TSTP Solution File: SEU766^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU766^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:51:21 EDT 2024
% Result : Theorem 0.15s 0.59s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU766^1 : TPTP v8.2.0. Released v3.7.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31 % Computer : n021.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sun May 19 16:39:37 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a TH0_THM_EQU_NAR problem
% 0.15/0.31 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % (14944)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)
% 0.15/0.35 % (14947)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)
% 0.15/0.35 % (14945)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)
% 0.15/0.35 % (14949)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.35 % (14943)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.35 % (14950)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)
% 0.15/0.35 % (14948)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)
% 0.15/0.35 % (14946)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.35 % (14946)Instruction limit reached!
% 0.15/0.35 % (14946)------------------------------
% 0.15/0.35 % (14946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (14946)Termination reason: Unknown
% 0.15/0.35 % (14946)Termination phase: shuffling
% 0.15/0.35
% 0.15/0.35 % (14947)Instruction limit reached!
% 0.15/0.35 % (14947)------------------------------
% 0.15/0.35 % (14947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (14947)Termination reason: Unknown
% 0.15/0.35 % (14947)Termination phase: shuffling
% 0.15/0.35
% 0.15/0.35 % (14947)Memory used [KB]: 1535
% 0.15/0.35 % (14947)Time elapsed: 0.003 s
% 0.15/0.35 % (14947)Instructions burned: 3 (million)
% 0.15/0.35 % (14947)------------------------------
% 0.15/0.35 % (14947)------------------------------
% 0.15/0.35 % (14946)Memory used [KB]: 1535
% 0.15/0.35 % (14946)Time elapsed: 0.003 s
% 0.15/0.35 % (14946)Instructions burned: 2 (million)
% 0.15/0.35 % (14946)------------------------------
% 0.15/0.35 % (14946)------------------------------
% 0.15/0.35 % (14950)Instruction limit reached!
% 0.15/0.35 % (14950)------------------------------
% 0.15/0.35 % (14950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (14950)Termination reason: Unknown
% 0.15/0.35 % (14950)Termination phase: shuffling
% 0.15/0.35
% 0.15/0.35 % (14950)Memory used [KB]: 1535
% 0.15/0.35 % (14950)Time elapsed: 0.003 s
% 0.15/0.35 % (14950)Instructions burned: 3 (million)
% 0.15/0.35 % (14950)------------------------------
% 0.15/0.35 % (14950)------------------------------
% 0.15/0.35 % (14944)Instruction limit reached!
% 0.15/0.35 % (14944)------------------------------
% 0.15/0.35 % (14944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (14944)Termination reason: Unknown
% 0.15/0.35 % (14944)Termination phase: shuffling
% 0.15/0.35
% 0.15/0.35 % (14944)Memory used [KB]: 1535
% 0.15/0.35 % (14944)Time elapsed: 0.004 s
% 0.15/0.35 % (14944)Instructions burned: 5 (million)
% 0.15/0.35 % (14944)------------------------------
% 0.15/0.35 % (14944)------------------------------
% 0.15/0.36 % (14949)Instruction limit reached!
% 0.15/0.36 % (14949)------------------------------
% 0.15/0.36 % (14949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (14949)Termination reason: Unknown
% 0.15/0.36 % (14949)Termination phase: shuffling
% 0.15/0.36
% 0.15/0.36 % (14949)Memory used [KB]: 1918
% 0.15/0.36 % (14949)Time elapsed: 0.011 s
% 0.15/0.36 % (14949)Instructions burned: 19 (million)
% 0.15/0.36 % (14949)------------------------------
% 0.15/0.36 % (14949)------------------------------
% 0.15/0.36 % (14945)Instruction limit reached!
% 0.15/0.36 % (14945)------------------------------
% 0.15/0.36 % (14945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (14945)Termination reason: Unknown
% 0.15/0.36 % (14945)Termination phase: shuffling
% 0.15/0.36
% 0.15/0.36 % (14945)Memory used [KB]: 1918
% 0.15/0.36 % (14945)Time elapsed: 0.014 s
% 0.15/0.36 % (14945)Instructions burned: 28 (million)
% 0.15/0.36 % (14945)------------------------------
% 0.15/0.36 % (14945)------------------------------
% 0.15/0.36 % (14953)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)
% 0.15/0.36 % (14952)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)
% 0.15/0.36 % (14951)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)
% 0.15/0.36 % (14954)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)
% 0.15/0.36 % (14953)Instruction limit reached!
% 0.15/0.36 % (14953)------------------------------
% 0.15/0.36 % (14953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (14953)Termination reason: Unknown
% 0.15/0.36 % (14953)Termination phase: shuffling
% 0.15/0.36
% 0.15/0.37 % (14953)Memory used [KB]: 1535
% 0.15/0.37 % (14953)Time elapsed: 0.004 s
% 0.15/0.37 % (14953)Instructions burned: 4 (million)
% 0.15/0.37 % (14953)------------------------------
% 0.15/0.37 % (14953)------------------------------
% 0.15/0.37 % (14952)Instruction limit reached!
% 0.15/0.37 % (14952)------------------------------
% 0.15/0.37 % (14952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (14952)Termination reason: Unknown
% 0.15/0.37 % (14952)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (14952)Memory used [KB]: 1791
% 0.15/0.37 % (14952)Time elapsed: 0.009 s
% 0.15/0.37 % (14952)Instructions burned: 15 (million)
% 0.15/0.37 % (14952)------------------------------
% 0.15/0.37 % (14952)------------------------------
% 0.15/0.37 % (14955)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.37 % (14956)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.38 % (14955)Instruction limit reached!
% 0.15/0.38 % (14955)------------------------------
% 0.15/0.38 % (14955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (14955)Termination reason: Unknown
% 0.15/0.38 % (14955)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (14955)Memory used [KB]: 1663
% 0.15/0.38 % (14955)Time elapsed: 0.005 s
% 0.15/0.38 % (14955)Instructions burned: 8 (million)
% 0.15/0.38 % (14955)------------------------------
% 0.15/0.38 % (14955)------------------------------
% 0.15/0.38 % (14957)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)
% 0.15/0.38 % (14957)Instruction limit reached!
% 0.15/0.38 % (14957)------------------------------
% 0.15/0.38 % (14957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (14957)Termination reason: Unknown
% 0.15/0.38 % (14957)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (14957)Memory used [KB]: 1535
% 0.15/0.38 % (14957)Time elapsed: 0.003 s
% 0.15/0.38 % (14957)Instructions burned: 3 (million)
% 0.15/0.38 % (14957)------------------------------
% 0.15/0.38 % (14957)------------------------------
% 0.15/0.38 % (14951)Instruction limit reached!
% 0.15/0.38 % (14951)------------------------------
% 0.15/0.38 % (14951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (14951)Termination reason: Unknown
% 0.15/0.38 % (14951)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (14951)Memory used [KB]: 2302
% 0.15/0.38 % (14951)Time elapsed: 0.018 s
% 0.15/0.38 % (14951)Instructions burned: 38 (million)
% 0.15/0.38 % (14951)------------------------------
% 0.15/0.38 % (14951)------------------------------
% 0.15/0.38 % (14956)Instruction limit reached!
% 0.15/0.38 % (14956)------------------------------
% 0.15/0.38 % (14956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (14956)Termination reason: Unknown
% 0.15/0.38 % (14956)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (14956)Memory used [KB]: 1791
% 0.15/0.38 % (14956)Time elapsed: 0.009 s
% 0.15/0.38 % (14956)Instructions burned: 16 (million)
% 0.15/0.38 % (14956)------------------------------
% 0.15/0.38 % (14956)------------------------------
% 0.15/0.38 % (14958)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)
% 0.15/0.39 % (14958)Instruction limit reached!
% 0.15/0.39 % (14958)------------------------------
% 0.15/0.39 % (14958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (14958)Termination reason: Unknown
% 0.15/0.39 % (14958)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (14958)Memory used [KB]: 1535
% 0.15/0.39 % (14958)Time elapsed: 0.003 s
% 0.15/0.39 % (14958)Instructions burned: 3 (million)
% 0.15/0.39 % (14958)------------------------------
% 0.15/0.39 % (14958)------------------------------
% 0.15/0.39 % (14959)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)
% 0.15/0.39 % (14959)Instruction limit reached!
