TSTP Solution File: SEU715^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEU715^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 15:42:43 EDT 2024
% Result : Theorem 2.48s 0.72s
% Output : Refutation 2.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU715^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 18:12:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.39 % (3246)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.39 % (3247)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.39 % (3249)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.39 % (3248)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.12/0.39 % (3250)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.39 % (3251)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.12/0.39 % (3252)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.40 % (3249)Instruction limit reached!
% 0.12/0.40 % (3249)------------------------------
% 0.12/0.40 % (3249)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (3249)Termination reason: Unknown
% 0.12/0.40 % (3249)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (3249)Memory used [KB]: 1407
% 0.12/0.40 % (3249)Time elapsed: 0.003 s
% 0.12/0.40 % (3249)Instructions burned: 2 (million)
% 0.12/0.40 % (3249)------------------------------
% 0.12/0.40 % (3249)------------------------------
% 0.12/0.40 % (3250)Instruction limit reached!
% 0.12/0.40 % (3250)------------------------------
% 0.12/0.40 % (3250)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (3250)Termination reason: Unknown
% 0.12/0.40 % (3250)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (3250)Memory used [KB]: 1407
% 0.12/0.40 % (3250)Time elapsed: 0.003 s
% 0.12/0.40 % (3250)Instructions burned: 2 (million)
% 0.12/0.40 % (3250)------------------------------
% 0.12/0.40 % (3250)------------------------------
% 0.12/0.40 % (3247)Instruction limit reached!
% 0.12/0.40 % (3247)------------------------------
% 0.12/0.40 % (3247)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (3247)Termination reason: Unknown
% 0.12/0.40 % (3247)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (3247)Memory used [KB]: 1535
% 0.12/0.40 % (3247)Time elapsed: 0.005 s
% 0.12/0.40 % (3247)Instructions burned: 5 (million)
% 0.12/0.40 % (3247)------------------------------
% 0.12/0.40 % (3247)------------------------------
% 0.12/0.41 % (3252)Instruction limit reached!
% 0.12/0.41 % (3252)------------------------------
% 0.12/0.41 % (3252)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.41 % (3252)Termination reason: Unknown
% 0.12/0.41 % (3252)Termination phase: shuffling
% 0.12/0.41
% 0.12/0.41 % (3252)Memory used [KB]: 1791
% 0.12/0.41 % (3252)Time elapsed: 0.014 s
% 0.12/0.41 % (3252)Instructions burned: 18 (million)
% 0.12/0.41 % (3252)------------------------------
% 0.12/0.41 % (3252)------------------------------
% 0.12/0.41 % (3248)Instruction limit reached!
% 0.12/0.41 % (3248)------------------------------
% 0.12/0.41 % (3248)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.41 % (3248)Termination reason: Unknown
% 0.12/0.41 % (3248)Termination phase: shuffling
% 0.12/0.41
% 0.12/0.41 % (3248)Memory used [KB]: 1918
% 0.12/0.41 % (3248)Time elapsed: 0.017 s
% 0.12/0.41 % (3248)Instructions burned: 28 (million)
% 0.12/0.41 % (3248)------------------------------
% 0.12/0.41 % (3248)------------------------------
% 0.12/0.41 % (3258)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.41 % (3259)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.41 % (3258)Instruction limit reached!
% 0.21/0.41 % (3258)------------------------------
% 0.21/0.41 % (3258)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (3258)Termination reason: Unknown
% 0.21/0.41 % (3258)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (3258)Memory used [KB]: 1407
% 0.21/0.41 % (3258)Time elapsed: 0.004 s
% 0.21/0.41 % (3258)Instructions burned: 3 (million)
% 0.21/0.41 % (3258)------------------------------
% 0.21/0.41 % (3258)------------------------------
% 0.21/0.41 % (3261)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.42 % (3268)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (3261)Instruction limit reached!
% 0.21/0.42 % (3261)------------------------------
% 0.21/0.42 % (3261)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (3261)Termination reason: Unknown
% 0.21/0.42 % (3261)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (3261)Memory used [KB]: 1791
% 0.21/0.42 % (3261)Time elapsed: 0.013 s
% 0.21/0.42 % (3261)Instructions burned: 16 (million)
% 0.21/0.42 % (3261)------------------------------
% 0.21/0.42 % (3261)------------------------------
% 0.21/0.43 % (3268)Instruction limit reached!
% 0.21/0.43 % (3268)------------------------------
% 0.21/0.43 % (3268)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (3268)Termination reason: Unknown
% 0.21/0.43 % (3268)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (3268)Memory used [KB]: 1407
% 0.21/0.43 % (3268)Time elapsed: 0.005 s
% 0.21/0.43 % (3268)Instructions burned: 4 (million)
% 0.21/0.43 % (3268)------------------------------
% 0.21/0.43 % (3268)------------------------------
% 0.21/0.43 % (3272)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.43 % (3278)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43 % (3259)Instruction limit reached!
% 0.21/0.43 % (3259)------------------------------
% 0.21/0.43 % (3259)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (3259)Termination reason: Unknown
% 0.21/0.43 % (3259)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (3259)Memory used [KB]: 2302
% 0.21/0.43 % (3259)Time elapsed: 0.022 s
% 0.21/0.43 % (3259)Instructions burned: 38 (million)
% 0.21/0.43 % (3259)------------------------------
% 0.21/0.43 % (3259)------------------------------
% 0.21/0.43 % (3278)Instruction limit reached!
% 0.21/0.43 % (3278)------------------------------
% 0.21/0.43 % (3278)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (3278)Termination reason: Unknown
% 0.21/0.43 % (3278)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (3278)Memory used [KB]: 1535
% 0.21/0.43 % (3278)Time elapsed: 0.007 s
% 0.21/0.43 % (3278)Instructions burned: 8 (million)
% 0.21/0.43 % (3278)------------------------------
% 0.21/0.43 % (3278)------------------------------
% 0.21/0.44 % (3283)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.44 % (3285)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.44 % (3285)Instruction limit reached!
% 0.21/0.44 % (3285)------------------------------
% 0.21/0.44 % (3285)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (3285)Termination reason: Unknown
% 0.21/0.44 % (3285)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (3285)Memory used [KB]: 1407
% 0.21/0.44 % (3285)Time elapsed: 0.005 s
% 0.21/0.44 % (3285)Instructions burned: 4 (million)
% 0.21/0.44 % (3285)------------------------------
% 0.21/0.44 % (3285)------------------------------
% 0.21/0.45 % (3289)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.45 % (3283)Instruction limit reached!
% 0.21/0.45 % (3283)------------------------------
% 0.21/0.45 % (3283)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (3283)Termination reason: Unknown
% 0.21/0.45 % (3283)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (3283)Memory used [KB]: 1791
% 0.21/0.45 % (3283)Time elapsed: 0.011 s
% 0.21/0.45 % (3283)Instructions burned: 16 (million)
% 0.21/0.45 % (3283)------------------------------
% 0.21/0.45 % (3283)------------------------------
% 0.21/0.45 % (3289)Instruction limit reached!
% 0.21/0.45 % (3289)------------------------------
% 0.21/0.45 % (3289)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (3289)Termination reason: Unknown
% 0.21/0.45 % (3289)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (3289)Memory used [KB]: 1407
% 0.21/0.45 % (3289)Time elapsed: 0.004 s
% 0.21/0.45 % (3289)Instructions burned: 3 (million)
% 0.21/0.45 % (3289)------------------------------
% 0.21/0.45 % (3289)------------------------------
% 0.21/0.45 % (3291)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.45 % (3291)Instruction limit reached!
% 0.21/0.45 % (3291)------------------------------
% 0.21/0.45 % (3291)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (3291)Termination reason: Unknown
% 0.21/0.45 % (3291)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (3291)Memory used [KB]: 1535
% 0.21/0.45 % (3291)Time elapsed: 0.007 s
% 0.21/0.45 % (3291)Instructions burned: 8 (million)
% 0.21/0.45 % (3291)------------------------------
% 0.21/0.45 % (3291)------------------------------
% 0.21/0.46 % (3302)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.46 % (3302)Instruction limit reached!
% 0.21/0.46 % (3302)------------------------------
% 0.21/0.46 % (3302)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (3302)Termination reason: Unknown
% 0.21/0.46 % (3302)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (3302)Memory used [KB]: 1407
% 0.21/0.46 % (3302)Time elapsed: 0.004 s
% 0.21/0.46 % (3302)Instructions burned: 3 (million)
% 0.21/0.46 % (3302)------------------------------
% 0.21/0.46 % (3302)------------------------------
% 0.21/0.46 % (3307)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.47 % (3308)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.47 % (3310)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.47 % (3307)Instruction limit reached!
% 0.21/0.47 % (3307)------------------------------
% 0.21/0.47 % (3307)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (3307)Termination reason: Unknown
% 0.21/0.47 % (3307)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (3307)Memory used [KB]: 1407
% 0.21/0.47 % (3307)Time elapsed: 0.005 s
% 0.21/0.47 % (3307)Instructions burned: 5 (million)
% 0.21/0.47 % (3307)------------------------------
% 0.21/0.47 % (3307)------------------------------
% 0.21/0.47 % (3308)Instruction limit reached!
% 0.21/0.47 % (3308)------------------------------
% 0.21/0.47 % (3308)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (3308)Termination reason: Unknown
% 0.21/0.47 % (3308)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (3308)Memory used [KB]: 1791
% 0.21/0.47 % (3308)Time elapsed: 0.011 s
% 0.21/0.47 % (3308)Instructions burned: 18 (million)
% 0.21/0.47 % (3308)------------------------------
% 0.21/0.47 % (3308)------------------------------
% 0.21/0.48 % (3315)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.48 % (3315)Instruction limit reached!
% 0.21/0.48 % (3315)------------------------------
% 0.21/0.48 % (3315)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (3315)Termination reason: Unknown
% 0.21/0.48 % (3315)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (3315)Memory used [KB]: 1535
% 0.21/0.48 % (3315)Time elapsed: 0.004 s
% 0.21/0.48 % (3315)Instructions burned: 6 (million)
% 0.21/0.48 % (3315)------------------------------
% 0.21/0.48 % (3315)------------------------------
% 0.21/0.48 % (3319)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.48 % (3327)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 (2998ds/21Mi)
% 0.21/0.49 % (3246)Instruction limit reached!
% 0.21/0.49 % (3246)------------------------------
% 0.21/0.49 % (3246)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (3246)Termination reason: Unknown
% 0.21/0.49 % (3246)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (3246)Memory used [KB]: 7675
% 0.21/0.49 % (3246)Time elapsed: 0.095 s
% 0.21/0.49 % (3246)Instructions burned: 185 (million)
% 0.21/0.49 % (3246)------------------------------
% 0.21/0.49 % (3246)------------------------------
% 0.21/0.49 % (3332)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.21/0.49 % (3332)Instruction limit reached!
% 0.21/0.49 % (3332)------------------------------
% 0.21/0.49 % (3332)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (3332)Termination reason: Unknown
% 0.21/0.49 % (3332)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (3332)Memory used [KB]: 1535
% 0.21/0.49 % (3332)Time elapsed: 0.003 s
% 0.21/0.49 % (3332)Instructions burned: 5 (million)
% 0.21/0.49 % (3332)------------------------------
% 0.21/0.49 % (3332)------------------------------
% 0.21/0.49 % (3327)Instruction limit reached!
% 0.21/0.49 % (3327)------------------------------
% 0.21/0.49 % (3327)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (3327)Termination reason: Unknown
% 0.21/0.49 % (3327)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (3327)Memory used [KB]: 1918
% 0.21/0.49 % (3327)Time elapsed: 0.008 s
% 0.21/0.49 % (3327)Instructions burned: 22 (million)
% 0.21/0.49 % (3327)------------------------------
% 0.21/0.49 % (3327)------------------------------
% 0.21/0.50 % (3336)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 (2998ds/6Mi)
% 0.21/0.50 % (3337)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.50 % (3338)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 (2998ds/779Mi)
% 0.21/0.50 % (3336)Instruction limit reached!
% 0.21/0.50 % (3336)------------------------------
% 0.21/0.50 % (3336)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50 % (3336)Termination reason: Unknown
% 0.21/0.50 % (3336)Termination phase: shuffling
% 0.21/0.50
% 0.21/0.50 % (3336)Memory used [KB]: 1535
% 0.21/0.50 % (3336)Time elapsed: 0.004 s
% 0.21/0.50 % (3336)Instructions burned: 9 (million)
% 0.21/0.50 % (3336)------------------------------
% 0.21/0.50 % (3336)------------------------------
% 0.21/0.51 % (3343)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 (2998ds/19Mi)
% 0.21/0.52 % (3343)Instruction limit reached!
