TSTP Solution File: LCL690^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL690^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 00:22:14 EDT 2024
% Result : Theorem 3.51s 0.86s
% Output : Refutation 3.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL690^1 : TPTP v8.2.0. Released v3.7.0.
% 0.08/0.15 % 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 : n004.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 : Mon May 20 01:19:23 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
% 0.16/0.39 % (8510)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)
% 0.16/0.39 % (8509)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.39 % (8511)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)
% 0.16/0.39 % (8512)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.39 % (8513)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)
% 0.16/0.39 % (8515)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.40 % (8512)Instruction limit reached!
% 0.16/0.40 % (8512)------------------------------
% 0.16/0.40 % (8512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (8512)Termination reason: Unknown
% 0.16/0.40 % (8513)Instruction limit reached!
% 0.16/0.40 % (8513)------------------------------
% 0.16/0.40 % (8513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (8513)Termination reason: Unknown
% 0.16/0.40 % (8513)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (8513)Memory used [KB]: 1023
% 0.16/0.40 % (8513)Time elapsed: 0.003 s
% 0.16/0.40 % (8513)Instructions burned: 2 (million)
% 0.16/0.40 % (8513)------------------------------
% 0.16/0.40 % (8513)------------------------------
% 0.16/0.40 % (8512)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (8512)Memory used [KB]: 1023
% 0.16/0.40 % (8512)Time elapsed: 0.003 s
% 0.16/0.40 % (8512)Instructions burned: 2 (million)
% 0.16/0.40 % (8512)------------------------------
% 0.16/0.40 % (8512)------------------------------
% 0.16/0.40 % (8510)Instruction limit reached!
% 0.16/0.40 % (8510)------------------------------
% 0.16/0.40 % (8510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (8510)Termination reason: Unknown
% 0.16/0.40 % (8510)Termination phase: Property scanning
% 0.16/0.40
% 0.16/0.40 % (8510)Memory used [KB]: 1023
% 0.16/0.40 % (8510)Time elapsed: 0.004 s
% 0.16/0.40 % (8510)Instructions burned: 4 (million)
% 0.16/0.40 % (8510)------------------------------
% 0.16/0.40 % (8510)------------------------------
% 0.16/0.40 % (8515)Instruction limit reached!
% 0.16/0.40 % (8515)------------------------------
% 0.16/0.40 % (8515)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (8515)Termination reason: Unknown
% 0.16/0.40 % (8515)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (8515)Memory used [KB]: 5628
% 0.16/0.40 % (8515)Time elapsed: 0.011 s
% 0.16/0.40 % (8515)Instructions burned: 18 (million)
% 0.16/0.40 % (8515)------------------------------
% 0.16/0.40 % (8515)------------------------------
% 0.16/0.41 % (8514)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)
% 0.16/0.41 % (8511)Instruction limit reached!
% 0.16/0.41 % (8511)------------------------------
% 0.16/0.41 % (8511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (8511)Termination reason: Unknown
% 0.16/0.41 % (8511)Termination phase: Saturation
% 0.16/0.41
% 0.16/0.41 % (8511)Memory used [KB]: 5756
% 0.16/0.41 % (8511)Time elapsed: 0.017 s
% 0.16/0.41 % (8511)Instructions burned: 27 (million)
% 0.16/0.41 % (8511)------------------------------
% 0.16/0.41 % (8511)------------------------------
% 0.16/0.41 % (8517)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)
% 0.16/0.41 % (8518)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)
% 0.16/0.41 % (8519)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)
% 0.16/0.41 % (8516)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)
% 0.16/0.41 % (8514)Refutation not found, incomplete strategy
% 0.16/0.41 % (8514)------------------------------
% 0.16/0.41 % (8514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (8514)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.41
% 0.16/0.41
% 0.16/0.41 % (8514)Memory used [KB]: 5500
% 0.16/0.41 % (8514)Time elapsed: 0.006 s
% 0.16/0.41 % (8514)Instructions burned: 7 (million)
% 0.16/0.41 % (8514)------------------------------
% 0.16/0.41 % (8514)------------------------------
% 0.16/0.41 % (8516)Instruction limit reached!
% 0.16/0.41 % (8516)------------------------------
% 0.16/0.41 % (8516)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (8516)Termination reason: Unknown
% 0.16/0.41 % (8516)Termination phase: shuffling
% 0.16/0.41
% 0.16/0.41 % (8516)Memory used [KB]: 1023
% 0.16/0.41 % (8516)Time elapsed: 0.005 s
% 0.16/0.41 % (8516)Instructions burned: 3 (million)
% 0.16/0.41 % (8516)------------------------------
% 0.16/0.41 % (8516)------------------------------
% 0.16/0.41 % (8519)Instruction limit reached!
% 0.16/0.41 % (8519)------------------------------
% 0.16/0.41 % (8519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (8519)Termination reason: Unknown
% 0.16/0.41 % (8519)Termination phase: Property scanning
% 0.16/0.41
% 0.16/0.41 % (8519)Memory used [KB]: 1023
% 0.16/0.41 % (8519)Time elapsed: 0.004 s
% 0.16/0.41 % (8519)Instructions burned: 4 (million)
% 0.16/0.41 % (8519)------------------------------
% 0.16/0.41 % (8519)------------------------------
% 0.22/0.42 % (8518)Instruction limit reached!
% 0.22/0.42 % (8518)------------------------------
% 0.22/0.42 % (8518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (8518)Termination reason: Unknown
% 0.22/0.42 % (8518)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (8518)Memory used [KB]: 5628
% 0.22/0.42 % (8518)Time elapsed: 0.010 s
% 0.22/0.42 % (8518)Instructions burned: 16 (million)
% 0.22/0.42 % (8518)------------------------------
% 0.22/0.42 % (8518)------------------------------
% 0.22/0.42 % (8520)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)
% 0.22/0.43 % (8522)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (8521)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43 % (8524)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)
% 0.22/0.43 % (8517)Instruction limit reached!
% 0.22/0.43 % (8517)------------------------------
% 0.22/0.43 % (8517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (8517)Termination reason: Unknown
% 0.22/0.43 % (8524)Instruction limit reached!
% 0.22/0.43 % (8524)------------------------------
% 0.22/0.43 % (8524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (8517)Termination phase: Saturation
% 0.22/0.43 % (8524)Termination reason: Unknown
% 0.22/0.43 % (8524)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (8524)Memory used [KB]: 1023
% 0.22/0.43 % (8524)Time elapsed: 0.004 s
% 0.22/0.43 % (8524)Instructions burned: 3 (million)
% 0.22/0.43 % (8524)------------------------------
% 0.22/0.43 % (8524)------------------------------
% 0.22/0.43
% 0.22/0.43 % (8517)Memory used [KB]: 5884
% 0.22/0.43 % (8517)Time elapsed: 0.022 s
% 0.22/0.43 % (8517)Instructions burned: 37 (million)
% 0.22/0.43 % (8517)------------------------------
% 0.22/0.43 % (8517)------------------------------
% 0.22/0.43 % (8521)Instruction limit reached!
% 0.22/0.43 % (8521)------------------------------
% 0.22/0.43 % (8521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (8521)Termination reason: Unknown
% 0.22/0.43 % (8521)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (8521)Memory used [KB]: 1023
% 0.22/0.43 % (8521)Time elapsed: 0.006 s
% 0.22/0.43 % (8521)Instructions burned: 8 (million)
% 0.22/0.43 % (8521)------------------------------
% 0.22/0.43 % (8521)------------------------------
% 0.22/0.43 % (8525)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)
% 0.22/0.44 % (8522)Instruction limit reached!
% 0.22/0.44 % (8522)------------------------------
% 0.22/0.44 % (8522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (8522)Termination reason: Unknown
% 0.22/0.44 % (8522)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (8522)Memory used [KB]: 5628
% 0.22/0.44 % (8522)Time elapsed: 0.011 s
% 0.22/0.44 % (8522)Instructions burned: 16 (million)
% 0.22/0.44 % (8522)------------------------------
% 0.22/0.44 % (8522)------------------------------
% 0.22/0.44 % (8525)Instruction limit reached!
