TSTP Solution File: SEU473^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU473^1 : TPTP v8.2.0. Released v3.6.0.
% 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:49:03 EDT 2024
% Result : Theorem 1.31s 0.53s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU473^1 : TPTP v8.2.0. Released v3.6.0.
% 0.15/0.15 % 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
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 15:24:38 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 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
% 0.23/0.39 % (12564)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.39 % (12565)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)
% 0.23/0.39 % (12566)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)
% 0.23/0.39 % (12567)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.39 % (12568)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)
% 0.23/0.39 % (12570)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.39 % (12567)Instruction limit reached!
% 0.23/0.39 % (12567)------------------------------
% 0.23/0.39 % (12567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (12567)Termination reason: Unknown
% 0.23/0.39 % (12567)Termination phase: shuffling
% 0.23/0.39 % (12568)Instruction limit reached!
% 0.23/0.39 % (12568)------------------------------
% 0.23/0.39 % (12568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (12568)Termination reason: Unknown
% 0.23/0.39 % (12568)Termination phase: shuffling
% 0.23/0.39
% 0.23/0.39 % (12568)Memory used [KB]: 1023
% 0.23/0.39 % (12568)Time elapsed: 0.003 s
% 0.23/0.39 % (12568)Instructions burned: 2 (million)
% 0.23/0.39 % (12568)------------------------------
% 0.23/0.39 % (12568)------------------------------
% 0.23/0.39
% 0.23/0.39 % (12567)Memory used [KB]: 1023
% 0.23/0.39 % (12567)Time elapsed: 0.003 s
% 0.23/0.39 % (12567)Instructions burned: 2 (million)
% 0.23/0.39 % (12567)------------------------------
% 0.23/0.39 % (12567)------------------------------
% 0.23/0.40 % (12565)Instruction limit reached!
% 0.23/0.40 % (12565)------------------------------
% 0.23/0.40 % (12565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (12565)Termination reason: Unknown
% 0.23/0.40 % (12565)Termination phase: Property scanning
% 0.23/0.40
% 0.23/0.40 % (12565)Memory used [KB]: 1023
% 0.23/0.40 % (12565)Time elapsed: 0.005 s
% 0.23/0.40 % (12565)Instructions burned: 5 (million)
% 0.23/0.40 % (12565)------------------------------
% 0.23/0.40 % (12565)------------------------------
% 0.23/0.40 % (12569)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)
% 0.23/0.40 % (12569)Refutation not found, incomplete strategy
% 0.23/0.40 % (12569)------------------------------
% 0.23/0.40 % (12569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (12569)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.40
% 0.23/0.40
% 0.23/0.40 % (12569)Memory used [KB]: 5628
% 0.23/0.40 % (12569)Time elapsed: 0.009 s
% 0.23/0.40 % (12569)Instructions burned: 9 (million)
% 0.23/0.40 % (12569)------------------------------
% 0.23/0.40 % (12569)------------------------------
% 0.23/0.40 % (12570)Instruction limit reached!
% 0.23/0.40 % (12570)------------------------------
% 0.23/0.40 % (12570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (12570)Termination reason: Unknown
% 0.23/0.40 % (12570)Termination phase: Saturation
% 0.23/0.40
% 0.23/0.40 % (12570)Memory used [KB]: 5628
% 0.23/0.40 % (12570)Time elapsed: 0.011 s
% 0.23/0.40 % (12570)Instructions burned: 18 (million)
% 0.23/0.40 % (12570)------------------------------
% 0.23/0.40 % (12570)------------------------------
% 0.23/0.41 % (12566)Instruction limit reached!
% 0.23/0.41 % (12566)------------------------------
% 0.23/0.41 % (12566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (12566)Termination reason: Unknown
% 0.23/0.41 % (12566)Termination phase: Saturation
% 0.23/0.41
% 0.23/0.41 % (12566)Memory used [KB]: 5628
% 0.23/0.41 % (12566)Time elapsed: 0.015 s
% 0.23/0.41 % (12566)Instructions burned: 27 (million)
% 0.23/0.41 % (12566)------------------------------
% 0.23/0.41 % (12566)------------------------------
% 0.23/0.41 % (12571)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)
% 0.23/0.41 % (12573)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)
% 0.23/0.41 % (12571)Instruction limit reached!
% 0.23/0.41 % (12571)------------------------------
% 0.23/0.41 % (12571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (12571)Termination reason: Unknown
% 0.23/0.41 % (12571)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (12571)Memory used [KB]: 1023
% 0.23/0.41 % (12571)Time elapsed: 0.004 s
% 0.23/0.41 % (12571)Instructions burned: 4 (million)
% 0.23/0.41 % (12571)------------------------------
% 0.23/0.41 % (12571)------------------------------
% 0.23/0.41 % (12572)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)
% 0.23/0.41 % (12574)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)
% 0.23/0.41 % (12574)Instruction limit reached!
% 0.23/0.41 % (12574)------------------------------
% 0.23/0.41 % (12574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (12574)Termination reason: Unknown
% 0.23/0.41 % (12574)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (12574)Memory used [KB]: 1023
% 0.23/0.41 % (12574)Time elapsed: 0.004 s
% 0.23/0.41 % (12574)Instructions burned: 4 (million)
% 0.23/0.41 % (12574)------------------------------
% 0.23/0.41 % (12574)------------------------------
% 0.23/0.41 % (12573)Instruction limit reached!
% 0.23/0.41 % (12573)------------------------------
% 0.23/0.41 % (12573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (12573)Termination reason: Unknown
% 0.23/0.41 % (12573)Termination phase: Saturation
% 0.23/0.41
% 0.23/0.41 % (12573)Memory used [KB]: 5628
% 0.23/0.41 % (12573)Time elapsed: 0.008 s
% 0.23/0.41 % (12573)Instructions burned: 16 (million)
% 0.23/0.41 % (12573)------------------------------
% 0.23/0.41 % (12573)------------------------------
% 0.23/0.42 % (12575)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)
% 0.23/0.42 % (12576)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.42 % (12577)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.42 % (12576)Instruction limit reached!
% 0.23/0.42 % (12576)------------------------------
% 0.23/0.42 % (12576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (12576)Termination reason: Unknown
% 0.23/0.42 % (12576)Termination phase: Property scanning
% 0.23/0.42
% 0.23/0.42 % (12576)Memory used [KB]: 1023
% 0.23/0.42 % (12576)Time elapsed: 0.006 s
% 0.23/0.42 % (12576)Instructions burned: 8 (million)
% 0.23/0.42 % (12576)------------------------------
% 0.23/0.42 % (12576)------------------------------
% 0.23/0.42 % (12578)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)
% 0.23/0.43 % (12578)Instruction limit reached!
% 0.23/0.43 % (12578)------------------------------
% 0.23/0.43 % (12578)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (12578)Termination reason: Unknown
% 0.23/0.43 % (12578)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (12578)Memory used [KB]: 1023
% 0.23/0.43 % (12578)Time elapsed: 0.004 s
% 0.23/0.43 % (12578)Instructions burned: 4 (million)
% 0.23/0.43 % (12578)------------------------------
% 0.23/0.43 % (12578)------------------------------
% 0.23/0.43 % (12579)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)
% 0.23/0.43 % (12580)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)
% 0.23/0.43 % (12572)Instruction limit reached!
