%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU754^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 03:51:16 EDT 2024

% Result   : Theorem 1.17s 0.77s
% Output   : Refutation 1.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEU754^1 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.14  % 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
% 0.16/0.35  % Computer : n016.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sun May 19 18:02:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a TH0_THM_EQU_NAR problem
% 0.16/0.36  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37  ipcrm: permission denied for id (1768816640)
% 0.16/0.38  ipcrm: permission denied for id (1768849415)
% 0.16/0.40  ipcrm: permission denied for id (1768947735)
% 0.16/0.42  ipcrm: permission denied for id (1769013283)
% 0.16/0.42  ipcrm: permission denied for id (1769046053)
% 0.22/0.43  ipcrm: permission denied for id (1769111599)
% 0.22/0.45  ipcrm: permission denied for id (1769308224)
% 0.22/0.50  ipcrm: permission denied for id (1769373796)
% 0.22/0.50  ipcrm: permission denied for id (1769406566)
% 0.22/0.50  ipcrm: permission denied for id (1769439336)
% 0.22/0.52  ipcrm: permission denied for id (1769537654)
% 0.22/0.52  ipcrm: permission denied for id (1769570423)
% 0.42/0.57  % (28364)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.42/0.57  % (28365)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 (2998ds/2Mi)
% 0.42/0.57  % (28361)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.42/0.57  % (28363)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 (2998ds/27Mi)
% 0.42/0.57  % (28366)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 (2998ds/275Mi)
% 0.42/0.57  % (28362)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 (2998ds/4Mi)
% 0.42/0.57  % (28368)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.42/0.58  % (28364)Instruction limit reached!
% 0.42/0.58  % (28364)------------------------------
% 0.42/0.58  % (28364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.42/0.58  % (28364)Termination reason: Unknown
% 0.42/0.58  % (28364)Termination phase: shuffling
% 0.42/0.58  
% 0.42/0.58  % (28365)Instruction limit reached!
% 0.42/0.58  % (28365)------------------------------
% 0.42/0.58  % (28365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.42/0.58  % (28365)Termination reason: Unknown
% 0.42/0.58  % (28365)Termination phase: shuffling
% 0.42/0.58  
% 0.42/0.58  % (28365)Memory used [KB]: 1407
% 0.42/0.58  % (28365)Time elapsed: 0.003 s
% 0.42/0.58  % (28365)Instructions burned: 2 (million)
% 0.42/0.58  % (28365)------------------------------
% 0.42/0.58  % (28365)------------------------------
% 0.42/0.58  % (28364)Memory used [KB]: 1407
% 0.42/0.58  % (28364)Time elapsed: 0.003 s
% 0.42/0.58  % (28364)Instructions burned: 2 (million)
% 0.42/0.58  % (28364)------------------------------
% 0.42/0.58  % (28364)------------------------------
% 0.42/0.58  % (28368)Instruction limit reached!
% 0.42/0.58  % (28368)------------------------------
% 0.42/0.58  % (28368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.42/0.58  % (28368)Termination reason: Unknown
% 0.42/0.58  % (28368)Termination phase: shuffling
% 0.42/0.58  
% 0.42/0.58  % (28368)Memory used [KB]: 1535
% 0.42/0.58  % (28368)Time elapsed: 0.004 s
% 0.42/0.58  % (28368)Instructions burned: 3 (million)
% 0.42/0.58  % (28368)------------------------------
% 0.42/0.58  % (28368)------------------------------
% 0.42/0.58  % (28362)Instruction limit reached!
% 0.42/0.58  % (28362)------------------------------
% 0.42/0.58  % (28362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.42/0.58  % (28362)Termination reason: Unknown
% 0.42/0.58  % (28362)Termination phase: shuffling
% 0.42/0.58  
% 0.42/0.58  % (28362)Memory used [KB]: 1535
% 0.42/0.58  % (28362)Time elapsed: 0.004 s
% 0.42/0.58  % (28362)Instructions burned: 4 (million)
% 0.42/0.58  % (28362)------------------------------
% 0.42/0.58  % (28362)------------------------------
% 0.42/0.59  % (28367)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.42/0.59  % (28363)Instruction limit reached!
% 0.42/0.59  % (28363)------------------------------
% 0.42/0.59  % (28363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.42/0.59  % (28363)Termination reason: Unknown
% 0.42/0.59  % (28363)Termination phase: shuffling
% 0.42/0.59  
% 0.42/0.59  % (28363)Memory used [KB]: 1918
% 0.42/0.59  % (28363)Time elapsed: 0.016 s
% 0.42/0.59  % (28363)Instructions burned: 27 (million)
% 0.42/0.59  % (28363)------------------------------
% 0.42/0.59  % (28363)------------------------------
% 0.42/0.59  % (28378)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 (2997ds/15Mi)
% 0.42/0.59  % (28377)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 (2997ds/37Mi)
% 0.51/0.59  % (28379)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 (2997ds/3Mi)
% 0.51/0.59  % (28380)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 (2997ds/1041Mi)
% 0.51/0.59  % (28379)Instruction limit reached!
% 0.51/0.59  % (28379)------------------------------
% 0.51/0.59  % (28379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.59  % (28379)Termination reason: Unknown
% 0.51/0.59  % (28379)Termination phase: shuffling
% 0.51/0.59  
% 0.51/0.59  % (28379)Memory used [KB]: 1407
% 0.51/0.59  % (28379)Time elapsed: 0.004 s
% 0.51/0.59  % (28379)Instructions burned: 3 (million)
% 0.51/0.59  % (28379)------------------------------
% 0.51/0.59  % (28379)------------------------------
% 0.51/0.60  % (28378)Instruction limit reached!
% 0.51/0.60  % (28378)------------------------------
% 0.51/0.60  % (28378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.60  % (28378)Termination reason: Unknown
% 0.51/0.60  % (28378)Termination phase: shuffling
% 0.51/0.60  
% 0.51/0.60  % (28378)Memory used [KB]: 1791
% 0.51/0.60  % (28378)Time elapsed: 0.009 s
% 0.51/0.60  % (28378)Instructions burned: 16 (million)
% 0.51/0.60  % (28378)------------------------------
% 0.51/0.60  % (28378)------------------------------
% 0.51/0.60  % (28367)Instruction limit reached!
% 0.51/0.60  % (28367)------------------------------
% 0.51/0.60  % (28367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.60  % (28367)Termination reason: Unknown
% 0.51/0.60  % (28367)Termination phase: shuffling
% 0.51/0.60  
% 0.51/0.60  % (28367)Memory used [KB]: 1791
% 0.51/0.60  % (28367)Time elapsed: 0.014 s
% 0.51/0.60  % (28367)Instructions burned: 18 (million)
% 0.51/0.60  % (28367)------------------------------
% 0.51/0.60  % (28367)------------------------------
% 0.51/0.60  % (28386)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 0.51/0.61  % (28390)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 (2997ds/3Mi)
% 0.51/0.61  % (28390)Instruction limit reached!
% 0.51/0.61  % (28390)------------------------------
% 0.51/0.61  % (28390)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.61  % (28390)Termination reason: Unknown
% 0.51/0.61  % (28390)Termination phase: shuffling
% 0.51/0.61  
% 0.51/0.61  % (28390)Memory used [KB]: 1535
% 0.51/0.61  % (28390)Time elapsed: 0.003 s
% 0.51/0.61  % (28390)Instructions burned: 4 (million)
% 0.51/0.61  % (28390)------------------------------
% 0.51/0.61  % (28390)------------------------------
% 0.51/0.61  % (28386)Instruction limit reached!
% 0.51/0.61  % (28386)------------------------------
% 0.51/0.61  % (28386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.61  % (28386)Termination reason: Unknown
% 0.51/0.61  % (28386)Termination phase: shuffling
% 0.51/0.61  
% 0.51/0.61  % (28386)Memory used [KB]: 1535
% 0.51/0.61  % (28386)Time elapsed: 0.006 s
% 0.51/0.61  % (28386)Instructions burned: 7 (million)
% 0.51/0.61  % (28386)------------------------------
% 0.51/0.61  % (28386)------------------------------
% 0.51/0.61  % (28389)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2997ds/16Mi)
% 0.51/0.61  % (28377)Instruction limit reached!
% 0.51/0.61  % (28377)------------------------------
% 0.51/0.61  % (28377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.61  % (28377)Termination reason: Unknown
% 0.51/0.61  % (28377)Termination phase: shuffling
% 0.51/0.61  
% 0.51/0.61  % (28377)Memory used [KB]: 2302
% 0.51/0.61  % (28377)Time elapsed: 0.021 s
% 0.51/0.61  % (28377)Instructions burned: 38 (million)
% 0.51/0.61  % (28377)------------------------------
% 0.51/0.61  % (28377)------------------------------
% 0.51/0.61  % (28392)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 (2997ds/3Mi)
% 0.51/0.62  % (28392)Instruction limit reached!
% 0.51/0.62  % (28392)------------------------------
% 0.51/0.62  % (28392)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.62  % (28392)Termination reason: Unknown
% 0.51/0.62  % (28392)Termination phase: shuffling
% 0.51/0.62  
% 0.51/0.62  % (28392)Memory used [KB]: 1407
% 0.51/0.62  % (28392)Time elapsed: 0.003 s
% 0.51/0.62  % (28392)Instructions burned: 3 (million)
% 0.51/0.62  % (28392)------------------------------
% 0.51/0.62  % (28392)------------------------------
% 0.51/0.62  % (28394)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 0.51/0.62  % (28389)Instruction limit reached!
% 0.51/0.62  % (28389)------------------------------
% 0.51/0.62  % (28389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.62  % (28389)Termination reason: Unknown
% 0.51/0.62  % (28389)Termination phase: shuffling
% 0.51/0.62  
% 0.51/0.62  % (28389)Memory used [KB]: 1791
% 0.51/0.62  % (28389)Time elapsed: 0.011 s
% 0.51/0.62  % (28389)Instructions burned: 16 (million)
% 0.51/0.62  % (28389)------------------------------
% 0.51/0.62  % (28389)------------------------------
% 0.51/0.62  % (28394)Instruction limit reached!
% 0.51/0.62  % (28394)------------------------------
% 0.51/0.62  % (28394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.62  % (28394)Termination reason: Unknown
% 0.51/0.62  % (28394)Termination phase: shuffling
% 0.51/0.62  
% 0.51/0.62  % (28394)Memory used [KB]: 1535
% 0.51/0.62  % (28394)Time elapsed: 0.004 s
% 0.51/0.62  % (28394)Instructions burned: 8 (million)
% 0.51/0.62  % (28394)------------------------------
% 0.51/0.62  % (28394)------------------------------
% 0.51/0.62  % (28395)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 (2997ds/3Mi)
% 0.51/0.62  % (28395)Instruction limit reached!