% 0.22/0.44 % (8525)------------------------------
% 0.22/0.44 % (8525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (8525)Termination reason: Unknown
% 0.22/0.44 % (8525)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (8525)Memory used [KB]: 1023
% 0.22/0.44 % (8525)Time elapsed: 0.006 s
% 0.22/0.44 % (8525)Instructions burned: 8 (million)
% 0.22/0.44 % (8525)------------------------------
% 0.22/0.44 % (8525)------------------------------
% 0.22/0.44 % (8523)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)
% 0.22/0.44 % (8527)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.44 % (8523)Instruction limit reached!
% 0.22/0.44 % (8523)------------------------------
% 0.22/0.44 % (8523)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (8523)Termination reason: Unknown
% 0.22/0.44 % (8523)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (8523)Memory used [KB]: 1023
% 0.22/0.44 % (8523)Time elapsed: 0.004 s
% 0.22/0.44 % (8523)Instructions burned: 4 (million)
% 0.22/0.44 % (8523)------------------------------
% 0.22/0.44 % (8523)------------------------------
% 0.22/0.45 % (8528)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)
% 0.22/0.45 % (8527)Instruction limit reached!
% 0.22/0.45 % (8527)------------------------------
% 0.22/0.45 % (8527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (8527)Termination reason: Unknown
% 0.22/0.45 % (8527)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (8527)Memory used [KB]: 1023
% 0.22/0.45 % (8527)Time elapsed: 0.004 s
% 0.22/0.45 % (8527)Instructions burned: 4 (million)
% 0.22/0.45 % (8527)------------------------------
% 0.22/0.45 % (8527)------------------------------
% 0.22/0.45 % (8529)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.46 % (8530)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (8528)Instruction limit reached!
% 0.22/0.46 % (8528)------------------------------
% 0.22/0.46 % (8528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (8528)Termination reason: Unknown
% 0.22/0.46 % (8528)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (8528)Memory used [KB]: 5628
% 0.22/0.46 % (8528)Time elapsed: 0.036 s
% 0.22/0.46 % (8528)Instructions burned: 18 (million)
% 0.22/0.46 % (8528)------------------------------
% 0.22/0.46 % (8528)------------------------------
% 0.22/0.46 % (8526)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)
% 0.22/0.46 % (8531)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)
% 0.22/0.46 % (8530)Instruction limit reached!
% 0.22/0.46 % (8530)------------------------------
% 0.22/0.46 % (8530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (8530)Termination reason: Unknown
% 0.22/0.46 % (8530)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (8530)Memory used [KB]: 1023
% 0.22/0.46 % (8530)Time elapsed: 0.008 s
% 0.22/0.46 % (8530)Instructions burned: 6 (million)
% 0.22/0.46 % (8530)------------------------------
% 0.22/0.46 % (8530)------------------------------
% 0.22/0.46 % (8526)Instruction limit reached!
% 0.22/0.46 % (8526)------------------------------
% 0.22/0.46 % (8526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (8526)Termination reason: Unknown
% 0.22/0.46 % (8526)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (8526)Memory used [KB]: 1023
% 0.22/0.46 % (8526)Time elapsed: 0.004 s
% 0.22/0.46 % (8526)Instructions burned: 4 (million)
% 0.22/0.46 % (8526)------------------------------
% 0.22/0.46 % (8526)------------------------------
% 0.22/0.46 % (8532)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)
% 0.22/0.46 % (8531)Refutation not found, incomplete strategy
% 0.22/0.46 % (8531)------------------------------
% 0.22/0.46 % (8531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (8531)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % (8531)Memory used [KB]: 5500
% 0.22/0.46 % (8531)Time elapsed: 0.006 s
% 0.22/0.46 % (8531)Instructions burned: 7 (million)
% 0.22/0.46 % (8531)------------------------------
% 0.22/0.46 % (8531)------------------------------
% 0.22/0.47 % (8532)Instruction limit reached!
% 0.22/0.47 % (8532)------------------------------
% 0.22/0.47 % (8532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (8532)Termination reason: Unknown
% 0.22/0.47 % (8532)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (8532)Memory used [KB]: 5628
% 0.22/0.47 % (8532)Time elapsed: 0.014 s
% 0.22/0.47 % (8532)Instructions burned: 21 (million)
% 0.22/0.47 % (8532)------------------------------
% 0.22/0.47 % (8532)------------------------------
% 0.22/0.47 % (8534)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)
% 0.22/0.48 % (8535)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.48 % (8534)Instruction limit reached!
% 0.22/0.48 % (8534)------------------------------
% 0.22/0.48 % (8534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (8534)Termination reason: Unknown
% 0.22/0.48 % (8534)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (8534)Memory used [KB]: 5500
% 0.22/0.48 % (8534)Time elapsed: 0.005 s
% 0.22/0.48 % (8534)Instructions burned: 8 (million)
% 0.22/0.48 % (8534)------------------------------
% 0.22/0.48 % (8534)------------------------------
% 0.22/0.48 % (8536)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)
% 0.22/0.48 % (8533)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.48 % (8533)Instruction limit reached!
% 0.22/0.48 % (8533)------------------------------
% 0.22/0.48 % (8533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (8533)Termination reason: Unknown
% 0.22/0.48 % (8533)Termination phase: Function definition elimination
% 0.22/0.48
% 0.22/0.48 % (8533)Memory used [KB]: 1023
% 0.22/0.48 % (8533)Time elapsed: 0.007 s
% 0.22/0.48 % (8533)Instructions burned: 5 (million)
% 0.22/0.48 % (8533)------------------------------
% 0.22/0.48 % (8533)------------------------------
% 0.22/0.49 % (8538)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)
% 0.22/0.49 % (8537)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)
% 0.22/0.49 % (8537)Refutation not found, incomplete strategy
% 0.22/0.49 % (8537)------------------------------
% 0.22/0.49 % (8537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (8537)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (8537)Memory used [KB]: 5628
% 0.22/0.49 % (8537)Time elapsed: 0.007 s
% 0.22/0.49 % (8537)Instructions burned: 9 (million)
% 0.22/0.49 % (8537)------------------------------
% 0.22/0.49 % (8537)------------------------------
% 0.22/0.50 % (8509)Instruction limit reached!
% 0.22/0.50 % (8509)------------------------------
% 0.22/0.50 % (8509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (8509)Termination reason: Unknown
% 0.22/0.50 % (8509)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (8509)Memory used [KB]: 6908
% 0.22/0.50 % (8509)Time elapsed: 0.109 s
% 0.22/0.50 % (8509)Instructions burned: 184 (million)
% 0.22/0.50 % (8509)------------------------------
% 0.22/0.50 % (8509)------------------------------
% 0.22/0.50 % (8539)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.51 % (8540)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.51 % (8539)Instruction limit reached!
% 0.22/0.51 % (8539)------------------------------
% 0.22/0.51 % (8539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (8539)Termination reason: Unknown
% 0.22/0.51 % (8539)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (8539)Memory used [KB]: 5628
% 0.22/0.51 % (8539)Time elapsed: 0.009 s
% 0.22/0.51 % (8539)Instructions burned: 17 (million)
% 0.22/0.51 % (8539)------------------------------
% 0.22/0.51 % (8539)------------------------------
% 0.22/0.51 % (8540)Instruction limit reached!
% 0.22/0.51 % (8540)------------------------------
% 0.22/0.51 % (8540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (8540)Termination reason: Unknown
% 0.22/0.51 % (8540)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (8540)Memory used [KB]: 1023
% 0.22/0.51 % (8540)Time elapsed: 0.004 s
% 0.22/0.51 % (8540)Instructions burned: 4 (million)
% 0.22/0.51 % (8540)------------------------------
% 0.22/0.51 % (8540)------------------------------
% 0.22/0.51 % (8541)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.52 % (8542)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)
% 0.22/0.52 % (8543)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)
% 0.22/0.52 % (8541)Instruction limit reached!
