TSTP Solution File: SYO858^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO858^1 : TPTP v8.2.0. Released v7.5.0.
% 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 : n012.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 09:09:08 EDT 2024
% Result : Theorem 13.52s 2.10s
% Output : Refutation 13.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO858^1 : TPTP v8.2.0. Released v7.5.0.
% 0.00/0.10 % 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
% 0.09/0.30 % Computer : n012.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon May 20 09:43:22 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 This is a TH0_THM_EQU_NAR problem
% 0.09/0.31 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
% 0.15/0.33 % (15909)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)
% 0.15/0.33 % (15910)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)
% 0.15/0.33 % (15912)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)
% 0.15/0.33 % (15908)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.33 % (15911)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.33 % (15914)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.33 % (15913)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)
% 0.15/0.33 % (15915)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)
% 0.15/0.33 % (15911)Instruction limit reached!
% 0.15/0.33 % (15911)------------------------------
% 0.15/0.33 % (15911)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (15911)Termination reason: Unknown
% 0.15/0.33 % (15911)Termination phase: shuffling
% 0.15/0.33 % (15912)Instruction limit reached!
% 0.15/0.33 % (15912)------------------------------
% 0.15/0.33 % (15912)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (15912)Termination reason: Unknown
% 0.15/0.33 % (15912)Termination phase: shuffling
% 0.15/0.33
% 0.15/0.33 % (15912)Memory used [KB]: 1279
% 0.15/0.33 % (15912)Time elapsed: 0.003 s
% 0.15/0.33 % (15912)Instructions burned: 4 (million)
% 0.15/0.33 % (15912)------------------------------
% 0.15/0.33 % (15912)------------------------------
% 0.15/0.33
% 0.15/0.33 % (15911)Memory used [KB]: 1279
% 0.15/0.33 % (15911)Time elapsed: 0.003 s
% 0.15/0.33 % (15911)Instructions burned: 3 (million)
% 0.15/0.33 % (15911)------------------------------
% 0.15/0.33 % (15911)------------------------------
% 0.15/0.33 % (15909)Instruction limit reached!
% 0.15/0.33 % (15909)------------------------------
% 0.15/0.33 % (15909)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (15915)Instruction limit reached!
% 0.15/0.33 % (15915)------------------------------
% 0.15/0.33 % (15915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (15909)Termination reason: Unknown
% 0.15/0.33 % (15909)Termination phase: shuffling
% 0.15/0.33
% 0.15/0.33 % (15909)Memory used [KB]: 1279
% 0.15/0.33 % (15909)Time elapsed: 0.004 s
% 0.15/0.33 % (15909)Instructions burned: 5 (million)
% 0.15/0.33 % (15909)------------------------------
% 0.15/0.33 % (15909)------------------------------
% 0.15/0.33 % (15915)Termination reason: Unknown
% 0.15/0.33 % (15915)Termination phase: shuffling
% 0.15/0.33
% 0.15/0.33 % (15915)Memory used [KB]: 1279
% 0.15/0.33 % (15915)Time elapsed: 0.003 s
% 0.15/0.33 % (15915)Instructions burned: 4 (million)
% 0.15/0.33 % (15915)------------------------------
% 0.15/0.33 % (15915)------------------------------
% 0.15/0.34 % (15914)Instruction limit reached!
% 0.15/0.34 % (15914)------------------------------
% 0.15/0.34 % (15914)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (15914)Termination reason: Unknown
% 0.15/0.34 % (15914)Termination phase: shuffling
% 0.15/0.34
% 0.15/0.34 % (15914)Memory used [KB]: 1535
% 0.15/0.34 % (15914)Time elapsed: 0.010 s
% 0.15/0.34 % (15914)Instructions burned: 19 (million)
% 0.15/0.34 % (15914)------------------------------
% 0.15/0.34 % (15914)------------------------------
% 0.15/0.34 % (15910)Instruction limit reached!
% 0.15/0.34 % (15910)------------------------------
% 0.15/0.34 % (15910)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (15910)Termination reason: Unknown
% 0.15/0.34 % (15910)Termination phase: Property scanning
% 0.15/0.34
% 0.15/0.34 % (15910)Memory used [KB]: 1535
% 0.15/0.34 % (15910)Time elapsed: 0.014 s
% 0.15/0.34 % (15910)Instructions burned: 29 (million)
% 0.15/0.34 % (15910)------------------------------
% 0.15/0.34 % (15910)------------------------------
% 0.15/0.35 % (15916)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)
% 0.15/0.35 % (15917)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)
% 0.15/0.35 % (15918)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)
% 0.15/0.35 % (15919)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)
% 0.15/0.35 % (15918)Instruction limit reached!
% 0.15/0.35 % (15918)------------------------------
% 0.15/0.35 % (15918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (15918)Termination reason: Unknown
% 0.15/0.35 % (15918)Termination phase: shuffling
% 0.15/0.35
% 0.15/0.35 % (15918)Memory used [KB]: 1279
% 0.15/0.35 % (15918)Time elapsed: 0.003 s
% 0.15/0.35 % (15918)Instructions burned: 4 (million)
% 0.15/0.35 % (15918)------------------------------
% 0.15/0.35 % (15918)------------------------------
% 0.15/0.35 % (15917)Instruction limit reached!
% 0.15/0.35 % (15917)------------------------------
% 0.15/0.35 % (15917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (15917)Termination reason: Unknown
% 0.15/0.35 % (15917)Termination phase: shuffling
% 0.15/0.35
% 0.15/0.35 % (15917)Memory used [KB]: 1535
% 0.15/0.35 % (15917)Time elapsed: 0.008 s
% 0.15/0.35 % (15917)Instructions burned: 15 (million)
% 0.15/0.35 % (15917)------------------------------
% 0.15/0.35 % (15917)------------------------------
% 0.15/0.35 % (15920)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.36 % (15920)Instruction limit reached!
% 0.15/0.36 % (15920)------------------------------
% 0.15/0.36 % (15920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (15921)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.36 % (15920)Termination reason: Unknown
% 0.15/0.36 % (15920)Termination phase: shuffling
% 0.15/0.36
% 0.15/0.36 % (15920)Memory used [KB]: 1279
% 0.15/0.36 % (15920)Time elapsed: 0.005 s
% 0.15/0.36 % (15920)Instructions burned: 8 (million)
% 0.15/0.36 % (15920)------------------------------
% 0.15/0.36 % (15920)------------------------------
% 0.15/0.36 % (15922)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)
% 0.15/0.36 % (15916)Instruction limit reached!
% 0.15/0.36 % (15916)------------------------------
% 0.15/0.36 % (15916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (15916)Termination reason: Unknown
% 0.15/0.36 % (15916)Termination phase: Property scanning
% 0.15/0.36
% 0.15/0.36 % (15916)Memory used [KB]: 1535
% 0.15/0.36 % (15916)Time elapsed: 0.017 s
% 0.15/0.36 % (15916)Instructions burned: 37 (million)
% 0.15/0.36 % (15916)------------------------------
% 0.15/0.36 % (15916)------------------------------
% 0.15/0.36 % (15922)Instruction limit reached!
% 0.15/0.36 % (15922)------------------------------
% 0.15/0.36 % (15922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (15922)Termination reason: Unknown
% 0.15/0.36 % (15922)Termination phase: shuffling
% 0.15/0.36
% 0.15/0.36 % (15922)Memory used [KB]: 1279
% 0.15/0.36 % (15922)Time elapsed: 0.003 s
% 0.15/0.36 % (15922)Instructions burned: 4 (million)
% 0.15/0.36 % (15922)------------------------------
% 0.15/0.36 % (15922)------------------------------
% 0.15/0.36 % (15921)Instruction limit reached!
% 0.15/0.36 % (15921)------------------------------
% 0.15/0.36 % (15921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (15921)Termination reason: Unknown
% 0.15/0.36 % (15921)Termination phase: shuffling
% 0.15/0.36
% 0.15/0.36 % (15921)Memory used [KB]: 1535
% 0.15/0.36 % (15921)Time elapsed: 0.009 s
% 0.15/0.36 % (15921)Instructions burned: 18 (million)
% 0.15/0.36 % (15921)------------------------------
% 0.15/0.36 % (15921)------------------------------
% 0.15/0.37 % (15923)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)
% 0.15/0.37 % (15923)Instruction limit reached!
% 0.15/0.37 % (15923)------------------------------
% 0.15/0.37 % (15923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (15923)Termination reason: Unknown
% 0.15/0.37 % (15923)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (15923)Memory used [KB]: 1279
% 0.15/0.37 % (15923)Time elapsed: 0.003 s
% 0.15/0.37 % (15923)Instructions burned: 4 (million)
% 0.15/0.37 % (15923)------------------------------
% 0.15/0.37 % (15923)------------------------------
% 0.15/0.37 % (15924)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)
% 0.15/0.37 % (15924)Instruction limit reached!
% 0.15/0.37 % (15924)------------------------------
% 0.15/0.37 % (15924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (15924)Termination reason: Unknown
% 0.15/0.37 % (15924)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (15924)Memory used [KB]: 1279
% 0.15/0.37 % (15924)Time elapsed: 0.005 s
% 0.15/0.37 % (15924)Instructions burned: 9 (million)
% 0.15/0.37 % (15924)------------------------------
% 0.15/0.37 % (15924)------------------------------
% 0.15/0.37 % (15925)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)
% 0.15/0.38 % (15926)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.38 % (15925)Instruction limit reached!
% 0.15/0.38 % (15925)------------------------------
% 0.15/0.38 % (15925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (15925)Termination reason: Unknown
% 0.15/0.38 % (15925)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (15925)Memory used [KB]: 1279
% 0.15/0.38 % (15925)Time elapsed: 0.003 s
% 0.15/0.38 % (15925)Instructions burned: 4 (million)
% 0.15/0.38 % (15925)------------------------------
% 0.15/0.38 % (15925)------------------------------
% 0.15/0.38 % (15926)Instruction limit reached!
% 0.15/0.38 % (15926)------------------------------
% 0.15/0.38 % (15926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (15927)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)
% 0.15/0.38 % (15926)Termination reason: Unknown
% 0.15/0.38 % (15926)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (15926)Memory used [KB]: 1279
% 0.15/0.38 % (15926)Time elapsed: 0.003 s
% 0.15/0.38 % (15926)Instructions burned: 4 (million)
% 0.15/0.38 % (15926)------------------------------
% 0.15/0.38 % (15926)------------------------------
% 0.15/0.38 % (15928)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.15/0.38 % (15927)Instruction limit reached!
% 0.15/0.38 % (15927)------------------------------
% 0.15/0.38 % (15927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (15927)Termination reason: Unknown
% 0.15/0.38 % (15927)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (15927)Memory used [KB]: 1535
% 0.15/0.38 % (15927)Time elapsed: 0.009 s
% 0.15/0.38 % (15927)Instructions burned: 18 (million)
% 0.15/0.38 % (15927)------------------------------
% 0.15/0.38 % (15927)------------------------------
% 0.15/0.39 % (15929)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.39 % (15929)Instruction limit reached!
% 0.15/0.39 % (15929)------------------------------
% 0.15/0.39 % (15929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (15929)Termination reason: Unknown
% 0.15/0.39 % (15929)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (15929)Memory used [KB]: 1279
% 0.15/0.39 % (15929)Time elapsed: 0.004 s
% 0.15/0.39 % (15929)Instructions burned: 6 (million)
% 0.15/0.39 % (15929)------------------------------
% 0.15/0.39 % (15929)------------------------------
% 0.15/0.39 % (15930)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)
% 0.15/0.39 % (15931)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)
% 0.15/0.40 % (15932)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.15/0.40 % (15908)Instruction limit reached!
% 0.15/0.40 % (15908)------------------------------
% 0.15/0.40 % (15908)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (15908)Termination reason: Unknown
% 0.15/0.40 % (15908)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (15908)Memory used [KB]: 6524
% 0.15/0.40 % (15908)Time elapsed: 0.069 s
% 0.15/0.40 % (15908)Instructions burned: 185 (million)
% 0.15/0.40 % (15908)------------------------------
% 0.15/0.40 % (15908)------------------------------
% 0.15/0.40 % (15931)Instruction limit reached!
% 0.15/0.40 % (15931)------------------------------
% 0.15/0.40 % (15931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (15931)Termination reason: Unknown
% 0.15/0.40 % (15931)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (15931)Memory used [KB]: 1535
% 0.15/0.40 % (15931)Time elapsed: 0.011 s
% 0.15/0.40 % (15931)Instructions burned: 22 (million)
% 0.15/0.40 % (15931)------------------------------
% 0.15/0.40 % (15931)------------------------------
% 0.15/0.40 % (15932)Instruction limit reached!
% 0.15/0.40 % (15932)------------------------------
% 0.15/0.40 % (15932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (15932)Termination reason: Unknown
% 0.15/0.40 % (15932)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (15932)Memory used [KB]: 1279
% 0.15/0.40 % (15932)Time elapsed: 0.004 s
% 0.15/0.40 % (15932)Instructions burned: 7 (million)
% 0.15/0.40 % (15932)------------------------------
% 0.15/0.40 % (15932)------------------------------
% 0.15/0.40 % (15933)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)
% 0.15/0.40 % (15933)Instruction limit reached!
% 0.15/0.40 % (15933)------------------------------
% 0.15/0.40 % (15933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (15933)Termination reason: Unknown
% 0.15/0.40 % (15933)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (15933)Memory used [KB]: 1279
% 0.15/0.40 % (15933)Time elapsed: 0.004 s
% 0.15/0.40 % (15933)Instructions burned: 6 (million)
% 0.15/0.40 % (15933)------------------------------
% 0.15/0.40 % (15933)------------------------------
% 0.15/0.41 % (15934)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.15/0.41 % (15935)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)
% 0.15/0.41 % (15936)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)
% 0.15/0.42 % (15937)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.15/0.42 % (15936)Instruction limit reached!
% 0.15/0.42 % (15936)------------------------------
% 0.15/0.42 % (15936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (15936)Termination reason: Unknown
% 0.15/0.42 % (15936)Termination phase: Property scanning
% 0.15/0.42
% 0.15/0.42 % (15936)Memory used [KB]: 1535
% 0.15/0.42 % (15936)Time elapsed: 0.010 s
% 0.15/0.42 % (15936)Instructions burned: 20 (million)
% 0.15/0.42 % (15936)------------------------------
% 0.15/0.42 % (15936)------------------------------
% 0.15/0.43 % (15938)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.15/0.44 % (15938)Instruction limit reached!
% 0.15/0.44 % (15938)------------------------------
% 0.15/0.44 % (15938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.44 % (15938)Termination reason: Unknown
% 0.15/0.44 % (15938)Termination phase: shuffling
% 0.15/0.44
% 0.15/0.44 % (15938)Memory used [KB]: 1535
% 0.15/0.44 % (15938)Time elapsed: 0.010 s
% 0.15/0.44 % (15938)Instructions burned: 19 (million)
% 0.15/0.44 % (15938)------------------------------
% 0.15/0.44 % (15938)------------------------------
% 0.15/0.46 % (15939)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.15/0.46 % (15939)Instruction limit reached!
% 0.15/0.46 % (15939)------------------------------
% 0.15/0.46 % (15939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.46 % (15939)Termination reason: Unknown
% 0.15/0.46 % (15939)Termination phase: shuffling
% 0.15/0.46
% 0.15/0.46 % (15939)Memory used [KB]: 1279
% 0.15/0.46 % (15939)Time elapsed: 0.003 s
% 0.15/0.46 % (15939)Instructions burned: 4 (million)
% 0.15/0.46 % (15939)------------------------------
% 0.15/0.46 % (15939)------------------------------
% 0.15/0.46 % (15913)Instruction limit reached!
% 0.15/0.46 % (15913)------------------------------
% 0.15/0.46 % (15913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.46 % (15913)Termination reason: Unknown
% 0.15/0.46 % (15913)Termination phase: Saturation
% 0.15/0.46
% 0.15/0.46 % (15913)Memory used [KB]: 6524
% 0.15/0.46 % (15913)Time elapsed: 0.129 s
% 0.15/0.46 % (15913)Instructions burned: 276 (million)
% 0.15/0.46 % (15913)------------------------------
% 0.15/0.46 % (15913)------------------------------
% 0.15/0.47 % (15940)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.15/0.47 % (15941)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)
% 0.15/0.48 % (15940)Instruction limit reached!
% 0.15/0.48 % (15940)------------------------------
% 0.15/0.48 % (15940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.48 % (15940)Termination reason: Unknown
% 0.15/0.48 % (15940)Termination phase: Preprocessing 3
% 0.15/0.48
% 0.15/0.48 % (15940)Memory used [KB]: 1663
% 0.15/0.48 % (15940)Time elapsed: 0.015 s
% 0.15/0.48 % (15940)Instructions burned: 32 (million)
% 0.15/0.48 % (15940)------------------------------
% 0.15/0.48 % (15940)------------------------------
% 0.15/0.50 % (15942)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)
% 0.15/0.52 % (15941)Instruction limit reached!
% 0.15/0.52 % (15941)------------------------------
% 0.15/0.52 % (15941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.52 % (15941)Termination reason: Unknown
% 0.15/0.52 % (15941)Termination phase: Saturation
% 0.15/0.52
% 0.15/0.52 % (15941)Memory used [KB]: 6396
% 0.15/0.52 % (15941)Time elapsed: 0.050 s
% 0.15/0.52 % (15941)Instructions burned: 128 (million)
% 0.15/0.52 % (15941)------------------------------
% 0.15/0.52 % (15941)------------------------------
% 0.15/0.53 % (15943)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)
% 0.15/0.54 % (15942)Instruction limit reached!
% 0.15/0.54 % (15942)------------------------------
% 0.15/0.54 % (15942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.54 % (15942)Termination reason: Unknown
% 0.15/0.54 % (15942)Termination phase: Property scanning
% 0.15/0.54
% 0.15/0.54 % (15942)Memory used [KB]: 1918
% 0.15/0.54 % (15942)Time elapsed: 0.039 s
% 0.15/0.54 % (15942)Instructions burned: 100 (million)
% 0.15/0.54 % (15942)------------------------------
% 0.15/0.54 % (15942)------------------------------
% 0.15/0.54 % (15943)Instruction limit reached!
% 0.15/0.54 % (15943)------------------------------
% 0.15/0.54 % (15943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.54 % (15943)Termination reason: Unknown
% 0.15/0.54 % (15943)Termination phase: shuffling
% 0.15/0.54
% 0.15/0.54 % (15943)Memory used [KB]: 1279
% 0.15/0.54 % (15943)Time elapsed: 0.003 s
% 0.15/0.54 % (15943)Instructions burned: 3 (million)
% 0.15/0.54 % (15943)------------------------------
% 0.15/0.54 % (15943)------------------------------
% 0.15/0.55 % (15945)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)
% 0.15/0.55 % (15946)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)
% 0.15/0.56 % (15945)Instruction limit reached!
% 0.15/0.56 % (15945)------------------------------
% 0.15/0.56 % (15945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.56 % (15945)Termination reason: Unknown
% 0.15/0.56 % (15945)Termination phase: Property scanning
% 0.15/0.56
% 0.15/0.56 % (15945)Memory used [KB]: 1535
% 0.15/0.56 % (15945)Time elapsed: 0.010 s
% 0.15/0.56 % (15945)Instructions burned: 20 (million)
% 0.15/0.56 % (15945)------------------------------
% 0.15/0.56 % (15945)------------------------------
% 0.15/0.56 % (15934)Instruction limit reached!
% 0.15/0.56 % (15934)------------------------------
% 0.15/0.56 % (15934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.56 % (15934)Termination reason: Unknown
% 0.15/0.56 % (15934)Termination phase: Saturation
% 0.15/0.56
% 0.15/0.56 % (15934)Memory used [KB]: 6780
% 0.15/0.56 % (15934)Time elapsed: 0.173 s
% 0.15/0.56 % (15934)Instructions burned: 379 (million)
% 0.15/0.56 % (15934)------------------------------
% 0.15/0.56 % (15934)------------------------------
% 0.15/0.57 % (15947)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)
% 0.15/0.57 % (15948)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 (2997ds/39Mi)
% 2.16/0.59 % (15948)Instruction limit reached!
% 2.16/0.59 % (15948)------------------------------
% 2.16/0.59 % (15948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.59 % (15948)Termination reason: Unknown
% 2.16/0.59 % (15948)Termination phase: Function definition elimination
% 2.16/0.59
% 2.16/0.59 % (15948)Memory used [KB]: 1535
% 2.16/0.59 % (15948)Time elapsed: 0.019 s
% 2.16/0.59 % (15948)Instructions burned: 41 (million)
% 2.16/0.59 % (15948)------------------------------
% 2.16/0.59 % (15948)------------------------------
% 2.16/0.60 % (15946)Instruction limit reached!
% 2.16/0.60 % (15946)------------------------------
% 2.16/0.60 % (15946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.60 % (15946)Termination reason: Unknown
% 2.16/0.60 % (15946)Termination phase: Property scanning
% 2.16/0.60
% 2.16/0.60 % (15946)Memory used [KB]: 1918
% 2.16/0.60 % (15946)Time elapsed: 0.037 s
% 2.16/0.60 % (15946)Instructions burned: 87 (million)
% 2.16/0.60 % (15946)------------------------------
% 2.16/0.60 % (15946)------------------------------
% 2.33/0.60 % (15949)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 (2997ds/448Mi)
% 2.33/0.61 % (15950)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 (2997ds/46Mi)
% 2.33/0.61 % (15947)Instruction limit reached!
% 2.33/0.61 % (15947)------------------------------
% 2.33/0.61 % (15947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.33/0.61 % (15947)Termination reason: Unknown
% 2.33/0.61 % (15947)Termination phase: Saturation
% 2.33/0.61
% 2.33/0.61 % (15947)Memory used [KB]: 6396
% 2.33/0.61 % (15947)Time elapsed: 0.043 s
% 2.33/0.61 % (15947)Instructions burned: 109 (million)
% 2.33/0.61 % (15947)------------------------------
% 2.33/0.61 % (15947)------------------------------
% 2.33/0.62 % (15951)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 2.33/0.63 % (15950)Instruction limit reached!
% 2.33/0.63 % (15950)------------------------------
% 2.33/0.63 % (15950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.33/0.63 % (15950)Termination reason: Unknown
% 2.33/0.63 % (15950)Termination phase: Function definition elimination
% 2.33/0.63
% 2.33/0.63 % (15950)Memory used [KB]: 1663
% 2.33/0.63 % (15950)Time elapsed: 0.022 s
% 2.33/0.63 % (15950)Instructions burned: 46 (million)
% 2.33/0.63 % (15950)------------------------------
% 2.33/0.63 % (15950)------------------------------
% 2.49/0.64 % (15952)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2996ds/507Mi)
% 2.49/0.66 % (15951)Instruction limit reached!
% 2.49/0.66 % (15951)------------------------------
% 2.49/0.66 % (15951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.49/0.66 % (15951)Termination reason: Unknown
% 2.49/0.66 % (15951)Termination phase: Property scanning
% 2.49/0.66
% 2.49/0.66 % (15951)Memory used [KB]: 1791
% 2.49/0.66 % (15951)Time elapsed: 0.038 s
% 2.49/0.66 % (15951)Instructions burned: 99 (million)
% 2.49/0.66 % (15951)------------------------------
% 2.49/0.66 % (15951)------------------------------
% 2.49/0.67 % (15953)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 2.49/0.70 % (15928)Instruction limit reached!
% 2.49/0.70 % (15928)------------------------------
% 2.49/0.70 % (15928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.49/0.70 % (15928)Termination reason: Unknown
% 2.49/0.70 % (15928)Termination phase: Saturation
% 2.49/0.70
% 2.49/0.70 % (15928)Memory used [KB]: 7419
% 2.49/0.70 % (15928)Time elapsed: 0.323 s
% 2.49/0.70 % (15928)Instructions burned: 710 (million)
% 2.49/0.70 % (15928)------------------------------
% 2.49/0.70 % (15928)------------------------------
% 2.49/0.72 % (15954)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.49/0.72 % (15919)Instruction limit reached!
% 2.49/0.72 % (15919)------------------------------
% 2.49/0.72 % (15919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.49/0.72 % (15919)Termination reason: Unknown
% 2.49/0.72 % (15919)Termination phase: Saturation
% 2.49/0.72
% 2.49/0.72 % (15919)Memory used [KB]: 7291
% 2.49/0.72 % (15919)Time elapsed: 0.371 s
% 2.49/0.72 % (15919)Instructions burned: 1043 (million)
% 2.49/0.72 % (15919)------------------------------
% 2.49/0.72 % (15919)------------------------------
% 3.03/0.73 % (15955)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.03/0.73 % (15955)Instruction limit reached!
% 3.03/0.73 % (15955)------------------------------
% 3.03/0.73 % (15955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.03/0.73 % (15955)Termination reason: Unknown
% 3.03/0.73 % (15955)Termination phase: shuffling
% 3.03/0.73
% 3.03/0.73 % (15955)Memory used [KB]: 1279
% 3.03/0.73 % (15955)Time elapsed: 0.004 s
% 3.03/0.73 % (15955)Instructions burned: 6 (million)
% 3.03/0.73 % (15955)------------------------------
% 3.03/0.73 % (15955)------------------------------
% 3.03/0.73 % (15954)Instruction limit reached!
% 3.03/0.73 % (15954)------------------------------
% 3.03/0.73 % (15954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.03/0.73 % (15954)Termination reason: Unknown
% 3.03/0.73 % (15954)Termination phase: Property scanning
% 3.03/0.73
% 3.03/0.73 % (15954)Memory used [KB]: 1663
% 3.03/0.73 % (15954)Time elapsed: 0.019 s
% 3.03/0.73 % (15954)Instructions burned: 40 (million)
% 3.03/0.73 % (15954)------------------------------
% 3.03/0.73 % (15954)------------------------------
% 3.03/0.74 % (15953)Instruction limit reached!
% 3.03/0.74 % (15953)------------------------------
% 3.03/0.74 % (15953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.03/0.74 % (15953)Termination reason: Unknown
% 3.03/0.74 % (15953)Termination phase: Saturation
% 3.03/0.74
% 3.03/0.74 % (15953)Memory used [KB]: 6652
% 3.03/0.74 % (15953)Time elapsed: 0.066 s
% 3.03/0.74 % (15953)Instructions burned: 149 (million)
% 3.03/0.74 % (15953)------------------------------
% 3.03/0.74 % (15953)------------------------------
% 3.03/0.74 % (15956)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2995ds/1087Mi)
% 3.03/0.75 % (15957)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2995ds/47Mi)
% 3.03/0.75 % (15958)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2995ds/44Mi)
% 3.03/0.76 % (15935)Instruction limit reached!
% 3.03/0.76 % (15935)------------------------------
% 3.03/0.76 % (15935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.03/0.76 % (15935)Termination reason: Unknown
% 3.03/0.76 % (15935)Termination phase: Saturation
% 3.03/0.76
% 3.03/0.76 % (15935)Memory used [KB]: 7931
% 3.03/0.76 % (15935)Time elapsed: 0.374 s
% 3.03/0.76 % (15935)Instructions burned: 779 (million)
% 3.03/0.76 % (15935)------------------------------
% 3.03/0.76 % (15935)------------------------------
% 3.03/0.76 % (15957)Instruction limit reached!