% 0.51/0.62  % (28395)------------------------------
% 0.51/0.62  % (28395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.62  % (28395)Termination reason: Unknown
% 0.51/0.62  % (28395)Termination phase: shuffling
% 0.51/0.62  
% 0.51/0.62  % (28395)Memory used [KB]: 1407
% 0.51/0.62  % (28395)Time elapsed: 0.003 s
% 0.51/0.62  % (28395)Instructions burned: 3 (million)
% 0.51/0.62  % (28395)------------------------------
% 0.51/0.62  % (28395)------------------------------
% 0.51/0.63  % (28399)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2997ds/4Mi)
% 0.51/0.63  % (28405)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 0.51/0.63  % (28399)Instruction limit reached!
% 0.51/0.63  % (28399)------------------------------
% 0.51/0.63  % (28399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.63  % (28399)Termination reason: Unknown
% 0.51/0.63  % (28399)Termination phase: shuffling
% 0.51/0.63  
% 0.51/0.63  % (28399)Memory used [KB]: 1535
% 0.51/0.63  % (28399)Time elapsed: 0.004 s
% 0.51/0.63  % (28399)Instructions burned: 5 (million)
% 0.51/0.63  % (28399)------------------------------
% 0.51/0.63  % (28399)------------------------------
% 0.51/0.63  % (28405)Instruction limit reached!
% 0.51/0.63  % (28405)------------------------------
% 0.51/0.63  % (28405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.51/0.63  % (28405)Termination reason: Unknown
% 0.51/0.63  % (28405)Termination phase: shuffling
% 0.51/0.63  
% 0.51/0.63  % (28405)Memory used [KB]: 1535
% 0.51/0.63  % (28405)Time elapsed: 0.004 s
% 0.51/0.63  % (28405)Instructions burned: 8 (million)
% 0.51/0.63  % (28405)------------------------------
% 0.51/0.63  % (28405)------------------------------
% 0.51/0.63  % (28403)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 (2997ds/18Mi)
% 0.51/0.63  % (28404)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2997ds/710Mi)
% 0.74/0.64  % (28408)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 (2997ds/902Mi)
% 0.74/0.64  % (28416)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2997ds/5Mi)
% 0.74/0.64  % (28403)Instruction limit reached!
% 0.74/0.64  % (28403)------------------------------
% 0.74/0.64  % (28403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.74/0.64  % (28416)Instruction limit reached!
% 0.74/0.64  % (28416)------------------------------
% 0.74/0.64  % (28416)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.74/0.64  % (28416)Termination reason: Unknown
% 0.74/0.64  % (28416)Termination phase: shuffling
% 0.74/0.64  
% 0.74/0.64  % (28416)Memory used [KB]: 1535
% 0.74/0.64  % (28416)Time elapsed: 0.003 s
% 0.74/0.64  % (28416)Instructions burned: 5 (million)
% 0.74/0.64  % (28416)------------------------------
% 0.74/0.64  % (28416)------------------------------
% 0.74/0.64  % (28403)Termination reason: Unknown
% 0.74/0.64  % (28403)Termination phase: shuffling
% 0.74/0.64  
% 0.74/0.64  % (28403)Memory used [KB]: 1791
% 0.74/0.64  % (28403)Time elapsed: 0.012 s
% 0.74/0.64  % (28403)Instructions burned: 18 (million)
% 0.74/0.64  % (28403)------------------------------
% 0.74/0.64  % (28403)------------------------------
% 0.74/0.64  % (28415)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 (2997ds/21Mi)
% 0.74/0.65  % (28422)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 (2997ds/6Mi)
% 0.74/0.65  % (28422)Instruction limit reached!
% 0.74/0.65  % (28422)------------------------------
% 0.74/0.65  % (28422)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.74/0.65  % (28422)Termination reason: Unknown
% 0.74/0.65  % (28422)Termination phase: shuffling
% 0.74/0.65  
% 0.74/0.65  % (28422)Memory used [KB]: 1535
% 0.74/0.65  % (28422)Time elapsed: 0.003 s
% 0.74/0.65  % (28422)Instructions burned: 6 (million)
% 0.74/0.65  % (28422)------------------------------
% 0.74/0.65  % (28422)------------------------------
% 0.74/0.65  % (28423)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2997ds/377Mi)
% 0.74/0.65  % (28415)Instruction limit reached!
% 0.74/0.65  % (28415)------------------------------
% 0.74/0.65  % (28415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.74/0.65  % (28415)Termination reason: Unknown
% 0.74/0.65  % (28415)Termination phase: shuffling
% 0.74/0.65  
% 0.74/0.65  % (28415)Memory used [KB]: 1791
% 0.74/0.65  % (28415)Time elapsed: 0.013 s
% 0.74/0.65  % (28415)Instructions burned: 21 (million)
% 0.74/0.65  % (28415)------------------------------
% 0.74/0.65  % (28415)------------------------------
% 0.74/0.66  % (28430)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 (2997ds/779Mi)
% 0.74/0.66  % (28361)Instruction limit reached!
% 0.74/0.66  % (28361)------------------------------
% 0.74/0.66  % (28361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.74/0.66  % (28361)Termination reason: Unknown
% 0.74/0.66  % (28361)Termination phase: Saturation
% 0.74/0.66  
% 0.74/0.66  % (28361)Memory used [KB]: 7419
% 0.74/0.66  % (28361)Time elapsed: 0.089 s
% 0.74/0.66  % (28361)Instructions burned: 183 (million)
% 0.74/0.66  % (28361)------------------------------
% 0.74/0.66  % (28361)------------------------------
% 0.74/0.67  % (28435)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 (2997ds/19Mi)
% 0.74/0.68  % (28435)Instruction limit reached!
% 0.74/0.68  % (28435)------------------------------
% 0.74/0.68  % (28435)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.74/0.68  % (28435)Termination reason: Unknown
% 0.74/0.68  % (28435)Termination phase: shuffling
% 0.74/0.68  
% 0.74/0.68  % (28435)Memory used [KB]: 1791
% 0.74/0.68  % (28435)Time elapsed: 0.010 s
% 0.74/0.68  % (28435)Instructions burned: 21 (million)
% 0.74/0.68  % (28435)------------------------------
% 0.74/0.68  % (28435)------------------------------
% 0.74/0.68  % (28442)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2997ds/879Mi)
% 0.74/0.69  % (28454)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2996ds/17Mi)
% 0.74/0.69  % (28454)Instruction limit reached!
% 0.74/0.69  % (28454)------------------------------
% 0.74/0.69  % (28454)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.74/0.69  % (28454)Termination reason: Unknown
% 0.74/0.69  % (28454)Termination phase: shuffling
% 0.74/0.69  
% 0.74/0.69  % (28454)Memory used [KB]: 1918
% 0.74/0.69  % (28454)Time elapsed: 0.007 s
% 0.74/0.69  % (28454)Instructions burned: 20 (million)
% 0.74/0.69  % (28454)------------------------------
% 0.74/0.69  % (28454)------------------------------
% 0.95/0.70  % (28467)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2996ds/3Mi)
% 0.95/0.70  % (28467)Instruction limit reached!
% 0.95/0.70  % (28467)------------------------------
% 0.95/0.70  % (28467)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.95/0.70  % (28467)Termination reason: Unknown
% 0.95/0.70  % (28467)Termination phase: shuffling
% 0.95/0.70  
% 0.95/0.70  % (28467)Memory used [KB]: 1535
% 0.95/0.70  % (28467)Time elapsed: 0.003 s
% 0.95/0.70  % (28467)Instructions burned: 5 (million)
% 0.95/0.70  % (28467)------------------------------
% 0.95/0.70  % (28467)------------------------------
% 0.95/0.71  % (28366)Instruction limit reached!
% 0.95/0.71  % (28366)------------------------------
% 0.95/0.71  % (28366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.95/0.71  % (28366)Termination reason: Unknown
% 0.95/0.71  % (28366)Termination phase: Saturation
% 0.95/0.71  
% 0.95/0.71  % (28366)Memory used [KB]: 9978
% 0.95/0.71  % (28366)Time elapsed: 0.134 s
% 0.95/0.71  % (28366)Instructions burned: 277 (million)
% 0.95/0.71  % (28366)------------------------------
% 0.95/0.71  % (28366)------------------------------
% 0.95/0.71  % (28471)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2996ds/30Mi)
% 0.95/0.72  % (28473)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 (2996ds/127Mi)
% 0.95/0.72  % (28471)Instruction limit reached!
% 0.95/0.72  % (28471)------------------------------
% 0.95/0.72  % (28471)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.95/0.72  % (28471)Termination reason: Unknown
% 0.95/0.72  % (28471)Termination phase: shuffling
% 0.95/0.72  
% 0.95/0.72  % (28471)Memory used [KB]: 2174
% 0.95/0.72  % (28471)Time elapsed: 0.011 s
% 0.95/0.72  % (28471)Instructions burned: 32 (million)
% 0.95/0.72  % (28471)------------------------------
% 0.95/0.72  % (28471)------------------------------
% 0.95/0.73  % (28482)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 (2996ds/100Mi)
% 0.95/0.75  % (28473)Instruction limit reached!
% 0.95/0.75  % (28473)------------------------------
% 0.95/0.75  % (28473)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.95/0.75  % (28473)Termination reason: Unknown
% 0.95/0.75  % (28473)Termination phase: Function definition elimination
% 0.95/0.75  
% 0.95/0.75  % (28473)Memory used [KB]: 2686
% 0.95/0.75  % (28473)Time elapsed: 0.036 s
% 0.95/0.75  % (28473)Instructions burned: 128 (million)
% 0.95/0.75  % (28473)------------------------------
% 0.95/0.75  % (28473)------------------------------
% 1.17/0.76  % (28495)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 (2996ds/3Mi)
% 1.17/0.76  % (28482)Instruction limit reached!
% 1.17/0.76  % (28482)------------------------------
% 1.17/0.76  % (28482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.17/0.76  % (28482)Termination reason: Unknown
% 1.17/0.76  % (28482)Termination phase: Property scanning
% 1.17/0.76  
% 1.17/0.76  % (28482)Memory used [KB]: 2686
% 1.17/0.76  % (28482)Time elapsed: 0.030 s
% 1.17/0.76  % (28482)Instructions burned: 101 (million)
% 1.17/0.76  % (28482)------------------------------
% 1.17/0.76  % (28482)------------------------------
% 1.17/0.76  % (28408)First to succeed.
% 1.17/0.76  % (28495)Instruction limit reached!
% 1.17/0.76  % (28495)------------------------------
% 1.17/0.76  % (28495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.17/0.76  % (28495)Termination reason: Unknown
% 1.17/0.76  % (28495)Termination phase: shuffling
% 1.17/0.76  
% 1.17/0.76  % (28495)Memory used [KB]: 1535
% 1.17/0.76  % (28495)Time elapsed: 0.003 s
% 1.17/0.76  % (28495)Instructions burned: 5 (million)
% 1.17/0.76  % (28495)------------------------------
% 1.17/0.76  % (28495)------------------------------
% 1.17/0.77  % (28408)Refutation found. Thanks to Tanya!
% 1.17/0.77  % SZS status Theorem for theBenchmark
% 1.17/0.77  % SZS output start Proof for theBenchmark
% 1.17/0.77  thf(func_def_0, type, in: $i > $i > $o).
% 1.17/0.77  thf(func_def_1, type, exu: ($i > $o) > $o).
% 1.17/0.77  thf(func_def_6, type, setadjoin: $i > $i > $i).