% 0.22/0.52 % (8541)------------------------------
% 0.22/0.52 % (8541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (8541)Termination reason: Unknown
% 0.22/0.52 % (8541)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (8541)Memory used [KB]: 5628
% 0.22/0.52 % (8541)Time elapsed: 0.011 s
% 0.22/0.52 % (8541)Instructions burned: 32 (million)
% 0.22/0.52 % (8541)------------------------------
% 0.22/0.52 % (8541)------------------------------
% 0.22/0.53 % (8544)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)
% 0.22/0.53 % (8544)Instruction limit reached!
% 0.22/0.53 % (8544)------------------------------
% 0.22/0.53 % (8544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (8544)Termination reason: Unknown
% 0.22/0.53 % (8544)Termination phase: Function definition elimination
% 0.22/0.53
% 0.22/0.53 % (8544)Memory used [KB]: 1023
% 0.22/0.53 % (8544)Time elapsed: 0.003 s
% 0.22/0.53 % (8544)Instructions burned: 6 (million)
% 0.22/0.53 % (8544)------------------------------
% 0.22/0.53 % (8544)------------------------------
% 0.22/0.54 % (8545)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)
% 0.22/0.55 % (8545)Refutation not found, incomplete strategy
% 0.22/0.55 % (8545)------------------------------
% 0.22/0.55 % (8545)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (8545)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55
% 0.22/0.55
% 0.22/0.55 % (8545)Memory used [KB]: 5628
% 0.22/0.55 % (8545)Time elapsed: 0.005 s
% 0.22/0.55 % (8545)Instructions burned: 11 (million)
% 0.22/0.55 % (8545)------------------------------
% 0.22/0.55 % (8545)------------------------------
% 0.22/0.55 % (8543)Instruction limit reached!
% 0.22/0.55 % (8543)------------------------------
% 0.22/0.55 % (8543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (8543)Termination reason: Unknown
% 0.22/0.55 % (8543)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (8543)Memory used [KB]: 6012
% 0.22/0.55 % (8543)Time elapsed: 0.035 s
% 0.22/0.55 % (8543)Instructions burned: 101 (million)
% 0.22/0.55 % (8543)------------------------------
% 0.22/0.55 % (8543)------------------------------
% 0.22/0.55 % (8546)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 (2998ds/86Mi)
% 0.22/0.56 % (8542)Instruction limit reached!
% 0.22/0.56 % (8542)------------------------------
% 0.22/0.56 % (8542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.56 % (8542)Termination reason: Unknown
% 0.22/0.56 % (8542)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (8542)Memory used [KB]: 6268
% 0.22/0.56 % (8542)Time elapsed: 0.043 s
% 0.22/0.56 % (8542)Instructions burned: 128 (million)
% 0.22/0.56 % (8542)------------------------------
% 0.22/0.56 % (8542)------------------------------
% 0.22/0.56 % (8547)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 (2998ds/107Mi)
% 0.22/0.57 % (8547)Refutation not found, incomplete strategy
% 0.22/0.57 % (8547)------------------------------
% 0.22/0.57 % (8547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (8547)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.57
% 0.22/0.57
% 0.22/0.57 % (8547)Memory used [KB]: 5628
% 0.22/0.57 % (8547)Time elapsed: 0.005 s
% 0.22/0.57 % (8547)Instructions burned: 11 (million)
% 0.22/0.57 % (8547)------------------------------
% 0.22/0.57 % (8547)------------------------------
% 0.22/0.57 % (8548)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 (2998ds/39Mi)
% 1.54/0.57 % (8549)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 (2998ds/448Mi)
% 1.54/0.58 % (8549)Refutation not found, incomplete strategy
% 1.54/0.58 % (8549)------------------------------
% 1.54/0.58 % (8549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.58 % (8549)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.58
% 1.54/0.58
% 1.54/0.58 % (8549)Memory used [KB]: 5628
% 1.54/0.58 % (8549)Time elapsed: 0.006 s
% 1.54/0.58 % (8549)Instructions burned: 14 (million)
% 1.54/0.58 % (8549)------------------------------
% 1.54/0.58 % (8549)------------------------------
% 1.54/0.58 % (8548)Instruction limit reached!
% 1.54/0.58 % (8548)------------------------------
% 1.54/0.58 % (8548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.58 % (8548)Termination reason: Unknown
% 1.54/0.58 % (8548)Termination phase: Saturation
% 1.54/0.58
% 1.54/0.58 % (8548)Memory used [KB]: 5884
% 1.54/0.58 % (8548)Time elapsed: 0.013 s
% 1.54/0.58 % (8548)Instructions burned: 40 (million)
% 1.54/0.58 % (8548)------------------------------
% 1.54/0.58 % (8548)------------------------------
% 1.54/0.58 % (8546)Instruction limit reached!
% 1.54/0.58 % (8546)------------------------------
% 1.54/0.58 % (8546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.58 % (8546)Termination reason: Unknown
% 1.54/0.58 % (8546)Termination phase: Saturation
% 1.54/0.58
% 1.54/0.58 % (8546)Memory used [KB]: 6140
% 1.54/0.58 % (8546)Time elapsed: 0.029 s
% 1.54/0.58 % (8546)Instructions burned: 86 (million)
% 1.54/0.58 % (8546)------------------------------
% 1.54/0.58 % (8546)------------------------------
% 1.54/0.59 % (8550)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 (2998ds/46Mi)
% 1.54/0.59 % (8551)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 (2998ds/98Mi)
% 1.54/0.59 % (8552)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 (2998ds/507Mi)
% 1.75/0.60 % (8552)Refutation not found, incomplete strategy
% 1.75/0.60 % (8552)------------------------------
% 1.75/0.60 % (8552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.60 % (8552)Termination reason: Refutation not found, incomplete strategy
% 1.75/0.60
% 1.75/0.60
% 1.75/0.60 % (8552)Memory used [KB]: 5628
% 1.75/0.60 % (8552)Time elapsed: 0.006 s
% 1.75/0.60 % (8552)Instructions burned: 16 (million)
% 1.75/0.60 % (8552)------------------------------
% 1.75/0.60 % (8552)------------------------------
% 1.75/0.61 % (8553)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 (2997ds/149Mi)
% 1.75/0.61 % (8550)Instruction limit reached!
% 1.75/0.61 % (8550)------------------------------
% 1.75/0.61 % (8550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.61 % (8550)Termination reason: Unknown
% 1.75/0.61 % (8550)Termination phase: Saturation
% 1.75/0.61
% 1.75/0.61 % (8550)Memory used [KB]: 5756
% 1.75/0.61 % (8550)Time elapsed: 0.019 s
% 1.75/0.61 % (8550)Instructions burned: 48 (million)
% 1.75/0.61 % (8550)------------------------------
% 1.75/0.61 % (8550)------------------------------
% 1.75/0.62 % (8554)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.75/0.62 % (8535)Instruction limit reached!
% 1.75/0.62 % (8535)------------------------------
% 1.75/0.62 % (8535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.62 % (8535)Termination reason: Unknown
% 1.75/0.62 % (8535)Termination phase: Saturation
% 1.75/0.62
% 1.75/0.62 % (8535)Memory used [KB]: 7036
% 1.75/0.62 % (8535)Time elapsed: 0.147 s
% 1.75/0.62 % (8535)Instructions burned: 379 (million)
% 1.75/0.62 % (8535)------------------------------
% 1.75/0.62 % (8535)------------------------------
% 1.75/0.62 % (8551)Instruction limit reached!