% 0.21/0.52 % (3343)------------------------------
% 0.21/0.52 % (3343)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52 % (3343)Termination reason: Unknown
% 0.21/0.52 % (3343)Termination phase: shuffling
% 0.21/0.52
% 0.21/0.52 % (3343)Memory used [KB]: 1791
% 0.21/0.52 % (3343)Time elapsed: 0.007 s
% 0.21/0.52 % (3343)Instructions burned: 20 (million)
% 0.21/0.52 % (3343)------------------------------
% 0.21/0.52 % (3343)------------------------------
% 0.21/0.52 % (3251)Instruction limit reached!
% 0.21/0.52 % (3251)------------------------------
% 0.21/0.52 % (3251)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52 % (3251)Termination reason: Unknown
% 0.21/0.52 % (3251)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (3251)Memory used [KB]: 9338
% 0.21/0.52 % (3251)Time elapsed: 0.132 s
% 0.21/0.52 % (3251)Instructions burned: 277 (million)
% 0.21/0.52 % (3251)------------------------------
% 0.21/0.52 % (3251)------------------------------
% 0.21/0.53 % (3354)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.53 % (3360)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.54 % (3360)Instruction limit reached!
% 0.21/0.54 % (3360)------------------------------
% 0.21/0.54 % (3360)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.54 % (3360)Termination reason: Unknown
% 0.21/0.54 % (3360)Termination phase: shuffling
% 0.21/0.54
% 0.21/0.54 % (3360)Memory used [KB]: 1791
% 0.21/0.54 % (3360)Time elapsed: 0.007 s
% 0.21/0.54 % (3360)Instructions burned: 19 (million)
% 0.21/0.54 % (3360)------------------------------
% 0.21/0.54 % (3360)------------------------------
% 0.21/0.55 % (3365)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.55 % (3365)Instruction limit reached!
% 0.21/0.55 % (3365)------------------------------
% 0.21/0.55 % (3365)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.55 % (3365)Termination reason: Unknown
% 0.21/0.55 % (3365)Termination phase: shuffling
% 0.21/0.55
% 0.21/0.55 % (3365)Memory used [KB]: 1407
% 0.21/0.55 % (3365)Time elapsed: 0.003 s
% 0.21/0.55 % (3365)Instructions burned: 3 (million)
% 0.21/0.55 % (3365)------------------------------
% 0.21/0.55 % (3365)------------------------------
% 0.21/0.56 % (3369)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.57 % (3369)Instruction limit reached!
% 0.21/0.57 % (3369)------------------------------
% 0.21/0.57 % (3369)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.57 % (3369)Termination reason: Unknown
% 0.21/0.57 % (3369)Termination phase: shuffling
% 0.21/0.57
% 0.21/0.57 % (3369)Memory used [KB]: 2046
% 0.21/0.57 % (3369)Time elapsed: 0.011 s
% 0.21/0.57 % (3369)Instructions burned: 30 (million)
% 0.21/0.57 % (3369)------------------------------
% 0.21/0.57 % (3369)------------------------------
% 0.21/0.58 % (3376)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 (2997ds/127Mi)
% 1.77/0.61 % (3376)Instruction limit reached!
% 1.77/0.61 % (3376)------------------------------
% 1.77/0.61 % (3376)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.77/0.61 % (3376)Termination reason: Unknown
% 1.77/0.61 % (3376)Termination phase: Saturation
% 1.77/0.61
% 1.77/0.61 % (3376)Memory used [KB]: 7036
% 1.77/0.61 % (3376)Time elapsed: 0.037 s
% 1.77/0.61 % (3376)Instructions burned: 127 (million)
% 1.77/0.61 % (3376)------------------------------
% 1.77/0.61 % (3376)------------------------------
% 1.77/0.62 % (3337)Instruction limit reached!
% 1.77/0.62 % (3337)------------------------------
% 1.77/0.62 % (3337)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.77/0.62 % (3337)Termination reason: Unknown
% 1.77/0.62 % (3337)Termination phase: Saturation
% 1.77/0.62
% 1.77/0.62 % (3337)Memory used [KB]: 9338
% 1.77/0.62 % (3337)Time elapsed: 0.125 s
% 1.77/0.62 % (3337)Instructions burned: 377 (million)
% 1.77/0.62 % (3337)------------------------------
% 1.77/0.62 % (3337)------------------------------
% 1.77/0.62 % (3381)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 (2997ds/100Mi)
% 1.89/0.63 % (3384)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 (2997ds/3Mi)
% 1.89/0.63 % (3384)Instruction limit reached!
% 1.89/0.63 % (3384)------------------------------
% 1.89/0.63 % (3384)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.89/0.63 % (3384)Termination reason: Unknown
% 1.89/0.63 % (3384)Termination phase: shuffling
% 1.89/0.63
% 1.89/0.63 % (3384)Memory used [KB]: 1407
% 1.89/0.63 % (3384)Time elapsed: 0.002 s
% 1.89/0.63 % (3384)Instructions burned: 3 (million)
% 1.89/0.63 % (3384)------------------------------
% 1.89/0.63 % (3384)------------------------------
% 1.89/0.64 % (3390)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.89/0.65 % (3390)Instruction limit reached!
% 1.89/0.65 % (3390)------------------------------
% 1.89/0.65 % (3390)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.89/0.65 % (3390)Termination reason: Unknown
% 1.89/0.65 % (3390)Termination phase: Property scanning
% 1.89/0.65
% 1.89/0.65 % (3390)Memory used [KB]: 1918
% 1.89/0.65 % (3390)Time elapsed: 0.010 s
% 1.89/0.65 % (3390)Instructions burned: 21 (million)
% 1.89/0.65 % (3390)------------------------------
% 1.89/0.65 % (3390)------------------------------
% 1.89/0.65 % (3381)Instruction limit reached!
% 1.89/0.65 % (3381)------------------------------
% 1.89/0.65 % (3381)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.89/0.65 % (3381)Termination reason: Unknown
% 1.89/0.65 % (3381)Termination phase: Property scanning
% 1.89/0.65
% 1.89/0.65 % (3381)Memory used [KB]: 2430
% 1.89/0.65 % (3381)Time elapsed: 0.030 s
% 1.89/0.65 % (3381)Instructions burned: 100 (million)
% 1.89/0.65 % (3381)------------------------------
% 1.89/0.65 % (3381)------------------------------
% 1.89/0.66 % (3395)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.89/0.66 % (3396)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.89/0.69 % (3395)Instruction limit reached!
% 1.89/0.69 % (3395)------------------------------
% 1.89/0.69 % (3395)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.89/0.69 % (3395)Termination reason: Unknown
% 1.89/0.69 % (3395)Termination phase: Function definition elimination
% 1.89/0.69
% 1.89/0.69 % (3395)Memory used [KB]: 2430
% 1.89/0.69 % (3395)Time elapsed: 0.027 s
% 1.89/0.69 % (3395)Instructions burned: 87 (million)
% 1.89/0.69 % (3395)------------------------------
% 1.89/0.69 % (3395)------------------------------
% 1.89/0.69 % (3396)Instruction limit reached!
% 1.89/0.69 % (3396)------------------------------
% 1.89/0.69 % (3396)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.89/0.69 % (3396)Termination reason: Unknown
% 1.89/0.69 % (3396)Termination phase: Property scanning
% 1.89/0.69
% 1.89/0.69 % (3396)Memory used [KB]: 2558
% 1.89/0.69 % (3396)Time elapsed: 0.032 s
% 1.89/0.69 % (3396)Instructions burned: 110 (million)
% 1.89/0.69 % (3396)------------------------------
% 1.89/0.69 % (3396)------------------------------
% 1.89/0.70 % (3404)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 1.89/0.70 % (3407)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2996ds/448Mi)
% 1.89/0.71 % (3404)Instruction limit reached!
% 1.89/0.71 % (3404)------------------------------
% 1.89/0.71 % (3404)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.89/0.71 % (3404)Termination reason: Unknown
% 1.89/0.71 % (3404)Termination phase: Property scanning
% 1.89/0.71
% 1.89/0.71 % (3404)Memory used [KB]: 2302
% 1.89/0.71 % (3404)Time elapsed: 0.014 s
% 1.89/0.71 % (3404)Instructions burned: 41 (million)
% 1.89/0.71 % (3404)------------------------------
% 1.89/0.71 % (3404)------------------------------
% 1.89/0.71 % (3319)First to succeed.
% 2.48/0.72 % (3413)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2996ds/46Mi)
% 2.48/0.72 % (3319)Refutation found. Thanks to Tanya!
% 2.48/0.72 % SZS status Theorem for theBenchmark
% 2.48/0.72 % SZS output start Proof for theBenchmark
% 2.48/0.72 thf(func_def_0, type, in: $i > $i > $o).
% 2.48/0.72 thf(func_def_1, type, exu: ($i > $o) > $o).
% 2.48/0.72 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 2.48/0.72 thf(func_def_8, type, powerset: $i > $i).
% 2.48/0.72 thf(func_def_10, type, setunion: $i > $i).
% 2.48/0.72 thf(func_def_19, type, descr: ($i > $o) > $i).
% 2.48/0.72 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_26, type, prop2set: $o > $i).
% 2.48/0.72 thf(func_def_36, type, nonempty: $i > $o).
% 2.48/0.72 thf(func_def_69, type, set2prop: $i > $o).
% 2.48/0.72 thf(func_def_88, type, subset: $i > $i > $o).
% 2.48/0.72 thf(func_def_89, type, disjoint: $i > $i > $o).
% 2.48/0.72 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 2.48/0.72 thf(func_def_114, type, binunion: $i > $i > $i).
% 2.48/0.72 thf(func_def_122, type, binintersect: $i > $i > $i).
% 2.48/0.72 thf(func_def_135, type, regular: $i > $o).
% 2.48/0.72 thf(func_def_136, type, setminus: $i > $i > $i).
% 2.48/0.72 thf(func_def_147, type, symdiff: $i > $i > $i).
% 2.48/0.72 thf(func_def_153, type, iskpair: $i > $o).
% 2.48/0.72 thf(func_def_158, type, kpair: $i > $i > $i).
% 2.48/0.72 thf(func_def_160, type, cartprod: $i > $i > $i).
% 2.48/0.72 thf(func_def_177, type, singleton: $i > $o).
% 2.48/0.72 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 2.48/0.72 thf(func_def_184, type, atmost1p: $i > $o).
% 2.48/0.72 thf(func_def_185, type, atleast2p: $i > $o).
% 2.48/0.72 thf(func_def_186, type, atmost2p: $i > $o).
% 2.48/0.72 thf(func_def_187, type, upairsetp: $i > $o).
% 2.48/0.72 thf(func_def_191, type, kfst: $i > $i).
% 2.48/0.72 thf(func_def_203, type, ksnd: $i > $i).
% 2.48/0.72 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 2.48/0.72 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.48/0.72 thf(func_def_222, type, func: $i > $i > $i > $o).
% 2.48/0.72 thf(func_def_223, type, funcSet: $i > $i > $i).
% 2.48/0.72 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 2.48/0.72 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 2.48/0.72 thf(func_def_284, type, sP1: $i > $i > $o).
% 2.48/0.72 thf(func_def_285, type, sP2: $i > $o).
% 2.48/0.72 thf(func_def_286, type, sP3: $i > $i > $o).
% 2.48/0.72 thf(func_def_287, type, sP4: $i > $i > $o).
% 2.48/0.72 thf(func_def_288, type, sP5: $i > $i > $i > $i > $o).
% 2.48/0.72 thf(func_def_290, type, sP7: $o > $i > $i > $i > $o).
% 2.48/0.72 thf(func_def_300, type, sK17: $i > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_301, type, sK18: $i > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_308, type, sK25: $i > $i > $i).
% 2.48/0.72 thf(func_def_310, type, sK27: $i > $i).
% 2.48/0.72 thf(func_def_314, type, sK31: $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_315, type, sK32: $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_319, type, sK36: $i > $o).
% 2.48/0.72 thf(func_def_321, type, sK38: ($i > $i) > $i > $i > $i).
% 2.48/0.72 thf(func_def_324, type, sK41: $i > $i).
% 2.48/0.72 thf(func_def_326, type, sK43: $i > $o).
% 2.48/0.72 thf(func_def_328, type, sK45: ($i > $o) > $i > $i).
% 2.48/0.72 thf(func_def_329, type, sK46: ($i > $o) > $i > $i).
% 2.48/0.72 thf(func_def_330, type, sK47: $i > $o).
% 2.48/0.72 thf(func_def_331, type, sK48: $i > $o).
% 2.48/0.72 thf(func_def_332, type, sK49: ($i > $o) > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_333, type, sK50: ($i > $o) > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_334, type, sK51: $i > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_353, type, sK70: $i > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_354, type, sK71: $i > $o).