% 1.17/0.77  thf(func_def_8, type, powerset: $i > $i).
% 1.17/0.77  thf(func_def_10, type, setunion: $i > $i).
% 1.17/0.77  thf(func_def_19, type, descr: ($i > $o) > $i).
% 1.17/0.77  thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 1.17/0.77  thf(func_def_26, type, prop2set: $o > $i).
% 1.17/0.77  thf(func_def_36, type, nonempty: $i > $o).
% 1.17/0.77  thf(func_def_69, type, set2prop: $i > $o).
% 1.17/0.77  thf(func_def_88, type, subset: $i > $i > $o).
% 1.17/0.77  thf(func_def_89, type, disjoint: $i > $i > $o).
% 1.17/0.77  thf(func_def_90, type, setsmeet: $i > $i > $o).
% 1.17/0.77  thf(func_def_114, type, binunion: $i > $i > $i).
% 1.17/0.77  thf(func_def_122, type, binintersect: $i > $i > $i).
% 1.17/0.77  thf(func_def_135, type, regular: $i > $o).
% 1.17/0.77  thf(func_def_136, type, setminus: $i > $i > $i).
% 1.17/0.77  thf(func_def_147, type, symdiff: $i > $i > $i).
% 1.17/0.77  thf(func_def_153, type, iskpair: $i > $o).
% 1.17/0.77  thf(func_def_158, type, kpair: $i > $i > $i).
% 1.17/0.77  thf(func_def_160, type, cartprod: $i > $i > $i).
% 1.17/0.77  thf(func_def_177, type, singleton: $i > $o).
% 1.17/0.77  thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 1.17/0.77  thf(func_def_184, type, atmost1p: $i > $o).
% 1.17/0.77  thf(func_def_185, type, atleast2p: $i > $o).
% 1.17/0.77  thf(func_def_186, type, atmost2p: $i > $o).
% 1.17/0.77  thf(func_def_187, type, upairsetp: $i > $o).
% 1.17/0.77  thf(func_def_191, type, kfst: $i > $i).
% 1.17/0.77  thf(func_def_203, type, ksnd: $i > $i).
% 1.17/0.77  thf(func_def_213, type, breln: $i > $i > $i > $o).
% 1.17/0.77  thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 1.17/0.77  thf(func_def_222, type, func: $i > $i > $i > $o).
% 1.17/0.77  thf(func_def_223, type, funcSet: $i > $i > $i).
% 1.17/0.77  thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 1.17/0.77  thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 1.17/0.77  thf(func_def_322, type, sP0: $i > $i > $i > $o).
% 1.17/0.77  thf(func_def_326, type, sP4: $o > $i > $i > $i > $o).
% 1.17/0.77  thf(func_def_327, type, sP5: $i > $i > $i > $i > $o).
% 1.17/0.77  thf(func_def_329, type, sP7: $i > $i > $o).
% 1.17/0.77  thf(func_def_330, type, sP8: $i > $o).
% 1.17/0.77  thf(func_def_331, type, sP9: $i > $i > $o).
% 1.17/0.77  thf(func_def_332, type, sP10: $i > $i > $o).
% 1.17/0.77  thf(func_def_341, type, sK19: $i > $o).
% 1.17/0.77  thf(func_def_342, type, sK20: ($i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_357, type, sK35: $i > $o).
% 1.17/0.77  thf(func_def_364, type, sK42: $i > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_397, type, sK75: $i > $i > $o).
% 1.17/0.77  thf(func_def_402, type, sK80: $i > $i > $o).
% 1.17/0.77  thf(func_def_414, type, sK92: ($i > $o) > $i).
% 1.17/0.77  thf(func_def_415, type, sK93: $i > $o).
% 1.17/0.77  thf(func_def_416, type, sK94: $i > $i).
% 1.17/0.77  thf(func_def_436, type, sK114: ($i > $o) > $i).
% 1.17/0.77  thf(func_def_437, type, sK115: $i > $o).
% 1.17/0.77  thf(func_def_438, type, sK116: $i > $i).
% 1.17/0.77  thf(func_def_446, type, sK124: $i > $i > $i).
% 1.17/0.77  thf(func_def_447, type, sK125: $i > $o).
% 1.17/0.77  thf(func_def_449, type, sK127: $i > ($i > $o) > $i).
% 1.17/0.77  thf(func_def_456, type, sK134: $i > $i > $i).
% 1.17/0.77  thf(func_def_457, type, sK135: $i > $i > $i).
% 1.17/0.77  thf(func_def_475, type, sK153: $i > $o).
% 1.17/0.77  thf(func_def_493, type, sK171: $i > $i).
% 1.17/0.77  thf(func_def_498, type, sK176: $i > $o).
% 1.17/0.77  thf(func_def_499, type, sK177: $i > $o).
% 1.17/0.77  thf(func_def_500, type, sK178: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.17/0.77  thf(func_def_501, type, sK179: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.17/0.77  thf(func_def_503, type, sK181: $i > $i).
% 1.17/0.77  thf(func_def_505, type, sK183: $i > ($i > $i) > $i > $i).
% 1.17/0.77  thf(func_def_513, type, sK191: $i > $i > $o).
% 1.17/0.77  thf(func_def_518, type, sK196: $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_519, type, sK197: $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_528, type, sK206: $i > $i).
% 1.17/0.77  thf(func_def_533, type, sK211: $i > ($i > $o) > $i).
% 1.17/0.77  thf(func_def_534, type, sK212: $i > $o).
% 1.17/0.77  thf(func_def_537, type, sK215: ($i > $o) > ($i > $o) > $i).
% 1.17/0.77  thf(func_def_538, type, sK216: ($i > $o) > ($i > $o) > $i).
% 1.17/0.77  thf(func_def_539, type, sK217: $i > $o).
% 1.17/0.77  thf(func_def_540, type, sK218: $i > $o).
% 1.17/0.77  thf(func_def_554, type, sK232: $i > $i > ($i > $o) > $i).
% 1.17/0.77  thf(func_def_555, type, sK233: $i > $o).
% 1.17/0.77  thf(func_def_563, type, sK241: $i > $o).
% 1.17/0.77  thf(func_def_564, type, sK242: ($i > $o) > $i).
% 1.17/0.77  thf(func_def_571, type, sK249: $i > $i > $o).
% 1.17/0.77  thf(func_def_578, type, sK256: ($i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_580, type, sK258: $i > $o).
% 1.17/0.77  thf(func_def_597, type, sK275: $i > $o).
% 1.17/0.77  thf(func_def_614, type, sK292: $i > $i > $i).
% 1.17/0.77  thf(func_def_627, type, sK305: $i > $i > $o).
% 1.17/0.77  thf(func_def_628, type, sK306: $i > $i).
% 1.17/0.77  thf(func_def_629, type, sK307: $i > $i).
% 1.17/0.77  thf(func_def_630, type, sK308: ($i > $i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_631, type, sK309: $i > ($i > $i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_632, type, sK310: ($i > $i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_654, type, sK332: $i > $o).
% 1.17/0.77  thf(func_def_656, type, sK334: ($i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_683, type, sK361: $i > $o).
% 1.17/0.77  thf(func_def_694, type, sK372: $i > $o).
% 1.17/0.77  thf(func_def_696, type, sK374: ($i > $o) > $i).
% 1.17/0.77  thf(func_def_697, type, sK375: ($i > $o) > $i).
% 1.17/0.77  thf(func_def_698, type, sK376: ($i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_700, type, sK378: $i > $o).
% 1.17/0.77  thf(func_def_711, type, sK389: $i > $i).
% 1.17/0.77  thf(func_def_713, type, sK391: $i > ($i > $i) > $i > $i).
% 1.17/0.77  thf(func_def_725, type, sK403: $i > $o).
% 1.17/0.77  thf(func_def_730, type, sK408: $i > $o).
% 1.17/0.77  thf(func_def_732, type, sK410: ($i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_735, type, sK413: $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_736, type, sK414: $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_747, type, sK425: $i > $o).
% 1.17/0.77  thf(func_def_749, type, sK427: $i > ($i > $o) > $i).
% 1.17/0.77  thf(func_def_753, type, sK431: ($i > $o) > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_754, type, sK432: ($i > $o) > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_758, type, sK436: $i > $o).
% 1.17/0.77  thf(func_def_764, type, sK442: $i > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_765, type, sK443: $i > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_773, type, sK451: $i > $o).
% 1.17/0.77  thf(func_def_788, type, sK466: $i > $i > $i).
% 1.17/0.77  thf(func_def_801, type, sK479: $i > $o).
% 1.17/0.77  thf(func_def_802, type, sK480: $i > $o).
% 1.17/0.77  thf(func_def_803, type, sK481: ($i > $o) > ($i > $o) > $i).
% 1.17/0.77  thf(func_def_804, type, sK482: ($i > $o) > ($i > $o) > $i).
% 1.17/0.77  thf(func_def_816, type, sK494: $i > $o).
% 1.17/0.77  thf(func_def_819, type, sK497: $i > ($i > $o) > $i).
% 1.17/0.77  thf(func_def_829, type, sK507: $i > $i).
% 1.17/0.77  thf(func_def_838, type, sK516: $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_877, type, sK555: $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_883, type, sK561: $i > $i > $o).
% 1.17/0.77  thf(func_def_887, type, sK565: $i > $i > $i).
% 1.17/0.77  thf(func_def_892, type, sK570: $i > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_899, type, sK577: $i > $i > $i).
% 1.17/0.77  thf(func_def_903, type, sK581: $i > $o).
% 1.17/0.77  thf(func_def_907, type, sK585: $i > $o).
% 1.17/0.77  thf(func_def_921, type, sK599: $i > $o).
% 1.17/0.77  thf(func_def_954, type, sK632: $i > $o).
% 1.17/0.77  thf(func_def_967, type, sK645: $i > $i > $o).
% 1.17/0.77  thf(func_def_982, type, sK660: $i > ($i > $i) > $i > $i).
% 1.17/0.77  thf(func_def_984, type, sK662: $i > $i).
% 1.17/0.77  thf(func_def_986, type, sK664: $i > $i > ($i > $i) > $i).
% 1.17/0.77  thf(func_def_987, type, sK665: $i > $i).
% 1.17/0.77  thf(func_def_996, type, sK674: $i > $o).
% 1.17/0.77  thf(func_def_1007, type, sK685: $i > $i > $o).
% 1.17/0.77  thf(func_def_1019, type, sK697: $i > $o).
% 1.17/0.77  thf(func_def_1021, type, sK699: ($i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_1022, type, sK700: ($i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_1028, type, sK706: $i > $i > $i).
% 1.17/0.77  thf(func_def_1029, type, sK707: $i > $i).
% 1.17/0.77  thf(func_def_1031, type, sK709: $i > $i).
% 1.17/0.77  thf(func_def_1060, type, sK738: $i > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_1061, type, sK739: $i > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_1062, type, sK740: $i > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_1063, type, sK741: $i > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_1080, type, sK758: $i > $o).
% 1.17/0.77  thf(func_def_1082, type, sK760: $i > $o).
% 1.17/0.77  thf(func_def_1093, type, sK771: $o > $i > $i > $i).