% 0.23/0.43 % (12572)------------------------------
% 0.23/0.43 % (12572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (12572)Termination reason: Unknown
% 0.23/0.43 % (12572)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (12572)Memory used [KB]: 5756
% 0.23/0.43 % (12572)Time elapsed: 0.021 s
% 0.23/0.43 % (12572)Instructions burned: 38 (million)
% 0.23/0.43 % (12572)------------------------------
% 0.23/0.43 % (12572)------------------------------
% 0.23/0.43 % (12579)Instruction limit reached!
% 0.23/0.43 % (12579)------------------------------
% 0.23/0.43 % (12579)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (12579)Termination reason: Unknown
% 0.23/0.43 % (12579)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (12579)Memory used [KB]: 1023
% 0.23/0.43 % (12579)Time elapsed: 0.004 s
% 0.23/0.43 % (12579)Instructions burned: 4 (million)
% 0.23/0.43 % (12579)------------------------------
% 0.23/0.43 % (12579)------------------------------
% 0.23/0.43 % (12580)Instruction limit reached!
% 0.23/0.43 % (12580)------------------------------
% 0.23/0.43 % (12580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (12577)Instruction limit reached!
% 0.23/0.43 % (12577)------------------------------
% 0.23/0.43 % (12577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (12577)Termination reason: Unknown
% 0.23/0.43 % (12577)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (12577)Memory used [KB]: 5884
% 0.23/0.43 % (12577)Time elapsed: 0.012 s
% 0.23/0.43 % (12577)Instructions burned: 17 (million)
% 0.23/0.43 % (12577)------------------------------
% 0.23/0.43 % (12577)------------------------------
% 0.23/0.43 % (12580)Termination reason: Unknown
% 0.23/0.43 % (12580)Termination phase: Function definition elimination
% 0.23/0.43
% 0.23/0.43 % (12580)Memory used [KB]: 1023
% 0.23/0.43 % (12580)Time elapsed: 0.005 s
% 0.23/0.43 % (12580)Instructions burned: 8 (million)
% 0.23/0.43 % (12580)------------------------------
% 0.23/0.43 % (12580)------------------------------
% 0.23/0.44 % (12581)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)
% 0.23/0.44 % (12581)Instruction limit reached!
% 0.23/0.44 % (12581)------------------------------
% 0.23/0.44 % (12581)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (12581)Termination reason: Unknown
% 0.23/0.44 % (12581)Termination phase: Property scanning
% 0.23/0.44
% 0.23/0.44 % (12581)Memory used [KB]: 1023
% 0.23/0.44 % (12581)Time elapsed: 0.004 s
% 0.23/0.44 % (12581)Instructions burned: 4 (million)
% 0.23/0.44 % (12581)------------------------------
% 0.23/0.44 % (12581)------------------------------
% 0.23/0.44 % (12582)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.44 % (12582)Instruction limit reached!
% 0.23/0.44 % (12582)------------------------------
% 0.23/0.44 % (12582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (12582)Termination reason: Unknown
% 0.23/0.44 % (12582)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (12582)Memory used [KB]: 1023
% 0.23/0.44 % (12582)Time elapsed: 0.004 s
% 0.23/0.44 % (12582)Instructions burned: 4 (million)
% 0.23/0.44 % (12582)------------------------------
% 0.23/0.44 % (12582)------------------------------
% 0.23/0.44 % (12583)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)
% 0.23/0.44 % (12584)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.45 % (12586)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)
% 0.23/0.45 % (12585)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.45 % (12586)Refutation not found, incomplete strategy
% 0.23/0.45 % (12586)------------------------------
% 0.23/0.45 % (12586)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (12586)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.45
% 0.23/0.45
% 0.23/0.45 % (12586)Memory used [KB]: 5628
% 0.23/0.45 % (12586)Time elapsed: 0.004 s
% 0.23/0.45 % (12586)Instructions burned: 10 (million)
% 0.23/0.45 % (12586)------------------------------
% 0.23/0.45 % (12586)------------------------------
% 0.23/0.45 % (12585)Instruction limit reached!
% 0.23/0.45 % (12585)------------------------------
% 0.23/0.45 % (12585)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (12585)Termination reason: Unknown
% 0.23/0.45 % (12585)Termination phase: Preprocessing 1
% 0.23/0.45
% 0.23/0.45 % (12585)Memory used [KB]: 1023
% 0.23/0.45 % (12585)Time elapsed: 0.005 s
% 0.23/0.45 % (12585)Instructions burned: 6 (million)
% 0.23/0.45 % (12585)------------------------------
% 0.23/0.45 % (12585)------------------------------
% 0.23/0.45 % (12583)Instruction limit reached!
% 0.23/0.45 % (12583)------------------------------
% 0.23/0.45 % (12583)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (12583)Termination reason: Unknown
% 0.23/0.45 % (12583)Termination phase: Saturation
% 0.23/0.45
% 0.23/0.45 % (12583)Memory used [KB]: 5628
% 0.23/0.45 % (12583)Time elapsed: 0.013 s
% 0.23/0.45 % (12583)Instructions burned: 19 (million)
% 0.23/0.45 % (12583)------------------------------
% 0.23/0.45 % (12583)------------------------------
% 0.23/0.46 % (12589)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)
% 0.23/0.46 % (12588)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.46 % (12589)Instruction limit reached!
% 0.23/0.46 % (12589)------------------------------
% 0.23/0.46 % (12589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (12589)Termination reason: Unknown
% 0.23/0.46 % (12589)Termination phase: SInE selection
% 0.23/0.46
% 0.23/0.46 % (12589)Memory used [KB]: 1023
% 0.23/0.46 % (12589)Time elapsed: 0.003 s
% 0.23/0.46 % (12589)Instructions burned: 6 (million)
% 0.23/0.46 % (12589)------------------------------
% 0.23/0.46 % (12589)------------------------------
% 0.23/0.46 % (12587)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)
% 0.23/0.46 % (12588)Instruction limit reached!
% 0.23/0.46 % (12588)------------------------------
% 0.23/0.46 % (12588)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (12588)Termination reason: Unknown
% 0.23/0.46 % (12588)Termination phase: Property scanning
% 0.23/0.46
% 0.23/0.46 % (12588)Memory used [KB]: 1023
% 0.23/0.46 % (12588)Time elapsed: 0.005 s
% 0.23/0.46 % (12588)Instructions burned: 6 (million)
% 0.23/0.46 % (12588)------------------------------
% 0.23/0.46 % (12588)------------------------------
% 0.23/0.46 % (12590)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.47 % (12592)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)
% 0.23/0.47 % (12592)Refutation not found, incomplete strategy
% 0.23/0.47 % (12592)------------------------------
% 0.23/0.47 % (12592)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (12592)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.47
% 0.23/0.47
% 0.23/0.47 % (12592)Memory used [KB]: 5628
% 0.23/0.47 % (12592)Time elapsed: 0.004 s
% 0.23/0.47 % (12592)Instructions burned: 9 (million)
% 0.23/0.47 % (12592)------------------------------
% 0.23/0.47 % (12592)------------------------------
% 0.23/0.47 % (12591)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)
% 0.23/0.47 % (12593)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)
% 0.23/0.48 % (12594)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.23/0.48 % (12587)Instruction limit reached!