% 2.48/0.72 thf(func_def_358, type, sK75: ($i > $o) > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_359, type, sK76: ($i > $o) > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_360, type, sK77: $i > $o).
% 2.48/0.72 thf(func_def_361, type, sK78: $i > $o).
% 2.48/0.72 thf(func_def_367, type, sK84: $i > $o).
% 2.48/0.72 thf(func_def_369, type, sK86: ($i > $o) > $i > $i).
% 2.48/0.72 thf(func_def_371, type, sK88: $i > $o).
% 2.48/0.72 thf(func_def_376, type, sK93: ($i > $o) > $i).
% 2.48/0.72 thf(func_def_377, type, sK94: $i > $o).
% 2.48/0.72 thf(func_def_378, type, sK95: $i > $i).
% 2.48/0.72 thf(func_def_379, type, sK96: $o > $i > $i > $i).
% 2.48/0.72 thf(func_def_388, type, sK105: $i > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_389, type, sK106: $i > $o).
% 2.48/0.72 thf(func_def_413, type, sK130: $i > $i > $o).
% 2.48/0.72 thf(func_def_421, type, sK138: $i > $i > $i).
% 2.48/0.72 thf(func_def_422, type, sK139: $i > $i > $i).
% 2.48/0.72 thf(func_def_423, type, sK140: $i > $i > $i).
% 2.48/0.72 thf(func_def_424, type, sK141: $i > $i > $i).
% 2.48/0.72 thf(func_def_425, type, sK142: $i > $i > $i).
% 2.48/0.72 thf(func_def_426, type, sK143: $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_427, type, sK144: $i > $i).
% 2.48/0.72 thf(func_def_428, type, sK145: $i > $i).
% 2.48/0.72 thf(func_def_429, type, sK146: $i > $i).
% 2.48/0.72 thf(func_def_430, type, sK147: $i > $i).
% 2.48/0.72 thf(func_def_431, type, sK148: $i > $i > $i).
% 2.48/0.72 thf(func_def_432, type, sK149: $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_433, type, sK150: $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_434, type, sK151: $i > $i > $i).
% 2.48/0.72 thf(func_def_435, type, sK152: $i > $i > $i).
% 2.48/0.72 thf(func_def_437, type, sK154: $i > $i).
% 2.48/0.72 thf(func_def_438, type, sK155: $i > $i).
% 2.48/0.72 thf(func_def_439, type, sK156: $i > $i).
% 2.48/0.72 thf(func_def_451, type, sK168: $i > $i > $i).
% 2.48/0.72 thf(func_def_461, type, sK178: $i > $o).
% 2.48/0.72 thf(func_def_483, type, sK200: $i > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_484, type, sK201: $i > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_485, type, sK202: $i > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_486, type, sK203: $i > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_496, type, sK213: $i > $i).
% 2.48/0.72 thf(func_def_517, type, sK234: $i > $o).
% 2.48/0.72 thf(func_def_522, type, sK239: $i > $i > $o).
% 2.48/0.72 thf(func_def_536, type, sK253: $i > $i > $i).
% 2.48/0.72 thf(func_def_537, type, sK254: ($i > $o) > $i).
% 2.48/0.72 thf(func_def_538, type, sK255: $i > $o).
% 2.48/0.72 thf(func_def_539, type, sK256: $i > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_540, type, sK257: $i > $o).
% 2.48/0.72 thf(func_def_546, type, sK263: $i > $i > $o).
% 2.48/0.72 thf(func_def_548, type, sK265: $i > ($i > $i) > $i > $i).
% 2.48/0.72 thf(func_def_550, type, sK267: $i > $i).
% 2.48/0.72 thf(func_def_563, type, sK280: $i > $i > $o).
% 2.48/0.72 thf(func_def_583, type, sK300: $i > $i > $i).
% 2.48/0.72 thf(func_def_596, type, sK313: $i > $o).
% 2.48/0.72 thf(func_def_599, type, sK316: $i > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_600, type, sK317: $i > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_603, type, sK320: $i > $o).
% 2.48/0.72 thf(func_def_606, type, sK323: $i > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_610, type, sK327: $i > $i).
% 2.48/0.72 thf(func_def_638, type, sK355: $i > $i > $i).
% 2.48/0.72 thf(func_def_651, type, sK368: $i > $o).
% 2.48/0.72 thf(func_def_660, type, sK377: $i > $o).
% 2.48/0.72 thf(func_def_662, type, sK379: ($i > $o) > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_663, type, sK380: ($i > $o) > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_669, type, sK386: $i > $o).
% 2.48/0.72 thf(func_def_672, type, sK389: $i > $i).
% 2.48/0.72 thf(func_def_678, type, sK395: $i > $i > $o).
% 2.48/0.72 thf(func_def_680, type, sK397: $i > $i).
% 2.48/0.72 thf(func_def_681, type, sK398: $i > $i).
% 2.48/0.72 thf(func_def_682, type, sK399: $i > ($i > $i > $o) > $i).
% 2.48/0.72 thf(func_def_683, type, sK400: $i > ($i > $i > $o) > $i).
% 2.48/0.72 thf(func_def_684, type, sK401: $i > $i > ($i > $i > $o) > $i).
% 2.48/0.72 thf(func_def_687, type, sK404: ($i > $o) > $i).
% 2.48/0.72 thf(func_def_688, type, sK405: ($i > $o) > $i).
% 2.48/0.72 thf(func_def_689, type, sK406: $i > $o).
% 2.48/0.72 thf(func_def_691, type, sK408: $i > $o).
% 2.48/0.72 thf(func_def_699, type, sK416: $i > $i > $o).
% 2.48/0.72 thf(func_def_720, type, sK437: $i > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_753, type, sK470: ($i > $i) > $i > $i > $i).
% 2.48/0.72 thf(func_def_756, type, sK473: $i > $i).
% 2.48/0.72 thf(func_def_760, type, sK477: $i > $o).
% 2.48/0.72 thf(func_def_762, type, sK479: $i > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_766, type, sK483: ($i > $o) > $i > $i > $i).
% 2.48/0.72 thf(func_def_769, type, sK486: $i > $o).
% 2.48/0.72 thf(func_def_772, type, sK489: $i > $o).
% 2.48/0.72 thf(func_def_783, type, sK500: $i > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_784, type, sK501: $i > $o).
% 2.48/0.72 thf(func_def_799, type, sK516: $i > $o).
% 2.48/0.72 thf(func_def_816, type, sK533: ($i > $o) > $i > $i).
% 2.48/0.72 thf(func_def_818, type, sK535: $i > $o).
% 2.48/0.72 thf(func_def_835, type, sK552: $i > ($i > $i) > $i > $i).
% 2.48/0.72 thf(func_def_837, type, sK554: $i > $i).
% 2.48/0.72 thf(func_def_841, type, sK558: $i > $i > $i).
% 2.48/0.72 thf(func_def_843, type, sK560: $i > $o).
% 2.48/0.72 thf(func_def_855, type, sK572: $i > $i > ($i > $i) > $i).
% 2.48/0.72 thf(func_def_856, type, sK573: $i > $i).
% 2.48/0.72 thf(func_def_862, type, sK579: $i > $i).
% 2.48/0.72 thf(func_def_863, type, sK580: $i > $i).
% 2.48/0.72 thf(func_def_868, type, sK585: $i > $o).
% 2.48/0.72 thf(func_def_869, type, sK586: $i > $i).
% 2.48/0.72 thf(func_def_870, type, sK587: ($i > $o) > $i).
% 2.48/0.72 thf(func_def_877, type, sK594: $i > $i > $i).
% 2.48/0.72 thf(func_def_886, type, sK603: $i > $o).
% 2.48/0.72 thf(func_def_896, type, sK613: $i > $i > $o).
% 2.48/0.72 thf(func_def_908, type, sK625: $i > $o).
% 2.48/0.72 thf(func_def_910, type, sK627: ($i > $o) > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_911, type, sK628: ($i > $o) > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_920, type, sK637: $i > $i > $i > $i > $i).
% 2.48/0.72 thf(func_def_928, type, sK645: $i > $i).
% 2.48/0.72 thf(func_def_930, type, sK647: $i > $i > $o).
% 2.48/0.72 thf(func_def_939, type, sK656: $i > $i).
% 2.48/0.72 thf(func_def_941, type, sK658: ($i > $i) > $i > $i > $i).
% 2.48/0.72 thf(func_def_942, type, sK659: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.48/0.72 thf(func_def_943, type, sK660: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.48/0.72 thf(func_def_946, type, sK663: $i > $o).
% 2.48/0.72 thf(func_def_947, type, sK664: $i > $o).
% 2.48/0.72 thf(func_def_948, type, sK665: $i > ($i > $o) > $i).
% 2.48/0.72 thf(func_def_949, type, sK666: $i > $o).
% 2.48/0.72 thf(func_def_955, type, sK672: $i > $o).
% 2.48/0.72 thf(func_def_958, type, sK675: $i > $i > $i).
% 2.48/0.72 thf(func_def_959, type, sK676: $i > $i > $i).
% 2.48/0.72 thf(func_def_961, type, sK678: $i > $o).
% 2.48/0.72 thf(func_def_1002, type, sK719: $i > $i > $i).
% 2.48/0.72 thf(func_def_1010, type, ph727: !>[X0: $tType]:(X0)).
% 2.48/0.72 thf(f7062,plain,(
% 2.48/0.72 $false),
% 2.48/0.72 inference(avatar_sat_refutation,[],[f6617,f6890,f6921,f6941,f6964,f7052])).
% 2.48/0.72 thf(f7052,plain,(
% 2.48/0.72 ~spl726_77),
% 2.48/0.72 inference(avatar_contradiction_clause,[],[f7051])).
% 2.48/0.72 thf(f7051,plain,(
% 2.48/0.72 $false | ~spl726_77),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f6978])).
% 2.48/0.72 thf(f6978,plain,(
% 2.48/0.72 (sK468 != sK468) | ~spl726_77),
% 2.48/0.72 inference(superposition,[],[f2903,f4764])).
% 2.48/0.72 thf(f4764,plain,(
% 2.48/0.72 (sK468 = sK469) | ~spl726_77),
% 2.48/0.72 inference(avatar_component_clause,[],[f4762])).
% 2.48/0.72 thf(f4762,plain,(
% 2.48/0.72 spl726_77 <=> (sK468 = sK469)),
% 2.48/0.72 introduced(avatar_definition,[new_symbols(naming,[spl726_77])])).
% 2.48/0.72 thf(f2903,plain,(
% 2.48/0.72 (sK468 != sK469)),
% 2.48/0.72 inference(cnf_transformation,[],[f1723])).