% 1.17/0.77  thf(func_def_1109, type, sK787: $i > $i > $i).
% 1.17/0.77  thf(func_def_1112, type, sK790: $i > $i > $i).
% 1.17/0.77  thf(func_def_1113, type, sK791: $i > $i > $i).
% 1.17/0.77  thf(func_def_1114, type, sK792: $i > $i > $i).
% 1.17/0.77  thf(func_def_1115, type, sK793: $i > $i > $i).
% 1.17/0.77  thf(func_def_1116, type, sK794: $i > $i > $i).
% 1.17/0.77  thf(func_def_1117, type, sK795: $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_1118, type, sK796: $i > $i).
% 1.17/0.77  thf(func_def_1119, type, sK797: $i > $i).
% 1.17/0.77  thf(func_def_1120, type, sK798: $i > $i).
% 1.17/0.77  thf(func_def_1121, type, sK799: $i > $i).
% 1.17/0.77  thf(func_def_1122, type, sK800: $i > $i > $i).
% 1.17/0.77  thf(func_def_1123, type, sK801: $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_1124, type, sK802: $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_1125, type, sK803: $i > $i > $i).
% 1.17/0.77  thf(func_def_1126, type, sK804: $i > $i > $i).
% 1.17/0.77  thf(func_def_1128, type, sK806: $i > $i).
% 1.17/0.77  thf(func_def_1129, type, sK807: $i > $i).
% 1.17/0.77  thf(func_def_1130, type, sK808: $i > $i).
% 1.17/0.77  thf(func_def_1133, type, sK811: $i > $i).
% 1.17/0.77  thf(func_def_1135, type, sK813: ($i > $i) > $i > $i > $i).
% 1.17/0.77  thf(func_def_1137, type, sK815: $i > $o).
% 1.17/0.77  thf(func_def_1139, type, sK817: ($i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_1140, type, sK818: ($i > $o) > $i > $i).
% 1.17/0.77  thf(func_def_1141, type, sK819: $i > ($i > $i) > $i > $i).
% 1.17/0.77  thf(func_def_1143, type, sK821: $i > $i).
% 1.17/0.77  thf(func_def_1155, type, sK833: ($i > $o) > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_1156, type, sK834: ($i > $o) > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_1160, type, sK838: $i > $o).
% 1.17/0.77  thf(func_def_1166, type, sK844: $i > $i).
% 1.17/0.77  thf(func_def_1168, type, sK846: $i > $i > $i).
% 1.17/0.77  thf(func_def_1176, type, sK854: $i > $i).
% 1.17/0.77  thf(func_def_1194, type, sK872: $i > $i > $i > $i > $i).
% 1.17/0.77  thf(func_def_1196, type, ph874: !>[X0: $tType]:(X0)).
% 1.17/0.77  thf(f4612,plain,(
% 1.17/0.77    $false),
% 1.17/0.77    inference(avatar_sat_refutation,[],[f4394,f4560,f4611])).
% 1.17/0.77  thf(f4611,plain,(
% 1.17/0.77    spl873_17),
% 1.17/0.77    inference(avatar_split_clause,[],[f4323,f4391])).
% 1.17/0.77  thf(f4391,plain,(
% 1.17/0.77    spl873_17 <=> ((in @ sK72 @ (setminus @ sK69 @ sK71)) = $true)),
% 1.17/0.77    introduced(avatar_definition,[new_symbols(naming,[spl873_17])])).
% 1.17/0.77  thf(f4323,plain,(
% 1.17/0.77    ((in @ sK72 @ (setminus @ sK69 @ sK71)) = $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4322])).
% 1.17/0.77  thf(f4322,plain,(
% 1.17/0.77    ($true != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) = $true)),
% 1.17/0.77    inference(forward_demodulation,[],[f4321,f2696])).
% 1.17/0.77  thf(f2696,plain,(
% 1.17/0.77    (demorgan2a2 = $true)),
% 1.17/0.77    inference(cnf_transformation,[],[f1309])).
% 1.17/0.77  thf(f1309,plain,(
% 1.17/0.77    (binintersectSubset1 = $true) & (beta2 = $true) & (lamp = $true) & (secondinupair = $true) & (setminusERneg = $true) & (dsetconstrI = $true) & (funcinfuncset = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (replAx = $true) & (nonemptyI1 = $true) & (complementTnotintersectT = $true) & (ex1I2 = $true) & (symdiffIneg2 = $true) & (setextAx = $true) & (binintersectRsub = $true) & (setukpairinjR12 = $true) & (upairsetIR = $true) & (binunionE = $true) & (notequalI1 = $true) & (demorgan1b = $true) & (inIntersectImpInUnion = $true) & (lam2p = $true) & (setunionAx = $true) & (binunionIR = $true) & (brelnall2 = $true) & (noeltsimpempty = $true) & (funcextLem = $true) & (lam2lamEq = $true) & (setadjoinE = $true) & (cartprodpairmemEL = $true) & (complementTE1 = $true) & (upairequniteq = $true) & (powersetTI1 = $true) & (setadjoinIR = $true) & (notinemptyset = $true) & (exuI1 = $true) & (binintersectTELcontra = $true) & (notdexE = $true) & (contrasubsetT2 = $true) & (nonemptyE1 = $true) & (cartprodfstin = $true) & (exuE1 = $true) & (kfstsingleton = $true) & (setminusLsub = $true) & (upairinpowunion = $true) & (emptysetE = $true) & (cartprodmempaircEq = $true) & (dpsetconstrSub = $true) & (subsetemptysetimpeq = $true) & (setOfPairsIsBReln = $true) & (doubleComplementSub1 = $true) & (setukpairinjR1 = $true) & (symdiffI1 = $true) & (ifSingleton = $true) & (beta1 = $true) & (iffalse = $true) & (contrasubsetT = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem3 = $true) & (emptyset__Cong = $true) & (subbreln = $true) & (funcGraphProp3 = $true) & (app = $true) & (binunionIL = $true) & (binunionTILcontra = $true) & (powersetE1 = $true) & (dpsetconstrERa = $true) & (nonemptyImpWitness = $true) & (uniqinunit = $true) & (inPowerset = $true) & (powersetI = $true) & (emptysetimpfalse = $true) & (bs114d = $true) & (omegaIndAx = $true) & (iftrueProp2 = $true) & (setminusELneg = $true) & (theprop = $true) & (singletoninpowerset = $true) & (setukpairinjR11 = $true) & (setukpairIR = $true) & (iftrueorfalse = $true) & (descrp = $true) & (inCongP = $true) & (ifp = $true) & (ap2p = $true) & (singletonsswitch = $true) & (powerset__Cong = $true) & (eqinunit = $true) & (setukpairIL = $true) & (kfstpairEq = $true) & (binunionTEcontra = $true) & (setminusER = $true) & (binintersectLsub = $true) & (binintersectSubset2 = $true) & (apProp = $true) & (upairsetIL = $true) & (binunionTIRcontra = $true) & (binunionRsub = $true) & (eta2 = $true) & (powersetsubset = $true) & (singletonsubset = $true) & (cartprodfstpairEq = $true) & (descr__Cong = $true) & (quantDeMorgan1 = $true) & (complementTI1 = $true) & (ap2apEq2 = $true) & (exuE3e = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan4 = $true) & (binintersectEL = $true) & (ex1E2 = $true) & (theeq = $true) & (kpairsurjEq = $true) & (setukpairinjR2 = $true) & (demorgan1a = $true) & (binintersectT_lem = $true) & (omega0Ax = $true) & (setminusIRneg = $true) & (setminusEL = $true) & (complementImpComplementIntersect = $true) & (exuE3u = $true) & (setadjoinAx = $true) & (inIntersectImpInUnion2 = $true) & (setadjoinSub = $true) & (nonemptyI = $true) & (emptysetAx = $true) & (setextsub = $true) & (funcext2 = $true) & (ex1I = $true) & (emptyinunitempty = $true) & (powersetAx = $true) & (notequalI2 = $true) & (complementUnionInPowersetComplement = $true) & (demorgan1 = $true) & (cartprodpairsurjEq = $true) & (emptyinPowerset = $true) & (funcGraphProp2 = $true) & (binintersectSubset5 = $true) & (powersetTE1 = $true) & (subsetTI = $true) & (omegaSAx = $true) & (symdiffIneg1 = $true) & (setunionI = $true) & (setadjoin__Cong = $true) & (vacuousDall = $true) & (prop2set2propI = $true) & (ksndpairEq = $true) & (binintersectTERcontra = $true) & (dsetconstr__Cong = $true) & (foundationAx = $true) & (sepSubset = $true) & (contrasubsetT1 = $true) & (intersectInPowersetIntersectUnions = $true) & (notdallE = $true) & (inComplementUnionImpNotIn1 = $true) & (cartprodmempair1 = $true) & (contraSubsetComplement = $true) & (doubleComplementSub2 = $true) & (setextT = $true) & (binunionLsub = $true) & (upairsubunion = $true) & (setbeta = $true) & (dsetconstrEL = $true) & (exuEu = $true) & (cartprodpairin = $true) & (doubleComplementE1 = $true) & (exuE2 = $true) & (doubleComplementI1 = $true) & (emptyE1 = $true) & (setunionsingleton2 = $true) & (powersetT_lem = $true) & (infuncsetfunc = $true) & (subPowSU = $true) & (setunionE = $true) & (symdiffI2 = $true) & (notsubsetI = $true) & (emptyInPowerset = $true) & (iftrueProp1 = $true) & (ex1E1 = $true) & (contrasubsetT3 = $true) & (sepInPowerset = $true) & (iftrue = $true) & (setminusILneg = $true) & (eqimpsubset1 = $true) & (emptysetsubset = $true) & (in__Cong = $true) & (kpairp = $true) & (setukpairinjL = $true) & (cartprodmempair = $true) & (brelnall1 = $true) & (subsetRefl = $true) & (demorgan2a2 = $true) & (binunionTE = $true) & (ksndsingleton = $true) & (setunionsingleton1 = $true) & (complementTcontraSubset = $true) & (omega__Cong = $true) & (quantDeMorgan3 = $true) & (iffalseProp1 = $true) & (ubforcartprodlem1 = $true) & (funcGraphProp4 = $true) & (eta1 = $true) & (setadjoinOr = $true) & (doubleComplementEq = $true) & (binunionT_lem = $true) & (singletonsuniq = $true) & (exuI2 = $true) & (inIntersectImpInIntersectUnions = $true) & (setunionE2 = $true) & (binunionEcases = $true) & (setukpairinjL1 = $true) & (setukpairinjR = $true) & (setminusI = $true) & (prop2setI = $true) & (setunion__Cong = $true) & (subsetE2 = $true) & (ubforcartprodlem2 = $true) & (dsetconstrER = $true) & (subsetE = $true) & (notinsingleton = $true) & (funcImageSingleton = $true) & (((in @ sK70 @ (powerset @ sK69)) = $true) & ((((in @ sK72 @ (binintersect @ (setminus @ sK69 @ sK70) @ (setminus @ sK69 @ sK71))) != $true) & ((in @ sK72 @ (setminus @ sK69 @ (binunion @ sK70 @ sK71))) = $true) & ((in @ sK72 @ sK69) = $true)) & ((in @ sK71 @ (powerset @ sK69)) = $true))) & (iffalseProp2 = $true) & (symdiffE = $true) & (dpsetconstrEL1 = $true) & (binintersectSubset4 = $true) & (demorgan2a1 = $true) & (binintersectER = $true) & (setadjoinSub2 = $true) & (cartprodpairmemER = $true) & (dpsetconstrI = $true) & (binintersectI = $true) & (setminusSubset2 = $true) & (subsetI2 = $true) & (setadjoinIL = $true) & (cartprodsndpairEq = $true) & (dpsetconstrER = $true) & (upairsetE = $true) & (singletoninpowunion = $true) & (prop2setE = $true) & (upairset2E = $true) & (emptyI = $true) & (complementT_lem = $true) & (singletonprop = $true) & (exu__Cong = $true) & (setminusSubset1 = $true) & (powersetI1 = $true) & (ap2apEq1 = $true) & (cartprodsndin = $true) & (complementSubsetComplementIntersect = $true) & (setext = $true) & (funcext = $true) & (disjointsetsI1 = $true) & (kpairiskpair = $true) & (inComplementUnionImpInComplement1 = $true) & (eqbreln = $true) & (setminusT_lem = $true) & (setunionsingleton = $true) & (exuI3 = $true) & (complementInPowersetComplementIntersect = $true) & (subsetTrans = $true) & (wellorderingAx = $true) & (lamProp = $true) & (binintersectSubset3 = $true) & (setoftrueEq = $true) & (dpsetconstrEL2 = $true) & (funcGraphProp1 = $true) & (subset2powerset = $true) & (powersetE = $true) & (upairset2IR = $true)),
% 1.17/0.77    inference(skolemisation,[status(esa),new_symbols(skolem,[sK69,sK70,sK71,sK72])],[f964,f1308,f1307,f1306])).