% 0.15/0.39 % (14959)------------------------------
% 0.15/0.39 % (14959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (14959)Termination reason: Unknown
% 0.15/0.39 % (14959)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (14959)Memory used [KB]: 1663
% 0.15/0.39 % (14959)Time elapsed: 0.005 s
% 0.15/0.39 % (14959)Instructions burned: 8 (million)
% 0.15/0.39 % (14959)------------------------------
% 0.15/0.39 % (14959)------------------------------
% 0.15/0.39 % (14960)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)
% 0.15/0.39 % (14961)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.39 % (14960)Instruction limit reached!
% 0.15/0.39 % (14960)------------------------------
% 0.15/0.39 % (14960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (14960)Termination reason: Unknown
% 0.15/0.39 % (14960)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (14960)Memory used [KB]: 1535
% 0.15/0.39 % (14960)Time elapsed: 0.003 s
% 0.15/0.39 % (14960)Instructions burned: 4 (million)
% 0.15/0.39 % (14960)------------------------------
% 0.15/0.39 % (14960)------------------------------
% 0.15/0.39 % (14961)Instruction limit reached!
% 0.15/0.39 % (14961)------------------------------
% 0.15/0.39 % (14961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (14961)Termination reason: Unknown
% 0.15/0.39 % (14961)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (14961)Memory used [KB]: 1535
% 0.15/0.39 % (14961)Time elapsed: 0.003 s
% 0.15/0.39 % (14961)Instructions burned: 4 (million)
% 0.15/0.39 % (14961)------------------------------
% 0.15/0.39 % (14961)------------------------------
% 0.15/0.39 % (14962)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)
% 0.15/0.40 % (14963)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.15/0.40 % (14962)Instruction limit reached!
% 0.15/0.40 % (14962)------------------------------
% 0.15/0.40 % (14962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (14962)Termination reason: Unknown
% 0.15/0.40 % (14962)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (14962)Memory used [KB]: 1791
% 0.15/0.40 % (14962)Time elapsed: 0.010 s
% 0.15/0.40 % (14962)Instructions burned: 19 (million)
% 0.15/0.40 % (14962)------------------------------
% 0.15/0.40 % (14962)------------------------------
% 0.15/0.41 % (14964)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.41 % (14965)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)
% 0.15/0.41 % (14966)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.41 % (14964)Instruction limit reached!
% 0.15/0.41 % (14964)------------------------------
% 0.15/0.41 % (14964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (14964)Termination reason: Unknown
% 0.15/0.41 % (14964)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (14964)Memory used [KB]: 1535
% 0.15/0.41 % (14964)Time elapsed: 0.005 s
% 0.15/0.41 % (14964)Instructions burned: 7 (million)
% 0.15/0.41 % (14964)------------------------------
% 0.15/0.41 % (14964)------------------------------
% 0.15/0.42 % (14966)Instruction limit reached!
% 0.15/0.42 % (14966)------------------------------
% 0.15/0.42 % (14966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (14966)Termination reason: Unknown
% 0.15/0.42 % (14966)Termination phase: shuffling
% 0.15/0.42
% 0.15/0.42 % (14966)Memory used [KB]: 1918
% 0.15/0.42 % (14966)Time elapsed: 0.010 s
% 0.15/0.42 % (14966)Instructions burned: 21 (million)
% 0.15/0.42 % (14966)------------------------------
% 0.15/0.42 % (14966)------------------------------
% 0.15/0.42 % (14967)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.15/0.42 % (14967)Instruction limit reached!
% 0.15/0.42 % (14967)------------------------------
% 0.15/0.42 % (14967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (14967)Termination reason: Unknown
% 0.15/0.42 % (14967)Termination phase: shuffling
% 0.15/0.42
% 0.15/0.42 % (14967)Memory used [KB]: 1535
% 0.15/0.42 % (14967)Time elapsed: 0.004 s
% 0.15/0.42 % (14967)Instructions burned: 5 (million)
% 0.15/0.42 % (14967)------------------------------
% 0.15/0.42 % (14967)------------------------------
% 0.15/0.42 % (14968)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.42 % (14968)Instruction limit reached!
% 0.15/0.42 % (14968)------------------------------
% 0.15/0.42 % (14968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (14968)Termination reason: Unknown
% 0.15/0.42 % (14968)Termination phase: shuffling
% 0.15/0.42
% 0.15/0.42 % (14968)Memory used [KB]: 1663
% 0.15/0.42 % (14968)Time elapsed: 0.005 s
% 0.15/0.42 % (14968)Instructions burned: 7 (million)
% 0.15/0.42 % (14968)------------------------------
% 0.15/0.42 % (14968)------------------------------
% 0.15/0.43 % (14943)Instruction limit reached!
% 0.15/0.43 % (14943)------------------------------
% 0.15/0.43 % (14943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (14943)Termination reason: Unknown
% 0.15/0.43 % (14943)Termination phase: Saturation
% 0.15/0.43
% 0.15/0.43 % (14943)Memory used [KB]: 7547
% 0.15/0.43 % (14943)Time elapsed: 0.080 s
% 0.15/0.43 % (14943)Instructions burned: 184 (million)
% 0.15/0.43 % (14943)------------------------------
% 0.15/0.43 % (14943)------------------------------
% 0.15/0.43 % (14969)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.15/0.43 % (14970)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.15/0.44 % (14971)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.15/0.44 % (14972)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)
% 0.15/0.45 % (14971)Instruction limit reached!
% 0.15/0.45 % (14971)------------------------------
% 0.15/0.45 % (14971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.45 % (14971)Termination reason: Unknown
% 0.15/0.45 % (14971)Termination phase: shuffling
% 0.15/0.45
% 0.15/0.45 % (14971)Memory used [KB]: 1791
% 0.15/0.45 % (14971)Time elapsed: 0.010 s
% 0.15/0.45 % (14971)Instructions burned: 20 (million)
% 0.15/0.45 % (14971)------------------------------
% 0.15/0.45 % (14971)------------------------------
% 0.15/0.46 % (14973)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.15/0.47 % (14973)Instruction limit reached!
% 0.15/0.47 % (14973)------------------------------
% 0.15/0.47 % (14973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.47 % (14973)Termination reason: Unknown
% 0.15/0.47 % (14973)Termination phase: shuffling
% 0.15/0.47
% 0.15/0.47 % (14973)Memory used [KB]: 1791
% 0.15/0.47 % (14973)Time elapsed: 0.009 s
% 0.15/0.47 % (14973)Instructions burned: 17 (million)
% 0.15/0.47 % (14973)------------------------------
% 0.15/0.47 % (14973)------------------------------
% 0.15/0.48 % (14948)Instruction limit reached!
% 0.15/0.48 % (14948)------------------------------
% 0.15/0.48 % (14948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.48 % (14948)Termination reason: Unknown
% 0.15/0.48 % (14948)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (14948)Memory used [KB]: 10106
% 0.15/0.48 % (14948)Time elapsed: 0.130 s
% 0.15/0.48 % (14948)Instructions burned: 276 (million)
% 0.15/0.48 % (14948)------------------------------
% 0.15/0.48 % (14948)------------------------------
% 0.15/0.48 % (14974)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.15/0.48 % (14974)Instruction limit reached!
% 0.15/0.48 % (14974)------------------------------
% 0.15/0.48 % (14974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.48 % (14974)Termination reason: Unknown
% 0.15/0.48 % (14974)Termination phase: shuffling
% 0.15/0.48
% 0.15/0.48 % (14974)Memory used [KB]: 1535
% 0.15/0.48 % (14974)Time elapsed: 0.004 s
% 0.15/0.48 % (14974)Instructions burned: 4 (million)
% 0.15/0.48 % (14974)------------------------------
% 0.15/0.48 % (14974)------------------------------
% 0.15/0.49 % (14975)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.15/0.50 % (14976)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 (2998ds/127Mi)
% 0.15/0.51 % (14975)Instruction limit reached!
% 0.15/0.51 % (14975)------------------------------
% 0.15/0.51 % (14975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.51 % (14975)Termination reason: Unknown
% 0.15/0.51 % (14975)Termination phase: shuffling
% 0.15/0.51
% 0.15/0.51 % (14975)Memory used [KB]: 2046
% 0.15/0.51 % (14975)Time elapsed: 0.016 s
% 0.15/0.51 % (14975)Instructions burned: 32 (million)
% 0.15/0.51 % (14975)------------------------------
% 0.15/0.51 % (14975)------------------------------
% 0.15/0.52 % (14977)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.15/0.55 % (14976)Instruction limit reached!