% 2.48/0.72 thf(f1723,plain,(
% 2.48/0.72 (sepSubset = $true) & (nonemptyE1 = $true) & (funcGraphProp3 = $true) & (setadjoinOr = $true) & (dsetconstrEL = $true) & (symdiffIneg1 = $true) & (setukpairinjL1 = $true) & (ap2apEq1 = $true) & (binintersectEL = $true) & (cartprodfstpairEq = $true) & (setukpairinjR1 = $true) & (setadjoinIR = $true) & (setunion__Cong = $true) & (subsetemptysetimpeq = $true) & (setukpairinjR11 = $true) & (iftrue = $true) & (singletonsubset = $true) & (ubforcartprodlem2 = $true) & (singletonprop = $true) & (emptyinPowerset = $true) & (ex1I2 = $true) & (omega__Cong = $true) & (powersetE = $true) & (cartprodmempair1 = $true) & (ap2apEq2 = $true) & (prop2setE = $true) & (symdiffI2 = $true) & (complementT_lem = $true) & (upairsetIL = $true) & (binunionRsub = $true) & (funcImageSingleton = $true) & (quantDeMorgan3 = $true) & (binunionIL = $true) & (noeltsimpempty = $true) & (setukpairIR = $true) & (iftrueorfalse = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (notsubsetI = $true) & (lamp = $true) & (dpsetconstrEL2 = $true) & (dsetconstrI = $true) & (binintersectSubset5 = $true) & (kpairp = $true) & (bs114d = $true) & (beta2 = $true) & (exuE1 = $true) & (cartprodsndpairEq = $true) & (nonemptyI1 = $true) & (setunionsingleton = $true) & (ubforcartprodlem1 = $true) & (setextsub = $true) & (binintersectSubset3 = $true) & (eqimpsubset1 = $true) & (exuE2 = $true) & (setukpairinjL = $true) & (eqbreln = $true) & (powersetT_lem = $true) & (in__Cong = $true) & ((! [X3] : (((in @ X3 @ sK467) != $true) | ((in @ X3 @ sK469) != $true) | ((in @ X3 @ sK468) = $true)) & ((in @ sK469 @ (powerset @ sK467)) = $true) & ! [X4] : (($true = (in @ X4 @ sK469)) | ((in @ X4 @ sK468) != $true) | ((in @ X4 @ sK467) != $true)) & (sK468 != sK469)) & ((in @ sK468 @ (powerset @ sK467)) = $true)) & (ifp = $true) & (wellorderingAx = $true) & (cartprodpairsurjEq = $true) & (binintersectSubset4 = $true) & (app = $true) & (ifSingleton = $true) & (binunionEcases = $true) & (brelnall1 = $true) & (binunionIR = $true) & (notequalI2 = $true) & (cartprodpairin = $true) & (binintersectI = $true) & (prop2set2propI = $true) & (foundationAx = $true) & (secondinupair = $true) & (setminusT_lem = $true) & (cartprodfstin = $true) & (setminusERneg = $true) & (notinsingleton = $true) & (setukpairinjR12 = $true) & (funcGraphProp4 = $true) & (upairsubunion = $true) & (setukpairIL = $true) & (notdexE = $true) & (ubforcartprodlem3 = $true) & (iftrueProp2 = $true) & (upairsetE = $true) & (omegaIndAx = $true) & (binintersectER = $true) & (setunionAx = $true) & (subPowSU = $true) & (dpsetconstrI = $true) & (binunionE = $true) & (cartprodpairmemER = $true) & (subset2powerset = $true) & (setextAx = $true) & (emptyset__Cong = $true) & (funcext2 = $true) & (setminusSubset1 = $true) & (setOfPairsIsBReln = $true) & (descrp = $true) & (exuE3e = $true) & (ex1E2 = $true) & (setunionsingleton2 = $true) & (emptysetAx = $true) & (kpairsurjEq = $true) & (exuI2 = $true) & (binintersectLsub = $true) & (funcGraphProp1 = $true) & (lam2p = $true) & (singletonsuniq = $true) & (setminusLsub = $true) & (ksndpairEq = $true) & (nonemptyI = $true) & (setadjoinAx = $true) & (setadjoin__Cong = $true) & (notinemptyset = $true) & (replAx = $true) & (upairset2IR = $true) & (subsetRefl = $true) & (theeq = $true) & (emptysetE = $true) & (brelnall2 = $true) & (quantDeMorgan4 = $true) & (setunionE = $true) & (powersetI1 = $true) & (setunionsingleton1 = $true) & (setadjoinSub = $true) & (notequalI1 = $true) & (dpsetconstrERa = $true) & (dsetconstr__Cong = $true) & (kpairiskpair = $true) & (symdiffI1 = $true) & (setminusI = $true) & (emptyinunitempty = $true) & (setukpairinjR = $true) & (setminusER = $true) & (emptysetsubset = $true) & (eqimpsubset2 = $true) & (setukpairinjR2 = $true) & (setunionI = $true) & (binintersectSubset2 = $true) & (notdallE = $true) & (eta1 = $true) & (apProp = $true) & (iffalseProp1 = $true) & (exuE3u = $true) & (singletonsswitch = $true) & (upairequniteq = $true) & (binintersectSubset1 = $true) & (powerset__Cong = $true) & (cartprodmempaircEq = $true) & (setbeta = $true) & (prop2setI = $true) & (ksndsingleton = $true) & (lamProp = $true) & (powersetAx = $true) & (funcextLem = $true) & (subsetE = $true) & (funcinfuncset = $true) & (exuI1 = $true) & (setminusEL = $true) & (lam2lamEq = $true) & (vacuousDall = $true) & (dsetconstrER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (binintersectRsub = $true) & (eta2 = $true) & (theprop = $true) & (powersetE1 = $true) & (setunionE2 = $true) & (setoftrueEq = $true) & (ex1E1 = $true) & (emptysetimpfalse = $true) & (quantDeMorgan1 = $true) & (setminusELneg = $true) & (ex1I = $true) & (dpsetconstrSub = $true) & (subbreln = $true) & (funcGraphProp2 = $true) & (iffalse = $true) & (subsetTrans = $true) & (symdiffIneg2 = $true) & (setadjoinE = $true) & (setadjoinSub2 = $true) & (subsetE2 = $true) & (singletoninpowerset = $true) & (symdiffE = $true) & (kfstpairEq = $true) & (setadjoinIL = $true) & (disjointsetsI1 = $true) & (upairsetIR = $true) & (emptyI = $true) & (nonemptyImpWitness = $true) & (binunionT_lem = $true) & (emptyE1 = $true) & (exuEu = $true) & (kfstsingleton = $true) & (setukpairinjL2 = $true) & (cartprodmempair = $true) & (upairinpowunion = $true) & (inPowerset = $true) & (beta1 = $true) & (descr__Cong = $true) & (dpsetconstrEL1 = $true) & (setminusSubset2 = $true) & (ap2p = $true) & (binunionLsub = $true) & (infuncsetfunc = $true) & (funcext = $true) & (subsetI1 = $true) & (omegaSAx = $true) & (iffalseProp2 = $true) & (powersetsubset = $true) & (powersetI = $true) & (omega0Ax = $true) & (exu__Cong = $true) & (setminusILneg = $true) & (eqinunit = $true) & (uniqinunit = $true) & (setminusIRneg = $true) & (sepInPowerset = $true) & (inCongP = $true) & (iftrueProp1 = $true) & (subsetI2 = $true) & (exuI3 = $true) & (binintersectT_lem = $true) & (emptyInPowerset = $true) & (setext = $true) & (dpsetconstrER = $true) & (quantDeMorgan2 = $true)),
% 2.48/0.72 inference(skolemisation,[status(esa),new_symbols(skolem,[sK467,sK468,sK469])],[f1720,f1722,f1721])).
% 2.48/0.72 thf(f1721,plain,(
% 2.48/0.72 ? [X0,X1] : (? [X2] : (! [X3] : (($true != (in @ X3 @ X0)) | ((in @ X3 @ X2) != $true) | ((in @ X3 @ X1) = $true)) & ((in @ X2 @ (powerset @ X0)) = $true) & ! [X4] : (((in @ X4 @ X2) = $true) | ((in @ X4 @ X1) != $true) | ((in @ X4 @ X0) != $true)) & (X1 != X2)) & ((in @ X1 @ (powerset @ X0)) = $true)) => (? [X2] : (! [X3] : (((in @ X3 @ sK467) != $true) | ((in @ X3 @ X2) != $true) | ((in @ X3 @ sK468) = $true)) & ($true = (in @ X2 @ (powerset @ sK467))) & ! [X4] : (((in @ X4 @ X2) = $true) | ((in @ X4 @ sK468) != $true) | ((in @ X4 @ sK467) != $true)) & (sK468 != X2)) & ((in @ sK468 @ (powerset @ sK467)) = $true))),
% 2.48/0.72 introduced(choice_axiom,[])).
% 2.48/0.72 thf(f1722,plain,(
% 2.48/0.72 ? [X2] : (! [X3] : (((in @ X3 @ sK467) != $true) | ((in @ X3 @ X2) != $true) | ((in @ X3 @ sK468) = $true)) & ($true = (in @ X2 @ (powerset @ sK467))) & ! [X4] : (((in @ X4 @ X2) = $true) | ((in @ X4 @ sK468) != $true) | ((in @ X4 @ sK467) != $true)) & (sK468 != X2)) => (! [X3] : (((in @ X3 @ sK467) != $true) | ((in @ X3 @ sK469) != $true) | ((in @ X3 @ sK468) = $true)) & ((in @ sK469 @ (powerset @ sK467)) = $true) & ! [X4] : (($true = (in @ X4 @ sK469)) | ((in @ X4 @ sK468) != $true) | ((in @ X4 @ sK467) != $true)) & (sK468 != sK469))),
% 2.48/0.72 introduced(choice_axiom,[])).
% 2.48/0.72 thf(f1720,plain,(
% 2.48/0.72 (sepSubset = $true) & (nonemptyE1 = $true) & (funcGraphProp3 = $true) & (setadjoinOr = $true) & (dsetconstrEL = $true) & (symdiffIneg1 = $true) & (setukpairinjL1 = $true) & (ap2apEq1 = $true) & (binintersectEL = $true) & (cartprodfstpairEq = $true) & (setukpairinjR1 = $true) & (setadjoinIR = $true) & (setunion__Cong = $true) & (subsetemptysetimpeq = $true) & (setukpairinjR11 = $true) & (iftrue = $true) & (singletonsubset = $true) & (ubforcartprodlem2 = $true) & (singletonprop = $true) & (emptyinPowerset = $true) & (ex1I2 = $true) & (omega__Cong = $true) & (powersetE = $true) & (cartprodmempair1 = $true) & (ap2apEq2 = $true) & (prop2setE = $true) & (symdiffI2 = $true) & (complementT_lem = $true) & (upairsetIL = $true) & (binunionRsub = $true) & (funcImageSingleton = $true) & (quantDeMorgan3 = $true) & (binunionIL = $true) & (noeltsimpempty = $true) & (setukpairIR = $true) & (iftrueorfalse = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (notsubsetI = $true) & (lamp = $true) & (dpsetconstrEL2 = $true) & (dsetconstrI = $true) & (binintersectSubset5 = $true) & (kpairp = $true) & (bs114d = $true) & (beta2 = $true) & (exuE1 = $true) & (cartprodsndpairEq = $true) & (nonemptyI1 = $true) & (setunionsingleton = $true) & (ubforcartprodlem1 = $true) & (setextsub = $true) & (binintersectSubset3 = $true) & (eqimpsubset1 = $true) & (exuE2 = $true) & (setukpairinjL = $true) & (eqbreln = $true) & (powersetT_lem = $true) & (in__Cong = $true) & ? [X0,X1] : (? [X2] : (! [X3] : (($true != (in @ X3 @ X0)) | ((in @ X3 @ X2) != $true) | ((in @ X3 @ X1) = $true)) & ((in @ X2 @ (powerset @ X0)) = $true) & ! [X4] : (((in @ X4 @ X2) = $true) | ((in @ X4 @ X1) != $true) | ((in @ X4 @ X0) != $true)) & (X1 != X2)) & ((in @ X1 @ (powerset @ X0)) = $true)) & (ifp = $true) & (wellorderingAx = $true) & (cartprodpairsurjEq = $true) & (binintersectSubset4 = $true) & (app = $true) & (ifSingleton = $true) & (binunionEcases = $true) & (brelnall1 = $true) & (binunionIR = $true) & (notequalI2 = $true) & (cartprodpairin = $true) & (binintersectI = $true) & (prop2set2propI = $true) & (foundationAx = $true) & (secondinupair = $true) & (setminusT_lem = $true) & (cartprodfstin = $true) & (setminusERneg = $true) & (notinsingleton = $true) & (setukpairinjR12 = $true) & (funcGraphProp4 = $true) & (upairsubunion = $true) & (setukpairIL = $true) & (notdexE = $true) & (ubforcartprodlem3 = $true) & (iftrueProp2 = $true) & (upairsetE = $true) & (omegaIndAx = $true) & (binintersectER = $true) & (setunionAx = $true) & (subPowSU = $true) & (dpsetconstrI = $true) & (binunionE = $true) & (cartprodpairmemER = $true) & (subset2powerset = $true) & (setextAx = $true) & (emptyset__Cong = $true) & (funcext2 = $true) & (setminusSubset1 = $true) & (setOfPairsIsBReln = $true) & (descrp = $true) & (exuE3e = $true) & (ex1E2 = $true) & (setunionsingleton2 = $true) & (emptysetAx = $true) & (kpairsurjEq = $true) & (exuI2 = $true) & (binintersectLsub = $true) & (funcGraphProp1 = $true) & (lam2p = $true) & (singletonsuniq = $true) & (setminusLsub = $true) & (ksndpairEq = $true) & (nonemptyI = $true) & (setadjoinAx = $true) & (setadjoin__Cong = $true) & (notinemptyset = $true) & (replAx = $true) & (upairset2IR = $true) & (subsetRefl = $true) & (theeq = $true) & (emptysetE = $true) & (brelnall2 = $true) & (quantDeMorgan4 = $true) & (setunionE = $true) & (powersetI1 = $true) & (setunionsingleton1 = $true) & (setadjoinSub = $true) & (notequalI1 = $true) & (dpsetconstrERa = $true) & (dsetconstr__Cong = $true) & (kpairiskpair = $true) & (symdiffI1 = $true) & (setminusI = $true) & (emptyinunitempty = $true) & (setukpairinjR = $true) & (setminusER = $true) & (emptysetsubset = $true) & (eqimpsubset2 = $true) & (setukpairinjR2 = $true) & (setunionI = $true) & (binintersectSubset2 = $true) & (notdallE = $true) & (eta1 = $true) & (apProp = $true) & (iffalseProp1 = $true) & (exuE3u = $true) & (singletonsswitch = $true) & (upairequniteq = $true) & (binintersectSubset1 = $true) & (powerset__Cong = $true) & (cartprodmempaircEq = $true) & (setbeta = $true) & (prop2setI = $true) & (ksndsingleton = $true) & (lamProp = $true) & (powersetAx = $true) & (funcextLem = $true) & (subsetE = $true) & (funcinfuncset = $true) & (exuI1 = $true) & (setminusEL = $true) & (lam2lamEq = $true) & (vacuousDall = $true) & (dsetconstrER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (binintersectRsub = $true) & (eta2 = $true) & (theprop = $true) & (powersetE1 = $true) & (setunionE2 = $true) & (setoftrueEq = $true) & (ex1E1 = $true) & (emptysetimpfalse = $true) & (quantDeMorgan1 = $true) & (setminusELneg = $true) & (ex1I = $true) & (dpsetconstrSub = $true) & (subbreln = $true) & (funcGraphProp2 = $true) & (iffalse = $true) & (subsetTrans = $true) & (symdiffIneg2 = $true) & (setadjoinE = $true) & (setadjoinSub2 = $true) & (subsetE2 = $true) & (singletoninpowerset = $true) & (symdiffE = $true) & (kfstpairEq = $true) & (setadjoinIL = $true) & (disjointsetsI1 = $true) & (upairsetIR = $true) & (emptyI = $true) & (nonemptyImpWitness = $true) & (binunionT_lem = $true) & (emptyE1 = $true) & (exuEu = $true) & (kfstsingleton = $true) & (setukpairinjL2 = $true) & (cartprodmempair = $true) & (upairinpowunion = $true) & (inPowerset = $true) & (beta1 = $true) & (descr__Cong = $true) & (dpsetconstrEL1 = $true) & (setminusSubset2 = $true) & (ap2p = $true) & (binunionLsub = $true) & (infuncsetfunc = $true) & (funcext = $true) & (subsetI1 = $true) & (omegaSAx = $true) & (iffalseProp2 = $true) & (powersetsubset = $true) & (powersetI = $true) & (omega0Ax = $true) & (exu__Cong = $true) & (setminusILneg = $true) & (eqinunit = $true) & (uniqinunit = $true) & (setminusIRneg = $true) & (sepInPowerset = $true) & (inCongP = $true) & (iftrueProp1 = $true) & (subsetI2 = $true) & (exuI3 = $true) & (binintersectT_lem = $true) & (emptyInPowerset = $true) & (setext = $true) & (dpsetconstrER = $true) & (quantDeMorgan2 = $true)),
% 2.48/0.72 inference(rectify,[],[f909])).