% 0.23/0.48 % (12587)------------------------------
% 0.23/0.48 % (12587)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (12587)Termination reason: Unknown
% 0.23/0.48 % (12587)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (12587)Memory used [KB]: 5756
% 0.23/0.48 % (12587)Time elapsed: 0.022 s
% 0.23/0.48 % (12587)Instructions burned: 21 (million)
% 0.23/0.48 % (12587)------------------------------
% 0.23/0.48 % (12587)------------------------------
% 0.23/0.48 % (12594)Instruction limit reached!
% 0.23/0.48 % (12594)------------------------------
% 0.23/0.48 % (12594)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (12594)Termination reason: Unknown
% 0.23/0.48 % (12594)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (12594)Memory used [KB]: 5628
% 0.23/0.48 % (12594)Time elapsed: 0.006 s
% 0.23/0.48 % (12594)Instructions burned: 19 (million)
% 0.23/0.48 % (12594)------------------------------
% 0.23/0.48 % (12594)------------------------------
% 0.23/0.49 % (12596)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.23/0.49 % (12595)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.49 % (12595)Instruction limit reached!
% 0.23/0.49 % (12595)------------------------------
% 0.23/0.49 % (12595)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (12595)Termination reason: Unknown
% 0.23/0.49 % (12595)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (12595)Memory used [KB]: 1023
% 0.23/0.49 % (12595)Time elapsed: 0.003 s
% 0.23/0.49 % (12595)Instructions burned: 4 (million)
% 0.23/0.49 % (12595)------------------------------
% 0.23/0.49 % (12595)------------------------------
% 0.23/0.49 % (12596)Refutation not found, incomplete strategy
% 0.23/0.49 % (12596)------------------------------
% 0.23/0.49 % (12596)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (12596)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.49
% 0.23/0.49
% 0.23/0.49 % (12596)Memory used [KB]: 5628
% 0.23/0.49 % (12596)Time elapsed: 0.005 s
% 0.23/0.49 % (12596)Instructions burned: 14 (million)
% 0.23/0.49 % (12596)------------------------------
% 0.23/0.49 % (12596)------------------------------
% 0.23/0.49 % (12564)Instruction limit reached!
% 0.23/0.49 % (12564)------------------------------
% 0.23/0.49 % (12564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (12564)Termination reason: Unknown
% 0.23/0.49 % (12564)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (12564)Memory used [KB]: 6524
% 0.23/0.49 % (12564)Time elapsed: 0.103 s
% 0.23/0.49 % (12564)Instructions burned: 183 (million)
% 0.23/0.49 % (12564)------------------------------
% 0.23/0.49 % (12564)------------------------------
% 0.23/0.50 % (12598)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)
% 0.23/0.50 % (12597)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)
% 0.23/0.51 % (12599)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 (2998ds/3Mi)
% 0.23/0.51 % (12599)Instruction limit reached!
% 0.23/0.51 % (12599)------------------------------
% 0.23/0.51 % (12599)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (12599)Termination reason: Unknown
% 0.23/0.51 % (12599)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (12599)Memory used [KB]: 1023
% 0.23/0.51 % (12599)Time elapsed: 0.003 s
% 0.23/0.51 % (12599)Instructions burned: 3 (million)
% 0.23/0.51 % (12599)------------------------------
% 0.23/0.51 % (12599)------------------------------
% 0.23/0.52 % (12600)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 (2998ds/20Mi)
% 0.23/0.52 % (12575)First to succeed.
% 0.23/0.52 % (12600)Refutation not found, incomplete strategy
% 0.23/0.52 % (12600)------------------------------
% 0.23/0.52 % (12600)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (12600)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.52
% 0.23/0.52
% 0.23/0.52 % (12600)Memory used [KB]: 5628
% 0.23/0.52 % (12600)Time elapsed: 0.004 s
% 0.23/0.52 % (12600)Instructions burned: 8 (million)
% 0.23/0.52 % (12600)------------------------------
% 0.23/0.52 % (12600)------------------------------
% 1.31/0.53 % (12575)Refutation found. Thanks to Tanya!
% 1.31/0.53 % SZS status Theorem for theBenchmark
% 1.31/0.53 % SZS output start Proof for theBenchmark
% 1.31/0.53 thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
% 1.31/0.53 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_6, type, refl: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
% 1.31/0.53 thf(func_def_9, type, symm: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
% 1.31/0.53 thf(func_def_13, type, trans: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
% 1.31/0.53 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
% 1.31/0.53 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
% 1.31/0.53 thf(func_def_17, type, po: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_18, type, so: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_19, type, total: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_20, type, term: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_21, type, ind: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
% 1.31/0.53 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
% 1.31/0.53 thf(func_def_24, type, norm: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
% 1.31/0.53 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_28, type, confl: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_29, type, cr: ($i > $i > $o) > $o).
% 1.31/0.53 thf(func_def_49, type, ph1: !>[X0: $tType]:(X0)).
% 1.31/0.53 thf(func_def_50, type, sK2: $i > $i > $o).
% 1.31/0.53 thf(func_def_51, type, sK3: $i > $i > $o).
% 1.31/0.53 thf(func_def_54, type, sK6: $i > $i > $o).
% 1.31/0.53 thf(func_def_57, type, sK9: $i > $i > $o).
% 1.31/0.53 thf(f1131,plain,(
% 1.31/0.53 $false),
% 1.31/0.53 inference(avatar_sat_refutation,[],[f218,f771,f1071,f1130])).
% 1.31/0.53 thf(f1130,plain,(
% 1.31/0.53 spl0_17 | ~spl0_1),
% 1.31/0.53 inference(avatar_split_clause,[],[f1129,f213,f714])).
% 1.31/0.53 thf(f714,plain,(
% 1.31/0.53 spl0_17 <=> ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1)))))) = $false)),
% 1.31/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
% 1.31/0.53 thf(f213,plain,(
% 1.31/0.53 spl0_1 <=> ($true = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4)))))),
% 1.31/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 1.31/0.53 thf(f1129,plain,(
% 1.31/0.53 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1)))))) = $false) | ~spl0_1),
% 1.31/0.53 inference(not_proxy_clausification,[],[f1116])).
% 1.31/0.53 thf(f1116,plain,(
% 1.31/0.53 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1)))))))) | ~spl0_1),
% 1.31/0.53 inference(boolean_simplification,[],[f1115])).
% 1.31/0.53 thf(f1115,plain,(
% 1.31/0.53 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1)))))) => $false)) | ~spl0_1),
% 1.31/0.53 inference(forward_demodulation,[],[f1111,f177])).
% 1.31/0.53 thf(f177,plain,(
% 1.31/0.53 ($false = (sK6 @ sK5 @ sK4))),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f175])).