% 3.03/0.76 % (15957)------------------------------
% 3.03/0.76 % (15957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.03/0.77 % (15957)Termination reason: Unknown
% 3.03/0.77 % (15957)Termination phase: Function definition elimination
% 3.03/0.77
% 3.03/0.77 % (15957)Memory used [KB]: 1663
% 3.03/0.77 % (15957)Time elapsed: 0.021 s
% 3.03/0.77 % (15957)Instructions burned: 47 (million)
% 3.03/0.77 % (15957)------------------------------
% 3.03/0.77 % (15957)------------------------------
% 3.03/0.77 % (15958)Instruction limit reached!
% 3.03/0.77 % (15958)------------------------------
% 3.03/0.77 % (15958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.03/0.77 % (15958)Termination reason: Unknown
% 3.03/0.77 % (15958)Termination phase: Saturation
% 3.03/0.77
% 3.03/0.77 % (15958)Memory used [KB]: 1663
% 3.03/0.77 % (15958)Time elapsed: 0.021 s
% 3.03/0.77 % (15958)Instructions burned: 45 (million)
% 3.03/0.77 % (15958)------------------------------
% 3.03/0.77 % (15958)------------------------------
% 3.03/0.77 % (15959)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2995ds/432Mi)
% 3.03/0.78 % (15960)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2995ds/62Mi)
% 3.03/0.78 % (15961)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2995ds/31Mi)
% 3.41/0.80 % (15930)Instruction limit reached!
% 3.41/0.80 % (15930)------------------------------
% 3.41/0.80 % (15930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.80 % (15930)Termination reason: Unknown
% 3.41/0.80 % (15930)Termination phase: Saturation
% 3.41/0.80
% 3.41/0.80 % (15930)Memory used [KB]: 6780
% 3.41/0.80 % (15930)Time elapsed: 0.429 s
% 3.41/0.80 % (15930)Instructions burned: 902 (million)
% 3.41/0.80 % (15930)------------------------------
% 3.41/0.80 % (15930)------------------------------
% 3.41/0.80 % (15961)Instruction limit reached!
% 3.41/0.80 % (15961)------------------------------
% 3.41/0.80 % (15961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.80 % (15961)Termination reason: Unknown
% 3.41/0.80 % (15961)Termination phase: Clausification
% 3.41/0.80
% 3.41/0.80 % (15961)Memory used [KB]: 1663
% 3.41/0.80 % (15961)Time elapsed: 0.016 s
% 3.41/0.80 % (15961)Instructions burned: 32 (million)
% 3.41/0.80 % (15961)------------------------------
% 3.41/0.80 % (15961)------------------------------
% 3.41/0.80 % (15960)Instruction limit reached!
% 3.41/0.80 % (15960)------------------------------
% 3.41/0.80 % (15960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.80 % (15960)Termination reason: Unknown
% 3.41/0.80 % (15960)Termination phase: Function definition elimination
% 3.41/0.80
% 3.41/0.80 % (15960)Memory used [KB]: 1791
% 3.41/0.80 % (15960)Time elapsed: 0.025 s
% 3.41/0.80 % (15960)Instructions burned: 64 (million)
% 3.41/0.80 % (15960)------------------------------
% 3.41/0.80 % (15960)------------------------------
% 3.41/0.81 % (15937)Refutation not found, non-redundant clauses discarded% (15937)------------------------------
% 3.41/0.81 % (15937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.81 % (15937)Termination reason: Refutation not found, non-redundant clauses discarded
% 3.41/0.81
% 3.41/0.81 % (15937)Memory used [KB]: 7291
% 3.41/0.81 % (15937)Time elapsed: 0.414 s
% 3.41/0.81 % (15937)Instructions burned: 856 (million)
% 3.41/0.81 % (15937)------------------------------
% 3.41/0.81 % (15937)------------------------------
% 3.41/0.81 % (15963)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 3.41/0.81 % (15964)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2995ds/453Mi)
% 3.41/0.81 % (15965)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2995ds/71Mi)
% 3.41/0.82 % (15949)Instruction limit reached!
% 3.41/0.82 % (15949)------------------------------
% 3.41/0.82 % (15949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.82 % (15949)Termination reason: Unknown
% 3.41/0.82 % (15949)Termination phase: Saturation
% 3.41/0.82
% 3.41/0.82 % (15949)Memory used [KB]: 7547
% 3.41/0.82 % (15949)Time elapsed: 0.214 s
% 3.41/0.82 % (15949)Instructions burned: 449 (million)
% 3.41/0.82 % (15949)------------------------------
% 3.41/0.82 % (15949)------------------------------
% 3.41/0.82 % (15966)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 3.41/0.83 % (15967)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 3.41/0.84 % (15967)Instruction limit reached!
% 3.41/0.84 % (15967)------------------------------
% 3.41/0.84 % (15967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.84 % (15967)Termination reason: Unknown
% 3.41/0.84 % (15967)Termination phase: shuffling
% 3.41/0.84
% 3.41/0.84 % (15967)Memory used [KB]: 1407
% 3.41/0.84 % (15967)Time elapsed: 0.007 s
% 3.41/0.84 % (15967)Instructions burned: 12 (million)
% 3.41/0.84 % (15967)------------------------------
% 3.41/0.84 % (15967)------------------------------
% 3.41/0.84 % (15952)Instruction limit reached!
% 3.41/0.84 % (15952)------------------------------
% 3.41/0.84 % (15952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.84 % (15952)Termination reason: Unknown
% 3.41/0.84 % (15952)Termination phase: Saturation
% 3.41/0.84
% 3.41/0.84 % (15952)Memory used [KB]: 6908
% 3.41/0.84 % (15952)Time elapsed: 0.196 s
% 3.41/0.84 % (15952)Instructions burned: 509 (million)
% 3.41/0.84 % (15952)------------------------------
% 3.41/0.84 % (15952)------------------------------
% 3.41/0.84 % (15965)Instruction limit reached!
% 3.41/0.84 % (15965)------------------------------
% 3.41/0.84 % (15965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.84 % (15965)Termination reason: Unknown
% 3.41/0.84 % (15965)Termination phase: Function definition elimination
% 3.41/0.84
% 3.41/0.84 % (15965)Memory used [KB]: 1918
% 3.41/0.84 % (15965)Time elapsed: 0.028 s
% 3.41/0.84 % (15965)Instructions burned: 73 (million)
% 3.41/0.84 % (15965)------------------------------
% 3.41/0.84 % (15965)------------------------------
% 3.41/0.85 % (15963)Instruction limit reached!
% 3.41/0.85 % (15963)------------------------------
% 3.41/0.85 % (15963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.85 % (15963)Termination reason: Unknown
% 3.41/0.85 % (15963)Termination phase: Property scanning
% 3.41/0.85
% 3.41/0.85 % (15963)Memory used [KB]: 1918
% 3.41/0.85 % (15963)Time elapsed: 0.038 s
% 3.41/0.85 % (15963)Instructions burned: 97 (million)
% 3.41/0.85 % (15963)------------------------------
% 3.41/0.85 % (15963)------------------------------
% 3.41/0.85 % (15968)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2994ds/41Mi)
% 3.41/0.85 % (15969)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2994ds/6Mi)
% 3.41/0.85 % (15970)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2994ds/150Mi)
% 3.41/0.85 % (15969)Instruction limit reached!
% 3.41/0.85 % (15969)------------------------------
% 3.41/0.85 % (15969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.85 % (15969)Termination reason: Unknown
% 3.41/0.85 % (15969)Termination phase: shuffling
% 3.41/0.85
% 3.41/0.85 % (15969)Memory used [KB]: 1279
% 3.41/0.85 % (15969)Time elapsed: 0.004 s
% 3.41/0.85 % (15969)Instructions burned: 6 (million)
% 3.41/0.85 % (15969)------------------------------
% 3.41/0.85 % (15969)------------------------------
% 3.41/0.86 % (15971)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2994ds/343Mi)
% 3.41/0.86 % (15966)Instruction limit reached!
% 3.41/0.86 % (15966)------------------------------
% 3.41/0.86 % (15966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.41/0.86 % (15966)Termination reason: Unknown
% 3.41/0.86 % (15966)Termination phase: Saturation
% 3.41/0.86
% 3.41/0.86 % (15966)Memory used [KB]: 6396
% 3.41/0.86 % (15966)Time elapsed: 0.040 s
% 3.41/0.86 % (15966)Instructions burned: 83 (million)
% 3.41/0.86 % (15966)------------------------------
% 3.41/0.86 % (15966)------------------------------
% 4.11/0.87 % (15968)Instruction limit reached!
% 4.11/0.87 % (15968)------------------------------
% 4.11/0.87 % (15968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.11/0.87 % (15968)Termination reason: Unknown
% 4.11/0.87 % (15968)Termination phase: Function definition elimination
% 4.11/0.87
% 4.11/0.87 % (15968)Memory used [KB]: 1663
% 4.11/0.87 % (15968)Time elapsed: 0.019 s
% 4.11/0.87 % (15968)Instructions burned: 42 (million)
% 4.11/0.87 % (15968)------------------------------
% 4.11/0.87 % (15968)------------------------------
% 4.11/0.87 % (15972)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2994ds/109Mi)
% 4.11/0.87 % (15973)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2994ds/253Mi)
% 4.11/0.88 % (15974)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2994ds/140Mi)
% 4.13/0.91 % (15972)Instruction limit reached!
% 4.13/0.91 % (15972)------------------------------
% 4.13/0.91 % (15972)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.13/0.91 % (15972)Termination reason: Unknown
% 4.13/0.91 % (15972)Termination phase: Property scanning
% 4.13/0.91
% 4.13/0.91 % (15972)Memory used [KB]: 1918
% 4.13/0.91 % (15972)Time elapsed: 0.043 s
% 4.13/0.91 % (15972)Instructions burned: 109 (million)
% 4.13/0.91 % (15972)------------------------------
% 4.13/0.91 % (15972)------------------------------
% 4.13/0.91 % (15970)Instruction limit reached!
% 4.13/0.91 % (15970)------------------------------
% 4.13/0.91 % (15970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.13/0.91 % (15970)Termination reason: Unknown
% 4.13/0.91 % (15970)Termination phase: Saturation
% 4.13/0.91
% 4.13/0.91 % (15970)Memory used [KB]: 6396
% 4.13/0.91 % (15970)Time elapsed: 0.057 s
% 4.13/0.91 % (15970)Instructions burned: 151 (million)
% 4.13/0.91 % (15970)------------------------------
% 4.13/0.91 % (15970)------------------------------
% 4.13/0.92 % (15976)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2994ds/614Mi)
% 4.13/0.92 % (15977)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2994ds/202Mi)
% 4.26/0.94 % (15959)Instruction limit reached!
% 4.26/0.94 % (15959)------------------------------
% 4.26/0.94 % (15959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.26/0.94 % (15959)Termination reason: Unknown
% 4.26/0.94 % (15959)Termination phase: Saturation
% 4.26/0.94
% 4.26/0.94 % (15959)Memory used [KB]: 3582
% 4.26/0.94 % (15959)Time elapsed: 0.171 s
% 4.26/0.94 % (15959)Instructions burned: 433 (million)
% 4.26/0.94 % (15959)------------------------------
% 4.26/0.94 % (15959)------------------------------
% 4.26/0.95 % (15974)Instruction limit reached!
% 4.26/0.95 % (15974)------------------------------
% 4.26/0.95 % (15974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.26/0.95 % (15974)Termination reason: Unknown
% 4.26/0.95 % (15974)Termination phase: Saturation
% 4.26/0.95
% 4.26/0.95 % (15974)Memory used [KB]: 6652
% 4.26/0.95 % (15974)Time elapsed: 0.068 s
% 4.26/0.95 % (15974)Instructions burned: 141 (million)
% 4.26/0.95 % (15974)------------------------------
% 4.26/0.95 % (15974)------------------------------
% 4.26/0.96 % (15978)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2993ds/339Mi)
% 4.26/0.96 % (15979)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=283:si=on:rtra=on_0 on theBenchmark for (2993ds/283Mi)
% 4.26/0.97 % (15964)Instruction limit reached!
% 4.26/0.97 % (15964)------------------------------
% 4.26/0.97 % (15964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.26/0.97 % (15964)Termination reason: Unknown
% 4.26/0.97 % (15964)Termination phase: Saturation
% 4.26/0.97
% 4.26/0.97 % (15964)Memory used [KB]: 6524
% 4.26/0.97 % (15964)Time elapsed: 0.163 s
% 4.26/0.97 % (15964)Instructions burned: 454 (million)
% 4.26/0.97 % (15964)------------------------------
% 4.26/0.97 % (15964)------------------------------
% 4.26/0.99 % (15980)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2993ds/134Mi)
% 4.26/0.99 % (15973)Instruction limit reached!
% 4.26/0.99 % (15973)------------------------------
% 4.26/0.99 % (15973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.26/0.99 % (15973)Termination reason: Unknown
% 4.26/0.99 % (15973)Termination phase: Saturation
% 4.26/0.99
% 4.26/0.99 % (15973)Memory used [KB]: 6524
% 4.26/0.99 % (15973)Time elapsed: 0.120 s
% 4.26/0.99 % (15973)Instructions burned: 254 (million)
% 4.26/0.99 % (15973)------------------------------
% 4.26/0.99 % (15973)------------------------------
% 4.26/1.00 % (15981)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2993ds/298Mi)
% 4.26/1.01 % (15971)Instruction limit reached!
% 4.26/1.01 % (15971)------------------------------
% 4.26/1.01 % (15971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.26/1.01 % (15971)Termination reason: Unknown
% 4.26/1.01 % (15971)Termination phase: Saturation
% 4.26/1.01
% 4.26/1.01 % (15971)Memory used [KB]: 6652
% 4.26/1.01 % (15971)Time elapsed: 0.158 s
% 4.26/1.01 % (15971)Instructions burned: 343 (million)
% 4.26/1.01 % (15971)------------------------------
% 4.26/1.01 % (15971)------------------------------
% 4.26/1.02 % (15977)Instruction limit reached!
% 4.26/1.02 % (15977)------------------------------
% 4.26/1.02 % (15977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.26/1.02 % (15977)Termination reason: Unknown
% 4.26/1.02 % (15977)Termination phase: Saturation
% 4.26/1.02
% 4.26/1.02 % (15977)Memory used [KB]: 6652
% 4.26/1.02 % (15977)Time elapsed: 0.097 s
% 4.26/1.02 % (15977)Instructions burned: 203 (million)
% 4.26/1.02 % (15977)------------------------------
% 4.26/1.02 % (15977)------------------------------
% 5.10/1.03 % (15982)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2992ds/192Mi)
% 5.10/1.03 % (15983)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2992ds/258Mi)
% 5.10/1.04 % (15980)Instruction limit reached!
% 5.10/1.04 % (15980)------------------------------
% 5.10/1.04 % (15980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.10/1.04 % (15980)Termination reason: Unknown
% 5.10/1.04 % (15980)Termination phase: Saturation
% 5.10/1.04
% 5.10/1.04 % (15980)Memory used [KB]: 6396
% 5.10/1.04 % (15980)Time elapsed: 0.052 s
% 5.10/1.04 % (15980)Instructions burned: 135 (million)
% 5.10/1.04 % (15980)------------------------------
% 5.10/1.04 % (15980)------------------------------
% 5.10/1.05 % (15984)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2992ds/90Mi)
% 5.10/1.06 % (15979)Instruction limit reached!
% 5.10/1.06 % (15979)------------------------------
% 5.10/1.06 % (15979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.10/1.06 % (15979)Termination reason: Unknown
% 5.10/1.06 % (15979)Termination phase: Saturation
% 5.10/1.06
% 5.10/1.06 % (15979)Memory used [KB]: 6780
% 5.10/1.06 % (15979)Time elapsed: 0.105 s
% 5.10/1.06 % (15979)Instructions burned: 284 (million)
% 5.10/1.06 % (15979)------------------------------
% 5.10/1.06 % (15979)------------------------------
% 5.10/1.08 % (15985)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2992ds/231Mi)
% 5.10/1.09 % (15984)Instruction limit reached!
% 5.10/1.09 % (15984)------------------------------
% 5.10/1.09 % (15984)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.10/1.09 % (15984)Termination reason: Unknown
% 5.10/1.09 % (15984)Termination phase: Twee Goal Transformation
% 5.10/1.09
% 5.10/1.09 % (15984)Memory used [KB]: 1918
% 5.10/1.09 % (15984)Time elapsed: 0.036 s
% 5.10/1.09 % (15984)Instructions burned: 91 (million)
% 5.10/1.09 % (15984)------------------------------
% 5.10/1.09 % (15984)------------------------------
% 5.33/1.10 % (15986)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2992ds/458Mi)
% 5.33/1.10 % (15982)Instruction limit reached!
% 5.33/1.10 % (15982)------------------------------
% 5.33/1.10 % (15982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.33/1.10 % (15982)Termination reason: Unknown
% 5.33/1.10 % (15982)Termination phase: Saturation
% 5.33/1.10
% 5.33/1.10 % (15982)Memory used [KB]: 6524
% 5.33/1.10 % (15982)Time elapsed: 0.072 s
% 5.33/1.10 % (15982)Instructions burned: 192 (million)
% 5.33/1.10 % (15982)------------------------------
% 5.33/1.10 % (15982)------------------------------
% 5.33/1.11 % (15981)Instruction limit reached!
% 5.33/1.11 % (15981)------------------------------
% 5.33/1.11 % (15981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.33/1.11 % (15981)Termination reason: Unknown
% 5.33/1.11 % (15981)Termination phase: Saturation
% 5.33/1.11
% 5.33/1.11 % (15981)Memory used [KB]: 6524
% 5.33/1.11 % (15981)Time elapsed: 0.105 s
% 5.33/1.11 % (15981)Instructions burned: 299 (million)
% 5.33/1.11 % (15981)------------------------------
% 5.33/1.11 % (15981)------------------------------
% 5.33/1.11 % (15978)Instruction limit reached!
% 5.33/1.11 % (15978)------------------------------
% 5.33/1.11 % (15978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.33/1.11 % (15978)Termination reason: Unknown
% 5.33/1.11 % (15978)Termination phase: Saturation
% 5.33/1.11
% 5.33/1.11 % (15978)Memory used [KB]: 7291
% 5.33/1.11 % (15978)Time elapsed: 0.152 s
% 5.33/1.11 % (15978)Instructions burned: 341 (million)
% 5.33/1.11 % (15978)------------------------------
% 5.33/1.11 % (15978)------------------------------
% 5.33/1.11 % (15987)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2992ds/31Mi)
% 5.33/1.12 % (15988)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2992ds/297Mi)
% 5.33/1.12 % (15989)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2992ds/987Mi)
% 5.33/1.13 % (15987)Instruction limit reached!
% 5.33/1.13 % (15987)------------------------------
% 5.33/1.13 % (15987)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.33/1.13 % (15987)Termination reason: Unknown
% 5.33/1.13 % (15987)Termination phase: Preprocessing 3
% 5.33/1.13
% 5.33/1.13 % (15987)Memory used [KB]: 1535
% 5.33/1.13 % (15987)Time elapsed: 0.015 s
% 5.33/1.13 % (15987)Instructions burned: 31 (million)
% 5.33/1.13 % (15987)------------------------------
% 5.33/1.13 % (15987)------------------------------
% 5.33/1.13 % (15983)Instruction limit reached!
% 5.33/1.13 % (15983)------------------------------
% 5.33/1.13 % (15983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.33/1.13 % (15983)Termination reason: Unknown
% 5.33/1.13 % (15983)Termination phase: Saturation
% 5.33/1.13
% 5.33/1.13 % (15983)Memory used [KB]: 6524
% 5.33/1.13 % (15983)Time elapsed: 0.097 s
% 5.33/1.13 % (15983)Instructions burned: 259 (million)
% 5.33/1.13 % (15983)------------------------------
% 5.33/1.13 % (15983)------------------------------
% 5.33/1.14 % (15990)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2991ds/182Mi)
% 5.33/1.14 % (15991)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2991ds/182Mi)
% 5.33/1.16 % (15976)Instruction limit reached!
% 5.33/1.16 % (15976)------------------------------
% 5.33/1.16 % (15976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.33/1.16 % (15976)Termination reason: Unknown
% 5.33/1.16 % (15976)Termination phase: Saturation
% 5.33/1.16
% 5.33/1.16 % (15976)Memory used [KB]: 7675
% 5.33/1.16 % (15976)Time elapsed: 0.243 s
% 5.33/1.16 % (15976)Instructions burned: 614 (million)
% 5.33/1.16 % (15976)------------------------------
% 5.33/1.16 % (15976)------------------------------
% 5.33/1.18 % (15992)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2991ds/154Mi)
% 5.33/1.18 % (15985)Instruction limit reached!
% 5.33/1.18 % (15985)------------------------------
% 5.33/1.18 % (15985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.33/1.18 % (15985)Termination reason: Unknown
% 5.33/1.18 % (15985)Termination phase: Saturation
% 5.33/1.18
% 5.33/1.18 % (15985)Memory used [KB]: 7291
% 5.33/1.18 % (15985)Time elapsed: 0.103 s
% 5.33/1.18 % (15985)Instructions burned: 231 (million)
% 5.33/1.18 % (15985)------------------------------
% 5.33/1.18 % (15985)------------------------------
% 6.95/1.19 % (15993)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2991ds/79Mi)
% 6.95/1.21 % (15990)Instruction limit reached!
% 6.95/1.21 % (15990)------------------------------
% 6.95/1.21 % (15990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.95/1.21 % (15990)Termination reason: Unknown
% 6.95/1.21 % (15990)Termination phase: Saturation
% 6.95/1.21
% 6.95/1.21 % (15990)Memory used [KB]: 6524
% 6.95/1.21 % (15990)Time elapsed: 0.069 s
% 6.95/1.21 % (15990)Instructions burned: 183 (million)
% 6.95/1.21 % (15990)------------------------------
% 6.95/1.21 % (15990)------------------------------
% 7.16/1.22 % (15994)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2991ds/216Mi)
% 7.16/1.22 % (15993)Instruction limit reached!
% 7.16/1.22 % (15993)------------------------------
% 7.16/1.22 % (15993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.16/1.22 % (15993)Termination reason: Unknown
% 7.16/1.22 % (15993)Termination phase: Property scanning
% 7.16/1.22
% 7.16/1.22 % (15993)Memory used [KB]: 1918
% 7.16/1.22 % (15993)Time elapsed: 0.031 s
% 7.16/1.22 % (15993)Instructions burned: 80 (million)
% 7.16/1.22 % (15993)------------------------------
% 7.16/1.22 % (15993)------------------------------
% 7.16/1.23 % (15991)Instruction limit reached!
% 7.16/1.23 % (15991)------------------------------
% 7.16/1.23 % (15991)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.16/1.23 % (15991)Termination reason: Unknown
% 7.16/1.23 % (15991)Termination phase: Saturation
% 7.16/1.23
% 7.16/1.23 % (15991)Memory used [KB]: 6524
% 7.16/1.23 % (15991)Time elapsed: 0.086 s
% 7.16/1.23 % (15991)Instructions burned: 184 (million)
% 7.16/1.23 % (15991)------------------------------
% 7.16/1.23 % (15991)------------------------------
% 7.26/1.23 % (15992)Instruction limit reached!
% 7.26/1.23 % (15992)------------------------------
% 7.26/1.23 % (15992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.26/1.23 % (15992)Termination reason: Unknown
% 7.26/1.23 % (15992)Termination phase: Saturation
% 7.26/1.23
% 7.26/1.23 % (15992)Memory used [KB]: 6396
% 7.26/1.23 % (15992)Time elapsed: 0.058 s
% 7.26/1.23 % (15992)Instructions burned: 154 (million)
% 7.26/1.23 % (15992)------------------------------
% 7.26/1.23 % (15992)------------------------------
% 7.26/1.23 % (15995)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2990ds/114Mi)
% 7.26/1.24 % (15996)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2990ds/922Mi)
% 7.26/1.25 % (15997)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2990ds/182Mi)
% 7.26/1.25 % (15956)Instruction limit reached!
% 7.26/1.25 % (15956)------------------------------
% 7.26/1.25 % (15956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.26/1.25 % (15956)Termination reason: Unknown
% 7.26/1.25 % (15956)Termination phase: Saturation
% 7.26/1.25
% 7.26/1.25 % (15956)Memory used [KB]: 7547
% 7.26/1.25 % (15956)Time elapsed: 0.504 s
% 7.26/1.25 % (15956)Instructions burned: 1087 (million)
% 7.26/1.25 % (15956)------------------------------
% 7.26/1.25 % (15956)------------------------------
% 7.26/1.25 % (15988)Instruction limit reached!
% 7.26/1.25 % (15988)------------------------------
% 7.26/1.25 % (15988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.26/1.25 % (15988)Termination reason: Unknown
% 7.26/1.25 % (15988)Termination phase: Saturation
% 7.26/1.25
% 7.26/1.25 % (15988)Memory used [KB]: 6524
% 7.26/1.25 % (15988)Time elapsed: 0.131 s
% 7.26/1.25 % (15988)Instructions burned: 297 (million)
% 7.26/1.25 % (15988)------------------------------
% 7.26/1.25 % (15988)------------------------------
% 7.26/1.26 % (15998)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2990ds/164Mi)
% 7.26/1.26 % (15999)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2990ds/50Mi)
% 7.26/1.28 % (15995)Instruction limit reached!
% 7.26/1.28 % (15995)------------------------------
% 7.26/1.28 % (15995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.26/1.28 % (15995)Termination reason: Unknown
% 7.26/1.28 % (15995)Termination phase: Saturation
% 7.26/1.28
% 7.26/1.28 % (15995)Memory used [KB]: 6396
% 7.26/1.28 % (15995)Time elapsed: 0.045 s
% 7.26/1.28 % (15995)Instructions burned: 116 (million)
% 7.26/1.28 % (15995)------------------------------
% 7.26/1.28 % (15995)------------------------------
% 7.26/1.28 % (15999)Instruction limit reached!
% 7.26/1.28 % (15999)------------------------------
% 7.26/1.28 % (15999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.26/1.28 % (15999)Termination reason: Unknown
% 7.26/1.28 % (15999)Termination phase: Function definition elimination
% 7.26/1.28
% 7.26/1.28 % (15999)Memory used [KB]: 1663
% 7.26/1.28 % (15999)Time elapsed: 0.022 s
% 7.26/1.28 % (15999)Instructions burned: 51 (million)
% 7.26/1.28 % (15999)------------------------------
% 7.26/1.28 % (15999)------------------------------
% 7.26/1.29 % (16001)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2990ds/368Mi)
% 7.26/1.29 % (15986)Instruction limit reached!
% 7.26/1.29 % (15986)------------------------------
% 7.26/1.29 % (15986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.26/1.29 % (15986)Termination reason: Unknown
% 7.26/1.29 % (15986)Termination phase: Saturation
% 7.26/1.29
% 7.26/1.29 % (15986)Memory used [KB]: 6780
% 7.26/1.30 % (15986)Time elapsed: 0.185 s
% 7.26/1.30 % (15986)Instructions burned: 458 (million)
% 7.26/1.30 % (15986)------------------------------
% 7.26/1.30 % (15986)------------------------------
% 7.26/1.30 % (16002)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2990ds/1021Mi)
% 7.61/1.31 % (16003)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2990ds/267Mi)
% 7.61/1.31 % (15994)Instruction limit reached!
% 7.61/1.31 % (15994)------------------------------
% 7.61/1.31 % (15994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.61/1.31 % (15994)Termination reason: Unknown
% 7.61/1.31 % (15994)Termination phase: Saturation
% 7.61/1.31
% 7.61/1.31 % (15994)Memory used [KB]: 6524
% 7.61/1.31 % (15994)Time elapsed: 0.093 s
% 7.61/1.31 % (15994)Instructions burned: 217 (million)
% 7.61/1.31 % (15994)------------------------------
% 7.61/1.31 % (15994)------------------------------
% 7.61/1.31 % (15997)Instruction limit reached!