% 2.48/0.72 thf(f909,plain,(
% 2.48/0.72 (sepSubset = $true) & (nonemptyE1 = $true) & (funcGraphProp3 = $true) & (setadjoinOr = $true) & (dsetconstrEL = $true) & (symdiffIneg1 = $true) & (setukpairinjL1 = $true) & (ap2apEq1 = $true) & (binintersectEL = $true) & (cartprodfstpairEq = $true) & (setukpairinjR1 = $true) & (setadjoinIR = $true) & (setunion__Cong = $true) & (subsetemptysetimpeq = $true) & (setukpairinjR11 = $true) & (iftrue = $true) & (singletonsubset = $true) & (ubforcartprodlem2 = $true) & (singletonprop = $true) & (emptyinPowerset = $true) & (ex1I2 = $true) & (omega__Cong = $true) & (powersetE = $true) & (cartprodmempair1 = $true) & (ap2apEq2 = $true) & (prop2setE = $true) & (symdiffI2 = $true) & (complementT_lem = $true) & (upairsetIL = $true) & (binunionRsub = $true) & (funcImageSingleton = $true) & (quantDeMorgan3 = $true) & (binunionIL = $true) & (noeltsimpempty = $true) & (setukpairIR = $true) & (iftrueorfalse = $true) & (upairset2E = $true) & (singletoninpowunion = $true) & (notsubsetI = $true) & (lamp = $true) & (dpsetconstrEL2 = $true) & (dsetconstrI = $true) & (binintersectSubset5 = $true) & (kpairp = $true) & (bs114d = $true) & (beta2 = $true) & (exuE1 = $true) & (cartprodsndpairEq = $true) & (nonemptyI1 = $true) & (setunionsingleton = $true) & (ubforcartprodlem1 = $true) & (setextsub = $true) & (binintersectSubset3 = $true) & (eqimpsubset1 = $true) & (exuE2 = $true) & (setukpairinjL = $true) & (eqbreln = $true) & (powersetT_lem = $true) & (in__Cong = $true) & ? [X0,X1] : (? [X2] : (! [X4] : (((in @ X4 @ X0) != $true) | ((in @ X4 @ X2) != $true) | ((in @ X4 @ X1) = $true)) & ((in @ X2 @ (powerset @ X0)) = $true) & ! [X3] : (((in @ X3 @ X2) = $true) | ((in @ X3 @ X1) != $true) | ($true != (in @ X3 @ X0))) & (X1 != X2)) & ((in @ X1 @ (powerset @ X0)) = $true)) & (ifp = $true) & (wellorderingAx = $true) & (cartprodpairsurjEq = $true) & (binintersectSubset4 = $true) & (app = $true) & (ifSingleton = $true) & (binunionEcases = $true) & (brelnall1 = $true) & (binunionIR = $true) & (notequalI2 = $true) & (cartprodpairin = $true) & (binintersectI = $true) & (prop2set2propI = $true) & (foundationAx = $true) & (secondinupair = $true) & (setminusT_lem = $true) & (cartprodfstin = $true) & (setminusERneg = $true) & (notinsingleton = $true) & (setukpairinjR12 = $true) & (funcGraphProp4 = $true) & (upairsubunion = $true) & (setukpairIL = $true) & (notdexE = $true) & (ubforcartprodlem3 = $true) & (iftrueProp2 = $true) & (upairsetE = $true) & (omegaIndAx = $true) & (binintersectER = $true) & (setunionAx = $true) & (subPowSU = $true) & (dpsetconstrI = $true) & (binunionE = $true) & (cartprodpairmemER = $true) & (subset2powerset = $true) & (setextAx = $true) & (emptyset__Cong = $true) & (funcext2 = $true) & (setminusSubset1 = $true) & (setOfPairsIsBReln = $true) & (descrp = $true) & (exuE3e = $true) & (ex1E2 = $true) & (setunionsingleton2 = $true) & (emptysetAx = $true) & (kpairsurjEq = $true) & (exuI2 = $true) & (binintersectLsub = $true) & (funcGraphProp1 = $true) & (lam2p = $true) & (singletonsuniq = $true) & (setminusLsub = $true) & (ksndpairEq = $true) & (nonemptyI = $true) & (setadjoinAx = $true) & (setadjoin__Cong = $true) & (notinemptyset = $true) & (replAx = $true) & (upairset2IR = $true) & (subsetRefl = $true) & (theeq = $true) & (emptysetE = $true) & (brelnall2 = $true) & (quantDeMorgan4 = $true) & (setunionE = $true) & (powersetI1 = $true) & (setunionsingleton1 = $true) & (setadjoinSub = $true) & (notequalI1 = $true) & (dpsetconstrERa = $true) & (dsetconstr__Cong = $true) & (kpairiskpair = $true) & (symdiffI1 = $true) & (setminusI = $true) & (emptyinunitempty = $true) & (setukpairinjR = $true) & (setminusER = $true) & (emptysetsubset = $true) & (eqimpsubset2 = $true) & (setukpairinjR2 = $true) & (setunionI = $true) & (binintersectSubset2 = $true) & (notdallE = $true) & (eta1 = $true) & (apProp = $true) & (iffalseProp1 = $true) & (exuE3u = $true) & (singletonsswitch = $true) & (upairequniteq = $true) & (binintersectSubset1 = $true) & (powerset__Cong = $true) & (cartprodmempaircEq = $true) & (setbeta = $true) & (prop2setI = $true) & (ksndsingleton = $true) & (lamProp = $true) & (powersetAx = $true) & (funcextLem = $true) & (subsetE = $true) & (funcinfuncset = $true) & (exuI1 = $true) & (setminusEL = $true) & (lam2lamEq = $true) & (vacuousDall = $true) & (dsetconstrER = $true) & (cartprodpairmemEL = $true) & (cartprodsndin = $true) & (binintersectRsub = $true) & (eta2 = $true) & (theprop = $true) & (powersetE1 = $true) & (setunionE2 = $true) & (setoftrueEq = $true) & (ex1E1 = $true) & (emptysetimpfalse = $true) & (quantDeMorgan1 = $true) & (setminusELneg = $true) & (ex1I = $true) & (dpsetconstrSub = $true) & (subbreln = $true) & (funcGraphProp2 = $true) & (iffalse = $true) & (subsetTrans = $true) & (symdiffIneg2 = $true) & (setadjoinE = $true) & (setadjoinSub2 = $true) & (subsetE2 = $true) & (singletoninpowerset = $true) & (symdiffE = $true) & (kfstpairEq = $true) & (setadjoinIL = $true) & (disjointsetsI1 = $true) & (upairsetIR = $true) & (emptyI = $true) & (nonemptyImpWitness = $true) & (binunionT_lem = $true) & (emptyE1 = $true) & (exuEu = $true) & (kfstsingleton = $true) & (setukpairinjL2 = $true) & (cartprodmempair = $true) & (upairinpowunion = $true) & (inPowerset = $true) & (beta1 = $true) & (descr__Cong = $true) & (dpsetconstrEL1 = $true) & (setminusSubset2 = $true) & (ap2p = $true) & (binunionLsub = $true) & (infuncsetfunc = $true) & (funcext = $true) & (subsetI1 = $true) & (omegaSAx = $true) & (iffalseProp2 = $true) & (powersetsubset = $true) & (powersetI = $true) & (omega0Ax = $true) & (exu__Cong = $true) & (setminusILneg = $true) & (eqinunit = $true) & (uniqinunit = $true) & (setminusIRneg = $true) & (sepInPowerset = $true) & (inCongP = $true) & (iftrueProp1 = $true) & (subsetI2 = $true) & (exuI3 = $true) & (binintersectT_lem = $true) & (emptyInPowerset = $true) & (setext = $true) & (dpsetconstrER = $true) & (quantDeMorgan2 = $true)),
% 2.48/0.72 inference(flattening,[],[f908])).
% 2.48/0.72 thf(f908,plain,(
% 2.48/0.72 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : ((((X1 != X2) & ! [X4] : ((((in @ X4 @ X1) = $true) | ((in @ X4 @ X2) != $true)) | ((in @ X4 @ X0) != $true))) & ! [X3] : ((((in @ X3 @ X2) = $true) | ((in @ X3 @ X1) != $true)) | ($true != (in @ X3 @ X0)))) & ((in @ X2 @ (powerset @ X0)) = $true)) & ((in @ X1 @ (powerset @ X0)) = $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)),
% 2.48/0.72 inference(ennf_transformation,[],[f431])).
% 2.48/0.72 thf(f431,plain,(
% 2.48/0.72 ~((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) => ! [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) => ! [X2] : (((in @ X2 @ (powerset @ X0)) = $true) => (! [X3] : (($true = (in @ X3 @ X0)) => (((in @ X3 @ X1) = $true) => ((in @ X3 @ X2) = $true))) => (! [X4] : (((in @ X4 @ X0) = $true) => (((in @ X4 @ X2) = $true) => ((in @ X4 @ X1) = $true))) => (X1 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.48/0.72 inference(fool_elimination,[],[f430])).
% 2.48/0.72 thf(f430,plain,(
% 2.48/0.72 ~(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 => ! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => ! [X2] : ((in @ X2 @ (powerset @ X0)) => (! [X3] : ((in @ X3 @ X0) => ((in @ X3 @ X1) => (in @ X3 @ X2))) => (! [X4] : ((in @ X4 @ X0) => ((in @ X4 @ X2) => (in @ X4 @ X1))) => (X1 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.48/0.72 inference(rectify,[],[f237])).
% 2.48/0.72 thf(f237,negated_conjecture,(
% 2.48/0.72 ~(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 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ X16))) => (! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X16) => (in @ X1 @ X11))) => (X11 = X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.48/0.72 inference(negated_conjecture,[],[f236])).
% 2.48/0.72 thf(f236,conjecture,(
% 2.48/0.72 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 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ X16))) => (! [X1] : ((in @ X1 @ X3) => ((in @ X1 @ X16) => (in @ X1 @ X11))) => (X11 = X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.48/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setextT)).
% 2.48/0.72 thf(f6964,plain,(
% 2.48/0.72 spl726_65 | ~spl726_71),
% 2.48/0.72 inference(avatar_split_clause,[],[f6963,f4634,f4507])).