% 1.31/0.53 thf(f175,plain,(
% 1.31/0.53 ($false = (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK6 @ Y0 @ Y2) & (sK6 @ Y2 @ Y1)) => (sK6 @ Y0 @ Y1))))))))) => (sK6 @ sK5 @ sK4)))),
% 1.31/0.53 inference(beta_eta_normalization,[],[f174])).
% 1.31/0.53 thf(f174,plain,(
% 1.31/0.53 ($false = ((^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4))) @ sK6))),
% 1.31/0.53 inference(sigma_clausification,[],[f173])).
% 1.31/0.53 thf(f173,plain,(
% 1.31/0.53 ($false = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4)))))),
% 1.31/0.53 inference(boolean_simplification,[],[f170])).
% 1.31/0.53 thf(f170,plain,(
% 1.31/0.53 ($false = ($false | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4))))))),
% 1.31/0.53 inference(backward_demodulation,[],[f167,f169])).
% 1.31/0.53 thf(f169,plain,(
% 1.31/0.53 ($false = (sK5 = sK4))),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f167])).
% 1.31/0.53 thf(f167,plain,(
% 1.31/0.53 ($false = ((sK5 = sK4) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4))))))),
% 1.31/0.53 inference(boolean_simplification,[],[f166])).
% 1.31/0.53 thf(f166,plain,(
% 1.31/0.53 ($false = ($false | ((sK5 = sK4) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4)))))))),
% 1.31/0.53 inference(backward_demodulation,[],[f163,f165])).
% 1.31/0.53 thf(f165,plain,(
% 1.31/0.53 ($false = ((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5))))))),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f163])).
% 1.31/0.53 thf(f163,plain,(
% 1.31/0.53 ($false = (((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5))))) | ((sK5 = sK4) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4)))))))),
% 1.31/0.53 inference(boolean_simplification,[],[f162])).
% 1.31/0.53 thf(f162,plain,(
% 1.31/0.53 ($false = ($true => (((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5))))) | ((sK5 = sK4) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4))))))))),
% 1.31/0.53 inference(backward_demodulation,[],[f159,f161])).
% 1.31/0.53 thf(f161,plain,(
% 1.31/0.53 ($true = (((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5))))) | ((sK5 = sK4) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4)))))))),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f159])).
% 1.31/0.53 thf(f159,plain,(
% 1.31/0.53 ($false = ((((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5))))) | ((sK5 = sK4) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4)))))) => (((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5))))) | ((sK5 = sK4) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4))))))))),
% 1.31/0.53 inference(beta_eta_normalization,[],[f158])).
% 1.31/0.53 thf(f158,plain,(
% 1.31/0.53 ($false = ((^[Y0 : $i]: ((((sK4 = Y0) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) => (Y1 @ sK4 @ Y0))))) | ((Y0 = sK4) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) => (Y1 @ Y0 @ sK4)))))) => (((sK4 = Y0) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) => (Y1 @ sK4 @ Y0))))) | ((Y0 = sK4) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) => (Y1 @ Y0 @ sK4)))))))) @ sK5))),
% 1.31/0.53 inference(sigma_clausification,[],[f157])).
% 1.31/0.53 thf(f157,plain,(
% 1.31/0.53 ($false = (!! @ $i @ (^[Y0 : $i]: ((((sK4 = Y0) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) => (Y1 @ sK4 @ Y0))))) | ((Y0 = sK4) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK3 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) => (Y1 @ Y0 @ sK4)))))) => (((sK4 = Y0) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) => (Y1 @ sK4 @ Y0))))) | ((Y0 = sK4) | (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK2 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) => (Y1 @ Y0 @ sK4))))))))))),
% 1.31/0.53 inference(beta_eta_normalization,[],[f156])).
% 1.31/0.53 thf(f156,plain,(
% 1.31/0.53 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((Y0 = Y1) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))) | ((Y1 = Y0) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y1 @ Y0)))))) => (((Y0 = Y1) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK2 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))) | ((Y1 = Y0) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK2 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y1 @ Y0)))))))))) @ sK4))),
% 1.31/0.53 inference(sigma_clausification,[],[f145])).
% 1.31/0.53 thf(f145,plain,(
% 1.31/0.53 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((Y0 = Y1) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))) | ((Y1 = Y0) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y1 @ Y0)))))) => (((Y0 = Y1) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK2 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))) | ((Y1 = Y0) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK2 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y1 @ Y0))))))))))))),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f144])).
% 1.31/0.53 thf(f144,plain,(
% 1.31/0.53 ($false = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK2 @ Y0 @ Y1)))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((Y0 = Y1) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))) | ((Y1 = Y0) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK3 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y1 @ Y0)))))) => (((Y0 = Y1) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK2 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))) | ((Y1 = Y0) | (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK2 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y5 @ Y4)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y1 @ Y0)))))))))))))),
% 1.31/0.53 inference(beta_eta_normalization,[],[f143])).
% 1.31/0.53 thf(f143,plain,(
% 1.31/0.53 ($false = ((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (sK2 @ Y1 @ Y2)))))) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y6 @ Y5)) => (Y3 @ Y4 @ Y5))))))))) => (Y3 @ Y1 @ Y2))))) | ((Y2 = Y1) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y6 @ Y5)) => (Y3 @ Y4 @ Y5))))))))) => (Y3 @ Y2 @ Y1)))))) => (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK2 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y6 @ Y5)) => (Y3 @ Y4 @ Y5))))))))) => (Y3 @ Y1 @ Y2))))) | ((Y2 = Y1) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK2 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y6 @ Y5)) => (Y3 @ Y4 @ Y5))))))))) => (Y3 @ Y2 @ Y1))))))))))))) @ sK3))),
% 1.31/0.53 inference(sigma_clausification,[],[f142])).
% 1.31/0.53 thf(f142,plain,(
% 1.31/0.53 ($false = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (sK2 @ Y1 @ Y2)))))) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y6 @ Y5)) => (Y3 @ Y4 @ Y5))))))))) => (Y3 @ Y1 @ Y2))))) | ((Y2 = Y1) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y6 @ Y5)) => (Y3 @ Y4 @ Y5))))))))) => (Y3 @ Y2 @ Y1)))))) => (((Y1 = Y2) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK2 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y6 @ Y5)) => (Y3 @ Y4 @ Y5))))))))) => (Y3 @ Y1 @ Y2))))) | ((Y2 = Y1) | (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((sK2 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y6 @ Y5)) => (Y3 @ Y4 @ Y5))))))))) => (Y3 @ Y2 @ Y1)))))))))))))))),
% 1.31/0.53 inference(beta_eta_normalization,[],[f141])).
% 1.31/0.53 thf(f141,plain,(
% 1.31/0.53 (((^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (Y0 @ Y2 @ Y3)))))) => (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((((Y2 = Y3) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y2 @ Y3))))) | ((Y3 = Y2) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y3 @ Y2)))))) => (((Y2 = Y3) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y0 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y2 @ Y3))))) | ((Y3 = Y2) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y0 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y3 @ Y2))))))))))))))) @ sK2) = $false)),
% 1.31/0.53 inference(sigma_clausification,[],[f138])).