% 0.15/0.55 % (14976)------------------------------
% 0.15/0.55 % (14976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.55 % (14976)Termination reason: Unknown
% 0.15/0.55 % (14976)Termination phase: Property scanning
% 0.15/0.55
% 0.15/0.55 % (14976)Memory used [KB]: 2686
% 0.15/0.55 % (14976)Time elapsed: 0.055 s
% 0.15/0.55 % (14976)Instructions burned: 128 (million)
% 0.15/0.55 % (14976)------------------------------
% 0.15/0.55 % (14976)------------------------------
% 0.15/0.56 % (14977)Instruction limit reached!
% 0.15/0.56 % (14977)------------------------------
% 0.15/0.56 % (14977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.56 % (14977)Termination reason: Unknown
% 0.15/0.56 % (14977)Termination phase: Property scanning
% 0.15/0.56
% 0.15/0.56 % (14977)Memory used [KB]: 2686
% 0.15/0.56 % (14977)Time elapsed: 0.046 s
% 0.15/0.56 % (14977)Instructions burned: 101 (million)
% 0.15/0.56 % (14977)------------------------------
% 0.15/0.56 % (14977)------------------------------
% 0.15/0.57 % (14978)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)
% 0.15/0.57 % (14978)Instruction limit reached!
% 0.15/0.57 % (14978)------------------------------
% 0.15/0.57 % (14978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.57 % (14978)Termination reason: Unknown
% 0.15/0.57 % (14978)Termination phase: shuffling
% 0.15/0.57
% 0.15/0.57 % (14978)Memory used [KB]: 1535
% 0.15/0.57 % (14978)Time elapsed: 0.004 s
% 0.15/0.57 % (14978)Instructions burned: 4 (million)
% 0.15/0.57 % (14978)------------------------------
% 0.15/0.57 % (14978)------------------------------
% 0.15/0.58 % (14979)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)
% 0.15/0.58 % (14980)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)
% 0.15/0.58 % (14965)First to succeed.
% 0.15/0.59 % (14979)Instruction limit reached!
% 0.15/0.59 % (14979)------------------------------
% 0.15/0.59 % (14979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.59 % (14979)Termination reason: Unknown
% 0.15/0.59 % (14979)Termination phase: shuffling
% 0.15/0.59
% 0.15/0.59 % (14979)Memory used [KB]: 1918
% 0.15/0.59 % (14979)Time elapsed: 0.012 s
% 0.15/0.59 % (14979)Instructions burned: 21 (million)
% 0.15/0.59 % (14979)------------------------------
% 0.15/0.59 % (14979)------------------------------
% 0.15/0.59 % (14965)Refutation found. Thanks to Tanya!
% 0.15/0.59 % SZS status Theorem for theBenchmark
% 0.15/0.59 % SZS output start Proof for theBenchmark
% 0.15/0.59 thf(func_def_0, type, in: $i > $i > $o).
% 0.15/0.59 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.15/0.59 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.15/0.59 thf(func_def_8, type, powerset: $i > $i).
% 0.15/0.59 thf(func_def_10, type, setunion: $i > $i).
% 0.15/0.59 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.15/0.59 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_26, type, prop2set: $o > $i).
% 0.15/0.59 thf(func_def_36, type, nonempty: $i > $o).
% 0.15/0.59 thf(func_def_69, type, set2prop: $i > $o).
% 0.15/0.59 thf(func_def_88, type, subset: $i > $i > $o).
% 0.15/0.59 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.15/0.59 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.15/0.59 thf(func_def_114, type, binunion: $i > $i > $i).
% 0.15/0.59 thf(func_def_122, type, binintersect: $i > $i > $i).
% 0.15/0.59 thf(func_def_135, type, regular: $i > $o).
% 0.15/0.59 thf(func_def_136, type, setminus: $i > $i > $i).
% 0.15/0.59 thf(func_def_147, type, symdiff: $i > $i > $i).
% 0.15/0.59 thf(func_def_153, type, iskpair: $i > $o).
% 0.15/0.59 thf(func_def_158, type, kpair: $i > $i > $i).
% 0.15/0.59 thf(func_def_160, type, cartprod: $i > $i > $i).
% 0.15/0.59 thf(func_def_177, type, singleton: $i > $o).
% 0.15/0.59 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 0.15/0.59 thf(func_def_184, type, atmost1p: $i > $o).
% 0.15/0.59 thf(func_def_185, type, atleast2p: $i > $o).
% 0.15/0.59 thf(func_def_186, type, atmost2p: $i > $o).
% 0.15/0.59 thf(func_def_187, type, upairsetp: $i > $o).
% 0.15/0.59 thf(func_def_191, type, kfst: $i > $i).
% 0.15/0.59 thf(func_def_203, type, ksnd: $i > $i).
% 0.15/0.59 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 0.15/0.59 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 0.15/0.59 thf(func_def_222, type, func: $i > $i > $i > $o).
% 0.15/0.59 thf(func_def_223, type, funcSet: $i > $i > $i).
% 0.15/0.59 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 0.15/0.59 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 0.15/0.59 thf(func_def_337, type, sP3: $i > $i > $i > $o).
% 0.15/0.59 thf(func_def_340, type, sP6: $o > $i > $i > $i > $o).
% 0.15/0.59 thf(func_def_341, type, sP7: $i > $i > $i > $i > $o).
% 0.15/0.59 thf(func_def_343, type, sP9: $i > $i > $o).
% 0.15/0.59 thf(func_def_344, type, sP10: $i > $o).
% 0.15/0.59 thf(func_def_345, type, sP11: $i > $i > $o).
% 0.15/0.59 thf(func_def_346, type, sP12: $i > $i > $o).
% 0.15/0.59 thf(func_def_355, type, sK21: $i > $o).
% 0.15/0.59 thf(func_def_358, type, sK24: $i > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_359, type, sK25: $i > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_378, type, sK44: $i > $o).
% 0.15/0.59 thf(func_def_381, type, sK47: $i > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_384, type, sK50: $i > $o).
% 0.15/0.59 thf(func_def_385, type, sK51: $i > $o).
% 0.15/0.59 thf(func_def_386, type, sK52: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.15/0.59 thf(func_def_387, type, sK53: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.15/0.59 thf(func_def_392, type, sK58: $i > $o).
% 0.15/0.59 thf(func_def_396, type, sK62: $i > $i > ($i > $i) > $i).
% 0.15/0.59 thf(func_def_397, type, sK63: $i > $i).
% 0.15/0.59 thf(func_def_407, type, sK73: $o > $i > $i > $i).
% 0.15/0.59 thf(func_def_411, type, sK77: $i > $o).
% 0.15/0.59 thf(func_def_414, type, sK80: $i > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_415, type, sK81: $i > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_424, type, sK90: $i > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_425, type, sK91: $i > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_426, type, sK92: $i > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_435, type, sK101: $i > $o).
% 0.15/0.59 thf(func_def_437, type, sK103: $i > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_447, type, sK113: $i > $i > $i).
% 0.15/0.59 thf(func_def_468, type, sK134: $i > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_469, type, sK135: $i > $o).
% 0.15/0.59 thf(func_def_477, type, sK143: $i > $i).
% 0.15/0.59 thf(func_def_483, type, sK149: $i > $i).
% 0.15/0.59 thf(func_def_543, type, sK209: $i > $i > $o).
% 0.15/0.59 thf(func_def_544, type, sK210: $i > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_545, type, sK211: $i > $o).
% 0.15/0.59 thf(func_def_547, type, sK213: $i > $i).
% 0.15/0.59 thf(func_def_549, type, sK215: $i > $i > $o).
% 0.15/0.59 thf(func_def_554, type, sK220: ($i > $i) > $i > $i > $i).
% 0.15/0.59 thf(func_def_557, type, sK223: $i > $i).
% 0.15/0.59 thf(func_def_563, type, sK229: $i > $o).
% 0.15/0.59 thf(func_def_565, type, sK231: $i > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_566, type, sK232: $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_570, type, sK236: $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_587, type, sK253: $i > $i > ($i > $i) > $i).