% 2.48/0.72 thf(f4507,plain,(
% 2.48/0.72 spl726_65 <=> ((subset @ sK469 @ sK468) = $true)),
% 2.48/0.72 introduced(avatar_definition,[new_symbols(naming,[spl726_65])])).
% 2.48/0.72 thf(f4634,plain,(
% 2.48/0.72 spl726_71 <=> ((in @ sK469 @ (powerset @ sK468)) = $true)),
% 2.48/0.72 introduced(avatar_definition,[new_symbols(naming,[spl726_71])])).
% 2.48/0.72 thf(f6963,plain,(
% 2.48/0.72 ((subset @ sK469 @ sK468) = $true) | ~spl726_71),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f6962])).
% 2.48/0.72 thf(f6962,plain,(
% 2.48/0.72 ($true != $true) | ((subset @ sK469 @ sK468) = $true) | ~spl726_71),
% 2.48/0.72 inference(forward_demodulation,[],[f6955,f2791])).
% 2.48/0.72 thf(f2791,plain,(
% 2.48/0.72 (powersetE1 = $true)),
% 2.48/0.72 inference(cnf_transformation,[],[f1723])).
% 2.48/0.72 thf(f6955,plain,(
% 2.48/0.72 ((subset @ sK469 @ sK468) = $true) | (powersetE1 != $true) | ~spl726_71),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f6948])).
% 2.48/0.72 thf(f6948,plain,(
% 2.48/0.72 ($true != $true) | ((subset @ sK469 @ sK468) = $true) | (powersetE1 != $true) | ~spl726_71),
% 2.48/0.72 inference(superposition,[],[f2236,f4636])).
% 2.48/0.72 thf(f4636,plain,(
% 2.48/0.72 ((in @ sK469 @ (powerset @ sK468)) = $true) | ~spl726_71),
% 2.48/0.72 inference(avatar_component_clause,[],[f4634])).
% 2.48/0.72 thf(f2236,plain,(
% 2.48/0.72 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ (powerset @ X0)) != $true) | (powersetE1 != $true) | ((subset @ X1 @ X0) = $true)) )),
% 2.48/0.72 inference(cnf_transformation,[],[f1157])).
% 2.48/0.72 thf(f1157,plain,(
% 2.48/0.72 (! [X0,X1] : (((in @ X1 @ (powerset @ X0)) != $true) | ((subset @ X1 @ X0) = $true)) | (powersetE1 != $true)) & ((powersetE1 = $true) | (((in @ sK104 @ (powerset @ sK103)) = $true) & ((subset @ sK104 @ sK103) != $true)))),
% 2.48/0.72 inference(skolemisation,[status(esa),new_symbols(skolem,[sK103,sK104])],[f1155,f1156])).
% 2.48/0.72 thf(f1156,plain,(
% 2.48/0.72 ? [X2,X3] : (((in @ X3 @ (powerset @ X2)) = $true) & ((subset @ X3 @ X2) != $true)) => (((in @ sK104 @ (powerset @ sK103)) = $true) & ((subset @ sK104 @ sK103) != $true))),
% 2.48/0.72 introduced(choice_axiom,[])).
% 2.48/0.72 thf(f1155,plain,(
% 2.48/0.72 (! [X0,X1] : (((in @ X1 @ (powerset @ X0)) != $true) | ((subset @ X1 @ X0) = $true)) | (powersetE1 != $true)) & ((powersetE1 = $true) | ? [X2,X3] : (((in @ X3 @ (powerset @ X2)) = $true) & ((subset @ X3 @ X2) != $true)))),
% 2.48/0.72 inference(rectify,[],[f1154])).
% 2.48/0.72 thf(f1154,plain,(
% 2.48/0.72 (! [X0,X1] : (((in @ X1 @ (powerset @ X0)) != $true) | ((subset @ X1 @ X0) = $true)) | (powersetE1 != $true)) & ((powersetE1 = $true) | ? [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) & ((subset @ X1 @ X0) != $true)))),
% 2.48/0.72 inference(nnf_transformation,[],[f867])).
% 2.48/0.72 thf(f867,plain,(
% 2.48/0.72 ! [X0,X1] : (((in @ X1 @ (powerset @ X0)) != $true) | ((subset @ X1 @ X0) = $true)) <=> (powersetE1 = $true)),
% 2.48/0.72 inference(ennf_transformation,[],[f345])).
% 2.48/0.72 thf(f345,plain,(
% 2.48/0.72 (powersetE1 = $true) <=> ! [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) => ((subset @ X1 @ X0) = $true))),
% 2.48/0.72 inference(fool_elimination,[],[f344])).
% 2.48/0.72 thf(f344,plain,(
% 2.48/0.72 (powersetE1 = ! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => (subset @ X1 @ X0)))),
% 2.48/0.72 inference(rectify,[],[f96])).
% 2.48/0.72 thf(f96,axiom,(
% 2.48/0.72 (powersetE1 = ! [X3,X4] : ((in @ X4 @ (powerset @ X3)) => (subset @ X4 @ X3)))),
% 2.48/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetE1)).
% 2.48/0.72 thf(f6941,plain,(
% 2.48/0.72 spl726_71),
% 2.48/0.72 inference(avatar_split_clause,[],[f6940,f4634])).
% 2.48/0.72 thf(f6940,plain,(
% 2.48/0.72 ((in @ sK469 @ (powerset @ sK468)) = $true)),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f6939])).
% 2.48/0.72 thf(f6939,plain,(
% 2.48/0.72 ($true != $true) | ((in @ sK469 @ (powerset @ sK468)) = $true)),
% 2.48/0.72 inference(forward_demodulation,[],[f6937,f2746])).
% 2.48/0.72 thf(f2746,plain,(
% 2.48/0.72 (powersetI = $true)),
% 2.48/0.72 inference(cnf_transformation,[],[f1723])).
% 2.48/0.72 thf(f6937,plain,(
% 2.48/0.72 (powersetI != $true) | ((in @ sK469 @ (powerset @ sK468)) = $true)),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f6936])).
% 2.48/0.72 thf(f6936,plain,(
% 2.48/0.72 ($true != $true) | (powersetI != $true) | ((in @ sK469 @ (powerset @ sK468)) = $true)),
% 2.48/0.72 inference(duplicate_literal_removal,[],[f6926])).
% 2.48/0.72 thf(f6926,plain,(
% 2.48/0.72 (powersetI != $true) | ((in @ sK469 @ (powerset @ sK468)) = $true) | ($true != $true) | ((in @ sK469 @ (powerset @ sK468)) = $true)),
% 2.48/0.72 inference(superposition,[],[f4673,f2326])).
% 2.48/0.72 thf(f2326,plain,(
% 2.48/0.72 ( ! [X0 : $i,X1 : $i] : (($true = (in @ (sK168 @ X1 @ X0) @ X1)) | ((in @ X1 @ (powerset @ X0)) = $true) | (powersetI != $true)) )),
% 2.48/0.72 inference(cnf_transformation,[],[f1255])).
% 2.48/0.72 thf(f1255,plain,(
% 2.48/0.72 (! [X0,X1] : ((($true = (in @ (sK168 @ X1 @ X0) @ X1)) & ((in @ (sK168 @ X1 @ X0) @ X0) != $true)) | ((in @ X1 @ (powerset @ X0)) = $true)) | (powersetI != $true)) & ((powersetI = $true) | (! [X5] : (($true != (in @ X5 @ sK170)) | ((in @ X5 @ sK169) = $true)) & ((in @ sK170 @ (powerset @ sK169)) != $true)))),
% 2.48/0.72 inference(skolemisation,[status(esa),new_symbols(skolem,[sK168,sK169,sK170])],[f1252,f1254,f1253])).
% 2.48/0.72 thf(f1253,plain,(
% 2.48/0.72 ! [X0,X1] : (? [X2] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0))) => (($true = (in @ (sK168 @ X1 @ X0) @ X1)) & ((in @ (sK168 @ X1 @ X0) @ X0) != $true)))),
% 2.48/0.72 introduced(choice_axiom,[])).
% 2.48/0.72 thf(f1254,plain,(
% 2.48/0.72 ? [X3,X4] : (! [X5] : (((in @ X5 @ X4) != $true) | ((in @ X5 @ X3) = $true)) & ((in @ X4 @ (powerset @ X3)) != $true)) => (! [X5] : (($true != (in @ X5 @ sK170)) | ((in @ X5 @ sK169) = $true)) & ((in @ sK170 @ (powerset @ sK169)) != $true))),
% 2.48/0.72 introduced(choice_axiom,[])).
% 2.48/0.72 thf(f1252,plain,(
% 2.48/0.72 (! [X0,X1] : (? [X2] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0))) | ((in @ X1 @ (powerset @ X0)) = $true)) | (powersetI != $true)) & ((powersetI = $true) | ? [X3,X4] : (! [X5] : (((in @ X5 @ X4) != $true) | ((in @ X5 @ X3) = $true)) & ((in @ X4 @ (powerset @ X3)) != $true)))),
% 2.48/0.72 inference(rectify,[],[f1251])).
% 2.48/0.72 thf(f1251,plain,(
% 2.48/0.72 (! [X0,X1] : (? [X2] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0))) | ((in @ X1 @ (powerset @ X0)) = $true)) | (powersetI != $true)) & ((powersetI = $true) | ? [X0,X1] : (! [X2] : (((in @ X2 @ X1) != $true) | ($true = (in @ X2 @ X0))) & ((in @ X1 @ (powerset @ X0)) != $true)))),
% 2.48/0.72 inference(nnf_transformation,[],[f806])).
% 2.48/0.72 thf(f806,plain,(
% 2.48/0.72 ! [X0,X1] : (? [X2] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0))) | ((in @ X1 @ (powerset @ X0)) = $true)) <=> (powersetI = $true)),
% 2.48/0.72 inference(ennf_transformation,[],[f355])).
% 2.48/0.72 thf(f355,plain,(
% 2.48/0.72 ! [X0,X1] : (! [X2] : (((in @ X2 @ X1) = $true) => ($true = (in @ X2 @ X0))) => ((in @ X1 @ (powerset @ X0)) = $true)) <=> (powersetI = $true)),
% 2.48/0.72 inference(fool_elimination,[],[f354])).
% 2.48/0.72 thf(f354,plain,(
% 2.48/0.72 (powersetI = ! [X0,X1] : (! [X2] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (in @ X1 @ (powerset @ X0))))),
% 2.48/0.72 inference(rectify,[],[f37])).
% 2.48/0.72 thf(f37,axiom,(
% 2.48/0.72 (powersetI = ! [X3,X4] : (! [X1] : ((in @ X1 @ X4) => (in @ X1 @ X3)) => (in @ X4 @ (powerset @ X3))))),
% 2.48/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetI)).
% 2.48/0.72 thf(f4673,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ (sK168 @ X0 @ sK468) @ sK469) != $true) | ((in @ X0 @ (powerset @ sK468)) = $true)) )),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f4672])).
% 2.48/0.72 thf(f4672,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ (sK168 @ X0 @ sK468) @ sK469) != $true) | ((in @ X0 @ (powerset @ sK468)) = $true) | ($true != $true)) )),
% 2.48/0.72 inference(duplicate_literal_removal,[],[f4661])).
% 2.48/0.72 thf(f4661,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ X0 @ (powerset @ sK468)) = $true) | ((in @ (sK168 @ X0 @ sK468) @ sK469) != $true) | ($true != $true) | ((in @ (sK168 @ X0 @ sK468) @ sK469) != $true)) )),
% 2.48/0.72 inference(superposition,[],[f3659,f3498])).
% 2.48/0.72 thf(f3498,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ X0 @ sK467) = $true) | ((in @ X0 @ sK469) != $true)) )),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f3497])).
% 2.48/0.72 thf(f3497,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (($true != $true) | ((in @ X0 @ sK467) = $true) | ((in @ X0 @ sK469) != $true)) )),
% 2.48/0.72 inference(forward_demodulation,[],[f3487,f2943])).
% 2.48/0.72 thf(f2943,plain,(
% 2.48/0.72 (powersetE = $true)),
% 2.48/0.72 inference(cnf_transformation,[],[f1723])).
% 2.48/0.72 thf(f3487,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ X0 @ sK469) != $true) | (powersetE != $true) | ((in @ X0 @ sK467) = $true)) )),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f3482])).
% 2.48/0.72 thf(f3482,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (($true != $true) | (powersetE != $true) | ((in @ X0 @ sK469) != $true) | ((in @ X0 @ sK467) = $true)) )),
% 2.48/0.72 inference(superposition,[],[f3021,f2905])).
% 2.48/0.72 thf(f2905,plain,(
% 2.48/0.72 ((in @ sK469 @ (powerset @ sK467)) = $true)),
% 2.48/0.72 inference(cnf_transformation,[],[f1723])).