% 1.75/0.62 % (8551)------------------------------
% 1.75/0.62 % (8551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.62 % (8551)Termination reason: Unknown
% 1.75/0.62 % (8551)Termination phase: Saturation
% 1.75/0.62
% 1.75/0.62 % (8551)Memory used [KB]: 1535
% 1.75/0.62 % (8551)Time elapsed: 0.034 s
% 1.75/0.62 % (8551)Instructions burned: 99 (million)
% 1.75/0.62 % (8551)------------------------------
% 1.75/0.62 % (8551)------------------------------
% 1.75/0.63 % (8554)Instruction limit reached!
% 1.75/0.63 % (8554)------------------------------
% 1.75/0.63 % (8554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.63 % (8554)Termination reason: Unknown
% 1.75/0.63 % (8554)Termination phase: Saturation
% 1.75/0.63
% 1.75/0.63 % (8554)Memory used [KB]: 5756
% 1.75/0.63 % (8554)Time elapsed: 0.014 s
% 1.75/0.63 % (8554)Instructions burned: 40 (million)
% 1.75/0.63 % (8554)------------------------------
% 1.75/0.63 % (8554)------------------------------
% 1.75/0.63 % (8555)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 (2997ds/6Mi)
% 1.75/0.63 % (8556)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 (2997ds/1087Mi)
% 1.75/0.63 % (8555)Instruction limit reached!
% 1.75/0.63 % (8555)------------------------------
% 1.75/0.63 % (8555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.63 % (8555)Termination reason: Unknown
% 1.75/0.63 % (8529)Instruction limit reached!
% 1.75/0.63 % (8529)------------------------------
% 1.75/0.63 % (8529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.63 % (8529)Termination reason: Unknown
% 1.75/0.63 % (8529)Termination phase: Saturation
% 1.75/0.63
% 1.75/0.63 % (8529)Memory used [KB]: 6396
% 1.75/0.63 % (8529)Time elapsed: 0.208 s
% 1.75/0.63 % (8529)Instructions burned: 712 (million)
% 1.75/0.63 % (8529)------------------------------
% 1.75/0.63 % (8529)------------------------------
% 1.75/0.63 % (8555)Termination phase: Property scanning
% 1.75/0.63
% 1.75/0.63 % (8555)Memory used [KB]: 1023
% 1.75/0.63 % (8555)Time elapsed: 0.003 s
% 1.75/0.63 % (8555)Instructions burned: 7 (million)
% 1.75/0.63 % (8555)------------------------------
% 1.75/0.63 % (8555)------------------------------
% 1.75/0.63 % (8556)Refutation not found, incomplete strategy
% 1.75/0.63 % (8556)------------------------------
% 1.75/0.63 % (8556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.75/0.63 % (8556)Termination reason: Refutation not found, incomplete strategy
% 1.75/0.63
% 1.75/0.63
% 1.75/0.63 % (8556)Memory used [KB]: 5628
% 1.75/0.63 % (8556)Time elapsed: 0.004 s
% 1.75/0.63 % (8556)Instructions burned: 9 (million)
% 1.75/0.63 % (8556)------------------------------
% 1.75/0.63 % (8556)------------------------------
% 2.10/0.64 % (8557)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.10/0.64 % (8558)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 (2997ds/44Mi)
% 2.10/0.64 % (8559)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 (2997ds/432Mi)
% 2.10/0.64 % (8560)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi)
% 2.10/0.64 % (8558)Refutation not found, incomplete strategy
% 2.10/0.64 % (8558)------------------------------
% 2.10/0.64 % (8558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.64 % (8558)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.64
% 2.10/0.64
% 2.10/0.64 % (8558)Memory used [KB]: 1151
% 2.10/0.64 % (8558)Time elapsed: 0.006 s
% 2.10/0.64 % (8558)Instructions burned: 15 (million)
% 2.10/0.64 % (8558)------------------------------
% 2.10/0.64 % (8558)------------------------------
% 2.10/0.65 % (8557)Instruction limit reached!
% 2.10/0.65 % (8557)------------------------------
% 2.10/0.65 % (8557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.65 % (8557)Termination reason: Unknown
% 2.10/0.65 % (8557)Termination phase: Saturation
% 2.10/0.65
% 2.10/0.65 % (8557)Memory used [KB]: 5756
% 2.10/0.65 % (8557)Time elapsed: 0.015 s
% 2.10/0.65 % (8557)Instructions burned: 48 (million)
% 2.10/0.65 % (8557)------------------------------
% 2.10/0.65 % (8557)------------------------------
% 2.10/0.65 % (8561)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 (2997ds/31Mi)
% 2.10/0.66 % (8562)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.10/0.66 % (8553)Instruction limit reached!
% 2.10/0.66 % (8553)------------------------------
% 2.10/0.66 % (8553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.66 % (8553)Termination reason: Unknown
% 2.10/0.66 % (8553)Termination phase: Saturation
% 2.10/0.66
% 2.10/0.66 % (8553)Memory used [KB]: 6140
% 2.10/0.66 % (8553)Time elapsed: 0.056 s
% 2.10/0.66 % (8553)Instructions burned: 151 (million)
% 2.10/0.66 % (8553)------------------------------
% 2.10/0.66 % (8553)------------------------------
% 2.10/0.66 % (8561)Instruction limit reached!
% 2.10/0.66 % (8561)------------------------------
% 2.10/0.66 % (8561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.66 % (8561)Termination reason: Unknown
% 2.10/0.66 % (8561)Termination phase: Saturation
% 2.10/0.66
% 2.10/0.66 % (8561)Memory used [KB]: 5756
% 2.10/0.66 % (8561)Time elapsed: 0.011 s
% 2.10/0.66 % (8561)Instructions burned: 33 (million)
% 2.10/0.66 % (8561)------------------------------
% 2.10/0.66 % (8561)------------------------------
% 2.10/0.66 % (8560)Instruction limit reached!
% 2.10/0.66 % (8560)------------------------------
% 2.10/0.66 % (8560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.66 % (8560)Termination reason: Unknown
% 2.10/0.66 % (8560)Termination phase: Saturation
% 2.10/0.66
% 2.10/0.66 % (8560)Memory used [KB]: 5884
% 2.10/0.66 % (8560)Time elapsed: 0.021 s
% 2.10/0.66 % (8560)Instructions burned: 62 (million)
% 2.10/0.66 % (8560)------------------------------
% 2.10/0.66 % (8560)------------------------------
% 2.10/0.67 % (8563)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 (2997ds/453Mi)
% 2.10/0.67 % (8564)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 (2997ds/71Mi)
% 2.10/0.67 % (8565)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2997ds/83Mi)
% 2.10/0.68 % (8565)Refutation not found, incomplete strategy
% 2.10/0.68 % (8565)------------------------------
% 2.10/0.68 % (8565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.68 % (8565)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.68
% 2.10/0.68
% 2.10/0.68 % (8565)Memory used [KB]: 5628
% 2.10/0.68 % (8565)Time elapsed: 0.014 s
% 2.10/0.68 % (8565)Instructions burned: 34 (million)
% 2.10/0.68 % (8565)------------------------------
% 2.10/0.68 % (8565)------------------------------
% 2.10/0.69 % (8562)Instruction limit reached!
% 2.10/0.69 % (8562)------------------------------
% 2.10/0.69 % (8562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.69 % (8562)Termination reason: Unknown
% 2.10/0.69 % (8562)Termination phase: Saturation
% 2.10/0.69
% 2.10/0.69 % (8562)Memory used [KB]: 6012
% 2.10/0.69 % (8562)Time elapsed: 0.033 s
% 2.10/0.69 % (8562)Instructions burned: 96 (million)
% 2.10/0.69 % (8562)------------------------------
% 2.10/0.69 % (8562)------------------------------
% 2.10/0.69 % (8564)Instruction limit reached!