% 0.15/0.59 thf(func_def_588, type, sK254: $i > $i).
% 0.15/0.59 thf(func_def_594, type, sK260: $i > $i).
% 0.15/0.59 thf(func_def_596, type, sK262: $i > ($i > $i) > $i > $i).
% 0.15/0.59 thf(func_def_597, type, sK263: $i > $i > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_598, type, sK264: $i > $o).
% 0.15/0.59 thf(func_def_603, type, sK269: $i > $o).
% 0.15/0.59 thf(func_def_607, type, sK273: $i > $i > $o).
% 0.15/0.59 thf(func_def_611, type, sK277: $i > $o).
% 0.15/0.59 thf(func_def_637, type, sK303: $i > $o).
% 0.15/0.59 thf(func_def_638, type, sK304: $i > $o).
% 0.15/0.59 thf(func_def_639, type, sK305: ($i > $o) > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_640, type, sK306: ($i > $o) > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_643, type, sK309: $i > $o).
% 0.15/0.59 thf(func_def_659, type, sK325: $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_660, type, sK326: ($i > $o) > $i > $i).
% 0.15/0.59 thf(func_def_662, type, sK328: $i > $o).
% 0.15/0.59 thf(func_def_690, type, sK356: $i > $o).
% 0.15/0.59 thf(func_def_695, type, sK361: $i > $o).
% 0.15/0.59 thf(func_def_765, type, sK431: $i > $o).
% 0.15/0.59 thf(func_def_767, type, sK433: ($i > $o) > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_768, type, sK434: ($i > $o) > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_770, type, sK436: $i > $i > $o).
% 0.15/0.59 thf(func_def_797, type, sK463: $i > $i > $o).
% 0.15/0.59 thf(func_def_799, type, sK465: $i > $i).
% 0.15/0.59 thf(func_def_800, type, sK466: $i > $i).
% 0.15/0.59 thf(func_def_801, type, sK467: $i > ($i > $i > $o) > $i).
% 0.15/0.59 thf(func_def_802, type, sK468: $i > ($i > $i > $o) > $i).
% 0.15/0.59 thf(func_def_803, type, sK469: $i > $i > ($i > $i > $o) > $i).
% 0.15/0.59 thf(func_def_811, type, sK477: $i > $o).
% 0.15/0.59 thf(func_def_819, type, sK485: $i > $o).
% 0.15/0.59 thf(func_def_824, type, sK490: $i > $o).
% 0.15/0.59 thf(func_def_825, type, sK491: ($i > $o) > $i).
% 0.15/0.59 thf(func_def_840, type, sK506: $i > $i > $i).
% 0.15/0.59 thf(func_def_851, type, sK517: $i > $i > $i).
% 0.15/0.59 thf(func_def_865, type, sK531: $i > $i > $i).
% 0.15/0.59 thf(func_def_866, type, sK532: $i > $i > $i).
% 0.15/0.59 thf(func_def_902, type, sK568: $i > $o).
% 0.15/0.59 thf(func_def_903, type, sK569: $i > $i).
% 0.15/0.59 thf(func_def_904, type, sK570: ($i > $o) > $i).
% 0.15/0.59 thf(func_def_905, type, sK571: $i > $o).
% 0.15/0.59 thf(func_def_915, type, sK581: ($i > $o) > $i).
% 0.15/0.59 thf(func_def_916, type, sK582: ($i > $o) > $i).
% 0.15/0.59 thf(func_def_917, type, sK583: $i > $o).
% 0.15/0.59 thf(func_def_933, type, sK599: $i > $i > $i).
% 0.15/0.59 thf(func_def_934, type, sK600: $i > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_967, type, sK633: $i > $i > $i).
% 0.15/0.59 thf(func_def_976, type, sK642: ($i > $o) > $i).
% 0.15/0.59 thf(func_def_977, type, sK643: $i > $o).
% 0.15/0.59 thf(func_def_978, type, sK644: $i > $i).
% 0.15/0.59 thf(func_def_987, type, sK653: $i > $i > $o).
% 0.15/0.59 thf(func_def_1002, type, sK668: $i > $i > $i).
% 0.15/0.59 thf(func_def_1014, type, sK680: $i > $i > ($i > $i) > $i).
% 0.15/0.59 thf(func_def_1015, type, sK681: $i > $i).
% 0.15/0.59 thf(func_def_1021, type, sK687: $i > $i > ($i > $i) > $i).
% 0.15/0.59 thf(func_def_1022, type, sK688: $i > $i).
% 0.15/0.59 thf(func_def_1031, type, sK697: $i > $o).
% 0.15/0.59 thf(func_def_1033, type, sK699: ($i > $o) > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1034, type, sK700: ($i > $o) > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1036, type, sK702: $i > $o).
% 0.15/0.59 thf(func_def_1042, type, sK708: $i > $o).
% 0.15/0.59 thf(func_def_1043, type, sK709: $i > $o).
% 0.15/0.59 thf(func_def_1044, type, sK710: ($i > $o) > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_1045, type, sK711: ($i > $o) > ($i > $o) > $i).
% 0.15/0.59 thf(func_def_1059, type, sK725: $i > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1068, type, sK734: ($i > $o) > $i > $i).
% 0.15/0.59 thf(func_def_1070, type, sK736: $i > $o).
% 0.15/0.59 thf(func_def_1082, type, sK748: $i > $i > $o).
% 0.15/0.59 thf(func_def_1092, type, sK758: $i > $i > $i).
% 0.15/0.59 thf(func_def_1097, type, sK763: ($i > $o) > $i > $i).
% 0.15/0.59 thf(func_def_1099, type, sK765: $i > $o).
% 0.15/0.59 thf(func_def_1113, type, sK779: $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1136, type, sK802: $i > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1137, type, sK803: $i > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1138, type, sK804: $i > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1139, type, sK805: $i > $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1160, type, sK826: $i > $i > $i).
% 0.15/0.59 thf(func_def_1177, type, sK843: $i > $o).
% 0.15/0.59 thf(func_def_1184, type, sK850: $i > $o).
% 0.15/0.59 thf(func_def_1186, type, sK852: ($i > $o) > $i > $i).
% 0.15/0.59 thf(func_def_1195, type, sK861: $i > $i > $o).
% 0.15/0.59 thf(func_def_1197, type, sK863: $i > $o).
% 0.15/0.59 thf(func_def_1207, type, sK873: $i > $i > $i).
% 0.15/0.59 thf(func_def_1208, type, sK874: $i > $i > $i).
% 0.15/0.59 thf(func_def_1209, type, sK875: $i > $i > $i).
% 0.15/0.59 thf(func_def_1210, type, sK876: $i > $i > $i).
% 0.15/0.59 thf(func_def_1211, type, sK877: $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1212, type, sK878: $i > $i).
% 0.15/0.59 thf(func_def_1213, type, sK879: $i > $i).
% 0.15/0.59 thf(func_def_1214, type, sK880: $i > $i).
% 0.15/0.59 thf(func_def_1215, type, sK881: $i > $i).
% 0.15/0.59 thf(func_def_1216, type, sK882: $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1217, type, sK883: $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1218, type, sK884: $i > $i > $i).
% 0.15/0.59 thf(func_def_1219, type, sK885: $i > $i > $i).
% 0.15/0.59 thf(func_def_1220, type, sK886: $i > $i > $i).
% 0.15/0.59 thf(func_def_1221, type, sK887: $i > $i).
% 0.15/0.59 thf(func_def_1222, type, sK888: $i > $i > $i).
% 0.15/0.59 thf(func_def_1224, type, sK890: $i > $i).
% 0.15/0.59 thf(func_def_1225, type, sK891: $i > $i).
% 0.15/0.59 thf(func_def_1228, type, sK894: $i > $i).
% 0.15/0.59 thf(func_def_1231, type, sK897: $i > $i).
% 0.15/0.59 thf(func_def_1232, type, sK898: $i > $i).
% 0.15/0.59 thf(func_def_1240, type, sK906: $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1241, type, sK907: $i > $i > $i > $i).
% 0.15/0.59 thf(func_def_1245, type, sK911: $i > $i).
% 0.15/0.59 thf(func_def_1251, type, sK917: $i > $o).
% 0.15/0.59 thf(func_def_1255, type, ph921: !>[X0: $tType]:(X0)).