% 7.61/1.31 % (15997)------------------------------
% 7.61/1.31 % (15997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.61/1.31 % (15997)Termination reason: Unknown
% 7.61/1.31 % (15997)Termination phase: Saturation
% 7.61/1.31
% 7.61/1.31 % (15997)Memory used [KB]: 6396
% 7.61/1.31 % (15997)Time elapsed: 0.067 s
% 7.61/1.31 % (15997)Instructions burned: 183 (million)
% 7.61/1.31 % (15997)------------------------------
% 7.61/1.31 % (15997)------------------------------
% 7.61/1.32 % (16004)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2990ds/204Mi)
% 7.61/1.33 % (16005)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2990ds/26Mi)
% 7.61/1.34 % (15998)Instruction limit reached!
% 7.61/1.34 % (15998)------------------------------
% 7.61/1.34 % (15998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.61/1.34 % (15998)Termination reason: Unknown
% 7.61/1.34 % (15998)Termination phase: Saturation
% 7.61/1.34
% 7.61/1.34 % (15998)Memory used [KB]: 2046
% 7.61/1.34 % (15998)Time elapsed: 0.078 s
% 7.61/1.34 % (15998)Instructions burned: 165 (million)
% 7.61/1.34 % (15998)------------------------------
% 7.61/1.34 % (15998)------------------------------
% 7.61/1.34 % (16005)Instruction limit reached!
% 7.61/1.34 % (16005)------------------------------
% 7.61/1.34 % (16005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.61/1.34 % (16005)Termination reason: Unknown
% 7.61/1.34 % (16005)Termination phase: Property scanning
% 7.61/1.34
% 7.61/1.34 % (16005)Memory used [KB]: 1535
% 7.61/1.34 % (16005)Time elapsed: 0.014 s
% 7.61/1.34 % (16005)Instructions burned: 28 (million)
% 7.61/1.34 % (16005)------------------------------
% 7.61/1.34 % (16005)------------------------------
% 7.61/1.35 % (16006)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2989ds/53Mi)
% 7.61/1.35 % (16007)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2989ds/4436Mi)
% 7.61/1.37 % (16006)Instruction limit reached!
% 7.61/1.37 % (16006)------------------------------
% 7.61/1.37 % (16006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.61/1.37 % (16006)Termination reason: Unknown
% 7.61/1.37 % (16006)Termination phase: Function definition elimination
% 7.61/1.37
% 7.61/1.37 % (16006)Memory used [KB]: 1663
% 7.61/1.37 % (16006)Time elapsed: 0.022 s
% 7.61/1.37 % (16006)Instructions burned: 53 (million)
% 7.61/1.37 % (16006)------------------------------
% 7.61/1.37 % (16006)------------------------------
% 8.02/1.38 % (16008)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2989ds/1539Mi)
% 8.02/1.40 % (16004)Instruction limit reached!
% 8.02/1.40 % (16004)------------------------------
% 8.02/1.40 % (16004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.02/1.40 % (16004)Termination reason: Unknown
% 8.02/1.40 % (16004)Termination phase: Saturation
% 8.02/1.40
% 8.02/1.40 % (16004)Memory used [KB]: 6524
% 8.02/1.40 % (16004)Time elapsed: 0.077 s
% 8.02/1.40 % (16004)Instructions burned: 204 (million)
% 8.02/1.40 % (16004)------------------------------
% 8.02/1.40 % (16004)------------------------------
% 8.02/1.41 % (16003)Instruction limit reached!
% 8.02/1.41 % (16003)------------------------------
% 8.02/1.41 % (16003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.02/1.41 % (16003)Termination reason: Unknown
% 8.02/1.41 % (16003)Termination phase: Saturation
% 8.02/1.41
% 8.02/1.41 % (16003)Memory used [KB]: 6780
% 8.02/1.41 % (16003)Time elapsed: 0.100 s
% 8.02/1.41 % (16003)Instructions burned: 268 (million)
% 8.02/1.41 % (16003)------------------------------
% 8.02/1.41 % (16003)------------------------------
% 8.02/1.41 % (16009)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2989ds/408Mi)
% 8.02/1.42 % (16010)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2989ds/5205Mi)
% 8.02/1.44 % (16001)Instruction limit reached!
% 8.02/1.44 % (16001)------------------------------
% 8.02/1.44 % (16001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.02/1.44 % (16001)Termination reason: Unknown
% 8.02/1.44 % (16001)Termination phase: Saturation
% 8.02/1.44
% 8.02/1.44 % (16001)Memory used [KB]: 7419
% 8.02/1.44 % (16001)Time elapsed: 0.152 s
% 8.02/1.44 % (16001)Instructions burned: 368 (million)
% 8.02/1.44 % (16001)------------------------------
% 8.02/1.44 % (16001)------------------------------
% 8.02/1.46 % (16011)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2988ds/1913Mi)
% 8.48/1.50 % (15989)Instruction limit reached!
% 8.48/1.50 % (15989)------------------------------
% 8.48/1.50 % (15989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.48/1.50 % (15989)Termination reason: Unknown
% 8.48/1.50 % (15989)Termination phase: Saturation
% 8.48/1.50
% 8.48/1.50 % (15989)Memory used [KB]: 7419
% 8.48/1.50 % (15989)Time elapsed: 0.376 s
% 8.48/1.50 % (15989)Instructions burned: 987 (million)
% 8.48/1.50 % (15989)------------------------------
% 8.48/1.50 % (15989)------------------------------
% 8.48/1.51 % (16012)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2988ds/4350Mi)
% 8.51/1.61 % (16009)Instruction limit reached!
% 8.51/1.61 % (16009)------------------------------
% 8.51/1.61 % (16009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.51/1.61 % (16009)Termination reason: Unknown
% 8.51/1.61 % (16009)Termination phase: Saturation
% 8.51/1.61
% 8.51/1.61 % (16009)Memory used [KB]: 7803
% 8.51/1.61 % (16009)Time elapsed: 0.194 s
% 8.51/1.61 % (16009)Instructions burned: 408 (million)
% 8.51/1.61 % (16009)------------------------------
% 8.51/1.61 % (16009)------------------------------
% 8.71/1.61 % (15996)Instruction limit reached!
% 8.71/1.61 % (15996)------------------------------
% 8.71/1.61 % (15996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.71/1.61 % (15996)Termination reason: Unknown
% 8.71/1.61 % (15996)Termination phase: Saturation
% 8.71/1.61
% 8.71/1.61 % (15996)Memory used [KB]: 7419
% 8.71/1.61 % (15996)Time elapsed: 0.377 s
% 8.71/1.61 % (15996)Instructions burned: 922 (million)
% 8.71/1.61 % (15996)------------------------------
% 8.71/1.61 % (15996)------------------------------
% 8.71/1.62 % (16013)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2987ds/68Mi)
% 8.71/1.63 % (16014)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2987ds/358Mi)
% 8.71/1.65 % (16013)Instruction limit reached!
% 8.71/1.65 % (16013)------------------------------
% 8.71/1.65 % (16013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.71/1.65 % (16013)Termination reason: Unknown
% 8.71/1.65 % (16013)Termination phase: Function definition elimination
% 8.71/1.65
% 8.71/1.65 % (16013)Memory used [KB]: 1791
% 8.71/1.65 % (16013)Time elapsed: 0.028 s
% 8.71/1.65 % (16013)Instructions burned: 68 (million)
% 8.71/1.65 % (16013)------------------------------
% 8.71/1.65 % (16013)------------------------------
% 8.71/1.66 % (16015)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2986ds/31Mi)
% 8.71/1.67 % (16015)Instruction limit reached!
% 8.71/1.67 % (16015)------------------------------
% 8.71/1.67 % (16015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.71/1.67 % (16015)Termination reason: Unknown
% 8.71/1.67 % (16015)Termination phase: Clausification
% 8.71/1.67
% 8.71/1.67 % (16015)Memory used [KB]: 1663
% 8.71/1.67 % (16015)Time elapsed: 0.016 s
% 8.71/1.67 % (16015)Instructions burned: 32 (million)
% 8.71/1.67 % (16015)------------------------------
% 8.71/1.67 % (16015)------------------------------
% 8.71/1.69 % (16016)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2986ds/279Mi)
% 8.71/1.69 % (16002)Instruction limit reached!
% 8.71/1.69 % (16002)------------------------------
% 8.71/1.69 % (16002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.71/1.69 % (16002)Termination reason: Unknown
% 8.71/1.69 % (16002)Termination phase: Saturation
% 8.71/1.69
% 8.71/1.69 % (16002)Memory used [KB]: 7036
% 8.71/1.69 % (16002)Time elapsed: 0.395 s
% 8.71/1.69 % (16002)Instructions burned: 1023 (million)
% 8.71/1.69 % (16002)------------------------------
% 8.71/1.69 % (16002)------------------------------
% 10.97/1.70 % (16017)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2986ds/258Mi)
% 10.97/1.77 % (16014)Instruction limit reached!
% 10.97/1.77 % (16014)------------------------------
% 10.97/1.77 % (16014)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.97/1.77 % (16014)Termination reason: Unknown
% 10.97/1.77 % (16014)Termination phase: Saturation
% 10.97/1.77
% 10.97/1.77 % (16014)Memory used [KB]: 6524
% 10.97/1.77 % (16014)Time elapsed: 0.146 s
% 10.97/1.77 % (16014)Instructions burned: 359 (million)
% 10.97/1.77 % (16014)------------------------------
% 10.97/1.77 % (16014)------------------------------
% 11.63/1.79 % (16018)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2985ds/26Mi)
% 11.63/1.80 % (16018)Instruction limit reached!
% 11.63/1.80 % (16018)------------------------------
% 11.63/1.80 % (16018)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.63/1.80 % (16018)Termination reason: Unknown
% 11.63/1.80 % (16018)Termination phase: Property scanning
% 11.63/1.80
% 11.63/1.80 % (16018)Memory used [KB]: 1535
% 11.63/1.80 % (16018)Time elapsed: 0.014 s
% 11.63/1.80 % (16018)Instructions burned: 28 (million)
% 11.63/1.80 % (16018)------------------------------
% 11.63/1.80 % (16018)------------------------------
% 11.77/1.81 % (16019)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2985ds/995Mi)
% 11.77/1.81 % (16016)Instruction limit reached!
% 11.77/1.81 % (16016)------------------------------
% 11.77/1.81 % (16016)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.77/1.81 % (16016)Termination reason: Unknown
% 11.77/1.81 % (16016)Termination phase: Saturation
% 11.77/1.81
% 11.77/1.81 % (16016)Memory used [KB]: 7036
% 11.77/1.81 % (16016)Time elapsed: 0.128 s
% 11.77/1.81 % (16016)Instructions burned: 279 (million)
% 11.77/1.81 % (16016)------------------------------
% 11.77/1.81 % (16016)------------------------------
% 11.89/1.83 % (16020)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2985ds/373Mi)
% 11.89/1.83 % (16017)Instruction limit reached!
% 11.89/1.83 % (16017)------------------------------
% 11.89/1.83 % (16017)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.89/1.83 % (16017)Termination reason: Unknown
% 11.89/1.83 % (16017)Termination phase: Saturation
% 11.89/1.83
% 11.89/1.83 % (16017)Memory used [KB]: 6780
% 11.89/1.83 % (16017)Time elapsed: 0.126 s
% 11.89/1.83 % (16017)Instructions burned: 259 (million)
% 11.89/1.83 % (16017)------------------------------
% 11.89/1.83 % (16017)------------------------------
% 11.89/1.84 % (16021)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2984ds/253Mi)
% 12.49/1.93 % (16021)Instruction limit reached!
% 12.49/1.93 % (16021)------------------------------
% 12.49/1.93 % (16021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.49/1.93 % (16021)Termination reason: Unknown
% 12.49/1.93 % (16021)Termination phase: Saturation
% 12.49/1.93
% 12.49/1.93 % (16021)Memory used [KB]: 6524
% 12.49/1.93 % (16021)Time elapsed: 0.092 s
% 12.49/1.93 % (16021)Instructions burned: 254 (million)
% 12.49/1.93 % (16021)------------------------------
% 12.49/1.93 % (16021)------------------------------
% 12.49/1.95 % (16023)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2983ds/832Mi)
% 12.49/1.97 % (16008)Instruction limit reached!
% 12.49/1.97 % (16008)------------------------------
% 12.49/1.97 % (16008)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.49/1.97 % (16008)Termination reason: Unknown
% 12.49/1.97 % (16008)Termination phase: Saturation
% 12.49/1.97
% 12.49/1.97 % (16008)Memory used [KB]: 7547
% 12.49/1.97 % (16008)Time elapsed: 0.586 s
% 12.49/1.97 % (16008)Instructions burned: 1540 (million)
% 12.49/1.97 % (16008)------------------------------
% 12.49/1.97 % (16008)------------------------------
% 12.49/1.97 % (16020)Instruction limit reached!
% 12.49/1.97 % (16020)------------------------------
% 12.49/1.97 % (16020)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.49/1.97 % (16020)Termination reason: Unknown
% 12.49/1.97 % (16020)Termination phase: Saturation
% 12.49/1.97
% 12.49/1.97 % (16020)Memory used [KB]: 7036
% 12.49/1.97 % (16020)Time elapsed: 0.148 s
% 12.49/1.97 % (16020)Instructions burned: 373 (million)
% 12.49/1.97 % (16020)------------------------------
% 12.49/1.97 % (16020)------------------------------
% 12.49/1.98 % (16024)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2983ds/668Mi)
% 12.49/1.99 % (16025)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=40:si=on:rtra=on_0 on theBenchmark for (2983ds/40Mi)
% 13.11/2.00 % (16025)Instruction limit reached!
% 13.11/2.00 % (16025)------------------------------
% 13.11/2.00 % (16025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.11/2.00 % (16025)Termination reason: Unknown
% 13.11/2.00 % (16025)Termination phase: Function definition elimination
% 13.11/2.00
% 13.11/2.00 % (16025)Memory used [KB]: 1663
% 13.11/2.00 % (16025)Time elapsed: 0.020 s
% 13.11/2.00 % (16025)Instructions burned: 42 (million)
% 13.11/2.00 % (16025)------------------------------
% 13.11/2.00 % (16025)------------------------------
% 13.11/2.02 % (16026)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2983ds/294Mi)
% 13.11/2.07 % (16011)First to succeed.
% 13.52/2.10 % (16011)Refutation found. Thanks to Tanya!
% 13.52/2.10 % SZS status Theorem for theBenchmark
% 13.52/2.10 % SZS output start Proof for theBenchmark
% 13.52/2.10 thf(func_def_0, type, c_Eps_i: ($i > $o) > $i).
% 13.52/2.10 thf(func_def_3, type, c_not: $o > $o).
% 13.52/2.10 thf(func_def_4, type, c_and: $o > $o > $o).
% 13.52/2.10 thf(func_def_5, type, c_or: $o > $o > $o).
% 13.52/2.10 thf(func_def_6, type, c_iff: $o > $o > $o).
% 13.52/2.10 thf(func_def_7, type, c_In: $i > $i > $o).
% 13.52/2.10 thf(func_def_8, type, c_Subq: $i > $i > $o).
% 13.52/2.10 thf(func_def_10, type, c_Union: $i > $i).
% 13.52/2.10 thf(func_def_11, type, c_Power: $i > $i).
% 13.52/2.10 thf(func_def_12, type, c_Repl: $i > ($i > $i) > $i).
% 13.52/2.10 thf(func_def_13, type, c_TransSet: $i > $o).
% 13.52/2.10 thf(func_def_14, type, c_atleast2: $i > $o).
% 13.52/2.10 thf(func_def_15, type, c_atleast3: $i > $o).
% 13.52/2.10 thf(func_def_16, type, c_atleast4: $i > $o).
% 13.52/2.10 thf(func_def_17, type, c_atleast5: $i > $o).
% 13.52/2.10 thf(func_def_18, type, c_atleast6: $i > $o).
% 13.52/2.10 thf(func_def_19, type, c_exactly2: $i > $o).
% 13.52/2.10 thf(func_def_20, type, c_exactly3: $i > $o).
% 13.52/2.10 thf(func_def_21, type, c_exactly4: $i > $o).
% 13.52/2.10 thf(func_def_22, type, c_exactly5: $i > $o).
% 13.52/2.10 thf(func_def_23, type, c_exu_i: ($i > $o) > $o).
% 13.52/2.10 thf(func_def_24, type, c_reflexive_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_25, type, c_irreflexive_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_26, type, c_symmetric_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_27, type, c_antisymmetric_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_28, type, c_transitive_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_29, type, c_eqreln_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_30, type, c_per_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_31, type, c_linear_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_32, type, c_trichotomous_or_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_33, type, c_partialorder_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_34, type, c_totalorder_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_35, type, c_strictpartialorder_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_36, type, c_stricttotalorder_i: ($i > $i > $o) > $o).
% 13.52/2.10 thf(func_def_37, type, c_If_i: $o > $i > $i > $i).
% 13.52/2.10 thf(func_def_38, type, c_exactly1of2: $o > $o > $o).
% 13.52/2.10 thf(func_def_39, type, c_exactly1of3: $o > $o > $o > $o).
% 13.52/2.10 thf(func_def_40, type, c_nIn: $i > $i > $o).
% 13.52/2.10 thf(func_def_41, type, c_nSubq: $i > $i > $o).
% 13.52/2.10 thf(func_def_42, type, c_UPair: $i > $i > $i).
% 13.52/2.10 thf(func_def_43, type, c_Sing: $i > $i).
% 13.52/2.10 thf(func_def_44, type, c_binunion: $i > $i > $i).
% 13.52/2.10 thf(func_def_45, type, c_SetAdjoin: $i > $i > $i).
% 13.52/2.10 thf(func_def_46, type, c_famunion: $i > ($i > $i) > $i).
% 13.52/2.10 thf(func_def_47, type, c_Sep: $i > ($i > $o) > $i).
% 13.52/2.10 thf(func_def_48, type, c_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 13.52/2.10 thf(func_def_49, type, c_binintersect: $i > $i > $i).
% 13.52/2.10 thf(func_def_50, type, c_setminus: $i > $i > $i).
% 13.52/2.10 thf(func_def_51, type, c_inj: $i > $i > ($i > $i) > $o).
% 13.52/2.10 thf(func_def_52, type, c_bij: $i > $i > ($i > $i) > $o).
% 13.52/2.10 thf(func_def_53, type, c_atleastp: $i > $i > $o).
% 13.52/2.10 thf(func_def_54, type, c_equip: $i > $i > $o).
% 13.52/2.10 thf(func_def_55, type, c_In_rec_poly_G_i: ($i > ($i > $i) > $i) > $i > $i > $o).
% 13.52/2.10 thf(func_def_56, type, c_In_rec_poly_i: ($i > ($i > $i) > $i) > $i > $i).
% 13.52/2.10 thf(func_def_57, type, c_ordsucc: $i > $i).
% 13.52/2.10 thf(func_def_58, type, c_nat_p: $i > $o).
% 13.52/2.10 thf(func_def_59, type, c_nat_primrec: $i > ($i > $i > $i) > $i > $i).
% 13.52/2.10 thf(func_def_60, type, c_add_nat: $i > $i > $i).
% 13.52/2.10 thf(func_def_61, type, c_mul_nat: $i > $i > $i).
% 13.52/2.10 thf(func_def_62, type, c_ordinal: $i > $o).
% 13.52/2.10 thf(func_def_63, type, c_V_: $i > $i).
% 13.52/2.10 thf(func_def_64, type, c_Inj1: $i > $i).
% 13.52/2.10 thf(func_def_65, type, c_Inj0: $i > $i).
% 13.52/2.10 thf(func_def_66, type, c_Unj: $i > $i).
% 13.52/2.10 thf(func_def_67, type, c_combine_funcs: $i > $i > ($i > $i) > ($i > $i) > $i > $i).
% 13.52/2.10 thf(func_def_68, type, c_setsum: $i > $i > $i).
% 13.52/2.10 thf(func_def_69, type, c_proj0: $i > $i).
% 13.52/2.10 thf(func_def_70, type, c_proj1: $i > $i).
% 13.52/2.10 thf(func_def_71, type, c_binrep: $i > $i > $i).
% 13.52/2.10 thf(func_def_72, type, c_lam: $i > ($i > $i) > $i).
% 13.52/2.10 thf(func_def_73, type, c_setprod: $i > $i > $i).
% 13.52/2.10 thf(func_def_74, type, c_ap: $i > $i > $i).
% 13.52/2.10 thf(func_def_75, type, c_setsum_p: $i > $o).
% 13.52/2.10 thf(func_def_76, type, c_tuple_p: $i > $i > $o).
% 13.52/2.10 thf(func_def_77, type, c_Pi: $i > ($i > $i) > $i).
% 13.52/2.10 thf(func_def_78, type, c_setexp: $i > $i > $i).
% 13.52/2.10 thf(func_def_79, type, c_Sep2: $i > ($i > $i) > ($i > $i > $o) > $i).
% 13.52/2.10 thf(func_def_80, type, c_set_of_pairs: $i > $o).
% 13.52/2.10 thf(func_def_81, type, c_lam2: $i > ($i > $i) > ($i > $i > $i) > $i).
% 13.52/2.10 thf(func_def_82, type, c_PNoEq_: $i > ($i > $o) > ($i > $o) > $o).
% 13.52/2.10 thf(func_def_83, type, c_PNoLt_: $i > ($i > $o) > ($i > $o) > $o).
% 13.52/2.10 thf(func_def_84, type, c_PNoLt: $i > ($i > $o) > $i > ($i > $o) > $o).
% 13.52/2.10 thf(func_def_85, type, c_PNoLe: $i > ($i > $o) > $i > ($i > $o) > $o).
% 13.52/2.10 thf(func_def_86, type, c_PNo_downc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 13.52/2.10 thf(func_def_87, type, c_PNo_upc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 13.52/2.10 thf(func_def_88, type, c_SNoElts_: $i > $i).
% 13.52/2.10 thf(func_def_89, type, c_SNo_: $i > $i > $o).
% 13.52/2.10 thf(func_def_90, type, c_PSNo: $i > ($i > $o) > $i).
% 13.52/2.10 thf(func_def_91, type, c_SNo: $i > $o).
% 13.52/2.10 thf(func_def_92, type, c_SNoLev: $i > $i).
% 13.52/2.10 thf(func_def_93, type, c_SNoEq_: $i > $i > $i > $o).
% 13.52/2.10 thf(func_def_94, type, c_SNoLt: $i > $i > $o).
% 13.52/2.10 thf(func_def_95, type, c_SNoLe: $i > $i > $o).
% 13.52/2.10 thf(func_def_96, type, c_binop_on: $i > ($i > $i > $i) > $o).
% 13.52/2.10 thf(func_def_97, type, c_Loop: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > $o).
% 13.52/2.10 thf(func_def_98, type, c_Loop_with_defs: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 13.52/2.10 thf(func_def_99, type, c_Loop_with_defs_cex1: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 13.52/2.10 thf(func_def_100, type, c_Loop_with_defs_cex2: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 13.52/2.10 thf(func_def_101, type, c_combinator: $i > $o).
% 13.52/2.10 thf(func_def_102, type, c_combinator_equiv: $i > $i > $o).
% 13.52/2.10 thf(func_def_103, type, c_equip_mod: $i > $i > $i > $o).
% 13.52/2.10 thf(func_def_131, type, sP0: ($i > $o) > $o).
% 13.52/2.10 thf(func_def_132, type, sP1: ($i > $o) > $o).
% 13.52/2.10 thf(func_def_133, type, sK2: ($i > $o) > $i).
% 13.52/2.10 thf(func_def_134, type, sK3: ($i > $o) > $i > $i).
% 13.52/2.10 thf(func_def_135, type, sK4: ($i > $o) > $i).
% 13.52/2.10 thf(func_def_136, type, sK5: ($i > $o) > $i).
% 13.52/2.10 thf(func_def_137, type, sK6: ($i > $o) > $i).
% 13.52/2.10 thf(func_def_138, type, sK7: ($i > $o) > $i).
% 13.52/2.10 thf(func_def_139, type, sK8: ($i > $o) > $i).
% 13.52/2.10 thf(func_def_140, type, sK9: ($i > $i) > ($i > $i) > $i).
% 13.52/2.10 thf(func_def_141, type, sK10: ($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i).
% 13.52/2.10 thf(func_def_142, type, sK11: ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i).
% 13.52/2.10 thf(func_def_143, type, sK12: ($i > $i) > $i > $i).
% 13.52/2.10 thf(func_def_144, type, sK13: $i > $i > $i).
% 13.52/2.10 thf(func_def_145, type, sK14: $i > $i > $i).
% 13.52/2.10 thf(func_def_146, type, sK15: $i > $i > $i).
% 13.52/2.10 thf(func_def_147, type, sK16: $o > $o > $o).
% 13.52/2.10 thf(func_def_148, type, sK17: $o > $o > $o).
% 13.52/2.10 thf(func_def_149, type, sK18: $i > $i > $i).
% 13.52/2.10 thf(func_def_150, type, sK19: ($i > $i) > $i > $i > $i).
% 13.52/2.10 thf(func_def_151, type, sK20: $i > ($i > $i) > $i > $i > $o).
% 13.52/2.10 thf(func_def_153, type, sK22: $i > $i > $i).
% 13.52/2.10 thf(func_def_154, type, sK23: $i > $i > $i > $o).
% 13.52/2.10 thf(func_def_156, type, ph25: !>[X0: $tType]:(X0)).
% 13.52/2.10 thf(f1547,plain,(
% 13.52/2.10 $false),
% 13.52/2.10 inference(trivial_inequality_removal,[],[f1515])).
% 13.52/2.10 thf(f1515,plain,(
% 13.52/2.10 ($true = $false)),
% 13.52/2.10 inference(superposition,[],[f1298,f1443])).
% 13.52/2.10 thf(f1443,plain,(
% 13.52/2.10 ( ! [X0 : $o] : (($true = X0)) )),
% 13.52/2.10 inference(trivial_inequality_removal,[],[f1424])).
% 13.52/2.10 thf(f1424,plain,(
% 13.52/2.10 ( ! [X0 : $o] : (($true = X0) | ($true = $false)) )),
% 13.52/2.10 inference(superposition,[],[f578,f1388])).
% 13.52/2.10 thf(f1388,plain,(
% 13.52/2.10 ( ! [X0 : $o,X1 : $o] : (($true = X1) | ($true = X0)) )),
% 13.52/2.10 inference(trivial_inequality_removal,[],[f1376])).
% 13.52/2.10 thf(f1376,plain,(
% 13.52/2.10 ( ! [X0 : $o,X1 : $o] : (($true = X1) | ($true = X0) | ($true = $false)) )),
% 13.52/2.10 inference(superposition,[],[f1368,f529])).
% 13.52/2.10 thf(f529,plain,(
% 13.52/2.10 ( ! [X2 : $i,X1 : $o] : (((c_In @ X2 @ c_Empty) = $false) | ($true = X1)) )),
% 13.52/2.10 inference(beta_eta_normalization,[],[f528])).
% 13.52/2.10 thf(f528,plain,(
% 13.52/2.10 ( ! [X2 : $i,X1 : $o] : ((((^[Y0 : $i]: (c_In @ Y0 @ c_Empty)) @ X2) = $false) | ($true = X1)) )),
% 13.52/2.10 inference(pi_clausification,[],[f527])).