% 1.17/0.77  thf(f1306,plain,(
% 1.17/0.77    ? [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) & ? [X2] : (? [X3] : (((in @ X3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2))) != $true) & ((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) = $true) & ((in @ X3 @ X0) = $true)) & ((in @ X2 @ (powerset @ X0)) = $true))) => (((in @ sK70 @ (powerset @ sK69)) = $true) & ? [X2] : (? [X3] : (((in @ X3 @ (binintersect @ (setminus @ sK69 @ sK70) @ (setminus @ sK69 @ X2))) != $true) & ((in @ X3 @ (setminus @ sK69 @ (binunion @ sK70 @ X2))) = $true) & ((in @ X3 @ sK69) = $true)) & ((in @ X2 @ (powerset @ sK69)) = $true)))),
% 1.17/0.77    introduced(choice_axiom,[])).
% 1.17/0.77  thf(f1307,plain,(
% 1.17/0.77    ? [X2] : (? [X3] : (((in @ X3 @ (binintersect @ (setminus @ sK69 @ sK70) @ (setminus @ sK69 @ X2))) != $true) & ((in @ X3 @ (setminus @ sK69 @ (binunion @ sK70 @ X2))) = $true) & ((in @ X3 @ sK69) = $true)) & ((in @ X2 @ (powerset @ sK69)) = $true)) => (? [X3] : (((in @ X3 @ (binintersect @ (setminus @ sK69 @ sK70) @ (setminus @ sK69 @ sK71))) != $true) & ($true = (in @ X3 @ (setminus @ sK69 @ (binunion @ sK70 @ sK71)))) & ((in @ X3 @ sK69) = $true)) & ((in @ sK71 @ (powerset @ sK69)) = $true))),
% 1.17/0.77    introduced(choice_axiom,[])).
% 1.17/0.77  thf(f1308,plain,(
% 1.17/0.77    ? [X3] : (((in @ X3 @ (binintersect @ (setminus @ sK69 @ sK70) @ (setminus @ sK69 @ sK71))) != $true) & ($true = (in @ X3 @ (setminus @ sK69 @ (binunion @ sK70 @ sK71)))) & ((in @ X3 @ sK69) = $true)) => (((in @ sK72 @ (binintersect @ (setminus @ sK69 @ sK70) @ (setminus @ sK69 @ sK71))) != $true) & ((in @ sK72 @ (setminus @ sK69 @ (binunion @ sK70 @ sK71))) = $true) & ((in @ sK72 @ sK69) = $true))),
% 1.17/0.77    introduced(choice_axiom,[])).
% 1.17/0.77  thf(f964,plain,(
% 1.17/0.77    (binintersectSubset1 = $true) & (beta2 = $true) & (lamp = $true) & (secondinupair = $true) & (setminusERneg = $true) & (dsetconstrI = $true) & (funcinfuncset = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (replAx = $true) & (nonemptyI1 = $true) & (complementTnotintersectT = $true) & (ex1I2 = $true) & (symdiffIneg2 = $true) & (setextAx = $true) & (binintersectRsub = $true) & (setukpairinjR12 = $true) & (upairsetIR = $true) & (binunionE = $true) & (notequalI1 = $true) & (demorgan1b = $true) & (inIntersectImpInUnion = $true) & (lam2p = $true) & (setunionAx = $true) & (binunionIR = $true) & (brelnall2 = $true) & (noeltsimpempty = $true) & (funcextLem = $true) & (lam2lamEq = $true) & (setadjoinE = $true) & (cartprodpairmemEL = $true) & (complementTE1 = $true) & (upairequniteq = $true) & (powersetTI1 = $true) & (setadjoinIR = $true) & (notinemptyset = $true) & (exuI1 = $true) & (binintersectTELcontra = $true) & (notdexE = $true) & (contrasubsetT2 = $true) & (nonemptyE1 = $true) & (cartprodfstin = $true) & (exuE1 = $true) & (kfstsingleton = $true) & (setminusLsub = $true) & (upairinpowunion = $true) & (emptysetE = $true) & (cartprodmempaircEq = $true) & (dpsetconstrSub = $true) & (subsetemptysetimpeq = $true) & (setOfPairsIsBReln = $true) & (doubleComplementSub1 = $true) & (setukpairinjR1 = $true) & (symdiffI1 = $true) & (ifSingleton = $true) & (beta1 = $true) & (iffalse = $true) & (contrasubsetT = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem3 = $true) & (emptyset__Cong = $true) & (subbreln = $true) & (funcGraphProp3 = $true) & (app = $true) & (binunionIL = $true) & (binunionTILcontra = $true) & (powersetE1 = $true) & (dpsetconstrERa = $true) & (nonemptyImpWitness = $true) & (uniqinunit = $true) & (inPowerset = $true) & (powersetI = $true) & (emptysetimpfalse = $true) & (bs114d = $true) & (omegaIndAx = $true) & (iftrueProp2 = $true) & (setminusELneg = $true) & (theprop = $true) & (singletoninpowerset = $true) & (setukpairinjR11 = $true) & (setukpairIR = $true) & (iftrueorfalse = $true) & (descrp = $true) & (inCongP = $true) & (ifp = $true) & (ap2p = $true) & (singletonsswitch = $true) & (powerset__Cong = $true) & (eqinunit = $true) & (setukpairIL = $true) & (kfstpairEq = $true) & (binunionTEcontra = $true) & (setminusER = $true) & (binintersectLsub = $true) & (binintersectSubset2 = $true) & (apProp = $true) & (upairsetIL = $true) & (binunionTIRcontra = $true) & (binunionRsub = $true) & (eta2 = $true) & (powersetsubset = $true) & (singletonsubset = $true) & (cartprodfstpairEq = $true) & (descr__Cong = $true) & (quantDeMorgan1 = $true) & (complementTI1 = $true) & (ap2apEq2 = $true) & (exuE3e = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan4 = $true) & (binintersectEL = $true) & (ex1E2 = $true) & (theeq = $true) & (kpairsurjEq = $true) & (setukpairinjR2 = $true) & (demorgan1a = $true) & (binintersectT_lem = $true) & (omega0Ax = $true) & (setminusIRneg = $true) & (setminusEL = $true) & (complementImpComplementIntersect = $true) & (exuE3u = $true) & (setadjoinAx = $true) & (inIntersectImpInUnion2 = $true) & (setadjoinSub = $true) & (nonemptyI = $true) & (emptysetAx = $true) & (setextsub = $true) & (funcext2 = $true) & (ex1I = $true) & (emptyinunitempty = $true) & (powersetAx = $true) & (notequalI2 = $true) & (complementUnionInPowersetComplement = $true) & (demorgan1 = $true) & (cartprodpairsurjEq = $true) & (emptyinPowerset = $true) & (funcGraphProp2 = $true) & (binintersectSubset5 = $true) & (powersetTE1 = $true) & (subsetTI = $true) & (omegaSAx = $true) & (symdiffIneg1 = $true) & (setunionI = $true) & (setadjoin__Cong = $true) & (vacuousDall = $true) & (prop2set2propI = $true) & (ksndpairEq = $true) & (binintersectTERcontra = $true) & (dsetconstr__Cong = $true) & (foundationAx = $true) & (sepSubset = $true) & (contrasubsetT1 = $true) & (intersectInPowersetIntersectUnions = $true) & (notdallE = $true) & (inComplementUnionImpNotIn1 = $true) & (cartprodmempair1 = $true) & (contraSubsetComplement = $true) & (doubleComplementSub2 = $true) & (setextT = $true) & (binunionLsub = $true) & (upairsubunion = $true) & (setbeta = $true) & (dsetconstrEL = $true) & (exuEu = $true) & (cartprodpairin = $true) & (doubleComplementE1 = $true) & (exuE2 = $true) & (doubleComplementI1 = $true) & (emptyE1 = $true) & (setunionsingleton2 = $true) & (powersetT_lem = $true) & (infuncsetfunc = $true) & (subPowSU = $true) & (setunionE = $true) & (symdiffI2 = $true) & (notsubsetI = $true) & (emptyInPowerset = $true) & (iftrueProp1 = $true) & (ex1E1 = $true) & (contrasubsetT3 = $true) & (sepInPowerset = $true) & (iftrue = $true) & (setminusILneg = $true) & (eqimpsubset1 = $true) & (emptysetsubset = $true) & (in__Cong = $true) & (kpairp = $true) & (setukpairinjL = $true) & (cartprodmempair = $true) & (brelnall1 = $true) & (subsetRefl = $true) & (demorgan2a2 = $true) & (binunionTE = $true) & (ksndsingleton = $true) & (setunionsingleton1 = $true) & (complementTcontraSubset = $true) & (omega__Cong = $true) & (quantDeMorgan3 = $true) & (iffalseProp1 = $true) & (ubforcartprodlem1 = $true) & (funcGraphProp4 = $true) & (eta1 = $true) & (setadjoinOr = $true) & (doubleComplementEq = $true) & (binunionT_lem = $true) & (singletonsuniq = $true) & (exuI2 = $true) & (inIntersectImpInIntersectUnions = $true) & (setunionE2 = $true) & (binunionEcases = $true) & (setukpairinjL1 = $true) & (setukpairinjR = $true) & (setminusI = $true) & (prop2setI = $true) & (setunion__Cong = $true) & (subsetE2 = $true) & (ubforcartprodlem2 = $true) & (dsetconstrER = $true) & (subsetE = $true) & (notinsingleton = $true) & (funcImageSingleton = $true) & ? [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) & ? [X2] : (? [X3] : (((in @ X3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2))) != $true) & ((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) = $true) & ((in @ X3 @ X0) = $true)) & ((in @ X2 @ (powerset @ X0)) = $true))) & (iffalseProp2 = $true) & (symdiffE = $true) & (dpsetconstrEL1 = $true) & (binintersectSubset4 = $true) & (demorgan2a1 = $true) & (binintersectER = $true) & (setadjoinSub2 = $true) & (cartprodpairmemER = $true) & (dpsetconstrI = $true) & (binintersectI = $true) & (setminusSubset2 = $true) & (subsetI2 = $true) & (setadjoinIL = $true) & (cartprodsndpairEq = $true) & (dpsetconstrER = $true) & (upairsetE = $true) & (singletoninpowunion = $true) & (prop2setE = $true) & (upairset2E = $true) & (emptyI = $true) & (complementT_lem = $true) & (singletonprop = $true) & (exu__Cong = $true) & (setminusSubset1 = $true) & (powersetI1 = $true) & (ap2apEq1 = $true) & (cartprodsndin = $true) & (complementSubsetComplementIntersect = $true) & (setext = $true) & (funcext = $true) & (disjointsetsI1 = $true) & (kpairiskpair = $true) & (inComplementUnionImpInComplement1 = $true) & (eqbreln = $true) & (setminusT_lem = $true) & (setunionsingleton = $true) & (exuI3 = $true) & (complementInPowersetComplementIntersect = $true) & (subsetTrans = $true) & (wellorderingAx = $true) & (lamProp = $true) & (binintersectSubset3 = $true) & (setoftrueEq = $true) & (dpsetconstrEL2 = $true) & (funcGraphProp1 = $true) & (subset2powerset = $true) & (powersetE = $true) & (upairset2IR = $true)),
% 1.17/0.77    inference(flattening,[],[f963])).