% 0.15/0.59 thf(f4695,plain,(
% 0.15/0.59 $false),
% 0.15/0.59 inference(trivial_inequality_removal,[],[f4689])).
% 0.15/0.59 thf(f4689,plain,(
% 0.15/0.59 ($true != $true)),
% 0.15/0.59 inference(superposition,[],[f4489,f2965])).
% 0.15/0.59 thf(f2965,plain,(
% 0.15/0.59 ($true = (subset @ sK109 @ (setminus @ sK108 @ sK110)))),
% 0.15/0.59 inference(cnf_transformation,[],[f1411])).
% 0.15/0.59 thf(f1411,plain,(
% 0.15/0.59 (eta1 = $true) & (setunionI = $true) & (powersetAx = $true) & (powersetTE1 = $true) & (setminusI = $true) & (singletoninpowerset = $true) & (iftrue = $true) & (doubleComplementEq = $true) & (singletonsswitch = $true) & (cartprodmempair = $true) & (quantDeMorgan4 = $true) & (complementUnionInPowersetComplement = $true) & (wellorderingAx = $true) & (emptyinunitempty = $true) & (funcImageSingleton = $true) & (brelnall2 = $true) & (quantDeMorgan3 = $true) & (subsetemptysetimpeq = $true) & (brelnall1 = $true) & (ap2apEq2 = $true) & (binintersectTELcontra = $true) & (setadjoinIL = $true) & (powersetE1 = $true) & (funcinfuncset = $true) & (complementTcontraSubset = $true) & (descrp = $true) & (notdexE = $true) & (setextT = $true) & (iffalseProp2 = $true) & (singletonsubset = $true) & (setukpairinjL = $true) & (dsetconstrI = $true) & (kpairp = $true) & (notsubsetI = $true) & (quantDeMorgan2 = $true) & (binunionTIRcontra = $true) & (setminusIRneg = $true) & (binunionTILcontra = $true) & (funcextLem = $true) & (powersetI1 = $true) & (setminusEL = $true) & (emptyinPowerset = $true) & (ex1I = $true) & (binintersectSubset2 = $true) & (exuEu = $true) & (woz1_2 = $true) & (setukpairinjR = $true) & (infuncsetfunc = $true) & (sepSubset = $true) & (cartprodmempair1 = $true) & (kfstsingleton = $true) & (subsetTI = $true) & (eqimpsubset2 = $true) & (doubleComplementE1 = $true) & (setadjoinSub2 = $true) & (ifp = $true) & (upairinpowunion = $true) & (notinemptyset = $true) & (notequalI1 = $true) & (iftrueProp1 = $true) & (eqimpsubset1 = $true) & (notdallE = $true) & (emptysetimpfalse = $true) & (symdiffIneg1 = $true) & (kpairsurjEq = $true) & (setukpairinjR11 = $true) & (binunionLsub = $true) & (ap2apEq1 = $true) & (dsetconstr__Cong = $true) & (binintersectI = $true) & (dpsetconstrERa = $true) & (dpsetconstrEL2 = $true) & (demorgan2a1 = $true) & (lamp = $true) & (woz13rule1 = $true) & (omegaIndAx = $true) & (subset2powerset = $true) & (powerset__Cong = $true) & (cartprodsndpairEq = $true) & (cartprodpairsurjEq = $true) & (exuI3 = $true) & (setunionE = $true) & (woz1_1 = $true) & (dsetconstrER = $true) & (binintersectSubset5 = $true) & (binunionTE = $true) & (setminusERneg = $true) & (ubforcartprodlem1 = $true) & (binintersectTERcontra = $true) & (demorgan1 = $true) & (woz13rule4 = $true) & (demorgan2a2 = $true) & (dpsetconstrEL1 = $true) & (in__Cong = $true) & (emptyset__Cong = $true) & (setunionE2 = $true) & (demorgan2b2 = $true) & (binunionRsub = $true) & (setukpairinjL2 = $true) & (cartprodpairin = $true) & (lamProp = $true) & (setminusLsub = $true) & (doubleComplementSub2 = $true) & (setunion__Cong = $true) & (inComplementUnionImpNotIn1 = $true) & (lam2lamEq = $true) & (symdiffI2 = $true) & (exuE3u = $true) & (theeq = $true) & (upairset2IR = $true) & (beta1 = $true) & (symdiffIneg2 = $true) & (subsetTrans = $true) & (binunionIL = $true) & (dpsetconstrER = $true) & (funcGraphProp2 = $true) & (doubleComplementSub1 = $true) & (dsetconstrEL = $true) & (exuE2 = $true) & (binunionIR = $true) & (ubforcartprodlem2 = $true) & (($true = (in @ sK109 @ (powerset @ sK108))) & (((subset @ sK110 @ (setminus @ sK108 @ sK109)) != $true) & ($true = (in @ sK110 @ (powerset @ sK108))) & ($true = (subset @ sK109 @ (setminus @ sK108 @ sK110))))) & (cartprodpairmemEL = $true) & (inCongP = $true) & (prop2setE = $true) & (funcext2 = $true) & (contrasubsetT1 = $true) & (complementInPowersetComplementIntersect = $true) & (singletoninpowunion = $true) & (emptysetE = $true) & (kfstpairEq = $true) & (ex1E1 = $true) & (bs114d = $true) & (exuE1 = $true) & (notinsingleton = $true) & (setext = $true) & (emptyE1 = $true) & (woz1_3 = $true) & (contraSubsetComplement = $true) & (singletonsuniq = $true) & (cartprodsndin = $true) & (emptyI = $true) & (binunionE = $true) & (descr__Cong = $true) & (woz13rule3 = $true) & (omegaSAx = $true) & (dpsetconstrI = $true) & (powersetI = $true) & (setOfPairsIsBReln = $true) & (disjointsetsI1 = $true) & (omega__Cong = $true) & (setukpairIL = $true) & (powersetT_lem = $true) & (quantDeMorgan1 = $true) & (setbeta = $true) & (binintersectSubset1 = $true) & (complementSubsetComplementIntersect = $true) & (singletonprop = $true) & (setadjoinOr = $true) & (ex1I2 = $true) & (complementImpComplementIntersect = $true) & (demorgan2b = $true) & (theprop = $true) & (foundationAx = $true) & (binintersectLsub = $true) & (cartprodfstpairEq = $true) & (demorgan2a = $true) & (uniqinunit = $true) & (vacuousDall = $true) & (nonemptyE1 = $true) & (app = $true) & (setadjoinSub = $true) & (contrasubsetT3 = $true) & (setadjoinE = $true) & (setminusSubset1 = $true) & (contrasubsetT = $true) & (nonemptyI1 = $true) & (ap2p = $true) & (upairsetIR = $true) & (binunionEcases = $true) & (setunionsingleton2 = $true) & (inComplementUnionImpInComplement1 = $true) & (subsetI1 = $true) & (eqinunit = $true) & (symdiffE = $true) & (prop2set2propI = $true) & (setukpairinjR12 = $true) & (demorgan1b = $true) & (cartprodmempaircEq = $true) & (iffalse = $true) & (binintersectRsub = $true) & (exuI2 = $true) & (omega0Ax = $true) & (exu__Cong = $true) & (demorgan2 = $true) & (ifSingleton = $true) & (funcGraphProp4 = $true) & (setukpairIR = $true) & (woz13rule2 = $true) & (kpairiskpair = $true) & (doubleComplementI1 = $true) & (binintersectSubset4 = $true) & (subsetRefl = $true) & (iftrueorfalse = $true) & (woz13rule0 = $true) & (upairsetIL = $true) & (exuE3e = $true) & (upairset2E = $true) & (complementTnotintersectT = $true) & (replAx = $true) & (emptysetAx = $true) & (setminusER = $true) & (subbreln = $true) & (setukpairinjR1 = $true) & (symdiffI1 = $true) & (inIntersectImpInIntersectUnions = $true) & (funcGraphProp1 = $true) & (ksndsingleton = $true) & (binintersectSubset3 = $true) & (upairsetE = $true) & (apProp = $true) & (setukpairinjL1 = $true) & (setminusILneg = $true) & (complementTE1 = $true) & (upairsubunion = $true) & (binunionT_lem = $true) & (complementTI1 = $true) & (setadjoinIR = $true) & (powersetsubset = $true) & (setminusSubset2 = $true) & (iftrueProp2 = $true) & (setunionsingleton = $true) & (contrasubsetT2 = $true) & (setunionAx = $true) & (ubforcartprodlem3 = $true) & (nonemptyImpWitness = $true) & (eta2 = $true) & (noeltsimpempty = $true) & (binintersectER = $true) & (inIntersectImpInUnion = $true) & (notequalI2 = $true) & (secondinupair = $true) & (binunionTEcontra = $true) & (emptyInPowerset = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (lam2p = $true) & (nonemptyI = $true) & (subsetE = $true) & (beta2 = $true) & (exuI1 = $true) & (setminusELneg = $true) & (inPowerset = $true) & (cartprodpairmemER = $true) & (setadjoinAx = $true) & (sepInPowerset = $true) & (subPowSU = $true) & (dpsetconstrSub = $true) & (subsetE2 = $true) & (setextAx = $true) & (eqbreln = $true) & (ex1E2 = $true) & (funcext = $true) & (complementT_lem = $true) & (powersetTI1 = $true) & (setunionsingleton1 = $true) & (intersectInPowersetIntersectUnions = $true) & (iffalseProp1 = $true) & (prop2setI = $true) & (binintersectT_lem = $true) & (powersetE = $true) & (setadjoin__Cong = $true) & (inIntersectImpInUnion2 = $true) & (setminusT_lem = $true) & (demorgan1a = $true) & (setextsub = $true) & (setoftrueEq = $true) & (binintersectEL = $true) & (funcGraphProp3 = $true) & (ksndpairEq = $true) & (setukpairinjR2 = $true) & (cartprodfstin = $true) & (upairequniteq = $true)),
% 0.15/0.59 inference(skolemisation,[status(esa),new_symbols(skolem,[sK108,sK109,sK110])],[f979,f1410,f1409])).