% 13.52/2.10 thf(f527,plain,(
% 13.52/2.10 ( ! [X1 : $o] : (($true = X1) | ($false = (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))))) )),
% 13.52/2.10 inference(beta_eta_normalization,[],[f526])).
% 13.52/2.10 thf(f526,plain,(
% 13.52/2.10 ( ! [X1 : $o] : (($false = (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))) | ($true = ((^[Y0 : $o]: (Y0)) @ X1))) )),
% 13.52/2.10 inference(pi_clausification,[],[f525])).
% 13.52/2.10 thf(f525,plain,(
% 13.52/2.10 ($true = (!! @ $o @ (^[Y0 : $o]: (Y0)))) | ($false = (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))))),
% 13.52/2.10 inference(binary_proxy_clausification,[],[f524])).
% 13.52/2.10 thf(f524,plain,(
% 13.52/2.10 (((?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) = $true)),
% 13.52/2.10 inference(beta_eta_normalization,[],[f461])).
% 13.52/2.10 thf(f461,plain,(
% 13.52/2.10 ($true = ((^[Y0 : $o]: (Y0 => (!! @ $o @ (^[Y1 : $o]: (Y1))))) @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))),
% 13.52/2.10 inference(definition_unfolding,[],[f375,f408])).
% 13.52/2.10 thf(f408,plain,(
% 13.52/2.10 (c_not = (^[Y0 : $o]: (Y0 => (!! @ $o @ (^[Y1 : $o]: (Y1))))))),
% 13.52/2.10 inference(definition_unfolding,[],[f385,f402])).
% 13.52/2.10 thf(f402,plain,(
% 13.52/2.10 (c_False = (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 13.52/2.10 inference(cnf_transformation,[],[f273])).
% 13.52/2.10 thf(f273,plain,(
% 13.52/2.10 (c_False = (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 13.52/2.10 inference(fool_elimination,[],[f272])).
% 13.52/2.10 thf(f272,plain,(
% 13.52/2.10 (c_False = ! [X0 : $o] : X0)),
% 13.52/2.10 inference(rectify,[],[f11])).
% 13.52/2.10 thf(f11,axiom,(
% 13.52/2.10 (c_False = ! [X0 : $o] : X0)),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11)).
% 13.52/2.10 thf(f385,plain,(
% 13.52/2.10 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 13.52/2.10 inference(cnf_transformation,[],[f133])).
% 13.52/2.10 thf(f133,plain,(
% 13.52/2.10 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 13.52/2.10 inference(fool_elimination,[],[f132])).
% 13.52/2.10 thf(f132,plain,(
% 13.52/2.10 ((^[X0 : $o] : (X0 => c_False)) = c_not)),
% 13.52/2.10 inference(rectify,[],[f13])).
% 13.52/2.10 thf(f13,axiom,(
% 13.52/2.10 ((^[X0 : $o] : (X0 => c_False)) = c_not)),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13)).
% 13.52/2.10 thf(f375,plain,(
% 13.52/2.10 ($true = (c_not @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))),
% 13.52/2.10 inference(cnf_transformation,[],[f199])).
% 13.52/2.10 thf(f199,plain,(
% 13.52/2.10 ($true = (c_not @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))),
% 13.52/2.10 inference(fool_elimination,[],[f198])).
% 13.52/2.10 thf(f198,plain,(
% 13.52/2.10 (c_not @ ? [X0] : (c_In @ X0 @ c_Empty))),
% 13.52/2.10 inference(rectify,[],[f5])).
% 13.52/2.10 thf(f5,axiom,(
% 13.52/2.10 (c_not @ ? [X0] : (c_In @ X0 @ c_Empty))),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)).
% 13.52/2.10 thf(f1368,plain,(
% 13.52/2.10 ( ! [X2 : $o,X0 : $i] : (($true = (c_In @ (c_Union @ c_Empty) @ X0)) | ($true = X2)) )),
% 13.52/2.10 inference(forward_demodulation,[],[f1367,f1075])).
% 13.52/2.10 thf(f1075,plain,(
% 13.52/2.10 ( ! [X0 : $i] : (((c_Union @ c_Empty) = X0)) )),
% 13.52/2.10 inference(superposition,[],[f1037,f651])).
% 13.52/2.10 thf(f651,plain,(
% 13.52/2.10 ( ! [X0 : $i,X1 : $i] : (((sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X0)))) @ X1) = X0)) )),
% 13.52/2.10 inference(superposition,[],[f647,f395])).
% 13.52/2.10 thf(f395,plain,(
% 13.52/2.10 ( ! [X11 : $i] : (((sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X11)))) @ c_Empty) = X11)) )),
% 13.52/2.10 inference(cnf_transformation,[],[f321])).
% 13.52/2.10 thf(f321,plain,(
% 13.52/2.10 ! [X4 : $i > ($i > $i > $i) > $i,X5 : $i > $i,X6 : $i > $i] : ((c_setsum @ (X5 @ (X6 @ (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: (sK10 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))) @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i > $i > $i]: (c_Empty)))) @ (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ (sK12 @ (^[Y0 : $i]: (X5 @ c_Empty)) @ (X6 @ (X4 @ (sK12 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))))) = (sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X5 @ (sK11 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (sK10 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ (^[Y4 : $i > $i > $i]: (sK9 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i]: (c_Empty)))))))) @ (c_Inj0 @ (sK10 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))))) @ (sK9 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ (^[Y0 : $i]: (c_Empty))))) & ! [X7,X8 : ($i > $i) > ($i > $i) > $i] : ((X8 @ (^[Y0 : $i]: (c_setsum @ (sK11 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (sK9 @ (^[Y1 : $i]: (sK11 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (c_Empty)))) @ c_Empty)) @ (^[Y1 : $i]: (sK12 @ (^[Y2 : $i]: (c_Empty)) @ c_Empty)))) @ (sK11 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (sK11 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ (sK11 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ c_Empty))))) @ (^[Y0 : $i]: (c_Inj1 @ (sK12 @ (^[Y1 : $i]: (X8 @ (^[Y2 : $i]: (sK12 @ (^[Y3 : $i]: (c_Empty)) @ c_Empty)) @ (^[Y2 : $i]: (c_Inj1 @ c_Empty)))) @ X7)))) = (sK12 @ (^[Y0 : $i]: (X8 @ (^[Y1 : $i]: (c_setsum @ Y1 @ Y0)) @ (^[Y1 : $i]: (c_Empty)))) @ c_Empty)) & ! [X9,X10] : ((c_setsum @ (sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (c_Empty)))) @ (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK9 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))))))) @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ c_Empty) = (sK9 @ (^[Y0 : $i]: (X10)) @ (^[Y0 : $i]: (X9)))) & ! [X11] : ((sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X11)))) @ c_Empty) = X11) & ! [X12,X13 : $i > $i] : ((X13 @ X12) = (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK12 @ (^[Y3 : $i]: (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ Y3))) @ (c_Inj1 @ c_Empty))))))) @ (^[Y0 : $i]: (X13 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) & (c_False != $true) & ((c_Inj1 @ c_Empty) = (sK9 @ (^[Y0 : $i]: (c_Inj1 @ c_Empty)) @ (^[Y0 : $i]: (c_setsum @ c_Empty @ c_Empty)))) & ! [X14,X15] : ((sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X15)))))) @ (^[Y0 : $i]: (X14)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) = X14) & ! [X16,X17] : ((c_Inj0 @ (sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X17)))) @ (c_setsum @ c_Empty @ c_Empty))) = (sK12 @ (^[Y0 : $i]: (c_Inj1 @ (sK12 @ (^[Y1 : $i]: (c_Inj0 @ (sK10 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))) @ (c_Inj1 @ X17)))) @ (c_Inj0 @ (sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (Y1)))) @ X16))))),
% 13.52/2.10 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f319,f320])).
% 13.52/2.10 thf(f320,plain,(
% 13.52/2.10 ? [X0 : ($i > $i) > ($i > $i) > $i,X1 : ($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i,X2 : ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i,X3 : ($i > $i) > $i > $i] : (! [X4 : $i > ($i > $i > $i) > $i,X5 : $i > $i,X6 : $i > $i] : ((c_setsum @ (X5 @ (X6 @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: (X1 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))) @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i > $i > $i]: (c_Empty)))) @ (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ (X3 @ (^[Y0 : $i]: (X5 @ c_Empty)) @ (X6 @ (X4 @ (X3 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))))) = (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X5 @ (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (X1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ (^[Y4 : $i > $i > $i]: (X0 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i]: (c_Empty)))))))) @ (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))))) @ (X0 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ (^[Y0 : $i]: (c_Empty))))) & ! [X7,X8 : ($i > $i) > ($i > $i) > $i] : ((X3 @ (^[Y0 : $i]: (X8 @ (^[Y1 : $i]: (c_setsum @ Y1 @ Y0)) @ (^[Y1 : $i]: (c_Empty)))) @ c_Empty) = (X8 @ (^[Y0 : $i]: (c_setsum @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X0 @ (^[Y1 : $i]: (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (c_Empty)))) @ c_Empty)) @ (^[Y1 : $i]: (X3 @ (^[Y2 : $i]: (c_Empty)) @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ c_Empty))))) @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (X8 @ (^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (c_Empty)) @ c_Empty)) @ (^[Y2 : $i]: (c_Inj1 @ c_Empty)))) @ X7))))) & ! [X9,X10] : ((c_setsum @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (c_Empty)))) @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))))))) @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ c_Empty) = (X0 @ (^[Y0 : $i]: (X10)) @ (^[Y0 : $i]: (X9)))) & ! [X11] : ((X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X11)))) @ c_Empty) = X11) & ! [X12,X13 : $i > $i] : ((X13 @ X12) = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ Y3))) @ (c_Inj1 @ c_Empty))))))) @ (^[Y0 : $i]: (X13 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) & (c_False != $true) & ((c_Inj1 @ c_Empty) = (X0 @ (^[Y0 : $i]: (c_Inj1 @ c_Empty)) @ (^[Y0 : $i]: (c_setsum @ c_Empty @ c_Empty)))) & ! [X14,X15] : ((X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X15)))))) @ (^[Y0 : $i]: (X14)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) = X14) & ! [X16,X17] : ((X3 @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))) @ (c_Inj1 @ X17)))) @ (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (Y1)))) @ X16))) = (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X17)))) @ (c_setsum @ c_Empty @ c_Empty))))) => (! [X6 : $i > $i,X5 : $i > $i,X4 : $i > ($i > $i > $i) > $i] : ((c_setsum @ (X5 @ (X6 @ (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: (sK10 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))) @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i > $i > $i]: (c_Empty)))) @ (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ (sK12 @ (^[Y0 : $i]: (X5 @ c_Empty)) @ (X6 @ (X4 @ (sK12 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))))) = (sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X5 @ (sK11 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (sK10 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ (^[Y4 : $i > $i > $i]: (sK9 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i]: (c_Empty)))))))) @ (c_Inj0 @ (sK10 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))))) @ (sK9 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ (^[Y0 : $i]: (c_Empty))))) & ! [X8 : ($i > $i) > ($i > $i) > $i,X7] : ((X8 @ (^[Y0 : $i]: (c_setsum @ (sK11 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (sK9 @ (^[Y1 : $i]: (sK11 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (c_Empty)))) @ c_Empty)) @ (^[Y1 : $i]: (sK12 @ (^[Y2 : $i]: (c_Empty)) @ c_Empty)))) @ (sK11 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (sK11 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ (sK11 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ c_Empty))))) @ (^[Y0 : $i]: (c_Inj1 @ (sK12 @ (^[Y1 : $i]: (X8 @ (^[Y2 : $i]: (sK12 @ (^[Y3 : $i]: (c_Empty)) @ c_Empty)) @ (^[Y2 : $i]: (c_Inj1 @ c_Empty)))) @ X7)))) = (sK12 @ (^[Y0 : $i]: (X8 @ (^[Y1 : $i]: (c_setsum @ Y1 @ Y0)) @ (^[Y1 : $i]: (c_Empty)))) @ c_Empty)) & ! [X10,X9] : ((c_setsum @ (sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (c_Empty)))) @ (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK9 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))))))) @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ c_Empty) = (sK9 @ (^[Y0 : $i]: (X10)) @ (^[Y0 : $i]: (X9)))) & ! [X11] : ((sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X11)))) @ c_Empty) = X11) & ! [X13 : $i > $i,X12] : ((X13 @ X12) = (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK12 @ (^[Y3 : $i]: (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ Y3))) @ (c_Inj1 @ c_Empty))))))) @ (^[Y0 : $i]: (X13 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) & (c_False != $true) & ((c_Inj1 @ c_Empty) = (sK9 @ (^[Y0 : $i]: (c_Inj1 @ c_Empty)) @ (^[Y0 : $i]: (c_setsum @ c_Empty @ c_Empty)))) & ! [X15,X14] : ((sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X15)))))) @ (^[Y0 : $i]: (X14)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) = X14) & ! [X17,X16] : ((c_Inj0 @ (sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X17)))) @ (c_setsum @ c_Empty @ c_Empty))) = (sK12 @ (^[Y0 : $i]: (c_Inj1 @ (sK12 @ (^[Y1 : $i]: (c_Inj0 @ (sK10 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))) @ (c_Inj1 @ X17)))) @ (c_Inj0 @ (sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (Y1)))) @ X16)))))),
% 13.52/2.10 introduced(choice_axiom,[])).
% 13.52/2.10 thf(f319,plain,(
% 13.52/2.10 ? [X0 : ($i > $i) > ($i > $i) > $i,X1 : ($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i,X2 : ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i,X3 : ($i > $i) > $i > $i] : (! [X4 : $i > ($i > $i > $i) > $i,X5 : $i > $i,X6 : $i > $i] : ((c_setsum @ (X5 @ (X6 @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: (X1 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))) @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i > $i > $i]: (c_Empty)))) @ (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ (X3 @ (^[Y0 : $i]: (X5 @ c_Empty)) @ (X6 @ (X4 @ (X3 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))))) = (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X5 @ (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (X1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ (^[Y4 : $i > $i > $i]: (X0 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i]: (c_Empty)))))))) @ (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))))) @ (X0 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ (^[Y0 : $i]: (c_Empty))))) & ! [X7,X8 : ($i > $i) > ($i > $i) > $i] : ((X3 @ (^[Y0 : $i]: (X8 @ (^[Y1 : $i]: (c_setsum @ Y1 @ Y0)) @ (^[Y1 : $i]: (c_Empty)))) @ c_Empty) = (X8 @ (^[Y0 : $i]: (c_setsum @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X0 @ (^[Y1 : $i]: (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (c_Empty)))) @ c_Empty)) @ (^[Y1 : $i]: (X3 @ (^[Y2 : $i]: (c_Empty)) @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ c_Empty))))) @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (X8 @ (^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (c_Empty)) @ c_Empty)) @ (^[Y2 : $i]: (c_Inj1 @ c_Empty)))) @ X7))))) & ! [X9,X10] : ((c_setsum @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (c_Empty)))) @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))))))) @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ c_Empty) = (X0 @ (^[Y0 : $i]: (X10)) @ (^[Y0 : $i]: (X9)))) & ! [X11] : ((X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X11)))) @ c_Empty) = X11) & ! [X12,X13 : $i > $i] : ((X13 @ X12) = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ Y3))) @ (c_Inj1 @ c_Empty))))))) @ (^[Y0 : $i]: (X13 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) & (c_False != $true) & ((c_Inj1 @ c_Empty) = (X0 @ (^[Y0 : $i]: (c_Inj1 @ c_Empty)) @ (^[Y0 : $i]: (c_setsum @ c_Empty @ c_Empty)))) & ! [X14,X15] : ((X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X15)))))) @ (^[Y0 : $i]: (X14)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) = X14) & ! [X16,X17] : ((X3 @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))) @ (c_Inj1 @ X17)))) @ (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (Y1)))) @ X16))) = (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X17)))) @ (c_setsum @ c_Empty @ c_Empty)))))),
% 13.52/2.10 inference(rectify,[],[f291])).
% 13.52/2.10 thf(f291,plain,(
% 13.52/2.10 ? [X0 : ($i > $i) > ($i > $i) > $i,X1 : ($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i,X2 : ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i,X3 : ($i > $i) > $i > $i] : (! [X7 : $i > ($i > $i > $i) > $i,X8 : $i > $i,X9 : $i > $i] : ((c_setsum @ (X8 @ (X9 @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: (X1 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))) @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i > $i > $i]: (c_Empty)))) @ (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ (X3 @ (^[Y0 : $i]: (X8 @ c_Empty)) @ (X9 @ (X7 @ (X3 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))))) = (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X8 @ (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (X1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ (^[Y4 : $i > $i > $i]: (X0 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i]: (c_Empty)))))))) @ (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))))) @ (X0 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ (^[Y0 : $i]: (c_Empty))))) & ! [X12,X13 : ($i > $i) > ($i > $i) > $i] : ((X3 @ (^[Y0 : $i]: (X13 @ (^[Y1 : $i]: (c_setsum @ Y1 @ Y0)) @ (^[Y1 : $i]: (c_Empty)))) @ c_Empty) = (X13 @ (^[Y0 : $i]: (c_setsum @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X0 @ (^[Y1 : $i]: (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (c_Empty)))) @ c_Empty)) @ (^[Y1 : $i]: (X3 @ (^[Y2 : $i]: (c_Empty)) @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ c_Empty))))) @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (X13 @ (^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (c_Empty)) @ c_Empty)) @ (^[Y2 : $i]: (c_Inj1 @ c_Empty)))) @ X12))))) & ! [X4,X5] : ((c_setsum @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (c_Empty)))) @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))))))) @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ c_Empty) = (X0 @ (^[Y0 : $i]: (X5)) @ (^[Y0 : $i]: (X4)))) & ! [X6] : ((X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X6)))) @ c_Empty) = X6) & ! [X16,X17 : $i > $i] : ((X17 @ X16) = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ Y3))) @ (c_Inj1 @ c_Empty))))))) @ (^[Y0 : $i]: (X17 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) & (c_False != $true) & ((c_Inj1 @ c_Empty) = (X0 @ (^[Y0 : $i]: (c_Inj1 @ c_Empty)) @ (^[Y0 : $i]: (c_setsum @ c_Empty @ c_Empty)))) & ! [X14,X15] : ((X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X15)))))) @ (^[Y0 : $i]: (X14)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) = X14) & ! [X10,X11] : ((X3 @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))) @ (c_Inj1 @ X11)))) @ (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (Y1)))) @ X10))) = (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X11)))) @ (c_setsum @ c_Empty @ c_Empty)))))),
% 13.52/2.10 inference(flattening,[],[f290])).
% 13.52/2.10 thf(f290,plain,(
% 13.52/2.10 ? [X0 : ($i > $i) > ($i > $i) > $i,X1 : ($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i,X2 : ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i,X3 : ($i > $i) > $i > $i] : (((((((((c_False != $true) & ! [X16,X17 : $i > $i] : ((X17 @ X16) = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ Y3))) @ (c_Inj1 @ c_Empty))))))) @ (^[Y0 : $i]: (X17 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))))) & ! [X14,X15] : ((X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X15)))))) @ (^[Y0 : $i]: (X14)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) = X14)) & ! [X12,X13 : ($i > $i) > ($i > $i) > $i] : ((X3 @ (^[Y0 : $i]: (X13 @ (^[Y1 : $i]: (c_setsum @ Y1 @ Y0)) @ (^[Y1 : $i]: (c_Empty)))) @ c_Empty) = (X13 @ (^[Y0 : $i]: (c_setsum @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X0 @ (^[Y1 : $i]: (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (c_Empty)))) @ c_Empty)) @ (^[Y1 : $i]: (X3 @ (^[Y2 : $i]: (c_Empty)) @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ c_Empty))))) @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (X13 @ (^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (c_Empty)) @ c_Empty)) @ (^[Y2 : $i]: (c_Inj1 @ c_Empty)))) @ X12)))))) & ! [X10,X11] : ((X3 @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))) @ (c_Inj1 @ X11)))) @ (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (Y1)))) @ X10))) = (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X11)))) @ (c_setsum @ c_Empty @ c_Empty))))) & ! [X7 : $i > ($i > $i > $i) > $i,X8 : $i > $i,X9 : $i > $i] : ((c_setsum @ (X8 @ (X9 @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: (X1 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))) @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i > $i > $i]: (c_Empty)))) @ (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ (X3 @ (^[Y0 : $i]: (X8 @ c_Empty)) @ (X9 @ (X7 @ (X3 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))))) = (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X8 @ (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (X1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ (^[Y4 : $i > $i > $i]: (X0 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i]: (c_Empty)))))))) @ (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))))) @ (X0 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ (^[Y0 : $i]: (c_Empty)))))) & ! [X6] : ((X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X6)))) @ c_Empty) = X6)) & ! [X4,X5] : ((c_setsum @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (c_Empty)))) @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))))))) @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ c_Empty) = (X0 @ (^[Y0 : $i]: (X5)) @ (^[Y0 : $i]: (X4))))) & ((c_Inj1 @ c_Empty) = (X0 @ (^[Y0 : $i]: (c_Inj1 @ c_Empty)) @ (^[Y0 : $i]: (c_setsum @ c_Empty @ c_Empty)))))),
% 13.52/2.10 inference(ennf_transformation,[],[f288])).
% 13.52/2.10 thf(f288,plain,(
% 13.52/2.10 ~! [X0 : ($i > $i) > ($i > $i) > $i,X1 : ($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i,X2 : ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i,X3 : ($i > $i) > $i > $i] : (((c_Inj1 @ c_Empty) = (X0 @ (^[Y0 : $i]: (c_Inj1 @ c_Empty)) @ (^[Y0 : $i]: (c_setsum @ c_Empty @ c_Empty)))) => (! [X4,X5] : ((c_setsum @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (c_Empty)))) @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))))))) @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ c_Empty) = (X0 @ (^[Y0 : $i]: (X5)) @ (^[Y0 : $i]: (X4)))) => (! [X6] : ((X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X6)))) @ c_Empty) = X6) => (! [X7 : $i > ($i > $i > $i) > $i,X8 : $i > $i,X9 : $i > $i] : ((c_setsum @ (X8 @ (X9 @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: (X1 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))) @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i > $i > $i]: (c_Empty)))) @ (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ (X3 @ (^[Y0 : $i]: (X8 @ c_Empty)) @ (X9 @ (X7 @ (X3 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))))) = (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X8 @ (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (X1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ (^[Y4 : $i > $i > $i]: (X0 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i]: (c_Empty)))))))) @ (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))))) @ (X0 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ (^[Y0 : $i]: (c_Empty))))) => (! [X10,X11] : ((X3 @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))) @ (c_Inj1 @ X11)))) @ (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (Y1)))) @ X10))) = (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X11)))) @ (c_setsum @ c_Empty @ c_Empty)))) => (! [X12,X13 : ($i > $i) > ($i > $i) > $i] : ((X3 @ (^[Y0 : $i]: (X13 @ (^[Y1 : $i]: (c_setsum @ Y1 @ Y0)) @ (^[Y1 : $i]: (c_Empty)))) @ c_Empty) = (X13 @ (^[Y0 : $i]: (c_setsum @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X0 @ (^[Y1 : $i]: (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (c_Empty)))) @ c_Empty)) @ (^[Y1 : $i]: (X3 @ (^[Y2 : $i]: (c_Empty)) @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ c_Empty))))) @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (X13 @ (^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (c_Empty)) @ c_Empty)) @ (^[Y2 : $i]: (c_Inj1 @ c_Empty)))) @ X12))))) => (! [X14,X15] : ((X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X15)))))) @ (^[Y0 : $i]: (X14)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) = X14) => (! [X16,X17 : $i > $i] : ((X17 @ X16) = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ Y3))) @ (c_Inj1 @ c_Empty))))))) @ (^[Y0 : $i]: (X17 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) => (c_False = $true)))))))))),
% 13.52/2.10 inference(rectify,[],[f156])).
% 13.52/2.10 thf(f156,plain,(
% 13.52/2.10 ~! [X0 : ($i > $i) > ($i > $i) > $i,X1 : ($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i,X2 : ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i,X3 : ($i > $i) > $i > $i] : (((c_Inj1 @ c_Empty) = (X0 @ (^[Y0 : $i]: (c_Inj1 @ c_Empty)) @ (^[Y0 : $i]: (c_setsum @ c_Empty @ c_Empty)))) => (! [X10,X13] : ((c_setsum @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (c_Empty)))) @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))))))) @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ c_Empty) = (X0 @ (^[Y0 : $i]: (X13)) @ (^[Y0 : $i]: (X10)))) => (! [X26] : ((X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X26)))) @ c_Empty) = X26) => (! [X31 : $i > ($i > $i > $i) > $i,X32 : $i > $i,X34 : $i > $i] : ((X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X32 @ (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (X1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ (^[Y4 : $i > $i > $i]: (X0 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i]: (c_Empty)))))))) @ (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))))) @ (X0 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ (^[Y0 : $i]: (c_Empty)))) = (c_setsum @ (X32 @ (X34 @ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: (X1 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))) @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i > $i > $i]: (c_Empty)))) @ (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ (X3 @ (^[Y0 : $i]: (X32 @ c_Empty)) @ (X34 @ (X31 @ (X3 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty))))))))) => (! [X67,X69] : ((X3 @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (c_Inj0 @ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))) @ (c_Inj1 @ X69)))) @ (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (Y1)))) @ X67))) = (c_Inj0 @ (X2 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X69)))) @ (c_setsum @ c_Empty @ c_Empty)))) => (! [X83,X85 : ($i > $i) > ($i > $i) > $i] : ((X85 @ (^[Y0 : $i]: (c_setsum @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X0 @ (^[Y1 : $i]: (X2 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (c_Empty)))) @ c_Empty)) @ (^[Y1 : $i]: (X3 @ (^[Y2 : $i]: (c_Empty)) @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ (X2 @ (^[Y1 : ($i > $i > $i > $i) > $i]: ((^[Y2 : $i]: (c_Empty)))) @ c_Empty))))) @ (^[Y0 : $i]: (c_Inj1 @ (X3 @ (^[Y1 : $i]: (X85 @ (^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (c_Empty)) @ c_Empty)) @ (^[Y2 : $i]: (c_Inj1 @ c_Empty)))) @ X83)))) = (X3 @ (^[Y0 : $i]: (X85 @ (^[Y1 : $i]: (c_setsum @ Y1 @ Y0)) @ (^[Y1 : $i]: (c_Empty)))) @ c_Empty)) => (! [X108,X110] : ((X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X110)))))) @ (^[Y0 : $i]: (X108)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) = X108) => (! [X117,X118 : $i > $i] : ((X118 @ X117) = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X3 @ (^[Y3 : $i]: (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (X2 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ Y3))) @ (c_Inj1 @ c_Empty))))))) @ (^[Y0 : $i]: (X118 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) => (c_False = $true)))))))))),
% 13.52/2.10 inference(fool_elimination,[],[f155])).
