sK4 @ sK5)) = $false)),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f281])).
% 0.26/0.52 thf(f461,plain,(
% 0.26/0.52 spl0_5 | spl0_2),
% 0.26/0.52 inference(avatar_split_clause,[],[f417,f447,f459])).
% 0.26/0.52 thf(f417,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (c @ (sK18 @ X3) @ X3)) | ((c @ (sK17 @ X3) @ X3) = $true) | ((fool @ X1 @ X2) = $false)) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f415])).
% 0.26/0.52 thf(f415,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ (sK17 @ X3) @ X3) = $true) | ($false = ((c @ (sK18 @ X3) @ X3) => (c @ (sK18 @ X3) @ france))) | ((fool @ X1 @ X2) = $false)) )),
% 0.26/0.52 inference(beta_eta_normalization,[],[f414])).
% 0.26/0.52 thf(f414,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ (sK17 @ X3) @ X3) = $true) | (((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))) @ (sK18 @ X3)) = $false) | ((fool @ X1 @ X2) = $false)) )),
% 0.26/0.52 inference(sigma_clausification,[],[f413])).
% 0.26/0.52 thf(f413,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ (sK17 @ X3) @ X3) = $true) | ((fool @ X1 @ X2) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france)))) = $false)) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f411])).
% 0.26/0.52 thf(f411,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | (((c @ (sK17 @ X3) @ X3) => (c @ (sK17 @ X3) @ spain)) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france)))) = $false)) )),
% 0.26/0.52 inference(beta_eta_normalization,[],[f410])).
% 0.26/0.52 thf(f410,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | (((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))) @ (sK17 @ X3)) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france)))) = $false)) )),
% 0.26/0.52 inference(sigma_clausification,[],[f409])).
% 0.26/0.52 thf(f409,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain)))) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france)))) = $false) | ((fool @ X1 @ X2) = $false)) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f408])).
% 0.26/0.52 thf(f408,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))))) = $false) | ((fool @ X1 @ X2) = $false)) )),
% 0.26/0.52 inference(beta_eta_normalization,[],[f407])).
% 0.26/0.52 thf(f407,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X3) = $false) | ((fool @ X1 @ X2) = $false)) )),
% 0.26/0.52 inference(pi_clausification,[],[f406])).
% 0.26/0.52 thf(f406,plain,(
% 0.26/0.52 ( ! [X2 : $i,X1 : $i] : (((fool @ X1 @ X2) = $false) | ($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) )),
% 0.26/0.52 inference(not_proxy_clausification,[],[f404])).
% 0.26/0.52 thf(f404,plain,(
% 0.26/0.52 ( ! [X2 : $i,X1 : $i] : (((fool @ X1 @ X2) = $false) | ($true = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f403])).
% 0.26/0.52 thf(f403,plain,(
% 0.26/0.52 ( ! [X2 : $i,X1 : $i] : (((fool @ X1 @ X2) = $false) | ($true = ((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))))) )),
% 0.26/0.52 inference(not_proxy_clausification,[],[f402])).
% 0.26/0.52 thf(f402,plain,(
% 0.26/0.52 ( ! [X2 : $i,X1 : $i] : (((~ (fool @ X1 @ X2)) = $true) | ($true = ((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))))) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f401])).
% 0.26/0.52 thf(f401,plain,(
% 0.26/0.52 ( ! [X2 : $i,X1 : $i] : ((((~ (fool @ X1 @ X2)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))))) = $true)) )),
% 0.26/0.52 inference(beta_eta_normalization,[],[f400])).
% 0.26/0.52 thf(f400,plain,(
% 0.26/0.52 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))) @ X2) = $true)) )),
% 0.26/0.52 inference(pi_clausification,[],[f399])).
% 0.26/0.52 thf(f399,plain,(
% 0.26/0.52 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))))) = $true)) )),
% 0.26/0.52 inference(beta_eta_normalization,[],[f398])).
% 0.26/0.52 thf(f398,plain,(
% 0.26/0.52 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))) @ X1) = $true)) )),
% 0.26/0.52 inference(pi_clausification,[],[f397])).
% 0.26/0.52 thf(f397,plain,(
% 0.26/0.52 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))))))))))),
% 0.26/0.52 inference(beta_eta_normalization,[],[f218])).