% 0.15/0.59 thf(f1409,plain,(
% 0.15/0.59 ? [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) & ? [X2] : (($true != (subset @ X2 @ (setminus @ X0 @ X1))) & ($true = (in @ X2 @ (powerset @ X0))) & ((subset @ X1 @ (setminus @ X0 @ X2)) = $true))) => (($true = (in @ sK109 @ (powerset @ sK108))) & ? [X2] : (($true != (subset @ X2 @ (setminus @ sK108 @ sK109))) & ((in @ X2 @ (powerset @ sK108)) = $true) & ($true = (subset @ sK109 @ (setminus @ sK108 @ X2)))))),
% 0.15/0.59 introduced(choice_axiom,[])).
% 0.15/0.59 thf(f1410,plain,(
% 0.15/0.59 ? [X2] : (($true != (subset @ X2 @ (setminus @ sK108 @ sK109))) & ((in @ X2 @ (powerset @ sK108)) = $true) & ($true = (subset @ sK109 @ (setminus @ sK108 @ X2)))) => (((subset @ sK110 @ (setminus @ sK108 @ sK109)) != $true) & ($true = (in @ sK110 @ (powerset @ sK108))) & ($true = (subset @ sK109 @ (setminus @ sK108 @ sK110))))),
% 0.15/0.59 introduced(choice_axiom,[])).
% 0.15/0.59 thf(f979,plain,(
% 0.15/0.59 (eta1 = $true) & (setunionI = $true) & (powersetAx = $true) & (powersetTE1 = $true) & (setminusI = $true) & (singletoninpowerset = $true) & (iftrue = $true) & (doubleComplementEq = $true) & (singletonsswitch = $true) & (cartprodmempair = $true) & (quantDeMorgan4 = $true) & (complementUnionInPowersetComplement = $true) & (wellorderingAx = $true) & (emptyinunitempty = $true) & (funcImageSingleton = $true) & (brelnall2 = $true) & (quantDeMorgan3 = $true) & (subsetemptysetimpeq = $true) & (brelnall1 = $true) & (ap2apEq2 = $true) & (binintersectTELcontra = $true) & (setadjoinIL = $true) & (powersetE1 = $true) & (funcinfuncset = $true) & (complementTcontraSubset = $true) & (descrp = $true) & (notdexE = $true) & (setextT = $true) & (iffalseProp2 = $true) & (singletonsubset = $true) & (setukpairinjL = $true) & (dsetconstrI = $true) & (kpairp = $true) & (notsubsetI = $true) & (quantDeMorgan2 = $true) & (binunionTIRcontra = $true) & (setminusIRneg = $true) & (binunionTILcontra = $true) & (funcextLem = $true) & (powersetI1 = $true) & (setminusEL = $true) & (emptyinPowerset = $true) & (ex1I = $true) & (binintersectSubset2 = $true) & (exuEu = $true) & (woz1_2 = $true) & (setukpairinjR = $true) & (infuncsetfunc = $true) & (sepSubset = $true) & (cartprodmempair1 = $true) & (kfstsingleton = $true) & (subsetTI = $true) & (eqimpsubset2 = $true) & (doubleComplementE1 = $true) & (setadjoinSub2 = $true) & (ifp = $true) & (upairinpowunion = $true) & (notinemptyset = $true) & (notequalI1 = $true) & (iftrueProp1 = $true) & (eqimpsubset1 = $true) & (notdallE = $true) & (emptysetimpfalse = $true) & (symdiffIneg1 = $true) & (kpairsurjEq = $true) & (setukpairinjR11 = $true) & (binunionLsub = $true) & (ap2apEq1 = $true) & (dsetconstr__Cong = $true) & (binintersectI = $true) & (dpsetconstrERa = $true) & (dpsetconstrEL2 = $true) & (demorgan2a1 = $true) & (lamp = $true) & (woz13rule1 = $true) & (omegaIndAx = $true) & (subset2powerset = $true) & (powerset__Cong = $true) & (cartprodsndpairEq = $true) & (cartprodpairsurjEq = $true) & (exuI3 = $true) & (setunionE = $true) & (woz1_1 = $true) & (dsetconstrER = $true) & (binintersectSubset5 = $true) & (binunionTE = $true) & (setminusERneg = $true) & (ubforcartprodlem1 = $true) & (binintersectTERcontra = $true) & (demorgan1 = $true) & (woz13rule4 = $true) & (demorgan2a2 = $true) & (dpsetconstrEL1 = $true) & (in__Cong = $true) & (emptyset__Cong = $true) & (setunionE2 = $true) & (demorgan2b2 = $true) & (binunionRsub = $true) & (setukpairinjL2 = $true) & (cartprodpairin = $true) & (lamProp = $true) & (setminusLsub = $true) & (doubleComplementSub2 = $true) & (setunion__Cong = $true) & (inComplementUnionImpNotIn1 = $true) & (lam2lamEq = $true) & (symdiffI2 = $true) & (exuE3u = $true) & (theeq = $true) & (upairset2IR = $true) & (beta1 = $true) & (symdiffIneg2 = $true) & (subsetTrans = $true) & (binunionIL = $true) & (dpsetconstrER = $true) & (funcGraphProp2 = $true) & (doubleComplementSub1 = $true) & (dsetconstrEL = $true) & (exuE2 = $true) & (binunionIR = $true) & (ubforcartprodlem2 = $true) & ? [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) & ? [X2] : (($true != (subset @ X2 @ (setminus @ X0 @ X1))) & ($true = (in @ X2 @ (powerset @ X0))) & ((subset @ X1 @ (setminus @ X0 @ X2)) = $true))) & (cartprodpairmemEL = $true) & (inCongP = $true) & (prop2setE = $true) & (funcext2 = $true) & (contrasubsetT1 = $true) & (complementInPowersetComplementIntersect = $true) & (singletoninpowunion = $true) & (emptysetE = $true) & (kfstpairEq = $true) & (ex1E1 = $true) & (bs114d = $true) & (exuE1 = $true) & (notinsingleton = $true) & (setext = $true) & (emptyE1 = $true) & (woz1_3 = $true) & (contraSubsetComplement = $true) & (singletonsuniq = $true) & (cartprodsndin = $true) & (emptyI = $true) & (binunionE = $true) & (descr__Cong = $true) & (woz13rule3 = $true) & (omegaSAx = $true) & (dpsetconstrI = $true) & (powersetI = $true) & (setOfPairsIsBReln = $true) & (disjointsetsI1 = $true) & (omega__Cong = $true) & (setukpairIL = $true) & (powersetT_lem = $true) & (quantDeMorgan1 = $true) & (setbeta = $true) & (binintersectSubset1 = $true) & (complementSubsetComplementIntersect = $true) & (singletonprop = $true) & (setadjoinOr = $true) & (ex1I2 = $true) & (complementImpComplementIntersect = $true) & (demorgan2b = $true) & (theprop = $true) & (foundationAx = $true) & (binintersectLsub = $true) & (cartprodfstpairEq = $true) & (demorgan2a = $true) & (uniqinunit = $true) & (vacuousDall = $true) & (nonemptyE1 = $true) & (app = $true) & (setadjoinSub = $true) & (contrasubsetT3 = $true) & (setadjoinE = $true) & (setminusSubset1 = $true) & (contrasubsetT = $true) & (nonemptyI1 = $true) & (ap2p = $true) & (upairsetIR = $true) & (binunionEcases = $true) & (setunionsingleton2 = $true) & (inComplementUnionImpInComplement1 = $true) & (subsetI1 = $true) & (eqinunit = $true) & (symdiffE = $true) & (prop2set2propI = $true) & (setukpairinjR12 = $true) & (demorgan1b = $true) & (cartprodmempaircEq = $true) & (iffalse = $true) & (binintersectRsub = $true) & (exuI2 = $true) & (omega0Ax = $true) & (exu__Cong = $true) & (demorgan2 = $true) & (ifSingleton = $true) & (funcGraphProp4 = $true) & (setukpairIR = $true) & (woz13rule2 = $true) & (kpairiskpair = $true) & (doubleComplementI1 = $true) & (binintersectSubset4 = $true) & (subsetRefl = $true) & (iftrueorfalse = $true) & (woz13rule0 = $true) & (upairsetIL = $true) & (exuE3e = $true) & (upairset2E = $true) & (complementTnotintersectT = $true) & (replAx = $true) & (emptysetAx = $true) & (setminusER = $true) & (subbreln = $true) & (setukpairinjR1 = $true) & (symdiffI1 = $true) & (inIntersectImpInIntersectUnions = $true) & (funcGraphProp1 = $true) & (ksndsingleton = $true) & (binintersectSubset3 = $true) & (upairsetE = $true) & (apProp = $true) & (setukpairinjL1 = $true) & (setminusILneg = $true) & (complementTE1 = $true) & (upairsubunion = $true) & (binunionT_lem = $true) & (complementTI1 = $true) & (setadjoinIR = $true) & (powersetsubset = $true) & (setminusSubset2 = $true) & (iftrueProp2 = $true) & (setunionsingleton = $true) & (contrasubsetT2 = $true) & (setunionAx = $true) & (ubforcartprodlem3 = $true) & (nonemptyImpWitness = $true) & (eta2 = $true) & (noeltsimpempty = $true) & (binintersectER = $true) & (inIntersectImpInUnion = $true) & (notequalI2 = $true) & (secondinupair = $true) & (binunionTEcontra = $true) & (emptyInPowerset = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (lam2p = $true) & (nonemptyI = $true) & (subsetE = $true) & (beta2 = $true) & (exuI1 = $true) & (setminusELneg = $true) & (inPowerset = $true) & (cartprodpairmemER = $true) & (setadjoinAx = $true) & (sepInPowerset = $true) & (subPowSU = $true) & (dpsetconstrSub = $true) & (subsetE2 = $true) & (setextAx = $true) & (eqbreln = $true) & (ex1E2 = $true) & (funcext = $true) & (complementT_lem = $true) & (powersetTI1 = $true) & (setunionsingleton1 = $true) & (intersectInPowersetIntersectUnions = $true) & (iffalseProp1 = $true) & (prop2setI = $true) & (binintersectT_lem = $true) & (powersetE = $true) & (setadjoin__Cong = $true) & (inIntersectImpInUnion2 = $true) & (setminusT_lem = $true) & (demorgan1a = $true) & (setextsub = $true) & (setoftrueEq = $true) & (binintersectEL = $true) & (funcGraphProp3 = $true) & (ksndpairEq = $true) & (setukpairinjR2 = $true) & (cartprodfstin = $true) & (upairequniteq = $true)),
% 0.15/0.59 inference(flattening,[],[f978])).
% 0.15/0.59 thf(f978,plain,(
% 0.15/0.59 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : ((($true != (subset @ X2 @ (setminus @ X0 @ X1))) & ((subset @ X1 @ (setminus @ X0 @ X2)) = $true)) & ($true = (in @ X2 @ (powerset @ X0)))) & ($true = (in @ X1 @ (powerset @ X0)))) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 0.15/0.59 inference(ennf_transformation,[],[f541])).
% 0.15/0.59 thf(f541,plain,(
% 0.15/0.59 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ! [X0,X1] : (($true = (in @ X1 @ (powerset @ X0))) => ! [X2] : (($true = (in @ X2 @ (powerset @ X0))) => (((subset @ X1 @ (setminus @ X0 @ X2)) = $true) => ($true = (subset @ X2 @ (setminus @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.15/0.59 inference(fool_elimination,[],[f540])).
% 0.15/0.59 thf(f540,plain,(
% 0.15/0.59 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => ! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => ! [X2] : ((in @ X2 @ (powerset @ X0)) => ((subset @ X1 @ (setminus @ X0 @ X2)) => (subset @ X2 @ (setminus @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.15/0.59 inference(rectify,[],[f288])).
% 0.15/0.59 thf(f288,negated_conjecture,(
% 0.15/0.59 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ((subset @ X11 @ (setminus @ X3 @ X16)) => (subset @ X16 @ (setminus @ X3 @ X11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.15/0.59 inference(negated_conjecture,[],[f287])).
% 0.15/0.59 thf(f287,conjecture,(
% 0.15/0.59 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => ! [X3,X11] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ((subset @ X11 @ (setminus @ X3 @ X16)) => (subset @ X16 @ (setminus @ X3 @ X11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',woz1_4)).
% 0.15/0.59 thf(f4489,plain,(
% 0.15/0.59 ($true != (subset @ sK109 @ (setminus @ sK108 @ sK110)))),
% 0.15/0.59 inference(trivial_inequality_removal,[],[f4488])).
% 0.15/0.59 thf(f4488,plain,(
% 0.15/0.59 ($true != (subset @ sK109 @ (setminus @ sK108 @ sK110))) | ($true != $true)),
% 0.15/0.59 inference(forward_demodulation,[],[f4487,f2966])).
% 0.15/0.59 thf(f2966,plain,(
% 0.15/0.59 ($true = (in @ sK110 @ (powerset @ sK108)))),
% 0.15/0.59 inference(cnf_transformation,[],[f1411])).
% 0.15/0.59 thf(f4487,plain,(
% 0.15/0.59 ($true != (subset @ sK109 @ (setminus @ sK108 @ sK110))) | ($true != (in @ sK110 @ (powerset @ sK108)))),
% 0.15/0.59 inference(trivial_inequality_removal,[],[f4486])).
% 0.15/0.59 thf(f4486,plain,(
% 0.15/0.59 ($true != (subset @ sK109 @ (setminus @ sK108 @ sK110))) | ($true != $true) | ($true != (in @ sK110 @ (powerset @ sK108)))),
% 0.15/0.59 inference(forward_demodulation,[],[f4485,f3065])).
% 0.15/0.59 thf(f3065,plain,(
% 0.15/0.59 (complementTcontraSubset = $true)),
% 0.15/0.59 inference(cnf_transformation,[],[f1411])).
% 0.15/0.59 thf(f4485,plain,(
% 0.15/0.59 (complementTcontraSubset != $true) | ($true != (subset @ sK109 @ (setminus @ sK108 @ sK110))) | ($true != (in @ sK110 @ (powerset @ sK108)))),
% 0.15/0.59 inference(trivial_inequality_removal,[],[f4484])).
% 0.15/0.59 thf(f4484,plain,(
% 0.15/0.59 ($true != $true) | (complementTcontraSubset != $true) | ($true != (subset @ sK109 @ (setminus @ sK108 @ sK110))) | ($true != (in @ sK110 @ (powerset @ sK108)))),
% 0.15/0.59 inference(forward_demodulation,[],[f4477,f2968])).
% 0.15/0.59 thf(f2968,plain,(
% 0.15/0.59 ($true = (in @ sK109 @ (powerset @ sK108)))),
% 0.15/0.59 inference(cnf_transformation,[],[f1411])).