% 2.10/0.69 % (8564)------------------------------
% 2.10/0.69 % (8564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.69 % (8564)Termination reason: Unknown
% 2.10/0.69 % (8564)Termination phase: Saturation
% 2.10/0.69
% 2.10/0.69 % (8564)Memory used [KB]: 5756
% 2.10/0.69 % (8564)Time elapsed: 0.045 s
% 2.10/0.69 % (8564)Instructions burned: 72 (million)
% 2.10/0.69 % (8564)------------------------------
% 2.10/0.69 % (8564)------------------------------
% 2.10/0.69 % (8566)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2996ds/11Mi)
% 2.51/0.70 % (8566)Instruction limit reached!
% 2.51/0.70 % (8566)------------------------------
% 2.51/0.70 % (8566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.70 % (8566)Termination reason: Unknown
% 2.51/0.70 % (8566)Termination phase: Saturation
% 2.51/0.70
% 2.51/0.70 % (8566)Memory used [KB]: 5628
% 2.51/0.70 % (8566)Time elapsed: 0.005 s
% 2.51/0.70 % (8566)Instructions burned: 14 (million)
% 2.51/0.70 % (8566)------------------------------
% 2.51/0.70 % (8566)------------------------------
% 2.51/0.70 % (8567)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 (2996ds/41Mi)
% 2.51/0.70 % (8568)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.51/0.70 % (8568)Instruction limit reached!
% 2.51/0.70 % (8568)------------------------------
% 2.51/0.70 % (8568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.70 % (8568)Termination reason: Unknown
% 2.51/0.70 % (8568)Termination phase: Saturation
% 2.51/0.70
% 2.51/0.70 % (8568)Memory used [KB]: 1023
% 2.51/0.70 % (8568)Time elapsed: 0.003 s
% 2.51/0.70 % (8568)Instructions burned: 6 (million)
% 2.51/0.70 % (8568)------------------------------
% 2.51/0.70 % (8568)------------------------------
% 2.51/0.71 % (8569)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2996ds/150Mi)
% 2.51/0.71 % (8570)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 (2996ds/343Mi)
% 2.51/0.71 % (8570)Refutation not found, incomplete strategy
% 2.51/0.71 % (8570)------------------------------
% 2.51/0.71 % (8570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.71 % (8570)Termination reason: Refutation not found, incomplete strategy
% 2.51/0.71
% 2.51/0.71
% 2.51/0.71 % (8570)Memory used [KB]: 5500
% 2.51/0.71 % (8570)Time elapsed: 0.004 s
% 2.51/0.71 % (8570)Instructions burned: 9 (million)
% 2.51/0.71 % (8570)------------------------------
% 2.51/0.71 % (8570)------------------------------
% 2.51/0.71 % (8567)Instruction limit reached!
% 2.51/0.71 % (8567)------------------------------
% 2.51/0.71 % (8567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.71 % (8567)Termination reason: Unknown
% 2.51/0.71 % (8567)Termination phase: Saturation
% 2.51/0.71
% 2.51/0.71 % (8567)Memory used [KB]: 5884
% 2.51/0.71 % (8567)Time elapsed: 0.014 s
% 2.51/0.71 % (8567)Instructions burned: 41 (million)
% 2.51/0.71 % (8567)------------------------------
% 2.51/0.71 % (8567)------------------------------
% 2.51/0.72 % (8572)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 (2996ds/253Mi)
% 2.51/0.72 % (8571)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 (2996ds/109Mi)
% 2.51/0.72 % (8572)Refutation not found, incomplete strategy
% 2.51/0.72 % (8572)------------------------------
% 2.51/0.72 % (8572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.72 % (8572)Termination reason: Refutation not found, incomplete strategy
% 2.51/0.72
% 2.51/0.72
% 2.51/0.72 % (8572)Memory used [KB]: 5628
% 2.51/0.72 % (8572)Time elapsed: 0.004 s
% 2.51/0.72 % (8572)Instructions burned: 8 (million)
% 2.51/0.72 % (8572)------------------------------
% 2.51/0.72 % (8572)------------------------------
% 2.51/0.73 % (8573)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2996ds/140Mi)
% 2.51/0.73 % (8573)Refutation not found, incomplete strategy
% 2.51/0.73 % (8573)------------------------------
% 2.51/0.73 % (8573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.73 % (8573)Termination reason: Refutation not found, incomplete strategy
% 2.51/0.73
% 2.51/0.73
% 2.51/0.73 % (8573)Memory used [KB]: 5628
% 2.51/0.73 % (8573)Time elapsed: 0.004 s
% 2.51/0.73 % (8573)Instructions burned: 8 (million)
% 2.51/0.73 % (8573)------------------------------
% 2.51/0.73 % (8573)------------------------------
% 2.51/0.74 % (8574)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 (2996ds/614Mi)
% 2.51/0.75 % (8569)Instruction limit reached!
% 2.51/0.75 % (8569)------------------------------
% 2.51/0.75 % (8569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.51/0.75 % (8569)Termination reason: Unknown
% 2.51/0.75 % (8569)Termination phase: Saturation
% 2.51/0.75
% 2.51/0.75 % (8569)Memory used [KB]: 5756
% 2.51/0.75 % (8569)Time elapsed: 0.045 s
% 2.51/0.75 % (8569)Instructions burned: 152 (million)
% 2.51/0.75 % (8569)------------------------------
% 2.51/0.75 % (8569)------------------------------
% 2.81/0.76 % (8571)Instruction limit reached!
% 2.81/0.76 % (8571)------------------------------
% 2.81/0.76 % (8571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.81/0.76 % (8571)Termination reason: Unknown
% 2.81/0.76 % (8571)Termination phase: Saturation
% 2.81/0.76
% 2.81/0.76 % (8571)Memory used [KB]: 6140
% 2.81/0.76 % (8571)Time elapsed: 0.038 s
% 2.81/0.76 % (8571)Instructions burned: 111 (million)
% 2.81/0.76 % (8571)------------------------------
% 2.81/0.76 % (8571)------------------------------
% 2.81/0.76 % (8575)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 (2996ds/202Mi)
% 2.81/0.76 % (8575)Refutation not found, incomplete strategy
% 2.81/0.76 % (8575)------------------------------
% 2.81/0.76 % (8575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.81/0.76 % (8575)Termination reason: Refutation not found, incomplete strategy
% 2.81/0.76
% 2.81/0.76
% 2.81/0.76 % (8575)Memory used [KB]: 5628
% 2.81/0.76 % (8575)Time elapsed: 0.003 s
% 2.81/0.76 % (8575)Instructions burned: 6 (million)
% 2.81/0.76 % (8575)------------------------------
% 2.81/0.76 % (8575)------------------------------
% 2.81/0.77 % (8576)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 (2996ds/339Mi)
% 2.81/0.77 % (8577)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 (2996ds/283Mi)
% 2.81/0.77 % (8559)Instruction limit reached!
% 2.81/0.77 % (8559)------------------------------
% 2.81/0.77 % (8559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.81/0.77 % (8559)Termination reason: Unknown
% 2.81/0.77 % (8559)Termination phase: Saturation
% 2.81/0.77
% 2.81/0.77 % (8559)Memory used [KB]: 2686
% 2.81/0.77 % (8559)Time elapsed: 0.135 s
% 2.81/0.77 % (8559)Instructions burned: 435 (million)
% 2.81/0.77 % (8559)------------------------------
% 2.81/0.77 % (8559)------------------------------
% 2.81/0.78 % (8576)Refutation not found, incomplete strategy
% 2.81/0.78 % (8576)------------------------------
% 2.81/0.78 % (8576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.81/0.78 % (8576)Termination reason: Refutation not found, incomplete strategy
% 2.81/0.78
% 2.81/0.78
% 2.81/0.78 % (8576)Memory used [KB]: 5628
% 2.81/0.78 % (8576)Time elapsed: 0.010 s
% 2.81/0.78 % (8576)Instructions burned: 30 (million)
% 2.81/0.78 % (8576)------------------------------
% 2.81/0.78 % (8576)------------------------------
% 2.81/0.78 % (8536)Instruction limit reached!