% 13.52/2.10 thf(f155,plain,(
% 13.52/2.10 ~! [X0 : ($i > $i) > ($i > $i) > $i,X1 : ($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i,X2 : ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i,X3 : ($i > $i) > $i > $i] : (((c_Inj1 @ c_Empty) = (X0 @ (^[X8 : $i] : (c_Inj1 @ c_Empty)) @ (^[X9 : $i] : (c_setsum @ c_Empty @ c_Empty)))) => (! [X10,X13] : ((c_setsum @ (X2 @ (^[X14 : ($i > $i > $i > $i) > $i, X15 : $i] : (c_Empty)) @ (X1 @ (^[X16 : $i, X17 : $i, X18 : $i] : (X0 @ (^[X19 : $i] : (X18)) @ (^[X20 : $i] : (c_Empty)))) @ (^[X21 : $i] : (c_Empty)) @ (^[X22 : $i > $i > $i] : (c_Empty)))) @ c_Empty) = (X0 @ (^[X23 : $i] : (X13)) @ (^[X24 : $i] : (X10)))) => (! [X26] : ((X2 @ (^[X29 : ($i > $i > $i > $i) > $i, X30 : $i] : (X26)) @ c_Empty) = X26) => (! [X31 : $i > ($i > $i > $i) > $i,X32 : $i > $i,X34 : $i > $i] : ((X2 @ (^[X35 : ($i > $i > $i > $i) > $i, X36 : $i] : (X32 @ (X2 @ (^[X37 : ($i > $i > $i > $i) > $i, X38 : $i] : (X1 @ (^[X39 : $i, X40 : $i, X41 : $i] : (c_Inj1 @ c_Empty)) @ (^[X42 : $i] : (c_Inj0 @ c_Empty)) @ (^[X43 : $i > $i > $i] : (X0 @ (^[X44 : $i] : (c_Empty)) @ (^[X45 : $i] : (c_Empty)))))) @ (c_Inj0 @ (X1 @ (^[X46 : $i, X47 : $i, X48 : $i] : (c_Empty)) @ (^[X49 : $i] : (c_Empty)) @ (^[X50 : $i > $i > $i] : (c_Empty))))))) @ (X0 @ (^[X51 : $i] : (c_setsum @ X51 @ c_Empty)) @ (^[X52 : $i] : (c_Empty)))) = (c_setsum @ (X32 @ (X34 @ (X1 @ (^[X53 : $i, X54 : $i, X55 : $i] : (c_Inj1 @ c_Empty)) @ (^[X56 : $i] : (X1 @ (^[X57 : $i, X58 : $i, X59 : $i] : (c_Empty)) @ (^[X60 : $i] : (c_Empty)) @ (^[X61 : $i > $i > $i] : (c_Empty)))) @ (^[X62 : $i > $i > $i] : (c_setsum @ c_Empty @ c_Empty))))) @ (X3 @ (^[X63 : $i] : (X32 @ c_Empty)) @ (X34 @ (X31 @ (X3 @ (^[X64 : $i] : (c_Empty)) @ c_Empty) @ (^[X65 : $i, X66 : $i] : (c_Empty))))))) => (! [X67,X69] : ((c_Inj0 @ (X2 @ (^[X71 : ($i > $i > $i > $i) > $i, X72 : $i] : (X69)) @ (c_setsum @ c_Empty @ c_Empty))) = (X3 @ (^[X73 : $i] : (c_Inj1 @ (X3 @ (^[X74 : $i] : (c_Inj0 @ (X1 @ (^[X75 : $i, X76 : $i, X77 : $i] : (c_Empty)) @ (^[X78 : $i] : (c_Empty)) @ (^[X79 : $i > $i > $i] : (c_Empty))))) @ (c_Inj1 @ X69)))) @ (c_Inj0 @ (X2 @ (^[X80 : ($i > $i > $i > $i) > $i, X81 : $i] : (X81)) @ X67)))) => (! [X83,X85 : ($i > $i) > ($i > $i) > $i] : ((X85 @ (^[X86 : $i] : (c_setsum @ (X2 @ (^[X87 : ($i > $i > $i > $i) > $i, X88 : $i] : (c_Empty)) @ (X0 @ (^[X89 : $i] : (X2 @ (^[X90 : ($i > $i > $i > $i) > $i, X91 : $i] : (c_Empty)) @ c_Empty)) @ (^[X92 : $i] : (X3 @ (^[X93 : $i] : (c_Empty)) @ c_Empty)))) @ (X2 @ (^[X94 : ($i > $i > $i > $i) > $i, X95 : $i] : (c_Empty)) @ (X2 @ (^[X96 : ($i > $i > $i > $i) > $i, X97 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ (X2 @ (^[X98 : ($i > $i > $i > $i) > $i, X99 : $i] : (c_Empty)) @ c_Empty))))) @ (^[X100 : $i] : (c_Inj1 @ (X3 @ (^[X101 : $i] : (X85 @ (^[X102 : $i] : (X3 @ (^[X103 : $i] : (c_Empty)) @ c_Empty)) @ (^[X104 : $i] : (c_Inj1 @ c_Empty)))) @ X83)))) = (X3 @ (^[X105 : $i] : (X85 @ (^[X106 : $i] : (c_setsum @ X106 @ X105)) @ (^[X107 : $i] : (c_Empty)))) @ c_Empty)) => (! [X108,X110] : (X108 = (X1 @ (^[X112 : $i, X113 : $i, X114 : $i] : (X110)) @ (^[X115 : $i] : (X108)) @ (^[X116 : $i > $i > $i] : (c_Empty)))) => (! [X117,X118 : $i > $i] : ((X118 @ X117) = (X1 @ (^[X121 : $i, X122 : $i, X123 : $i] : (X3 @ (^[X124 : $i] : (X2 @ (^[X125 : ($i > $i > $i > $i) > $i, X126 : $i] : (X123)) @ (X2 @ (^[X127 : ($i > $i > $i > $i) > $i, X128 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ X124))) @ (c_Inj1 @ c_Empty))) @ (^[X129 : $i] : (X118 @ c_Empty)) @ (^[X130 : $i > $i > $i] : (c_Empty)))) => c_False))))))))),
% 13.52/2.10 inference(rectify,[],[f110])).
% 13.52/2.10 thf(f110,negated_conjecture,(
% 13.52/2.10 ~! [X3 : ($i > $i) > ($i > $i) > $i,X0 : ($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i,X2 : ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i,X1 : ($i > $i) > $i > $i] : (! [X4 : $i > (($i > $i) > $i) > $i,X7,X5 : ($i > $i) > $i,X6 : (($i > $i > $i) > ($i > $i) > $i) > $i] : ((c_Inj1 @ c_Empty) = (X3 @ (^[X8 : $i] : (c_Inj1 @ c_Empty)) @ (^[X8 : $i] : (c_setsum @ c_Empty @ c_Empty)))) => (! [X7,X5,X4,X6] : ((c_setsum @ (X2 @ (^[X8 : ($i > $i > $i > $i) > $i, X9 : $i] : (c_Empty)) @ (X0 @ (^[X8 : $i, X9 : $i, X10 : $i] : (X3 @ (^[X11 : $i] : (X10)) @ (^[X11 : $i] : (c_Empty)))) @ (^[X8 : $i] : (c_Empty)) @ (^[X8 : $i > $i > $i] : (c_Empty)))) @ c_Empty) = (X3 @ (^[X8 : $i] : (X6)) @ (^[X8 : $i] : (X7)))) => (! [X6 : $i > $i,X7,X4 : $i > $i,X5 : $i > $i > $i] : ((X2 @ (^[X8 : ($i > $i > $i > $i) > $i, X9 : $i] : (X7)) @ c_Empty) = X7) => (! [X4 : $i > ($i > $i > $i) > $i,X7 : $i > $i,X6 : ((($i > $i) > $i) > $i) > $i,X5 : $i > $i] : ((X2 @ (^[X8 : ($i > $i > $i > $i) > $i, X9 : $i] : (X7 @ (X2 @ (^[X10 : ($i > $i > $i > $i) > $i, X11 : $i] : (X0 @ (^[X12 : $i, X13 : $i, X14 : $i] : (c_Inj1 @ c_Empty)) @ (^[X12 : $i] : (c_Inj0 @ c_Empty)) @ (^[X12 : $i > $i > $i] : (X3 @ (^[X13 : $i] : (c_Empty)) @ (^[X13 : $i] : (c_Empty)))))) @ (c_Inj0 @ (X0 @ (^[X10 : $i, X11 : $i, X12 : $i] : (c_Empty)) @ (^[X10 : $i] : (c_Empty)) @ (^[X10 : $i > $i > $i] : (c_Empty))))))) @ (X3 @ (^[X8 : $i] : (c_setsum @ X8 @ c_Empty)) @ (^[X8 : $i] : (c_Empty)))) = (c_setsum @ (X7 @ (X5 @ (X0 @ (^[X8 : $i, X9 : $i, X10 : $i] : (c_Inj1 @ c_Empty)) @ (^[X8 : $i] : (X0 @ (^[X9 : $i, X10 : $i, X11 : $i] : (c_Empty)) @ (^[X9 : $i] : (c_Empty)) @ (^[X9 : $i > $i > $i] : (c_Empty)))) @ (^[X8 : $i > $i > $i] : (c_setsum @ c_Empty @ c_Empty))))) @ (X1 @ (^[X8 : $i] : (X7 @ c_Empty)) @ (X5 @ (X4 @ (X1 @ (^[X8 : $i] : (c_Empty)) @ c_Empty) @ (^[X8 : $i, X9 : $i] : (c_Empty))))))) => (! [X5,X4 : (($i > $i) > $i > $i) > $i,X7,X6] : ((c_Inj0 @ (X2 @ (^[X8 : ($i > $i > $i > $i) > $i, X9 : $i] : (X7)) @ (c_setsum @ c_Empty @ c_Empty))) = (X1 @ (^[X8 : $i] : (c_Inj1 @ (X1 @ (^[X9 : $i] : (c_Inj0 @ (X0 @ (^[X10 : $i, X11 : $i, X12 : $i] : (c_Empty)) @ (^[X10 : $i] : (c_Empty)) @ (^[X10 : $i > $i > $i] : (c_Empty))))) @ (c_Inj1 @ X7)))) @ (c_Inj0 @ (X2 @ (^[X8 : ($i > $i > $i > $i) > $i, X9 : $i] : (X9)) @ X5)))) => (! [X5 : $i > $i > ($i > $i) > $i,X6,X4 : (($i > $i) > $i) > $i,X7 : ($i > $i) > ($i > $i) > $i] : ((X7 @ (^[X8 : $i] : (c_setsum @ (X2 @ (^[X9 : ($i > $i > $i > $i) > $i, X10 : $i] : (c_Empty)) @ (X3 @ (^[X9 : $i] : (X2 @ (^[X10 : ($i > $i > $i > $i) > $i, X11 : $i] : (c_Empty)) @ c_Empty)) @ (^[X9 : $i] : (X1 @ (^[X10 : $i] : (c_Empty)) @ c_Empty)))) @ (X2 @ (^[X9 : ($i > $i > $i > $i) > $i, X10 : $i] : (c_Empty)) @ (X2 @ (^[X9 : ($i > $i > $i > $i) > $i, X10 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ (X2 @ (^[X9 : ($i > $i > $i > $i) > $i, X10 : $i] : (c_Empty)) @ c_Empty))))) @ (^[X8 : $i] : (c_Inj1 @ (X1 @ (^[X9 : $i] : (X7 @ (^[X10 : $i] : (X1 @ (^[X11 : $i] : (c_Empty)) @ c_Empty)) @ (^[X10 : $i] : (c_Inj1 @ c_Empty)))) @ X6)))) = (X1 @ (^[X8 : $i] : (X7 @ (^[X9 : $i] : (c_setsum @ X9 @ X8)) @ (^[X9 : $i] : (c_Empty)))) @ c_Empty)) => (! [X6,X4 : $i > (($i > $i) > $i > $i) > $i,X7,X5] : (X6 = (X0 @ (^[X8 : $i, X9 : $i, X10 : $i] : (X7)) @ (^[X8 : $i] : (X6)) @ (^[X8 : $i > $i > $i] : (c_Empty)))) => (! [X4,X7 : $i > $i,X6 : $i > ($i > $i) > $i,X5] : ((X7 @ X4) = (X0 @ (^[X8 : $i, X9 : $i, X10 : $i] : (X1 @ (^[X11 : $i] : (X2 @ (^[X12 : ($i > $i > $i > $i) > $i, X13 : $i] : (X10)) @ (X2 @ (^[X12 : ($i > $i > $i > $i) > $i, X13 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ X11))) @ (c_Inj1 @ c_Empty))) @ (^[X8 : $i] : (X7 @ c_Empty)) @ (^[X8 : $i > $i > $i] : (c_Empty)))) => c_False))))))))),
% 13.52/2.10 inference(negated_conjecture,[],[f109])).
% 13.52/2.10 thf(f109,conjecture,(
% 13.52/2.10 ! [X3 : ($i > $i) > ($i > $i) > $i,X0 : ($i > $i > $i > $i) > ($i > $i) > (($i > $i > $i) > $i) > $i,X2 : ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i,X1 : ($i > $i) > $i > $i] : (! [X4 : $i > (($i > $i) > $i) > $i,X7,X5 : ($i > $i) > $i,X6 : (($i > $i > $i) > ($i > $i) > $i) > $i] : ((c_Inj1 @ c_Empty) = (X3 @ (^[X8 : $i] : (c_Inj1 @ c_Empty)) @ (^[X8 : $i] : (c_setsum @ c_Empty @ c_Empty)))) => (! [X7,X5,X4,X6] : ((c_setsum @ (X2 @ (^[X8 : ($i > $i > $i > $i) > $i, X9 : $i] : (c_Empty)) @ (X0 @ (^[X8 : $i, X9 : $i, X10 : $i] : (X3 @ (^[X11 : $i] : (X10)) @ (^[X11 : $i] : (c_Empty)))) @ (^[X8 : $i] : (c_Empty)) @ (^[X8 : $i > $i > $i] : (c_Empty)))) @ c_Empty) = (X3 @ (^[X8 : $i] : (X6)) @ (^[X8 : $i] : (X7)))) => (! [X6 : $i > $i,X7,X4 : $i > $i,X5 : $i > $i > $i] : ((X2 @ (^[X8 : ($i > $i > $i > $i) > $i, X9 : $i] : (X7)) @ c_Empty) = X7) => (! [X4 : $i > ($i > $i > $i) > $i,X7 : $i > $i,X6 : ((($i > $i) > $i) > $i) > $i,X5 : $i > $i] : ((X2 @ (^[X8 : ($i > $i > $i > $i) > $i, X9 : $i] : (X7 @ (X2 @ (^[X10 : ($i > $i > $i > $i) > $i, X11 : $i] : (X0 @ (^[X12 : $i, X13 : $i, X14 : $i] : (c_Inj1 @ c_Empty)) @ (^[X12 : $i] : (c_Inj0 @ c_Empty)) @ (^[X12 : $i > $i > $i] : (X3 @ (^[X13 : $i] : (c_Empty)) @ (^[X13 : $i] : (c_Empty)))))) @ (c_Inj0 @ (X0 @ (^[X10 : $i, X11 : $i, X12 : $i] : (c_Empty)) @ (^[X10 : $i] : (c_Empty)) @ (^[X10 : $i > $i > $i] : (c_Empty))))))) @ (X3 @ (^[X8 : $i] : (c_setsum @ X8 @ c_Empty)) @ (^[X8 : $i] : (c_Empty)))) = (c_setsum @ (X7 @ (X5 @ (X0 @ (^[X8 : $i, X9 : $i, X10 : $i] : (c_Inj1 @ c_Empty)) @ (^[X8 : $i] : (X0 @ (^[X9 : $i, X10 : $i, X11 : $i] : (c_Empty)) @ (^[X9 : $i] : (c_Empty)) @ (^[X9 : $i > $i > $i] : (c_Empty)))) @ (^[X8 : $i > $i > $i] : (c_setsum @ c_Empty @ c_Empty))))) @ (X1 @ (^[X8 : $i] : (X7 @ c_Empty)) @ (X5 @ (X4 @ (X1 @ (^[X8 : $i] : (c_Empty)) @ c_Empty) @ (^[X8 : $i, X9 : $i] : (c_Empty))))))) => (! [X5,X4 : (($i > $i) > $i > $i) > $i,X7,X6] : ((c_Inj0 @ (X2 @ (^[X8 : ($i > $i > $i > $i) > $i, X9 : $i] : (X7)) @ (c_setsum @ c_Empty @ c_Empty))) = (X1 @ (^[X8 : $i] : (c_Inj1 @ (X1 @ (^[X9 : $i] : (c_Inj0 @ (X0 @ (^[X10 : $i, X11 : $i, X12 : $i] : (c_Empty)) @ (^[X10 : $i] : (c_Empty)) @ (^[X10 : $i > $i > $i] : (c_Empty))))) @ (c_Inj1 @ X7)))) @ (c_Inj0 @ (X2 @ (^[X8 : ($i > $i > $i > $i) > $i, X9 : $i] : (X9)) @ X5)))) => (! [X5 : $i > $i > ($i > $i) > $i,X6,X4 : (($i > $i) > $i) > $i,X7 : ($i > $i) > ($i > $i) > $i] : ((X7 @ (^[X8 : $i] : (c_setsum @ (X2 @ (^[X9 : ($i > $i > $i > $i) > $i, X10 : $i] : (c_Empty)) @ (X3 @ (^[X9 : $i] : (X2 @ (^[X10 : ($i > $i > $i > $i) > $i, X11 : $i] : (c_Empty)) @ c_Empty)) @ (^[X9 : $i] : (X1 @ (^[X10 : $i] : (c_Empty)) @ c_Empty)))) @ (X2 @ (^[X9 : ($i > $i > $i > $i) > $i, X10 : $i] : (c_Empty)) @ (X2 @ (^[X9 : ($i > $i > $i > $i) > $i, X10 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ (X2 @ (^[X9 : ($i > $i > $i > $i) > $i, X10 : $i] : (c_Empty)) @ c_Empty))))) @ (^[X8 : $i] : (c_Inj1 @ (X1 @ (^[X9 : $i] : (X7 @ (^[X10 : $i] : (X1 @ (^[X11 : $i] : (c_Empty)) @ c_Empty)) @ (^[X10 : $i] : (c_Inj1 @ c_Empty)))) @ X6)))) = (X1 @ (^[X8 : $i] : (X7 @ (^[X9 : $i] : (c_setsum @ X9 @ X8)) @ (^[X9 : $i] : (c_Empty)))) @ c_Empty)) => (! [X6,X4 : $i > (($i > $i) > $i > $i) > $i,X7,X5] : (X6 = (X0 @ (^[X8 : $i, X9 : $i, X10 : $i] : (X7)) @ (^[X8 : $i] : (X6)) @ (^[X8 : $i > $i > $i] : (c_Empty)))) => (! [X4,X7 : $i > $i,X6 : $i > ($i > $i) > $i,X5] : ((X7 @ X4) = (X0 @ (^[X8 : $i, X9 : $i, X10 : $i] : (X1 @ (^[X11 : $i] : (X2 @ (^[X12 : ($i > $i > $i > $i) > $i, X13 : $i] : (X10)) @ (X2 @ (^[X12 : ($i > $i > $i > $i) > $i, X13 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ X11))) @ (c_Inj1 @ c_Empty))) @ (^[X8 : $i] : (X7 @ c_Empty)) @ (^[X8 : $i > $i > $i] : (c_Empty)))) => c_False))))))))),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 13.52/2.10 thf(f647,plain,(
% 13.52/2.10 ( ! [X2 : $i,X0 : $i > $i,X1 : $i] : (((X0 @ X2) = (X0 @ X1))) )),
% 13.52/2.10 inference(superposition,[],[f523,f523])).
% 13.52/2.10 thf(f523,plain,(
% 13.52/2.10 ( ! [X12 : $i,X13 : $i > $i] : (((X13 @ X12) = (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK12 @ (^[Y3 : $i]: (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $o @ (^[Y9 : $o]: (((c_In @ c_Empty @ Y6) => (((c_Repl @ c_Empty @ (^[Y10 : $i]: (c_Repl @ Y10 @ (^[Y11 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y12 : $i]: ((^[Y13 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: (!! @ $o @ (^[Y16 : $o]: (((!! @ $o @ (^[Y17 : $o]: (((c_In @ c_Empty @ Y14) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y18 : $i]: (c_Eps_i @ (^[Y19 : $i]: (!! @ $o @ (^[Y20 : $o]: (((!! @ $o @ (^[Y21 : $o]: (((c_In @ c_Empty @ Y18) => ((c_Empty = Y19) => Y21)) => Y21))) => Y20) => (((!! @ $o @ (^[Y21 : $o]: ((((c_In @ c_Empty @ Y18) => (!! @ $o @ (^[Y22 : $o]: (Y22)))) => ((c_Empty = Y19) => Y21)) => Y21))) => Y20) => Y20)))))))) = Y15) => Y17)) => Y17))) => Y16) => (((!! @ $o @ (^[Y17 : $o]: ((((c_In @ c_Empty @ Y14) => (!! @ $o @ (^[Y18 : $o]: (Y18)))) => (((c_Repl @ Y12 @ Y13) = Y15) => Y17)) => Y17))) => Y16) => Y16)))))))))))) @ Y11)))))) = Y7) => Y9)) => Y9))) => Y8) => (((!! @ $o @ (^[Y9 : $o]: ((((c_In @ c_Empty @ Y6) => (!! @ $o @ (^[Y10 : $o]: (Y10)))) => (((c_Repl @ c_Empty @ (^[Y10 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y11 : $i]: ((^[Y12 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: (!! @ $o @ (^[Y15 : $o]: (((!! @ $o @ (^[Y16 : $o]: (((c_In @ c_Empty @ Y13) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y17 : $i]: (c_Eps_i @ (^[Y18 : $i]: (!! @ $o @ (^[Y19 : $o]: (((!! @ $o @ (^[Y20 : $o]: (((c_In @ c_Empty @ Y17) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => (((!! @ $o @ (^[Y20 : $o]: ((((c_In @ c_Empty @ Y17) => (!! @ $o @ (^[Y21 : $o]: (Y21)))) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => Y19)))))))) = Y14) => Y16)) => Y16))) => Y15) => (((!! @ $o @ (^[Y16 : $o]: ((((c_In @ c_Empty @ Y13) => (!! @ $o @ (^[Y17 : $o]: (Y17)))) => (((c_Repl @ Y11 @ Y12) = Y14) => Y16)) => Y16))) => Y15) => Y15)))))))))))) @ Y10)))) = Y7) => Y9)) => Y9))) => Y8) => Y8)))))))))))) @ Y3))) @ (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y3 : $i]: ((^[Y4 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $o @ (^[Y8 : $o]: (((c_In @ c_Empty @ Y5) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))) = Y6) => Y8)) => Y8))) => Y7) => (((!! @ $o @ (^[Y8 : $o]: ((((c_In @ c_Empty @ Y5) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => (((c_Repl @ Y3 @ Y4) = Y6) => Y8)) => Y8))) => Y7) => Y7)))))))))))) @ c_Empty)))))))) @ (^[Y0 : $i]: (X13 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))))) )),
% 13.52/2.10 inference(beta_eta_normalization,[],[f467])).
% 13.52/2.10 thf(f467,plain,(
% 13.52/2.10 ( ! [X12 : $i,X13 : $i > $i] : (((X13 @ X12) = (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK12 @ (^[Y3 : $i]: (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Union @ ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Eps_i @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => Y19) => ((Y18 => Y19) => Y19))))))) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ Y13 @ (Y14 = Y16)) @ ((^[Y17 : $o]: ((^[Y18 : $o]: (!! @ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ ((^[Y17 : $o]: (Y17 => (!! @ $o @ (^[Y18 : $o]: (Y18))))) @ Y13) @ (Y15 = Y16)))))))))) @ (c_In @ c_Empty @ Y12) @ Y10 @ Y11)))))) @ Y8 @ Y9))))) @ (c_Repl @ Y6 @ (^[Y8 : $i]: ((^[Y9 : $i]: (c_Repl @ Y9 @ (^[Y10 : $i]: ((^[Y11 : $i > ($i > $i) > $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: (c_In_rec_poly_G_i @ Y11 @ Y12 @ Y13)))))) @ (^[Y11 : $i]: ((^[Y12 : $i > $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Union @ ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $i]: ((^[Y20 : $i]: (c_Eps_i @ (^[Y21 : $i]: ((^[Y22 : $o]: ((^[Y23 : $o]: (!! @ $o @ (^[Y24 : $o]: ((Y22 => Y24) => ((Y23 => Y24) => Y24))))))) @ ((^[Y22 : $o]: ((^[Y23 : $o]: (!! @ $o @ (^[Y24 : $o]: ((Y22 => (Y23 => Y24)) => Y24)))))) @ Y18 @ (Y19 = Y21)) @ ((^[Y22 : $o]: ((^[Y23 : $o]: (!! @ $o @ (^[Y24 : $o]: ((Y22 => (Y23 => Y24)) => Y24)))))) @ ((^[Y22 : $o]: (Y22 => (!! @ $o @ (^[Y23 : $o]: (Y23))))) @ Y18) @ (Y20 = Y21)))))))))) @ (c_In @ c_Empty @ Y17) @ Y15 @ Y16)))))) @ Y13 @ Y14))))) @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $i]: ((^[Y19 : $i]: (c_Eps_i @ (^[Y20 : $i]: ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => Y23) => ((Y22 => Y23) => Y23))))))) @ ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => (Y22 => Y23)) => Y23)))))) @ Y17 @ (Y18 = Y20)) @ ((^[Y21 : $o]: ((^[Y22 : $o]: (!! @ $o @ (^[Y23 : $o]: ((Y21 => (Y22 => Y23)) => Y23)))))) @ ((^[Y21 : $o]: (Y21 => (!! @ $o @ (^[Y22 : $o]: (Y22))))) @ Y17) @ (Y19 = Y20)))))))))) @ (c_In @ c_Empty @ Y16) @ Y14 @ Y15)))))) @ Y13 @ Y13)) @ c_Empty) @ (c_Repl @ Y11 @ (^[Y13 : $i]: (Y12 @ Y13))))))) @ Y10)))) @ Y8))) @ (c_Repl @ Y7 @ (^[Y8 : $i]: ((^[Y9 : $i > ($i > $i) > $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: (c_In_rec_poly_G_i @ Y9 @ Y10 @ Y11)))))) @ (^[Y9 : $i]: ((^[Y10 : $i > $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Union @ ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $i]: ((^[Y18 : $i]: (c_Eps_i @ (^[Y19 : $i]: ((^[Y20 : $o]: ((^[Y21 : $o]: (!! @ $o @ (^[Y22 : $o]: ((Y20 => Y22) => ((Y21 => Y22) => Y22))))))) @ ((^[Y20 : $o]: ((^[Y21 : $o]: (!! @ $o @ (^[Y22 : $o]: ((Y20 => (Y21 => Y22)) => Y22)))))) @ Y16 @ (Y17 = Y19)) @ ((^[Y20 : $o]: ((^[Y21 : $o]: (!! @ $o @ (^[Y22 : $o]: ((Y20 => (Y21 => Y22)) => Y22)))))) @ ((^[Y20 : $o]: (Y20 => (!! @ $o @ (^[Y21 : $o]: (Y21))))) @ Y16) @ (Y18 = Y19)))))))))) @ (c_In @ c_Empty @ Y15) @ Y13 @ Y14)))))) @ Y11 @ Y12))))) @ ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y14 : $i]: ((^[Y15 : $o]: ((^[Y16 : $i]: ((^[Y17 : $i]: (c_Eps_i @ (^[Y18 : $i]: ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => Y21) => ((Y20 => Y21) => Y21))))))) @ ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => (Y20 => Y21)) => Y21)))))) @ Y15 @ (Y16 = Y18)) @ ((^[Y19 : $o]: ((^[Y20 : $o]: (!! @ $o @ (^[Y21 : $o]: ((Y19 => (Y20 => Y21)) => Y21)))))) @ ((^[Y19 : $o]: (Y19 => (!! @ $o @ (^[Y20 : $o]: (Y20))))) @ Y15) @ (Y17 = Y18)))))))))) @ (c_In @ c_Empty @ Y14) @ Y12 @ Y13)))))) @ Y11 @ Y11)) @ c_Empty) @ (c_Repl @ Y9 @ (^[Y11 : $i]: (Y10 @ Y11))))))) @ Y8))))))) @ c_Empty @ c_Empty)))) @ Y3))) @ ((^[Y3 : $i > ($i > $i) > $i]: ((^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: (c_In_rec_poly_G_i @ Y3 @ Y4 @ Y5)))))) @ (^[Y3 : $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Union @ ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => Y16) => ((Y15 => Y16) => Y16))))))) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ Y10 @ (Y11 = Y13)) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ ((^[Y14 : $o]: (Y14 => (!! @ $o @ (^[Y15 : $o]: (Y15))))) @ Y10) @ (Y12 = Y13)))))))))) @ (c_In @ c_Empty @ Y9) @ Y7 @ Y8)))))) @ Y5 @ Y6))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => (!! @ $o @ (^[Y14 : $o]: (Y14))))) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y5 @ Y5)) @ c_Empty) @ (c_Repl @ Y3 @ (^[Y5 : $i]: (Y4 @ Y5))))))) @ c_Empty))))))) @ (^[Y0 : $i]: (X13 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))))) )),
% 13.52/2.10 inference(definition_unfolding,[],[f394,f438,f434])).