% 1.31/0.53 thf(f138,plain,(
% 1.31/0.53 ($false = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (Y0 @ Y2 @ Y3)))))) => (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((((Y2 = Y3) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y2 @ Y3))))) | ((Y3 = Y2) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y3 @ Y2)))))) => (((Y2 = Y3) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y0 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y2 @ Y3))))) | ((Y3 = Y2) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y0 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y3 @ Y2)))))))))))))))))),
% 1.31/0.53 inference(not_proxy_clausification,[],[f137])).
% 1.31/0.53 thf(f137,plain,(
% 1.31/0.53 ($true = (~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (Y0 @ Y2 @ Y3)))))) => (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((((Y2 = Y3) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y2 @ Y3))))) | ((Y3 = Y2) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y1 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y3 @ Y2)))))) => (((Y2 = Y3) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y0 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y2 @ Y3))))) | ((Y3 = Y2) | (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: (((!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y0 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6)))))) & (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) => (Y4 @ Y3 @ Y2))))))))))))))))))),
% 1.31/0.53 inference(beta_eta_normalization,[],[f136])).
% 1.31/0.53 thf(f136,plain,(
% 1.31/0.53 ($true = (~ ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))))) @ Y2 @ Y1) => ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))))) @ (Y0 @ Y2) @ (Y0 @ Y1)))))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y2 @ Y3) | (Y1 @ Y3 @ Y2))))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y2 = Y3) | (Y1 @ Y2 @ Y3))))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: ((((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $i > $o]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))))) @ Y1 @ Y4) & ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y8) & (Y5 @ Y8 @ Y7)) => (Y5 @ Y6 @ Y7))))))))) @ Y4)) => (Y4 @ Y2 @ Y3))))))))) @ Y0)))))))),
% 1.31/0.53 inference(definition_unfolding,[],[f111,f122,f125])).
% 1.31/0.53 thf(f125,plain,(
% 1.31/0.53 (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y2 @ Y3) | (Y1 @ Y3 @ Y2))))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y2 = Y3) | (Y1 @ Y2 @ Y3))))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: ((((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $i > $o]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))))) @ Y1 @ Y4) & ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y6 @ Y8) & (Y5 @ Y8 @ Y7)) => (Y5 @ Y6 @ Y7))))))))) @ Y4)) => (Y4 @ Y2 @ Y3))))))))) @ Y0)))))),
% 1.31/0.53 inference(definition_unfolding,[],[f91,f94,f107,f123])).
% 1.31/0.53 thf(f123,plain,(
% 1.31/0.53 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: ((((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y6 @ Y7))))))))) @ Y0 @ Y3) & ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y7 @ Y6)) => (Y4 @ Y5 @ Y6))))))))) @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 1.31/0.53 inference(definition_unfolding,[],[f101,f103,f105])).
% 1.31/0.53 thf(f105,plain,(
% 1.31/0.53 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))))),
% 1.31/0.53 inference(cnf_transformation,[],[f42])).
% 1.31/0.53 thf(f42,plain,(
% 1.31/0.53 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))))),
% 1.31/0.53 inference(fool_elimination,[],[f41])).
% 1.31/0.53 thf(f41,plain,(
% 1.31/0.53 (trans = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X1 @ X2) & (X0 @ X3 @ X1)) => (X0 @ X3 @ X2)))))),
% 1.31/0.53 inference(rectify,[],[f13])).
% 1.31/0.53 thf(f13,axiom,(
% 1.31/0.53 (trans = (^[X0 : $i > $i > $o] : (! [X3,X5,X2] : (((X0 @ X3 @ X5) & (X0 @ X2 @ X3)) => (X0 @ X2 @ X5)))))),
% 1.31/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive)).
% 1.31/0.53 thf(f103,plain,(
% 1.31/0.53 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
% 1.31/0.53 inference(cnf_transformation,[],[f82])).
% 1.31/0.53 thf(f82,plain,(
% 1.31/0.53 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
% 1.31/0.53 inference(fool_elimination,[],[f81])).
% 1.31/0.53 thf(f81,plain,(
% 1.31/0.53 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X3 @ X2) => (X1 @ X3 @ X2)))))),
% 1.31/0.53 inference(rectify,[],[f1])).
% 1.31/0.53 thf(f1,axiom,(
% 1.31/0.53 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X3,X2] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))),
% 1.31/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subrel)).
% 1.31/0.53 thf(f101,plain,(
% 1.31/0.53 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 1.31/0.53 inference(cnf_transformation,[],[f52])).
% 1.31/0.53 thf(f52,plain,(
% 1.31/0.53 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
% 1.31/0.53 inference(fool_elimination,[],[f51])).
% 1.31/0.53 thf(f51,plain,(
% 1.31/0.53 (tc = (^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (! [X3 : $i > $i > $o] : (((trans @ X3) & (subrel @ X0 @ X3)) => (X3 @ X1 @ X2)))))),
% 1.31/0.53 inference(rectify,[],[f14])).
% 1.31/0.53 thf(f14,axiom,(
% 1.31/0.53 (tc = (^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : (! [X1 : $i > $i > $o] : (((trans @ X1) & (subrel @ X0 @ X1)) => (X1 @ X2 @ X3)))))),
% 1.31/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_closure)).
% 1.31/0.53 thf(f107,plain,(
% 1.31/0.53 (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2))))))))),
% 1.31/0.53 inference(cnf_transformation,[],[f60])).
% 1.31/0.53 thf(f60,plain,(
% 1.31/0.53 (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y1 = Y2) | (Y0 @ Y1 @ Y2))))))))),
% 1.31/0.53 inference(fool_elimination,[],[f59])).
% 1.31/0.53 thf(f59,plain,(
% 1.31/0.53 ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : ((X0 @ X1 @ X2) | (X1 = X2))) = rc)),
% 1.31/0.53 inference(rectify,[],[f8])).
% 1.31/0.53 thf(f8,axiom,(
% 1.31/0.53 ((^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : ((X0 @ X2 @ X3) | (X2 = X3))) = rc)),
% 1.31/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexive_closure)).
% 1.31/0.53 thf(f94,plain,(
% 1.31/0.53 (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1))))))))),
% 1.31/0.53 inference(cnf_transformation,[],[f70])).
% 1.31/0.53 thf(f70,plain,(
% 1.31/0.53 (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1))))))))),
% 1.31/0.53 inference(fool_elimination,[],[f69])).
% 1.31/0.53 thf(f69,plain,(
% 1.31/0.53 (sc = (^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : ((X0 @ X2 @ X1) | (X0 @ X1 @ X2))))),
% 1.31/0.53 inference(rectify,[],[f12])).
% 1.31/0.53 thf(f12,axiom,(
% 1.31/0.53 (sc = (^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : ((X0 @ X3 @ X2) | (X0 @ X2 @ X3))))),
% 1.31/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_closure)).
% 1.31/0.53 thf(f91,plain,(
% 1.31/0.53 (trsc = (^[Y0 : $i > $i > $o]: (sc @ (rc @ (tc @ Y0)))))),
% 1.31/0.53 inference(cnf_transformation,[],[f85])).