% 2.81/0.78 % (8536)------------------------------
% 2.81/0.78 % (8536)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.81/0.78 % (8536)Termination reason: Unknown
% 2.81/0.78 % (8536)Termination phase: Saturation
% 2.81/0.78
% 2.81/0.78 % (8536)Memory used [KB]: 7547
% 2.81/0.78 % (8536)Time elapsed: 0.287 s
% 2.81/0.78 % (8536)Instructions burned: 780 (million)
% 2.81/0.78 % (8536)------------------------------
% 2.81/0.78 % (8536)------------------------------
% 2.81/0.78 % (8578)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 (2996ds/134Mi)
% 2.81/0.78 % (8579)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2996ds/298Mi)
% 2.81/0.79 % (8580)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2996ds/192Mi)
% 2.81/0.81 % (8520)Instruction limit reached!
% 2.81/0.81 % (8520)------------------------------
% 2.81/0.81 % (8520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.81/0.81 % (8520)Termination reason: Unknown
% 2.81/0.81 % (8520)Termination phase: Saturation
% 2.81/0.81
% 2.81/0.81 % (8520)Memory used [KB]: 7675
% 2.81/0.81 % (8520)Time elapsed: 0.389 s
% 2.81/0.81 % (8520)Instructions burned: 1041 (million)
% 2.81/0.81 % (8520)------------------------------
% 2.81/0.81 % (8520)------------------------------
% 2.81/0.81 % (8581)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 (2995ds/258Mi)
% 2.81/0.82 % (8563)Instruction limit reached!
% 2.81/0.82 % (8563)------------------------------
% 2.81/0.82 % (8563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.81/0.82 % (8563)Termination reason: Unknown
% 2.81/0.82 % (8563)Termination phase: Saturation
% 2.81/0.82
% 2.81/0.82 % (8563)Memory used [KB]: 6524
% 2.81/0.82 % (8563)Time elapsed: 0.175 s
% 2.81/0.82 % (8563)Instructions burned: 454 (million)
% 2.81/0.82 % (8563)------------------------------
% 2.81/0.82 % (8563)------------------------------
% 2.81/0.83 % (8578)Instruction limit reached!
% 2.81/0.83 % (8578)------------------------------
% 2.81/0.83 % (8578)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.81/0.83 % (8578)Termination reason: Unknown
% 2.81/0.83 % (8578)Termination phase: Saturation
% 2.81/0.83
% 2.81/0.83 % (8578)Memory used [KB]: 6268
% 2.81/0.83 % (8578)Time elapsed: 0.046 s
% 2.81/0.83 % (8578)Instructions burned: 134 (million)
% 2.81/0.83 % (8578)------------------------------
% 2.81/0.83 % (8578)------------------------------
% 2.81/0.83 % (8582)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 (2995ds/90Mi)
% 2.81/0.84 % (8583)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 (2995ds/231Mi)
% 2.81/0.85 % (8538)First to succeed.
% 2.81/0.85 % (8580)Instruction limit reached!
% 2.81/0.85 % (8580)------------------------------
% 2.81/0.85 % (8580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.81/0.85 % (8580)Termination reason: Unknown
% 2.81/0.85 % (8580)Termination phase: Saturation
% 2.81/0.85
% 2.81/0.85 % (8580)Memory used [KB]: 6012
% 2.81/0.85 % (8580)Time elapsed: 0.065 s
% 2.81/0.85 % (8580)Instructions burned: 193 (million)
% 2.81/0.85 % (8580)------------------------------
% 2.81/0.85 % (8580)------------------------------
% 3.51/0.86 % (8577)Instruction limit reached!
% 3.51/0.86 % (8577)------------------------------
% 3.51/0.86 % (8577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.51/0.86 % (8577)Termination reason: Unknown
% 3.51/0.86 % (8577)Termination phase: Saturation
% 3.51/0.86
% 3.51/0.86 % (8577)Memory used [KB]: 6908
% 3.51/0.86 % (8577)Time elapsed: 0.087 s
% 3.51/0.86 % (8577)Instructions burned: 285 (million)
% 3.51/0.86 % (8577)------------------------------
% 3.51/0.86 % (8577)------------------------------
% 3.51/0.86 % (8584)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 (2995ds/458Mi)
% 3.51/0.86 % (8538)Refutation found. Thanks to Tanya!
% 3.51/0.86 % SZS status Theorem for theBenchmark
% 3.51/0.86 % SZS output start Proof for theBenchmark
% 3.51/0.86 thf(type_def_6, type, individuals: $tType).
% 3.51/0.86 thf(func_def_1, type, prop_a: $i > $o).
% 3.51/0.86 thf(func_def_2, type, prop_b: $i > $o).
% 3.51/0.86 thf(func_def_3, type, prop_c: $i > $o).
% 3.51/0.86 thf(func_def_4, type, mfalse: $i > $o).
% 3.51/0.86 thf(func_def_5, type, mtrue: $i > $o).
% 3.51/0.86 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_14, type, individuals: $tType).
% 3.51/0.86 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 3.51/0.86 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 3.51/0.86 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 3.51/0.86 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 3.51/0.86 thf(func_def_21, type, reli: $i > $i > $o).
% 3.51/0.86 thf(func_def_22, type, relr: $i > $i > $o).
% 3.51/0.86 thf(func_def_23, type, cs4_atom: ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_24, type, cs4_and: ($i > $o) > ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_25, type, cs4_or: ($i > $o) > ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_26, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_27, type, cs4_true: $i > $o).
% 3.51/0.86 thf(func_def_28, type, cs4_false: $i > $o).
% 3.51/0.86 thf(func_def_29, type, cs4_all: (individuals > $i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_30, type, cs4_box: ($i > $o) > $i > $o).
% 3.51/0.86 thf(func_def_31, type, cs4_valid: ($i > $o) > $o).
% 3.51/0.86 thf(func_def_45, type, sK0: $i > $o).
% 3.51/0.86 thf(func_def_46, type, sK1: $i > $o).
% 3.51/0.86 thf(func_def_48, type, sK3: $i > ($i > $o) > $i).
% 3.51/0.86 thf(func_def_49, type, sK4: $i > ($i > $o) > $i).
% 3.51/0.86 thf(func_def_50, type, sK5: $i > ($i > $o) > $i).
% 3.51/0.86 thf(func_def_53, type, sK8: $i > $i).
% 3.51/0.86 thf(func_def_58, type, sK13: $i > ($i > $o) > $i).
% 3.51/0.86 thf(func_def_59, type, sK14: $i > ($i > $o) > $i).
% 3.51/0.86 thf(func_def_60, type, sK15: $i > ($i > $o) > $i).
% 3.51/0.86 thf(func_def_61, type, ph16: !>[X0: $tType]:(X0)).
% 3.51/0.86 thf(f2961,plain,(
% 3.51/0.86 $false),
% 3.51/0.86 inference(avatar_sat_refutation,[],[f384,f439,f890,f2139,f2778,f2946])).
% 3.51/0.86 thf(f2946,plain,(
% 3.51/0.86 spl2_7 | ~spl2_2 | ~spl2_6),
% 3.51/0.86 inference(avatar_split_clause,[],[f2945,f428,f381,f432])).
% 3.51/0.86 thf(f432,plain,(
% 3.51/0.86 spl2_7 <=> ! [X0] : (($true = (sK0 @ X0)) | ($false = (reli @ sK11 @ X0)))),
% 3.51/0.86 introduced(avatar_definition,[new_symbols(naming,[spl2_7])])).