% 13.52/2.10 thf(f434,plain,(
% 13.52/2.10 (c_Inj1 = ((^[Y0 : $i > ($i > $i) > $i]: ((^[Y1 : $i]: (c_Eps_i @ (^[Y2 : $i]: (c_In_rec_poly_G_i @ Y0 @ Y1 @ Y2)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Union @ ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => Y13) => ((Y12 => Y13) => Y13))))))) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ Y7 @ (Y8 = Y10)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ ((^[Y11 : $o]: (Y11 => (!! @ $o @ (^[Y12 : $o]: (Y12))))) @ Y7) @ (Y9 = Y10)))))))))) @ (c_In @ c_Empty @ Y6) @ Y4 @ Y5)))))) @ Y2 @ Y3))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => Y12) => ((Y11 => Y12) => Y12))))))) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => (!! @ $o @ (^[Y11 : $o]: (Y11))))) @ Y6) @ (Y8 = Y9)))))))))) @ (c_In @ c_Empty @ Y5) @ Y3 @ Y4)))))) @ Y2 @ Y2)) @ c_Empty) @ (c_Repl @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2)))))))))),
% 13.52/2.10 inference(definition_unfolding,[],[f340,f360,f424,f423])).
% 13.52/2.10 thf(f423,plain,(
% 13.52/2.10 (c_Sing = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => Y10) => ((Y9 => Y10) => Y10))))))) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => (!! @ $o @ (^[Y9 : $o]: (Y9))))) @ Y4) @ (Y6 = Y7)))))))))) @ (c_In @ c_Empty @ Y3) @ Y1 @ Y2)))))) @ Y0 @ Y0)))),
% 13.52/2.10 inference(definition_unfolding,[],[f376,f422])).
% 13.52/2.10 thf(f422,plain,(
% 13.52/2.10 (c_UPair = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => Y9) => ((Y8 => Y9) => Y9))))))) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ Y3 @ (Y4 = Y6)) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => (!! @ $o @ (^[Y8 : $o]: (Y8))))) @ Y3) @ (Y5 = Y6)))))))))) @ (c_In @ c_Empty @ Y2) @ Y0 @ Y1)))))))),
% 13.52/2.10 inference(definition_unfolding,[],[f329,f420])).
% 13.52/2.10 thf(f420,plain,(
% 13.52/2.10 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => Y6) => ((Y5 => Y6) => Y6))))))) @ ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ Y0 @ (Y1 = Y3)) @ ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $o]: (Y4 => (!! @ $o @ (^[Y5 : $o]: (Y5))))) @ Y0) @ (Y2 = Y3)))))))))))),
% 13.52/2.10 inference(definition_unfolding,[],[f341,f389,f327,f327,f408])).
% 13.52/2.10 thf(f327,plain,(
% 13.52/2.10 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))),
% 13.52/2.10 inference(cnf_transformation,[],[f165])).
% 13.52/2.10 thf(f165,plain,(
% 13.52/2.10 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))),
% 13.52/2.10 inference(fool_elimination,[],[f164])).
% 13.52/2.10 thf(f164,plain,(
% 13.52/2.10 ((^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))) = c_and)),
% 13.52/2.10 inference(rectify,[],[f14])).
% 13.52/2.10 thf(f14,axiom,(
% 13.52/2.10 ((^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))) = c_and)),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14)).
% 13.52/2.10 thf(f389,plain,(
% 13.52/2.10 (c_or = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => Y2) => ((Y1 => Y2) => Y2))))))))),
% 13.52/2.10 inference(cnf_transformation,[],[f126])).
% 13.52/2.10 thf(f126,plain,(
% 13.52/2.10 (c_or = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => Y2) => ((Y1 => Y2) => Y2))))))))),
% 13.52/2.10 inference(fool_elimination,[],[f125])).
% 13.52/2.10 thf(f125,plain,(
% 13.52/2.10 (c_or = (^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => X2) => ((X1 => X2) => X2)))))),
% 13.52/2.10 inference(rectify,[],[f15])).
% 13.52/2.10 thf(f15,axiom,(
% 13.52/2.10 (c_or = (^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => X2) => ((X1 => X2) => X2)))))),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15)).
% 13.52/2.10 thf(f341,plain,(
% 13.52/2.10 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (c_and @ Y0 @ (Y1 = Y3)) @ (c_and @ (c_not @ Y0) @ (Y2 = Y3)))))))))))),
% 13.52/2.10 inference(cnf_transformation,[],[f238])).
% 13.52/2.10 thf(f238,plain,(
% 13.52/2.10 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (c_and @ Y0 @ (Y1 = Y3)) @ (c_and @ (c_not @ Y0) @ (Y2 = Y3)))))))))))),
% 13.52/2.10 inference(fool_elimination,[],[f42])).
% 13.52/2.10 thf(f42,axiom,(
% 13.52/2.10 (c_If_i = (^[X0 : $o, X1 : $i, X2 : $i] : (c_Eps_i @ (^[X3 : $i] : (c_or @ (c_and @ X0 @ (X1 = X3)) @ (c_and @ (c_not @ X0) @ (X2 = X3)))))))),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42)).
% 13.52/2.10 thf(f329,plain,(
% 13.52/2.10 (c_UPair = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y2 : $i]: (c_If_i @ (c_In @ c_Empty @ Y2) @ Y0 @ Y1)))))))),
% 13.52/2.10 inference(cnf_transformation,[],[f113])).
% 13.52/2.10 thf(f113,plain,(
% 13.52/2.10 (c_UPair = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y2 : $i]: (c_If_i @ (c_In @ c_Empty @ Y2) @ Y0 @ Y1)))))))),
% 13.52/2.10 inference(fool_elimination,[],[f47])).
% 13.52/2.10 thf(f47,axiom,(
% 13.52/2.10 ((^[X0 : $i, X1 : $i] : (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[X2 : $i] : (c_If_i @ (c_In @ c_Empty @ X2) @ X0 @ X1)))) = c_UPair)),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47)).
% 13.52/2.10 thf(f376,plain,(
% 13.52/2.10 (c_Sing = (^[Y0 : $i]: (c_UPair @ Y0 @ Y0)))),
% 13.52/2.10 inference(cnf_transformation,[],[f180])).
% 13.52/2.10 thf(f180,plain,(
% 13.52/2.10 (c_Sing = (^[Y0 : $i]: (c_UPair @ Y0 @ Y0)))),
% 13.52/2.10 inference(fool_elimination,[],[f48])).
% 13.52/2.10 thf(f48,axiom,(
% 13.52/2.10 ((^[X0 : $i] : (c_UPair @ X0 @ X0)) = c_Sing)),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48)).
% 13.52/2.10 thf(f424,plain,(
% 13.52/2.10 (c_binunion = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Union @ ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Eps_i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => Y11) => ((Y10 => Y11) => Y11))))))) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ Y5 @ (Y6 = Y8)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ ((^[Y9 : $o]: (Y9 => (!! @ $o @ (^[Y10 : $o]: (Y10))))) @ Y5) @ (Y7 = Y8)))))))))) @ (c_In @ c_Empty @ Y4) @ Y2 @ Y3)))))) @ Y0 @ Y1))))))),
% 13.52/2.10 inference(definition_unfolding,[],[f362,f422])).
% 13.52/2.10 thf(f362,plain,(
% 13.52/2.10 (c_binunion = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Union @ (c_UPair @ Y0 @ Y1))))))),
% 13.52/2.10 inference(cnf_transformation,[],[f196])).
% 13.52/2.10 thf(f196,plain,(
% 13.52/2.10 (c_binunion = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Union @ (c_UPair @ Y0 @ Y1))))))),
% 13.52/2.10 inference(fool_elimination,[],[f49])).
% 13.52/2.10 thf(f49,axiom,(
% 13.52/2.10 ((^[X0 : $i, X1 : $i] : (c_Union @ (c_UPair @ X0 @ X1))) = c_binunion)),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49)).
% 13.52/2.10 thf(f360,plain,(
% 13.52/2.10 (c_In_rec_poly_i = (^[Y0 : $i > ($i > $i) > $i]: ((^[Y1 : $i]: (c_Eps_i @ (^[Y2 : $i]: (c_In_rec_poly_G_i @ Y0 @ Y1 @ Y2)))))))),
% 13.52/2.10 inference(cnf_transformation,[],[f283])).
% 13.52/2.10 thf(f283,plain,(
% 13.52/2.10 (c_In_rec_poly_i = (^[Y0 : $i > ($i > $i) > $i]: ((^[Y1 : $i]: (c_Eps_i @ (^[Y2 : $i]: (c_In_rec_poly_G_i @ Y0 @ Y1 @ Y2)))))))),
% 13.52/2.10 inference(fool_elimination,[],[f61])).
% 13.52/2.10 thf(f61,axiom,(
% 13.52/2.10 ((^[X0 : $i > ($i > $i) > $i, X1 : $i] : (c_Eps_i @ (^[X2 : $i] : (c_In_rec_poly_G_i @ X0 @ X1 @ X2)))) = c_In_rec_poly_i)),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61)).
% 13.52/2.10 thf(f340,plain,(
% 13.52/2.10 (c_Inj1 = (c_In_rec_poly_i @ (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_binunion @ (c_Sing @ c_Empty) @ (c_Repl @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2)))))))))),
% 13.52/2.10 inference(cnf_transformation,[],[f163])).
% 13.52/2.10 thf(f163,plain,(
% 13.52/2.10 (c_Inj1 = (c_In_rec_poly_i @ (^[Y0 : $i]: ((^[Y1 : $i > $i]: (c_binunion @ (c_Sing @ c_Empty) @ (c_Repl @ Y0 @ (^[Y2 : $i]: (Y1 @ Y2)))))))))),
% 13.52/2.10 inference(fool_elimination,[],[f69])).
% 13.52/2.10 thf(f69,axiom,(
% 13.52/2.10 ((c_In_rec_poly_i @ (^[X0 : $i, X1 : $i > $i] : (c_binunion @ (c_Sing @ c_Empty) @ (c_Repl @ X0 @ (^[X2 : $i] : (X1 @ X2)))))) = c_Inj1)),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69)).
% 13.52/2.10 thf(f438,plain,(
% 13.52/2.10 (c_setsum = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Union @ ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => Y13) => ((Y12 => Y13) => Y13))))))) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ Y7 @ (Y8 = Y10)) @ ((^[Y11 : $o]: ((^[Y12 : $o]: (!! @ $o @ (^[Y13 : $o]: ((Y11 => (Y12 => Y13)) => Y13)))))) @ ((^[Y11 : $o]: (Y11 => (!! @ $o @ (^[Y12 : $o]: (Y12))))) @ Y7) @ (Y9 = Y10)))))))))) @ (c_In @ c_Empty @ Y6) @ Y4 @ Y5)))))) @ Y2 @ Y3))))) @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (c_Repl @ Y3 @ (^[Y4 : $i]: ((^[Y5 : $i > ($i > $i) > $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: (c_In_rec_poly_G_i @ Y5 @ Y6 @ Y7)))))) @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Union @ ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => (!! @ $o @ (^[Y17 : $o]: (Y17))))) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y7 @ Y8))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $i]: ((^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => Y17) => ((Y16 => Y17) => Y17))))))) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ Y11 @ (Y12 = Y14)) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ ((^[Y15 : $o]: (Y15 => (!! @ $o @ (^[Y16 : $o]: (Y16))))) @ Y11) @ (Y13 = Y14)))))))))) @ (c_In @ c_Empty @ Y10) @ Y8 @ Y9)))))) @ Y7 @ Y7)) @ c_Empty) @ (c_Repl @ Y5 @ (^[Y7 : $i]: (Y6 @ Y7))))))) @ Y4)))) @ Y2))) @ (c_Repl @ Y1 @ (^[Y2 : $i]: ((^[Y3 : $i > ($i > $i) > $i]: ((^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: (c_In_rec_poly_G_i @ Y3 @ Y4 @ Y5)))))) @ (^[Y3 : $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Union @ ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => Y16) => ((Y15 => Y16) => Y16))))))) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ Y10 @ (Y11 = Y13)) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ ((^[Y14 : $o]: (Y14 => (!! @ $o @ (^[Y15 : $o]: (Y15))))) @ Y10) @ (Y12 = Y13)))))))))) @ (c_In @ c_Empty @ Y9) @ Y7 @ Y8)))))) @ Y5 @ Y6))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => (!! @ $o @ (^[Y14 : $o]: (Y14))))) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y5 @ Y5)) @ c_Empty) @ (c_Repl @ Y3 @ (^[Y5 : $i]: (Y4 @ Y5))))))) @ Y2))))))))),
% 13.52/2.10 inference(definition_unfolding,[],[f347,f424,f435,f434])).
% 13.52/2.10 thf(f435,plain,(
% 13.52/2.10 (c_Inj0 = (^[Y0 : $i]: (c_Repl @ Y0 @ (^[Y1 : $i]: ((^[Y2 : $i > ($i > $i) > $i]: ((^[Y3 : $i]: (c_Eps_i @ (^[Y4 : $i]: (c_In_rec_poly_G_i @ Y2 @ Y3 @ Y4)))))) @ (^[Y2 : $i]: ((^[Y3 : $i > $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Union @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => (!! @ $o @ (^[Y14 : $o]: (Y14))))) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y4 @ Y5))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => Y14) => ((Y13 => Y14) => Y14))))))) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => (!! @ $o @ (^[Y13 : $o]: (Y13))))) @ Y8) @ (Y10 = Y11)))))))))) @ (c_In @ c_Empty @ Y7) @ Y5 @ Y6)))))) @ Y4 @ Y4)) @ c_Empty) @ (c_Repl @ Y2 @ (^[Y4 : $i]: (Y3 @ Y4))))))) @ Y1)))))),
% 13.52/2.10 inference(definition_unfolding,[],[f326,f434])).
% 13.52/2.10 thf(f326,plain,(
% 13.52/2.10 (c_Inj0 = (^[Y0 : $i]: (c_Repl @ Y0 @ (^[Y1 : $i]: (c_Inj1 @ Y1)))))),
% 13.52/2.10 inference(cnf_transformation,[],[f185])).
% 13.52/2.10 thf(f185,plain,(
% 13.52/2.10 (c_Inj0 = (^[Y0 : $i]: (c_Repl @ Y0 @ (^[Y1 : $i]: (c_Inj1 @ Y1)))))),
% 13.52/2.10 inference(fool_elimination,[],[f70])).
% 13.52/2.10 thf(f70,axiom,(
% 13.52/2.10 (c_Inj0 = (^[X0 : $i] : (c_Repl @ X0 @ (^[X1 : $i] : (c_Inj1 @ X1)))))),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70)).
% 13.52/2.10 thf(f347,plain,(
% 13.52/2.10 (c_setsum = (^[Y0 : $i]: ((^[Y1 : $i]: (c_binunion @ (c_Repl @ Y0 @ (^[Y2 : $i]: (c_Inj0 @ Y2))) @ (c_Repl @ Y1 @ (^[Y2 : $i]: (c_Inj1 @ Y2))))))))),
% 13.52/2.10 inference(cnf_transformation,[],[f213])).
% 13.52/2.10 thf(f213,plain,(
% 13.52/2.10 (c_setsum = (^[Y0 : $i]: ((^[Y1 : $i]: (c_binunion @ (c_Repl @ Y0 @ (^[Y2 : $i]: (c_Inj0 @ Y2))) @ (c_Repl @ Y1 @ (^[Y2 : $i]: (c_Inj1 @ Y2))))))))),
% 13.52/2.10 inference(fool_elimination,[],[f212])).
% 13.52/2.10 thf(f212,plain,(
% 13.52/2.10 (c_setsum = (^[X0 : $i, X1 : $i] : (c_binunion @ (c_Repl @ X0 @ (^[X2 : $i] : (c_Inj0 @ X2))) @ (c_Repl @ X1 @ (^[X3 : $i] : (c_Inj1 @ X3))))))),
% 13.52/2.10 inference(rectify,[],[f73])).
% 13.52/2.10 thf(f73,axiom,(
% 13.52/2.10 (c_setsum = (^[X0 : $i, X1 : $i] : (c_binunion @ (c_Repl @ X0 @ (^[X2 : $i] : (c_Inj0 @ X2))) @ (c_Repl @ X1 @ (^[X2 : $i] : (c_Inj1 @ X2))))))),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73)).
% 13.52/2.10 thf(f394,plain,(
% 13.52/2.10 ( ! [X12 : $i,X13 : $i > $i] : (((X13 @ X12) = (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK12 @ (^[Y3 : $i]: (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_setsum @ c_Empty @ c_Empty)))) @ Y3))) @ (c_Inj1 @ c_Empty))))))) @ (^[Y0 : $i]: (X13 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))))) )),
% 13.52/2.10 inference(cnf_transformation,[],[f321])).
% 13.52/2.10 thf(f1037,plain,(
% 13.52/2.10 ( ! [X0 : $i > $i] : (((c_Union @ c_Empty) = (X0 @ (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y3 : $i]: ((^[Y4 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $o @ (^[Y8 : $o]: (((c_In @ c_Empty @ Y5) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))) = Y6) => Y8)) => Y8))) => Y7) => (((!! @ $o @ (^[Y8 : $o]: ((((c_In @ c_Empty @ Y5) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => (((c_Repl @ Y3 @ Y4) = Y6) => Y8)) => Y8))) => Y7) => Y7)))))))))))) @ c_Empty))))))) @ (^[Y0 : $i]: (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y2 : $i]: ((^[Y3 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $o @ (^[Y7 : $o]: (((c_In @ c_Empty @ Y4) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((!! @ $o @ (^[Y11 : $o]: (((c_In @ c_Empty @ Y8) => ((c_Empty = Y9) => Y11)) => Y11))) => Y10) => (((!! @ $o @ (^[Y11 : $o]: ((((c_In @ c_Empty @ Y8) => (!! @ $o @ (^[Y12 : $o]: (Y12)))) => ((c_Empty = Y9) => Y11)) => Y11))) => Y10) => Y10)))))))) = Y5) => Y7)) => Y7))) => Y6) => (((!! @ $o @ (^[Y7 : $o]: ((((c_In @ c_Empty @ Y4) => (!! @ $o @ (^[Y8 : $o]: (Y8)))) => (((c_Repl @ Y2 @ Y3) = Y5) => Y7)) => Y7))) => Y6) => Y6)))))))))))) @ Y1))))) @ (^[Y0 : $i > $i > $i]: (sK9 @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i]: (c_Empty)))))))) )),
% 13.52/2.10 inference(forward_demodulation,[],[f742,f646])).
% 13.52/2.10 thf(f646,plain,(
% 13.52/2.10 ( ! [X0 : $i] : (((sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK12 @ (^[Y3 : $i]: (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $o @ (^[Y9 : $o]: (((c_In @ c_Empty @ Y6) => (((c_Repl @ c_Empty @ (^[Y10 : $i]: (c_Repl @ Y10 @ (^[Y11 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y12 : $i]: ((^[Y13 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: (!! @ $o @ (^[Y16 : $o]: (((!! @ $o @ (^[Y17 : $o]: (((c_In @ c_Empty @ Y14) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y18 : $i]: (c_Eps_i @ (^[Y19 : $i]: (!! @ $o @ (^[Y20 : $o]: (((!! @ $o @ (^[Y21 : $o]: (((c_In @ c_Empty @ Y18) => ((c_Empty = Y19) => Y21)) => Y21))) => Y20) => (((!! @ $o @ (^[Y21 : $o]: ((((c_In @ c_Empty @ Y18) => (!! @ $o @ (^[Y22 : $o]: (Y22)))) => ((c_Empty = Y19) => Y21)) => Y21))) => Y20) => Y20)))))))) = Y15) => Y17)) => Y17))) => Y16) => (((!! @ $o @ (^[Y17 : $o]: ((((c_In @ c_Empty @ Y14) => (!! @ $o @ (^[Y18 : $o]: (Y18)))) => (((c_Repl @ Y12 @ Y13) = Y15) => Y17)) => Y17))) => Y16) => Y16)))))))))))) @ Y11)))))) = Y7) => Y9)) => Y9))) => Y8) => (((!! @ $o @ (^[Y9 : $o]: ((((c_In @ c_Empty @ Y6) => (!! @ $o @ (^[Y10 : $o]: (Y10)))) => (((c_Repl @ c_Empty @ (^[Y10 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y11 : $i]: ((^[Y12 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: (!! @ $o @ (^[Y15 : $o]: (((!! @ $o @ (^[Y16 : $o]: (((c_In @ c_Empty @ Y13) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y17 : $i]: (c_Eps_i @ (^[Y18 : $i]: (!! @ $o @ (^[Y19 : $o]: (((!! @ $o @ (^[Y20 : $o]: (((c_In @ c_Empty @ Y17) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => (((!! @ $o @ (^[Y20 : $o]: ((((c_In @ c_Empty @ Y17) => (!! @ $o @ (^[Y21 : $o]: (Y21)))) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => Y19)))))))) = Y14) => Y16)) => Y16))) => Y15) => (((!! @ $o @ (^[Y16 : $o]: ((((c_In @ c_Empty @ Y13) => (!! @ $o @ (^[Y17 : $o]: (Y17)))) => (((c_Repl @ Y11 @ Y12) = Y14) => Y16)) => Y16))) => Y15) => Y15)))))))))))) @ Y10)))) = Y7) => Y9)) => Y9))) => Y8) => Y8)))))))))))) @ Y3))) @ (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y3 : $i]: ((^[Y4 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $o @ (^[Y8 : $o]: (((c_In @ c_Empty @ Y5) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))) = Y6) => Y8)) => Y8))) => Y7) => (((!! @ $o @ (^[Y8 : $o]: ((((c_In @ c_Empty @ Y5) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => (((c_Repl @ Y3 @ Y4) = Y6) => Y8)) => Y8))) => Y7) => Y7)))))))))))) @ c_Empty)))))))) @ (^[Y0 : $i]: (X0)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) = X0)) )),
% 13.52/2.10 inference(superposition,[],[f523,f395])).
% 13.52/2.10 thf(f742,plain,(
% 13.52/2.10 ( ! [X0 : $i > $i] : (((X0 @ (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y3 : $i]: ((^[Y4 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $o @ (^[Y8 : $o]: (((c_In @ c_Empty @ Y5) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))) = Y6) => Y8)) => Y8))) => Y7) => (((!! @ $o @ (^[Y8 : $o]: ((((c_In @ c_Empty @ Y5) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => (((c_Repl @ Y3 @ Y4) = Y6) => Y8)) => Y8))) => Y7) => Y7)))))))))))) @ c_Empty))))))) @ (^[Y0 : $i]: (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y2 : $i]: ((^[Y3 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $o @ (^[Y7 : $o]: (((c_In @ c_Empty @ Y4) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((!! @ $o @ (^[Y11 : $o]: (((c_In @ c_Empty @ Y8) => ((c_Empty = Y9) => Y11)) => Y11))) => Y10) => (((!! @ $o @ (^[Y11 : $o]: ((((c_In @ c_Empty @ Y8) => (!! @ $o @ (^[Y12 : $o]: (Y12)))) => ((c_Empty = Y9) => Y11)) => Y11))) => Y10) => Y10)))))))) = Y5) => Y7)) => Y7))) => Y6) => (((!! @ $o @ (^[Y7 : $o]: ((((c_In @ c_Empty @ Y4) => (!! @ $o @ (^[Y8 : $o]: (Y8)))) => (((c_Repl @ Y2 @ Y3) = Y5) => Y7)) => Y7))) => Y6) => Y6)))))))))))) @ Y1))))) @ (^[Y0 : $i > $i > $i]: (sK9 @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i]: (c_Empty)))))) = (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (sK12 @ (^[Y3 : $i]: (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (Y2)))) @ (sK11 @ (^[Y4 : ($i > $i > $i > $i) > $i]: ((^[Y5 : $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $o @ (^[Y9 : $o]: (((c_In @ c_Empty @ Y6) => (((c_Repl @ c_Empty @ (^[Y10 : $i]: (c_Repl @ Y10 @ (^[Y11 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y12 : $i]: ((^[Y13 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: (!! @ $o @ (^[Y16 : $o]: (((!! @ $o @ (^[Y17 : $o]: (((c_In @ c_Empty @ Y14) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y18 : $i]: (c_Eps_i @ (^[Y19 : $i]: (!! @ $o @ (^[Y20 : $o]: (((!! @ $o @ (^[Y21 : $o]: (((c_In @ c_Empty @ Y18) => ((c_Empty = Y19) => Y21)) => Y21))) => Y20) => (((!! @ $o @ (^[Y21 : $o]: ((((c_In @ c_Empty @ Y18) => (!! @ $o @ (^[Y22 : $o]: (Y22)))) => ((c_Empty = Y19) => Y21)) => Y21))) => Y20) => Y20)))))))) = Y15) => Y17)) => Y17))) => Y16) => (((!! @ $o @ (^[Y17 : $o]: ((((c_In @ c_Empty @ Y14) => (!! @ $o @ (^[Y18 : $o]: (Y18)))) => (((c_Repl @ Y12 @ Y13) = Y15) => Y17)) => Y17))) => Y16) => Y16)))))))))))) @ Y11)))))) = Y7) => Y9)) => Y9))) => Y8) => (((!! @ $o @ (^[Y9 : $o]: ((((c_In @ c_Empty @ Y6) => (!! @ $o @ (^[Y10 : $o]: (Y10)))) => (((c_Repl @ c_Empty @ (^[Y10 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y11 : $i]: ((^[Y12 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: (!! @ $o @ (^[Y15 : $o]: (((!! @ $o @ (^[Y16 : $o]: (((c_In @ c_Empty @ Y13) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y17 : $i]: (c_Eps_i @ (^[Y18 : $i]: (!! @ $o @ (^[Y19 : $o]: (((!! @ $o @ (^[Y20 : $o]: (((c_In @ c_Empty @ Y17) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => (((!! @ $o @ (^[Y20 : $o]: ((((c_In @ c_Empty @ Y17) => (!! @ $o @ (^[Y21 : $o]: (Y21)))) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => Y19)))))))) = Y14) => Y16)) => Y16))) => Y15) => (((!! @ $o @ (^[Y16 : $o]: ((((c_In @ c_Empty @ Y13) => (!! @ $o @ (^[Y17 : $o]: (Y17)))) => (((c_Repl @ Y11 @ Y12) = Y14) => Y16)) => Y16))) => Y15) => Y15)))))))))))) @ Y10)))) = Y7) => Y9)) => Y9))) => Y8) => Y8)))))))))))) @ Y3))) @ (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y3 : $i]: ((^[Y4 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $o @ (^[Y8 : $o]: (((c_In @ c_Empty @ Y5) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))) = Y6) => Y8)) => Y8))) => Y7) => (((!! @ $o @ (^[Y8 : $o]: ((((c_In @ c_Empty @ Y5) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => (((c_Repl @ Y3 @ Y4) = Y6) => Y8)) => Y8))) => Y7) => Y7)))))))))))) @ c_Empty)))))))) @ (^[Y0 : $i]: (c_Union @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))))) )),
% 13.52/2.10 inference(superposition,[],[f734,f523])).