% 1.31/0.53 thf(f85,plain,(
% 1.31/0.53 (trsc = (^[Y0 : $i > $i > $o]: (sc @ (rc @ (tc @ Y0)))))),
% 1.31/0.53 inference(fool_elimination,[],[f16])).
% 1.31/0.53 thf(f16,axiom,(
% 1.31/0.53 ((^[X0 : $i > $i > $o] : (sc @ (rc @ (tc @ X0)))) = trsc)),
% 1.31/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_reflexive_symmetric_closure)).
% 1.31/0.53 thf(f122,plain,(
% 1.31/0.53 (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))))) @ Y2 @ Y1) => ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y5 @ Y6))))))))) @ (Y0 @ Y2) @ (Y0 @ Y1)))))))))),
% 1.31/0.53 inference(definition_unfolding,[],[f109,f103,f103])).
% 1.31/0.53 thf(f109,plain,(
% 1.31/0.53 (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((subrel @ Y2 @ Y1) => (subrel @ (Y0 @ Y2) @ (Y0 @ Y1)))))))))),
% 1.31/0.53 inference(cnf_transformation,[],[f34])).
% 1.31/0.53 thf(f34,plain,(
% 1.31/0.53 (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((subrel @ Y2 @ Y1) => (subrel @ (Y0 @ Y2) @ (Y0 @ Y1)))))))))),
% 1.31/0.53 inference(fool_elimination,[],[f33])).
% 1.31/0.53 thf(f33,plain,(
% 1.31/0.53 ((^[X0 : ($i > $i > $o) > $i > $i > $o] : (! [X1 : $i > $i > $o,X2 : $i > $i > $o] : ((subrel @ X1 @ X2) => (subrel @ (X0 @ X1) @ (X0 @ X2))))) = mono)),
% 1.31/0.53 inference(rectify,[],[f5])).
% 1.31/0.53 thf(f5,axiom,(
% 1.31/0.53 ((^[X4 : ($i > $i > $o) > $i > $i > $o] : (! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((subrel @ X0 @ X1) => (subrel @ (X4 @ X0) @ (X4 @ X1))))) = mono)),
% 1.31/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotonic)).
% 1.31/0.53 thf(f111,plain,(
% 1.31/0.53 ($true = (~ (mono @ trsc)))),
% 1.31/0.53 inference(cnf_transformation,[],[f68])).
% 1.31/0.53 thf(f68,plain,(
% 1.31/0.53 ($true = (~ (mono @ trsc)))),
% 1.31/0.53 inference(fool_elimination,[],[f67])).
% 1.31/0.53 thf(f67,plain,(
% 1.31/0.53 ~(mono @ trsc)),
% 1.31/0.53 inference(rectify,[],[f31])).
% 1.31/0.53 thf(f31,negated_conjecture,(
% 1.31/0.53 ~(mono @ trsc)),
% 1.31/0.53 inference(negated_conjecture,[],[f30])).
% 1.31/0.53 thf(f30,conjecture,(
% 1.31/0.53 (mono @ trsc)),
% 1.31/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_reflexive_symmetric_closure_op_is_monotonic)).
% 1.31/0.53 thf(f1111,plain,(
% 1.31/0.53 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1)))))) => (sK6 @ sK5 @ sK4))) | ~spl0_1),
% 1.31/0.53 inference(boolean_simplification,[],[f1094])).
% 1.31/0.53 thf(f1094,plain,(
% 1.31/0.53 ($true = (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1)))))) & $true) => (sK6 @ sK5 @ sK4))) | ~spl0_1),
% 1.31/0.53 inference(superposition,[],[f1075,f183])).
% 1.31/0.53 thf(f183,plain,(
% 1.31/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK6 @ Y0 @ Y2) & (sK6 @ Y2 @ Y1)) => (sK6 @ Y0 @ Y1)))))))))),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f178])).
% 1.31/0.53 thf(f178,plain,(
% 1.31/0.53 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK6 @ Y0 @ Y2) & (sK6 @ Y2 @ Y1)) => (sK6 @ Y0 @ Y1))))))))) = $true)),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f175])).
% 1.31/0.53 thf(f1075,plain,(
% 1.31/0.53 ( ! [X1 : $i > $i > $o] : (($true = (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (X1 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((X1 @ Y0 @ Y2) & (X1 @ Y2 @ Y1)) => (X1 @ Y0 @ Y1))))))))) => (X1 @ sK5 @ sK4)))) ) | ~spl0_1),
% 1.31/0.53 inference(beta_eta_normalization,[],[f1074])).
% 1.31/0.53 thf(f1074,plain,(
% 1.31/0.53 ( ! [X1 : $i > $i > $o] : (($true = ((^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4))) @ X1))) ) | ~spl0_1),
% 1.31/0.53 inference(pi_clausification,[],[f214])).
% 1.31/0.53 thf(f214,plain,(
% 1.31/0.53 ($true = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4))))) | ~spl0_1),
% 1.31/0.53 inference(avatar_component_clause,[],[f213])).
% 1.31/0.53 thf(f1071,plain,(
% 1.31/0.53 ~spl0_2),
% 1.31/0.53 inference(avatar_contradiction_clause,[],[f1070])).
% 1.31/0.53 thf(f1070,plain,(
% 1.31/0.53 $false | ~spl0_2),
% 1.31/0.53 inference(trivial_inequality_removal,[],[f1069])).
% 1.31/0.53 thf(f1069,plain,(
% 1.31/0.53 ($false = $true) | ~spl0_2),
% 1.31/0.53 inference(boolean_simplification,[],[f1068])).
% 1.31/0.53 thf(f1068,plain,(
% 1.31/0.53 ($true = (~ $true)) | ~spl0_2),
% 1.31/0.53 inference(backward_demodulation,[],[f1060,f1067])).
% 1.31/0.53 thf(f1067,plain,(
% 1.31/0.53 ($true = (sK2 @ sK16 @ sK17)) | ~spl0_2),
% 1.31/0.53 inference(boolean_simplification,[],[f1066])).
% 1.31/0.53 thf(f1066,plain,(
% 1.31/0.53 (($true => (sK2 @ sK16 @ sK17)) = $true) | ~spl0_2),
% 1.31/0.53 inference(superposition,[],[f154,f1051])).
% 1.31/0.53 thf(f1051,plain,(
% 1.31/0.53 ((sK3 @ sK16 @ sK17) = $true) | ~spl0_2),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f1049])).
% 1.31/0.53 thf(f1049,plain,(
% 1.31/0.53 ($false = ((sK3 @ sK16 @ sK17) => (sK9 @ sK16 @ sK17))) | ~spl0_2),
% 1.31/0.53 inference(beta_eta_normalization,[],[f1048])).
% 1.31/0.53 thf(f1048,plain,(
% 1.31/0.53 ($false = ((^[Y0 : $i]: ((sK3 @ sK16 @ Y0) => (sK9 @ sK16 @ Y0))) @ sK17)) | ~spl0_2),
% 1.31/0.53 inference(sigma_clausification,[],[f1034])).
% 1.31/0.53 thf(f1034,plain,(
% 1.31/0.53 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK16 @ Y0) => (sK9 @ sK16 @ Y0))))) | ~spl0_2),
% 1.31/0.53 inference(beta_eta_normalization,[],[f1032])).