% 2.48/0.72 thf(f3021,plain,(
% 2.48/0.72 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X1 @ (powerset @ X0)) != $true) | ((in @ X2 @ X1) != $true) | (powersetE != $true) | ($true = (in @ X2 @ X0))) )),
% 2.48/0.72 inference(cnf_transformation,[],[f1788])).
% 2.48/0.72 thf(f1788,plain,(
% 2.48/0.72 (! [X0,X1,X2] : (($true = (in @ X2 @ X0)) | ((in @ X1 @ (powerset @ X0)) != $true) | ((in @ X2 @ X1) != $true)) | (powersetE != $true)) & ((powersetE = $true) | (($true != (in @ sK512 @ sK510)) & ((in @ sK511 @ (powerset @ sK510)) = $true) & ((in @ sK512 @ sK511) = $true)))),
% 2.48/0.72 inference(skolemisation,[status(esa),new_symbols(skolem,[sK510,sK511,sK512])],[f1786,f1787])).
% 2.48/0.72 thf(f1787,plain,(
% 2.48/0.72 ? [X3,X4,X5] : (((in @ X5 @ X3) != $true) & ((in @ X4 @ (powerset @ X3)) = $true) & ((in @ X5 @ X4) = $true)) => (($true != (in @ sK512 @ sK510)) & ((in @ sK511 @ (powerset @ sK510)) = $true) & ((in @ sK512 @ sK511) = $true))),
% 2.48/0.72 introduced(choice_axiom,[])).
% 2.48/0.72 thf(f1786,plain,(
% 2.48/0.72 (! [X0,X1,X2] : (($true = (in @ X2 @ X0)) | ((in @ X1 @ (powerset @ X0)) != $true) | ((in @ X2 @ X1) != $true)) | (powersetE != $true)) & ((powersetE = $true) | ? [X3,X4,X5] : (((in @ X5 @ X3) != $true) & ((in @ X4 @ (powerset @ X3)) = $true) & ((in @ X5 @ X4) = $true)))),
% 2.48/0.72 inference(rectify,[],[f1785])).
% 2.48/0.72 thf(f1785,plain,(
% 2.48/0.72 (! [X0,X1,X2] : (($true = (in @ X2 @ X0)) | ((in @ X1 @ (powerset @ X0)) != $true) | ((in @ X2 @ X1) != $true)) | (powersetE != $true)) & ((powersetE = $true) | ? [X0,X1,X2] : (($true != (in @ X2 @ X0)) & ((in @ X1 @ (powerset @ X0)) = $true) & ((in @ X2 @ X1) = $true)))),
% 2.48/0.72 inference(nnf_transformation,[],[f755])).
% 2.48/0.72 thf(f755,plain,(
% 2.48/0.72 ! [X0,X1,X2] : (($true = (in @ X2 @ X0)) | ((in @ X1 @ (powerset @ X0)) != $true) | ((in @ X2 @ X1) != $true)) <=> (powersetE = $true)),
% 2.48/0.72 inference(flattening,[],[f754])).
% 2.48/0.72 thf(f754,plain,(
% 2.48/0.72 (powersetE = $true) <=> ! [X0,X1,X2] : ((($true = (in @ X2 @ X0)) | ((in @ X2 @ X1) != $true)) | ((in @ X1 @ (powerset @ X0)) != $true))),
% 2.48/0.72 inference(ennf_transformation,[],[f427])).
% 2.48/0.72 thf(f427,plain,(
% 2.48/0.72 (powersetE = $true) <=> ! [X0,X1,X2] : (((in @ X1 @ (powerset @ X0)) = $true) => (((in @ X2 @ X1) = $true) => ($true = (in @ X2 @ X0))))),
% 2.48/0.72 inference(fool_elimination,[],[f426])).
% 2.48/0.72 thf(f426,plain,(
% 2.48/0.72 (powersetE = ! [X0,X1,X2] : ((in @ X1 @ (powerset @ X0)) => ((in @ X2 @ X1) => (in @ X2 @ X0))))),
% 2.48/0.72 inference(rectify,[],[f40])).
% 2.48/0.72 thf(f40,axiom,(
% 2.48/0.72 (powersetE = ! [X3,X4,X1] : ((in @ X4 @ (powerset @ X3)) => ((in @ X1 @ X4) => (in @ X1 @ X3))))),
% 2.48/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetE)).
% 2.48/0.72 thf(f3659,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (($true != (in @ (sK168 @ X0 @ sK468) @ sK467)) | ((in @ X0 @ (powerset @ sK468)) = $true) | ((in @ (sK168 @ X0 @ sK468) @ sK469) != $true)) )),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f3658])).
% 2.48/0.72 thf(f3658,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (($true != (in @ (sK168 @ X0 @ sK468) @ sK467)) | ((in @ X0 @ (powerset @ sK468)) = $true) | ($true != $true) | ((in @ (sK168 @ X0 @ sK468) @ sK469) != $true)) )),
% 2.48/0.72 inference(forward_demodulation,[],[f3632,f2746])).
% 2.48/0.72 thf(f3632,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (($true != (in @ (sK168 @ X0 @ sK468) @ sK467)) | (powersetI != $true) | ((in @ X0 @ (powerset @ sK468)) = $true) | ((in @ (sK168 @ X0 @ sK468) @ sK469) != $true)) )),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f3613])).
% 2.48/0.72 thf(f3613,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ (sK168 @ X0 @ sK468) @ sK469) != $true) | (powersetI != $true) | ($true != $true) | ($true != (in @ (sK168 @ X0 @ sK468) @ sK467)) | ((in @ X0 @ (powerset @ sK468)) = $true)) )),
% 2.48/0.72 inference(superposition,[],[f2325,f2906])).
% 2.48/0.72 thf(f2906,plain,(
% 2.48/0.72 ( ! [X3 : $i] : (((in @ X3 @ sK468) = $true) | ((in @ X3 @ sK469) != $true) | ((in @ X3 @ sK467) != $true)) )),
% 2.48/0.72 inference(cnf_transformation,[],[f1723])).
% 2.48/0.72 thf(f2325,plain,(
% 2.48/0.72 ( ! [X0 : $i,X1 : $i] : (((in @ (sK168 @ X1 @ X0) @ X0) != $true) | (powersetI != $true) | ((in @ X1 @ (powerset @ X0)) = $true)) )),
% 2.48/0.72 inference(cnf_transformation,[],[f1255])).
% 2.48/0.72 thf(f6921,plain,(
% 2.48/0.72 spl726_68),
% 2.48/0.72 inference(avatar_split_clause,[],[f6920,f4571])).
% 2.48/0.72 thf(f4571,plain,(
% 2.48/0.72 spl726_68 <=> ((in @ sK468 @ (powerset @ sK469)) = $true)),
% 2.48/0.72 introduced(avatar_definition,[new_symbols(naming,[spl726_68])])).
% 2.48/0.72 thf(f6920,plain,(
% 2.48/0.72 ((in @ sK468 @ (powerset @ sK469)) = $true)),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f6919])).
% 2.48/0.72 thf(f6919,plain,(
% 2.48/0.72 ((in @ sK468 @ (powerset @ sK469)) = $true) | ($true != $true)),
% 2.48/0.72 inference(forward_demodulation,[],[f6915,f2746])).
% 2.48/0.72 thf(f6915,plain,(
% 2.48/0.72 ((in @ sK468 @ (powerset @ sK469)) = $true) | (powersetI != $true)),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f6914])).
% 2.48/0.72 thf(f6914,plain,(
% 2.48/0.72 ((in @ sK468 @ (powerset @ sK469)) = $true) | ($true != $true) | (powersetI != $true)),
% 2.48/0.72 inference(duplicate_literal_removal,[],[f6904])).
% 2.48/0.72 thf(f6904,plain,(
% 2.48/0.72 ((in @ sK468 @ (powerset @ sK469)) = $true) | (powersetI != $true) | ($true != $true) | ((in @ sK468 @ (powerset @ sK469)) = $true)),
% 2.48/0.72 inference(superposition,[],[f4595,f2326])).
% 2.48/0.72 thf(f4595,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ (sK168 @ X0 @ sK469) @ sK468) != $true) | ((in @ X0 @ (powerset @ sK469)) = $true)) )),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f4594])).
% 2.48/0.72 thf(f4594,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ (sK168 @ X0 @ sK469) @ sK468) != $true) | ($true != $true) | ((in @ X0 @ (powerset @ sK469)) = $true)) )),
% 2.48/0.72 inference(duplicate_literal_removal,[],[f4578])).
% 2.48/0.72 thf(f4578,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ (sK168 @ X0 @ sK469) @ sK468) != $true) | ($true != $true) | ((in @ X0 @ (powerset @ sK469)) = $true) | ((in @ (sK168 @ X0 @ sK469) @ sK468) != $true)) )),
% 2.48/0.72 inference(superposition,[],[f3599,f3480])).
% 2.48/0.72 thf(f3480,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ X0 @ sK467) = $true) | ((in @ X0 @ sK468) != $true)) )),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f3479])).
% 2.48/0.72 thf(f3479,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ X0 @ sK467) = $true) | ($true != $true) | ((in @ X0 @ sK468) != $true)) )),
% 2.48/0.72 inference(forward_demodulation,[],[f3457,f2805])).
% 2.48/0.72 thf(f2805,plain,(
% 2.48/0.72 (powersetAx = $true)),
% 2.48/0.72 inference(cnf_transformation,[],[f1723])).
% 2.48/0.72 thf(f3457,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ X0 @ sK467) = $true) | (powersetAx != $true) | ((in @ X0 @ sK468) != $true)) )),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f3454])).
% 2.48/0.72 thf(f3454,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (((in @ X0 @ sK467) = $true) | ((in @ X0 @ sK468) != $true) | ($true != $true) | (powersetAx != $true)) )),
% 2.48/0.72 inference(superposition,[],[f2582,f2902])).
% 2.48/0.72 thf(f2902,plain,(
% 2.48/0.72 ((in @ sK468 @ (powerset @ sK467)) = $true)),
% 2.48/0.72 inference(cnf_transformation,[],[f1723])).
% 2.48/0.72 thf(f2582,plain,(
% 2.48/0.72 ( ! [X3 : $i,X0 : $i,X1 : $i] : (((in @ X1 @ (powerset @ X0)) != $true) | (powersetAx != $true) | ($true = (in @ X3 @ X0)) | ((in @ X3 @ X1) != $true)) )),
% 2.48/0.72 inference(cnf_transformation,[],[f1552])).
% 2.48/0.72 thf(f1552,plain,(
% 2.48/0.72 (! [X0,X1] : ((((in @ X1 @ (powerset @ X0)) = $true) | (($true = (in @ (sK355 @ X1 @ X0) @ X1)) & ((in @ (sK355 @ X1 @ X0) @ X0) != $true))) & (! [X3] : (((in @ X3 @ X1) != $true) | ($true = (in @ X3 @ X0))) | ((in @ X1 @ (powerset @ X0)) != $true))) | (powersetAx != $true)) & ((powersetAx = $true) | (((((in @ sK358 @ sK357) = $true) & ((in @ sK358 @ sK356) != $true)) | ($true != (in @ sK357 @ (powerset @ sK356)))) & (! [X7] : (((in @ X7 @ sK357) != $true) | ($true = (in @ X7 @ sK356))) | ($true = (in @ sK357 @ (powerset @ sK356))))))),
% 2.48/0.72 inference(skolemisation,[status(esa),new_symbols(skolem,[sK355,sK356,sK357,sK358])],[f1548,f1551,f1550,f1549])).
% 2.48/0.72 thf(f1549,plain,(
% 2.48/0.72 ! [X0,X1] : (? [X2] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0))) => (($true = (in @ (sK355 @ X1 @ X0) @ X1)) & ((in @ (sK355 @ X1 @ X0) @ X0) != $true)))),
% 2.48/0.72 introduced(choice_axiom,[])).
% 2.48/0.72 thf(f1550,plain,(
% 2.48/0.72 ? [X4,X5] : ((? [X6] : (((in @ X6 @ X5) = $true) & ((in @ X6 @ X4) != $true)) | ((in @ X5 @ (powerset @ X4)) != $true)) & (! [X7] : (($true != (in @ X7 @ X5)) | ((in @ X7 @ X4) = $true)) | ((in @ X5 @ (powerset @ X4)) = $true))) => ((? [X6] : (((in @ X6 @ sK357) = $true) & ((in @ X6 @ sK356) != $true)) | ($true != (in @ sK357 @ (powerset @ sK356)))) & (! [X7] : (((in @ X7 @ sK357) != $true) | ($true = (in @ X7 @ sK356))) | ($true = (in @ sK357 @ (powerset @ sK356)))))),
% 2.48/0.72 introduced(choice_axiom,[])).