% 0.26/0.52 thf(f218,plain,(
% 0.26/0.52 (((^[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]: ((c @ Y1 @ Y2) & (~ ((^[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)))))) @ spain @ france)))) = $true)),
% 0.26/0.52 inference(definition_unfolding,[],[f189,f166,f187,f209])).
% 0.26/0.52 thf(f209,plain,(
% 0.26/0.52 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ ((^[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)))))))),
% 0.26/0.52 inference(definition_unfolding,[],[f150,f207])).
% 0.26/0.52 thf(f150,plain,(
% 0.26/0.52 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 0.26/0.52 inference(cnf_transformation,[],[f101])).
% 0.26/0.52 thf(f101,plain,(
% 0.26/0.52 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 0.26/0.52 inference(fool_elimination,[],[f100])).
% 0.26/0.52 thf(f100,plain,(
% 0.26/0.52 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 0.26/0.52 inference(rectify,[],[f39])).
% 0.26/0.52 thf(f39,axiom,(
% 0.26/0.52 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 0.26/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec)).
% 0.26/0.52 thf(f189,plain,(
% 0.26/0.52 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
% 0.26/0.52 inference(cnf_transformation,[],[f87])).
% 0.26/0.52 thf(f87,plain,(
% 0.26/0.52 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))) = $true)),
% 0.26/0.52 inference(fool_elimination,[],[f86])).
% 0.26/0.52 thf(f86,plain,(
% 0.26/0.52 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
% 0.26/0.52 inference(rectify,[],[f47])).
% 0.26/0.52 thf(f47,axiom,(
% 0.26/0.52 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
% 0.26/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)).
% 0.26/0.52 thf(f457,plain,(
% 0.26/0.52 spl0_4 | spl0_2),
% 0.26/0.52 inference(avatar_split_clause,[],[f416,f447,f455])).
% 0.26/0.52 thf(f416,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ (sK18 @ X3) @ france) = $false) | ((fool @ X1 @ X2) = $false) | ((c @ (sK17 @ X3) @ X3) = $true)) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f415])).
% 0.26/0.52 thf(f453,plain,(
% 0.26/0.52 spl0_3 | spl0_2),
% 0.26/0.52 inference(avatar_split_clause,[],[f421,f447,f451])).
% 0.26/0.52 thf(f421,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ (sK19 @ X3) @ X3) = $true) | ((c @ (sK17 @ X3) @ spain) = $false) | ((fool @ X1 @ X2) = $false)) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f419])).
% 0.26/0.52 thf(f419,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ (sK17 @ X3) @ spain) = $false) | ((fool @ X1 @ X2) = $false) | (((c @ (sK19 @ X3) @ X3) => (c @ (sK19 @ X3) @ france)) = $false)) )),
% 0.26/0.52 inference(beta_eta_normalization,[],[f418])).
% 0.26/0.52 thf(f418,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | ((c @ (sK17 @ X3) @ spain) = $false) | (((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))) @ (sK19 @ X3)) = $false)) )),
% 0.26/0.52 inference(sigma_clausification,[],[f412])).
% 0.26/0.52 thf(f412,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | ((c @ (sK17 @ X3) @ spain) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france)))) = $false)) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f411])).
% 0.26/0.52 thf(f449,plain,(
% 0.26/0.52 spl0_1 | spl0_2),
% 0.26/0.52 inference(avatar_split_clause,[],[f420,f447,f444])).
% 0.26/0.52 thf(f420,plain,(
% 0.26/0.52 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (c @ (sK19 @ X3) @ france)) | ((c @ (sK17 @ X3) @ spain) = $false) | ((fool @ X1 @ X2) = $false)) )),
% 0.26/0.52 inference(binary_proxy_clausification,[],[f419])).
% 0.26/0.52 % SZS output end Proof for theBenchmark
% 0.26/0.52 % (29362)------------------------------
% 0.26/0.52 % (29362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.52 % (29362)Termination reason: Refutation
% 0.26/0.52
% 0.26/0.52 % (29362)Memory used [KB]: 7036
% 0.26/0.52 % (29362)Time elapsed: 0.100 s
% 0.26/0.52 % (29362)Instructions burned: 154 (million)
% 0.26/0.52 % (29362)------------------------------
% 0.26/0.52 % (29362)------------------------------
% 0.26/0.52 % (29361)Success in time 0.124 s
% 0.26/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------