% 1.31/0.53 thf(f1032,plain,(
% 1.31/0.53 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1))))) @ sK16)) | ~spl0_2),
% 1.31/0.53 inference(sigma_clausification,[],[f1022])).
% 1.31/0.53 thf(f1022,plain,(
% 1.31/0.53 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1))))))) | ~spl0_2),
% 1.31/0.53 inference(not_proxy_clausification,[],[f539])).
% 1.31/0.53 thf(f539,plain,(
% 1.31/0.53 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1))))))) = $true) | ~spl0_2),
% 1.31/0.53 inference(boolean_simplification,[],[f538])).
% 1.31/0.53 thf(f538,plain,(
% 1.31/0.53 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) => $false)) | ~spl0_2),
% 1.31/0.53 inference(forward_demodulation,[],[f535,f316])).
% 1.31/0.53 thf(f316,plain,(
% 1.31/0.53 ($false = (sK9 @ sK4 @ sK5))),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f313])).
% 1.31/0.53 thf(f313,plain,(
% 1.31/0.53 ($false = (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y2 @ Y1)) => (sK9 @ Y0 @ Y1))))))))) => (sK9 @ sK4 @ sK5)))),
% 1.31/0.53 inference(beta_eta_normalization,[],[f312])).
% 1.31/0.53 thf(f312,plain,(
% 1.31/0.53 ($false = ((^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5))) @ sK9))),
% 1.31/0.53 inference(sigma_clausification,[],[f197])).
% 1.31/0.53 thf(f197,plain,(
% 1.31/0.53 ($false = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5)))))),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f165])).
% 1.31/0.53 thf(f535,plain,(
% 1.31/0.53 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) => (sK9 @ sK4 @ sK5))) | ~spl0_2),
% 1.31/0.53 inference(boolean_simplification,[],[f524])).
% 1.31/0.53 thf(f524,plain,(
% 1.31/0.53 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) & $true) => (sK9 @ sK4 @ sK5)) = $true) | ~spl0_2),
% 1.31/0.53 inference(superposition,[],[f511,f352])).
% 1.31/0.53 thf(f352,plain,(
% 1.31/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y2 @ Y1)) => (sK9 @ Y0 @ Y1)))))))))),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f317])).
% 1.31/0.53 thf(f317,plain,(
% 1.31/0.53 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK9 @ Y0 @ Y2) & (sK9 @ Y2 @ Y1)) => (sK9 @ Y0 @ Y1))))))))))),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f313])).
% 1.31/0.53 thf(f511,plain,(
% 1.31/0.53 ( ! [X1 : $i > $i > $o] : (($true = (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (X1 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((X1 @ Y0 @ Y2) & (X1 @ Y2 @ Y1)) => (X1 @ Y0 @ Y1))))))))) => (X1 @ sK4 @ sK5)))) ) | ~spl0_2),
% 1.31/0.53 inference(beta_eta_normalization,[],[f510])).
% 1.31/0.53 thf(f510,plain,(
% 1.31/0.53 ( ! [X1 : $i > $i > $o] : ((((^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5))) @ X1) = $true)) ) | ~spl0_2),
% 1.31/0.53 inference(pi_clausification,[],[f217])).
% 1.31/0.53 thf(f217,plain,(
% 1.31/0.53 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5)))) = $true) | ~spl0_2),
% 1.31/0.53 inference(avatar_component_clause,[],[f216])).
% 1.31/0.53 thf(f216,plain,(
% 1.31/0.53 spl0_2 <=> ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5)))) = $true)),
% 1.31/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 1.31/0.53 thf(f154,plain,(
% 1.31/0.53 ( ! [X2 : $i,X1 : $i] : (($true = ((sK3 @ X1 @ X2) => (sK2 @ X1 @ X2)))) )),
% 1.31/0.53 inference(beta_eta_normalization,[],[f153])).
% 1.31/0.53 thf(f153,plain,(
% 1.31/0.53 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((sK3 @ X1 @ Y0) => (sK2 @ X1 @ Y0))) @ X2) = $true)) )),
% 1.31/0.53 inference(pi_clausification,[],[f152])).
% 1.31/0.53 thf(f152,plain,(
% 1.31/0.53 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ X1 @ Y0) => (sK2 @ X1 @ Y0)))))) )),
% 1.31/0.53 inference(beta_eta_normalization,[],[f151])).
% 1.31/0.53 thf(f151,plain,(
% 1.31/0.53 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK2 @ Y0 @ Y1))))) @ X1))) )),
% 1.31/0.53 inference(pi_clausification,[],[f146])).
% 1.31/0.53 thf(f146,plain,(
% 1.31/0.53 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK2 @ Y0 @ Y1)))))) = $true)),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f144])).
% 1.31/0.53 thf(f1060,plain,(
% 1.31/0.53 ((~ (sK2 @ sK16 @ sK17)) = $true) | ~spl0_2),
% 1.31/0.53 inference(boolean_simplification,[],[f1059])).
% 1.31/0.53 thf(f1059,plain,(
% 1.31/0.53 ($true = ((sK2 @ sK16 @ sK17) => $false)) | ~spl0_2),
% 1.31/0.53 inference(superposition,[],[f367,f1050])).
% 1.31/0.53 thf(f1050,plain,(
% 1.31/0.53 ($false = (sK9 @ sK16 @ sK17)) | ~spl0_2),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f1049])).
% 1.31/0.53 thf(f367,plain,(
% 1.31/0.53 ( ! [X2 : $i,X1 : $i] : (($true = ((sK2 @ X1 @ X2) => (sK9 @ X1 @ X2)))) )),
% 1.31/0.53 inference(beta_eta_normalization,[],[f366])).
% 1.31/0.53 thf(f366,plain,(
% 1.31/0.53 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((sK2 @ X1 @ Y0) => (sK9 @ X1 @ Y0))) @ X2) = $true)) )),
% 1.31/0.53 inference(pi_clausification,[],[f362])).
% 1.31/0.53 thf(f362,plain,(
% 1.31/0.53 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK2 @ X1 @ Y0) => (sK9 @ X1 @ Y0)))) = $true)) )),
% 1.31/0.53 inference(beta_eta_normalization,[],[f361])).
% 1.31/0.53 thf(f361,plain,(
% 1.31/0.53 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1))))) @ X1))) )),
% 1.31/0.53 inference(pi_clausification,[],[f357])).
% 1.31/0.53 thf(f357,plain,(
% 1.31/0.53 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) = $true)),
% 1.31/0.53 inference(boolean_simplification,[],[f355])).
% 1.31/0.53 thf(f355,plain,(
% 1.31/0.53 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK9 @ Y0 @ Y1)))))) & $true) = $true)),
% 1.31/0.53 inference(backward_demodulation,[],[f317,f352])).
% 1.31/0.53 thf(f771,plain,(
% 1.31/0.53 ~spl0_17),
% 1.31/0.53 inference(avatar_contradiction_clause,[],[f770])).
% 1.31/0.53 thf(f770,plain,(
% 1.31/0.53 $false | ~spl0_17),
% 1.31/0.53 inference(trivial_inequality_removal,[],[f769])).