% 2.48/0.72 thf(f1551,plain,(
% 2.48/0.72 ? [X6] : (((in @ X6 @ sK357) = $true) & ((in @ X6 @ sK356) != $true)) => (((in @ sK358 @ sK357) = $true) & ((in @ sK358 @ sK356) != $true))),
% 2.48/0.72 introduced(choice_axiom,[])).
% 2.48/0.72 thf(f1548,plain,(
% 2.48/0.72 (! [X0,X1] : ((((in @ X1 @ (powerset @ X0)) = $true) | ? [X2] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0)))) & (! [X3] : (((in @ X3 @ X1) != $true) | ($true = (in @ X3 @ X0))) | ((in @ X1 @ (powerset @ X0)) != $true))) | (powersetAx != $true)) & ((powersetAx = $true) | ? [X4,X5] : ((? [X6] : (((in @ X6 @ X5) = $true) & ((in @ X6 @ X4) != $true)) | ((in @ X5 @ (powerset @ X4)) != $true)) & (! [X7] : (($true != (in @ X7 @ X5)) | ((in @ X7 @ X4) = $true)) | ((in @ X5 @ (powerset @ X4)) = $true))))),
% 2.48/0.72 inference(rectify,[],[f1547])).
% 2.48/0.72 thf(f1547,plain,(
% 2.48/0.72 (! [X0,X1] : ((((in @ X1 @ (powerset @ X0)) = $true) | ? [X2] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0)))) & (! [X2] : (((in @ X2 @ X1) != $true) | ($true = (in @ X2 @ X0))) | ((in @ X1 @ (powerset @ X0)) != $true))) | (powersetAx != $true)) & ((powersetAx = $true) | ? [X0,X1] : ((? [X2] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0))) | ((in @ X1 @ (powerset @ X0)) != $true)) & (! [X2] : (((in @ X2 @ X1) != $true) | ($true = (in @ X2 @ X0))) | ((in @ X1 @ (powerset @ X0)) = $true))))),
% 2.48/0.72 inference(nnf_transformation,[],[f938])).
% 2.48/0.72 thf(f938,plain,(
% 2.48/0.72 ! [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) <=> ! [X2] : (((in @ X2 @ X1) != $true) | ($true = (in @ X2 @ X0)))) <=> (powersetAx = $true)),
% 2.48/0.72 inference(ennf_transformation,[],[f684])).
% 2.48/0.72 thf(f684,plain,(
% 2.48/0.72 ! [X0,X1] : (! [X2] : (((in @ X2 @ X1) = $true) => ($true = (in @ X2 @ X0))) <=> ((in @ X1 @ (powerset @ X0)) = $true)) <=> (powersetAx = $true)),
% 2.48/0.72 inference(fool_elimination,[],[f683])).
% 2.48/0.72 thf(f683,plain,(
% 2.48/0.72 (! [X0,X1] : (! [X2] : ((in @ X2 @ X1) => (in @ X2 @ X0)) <=> (in @ X1 @ (powerset @ X0))) = powersetAx)),
% 2.48/0.72 inference(rectify,[],[f5])).
% 2.48/0.72 thf(f5,axiom,(
% 2.48/0.72 (! [X3,X4] : (! [X1] : ((in @ X1 @ X4) => (in @ X1 @ X3)) <=> (in @ X4 @ (powerset @ X3))) = powersetAx)),
% 2.48/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetAx)).
% 2.48/0.72 thf(f3599,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (($true != (in @ (sK168 @ X0 @ sK469) @ sK467)) | ((in @ (sK168 @ X0 @ sK469) @ sK468) != $true) | ((in @ X0 @ (powerset @ sK469)) = $true)) )),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f3598])).
% 2.48/0.72 thf(f3598,plain,(
% 2.48/0.72 ( ! [X0 : $i] : (($true != (in @ (sK168 @ X0 @ sK469) @ sK467)) | ((in @ (sK168 @ X0 @ sK469) @ sK468) != $true) | ($true != $true) | ((in @ X0 @ (powerset @ sK469)) = $true)) )),
% 2.48/0.72 inference(forward_demodulation,[],[f3527,f2746])).
% 2.48/0.72 thf(f3527,plain,(
% 2.48/0.72 ( ! [X0 : $i] : ((powersetI != $true) | ((in @ (sK168 @ X0 @ sK469) @ sK468) != $true) | ((in @ X0 @ (powerset @ sK469)) = $true) | ($true != (in @ (sK168 @ X0 @ sK469) @ sK467))) )),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f3513])).
% 2.48/0.72 thf(f3513,plain,(
% 2.48/0.72 ( ! [X0 : $i] : ((powersetI != $true) | ((in @ (sK168 @ X0 @ sK469) @ sK468) != $true) | ((in @ X0 @ (powerset @ sK469)) = $true) | ($true != $true) | ($true != (in @ (sK168 @ X0 @ sK469) @ sK467))) )),
% 2.48/0.72 inference(superposition,[],[f2325,f2904])).
% 2.48/0.72 thf(f2904,plain,(
% 2.48/0.72 ( ! [X4 : $i] : (($true = (in @ X4 @ sK469)) | ((in @ X4 @ sK468) != $true) | ((in @ X4 @ sK467) != $true)) )),
% 2.48/0.72 inference(cnf_transformation,[],[f1723])).
% 2.48/0.72 thf(f6890,plain,(
% 2.48/0.72 spl726_63 | ~spl726_68),
% 2.48/0.72 inference(avatar_split_clause,[],[f6889,f4571,f4478])).
% 2.48/0.72 thf(f4478,plain,(
% 2.48/0.72 spl726_63 <=> ((subset @ sK468 @ sK469) = $true)),
% 2.48/0.72 introduced(avatar_definition,[new_symbols(naming,[spl726_63])])).
% 2.48/0.72 thf(f6889,plain,(
% 2.48/0.72 ((subset @ sK468 @ sK469) = $true) | ~spl726_68),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f6888])).
% 2.48/0.72 thf(f6888,plain,(
% 2.48/0.72 ($true != $true) | ((subset @ sK468 @ sK469) = $true) | ~spl726_68),
% 2.48/0.72 inference(forward_demodulation,[],[f6881,f2791])).
% 2.48/0.72 thf(f6881,plain,(
% 2.48/0.72 ((subset @ sK468 @ sK469) = $true) | (powersetE1 != $true) | ~spl726_68),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f6874])).
% 2.48/0.72 thf(f6874,plain,(
% 2.48/0.72 (powersetE1 != $true) | ($true != $true) | ((subset @ sK468 @ sK469) = $true) | ~spl726_68),
% 2.48/0.72 inference(superposition,[],[f2236,f4573])).
% 2.48/0.72 thf(f4573,plain,(
% 2.48/0.72 ((in @ sK468 @ (powerset @ sK469)) = $true) | ~spl726_68),
% 2.48/0.72 inference(avatar_component_clause,[],[f4571])).
% 2.48/0.72 thf(f6617,plain,(
% 2.48/0.72 ~spl726_65 | spl726_77 | ~spl726_63),
% 2.48/0.72 inference(avatar_split_clause,[],[f6616,f4478,f4762,f4507])).
% 2.48/0.72 thf(f6616,plain,(
% 2.48/0.72 (sK468 = sK469) | ((subset @ sK469 @ sK468) != $true) | ~spl726_63),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f6615])).
% 2.48/0.72 thf(f6615,plain,(
% 2.48/0.72 (sK468 = sK469) | ($true != $true) | ((subset @ sK469 @ sK468) != $true) | ~spl726_63),
% 2.48/0.72 inference(forward_demodulation,[],[f6608,f2914])).
% 2.48/0.72 thf(f2914,plain,(
% 2.48/0.72 (setextsub = $true)),
% 2.48/0.72 inference(cnf_transformation,[],[f1723])).
% 2.48/0.72 thf(f6608,plain,(
% 2.48/0.72 ((subset @ sK469 @ sK468) != $true) | (sK468 = sK469) | (setextsub != $true) | ~spl726_63),
% 2.48/0.72 inference(trivial_inequality_removal,[],[f6607])).
% 2.48/0.72 thf(f6607,plain,(
% 2.48/0.72 (sK468 = sK469) | ((subset @ sK469 @ sK468) != $true) | (setextsub != $true) | ($true != $true) | ~spl726_63),
% 2.48/0.72 inference(superposition,[],[f2388,f4480])).
% 2.48/0.72 thf(f4480,plain,(
% 2.48/0.72 ((subset @ sK468 @ sK469) = $true) | ~spl726_63),
% 2.48/0.72 inference(avatar_component_clause,[],[f4478])).
% 2.48/0.72 thf(f2388,plain,(
% 2.48/0.72 ( ! [X0 : $i,X1 : $i] : (((subset @ X1 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | (setextsub != $true) | (X0 = X1)) )),
% 2.48/0.72 inference(cnf_transformation,[],[f1324])).
% 2.48/0.72 thf(f1324,plain,(
% 2.48/0.72 (! [X0,X1] : (((subset @ X0 @ X1) != $true) | ((subset @ X1 @ X0) != $true) | (X0 = X1)) | (setextsub != $true)) & ((setextsub = $true) | (($true = (subset @ sK211 @ sK212)) & ((subset @ sK212 @ sK211) = $true) & (sK211 != sK212)))),
% 2.48/0.72 inference(skolemisation,[status(esa),new_symbols(skolem,[sK211,sK212])],[f1322,f1323])).
% 2.48/0.72 thf(f1323,plain,(
% 2.48/0.72 ? [X2,X3] : (((subset @ X2 @ X3) = $true) & ((subset @ X3 @ X2) = $true) & (X2 != X3)) => (($true = (subset @ sK211 @ sK212)) & ((subset @ sK212 @ sK211) = $true) & (sK211 != sK212))),
% 2.48/0.72 introduced(choice_axiom,[])).
% 2.48/0.72 thf(f1322,plain,(
% 2.48/0.72 (! [X0,X1] : (((subset @ X0 @ X1) != $true) | ((subset @ X1 @ X0) != $true) | (X0 = X1)) | (setextsub != $true)) & ((setextsub = $true) | ? [X2,X3] : (((subset @ X2 @ X3) = $true) & ((subset @ X3 @ X2) = $true) & (X2 != X3)))),
% 2.48/0.72 inference(rectify,[],[f1321])).
% 2.48/0.72 thf(f1321,plain,(
% 2.48/0.72 (! [X0,X1] : (((subset @ X0 @ X1) != $true) | ((subset @ X1 @ X0) != $true) | (X0 = X1)) | (setextsub != $true)) & ((setextsub = $true) | ? [X0,X1] : (((subset @ X0 @ X1) = $true) & ((subset @ X1 @ X0) = $true) & (X0 != X1)))),
% 2.48/0.72 inference(nnf_transformation,[],[f940])).
% 2.48/0.72 thf(f940,plain,(
% 2.48/0.72 ! [X0,X1] : (((subset @ X0 @ X1) != $true) | ((subset @ X1 @ X0) != $true) | (X0 = X1)) <=> (setextsub = $true)),
% 2.48/0.72 inference(flattening,[],[f939])).
% 2.48/0.72 thf(f939,plain,(
% 2.48/0.72 (setextsub = $true) <=> ! [X0,X1] : (((X0 = X1) | ((subset @ X1 @ X0) != $true)) | ((subset @ X0 @ X1) != $true))),
% 2.48/0.72 inference(ennf_transformation,[],[f347])).
% 2.48/0.72 thf(f347,plain,(
% 2.48/0.72 (setextsub = $true) <=> ! [X0,X1] : (((subset @ X0 @ X1) = $true) => (((subset @ X1 @ X0) = $true) => (X0 = X1)))),
% 2.48/0.72 inference(fool_elimination,[],[f346])).
% 2.48/0.72 thf(f346,plain,(
% 2.48/0.72 (setextsub = ! [X0,X1] : ((subset @ X0 @ X1) => ((subset @ X1 @ X0) => (X0 = X1))))),
% 2.48/0.72 inference(rectify,[],[f93])).
% 2.48/0.72 thf(f93,axiom,(
% 2.48/0.72 (setextsub = ! [X3,X4] : ((subset @ X3 @ X4) => ((subset @ X4 @ X3) => (X3 = X4))))),
% 2.48/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setextsub)).
% 2.48/0.72 % SZS output end Proof for theBenchmark
% 2.48/0.72 % (3319)------------------------------
% 2.48/0.72 % (3319)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.48/0.72 % (3319)Termination reason: Refutation
% 2.48/0.72
% 2.48/0.72 % (3319)Memory used [KB]: 11001
% 2.48/0.72 % (3319)Time elapsed: 0.251 s
% 2.48/0.72 % (3319)Instructions burned: 608 (million)
% 2.48/0.72 % (3319)------------------------------
% 2.48/0.72 % (3319)------------------------------
% 2.48/0.72 % (3237)Success in time 0.361 s
%------------------------------------------------------------------------------