% 1.17/0.77  thf(f963,plain,(
% 1.17/0.77    (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : ((((in @ X3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2))) != $true) & ((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) = $true)) & ((in @ X3 @ X0) = $true)) & ((in @ X2 @ (powerset @ X0)) = $true)) & ($true = (in @ X1 @ (powerset @ X0)))) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 1.17/0.77    inference(ennf_transformation,[],[f679])).
% 1.17/0.77  thf(f679,plain,(
% 1.17/0.77    ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ! [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) => ! [X2] : (((in @ X2 @ (powerset @ X0)) = $true) => ! [X3] : (((in @ X3 @ X0) = $true) => (((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) = $true) => ((in @ X3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2))) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.17/0.77    inference(fool_elimination,[],[f678])).
% 1.17/0.77  thf(f678,plain,(
% 1.17/0.77    ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => ! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => ! [X2] : ((in @ X2 @ (powerset @ X0)) => ! [X3] : ((in @ X3 @ X0) => ((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) => (in @ X3 @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.17/0.77    inference(rectify,[],[f276])).
% 1.17/0.77  thf(f276,negated_conjecture,(
% 1.17/0.77    ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (setminus @ X3 @ (binunion @ X11 @ X16))) => (in @ X1 @ (binintersect @ (setminus @ X3 @ X11) @ (setminus @ X3 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.17/0.77    inference(negated_conjecture,[],[f275])).
% 1.17/0.77  thf(f275,conjecture,(
% 1.17/0.77    setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (setminus @ X3 @ (binunion @ X11 @ X16))) => (in @ X1 @ (binintersect @ (setminus @ X3 @ X11) @ (setminus @ X3 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.17/0.77    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',demorgan2a)).
% 1.17/0.77  thf(f4321,plain,(
% 1.17/0.77    (demorgan2a2 != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) = $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4320])).
% 1.17/0.77  thf(f4320,plain,(
% 1.17/0.77    ($true != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) = $true) | (demorgan2a2 != $true)),
% 1.17/0.77    inference(forward_demodulation,[],[f4319,f2666])).
% 1.17/0.77  thf(f2666,plain,(
% 1.17/0.77    ((in @ sK70 @ (powerset @ sK69)) = $true)),
% 1.17/0.77    inference(cnf_transformation,[],[f1309])).
% 1.17/0.77  thf(f4319,plain,(
% 1.17/0.77    ((in @ sK70 @ (powerset @ sK69)) != $true) | (demorgan2a2 != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) = $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4318])).
% 1.17/0.77  thf(f4318,plain,(
% 1.17/0.77    ($true != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) = $true) | (demorgan2a2 != $true) | ((in @ sK70 @ (powerset @ sK69)) != $true)),
% 1.17/0.77    inference(forward_demodulation,[],[f4317,f2662])).
% 1.17/0.77  thf(f2662,plain,(
% 1.17/0.77    ((in @ sK71 @ (powerset @ sK69)) = $true)),
% 1.17/0.77    inference(cnf_transformation,[],[f1309])).
% 1.17/0.77  thf(f4317,plain,(
% 1.17/0.77    ((in @ sK71 @ (powerset @ sK69)) != $true) | (demorgan2a2 != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) = $true) | ((in @ sK70 @ (powerset @ sK69)) != $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4316])).
% 1.17/0.77  thf(f4316,plain,(
% 1.17/0.77    ($true != $true) | (demorgan2a2 != $true) | ((in @ sK71 @ (powerset @ sK69)) != $true) | ((in @ sK70 @ (powerset @ sK69)) != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) = $true)),
% 1.17/0.77    inference(forward_demodulation,[],[f4258,f2663])).
% 1.17/0.77  thf(f2663,plain,(
% 1.17/0.77    ((in @ sK72 @ sK69) = $true)),
% 1.17/0.77    inference(cnf_transformation,[],[f1309])).
% 1.17/0.77  thf(f4258,plain,(
% 1.17/0.77    ((in @ sK72 @ sK69) != $true) | ((in @ sK71 @ (powerset @ sK69)) != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) = $true) | (demorgan2a2 != $true) | ((in @ sK70 @ (powerset @ sK69)) != $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4243])).
% 1.17/0.77  thf(f4243,plain,(
% 1.17/0.77    ((in @ sK72 @ sK69) != $true) | (demorgan2a2 != $true) | ((in @ sK71 @ (powerset @ sK69)) != $true) | ($true != $true) | ((in @ sK70 @ (powerset @ sK69)) != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) = $true)),
% 1.17/0.77    inference(superposition,[],[f3651,f2664])).
% 1.17/0.77  thf(f2664,plain,(
% 1.17/0.77    ((in @ sK72 @ (setminus @ sK69 @ (binunion @ sK70 @ sK71))) = $true)),
% 1.17/0.77    inference(cnf_transformation,[],[f1309])).
% 1.17/0.77  thf(f3651,plain,(
% 1.17/0.77    ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X3 @ (setminus @ X1 @ (binunion @ X0 @ X2))) != $true) | (demorgan2a2 != $true) | ((in @ X2 @ (powerset @ X1)) != $true) | ((in @ X3 @ (setminus @ X1 @ X2)) = $true) | ((in @ X0 @ (powerset @ X1)) != $true) | ((in @ X3 @ X1) != $true)) )),
% 1.17/0.77    inference(cnf_transformation,[],[f2176])).
% 1.17/0.77  thf(f2176,plain,(
% 1.17/0.77    (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) != $true) | ! [X2] : (! [X3] : (((in @ X3 @ (setminus @ X1 @ (binunion @ X0 @ X2))) != $true) | ((in @ X3 @ X1) != $true) | ((in @ X3 @ (setminus @ X1 @ X2)) = $true)) | ((in @ X2 @ (powerset @ X1)) != $true))) | (demorgan2a2 != $true)) & ((demorgan2a2 = $true) | (((in @ sK633 @ (powerset @ sK634)) = $true) & ((((in @ sK636 @ (setminus @ sK634 @ (binunion @ sK633 @ sK635))) = $true) & ($true = (in @ sK636 @ sK634)) & ((in @ sK636 @ (setminus @ sK634 @ sK635)) != $true)) & ((in @ sK635 @ (powerset @ sK634)) = $true))))),
% 1.17/0.77    inference(skolemisation,[status(esa),new_symbols(skolem,[sK633,sK634,sK635,sK636])],[f2172,f2175,f2174,f2173])).
% 1.17/0.77  thf(f2173,plain,(
% 1.17/0.77    ? [X4,X5] : (((in @ X4 @ (powerset @ X5)) = $true) & ? [X6] : (? [X7] : (((in @ X7 @ (setminus @ X5 @ (binunion @ X4 @ X6))) = $true) & ((in @ X7 @ X5) = $true) & ((in @ X7 @ (setminus @ X5 @ X6)) != $true)) & ((in @ X6 @ (powerset @ X5)) = $true))) => (((in @ sK633 @ (powerset @ sK634)) = $true) & ? [X6] : (? [X7] : (((in @ X7 @ (setminus @ sK634 @ (binunion @ sK633 @ X6))) = $true) & ($true = (in @ X7 @ sK634)) & ((in @ X7 @ (setminus @ sK634 @ X6)) != $true)) & ($true = (in @ X6 @ (powerset @ sK634)))))),
% 1.17/0.77    introduced(choice_axiom,[])).
% 1.17/0.77  thf(f2174,plain,(
% 1.17/0.77    ? [X6] : (? [X7] : (((in @ X7 @ (setminus @ sK634 @ (binunion @ sK633 @ X6))) = $true) & ($true = (in @ X7 @ sK634)) & ((in @ X7 @ (setminus @ sK634 @ X6)) != $true)) & ($true = (in @ X6 @ (powerset @ sK634)))) => (? [X7] : (((in @ X7 @ (setminus @ sK634 @ (binunion @ sK633 @ sK635))) = $true) & ($true = (in @ X7 @ sK634)) & ((in @ X7 @ (setminus @ sK634 @ sK635)) != $true)) & ((in @ sK635 @ (powerset @ sK634)) = $true))),
% 1.17/0.77    introduced(choice_axiom,[])).
% 1.17/0.77  thf(f2175,plain,(
% 1.17/0.77    ? [X7] : (((in @ X7 @ (setminus @ sK634 @ (binunion @ sK633 @ sK635))) = $true) & ($true = (in @ X7 @ sK634)) & ((in @ X7 @ (setminus @ sK634 @ sK635)) != $true)) => (((in @ sK636 @ (setminus @ sK634 @ (binunion @ sK633 @ sK635))) = $true) & ($true = (in @ sK636 @ sK634)) & ((in @ sK636 @ (setminus @ sK634 @ sK635)) != $true))),
% 1.17/0.77    introduced(choice_axiom,[])).