% 13.52/2.10 thf(f734,plain,(
% 13.52/2.10 ( ! [X6 : $i > $i,X4 : $i > ($i > $i > $i) > $i,X5 : $i > $i] : (((c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y0 : $i]: (c_Eps_i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $o @ (^[Y3 : $o]: (((c_In @ c_Empty @ Y0) => (((c_Repl @ (X5 @ (X6 @ (sK10 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: (!! @ $o @ (^[Y15 : $o]: (((!! @ $o @ (^[Y16 : $o]: (((c_In @ c_Empty @ Y13) => ((c_Empty = Y14) => Y16)) => Y16))) => Y15) => (((!! @ $o @ (^[Y16 : $o]: ((((c_In @ c_Empty @ Y13) => (!! @ $o @ (^[Y17 : $o]: (Y17)))) => ((c_Empty = Y14) => Y16)) => Y16))) => Y15) => Y15)))))))) = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => (((c_Repl @ Y7 @ Y8) = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))))))) @ c_Empty))))))) @ (^[Y4 : $i]: (sK10 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Empty)))))) @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i > $i > $i]: (c_Empty)))) @ (^[Y4 : $i > $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $o @ (^[Y8 : $o]: (((c_In @ c_Empty @ Y5) => (((c_Repl @ c_Empty @ (^[Y9 : $i]: (c_Repl @ Y9 @ (^[Y10 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y11 : $i]: ((^[Y12 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: (!! @ $o @ (^[Y15 : $o]: (((!! @ $o @ (^[Y16 : $o]: (((c_In @ c_Empty @ Y13) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y17 : $i]: (c_Eps_i @ (^[Y18 : $i]: (!! @ $o @ (^[Y19 : $o]: (((!! @ $o @ (^[Y20 : $o]: (((c_In @ c_Empty @ Y17) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => (((!! @ $o @ (^[Y20 : $o]: ((((c_In @ c_Empty @ Y17) => (!! @ $o @ (^[Y21 : $o]: (Y21)))) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => Y19)))))))) = Y14) => Y16)) => Y16))) => Y15) => (((!! @ $o @ (^[Y16 : $o]: ((((c_In @ c_Empty @ Y13) => (!! @ $o @ (^[Y17 : $o]: (Y17)))) => (((c_Repl @ Y11 @ Y12) = Y14) => Y16)) => Y16))) => Y15) => Y15)))))))))))) @ Y10)))))) = Y6) => Y8)) => Y8))) => Y7) => (((!! @ $o @ (^[Y8 : $o]: ((((c_In @ c_Empty @ Y5) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => (((c_Repl @ c_Empty @ (^[Y9 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y10 : $i]: ((^[Y11 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: (!! @ $o @ (^[Y14 : $o]: (((!! @ $o @ (^[Y15 : $o]: (((c_In @ c_Empty @ Y12) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: (!! @ $o @ (^[Y18 : $o]: (((!! @ $o @ (^[Y19 : $o]: (((c_In @ c_Empty @ Y16) => ((c_Empty = Y17) => Y19)) => Y19))) => Y18) => (((!! @ $o @ (^[Y19 : $o]: ((((c_In @ c_Empty @ Y16) => (!! @ $o @ (^[Y20 : $o]: (Y20)))) => ((c_Empty = Y17) => Y19)) => Y19))) => Y18) => Y18)))))))) = Y13) => Y15)) => Y15))) => Y14) => (((!! @ $o @ (^[Y15 : $o]: ((((c_In @ c_Empty @ Y12) => (!! @ $o @ (^[Y16 : $o]: (Y16)))) => (((c_Repl @ Y10 @ Y11) = Y13) => Y15)) => Y15))) => Y14) => Y14)))))))))))) @ Y9)))) = Y6) => Y8)) => Y8))) => Y7) => Y7))))))))))))) @ (^[Y4 : $i]: (c_Repl @ Y4 @ (^[Y5 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y6 : $i]: ((^[Y7 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((!! @ $o @ (^[Y11 : $o]: (((c_In @ c_Empty @ Y8) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: (!! @ $o @ (^[Y14 : $o]: (((!! @ $o @ (^[Y15 : $o]: (((c_In @ c_Empty @ Y12) => ((c_Empty = Y13) => Y15)) => Y15))) => Y14) => (((!! @ $o @ (^[Y15 : $o]: ((((c_In @ c_Empty @ Y12) => (!! @ $o @ (^[Y16 : $o]: (Y16)))) => ((c_Empty = Y13) => Y15)) => Y15))) => Y14) => Y14)))))))) = Y9) => Y11)) => Y11))) => Y10) => (((!! @ $o @ (^[Y11 : $o]: ((((c_In @ c_Empty @ Y8) => (!! @ $o @ (^[Y12 : $o]: (Y12)))) => (((c_Repl @ Y6 @ Y7) = Y9) => Y11)) => Y11))) => Y10) => Y10)))))))))))) @ Y5)))))) = Y1) => Y3)) => Y3))) => Y2) => (((!! @ $o @ (^[Y3 : $o]: ((((c_In @ c_Empty @ Y0) => (!! @ $o @ (^[Y4 : $o]: (Y4)))) => (((c_Repl @ (sK12 @ (^[Y4 : $i]: (X5 @ c_Empty)) @ (X6 @ (X4 @ (sK12 @ (^[Y4 : $i]: (c_Empty)) @ c_Empty) @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Empty))))))) @ (^[Y4 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y7 : $i]: (c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((!! @ $o @ (^[Y10 : $o]: (((c_In @ c_Empty @ Y7) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: (!! @ $o @ (^[Y13 : $o]: (((!! @ $o @ (^[Y14 : $o]: (((c_In @ c_Empty @ Y11) => ((c_Empty = Y12) => Y14)) => Y14))) => Y13) => (((!! @ $o @ (^[Y14 : $o]: ((((c_In @ c_Empty @ Y11) => (!! @ $o @ (^[Y15 : $o]: (Y15)))) => ((c_Empty = Y12) => Y14)) => Y14))) => Y13) => Y13)))))))) = Y8) => Y10)) => Y10))) => Y9) => (((!! @ $o @ (^[Y10 : $o]: ((((c_In @ c_Empty @ Y7) => (!! @ $o @ (^[Y11 : $o]: (Y11)))) => (((c_Repl @ Y5 @ Y6) = Y8) => Y10)) => Y10))) => Y9) => Y9)))))))))))) @ Y4)))) = Y1) => Y3)) => Y3))) => Y2) => Y2))))))))) = (X5 @ (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y3 : $i]: ((^[Y4 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $o @ (^[Y8 : $o]: (((c_In @ c_Empty @ Y5) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))) = Y6) => Y8)) => Y8))) => Y7) => (((!! @ $o @ (^[Y8 : $o]: ((((c_In @ c_Empty @ Y5) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => (((c_Repl @ Y3 @ Y4) = Y6) => Y8)) => Y8))) => Y7) => Y7)))))))))))) @ c_Empty))))))) @ (^[Y0 : $i]: (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y2 : $i]: ((^[Y3 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $o @ (^[Y7 : $o]: (((c_In @ c_Empty @ Y4) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((!! @ $o @ (^[Y11 : $o]: (((c_In @ c_Empty @ Y8) => ((c_Empty = Y9) => Y11)) => Y11))) => Y10) => (((!! @ $o @ (^[Y11 : $o]: ((((c_In @ c_Empty @ Y8) => (!! @ $o @ (^[Y12 : $o]: (Y12)))) => ((c_Empty = Y9) => Y11)) => Y11))) => Y10) => Y10)))))))) = Y5) => Y7)) => Y7))) => Y6) => (((!! @ $o @ (^[Y7 : $o]: ((((c_In @ c_Empty @ Y4) => (!! @ $o @ (^[Y8 : $o]: (Y8)))) => (((c_Repl @ Y2 @ Y3) = Y5) => Y7)) => Y7))) => Y6) => Y6)))))))))))) @ Y1))))) @ (^[Y0 : $i > $i > $i]: (sK9 @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i]: (c_Empty)))))))) )),
% 13.52/2.10 inference(forward_demodulation,[],[f733,f651])).
% 13.52/2.10 thf(f733,plain,(
% 13.52/2.10 ( ! [X6 : $i > $i,X4 : $i > ($i > $i > $i) > $i,X5 : $i > $i] : (((X5 @ (sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (sK10 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y7 : $i]: (c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((!! @ $o @ (^[Y10 : $o]: (((c_In @ c_Empty @ Y7) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: (!! @ $o @ (^[Y13 : $o]: (((!! @ $o @ (^[Y14 : $o]: (((c_In @ c_Empty @ Y11) => ((c_Empty = Y12) => Y14)) => Y14))) => Y13) => (((!! @ $o @ (^[Y14 : $o]: ((((c_In @ c_Empty @ Y11) => (!! @ $o @ (^[Y15 : $o]: (Y15)))) => ((c_Empty = Y12) => Y14)) => Y14))) => Y13) => Y13)))))))) = Y8) => Y10)) => Y10))) => Y9) => (((!! @ $o @ (^[Y10 : $o]: ((((c_In @ c_Empty @ Y7) => (!! @ $o @ (^[Y11 : $o]: (Y11)))) => (((c_Repl @ Y5 @ Y6) = Y8) => Y10)) => Y10))) => Y9) => Y9)))))))))))) @ c_Empty))))))) @ (^[Y2 : $i]: (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y4 : $i]: ((^[Y5 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $o @ (^[Y9 : $o]: (((c_In @ c_Empty @ Y6) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: (!! @ $o @ (^[Y12 : $o]: (((!! @ $o @ (^[Y13 : $o]: (((c_In @ c_Empty @ Y10) => ((c_Empty = Y11) => Y13)) => Y13))) => Y12) => (((!! @ $o @ (^[Y13 : $o]: ((((c_In @ c_Empty @ Y10) => (!! @ $o @ (^[Y14 : $o]: (Y14)))) => ((c_Empty = Y11) => Y13)) => Y13))) => Y12) => Y12)))))))) = Y7) => Y9)) => Y9))) => Y8) => (((!! @ $o @ (^[Y9 : $o]: ((((c_In @ c_Empty @ Y6) => (!! @ $o @ (^[Y10 : $o]: (Y10)))) => (((c_Repl @ Y4 @ Y5) = Y7) => Y9)) => Y9))) => Y8) => Y8)))))))))))) @ Y3))))) @ (^[Y2 : $i > $i > $i]: (sK9 @ (^[Y3 : $i]: (c_Empty)) @ (^[Y3 : $i]: (c_Empty)))))))) @ (c_Repl @ (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Empty)))))) @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) @ (^[Y0 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y1 : $i]: ((^[Y2 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y3 : $i]: (c_Eps_i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $o @ (^[Y6 : $o]: (((c_In @ c_Empty @ Y3) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y7 : $i]: (c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((!! @ $o @ (^[Y10 : $o]: (((c_In @ c_Empty @ Y7) => ((c_Empty = Y8) => Y10)) => Y10))) => Y9) => (((!! @ $o @ (^[Y10 : $o]: ((((c_In @ c_Empty @ Y7) => (!! @ $o @ (^[Y11 : $o]: (Y11)))) => ((c_Empty = Y8) => Y10)) => Y10))) => Y9) => Y9)))))))) = Y4) => Y6)) => Y6))) => Y5) => (((!! @ $o @ (^[Y6 : $o]: ((((c_In @ c_Empty @ Y3) => (!! @ $o @ (^[Y7 : $o]: (Y7)))) => (((c_Repl @ Y1 @ Y2) = Y4) => Y6)) => Y6))) => Y5) => Y5)))))))))))) @ Y0)))))) = (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y0 : $i]: (c_Eps_i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $o @ (^[Y3 : $o]: (((c_In @ c_Empty @ Y0) => (((c_Repl @ (X5 @ (X6 @ (sK10 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: (!! @ $o @ (^[Y15 : $o]: (((!! @ $o @ (^[Y16 : $o]: (((c_In @ c_Empty @ Y13) => ((c_Empty = Y14) => Y16)) => Y16))) => Y15) => (((!! @ $o @ (^[Y16 : $o]: ((((c_In @ c_Empty @ Y13) => (!! @ $o @ (^[Y17 : $o]: (Y17)))) => ((c_Empty = Y14) => Y16)) => Y16))) => Y15) => Y15)))))))) = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => (((c_Repl @ Y7 @ Y8) = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))))))) @ c_Empty))))))) @ (^[Y4 : $i]: (sK10 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Empty)))))) @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i > $i > $i]: (c_Empty)))) @ (^[Y4 : $i > $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $o @ (^[Y8 : $o]: (((c_In @ c_Empty @ Y5) => (((c_Repl @ c_Empty @ (^[Y9 : $i]: (c_Repl @ Y9 @ (^[Y10 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y11 : $i]: ((^[Y12 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: (!! @ $o @ (^[Y15 : $o]: (((!! @ $o @ (^[Y16 : $o]: (((c_In @ c_Empty @ Y13) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y17 : $i]: (c_Eps_i @ (^[Y18 : $i]: (!! @ $o @ (^[Y19 : $o]: (((!! @ $o @ (^[Y20 : $o]: (((c_In @ c_Empty @ Y17) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => (((!! @ $o @ (^[Y20 : $o]: ((((c_In @ c_Empty @ Y17) => (!! @ $o @ (^[Y21 : $o]: (Y21)))) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => Y19)))))))) = Y14) => Y16)) => Y16))) => Y15) => (((!! @ $o @ (^[Y16 : $o]: ((((c_In @ c_Empty @ Y13) => (!! @ $o @ (^[Y17 : $o]: (Y17)))) => (((c_Repl @ Y11 @ Y12) = Y14) => Y16)) => Y16))) => Y15) => Y15)))))))))))) @ Y10)))))) = Y6) => Y8)) => Y8))) => Y7) => (((!! @ $o @ (^[Y8 : $o]: ((((c_In @ c_Empty @ Y5) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => (((c_Repl @ c_Empty @ (^[Y9 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y10 : $i]: ((^[Y11 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: (!! @ $o @ (^[Y14 : $o]: (((!! @ $o @ (^[Y15 : $o]: (((c_In @ c_Empty @ Y12) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: (!! @ $o @ (^[Y18 : $o]: (((!! @ $o @ (^[Y19 : $o]: (((c_In @ c_Empty @ Y16) => ((c_Empty = Y17) => Y19)) => Y19))) => Y18) => (((!! @ $o @ (^[Y19 : $o]: ((((c_In @ c_Empty @ Y16) => (!! @ $o @ (^[Y20 : $o]: (Y20)))) => ((c_Empty = Y17) => Y19)) => Y19))) => Y18) => Y18)))))))) = Y13) => Y15)) => Y15))) => Y14) => (((!! @ $o @ (^[Y15 : $o]: ((((c_In @ c_Empty @ Y12) => (!! @ $o @ (^[Y16 : $o]: (Y16)))) => (((c_Repl @ Y10 @ Y11) = Y13) => Y15)) => Y15))) => Y14) => Y14)))))))))))) @ Y9)))) = Y6) => Y8)) => Y8))) => Y7) => Y7))))))))))))) @ (^[Y4 : $i]: (c_Repl @ Y4 @ (^[Y5 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y6 : $i]: ((^[Y7 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((!! @ $o @ (^[Y11 : $o]: (((c_In @ c_Empty @ Y8) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: (!! @ $o @ (^[Y14 : $o]: (((!! @ $o @ (^[Y15 : $o]: (((c_In @ c_Empty @ Y12) => ((c_Empty = Y13) => Y15)) => Y15))) => Y14) => (((!! @ $o @ (^[Y15 : $o]: ((((c_In @ c_Empty @ Y12) => (!! @ $o @ (^[Y16 : $o]: (Y16)))) => ((c_Empty = Y13) => Y15)) => Y15))) => Y14) => Y14)))))))) = Y9) => Y11)) => Y11))) => Y10) => (((!! @ $o @ (^[Y11 : $o]: ((((c_In @ c_Empty @ Y8) => (!! @ $o @ (^[Y12 : $o]: (Y12)))) => (((c_Repl @ Y6 @ Y7) = Y9) => Y11)) => Y11))) => Y10) => Y10)))))))))))) @ Y5)))))) = Y1) => Y3)) => Y3))) => Y2) => (((!! @ $o @ (^[Y3 : $o]: ((((c_In @ c_Empty @ Y0) => (!! @ $o @ (^[Y4 : $o]: (Y4)))) => (((c_Repl @ (sK12 @ (^[Y4 : $i]: (X5 @ c_Empty)) @ (X6 @ (X4 @ (sK12 @ (^[Y4 : $i]: (c_Empty)) @ c_Empty) @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Empty))))))) @ (^[Y4 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y7 : $i]: (c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((!! @ $o @ (^[Y10 : $o]: (((c_In @ c_Empty @ Y7) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: (!! @ $o @ (^[Y13 : $o]: (((!! @ $o @ (^[Y14 : $o]: (((c_In @ c_Empty @ Y11) => ((c_Empty = Y12) => Y14)) => Y14))) => Y13) => (((!! @ $o @ (^[Y14 : $o]: ((((c_In @ c_Empty @ Y11) => (!! @ $o @ (^[Y15 : $o]: (Y15)))) => ((c_Empty = Y12) => Y14)) => Y14))) => Y13) => Y13)))))))) = Y8) => Y10)) => Y10))) => Y9) => (((!! @ $o @ (^[Y10 : $o]: ((((c_In @ c_Empty @ Y7) => (!! @ $o @ (^[Y11 : $o]: (Y11)))) => (((c_Repl @ Y5 @ Y6) = Y8) => Y10)) => Y10))) => Y9) => Y9)))))))))))) @ Y4)))) = Y1) => Y3)) => Y3))) => Y2) => Y2))))))))))) )),
% 13.52/2.10 inference(forward_demodulation,[],[f576,f651])).
% 13.52/2.10 thf(f576,plain,(
% 13.52/2.10 ( ! [X6 : $i > $i,X4 : $i > ($i > $i > $i) > $i,X5 : $i > $i] : (((c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y0 : $i]: (c_Eps_i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $o @ (^[Y3 : $o]: (((c_In @ c_Empty @ Y0) => (((c_Repl @ (X5 @ (X6 @ (sK10 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: (!! @ $o @ (^[Y15 : $o]: (((!! @ $o @ (^[Y16 : $o]: (((c_In @ c_Empty @ Y13) => ((c_Empty = Y14) => Y16)) => Y16))) => Y15) => (((!! @ $o @ (^[Y16 : $o]: ((((c_In @ c_Empty @ Y13) => (!! @ $o @ (^[Y17 : $o]: (Y17)))) => ((c_Empty = Y14) => Y16)) => Y16))) => Y15) => Y15)))))))) = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => (((c_Repl @ Y7 @ Y8) = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))))))) @ c_Empty))))))) @ (^[Y4 : $i]: (sK10 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Empty)))))) @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i > $i > $i]: (c_Empty)))) @ (^[Y4 : $i > $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $o @ (^[Y8 : $o]: (((c_In @ c_Empty @ Y5) => (((c_Repl @ c_Empty @ (^[Y9 : $i]: (c_Repl @ Y9 @ (^[Y10 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y11 : $i]: ((^[Y12 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: (!! @ $o @ (^[Y15 : $o]: (((!! @ $o @ (^[Y16 : $o]: (((c_In @ c_Empty @ Y13) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y17 : $i]: (c_Eps_i @ (^[Y18 : $i]: (!! @ $o @ (^[Y19 : $o]: (((!! @ $o @ (^[Y20 : $o]: (((c_In @ c_Empty @ Y17) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => (((!! @ $o @ (^[Y20 : $o]: ((((c_In @ c_Empty @ Y17) => (!! @ $o @ (^[Y21 : $o]: (Y21)))) => ((c_Empty = Y18) => Y20)) => Y20))) => Y19) => Y19)))))))) = Y14) => Y16)) => Y16))) => Y15) => (((!! @ $o @ (^[Y16 : $o]: ((((c_In @ c_Empty @ Y13) => (!! @ $o @ (^[Y17 : $o]: (Y17)))) => (((c_Repl @ Y11 @ Y12) = Y14) => Y16)) => Y16))) => Y15) => Y15)))))))))))) @ Y10)))))) = Y6) => Y8)) => Y8))) => Y7) => (((!! @ $o @ (^[Y8 : $o]: ((((c_In @ c_Empty @ Y5) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => (((c_Repl @ c_Empty @ (^[Y9 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y10 : $i]: ((^[Y11 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: (!! @ $o @ (^[Y14 : $o]: (((!! @ $o @ (^[Y15 : $o]: (((c_In @ c_Empty @ Y12) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: (!! @ $o @ (^[Y18 : $o]: (((!! @ $o @ (^[Y19 : $o]: (((c_In @ c_Empty @ Y16) => ((c_Empty = Y17) => Y19)) => Y19))) => Y18) => (((!! @ $o @ (^[Y19 : $o]: ((((c_In @ c_Empty @ Y16) => (!! @ $o @ (^[Y20 : $o]: (Y20)))) => ((c_Empty = Y17) => Y19)) => Y19))) => Y18) => Y18)))))))) = Y13) => Y15)) => Y15))) => Y14) => (((!! @ $o @ (^[Y15 : $o]: ((((c_In @ c_Empty @ Y12) => (!! @ $o @ (^[Y16 : $o]: (Y16)))) => (((c_Repl @ Y10 @ Y11) = Y13) => Y15)) => Y15))) => Y14) => Y14)))))))))))) @ Y9)))) = Y6) => Y8)) => Y8))) => Y7) => Y7))))))))))))) @ (^[Y4 : $i]: (c_Repl @ Y4 @ (^[Y5 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y6 : $i]: ((^[Y7 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((!! @ $o @ (^[Y11 : $o]: (((c_In @ c_Empty @ Y8) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: (!! @ $o @ (^[Y14 : $o]: (((!! @ $o @ (^[Y15 : $o]: (((c_In @ c_Empty @ Y12) => ((c_Empty = Y13) => Y15)) => Y15))) => Y14) => (((!! @ $o @ (^[Y15 : $o]: ((((c_In @ c_Empty @ Y12) => (!! @ $o @ (^[Y16 : $o]: (Y16)))) => ((c_Empty = Y13) => Y15)) => Y15))) => Y14) => Y14)))))))) = Y9) => Y11)) => Y11))) => Y10) => (((!! @ $o @ (^[Y11 : $o]: ((((c_In @ c_Empty @ Y8) => (!! @ $o @ (^[Y12 : $o]: (Y12)))) => (((c_Repl @ Y6 @ Y7) = Y9) => Y11)) => Y11))) => Y10) => Y10)))))))))))) @ Y5)))))) = Y1) => Y3)) => Y3))) => Y2) => (((!! @ $o @ (^[Y3 : $o]: ((((c_In @ c_Empty @ Y0) => (!! @ $o @ (^[Y4 : $o]: (Y4)))) => (((c_Repl @ (sK12 @ (^[Y4 : $i]: (X5 @ c_Empty)) @ (X6 @ (X4 @ (sK12 @ (^[Y4 : $i]: (c_Empty)) @ c_Empty) @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Empty))))))) @ (^[Y4 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y5 : $i]: ((^[Y6 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y7 : $i]: (c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((!! @ $o @ (^[Y10 : $o]: (((c_In @ c_Empty @ Y7) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: (!! @ $o @ (^[Y13 : $o]: (((!! @ $o @ (^[Y14 : $o]: (((c_In @ c_Empty @ Y11) => ((c_Empty = Y12) => Y14)) => Y14))) => Y13) => (((!! @ $o @ (^[Y14 : $o]: ((((c_In @ c_Empty @ Y11) => (!! @ $o @ (^[Y15 : $o]: (Y15)))) => ((c_Empty = Y12) => Y14)) => Y14))) => Y13) => Y13)))))))) = Y8) => Y10)) => Y10))) => Y9) => (((!! @ $o @ (^[Y10 : $o]: ((((c_In @ c_Empty @ Y7) => (!! @ $o @ (^[Y11 : $o]: (Y11)))) => (((c_Repl @ Y5 @ Y6) = Y8) => Y10)) => Y10))) => Y9) => Y9)))))))))))) @ Y4)))) = Y1) => Y3)) => Y3))) => Y2) => Y2))))))))) = (sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X5 @ (sK11 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (sK10 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: (!! @ $o @ (^[Y15 : $o]: (((!! @ $o @ (^[Y16 : $o]: (((c_In @ c_Empty @ Y13) => ((c_Empty = Y14) => Y16)) => Y16))) => Y15) => (((!! @ $o @ (^[Y16 : $o]: ((((c_In @ c_Empty @ Y13) => (!! @ $o @ (^[Y17 : $o]: (Y17)))) => ((c_Empty = Y14) => Y16)) => Y16))) => Y15) => Y15)))))))) = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => (((c_Repl @ Y7 @ Y8) = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))))))) @ c_Empty))))))) @ (^[Y4 : $i]: (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y6 : $i]: ((^[Y7 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((!! @ $o @ (^[Y11 : $o]: (((c_In @ c_Empty @ Y8) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: (!! @ $o @ (^[Y14 : $o]: (((!! @ $o @ (^[Y15 : $o]: (((c_In @ c_Empty @ Y12) => ((c_Empty = Y13) => Y15)) => Y15))) => Y14) => (((!! @ $o @ (^[Y15 : $o]: ((((c_In @ c_Empty @ Y12) => (!! @ $o @ (^[Y16 : $o]: (Y16)))) => ((c_Empty = Y13) => Y15)) => Y15))) => Y14) => Y14)))))))) = Y9) => Y11)) => Y11))) => Y10) => (((!! @ $o @ (^[Y11 : $o]: ((((c_In @ c_Empty @ Y8) => (!! @ $o @ (^[Y12 : $o]: (Y12)))) => (((c_Repl @ Y6 @ Y7) = Y9) => Y11)) => Y11))) => Y10) => Y10)))))))))))) @ Y5))))) @ (^[Y4 : $i > $i > $i]: (sK9 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i]: (c_Empty)))))))) @ (c_Repl @ (sK10 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))) @ (^[Y2 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y3 : $i]: ((^[Y4 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $o @ (^[Y8 : $o]: (((c_In @ c_Empty @ Y5) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => ((c_Empty = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))) = Y6) => Y8)) => Y8))) => Y7) => (((!! @ $o @ (^[Y8 : $o]: ((((c_In @ c_Empty @ Y5) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => (((c_Repl @ Y3 @ Y4) = Y6) => Y8)) => Y8))) => Y7) => Y7)))))))))))) @ Y2))))))))) @ (sK9 @ (^[Y0 : $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y1 : $i]: (c_Eps_i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $o @ (^[Y4 : $o]: (((c_In @ c_Empty @ Y1) => (((c_Repl @ Y0 @ (^[Y5 : $i]: (c_Repl @ Y5 @ (^[Y6 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: (c_Eps_i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((!! @ $o @ (^[Y12 : $o]: (((c_In @ c_Empty @ Y9) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: (!! @ $o @ (^[Y15 : $o]: (((!! @ $o @ (^[Y16 : $o]: (((c_In @ c_Empty @ Y13) => ((c_Empty = Y14) => Y16)) => Y16))) => Y15) => (((!! @ $o @ (^[Y16 : $o]: ((((c_In @ c_Empty @ Y13) => (!! @ $o @ (^[Y17 : $o]: (Y17)))) => ((c_Empty = Y14) => Y16)) => Y16))) => Y15) => Y15)))))))) = Y10) => Y12)) => Y12))) => Y11) => (((!! @ $o @ (^[Y12 : $o]: ((((c_In @ c_Empty @ Y9) => (!! @ $o @ (^[Y13 : $o]: (Y13)))) => (((c_Repl @ Y7 @ Y8) = Y10) => Y12)) => Y12))) => Y11) => Y11)))))))))))) @ Y6)))))) = Y2) => Y4)) => Y4))) => Y3) => (((!! @ $o @ (^[Y4 : $o]: ((((c_In @ c_Empty @ Y1) => (!! @ $o @ (^[Y5 : $o]: (Y5)))) => (((c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Eps_i @ (c_In_rec_poly_G_i @ (^[Y6 : $i]: ((^[Y7 : $i > $i]: (c_Union @ (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((!! @ $o @ (^[Y11 : $o]: (((c_In @ c_Empty @ Y8) => (((c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: (!! @ $o @ (^[Y14 : $o]: (((!! @ $o @ (^[Y15 : $o]: (((c_In @ c_Empty @ Y12) => ((c_Empty = Y13) => Y15)) => Y15))) => Y14) => (((!! @ $o @ (^[Y15 : $o]: ((((c_In @ c_Empty @ Y12) => (!! @ $o @ (^[Y16 : $o]: (Y16)))) => ((c_Empty = Y13) => Y15)) => Y15))) => Y14) => Y14)))))))) = Y9) => Y11)) => Y11))) => Y10) => (((!! @ $o @ (^[Y11 : $o]: ((((c_In @ c_Empty @ Y8) => (!! @ $o @ (^[Y12 : $o]: (Y12)))) => (((c_Repl @ Y6 @ Y7) = Y9) => Y11)) => Y11))) => Y10) => Y10)))))))))))) @ Y5)))) = Y2) => Y4)) => Y4))) => Y3) => Y3)))))))))) @ (^[Y0 : $i]: (c_Empty)))))) )),
% 13.52/2.10 inference(beta_eta_normalization,[],[f464])).