% 3.51/0.86 thf(f381,plain,(
% 3.51/0.86 spl2_2 <=> ! [X0,X1] : (($false = (reli @ X0 @ X1)) | ((sK0 @ X1) = $true) | ($false = (sK1 @ (sK8 @ X0))) | ($false = (reli @ sK11 @ X0)))),
% 3.51/0.86 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 3.51/0.86 thf(f428,plain,(
% 3.51/0.86 spl2_6 <=> ($true = (sK1 @ (sK8 @ sK11)))),
% 3.51/0.86 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])).
% 3.51/0.86 thf(f2945,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = (reli @ sK11 @ X0)) | ($true = (sK0 @ X0))) ) | (~spl2_2 | ~spl2_6)),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f2944])).
% 3.51/0.86 thf(f2944,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = $true) | ($false = (reli @ sK11 @ X0)) | ($true = (sK0 @ X0))) ) | (~spl2_2 | ~spl2_6)),
% 3.51/0.86 inference(forward_demodulation,[],[f2903,f430])).
% 3.51/0.86 thf(f430,plain,(
% 3.51/0.86 ($true = (sK1 @ (sK8 @ sK11))) | ~spl2_6),
% 3.51/0.86 inference(avatar_component_clause,[],[f428])).
% 3.51/0.86 thf(f2903,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = (reli @ sK11 @ X0)) | ($false = (sK1 @ (sK8 @ sK11))) | ($true = (sK0 @ X0))) ) | ~spl2_2),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f2874])).
% 3.51/0.86 thf(f2874,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = (sK1 @ (sK8 @ sK11))) | ($false = (reli @ sK11 @ X0)) | ($false = $true) | ($true = (sK0 @ X0))) ) | ~spl2_2),
% 3.51/0.86 inference(superposition,[],[f382,f280])).
% 3.51/0.86 thf(f280,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($true = (reli @ X0 @ X0))) )),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f279])).
% 3.51/0.86 thf(f279,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = $true) | ($true = (reli @ X0 @ X0))) )),
% 3.51/0.86 inference(duplicate_literal_removal,[],[f276])).
% 3.51/0.86 thf(f276,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = $true) | ($true = (reli @ X0 @ X0)) | ($true = (reli @ X0 @ X0))) )),
% 3.51/0.86 inference(superposition,[],[f144,f145])).
% 3.51/0.86 thf(f145,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : (((reli @ X1 @ (sK3 @ X1 @ X0)) = $true) | ((X0 @ X1) = $true)) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f143])).
% 3.51/0.86 thf(f143,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($false = ((reli @ X1 @ (sK3 @ X1 @ X0)) => (X0 @ (sK3 @ X1 @ X0))))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f142])).
% 3.51/0.86 thf(f142,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($false = ((^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))) @ (sK3 @ X1 @ X0)))) )),
% 3.51/0.86 inference(sigma_clausification,[],[f141])).
% 3.51/0.86 thf(f141,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))) )),
% 3.51/0.86 inference(not_proxy_clausification,[],[f140])).
% 3.51/0.86 thf(f140,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))) | ((X0 @ X1) = $true)) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f139])).
% 3.51/0.86 thf(f139,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) | (X0 @ X1)))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f138])).
% 3.51/0.86 thf(f138,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1))))) | (X0 @ Y0))) @ X1))) )),
% 3.51/0.86 inference(pi_clausification,[],[f137])).
% 3.51/0.86 thf(f137,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1))))) | (X0 @ Y0)))))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f132])).
% 3.51/0.86 thf(f132,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ X0) @ X0)))) )),
% 3.51/0.86 inference(definition_unfolding,[],[f110,f99,f120,f90])).
% 3.51/0.86 thf(f90,plain,(
% 3.51/0.86 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 3.51/0.86 inference(cnf_transformation,[],[f44])).
% 3.51/0.86 thf(f44,plain,(
% 3.51/0.86 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 3.51/0.86 inference(fool_elimination,[],[f43])).
% 3.51/0.86 thf(f43,plain,(
% 3.51/0.86 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 3.51/0.86 inference(rectify,[],[f8])).
% 3.51/0.86 thf(f8,axiom,(
% 3.51/0.86 ((^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))) = mbox)),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 3.51/0.86 thf(f120,plain,(
% 3.51/0.86 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 3.51/0.86 inference(definition_unfolding,[],[f93,f98,f101])).
% 3.51/0.86 thf(f101,plain,(
% 3.51/0.86 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 3.51/0.86 inference(cnf_transformation,[],[f80])).
% 3.51/0.86 thf(f80,plain,(
% 3.51/0.86 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 3.51/0.86 inference(fool_elimination,[],[f79])).
% 3.51/0.86 thf(f79,plain,(
% 3.51/0.86 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 3.51/0.86 inference(rectify,[],[f3])).
% 3.51/0.86 thf(f3,axiom,(
% 3.51/0.86 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 3.51/0.86 thf(f98,plain,(
% 3.51/0.86 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 3.51/0.86 inference(cnf_transformation,[],[f82])).
% 3.51/0.86 thf(f82,plain,(
% 3.51/0.86 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 3.51/0.86 inference(fool_elimination,[],[f81])).
% 3.51/0.86 thf(f81,plain,(
% 3.51/0.86 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 3.51/0.86 inference(rectify,[],[f4])).
% 3.51/0.86 thf(f4,axiom,(
% 3.51/0.86 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) | (X0 @ X1))))),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 3.51/0.86 thf(f93,plain,(
% 3.51/0.86 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 3.51/0.86 inference(cnf_transformation,[],[f64])).
% 3.51/0.86 thf(f64,plain,(
% 3.51/0.86 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 3.51/0.86 inference(fool_elimination,[],[f63])).
% 3.51/0.86 thf(f63,plain,(
% 3.51/0.86 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 3.51/0.86 inference(rectify,[],[f6])).
% 3.51/0.86 thf(f6,axiom,(
% 3.51/0.86 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimpl)).
% 3.51/0.86 thf(f99,plain,(
% 3.51/0.86 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 3.51/0.86 inference(cnf_transformation,[],[f50])).
% 3.51/0.86 thf(f50,plain,(
% 3.51/0.86 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 3.51/0.86 inference(fool_elimination,[],[f49])).
% 3.51/0.86 thf(f49,plain,(
% 3.51/0.86 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 3.51/0.86 inference(rectify,[],[f12])).
% 3.51/0.86 thf(f12,axiom,(
% 3.51/0.86 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 3.51/0.86 thf(f110,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o] : (($true = (mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0)))) )),
% 3.51/0.86 inference(cnf_transformation,[],[f58])).
% 3.51/0.86 thf(f58,plain,(
% 3.51/0.86 ! [X0 : $i > $o] : ($true = (mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0)))),
% 3.51/0.86 inference(fool_elimination,[],[f57])).
% 3.51/0.86 thf(f57,plain,(
% 3.51/0.86 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X0) @ X0))),
% 3.51/0.86 inference(rectify,[],[f25])).
% 3.51/0.86 thf(f25,axiom,(
% 3.51/0.86 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X7) @ X7))),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom_i)).
% 3.51/0.86 thf(f144,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : (($false = (X0 @ (sK3 @ X1 @ X0))) | ((X0 @ X1) = $true)) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f143])).
% 3.51/0.86 thf(f382,plain,(
% 3.51/0.86 ( ! [X0 : $i,X1 : $i] : (($false = (reli @ sK11 @ X0)) | ($false = (reli @ X0 @ X1)) | ($false = (sK1 @ (sK8 @ X0))) | ((sK0 @ X1) = $true)) ) | ~spl2_2),
% 3.51/0.86 inference(avatar_component_clause,[],[f381])).
% 3.51/0.86 thf(f2778,plain,(
% 3.51/0.86 spl2_1 | ~spl2_8),
% 3.51/0.86 inference(avatar_contradiction_clause,[],[f2777])).
% 3.51/0.86 thf(f2777,plain,(
% 3.51/0.86 $false | (spl2_1 | ~spl2_8)),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f2769])).