% 1.17/0.77  thf(f2172,plain,(
% 1.17/0.77    (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) != $true) | ! [X2] : (! [X3] : (((in @ X3 @ (setminus @ X1 @ (binunion @ X0 @ X2))) != $true) | ((in @ X3 @ X1) != $true) | ((in @ X3 @ (setminus @ X1 @ X2)) = $true)) | ((in @ X2 @ (powerset @ X1)) != $true))) | (demorgan2a2 != $true)) & ((demorgan2a2 = $true) | ? [X4,X5] : (((in @ X4 @ (powerset @ X5)) = $true) & ? [X6] : (? [X7] : (((in @ X7 @ (setminus @ X5 @ (binunion @ X4 @ X6))) = $true) & ((in @ X7 @ X5) = $true) & ((in @ X7 @ (setminus @ X5 @ X6)) != $true)) & ((in @ X6 @ (powerset @ X5)) = $true))))),
% 1.17/0.77    inference(rectify,[],[f2171])).
% 1.17/0.77  thf(f2171,plain,(
% 1.17/0.77    (! [X0,X1] : (((in @ X0 @ (powerset @ X1)) != $true) | ! [X2] : (! [X3] : (((in @ X3 @ (setminus @ X1 @ (binunion @ X0 @ X2))) != $true) | ((in @ X3 @ X1) != $true) | ((in @ X3 @ (setminus @ X1 @ X2)) = $true)) | ((in @ X2 @ (powerset @ X1)) != $true))) | (demorgan2a2 != $true)) & ((demorgan2a2 = $true) | ? [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) & ? [X2] : (? [X3] : (((in @ X3 @ (setminus @ X1 @ (binunion @ X0 @ X2))) = $true) & ((in @ X3 @ X1) = $true) & ((in @ X3 @ (setminus @ X1 @ X2)) != $true)) & ((in @ X2 @ (powerset @ X1)) = $true))))),
% 1.17/0.77    inference(nnf_transformation,[],[f1178])).
% 1.17/0.77  thf(f1178,plain,(
% 1.17/0.77    ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) != $true) | ! [X2] : (! [X3] : (((in @ X3 @ (setminus @ X1 @ (binunion @ X0 @ X2))) != $true) | ((in @ X3 @ X1) != $true) | ((in @ X3 @ (setminus @ X1 @ X2)) = $true)) | ((in @ X2 @ (powerset @ X1)) != $true))) <=> (demorgan2a2 = $true)),
% 1.17/0.77    inference(flattening,[],[f1177])).
% 1.17/0.77  thf(f1177,plain,(
% 1.17/0.77    ! [X0,X1] : (! [X2] : (! [X3] : ((((in @ X3 @ (setminus @ X1 @ X2)) = $true) | ((in @ X3 @ (setminus @ X1 @ (binunion @ X0 @ X2))) != $true)) | ((in @ X3 @ X1) != $true)) | ((in @ X2 @ (powerset @ X1)) != $true)) | ((in @ X0 @ (powerset @ X1)) != $true)) <=> (demorgan2a2 = $true)),
% 1.17/0.77    inference(ennf_transformation,[],[f487])).
% 1.17/0.77  thf(f487,plain,(
% 1.17/0.77    ! [X0,X1] : (((in @ X0 @ (powerset @ X1)) = $true) => ! [X2] : (((in @ X2 @ (powerset @ X1)) = $true) => ! [X3] : (((in @ X3 @ X1) = $true) => (((in @ X3 @ (setminus @ X1 @ (binunion @ X0 @ X2))) = $true) => ((in @ X3 @ (setminus @ X1 @ X2)) = $true))))) <=> (demorgan2a2 = $true)),
% 1.17/0.77    inference(fool_elimination,[],[f486])).
% 1.17/0.77  thf(f486,plain,(
% 1.17/0.77    (! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => ! [X3] : ((in @ X3 @ X1) => ((in @ X3 @ (setminus @ X1 @ (binunion @ X0 @ X2))) => (in @ X3 @ (setminus @ X1 @ X2)))))) = demorgan2a2)),
% 1.17/0.77    inference(rectify,[],[f271])).
% 1.17/0.77  thf(f271,axiom,(
% 1.17/0.77    (! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (setminus @ X3 @ (binunion @ X11 @ X16))) => (in @ X1 @ (setminus @ X3 @ X16)))))) = demorgan2a2)),
% 1.17/0.77    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',demorgan2a2)).
% 1.17/0.77  thf(f4560,plain,(
% 1.17/0.77    spl873_15),
% 1.17/0.77    inference(avatar_split_clause,[],[f4272,f4378])).
% 1.17/0.77  thf(f4378,plain,(
% 1.17/0.77    spl873_15 <=> ((in @ sK72 @ (setminus @ sK69 @ sK70)) = $true)),
% 1.17/0.77    introduced(avatar_definition,[new_symbols(naming,[spl873_15])])).
% 1.17/0.77  thf(f4272,plain,(
% 1.17/0.77    ((in @ sK72 @ (setminus @ sK69 @ sK70)) = $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4271])).
% 1.17/0.77  thf(f4271,plain,(
% 1.17/0.77    ($true != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK70)) = $true)),
% 1.17/0.77    inference(forward_demodulation,[],[f4270,f2657])).
% 1.17/0.77  thf(f2657,plain,(
% 1.17/0.77    (demorgan2a1 = $true)),
% 1.17/0.77    inference(cnf_transformation,[],[f1309])).
% 1.17/0.77  thf(f4270,plain,(
% 1.17/0.77    ((in @ sK72 @ (setminus @ sK69 @ sK70)) = $true) | (demorgan2a1 != $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4269])).
% 1.17/0.77  thf(f4269,plain,(
% 1.17/0.77    ($true != $true) | (demorgan2a1 != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK70)) = $true)),
% 1.17/0.77    inference(forward_demodulation,[],[f4268,f2666])).
% 1.17/0.77  thf(f4268,plain,(
% 1.17/0.77    ((in @ sK70 @ (powerset @ sK69)) != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK70)) = $true) | (demorgan2a1 != $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4267])).
% 1.17/0.77  thf(f4267,plain,(
% 1.17/0.77    (demorgan2a1 != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK70)) = $true) | ((in @ sK70 @ (powerset @ sK69)) != $true) | ($true != $true)),
% 1.17/0.77    inference(forward_demodulation,[],[f4266,f2662])).
% 1.17/0.77  thf(f4266,plain,(
% 1.17/0.77    ((in @ sK71 @ (powerset @ sK69)) != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK70)) = $true) | ((in @ sK70 @ (powerset @ sK69)) != $true) | (demorgan2a1 != $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4265])).
% 1.17/0.77  thf(f4265,plain,(
% 1.17/0.77    ((in @ sK70 @ (powerset @ sK69)) != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK70)) = $true) | ($true != $true) | (demorgan2a1 != $true) | ((in @ sK71 @ (powerset @ sK69)) != $true)),
% 1.17/0.77    inference(forward_demodulation,[],[f4264,f2663])).
% 1.17/0.77  thf(f4264,plain,(
% 1.17/0.77    ((in @ sK72 @ (setminus @ sK69 @ sK70)) = $true) | ((in @ sK72 @ sK69) != $true) | (demorgan2a1 != $true) | ((in @ sK70 @ (powerset @ sK69)) != $true) | ((in @ sK71 @ (powerset @ sK69)) != $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4244])).
% 1.17/0.77  thf(f4244,plain,(
% 1.17/0.77    ((in @ sK72 @ (setminus @ sK69 @ sK70)) = $true) | (demorgan2a1 != $true) | ((in @ sK70 @ (powerset @ sK69)) != $true) | ((in @ sK71 @ (powerset @ sK69)) != $true) | ($true != $true) | ((in @ sK72 @ sK69) != $true)),
% 1.17/0.77    inference(superposition,[],[f3621,f2664])).
% 1.17/0.77  thf(f3621,plain,(
% 1.17/0.77    ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) != $true) | (demorgan2a1 != $true) | ($true != (in @ X1 @ (powerset @ X0))) | ((in @ X3 @ X0) != $true) | ((in @ X2 @ (powerset @ X0)) != $true) | ((in @ X3 @ (setminus @ X0 @ X1)) = $true)) )),
% 1.17/0.77    inference(cnf_transformation,[],[f2143])).
% 1.17/0.77  thf(f2143,plain,(
% 1.17/0.77    (! [X0,X1] : (($true != (in @ X1 @ (powerset @ X0))) | ! [X2] : (((in @ X2 @ (powerset @ X0)) != $true) | ! [X3] : (((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) != $true) | ((in @ X3 @ X0) != $true) | ((in @ X3 @ (setminus @ X0 @ X1)) = $true)))) | (demorgan2a1 != $true)) & ((demorgan2a1 = $true) | (((in @ sK613 @ (powerset @ sK612)) = $true) & (((in @ sK614 @ (powerset @ sK612)) = $true) & (((in @ sK615 @ (setminus @ sK612 @ (binunion @ sK613 @ sK614))) = $true) & ($true = (in @ sK615 @ sK612)) & ((in @ sK615 @ (setminus @ sK612 @ sK613)) != $true)))))),
% 1.17/0.77    inference(skolemisation,[status(esa),new_symbols(skolem,[sK612,sK613,sK614,sK615])],[f2139,f2142,f2141,f2140])).
% 1.17/0.77  thf(f2140,plain,(
% 1.17/0.77    ? [X4,X5] : (((in @ X5 @ (powerset @ X4)) = $true) & ? [X6] : (((in @ X6 @ (powerset @ X4)) = $true) & ? [X7] : (((in @ X7 @ (setminus @ X4 @ (binunion @ X5 @ X6))) = $true) & ((in @ X7 @ X4) = $true) & ((in @ X7 @ (setminus @ X4 @ X5)) != $true)))) => (((in @ sK613 @ (powerset @ sK612)) = $true) & ? [X6] : (((in @ X6 @ (powerset @ sK612)) = $true) & ? [X7] : (((in @ X7 @ (setminus @ sK612 @ (binunion @ sK613 @ X6))) = $true) & ((in @ X7 @ sK612) = $true) & ((in @ X7 @ (setminus @ sK612 @ sK613)) != $true))))),
% 1.17/0.77    introduced(choice_axiom,[])).
% 1.17/0.77  thf(f2141,plain,(
% 1.17/0.77    ? [X6] : (((in @ X6 @ (powerset @ sK612)) = $true) & ? [X7] : (((in @ X7 @ (setminus @ sK612 @ (binunion @ sK613 @ X6))) = $true) & ((in @ X7 @ sK612) = $true) & ((in @ X7 @ (setminus @ sK612 @ sK613)) != $true))) => (((in @ sK614 @ (powerset @ sK612)) = $true) & ? [X7] : (($true = (in @ X7 @ (setminus @ sK612 @ (binunion @ sK613 @ sK614)))) & ((in @ X7 @ sK612) = $true) & ((in @ X7 @ (setminus @ sK612 @ sK613)) != $true)))),
% 1.17/0.77    introduced(choice_axiom,[])).
% 1.17/0.77  thf(f2142,plain,(
% 1.17/0.77    ? [X7] : (($true = (in @ X7 @ (setminus @ sK612 @ (binunion @ sK613 @ sK614)))) & ((in @ X7 @ sK612) = $true) & ((in @ X7 @ (setminus @ sK612 @ sK613)) != $true)) => (((in @ sK615 @ (setminus @ sK612 @ (binunion @ sK613 @ sK614))) = $true) & ($true = (in @ sK615 @ sK612)) & ((in @ sK615 @ (setminus @ sK612 @ sK613)) != $true))),
% 1.17/0.77    introduced(choice_axiom,[])).