% 0.15/0.59 thf(f4477,plain,(
% 0.15/0.59 ($true != (in @ sK109 @ (powerset @ sK108))) | ($true != (in @ sK110 @ (powerset @ sK108))) | (complementTcontraSubset != $true) | ($true != (subset @ sK109 @ (setminus @ sK108 @ sK110)))),
% 0.15/0.59 inference(trivial_inequality_removal,[],[f4470])).
% 0.15/0.59 thf(f4470,plain,(
% 0.15/0.59 ($true != (in @ sK109 @ (powerset @ sK108))) | ($true != $true) | ($true != (in @ sK110 @ (powerset @ sK108))) | ($true != (subset @ sK109 @ (setminus @ sK108 @ sK110))) | (complementTcontraSubset != $true)),
% 0.15/0.59 inference(superposition,[],[f2967,f3702])).
% 0.15/0.59 thf(f3702,plain,(
% 0.15/0.59 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true = (subset @ X5 @ (setminus @ X4 @ X3))) | (complementTcontraSubset != $true) | ((in @ X3 @ (powerset @ X4)) != $true) | ($true != (in @ X5 @ (powerset @ X4))) | ($true != (subset @ X3 @ (setminus @ X4 @ X5)))) )),
% 0.15/0.59 inference(cnf_transformation,[],[f2119])).
% 0.15/0.59 thf(f2119,plain,(
% 0.15/0.59 ((complementTcontraSubset = $true) | ((($true = (subset @ sK558 @ (setminus @ sK559 @ sK560))) & ($true != (subset @ sK560 @ (setminus @ sK559 @ sK558))) & ($true = (in @ sK560 @ (powerset @ sK559)))) & ($true = (in @ sK558 @ (powerset @ sK559))))) & (! [X3,X4] : (! [X5] : (($true != (subset @ X3 @ (setminus @ X4 @ X5))) | ($true = (subset @ X5 @ (setminus @ X4 @ X3))) | ($true != (in @ X5 @ (powerset @ X4)))) | ((in @ X3 @ (powerset @ X4)) != $true)) | (complementTcontraSubset != $true))),
% 0.15/0.59 inference(skolemisation,[status(esa),new_symbols(skolem,[sK558,sK559,sK560])],[f2116,f2118,f2117])).
% 0.15/0.59 thf(f2117,plain,(
% 0.15/0.59 ? [X0,X1] : (? [X2] : (($true = (subset @ X0 @ (setminus @ X1 @ X2))) & ($true != (subset @ X2 @ (setminus @ X1 @ X0))) & ($true = (in @ X2 @ (powerset @ X1)))) & ($true = (in @ X0 @ (powerset @ X1)))) => (? [X2] : (($true = (subset @ sK558 @ (setminus @ sK559 @ X2))) & ($true != (subset @ X2 @ (setminus @ sK559 @ sK558))) & ($true = (in @ X2 @ (powerset @ sK559)))) & ($true = (in @ sK558 @ (powerset @ sK559))))),
% 0.15/0.59 introduced(choice_axiom,[])).
% 0.15/0.59 thf(f2118,plain,(
% 0.15/0.59 ? [X2] : (($true = (subset @ sK558 @ (setminus @ sK559 @ X2))) & ($true != (subset @ X2 @ (setminus @ sK559 @ sK558))) & ($true = (in @ X2 @ (powerset @ sK559)))) => (($true = (subset @ sK558 @ (setminus @ sK559 @ sK560))) & ($true != (subset @ sK560 @ (setminus @ sK559 @ sK558))) & ($true = (in @ sK560 @ (powerset @ sK559))))),
% 0.15/0.59 introduced(choice_axiom,[])).
% 0.15/0.59 thf(f2116,plain,(
% 0.15/0.59 ((complementTcontraSubset = $true) | ? [X0,X1] : (? [X2] : (($true = (subset @ X0 @ (setminus @ X1 @ X2))) & ($true != (subset @ X2 @ (setminus @ X1 @ X0))) & ($true = (in @ X2 @ (powerset @ X1)))) & ($true = (in @ X0 @ (powerset @ X1))))) & (! [X3,X4] : (! [X5] : (($true != (subset @ X3 @ (setminus @ X4 @ X5))) | ($true = (subset @ X5 @ (setminus @ X4 @ X3))) | ($true != (in @ X5 @ (powerset @ X4)))) | ((in @ X3 @ (powerset @ X4)) != $true)) | (complementTcontraSubset != $true))),
% 0.15/0.59 inference(rectify,[],[f2115])).
% 0.15/0.59 thf(f2115,plain,(
% 0.15/0.59 ((complementTcontraSubset = $true) | ? [X0,X1] : (? [X2] : (($true = (subset @ X0 @ (setminus @ X1 @ X2))) & ($true != (subset @ X2 @ (setminus @ X1 @ X0))) & ($true = (in @ X2 @ (powerset @ X1)))) & ($true = (in @ X0 @ (powerset @ X1))))) & (! [X0,X1] : (! [X2] : (($true != (subset @ X0 @ (setminus @ X1 @ X2))) | ($true = (subset @ X2 @ (setminus @ X1 @ X0))) | ($true != (in @ X2 @ (powerset @ X1)))) | ($true != (in @ X0 @ (powerset @ X1)))) | (complementTcontraSubset != $true))),
% 0.15/0.59 inference(nnf_transformation,[],[f1059])).
% 0.15/0.59 thf(f1059,plain,(
% 0.15/0.59 (complementTcontraSubset = $true) <=> ! [X0,X1] : (! [X2] : (($true != (subset @ X0 @ (setminus @ X1 @ X2))) | ($true = (subset @ X2 @ (setminus @ X1 @ X0))) | ($true != (in @ X2 @ (powerset @ X1)))) | ($true != (in @ X0 @ (powerset @ X1))))),
% 0.15/0.59 inference(flattening,[],[f1058])).
% 0.15/0.59 thf(f1058,plain,(
% 0.15/0.59 ! [X0,X1] : (! [X2] : ((($true = (subset @ X2 @ (setminus @ X1 @ X0))) | ($true != (subset @ X0 @ (setminus @ X1 @ X2)))) | ($true != (in @ X2 @ (powerset @ X1)))) | ($true != (in @ X0 @ (powerset @ X1)))) <=> (complementTcontraSubset = $true)),
% 0.15/0.59 inference(ennf_transformation,[],[f688])).
% 0.15/0.59 thf(f688,plain,(
% 0.15/0.59 ! [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) => ! [X2] : (($true = (in @ X2 @ (powerset @ X1))) => (($true = (subset @ X0 @ (setminus @ X1 @ X2))) => ($true = (subset @ X2 @ (setminus @ X1 @ X0)))))) <=> (complementTcontraSubset = $true)),
% 0.15/0.59 inference(fool_elimination,[],[f687])).
% 0.15/0.59 thf(f687,plain,(
% 0.15/0.59 (complementTcontraSubset = ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => ((subset @ X0 @ (setminus @ X1 @ X2)) => (subset @ X2 @ (setminus @ X1 @ X0))))))),
% 0.15/0.59 inference(rectify,[],[f258])).
% 0.15/0.59 thf(f258,axiom,(
% 0.15/0.59 (complementTcontraSubset = ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ((subset @ X11 @ (setminus @ X3 @ X16)) => (subset @ X16 @ (setminus @ X3 @ X11))))))),
% 0.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',complementTcontraSubset)).
% 0.15/0.59 thf(f2967,plain,(
% 0.15/0.59 ((subset @ sK110 @ (setminus @ sK108 @ sK109)) != $true)),
% 0.15/0.59 inference(cnf_transformation,[],[f1411])).
% 0.15/0.59 % SZS output end Proof for theBenchmark
% 0.15/0.59 % (14965)------------------------------
% 0.15/0.59 % (14965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.59 % (14965)Termination reason: Refutation
% 0.15/0.59
% 0.15/0.59 % (14965)Memory used [KB]: 10746
% 0.15/0.59 % (14965)Time elapsed: 0.185 s
% 0.15/0.59 % (14965)Instructions burned: 372 (million)
% 0.15/0.59 % (14965)------------------------------
% 0.15/0.59 % (14965)------------------------------
% 0.15/0.59 % (14942)Success in time 0.28 s
% 0.15/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------