% 13.52/2.10 thf(f464,plain,(
% 13.52/2.10 ( ! [X6 : $i > $i,X4 : $i > ($i > $i > $i) > $i,X5 : $i > $i] : (((sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X5 @ (sK11 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (sK10 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i > ($i > $i) > $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (c_In_rec_poly_G_i @ Y7 @ Y8 @ Y9)))))) @ (^[Y7 : $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Union @ ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $i]: ((^[Y16 : $i]: (c_Eps_i @ (^[Y17 : $i]: ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => Y20) => ((Y19 => Y20) => Y20))))))) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ Y14 @ (Y15 = Y17)) @ ((^[Y18 : $o]: ((^[Y19 : $o]: (!! @ $o @ (^[Y20 : $o]: ((Y18 => (Y19 => Y20)) => Y20)))))) @ ((^[Y18 : $o]: (Y18 => (!! @ $o @ (^[Y19 : $o]: (Y19))))) @ Y14) @ (Y16 = Y17)))))))))) @ (c_In @ c_Empty @ Y13) @ Y11 @ Y12)))))) @ Y9 @ Y10))))) @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $i]: ((^[Y15 : $i]: (c_Eps_i @ (^[Y16 : $i]: ((^[Y17 : $o]: ((^[Y18 : $o]: (!! 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@ $o @ (^[Y16 : $o]: ((Y14 => Y16) => ((Y15 => Y16) => Y16))))))) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ Y10 @ (Y11 = Y13)) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ ((^[Y14 : $o]: (Y14 => (!! @ $o @ (^[Y15 : $o]: (Y15))))) @ Y10) @ (Y12 = Y13)))))))))) @ (c_In @ c_Empty @ Y9) @ Y7 @ Y8)))))) @ Y5 @ Y6))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_Eps_i @ (^[Y12 : $i]: ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => Y15) => ((Y14 => Y15) => Y15))))))) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ Y9 @ (Y10 = Y12)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (!! @ $o @ (^[Y15 : $o]: ((Y13 => (Y14 => Y15)) => Y15)))))) @ ((^[Y13 : $o]: (Y13 => (!! @ $o @ (^[Y14 : $o]: (Y14))))) @ Y9) @ (Y11 = Y12)))))))))) @ (c_In @ c_Empty @ Y8) @ Y6 @ Y7)))))) @ Y5 @ Y5)) @ c_Empty) @ (c_Repl @ Y3 @ (^[Y5 : $i]: (Y4 @ Y5))))))) @ c_Empty)))))) @ (^[Y0 : $i]: (sK10 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))) @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i > $i > $i]: (c_Empty)))) @ (^[Y0 : $i > $i > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Union @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $o]: (!! 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@ $o @ (^[Y19 : $o]: ((Y17 => (Y18 => Y19)) => Y19)))))) @ ((^[Y17 : $o]: (Y17 => (!! @ $o @ (^[Y18 : $o]: (Y18))))) @ Y13) @ (Y15 = Y16)))))))))) @ (c_In @ c_Empty @ Y12) @ Y10 @ Y11)))))) @ Y8 @ Y9))))) @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y11 : $i]: ((^[Y12 : $o]: ((^[Y13 : $i]: ((^[Y14 : $i]: (c_Eps_i @ (^[Y15 : $i]: ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => Y18) => ((Y17 => Y18) => Y18))))))) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ Y12 @ (Y13 = Y15)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (!! @ $o @ (^[Y18 : $o]: ((Y16 => (Y17 => Y18)) => Y18)))))) @ ((^[Y16 : $o]: (Y16 => (!! @ $o @ (^[Y17 : $o]: (Y17))))) @ Y12) @ (Y14 = Y15)))))))))) @ (c_In @ c_Empty @ Y11) @ Y9 @ Y10)))))) @ Y8 @ Y8)) @ c_Empty) @ (c_Repl @ Y6 @ (^[Y8 : $i]: (Y7 @ Y8))))))) @ Y5)))) @ Y3))) @ (c_Repl @ Y2 @ (^[Y3 : $i]: ((^[Y4 : $i > ($i > $i) > $i]: ((^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (c_In_rec_poly_G_i @ Y4 @ Y5 @ Y6)))))) @ (^[Y4 : $i]: ((^[Y5 : $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Union @ ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $i]: ((^[Y13 : $i]: (c_Eps_i @ (^[Y14 : $i]: ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => Y17) => ((Y16 => Y17) => Y17))))))) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ Y11 @ (Y12 = Y14)) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (!! @ $o @ (^[Y17 : $o]: ((Y15 => (Y16 => Y17)) => Y17)))))) @ ((^[Y15 : $o]: (Y15 => (!! @ $o @ (^[Y16 : $o]: (Y16))))) @ Y11) @ (Y13 = Y14)))))))))) @ (c_In @ c_Empty @ Y10) @ Y8 @ Y9)))))) @ Y6 @ Y7))))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Repl @ (c_Power @ (c_Power @ c_Empty)) @ (^[Y9 : $i]: ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: (c_Eps_i @ (^[Y13 : $i]: ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => Y16) => ((Y15 => Y16) => Y16))))))) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ Y10 @ (Y11 = Y13)) @ ((^[Y14 : $o]: ((^[Y15 : $o]: (!! @ $o @ (^[Y16 : $o]: ((Y14 => (Y15 => Y16)) => Y16)))))) @ ((^[Y14 : $o]: (Y14 => (!! @ $o @ (^[Y15 : $o]: (Y15))))) @ Y10) @ (Y12 = Y13)))))))))) @ (c_In @ c_Empty @ Y9) @ Y7 @ Y8)))))) @ Y6 @ Y6)) @ c_Empty) @ (c_Repl @ Y4 @ (^[Y6 : $i]: (Y5 @ Y6))))))) @ Y3))))))) @ c_Empty @ c_Empty))))) @ (sK12 @ (^[Y0 : $i]: (X5 @ c_Empty)) @ (X6 @ (X4 @ (sK12 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))))))) )),
% 13.52/2.10 inference(definition_unfolding,[],[f398,f438,f434,f438,f434,f435,f435,f438])).
% 13.52/2.10 thf(f398,plain,(
% 13.52/2.10 ( ! [X6 : $i > $i,X4 : $i > ($i > $i > $i) > $i,X5 : $i > $i] : (((c_setsum @ (X5 @ (X6 @ (sK10 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: (sK10 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))) @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : $i > $i > $i]: (c_Empty)))) @ (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ (sK12 @ (^[Y0 : $i]: (X5 @ c_Empty)) @ (X6 @ (X4 @ (sK12 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))))) = (sK11 @ (^[Y0 : ($i > $i > $i > $i) > $i]: ((^[Y1 : $i]: (X5 @ (sK11 @ (^[Y2 : ($i > $i > $i > $i) > $i]: ((^[Y3 : $i]: (sK10 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ (^[Y4 : $i > $i > $i]: (sK9 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : $i]: (c_Empty)))))))) @ (c_Inj0 @ (sK10 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))))) @ (sK9 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ (^[Y0 : $i]: (c_Empty)))))) )),
% 13.52/2.10 inference(cnf_transformation,[],[f321])).
% 13.52/2.10 thf(f1367,plain,(
% 13.52/2.10 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = (c_In @ (sK18 @ X1 @ X0) @ X0)) | ($true = X2)) )),
% 13.52/2.10 inference(subsumption_resolution,[],[f546,f1274])).
% 13.52/2.10 thf(f1274,plain,(
% 13.52/2.10 ( ! [X2 : $i > $o,X3 : $i,X0 : $i,X1 : $i] : (((c_In @ X1 @ X0) != $true) | ((X2 @ X3) = $true)) )),
% 13.52/2.10 inference(superposition,[],[f1242,f1075])).
% 13.52/2.10 thf(f1242,plain,(
% 13.52/2.10 ( ! [X3 : $i,X0 : $i > $o,X1 : $i] : (($true != (c_In @ X3 @ (c_Union @ c_Empty))) | ((X0 @ X1) = $true)) )),
% 13.52/2.10 inference(subsumption_resolution,[],[f1145,f1227])).
% 13.52/2.10 thf(f1227,plain,(
% 13.52/2.10 ( ! [X2 : $i,X0 : $i,X1 : $i > $o] : (((X1 @ X0) != $true) | ((X1 @ X2) = $true)) )),
% 13.52/2.10 inference(superposition,[],[f1148,f1075])).
% 13.52/2.10 thf(f1148,plain,(
% 13.52/2.10 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ (c_Union @ c_Empty)) != $true) | ((X0 @ X1) = $true)) )),
% 13.52/2.10 inference(backward_demodulation,[],[f381,f1075])).
% 13.52/2.10 thf(f381,plain,(
% 13.52/2.10 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ (sK8 @ X0)) != $true) | ((X0 @ X1) = $true)) )),
% 13.52/2.10 inference(cnf_transformation,[],[f318])).
% 13.52/2.10 thf(f318,plain,(
% 13.52/2.10 ! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) = $true) | (! [X3] : (($true = (X0 @ X3)) | ((c_In @ X3 @ (sK8 @ X0)) != $true)) & ((X0 @ (sK8 @ X0)) != $true)))),
% 13.52/2.10 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f316,f317])).
% 13.52/2.10 thf(f317,plain,(
% 13.52/2.10 ! [X0 : $i > $o] : (? [X2] : (! [X3] : (($true = (X0 @ X3)) | ((c_In @ X3 @ X2) != $true)) & ((X0 @ X2) != $true)) => (! [X3] : (($true = (X0 @ X3)) | ((c_In @ X3 @ (sK8 @ X0)) != $true)) & ((X0 @ (sK8 @ X0)) != $true)))),
% 13.52/2.10 introduced(choice_axiom,[])).
% 13.52/2.10 thf(f316,plain,(
% 13.52/2.10 ! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) = $true) | ? [X2] : (! [X3] : (($true = (X0 @ X3)) | ((c_In @ X3 @ X2) != $true)) & ((X0 @ X2) != $true)))),
% 13.52/2.10 inference(rectify,[],[f294])).
% 13.52/2.10 thf(f294,plain,(
% 13.52/2.10 ! [X0 : $i > $o] : (! [X3] : ($true = (X0 @ X3)) | ? [X1] : (! [X2] : (((X0 @ X2) = $true) | ((c_In @ X2 @ X1) != $true)) & ((X0 @ X1) != $true)))),
% 13.52/2.10 inference(ennf_transformation,[],[f252])).
% 13.52/2.10 thf(f252,plain,(
% 13.52/2.10 ! [X0 : $i > $o] : (! [X1] : (! [X2] : (((c_In @ X2 @ X1) = $true) => ((X0 @ X2) = $true)) => ((X0 @ X1) = $true)) => ! [X3] : ($true = (X0 @ X3)))),
% 13.52/2.10 inference(fool_elimination,[],[f251])).
% 13.52/2.10 thf(f251,plain,(
% 13.52/2.10 ! [X0 : $i > $o] : (! [X1] : (! [X2] : ((c_In @ X2 @ X1) => (X0 @ X2)) => (X0 @ X1)) => ! [X3] : (X0 @ X3))),
% 13.52/2.10 inference(rectify,[],[f10])).
% 13.52/2.10 thf(f10,axiom,(
% 13.52/2.10 ! [X0 : $i > $o] : (! [X1] : (! [X2] : ((c_In @ X2 @ X1) => (X0 @ X2)) => (X0 @ X1)) => ! [X1] : (X0 @ X1))),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10)).
% 13.52/2.10 thf(f1145,plain,(
% 13.52/2.10 ( ! [X3 : $i,X0 : $i > $o,X1 : $i] : (($true = (X0 @ X3)) | ((X0 @ X1) = $true) | ($true != (c_In @ X3 @ (c_Union @ c_Empty)))) )),
% 13.52/2.10 inference(backward_demodulation,[],[f382,f1075])).
% 13.52/2.10 thf(f382,plain,(
% 13.52/2.10 ( ! [X3 : $i,X0 : $i > $o,X1 : $i] : (((c_In @ X3 @ (sK8 @ X0)) != $true) | ($true = (X0 @ X3)) | ((X0 @ X1) = $true)) )),
% 13.52/2.10 inference(cnf_transformation,[],[f318])).
% 13.52/2.10 thf(f546,plain,(
% 13.52/2.10 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = (c_In @ X0 @ (c_Power @ X1))) | ($true = X2) | ($true = (c_In @ (sK18 @ X1 @ X0) @ X0))) )),
% 13.52/2.10 inference(binary_proxy_clausification,[],[f544])).
% 13.52/2.10 thf(f544,plain,(
% 13.52/2.10 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($false = ((c_In @ (sK18 @ X1 @ X0) @ X0) => (c_In @ (sK18 @ X1 @ X0) @ X1))) | ($true = (c_In @ X0 @ (c_Power @ X1))) | ($true = X2)) )),
% 13.52/2.10 inference(beta_eta_normalization,[],[f543])).
% 13.52/2.10 thf(f543,plain,(
% 13.52/2.10 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = (c_In @ X0 @ (c_Power @ X1))) | (((^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1))) @ (sK18 @ X1 @ X0)) = $false) | ($true = X2)) )),
% 13.52/2.10 inference(sigma_clausification,[],[f542])).
% 13.52/2.10 thf(f542,plain,(
% 13.52/2.10 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = X2) | ($true = (c_In @ X0 @ (c_Power @ X1))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1)))))) )),
% 13.52/2.10 inference(binary_proxy_clausification,[],[f541])).
% 13.52/2.10 thf(f541,plain,(
% 13.52/2.10 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = X2) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1)))) => (c_In @ X0 @ (c_Power @ X1))))) )),
% 13.52/2.10 inference(binary_proxy_clausification,[],[f534])).
% 13.52/2.10 thf(f534,plain,(
% 13.52/2.10 ( ! [X2 : $o,X0 : $i,X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1)))) => (c_In @ X0 @ (c_Power @ X1))) => X2) = $false) | ($true = X2)) )),
% 13.52/2.10 inference(binary_proxy_clausification,[],[f533])).
% 13.52/2.10 thf(f533,plain,(
% 13.52/2.10 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = X2) | ((((c_In @ X0 @ (c_Power @ X1)) => (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1))))) => (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1)))) => (c_In @ X0 @ (c_Power @ X1))) => X2)) = $false)) )),
% 13.52/2.10 inference(binary_proxy_clausification,[],[f532])).
% 13.52/2.10 thf(f532,plain,(
% 13.52/2.10 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = ((((c_In @ X0 @ (c_Power @ X1)) => (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1))))) => (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X0) => (c_In @ Y0 @ X1)))) => (c_In @ X0 @ (c_Power @ X1))) => X2)) => X2))) )),
% 13.52/2.10 inference(beta_eta_normalization,[],[f531])).
% 13.52/2.10 thf(f531,plain,(
% 13.52/2.10 ( ! [X2 : $o,X0 : $i,X1 : $i] : ((((^[Y0 : $o]: ((((c_In @ X0 @ (c_Power @ X1)) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X0) => (c_In @ Y1 @ X1))))) => (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X0) => (c_In @ Y1 @ X1)))) => (c_In @ X0 @ (c_Power @ X1))) => Y0)) => Y0)) @ X2) = $true)) )),
% 13.52/2.10 inference(pi_clausification,[],[f530])).
% 13.52/2.10 thf(f530,plain,(
% 13.52/2.10 ( ! [X0 : $i,X1 : $i] : (($true = (!! @ $o @ (^[Y0 : $o]: ((((c_In @ X0 @ (c_Power @ X1)) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X0) => (c_In @ Y1 @ X1))))) => (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X0) => (c_In @ Y1 @ X1)))) => (c_In @ X0 @ (c_Power @ X1))) => Y0)) => Y0))))) )),
% 13.52/2.10 inference(beta_eta_normalization,[],[f458])).
% 13.52/2.10 thf(f458,plain,(
% 13.52/2.10 ( ! [X0 : $i,X1 : $i] : (($true = ((^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ (Y0 => Y1) @ (Y1 => Y0))))) @ (c_In @ X0 @ (c_Power @ X1)) @ ((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))) @ X0 @ X1)))) )),
% 13.52/2.10 inference(definition_unfolding,[],[f323,f409,f328])).
% 13.52/2.10 thf(f328,plain,(
% 13.52/2.10 (c_Subq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))))),
% 13.52/2.10 inference(cnf_transformation,[],[f167])).
% 13.52/2.10 thf(f167,plain,(
% 13.52/2.10 (c_Subq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))))),
% 13.52/2.10 inference(fool_elimination,[],[f166])).
% 13.52/2.10 thf(f166,plain,(
% 13.52/2.10 (c_Subq = (^[X0 : $i, X1 : $i] : (! [X2] : ((c_In @ X2 @ X0) => (c_In @ X2 @ X1)))))),
% 13.52/2.10 inference(rectify,[],[f17])).
% 13.52/2.10 thf(f17,axiom,(
% 13.52/2.10 (c_Subq = (^[X0 : $i, X1 : $i] : (! [X2] : ((c_In @ X2 @ X0) => (c_In @ X2 @ X1)))))),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17)).
% 13.52/2.10 thf(f409,plain,(
% 13.52/2.10 (c_iff = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ (Y0 => Y1) @ (Y1 => Y0))))))),
% 13.52/2.10 inference(definition_unfolding,[],[f345,f327])).
% 13.52/2.10 thf(f345,plain,(
% 13.52/2.10 (c_iff = (^[Y0 : $o]: ((^[Y1 : $o]: (c_and @ (Y0 => Y1) @ (Y1 => Y0))))))),
% 13.52/2.10 inference(cnf_transformation,[],[f171])).
% 13.52/2.10 thf(f171,plain,(
% 13.52/2.10 (c_iff = (^[Y0 : $o]: ((^[Y1 : $o]: (c_and @ (Y0 => Y1) @ (Y1 => Y0))))))),
% 13.52/2.10 inference(fool_elimination,[],[f170])).
% 13.52/2.10 thf(f170,plain,(
% 13.52/2.10 (c_iff = (^[X0 : $o, X1 : $o] : (c_and @ X0 => X1 @ X1 => X0)))),
% 13.52/2.10 inference(rectify,[],[f16])).
% 13.52/2.10 thf(f16,axiom,(
% 13.52/2.10 (c_iff = (^[X0 : $o, X1 : $o] : (c_and @ X0 => X1 @ X1 => X0)))),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16)).
% 13.52/2.10 thf(f323,plain,(
% 13.52/2.10 ( ! [X0 : $i,X1 : $i] : (($true = (c_iff @ (c_In @ X0 @ (c_Power @ X1)) @ (c_Subq @ X0 @ X1)))) )),
% 13.52/2.10 inference(cnf_transformation,[],[f115])).
% 13.52/2.10 thf(f115,plain,(
% 13.52/2.10 ! [X0,X1] : ($true = (c_iff @ (c_In @ X0 @ (c_Power @ X1)) @ (c_Subq @ X0 @ X1)))),
% 13.52/2.10 inference(fool_elimination,[],[f114])).
% 13.52/2.10 thf(f114,plain,(
% 13.52/2.10 ! [X0,X1] : (c_iff @ (c_In @ X0 @ (c_Power @ X1)) @ (c_Subq @ X0 @ X1))),
% 13.52/2.10 inference(rectify,[],[f7])).
% 13.52/2.10 thf(f7,axiom,(
% 13.52/2.10 ! [X1,X0] : (c_iff @ (c_In @ X1 @ (c_Power @ X0)) @ (c_Subq @ X1 @ X0))),
% 13.52/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7)).
% 13.52/2.10 thf(f578,plain,(
% 13.52/2.10 ($false = sK21)),
% 13.52/2.10 inference(beta_eta_normalization,[],[f577])).
% 13.52/2.10 thf(f577,plain,(
% 13.52/2.10 (((^[Y0 : $o]: (Y0)) @ sK21) = $false)),
% 13.52/2.10 inference(sigma_clausification,[],[f468])).
% 13.52/2.10 thf(f468,plain,(
% 13.52/2.10 ($true != (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 13.52/2.10 inference(definition_unfolding,[],[f393,f402])).
% 13.52/2.10 thf(f393,plain,(
% 13.52/2.10 (c_False != $true)),
% 13.52/2.10 inference(cnf_transformation,[],[f321])).
% 13.52/2.10 thf(f1298,plain,(
% 13.52/2.10 ( ! [X0 : $i > $o] : (((sP0 @ X0) = $false)) )),
% 13.52/2.10 inference(trivial_inequality_removal,[],[f1297])).
% 13.52/2.10 thf(f1297,plain,(
% 13.52/2.10 ( ! [X0 : $i > $o] : (($true != $true) | ((sP0 @ X0) = $false)) )),
% 13.52/2.10 inference(superposition,[],[f1296,f540])).
% 13.52/2.10 thf(f540,plain,(
% 13.52/2.10 ( ! [X2 : $o] : (($true = X2) | ($false = X2)) )),
% 13.52/2.10 inference(binary_proxy_clausification,[],[f534])).
% 13.52/2.10 thf(f1296,plain,(
% 13.52/2.10 ( ! [X0 : $i > $o] : (($true != (sP0 @ X0))) )),
% 13.52/2.10 inference(subsumption_resolution,[],[f1138,f1135])).
% 13.52/2.10 thf(f1135,plain,(
% 13.52/2.10 ( ! [X0 : $i > $o] : (($true != (sP0 @ X0)) | ((X0 @ (c_Union @ c_Empty)) = $true)) )),
% 13.52/2.10 inference(backward_demodulation,[],[f369,f1075])).
% 13.52/2.10 thf(f369,plain,(
% 13.52/2.10 ( ! [X0 : $i > $o] : (($true != (sP0 @ X0)) | ($true = (X0 @ (sK4 @ X0)))) )),
% 13.52/2.10 inference(cnf_transformation,[],[f311])).
% 13.52/2.10 thf(f311,plain,(
% 13.52/2.10 ! [X0 : $i > $o] : ((($true = (X0 @ (sK4 @ X0))) & (((c_In @ (sK5 @ X0) @ (sK4 @ X0)) = $true) & ($true != (X0 @ (sK5 @ X0))))) | ($true != (sP0 @ X0)))),
% 13.52/2.10 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f308,f310,f309])).
% 13.52/2.10 thf(f309,plain,(
% 13.52/2.10 ! [X0 : $i > $o] : (? [X1] : (((X0 @ X1) = $true) & ? [X2] : (((c_In @ X2 @ X1) = $true) & ((X0 @ X2) != $true))) => (($true = (X0 @ (sK4 @ X0))) & ? [X2] : (($true = (c_In @ X2 @ (sK4 @ X0))) & ((X0 @ X2) != $true))))),
% 13.52/2.10 introduced(choice_axiom,[])).
% 13.52/2.10 thf(f310,plain,(
% 13.52/2.10 ! [X0 : $i > $o] : (? [X2] : (($true = (c_In @ X2 @ (sK4 @ X0))) & ((X0 @ X2) != $true)) => (((c_In @ (sK5 @ X0) @ (sK4 @ X0)) = $true) & ($true != (X0 @ (sK5 @ X0)))))),
% 13.52/2.10 introduced(choice_axiom,[])).
% 13.52/2.10 thf(f308,plain,(
% 13.52/2.10 ! [X0 : $i > $o] : (? [X1] : (((X0 @ X1) = $true) & ? [X2] : (((c_In @ X2 @ X1) = $true) & ((X0 @ X2) != $true))) | ($true != (sP0 @ X0)))),
% 13.52/2.10 inference(nnf_transformation,[],[f300])).
% 13.52/2.10 thf(f300,plain,(
% 13.52/2.10 ! [X0 : $i > $o] : (? [X1] : (((X0 @ X1) = $true) & ? [X2] : (((c_In @ X2 @ X1) = $true) & ((X0 @ X2) != $true))) | ~($true = (sP0 @ X0)))),
% 13.52/2.10 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 13.52/2.10 thf(f1138,plain,(
% 13.52/2.10 ( ! [X0 : $i > $o] : (($true != (sP0 @ X0)) | ((X0 @ (c_Union @ c_Empty)) != $true)) )),
% 13.52/2.10 inference(backward_demodulation,[],[f367,f1075])).
% 13.52/2.10 thf(f367,plain,(
% 13.52/2.10 ( ! [X0 : $i > $o] : (($true != (X0 @ (sK5 @ X0))) | ($true != (sP0 @ X0))) )),
% 13.52/2.10 inference(cnf_transformation,[],[f311])).
% 13.52/2.10 % SZS output end Proof for theBenchmark
% 13.52/2.10 % (16011)------------------------------
% 13.52/2.10 % (16011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.52/2.10 % (16011)Termination reason: Refutation
% 13.52/2.10
% 13.52/2.10 % (16011)Memory used [KB]: 4477
% 13.52/2.10 % (16011)Time elapsed: 0.640 s
% 13.52/2.10 % (16011)Instructions burned: 1457 (million)
% 13.52/2.10 % (16011)------------------------------
% 13.52/2.10 % (16011)------------------------------
% 13.52/2.10 % (15907)Success in time 1.767 s
% 13.52/2.10 % Vampire---4.8 exiting
%------------------------------------------------------------------------------