% 1.31/0.53 thf(f769,plain,(
% 1.31/0.53 ($false = $true) | ~spl0_17),
% 1.31/0.53 inference(boolean_simplification,[],[f768])).
% 1.31/0.53 thf(f768,plain,(
% 1.31/0.53 ($true = (~ $true)) | ~spl0_17),
% 1.31/0.53 inference(backward_demodulation,[],[f751,f767])).
% 1.31/0.53 thf(f767,plain,(
% 1.31/0.53 ($true = (sK2 @ sK14 @ sK15)) | ~spl0_17),
% 1.31/0.53 inference(boolean_simplification,[],[f766])).
% 1.31/0.53 thf(f766,plain,(
% 1.31/0.53 (($true => (sK2 @ sK14 @ sK15)) = $true) | ~spl0_17),
% 1.31/0.53 inference(superposition,[],[f154,f743])).
% 1.31/0.53 thf(f743,plain,(
% 1.31/0.53 ((sK3 @ sK14 @ sK15) = $true) | ~spl0_17),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f735])).
% 1.31/0.53 thf(f735,plain,(
% 1.31/0.53 ($false = ((sK3 @ sK14 @ sK15) => (sK6 @ sK14 @ sK15))) | ~spl0_17),
% 1.31/0.53 inference(beta_eta_normalization,[],[f734])).
% 1.31/0.53 thf(f734,plain,(
% 1.31/0.53 ($false = ((^[Y0 : $i]: ((sK3 @ sK14 @ Y0) => (sK6 @ sK14 @ Y0))) @ sK15)) | ~spl0_17),
% 1.31/0.53 inference(sigma_clausification,[],[f729])).
% 1.31/0.53 thf(f729,plain,(
% 1.31/0.53 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK14 @ Y0) => (sK6 @ sK14 @ Y0))))) | ~spl0_17),
% 1.31/0.53 inference(beta_eta_normalization,[],[f727])).
% 1.31/0.53 thf(f727,plain,(
% 1.31/0.53 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1))))) @ sK14)) | ~spl0_17),
% 1.31/0.53 inference(sigma_clausification,[],[f715])).
% 1.31/0.53 thf(f715,plain,(
% 1.31/0.53 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK3 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1)))))) = $false) | ~spl0_17),
% 1.31/0.53 inference(avatar_component_clause,[],[f714])).
% 1.31/0.53 thf(f751,plain,(
% 1.31/0.53 ($true = (~ (sK2 @ sK14 @ sK15))) | ~spl0_17),
% 1.31/0.53 inference(boolean_simplification,[],[f749])).
% 1.31/0.53 thf(f749,plain,(
% 1.31/0.53 (((sK2 @ sK14 @ sK15) => $false) = $true) | ~spl0_17),
% 1.31/0.53 inference(superposition,[],[f190,f745])).
% 1.31/0.53 thf(f745,plain,(
% 1.31/0.53 ($false = (sK6 @ sK14 @ sK15)) | ~spl0_17),
% 1.31/0.53 inference(boolean_simplification,[],[f744])).
% 1.31/0.53 thf(f744,plain,(
% 1.31/0.53 (($true => (sK6 @ sK14 @ sK15)) = $false) | ~spl0_17),
% 1.31/0.53 inference(backward_demodulation,[],[f735,f743])).
% 1.31/0.53 thf(f190,plain,(
% 1.31/0.53 ( ! [X2 : $i,X1 : $i] : (($true = ((sK2 @ X1 @ X2) => (sK6 @ X1 @ X2)))) )),
% 1.31/0.53 inference(beta_eta_normalization,[],[f189])).
% 1.31/0.53 thf(f189,plain,(
% 1.31/0.53 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((sK2 @ X1 @ Y0) => (sK6 @ X1 @ Y0))) @ X2))) )),
% 1.31/0.53 inference(pi_clausification,[],[f188])).
% 1.31/0.53 thf(f188,plain,(
% 1.31/0.53 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK2 @ X1 @ Y0) => (sK6 @ X1 @ Y0)))) = $true)) )),
% 1.31/0.53 inference(beta_eta_normalization,[],[f187])).
% 1.31/0.53 thf(f187,plain,(
% 1.31/0.53 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1))))) @ X1) = $true)) )),
% 1.31/0.53 inference(pi_clausification,[],[f186])).
% 1.31/0.53 thf(f186,plain,(
% 1.31/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1)))))))),
% 1.31/0.53 inference(boolean_simplification,[],[f185])).
% 1.31/0.53 thf(f185,plain,(
% 1.31/0.53 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK6 @ Y0 @ Y1)))))) & $true))),
% 1.31/0.53 inference(backward_demodulation,[],[f178,f183])).
% 1.31/0.53 thf(f218,plain,(
% 1.31/0.53 spl0_1 | spl0_2),
% 1.31/0.53 inference(avatar_split_clause,[],[f211,f216,f213])).
% 1.31/0.53 thf(f211,plain,(
% 1.31/0.53 ($true = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4))))) | ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5)))) = $true)),
% 1.31/0.53 inference(binary_proxy_clausification,[],[f202])).
% 1.31/0.53 thf(f202,plain,(
% 1.31/0.53 ($true = ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5)))) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4))))))),
% 1.31/0.53 inference(boolean_simplification,[],[f201])).
% 1.31/0.53 thf(f201,plain,(
% 1.31/0.53 ($true = (($false | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5))))) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4))))))),
% 1.31/0.53 inference(backward_demodulation,[],[f172,f200])).
% 1.31/0.53 thf(f200,plain,(
% 1.31/0.53 ($false = (sK4 = sK5))),
% 1.31/0.53 inference(boolean_simplification,[],[f199])).
% 1.31/0.53 thf(f199,plain,(
% 1.31/0.53 ($false = ((sK4 = sK5) | $false))),
% 1.31/0.53 inference(backward_demodulation,[],[f165,f197])).
% 1.31/0.53 thf(f172,plain,(
% 1.31/0.53 ($true = (((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5))))) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4))))))),
% 1.31/0.53 inference(boolean_simplification,[],[f171])).
% 1.31/0.53 thf(f171,plain,(
% 1.31/0.53 ((((sK4 = sK5) | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK4 @ sK5))))) | ($false | (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ sK5 @ sK4)))))) = $true)),
% 1.31/0.53 inference(backward_demodulation,[],[f161,f169])).
% 1.31/0.53 % SZS output end Proof for theBenchmark
% 1.31/0.53 % (12575)------------------------------
% 1.31/0.53 % (12575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.31/0.53 % (12575)Termination reason: Refutation
% 1.31/0.53
% 1.31/0.53 % (12575)Memory used [KB]: 6524
% 1.31/0.53 % (12575)Time elapsed: 0.113 s
% 1.31/0.53 % (12575)Instructions burned: 189 (million)
% 1.31/0.53 % (12575)------------------------------
% 1.31/0.53 % (12575)------------------------------
% 1.31/0.53 % (12563)Success in time 0.155 s
% 1.31/0.53 % Vampire---4.8 exiting
%------------------------------------------------------------------------------