% 1.17/0.77  thf(f2139,plain,(
% 1.17/0.77    (! [X0,X1] : (($true != (in @ X1 @ (powerset @ X0))) | ! [X2] : (((in @ X2 @ (powerset @ X0)) != $true) | ! [X3] : (((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) != $true) | ((in @ X3 @ X0) != $true) | ((in @ X3 @ (setminus @ X0 @ X1)) = $true)))) | (demorgan2a1 != $true)) & ((demorgan2a1 = $true) | ? [X4,X5] : (((in @ X5 @ (powerset @ X4)) = $true) & ? [X6] : (((in @ X6 @ (powerset @ X4)) = $true) & ? [X7] : (((in @ X7 @ (setminus @ X4 @ (binunion @ X5 @ X6))) = $true) & ((in @ X7 @ X4) = $true) & ((in @ X7 @ (setminus @ X4 @ X5)) != $true)))))),
% 1.17/0.77    inference(rectify,[],[f2138])).
% 1.17/0.77  thf(f2138,plain,(
% 1.17/0.77    (! [X0,X1] : (($true != (in @ X1 @ (powerset @ X0))) | ! [X2] : (((in @ X2 @ (powerset @ X0)) != $true) | ! [X3] : (((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) != $true) | ((in @ X3 @ X0) != $true) | ((in @ X3 @ (setminus @ X0 @ X1)) = $true)))) | (demorgan2a1 != $true)) & ((demorgan2a1 = $true) | ? [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) & ? [X2] : (((in @ X2 @ (powerset @ X0)) = $true) & ? [X3] : (((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) = $true) & ((in @ X3 @ X0) = $true) & ((in @ X3 @ (setminus @ X0 @ X1)) != $true)))))),
% 1.17/0.77    inference(nnf_transformation,[],[f1054])).
% 1.17/0.77  thf(f1054,plain,(
% 1.17/0.77    ! [X0,X1] : (($true != (in @ X1 @ (powerset @ X0))) | ! [X2] : (((in @ X2 @ (powerset @ X0)) != $true) | ! [X3] : (((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) != $true) | ((in @ X3 @ X0) != $true) | ((in @ X3 @ (setminus @ X0 @ X1)) = $true)))) <=> (demorgan2a1 = $true)),
% 1.17/0.77    inference(flattening,[],[f1053])).
% 1.17/0.77  thf(f1053,plain,(
% 1.17/0.77    (demorgan2a1 = $true) <=> ! [X0,X1] : (! [X2] : (! [X3] : ((((in @ X3 @ (setminus @ X0 @ X1)) = $true) | ((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) != $true)) | ((in @ X3 @ X0) != $true)) | ((in @ X2 @ (powerset @ X0)) != $true)) | ($true != (in @ X1 @ (powerset @ X0))))),
% 1.17/0.77    inference(ennf_transformation,[],[f563])).
% 1.17/0.77  thf(f563,plain,(
% 1.17/0.77    (demorgan2a1 = $true) <=> ! [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) => ! [X2] : (((in @ X2 @ (powerset @ X0)) = $true) => ! [X3] : (((in @ X3 @ X0) = $true) => (((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) = $true) => ((in @ X3 @ (setminus @ X0 @ X1)) = $true)))))),
% 1.17/0.77    inference(fool_elimination,[],[f562])).
% 1.17/0.77  thf(f562,plain,(
% 1.17/0.77    (! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => ! [X2] : ((in @ X2 @ (powerset @ X0)) => ! [X3] : ((in @ X3 @ X0) => ((in @ X3 @ (setminus @ X0 @ (binunion @ X1 @ X2))) => (in @ X3 @ (setminus @ X0 @ X1)))))) = demorgan2a1)),
% 1.17/0.77    inference(rectify,[],[f269])).
% 1.17/0.77  thf(f269,axiom,(
% 1.17/0.77    (! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ (setminus @ X3 @ (binunion @ X11 @ X16))) => (in @ X1 @ (setminus @ X3 @ X11)))))) = demorgan2a1)),
% 1.17/0.77    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',demorgan2a1)).
% 1.17/0.77  thf(f4394,plain,(
% 1.17/0.77    ~spl873_15 | ~spl873_17),
% 1.17/0.77    inference(avatar_split_clause,[],[f4389,f4391,f4378])).
% 1.17/0.77  thf(f4389,plain,(
% 1.17/0.77    ((in @ sK72 @ (setminus @ sK69 @ sK70)) != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) != $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4388])).
% 1.17/0.77  thf(f4388,plain,(
% 1.17/0.77    ((in @ sK72 @ (setminus @ sK69 @ sK70)) != $true) | ($true != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) != $true)),
% 1.17/0.77    inference(forward_demodulation,[],[f4366,f2652])).
% 1.17/0.77  thf(f2652,plain,(
% 1.17/0.77    (binintersectI = $true)),
% 1.17/0.77    inference(cnf_transformation,[],[f1309])).
% 1.17/0.77  thf(f4366,plain,(
% 1.17/0.77    ((in @ sK72 @ (setminus @ sK69 @ sK70)) != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) != $true) | (binintersectI != $true)),
% 1.17/0.77    inference(trivial_inequality_removal,[],[f4361])).
% 1.17/0.77  thf(f4361,plain,(
% 1.17/0.77    ($true != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK71)) != $true) | (binintersectI != $true) | ((in @ sK72 @ (setminus @ sK69 @ sK70)) != $true)),
% 1.17/0.77    inference(superposition,[],[f2665,f3242])).
% 1.17/0.77  thf(f3242,plain,(
% 1.17/0.77    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X0 @ (binintersect @ X1 @ X2)) = $true) | ((in @ X0 @ X2) != $true) | ($true != (in @ X0 @ X1)) | (binintersectI != $true)) )),
% 1.17/0.77    inference(cnf_transformation,[],[f1698])).
% 1.17/0.77  thf(f1698,plain,(
% 1.17/0.77    (! [X0,X1,X2] : (($true != (in @ X0 @ X1)) | ((in @ X0 @ (binintersect @ X1 @ X2)) = $true) | ((in @ X0 @ X2) != $true)) | (binintersectI != $true)) & ((binintersectI = $true) | (((in @ sK315 @ sK316) = $true) & ((in @ sK315 @ (binintersect @ sK316 @ sK317)) != $true) & ((in @ sK315 @ sK317) = $true)))),
% 1.17/0.77    inference(skolemisation,[status(esa),new_symbols(skolem,[sK315,sK316,sK317])],[f1696,f1697])).
% 1.17/0.77  thf(f1697,plain,(
% 1.17/0.77    ? [X3,X4,X5] : (((in @ X3 @ X4) = $true) & ((in @ X3 @ (binintersect @ X4 @ X5)) != $true) & ((in @ X3 @ X5) = $true)) => (((in @ sK315 @ sK316) = $true) & ((in @ sK315 @ (binintersect @ sK316 @ sK317)) != $true) & ((in @ sK315 @ sK317) = $true))),
% 1.17/0.77    introduced(choice_axiom,[])).
% 1.17/0.77  thf(f1696,plain,(
% 1.17/0.77    (! [X0,X1,X2] : (($true != (in @ X0 @ X1)) | ((in @ X0 @ (binintersect @ X1 @ X2)) = $true) | ((in @ X0 @ X2) != $true)) | (binintersectI != $true)) & ((binintersectI = $true) | ? [X3,X4,X5] : (((in @ X3 @ X4) = $true) & ((in @ X3 @ (binintersect @ X4 @ X5)) != $true) & ((in @ X3 @ X5) = $true)))),
% 1.17/0.77    inference(rectify,[],[f1695])).
% 1.17/0.77  thf(f1695,plain,(
% 1.17/0.77    (! [X0,X1,X2] : (($true != (in @ X0 @ X1)) | ((in @ X0 @ (binintersect @ X1 @ X2)) = $true) | ((in @ X0 @ X2) != $true)) | (binintersectI != $true)) & ((binintersectI = $true) | ? [X0,X1,X2] : (($true = (in @ X0 @ X1)) & ((in @ X0 @ (binintersect @ X1 @ X2)) != $true) & ((in @ X0 @ X2) = $true)))),
% 1.17/0.77    inference(nnf_transformation,[],[f975])).
% 1.17/0.77  thf(f975,plain,(
% 1.17/0.77    ! [X0,X1,X2] : (($true != (in @ X0 @ X1)) | ((in @ X0 @ (binintersect @ X1 @ X2)) = $true) | ((in @ X0 @ X2) != $true)) <=> (binintersectI = $true)),
% 1.17/0.77    inference(flattening,[],[f974])).
% 1.17/0.77  thf(f974,plain,(
% 1.17/0.77    (binintersectI = $true) <=> ! [X0,X1,X2] : ((((in @ X0 @ (binintersect @ X1 @ X2)) = $true) | ((in @ X0 @ X2) != $true)) | ($true != (in @ X0 @ X1)))),
% 1.17/0.77    inference(ennf_transformation,[],[f437])).
% 1.17/0.77  thf(f437,plain,(
% 1.17/0.77    (binintersectI = $true) <=> ! [X0,X1,X2] : (($true = (in @ X0 @ X1)) => (((in @ X0 @ X2) = $true) => ((in @ X0 @ (binintersect @ X1 @ X2)) = $true)))),
% 1.17/0.77    inference(fool_elimination,[],[f436])).
% 1.17/0.77  thf(f436,plain,(
% 1.17/0.77    (! [X0,X1,X2] : ((in @ X0 @ X1) => ((in @ X0 @ X2) => (in @ X0 @ (binintersect @ X1 @ X2)))) = binintersectI)),
% 1.17/0.77    inference(rectify,[],[f108])).
% 1.17/0.77  thf(f108,axiom,(
% 1.17/0.77    (! [X1,X3,X4] : ((in @ X1 @ X3) => ((in @ X1 @ X4) => (in @ X1 @ (binintersect @ X3 @ X4)))) = binintersectI)),
% 1.17/0.77    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectI)).
% 1.17/0.77  thf(f2665,plain,(
% 1.17/0.77    ((in @ sK72 @ (binintersect @ (setminus @ sK69 @ sK70) @ (setminus @ sK69 @ sK71))) != $true)),
% 1.17/0.77    inference(cnf_transformation,[],[f1309])).
% 1.17/0.77  % SZS output end Proof for theBenchmark
% 1.17/0.77  % (28408)------------------------------
% 1.17/0.77  % (28408)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.17/0.77  % (28408)Termination reason: Refutation
% 1.17/0.77  
% 1.17/0.77  % (28408)Memory used [KB]: 10618
% 1.17/0.77  % (28408)Time elapsed: 0.129 s
% 1.17/0.77  % (28408)Instructions burned: 359 (million)
% 1.17/0.77  % (28408)------------------------------
% 1.17/0.77  % (28408)------------------------------
% 1.17/0.77  % (28171)Success in time 0.389 s
% 1.17/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------