% 3.51/0.86 thf(f2769,plain,(
% 3.51/0.86 ($false = $true) | (spl2_1 | ~spl2_8)),
% 3.51/0.86 inference(superposition,[],[f2719,f280])).
% 3.51/0.86 thf(f2719,plain,(
% 3.51/0.86 ($false = (reli @ sK11 @ sK11)) | (spl2_1 | ~spl2_8)),
% 3.51/0.86 inference(subsumption_resolution,[],[f2712,f378])).
% 3.51/0.86 thf(f378,plain,(
% 3.51/0.86 ($false != (reli @ sK7 @ sK10)) | spl2_1),
% 3.51/0.86 inference(avatar_component_clause,[],[f377])).
% 3.51/0.86 thf(f377,plain,(
% 3.51/0.86 spl2_1 <=> ($false = (reli @ sK7 @ sK10))),
% 3.51/0.86 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 3.51/0.86 thf(f2712,plain,(
% 3.51/0.86 ($false = (reli @ sK11 @ sK11)) | ($false = (reli @ sK7 @ sK10)) | ~spl2_8),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f2703])).
% 3.51/0.86 thf(f2703,plain,(
% 3.51/0.86 ($false = (reli @ sK11 @ sK11)) | ($false = (reli @ sK7 @ sK10)) | ($false = $true) | ~spl2_8),
% 3.51/0.86 inference(superposition,[],[f226,f436])).
% 3.51/0.86 thf(f436,plain,(
% 3.51/0.86 ( ! [X2 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ sK7 @ X1)) | ($false = (reli @ X2 @ sK11))) ) | ~spl2_8),
% 3.51/0.86 inference(avatar_component_clause,[],[f435])).
% 3.51/0.86 thf(f435,plain,(
% 3.51/0.86 spl2_8 <=> ! [X2,X1] : (($false = (reli @ X2 @ sK11)) | ($false = (reli @ sK7 @ X1)) | ($false = (relr @ X1 @ X2)))),
% 3.51/0.86 introduced(avatar_definition,[new_symbols(naming,[spl2_8])])).
% 3.51/0.86 thf(f226,plain,(
% 3.51/0.86 ((relr @ sK10 @ sK11) = $true)),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f224])).
% 3.51/0.86 thf(f224,plain,(
% 3.51/0.86 ($false = ((relr @ sK10 @ sK11) => (!! @ $i @ (^[Y0 : $i]: ((reli @ sK11 @ Y0) => (sK0 @ Y0))))))),
% 3.51/0.86 inference(beta_eta_normalization,[],[f223])).
% 3.51/0.86 thf(f223,plain,(
% 3.51/0.86 ($false = ((^[Y0 : $i]: ((relr @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1)))))) @ sK11))),
% 3.51/0.86 inference(sigma_clausification,[],[f221])).
% 3.51/0.86 thf(f221,plain,(
% 3.51/0.86 ($false = (!! @ $i @ (^[Y0 : $i]: ((relr @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1))))))))),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f220])).
% 3.51/0.86 thf(f220,plain,(
% 3.51/0.86 ($false = ((reli @ sK9 @ sK10) => (!! @ $i @ (^[Y0 : $i]: ((relr @ sK10 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1)))))))))),
% 3.51/0.86 inference(beta_eta_normalization,[],[f219])).
% 3.51/0.86 thf(f219,plain,(
% 3.51/0.86 ($false = ((^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2))))))))) @ sK10))),
% 3.51/0.86 inference(sigma_clausification,[],[f207])).
% 3.51/0.86 thf(f207,plain,(
% 3.51/0.86 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))))))))))),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f205])).
% 3.51/0.86 thf(f205,plain,(
% 3.51/0.86 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK1 @ Y2))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2))))))))))))),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f204])).
% 3.51/0.86 thf(f204,plain,(
% 3.51/0.86 ($false = ((reli @ sK7 @ sK9) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK1 @ Y2))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))))))))))))),
% 3.51/0.86 inference(beta_eta_normalization,[],[f203])).
% 3.51/0.86 thf(f203,plain,(
% 3.51/0.86 ($false = ((^[Y0 : $i]: ((reli @ sK7 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK1 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3))))))))))))) @ sK9))),
% 3.51/0.86 inference(sigma_clausification,[],[f181])).
% 3.51/0.86 thf(f181,plain,(
% 3.51/0.86 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK1 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3)))))))))))))))),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f179])).
% 3.51/0.86 thf(f179,plain,(
% 3.51/0.86 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3))))))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK1 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3))))))))))))))))),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f178])).
% 3.51/0.86 thf(f178,plain,(
% 3.51/0.86 (((reli @ sK6 @ sK7) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3))))))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK1 @ Y3))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3)))))))))))))))) = $false)),
% 3.51/0.86 inference(beta_eta_normalization,[],[f177])).
% 3.51/0.86 thf(f177,plain,(
% 3.51/0.86 ($false = ((^[Y0 : $i]: ((reli @ sK6 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK1 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK0 @ Y4))))))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK1 @ Y4))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK0 @ Y4))))))))))))))))) @ sK7))),
% 3.51/0.86 inference(sigma_clausification,[],[f176])).
% 3.51/0.86 thf(f176,plain,(
% 3.51/0.86 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK6 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((relr @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK1 @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK0 @ Y4))))))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK1 @ Y4))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => (sK0 @ Y4)))))))))))))))))))),
% 3.51/0.86 inference(beta_eta_normalization,[],[f175])).
% 3.51/0.86 thf(f175,plain,(
% 3.51/0.86 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK1 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK0 @ Y5))))))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK1 @ Y5))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK0 @ Y5))))))))))))))))))) @ sK6))),
% 3.51/0.86 inference(sigma_clausification,[],[f174])).
% 3.51/0.86 thf(f174,plain,(
% 3.51/0.86 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK1 @ Y5))))) | (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK0 @ Y5))))))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK1 @ Y5))))))))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((relr @ Y3 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK0 @ Y5)))))))))))))))))))))),
% 3.51/0.86 inference(beta_eta_normalization,[],[f131])).
% 3.51/0.86 thf(f131,plain,(
% 3.51/0.86 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)) @ sK1) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)) @ sK0))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)) @ sK1)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)) @ sK0))))) != $true)),
% 3.51/0.86 inference(definition_unfolding,[],[f92,f130,f125,f129,f125,f122,f122,f125,f129,f122,f129,f122])).
% 3.51/0.86 thf(f122,plain,(
% 3.51/0.86 (cs4_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)))),
% 3.51/0.86 inference(definition_unfolding,[],[f96,f90])).
% 3.51/0.86 thf(f96,plain,(
% 3.51/0.86 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 3.51/0.86 inference(cnf_transformation,[],[f34])).
% 3.51/0.86 thf(f34,plain,(
% 3.51/0.86 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 3.51/0.86 inference(fool_elimination,[],[f33])).
% 3.51/0.86 thf(f33,plain,(
% 3.51/0.86 (cs4_atom = (^[X0 : $i > $o] : (mbox @ reli @ X0)))),
% 3.51/0.86 inference(rectify,[],[f16])).
% 3.51/0.86 thf(f16,axiom,(
% 3.51/0.86 (cs4_atom = (^[X5 : $i > $o] : (mbox @ reli @ X5)))),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_atom)).
% 3.51/0.86 thf(f129,plain,(
% 3.51/0.86 (cs4_box = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0))))),
% 3.51/0.86 inference(definition_unfolding,[],[f108,f90,f90])).
% 3.51/0.86 thf(f108,plain,(
% 3.51/0.86 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 3.51/0.86 inference(cnf_transformation,[],[f84])).
% 3.51/0.86 thf(f84,plain,(
% 3.51/0.86 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 3.51/0.86 inference(fool_elimination,[],[f83])).
% 3.51/0.86 thf(f83,plain,(
% 3.51/0.86 ((^[X0 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X0))) = cs4_box)),
% 3.51/0.86 inference(rectify,[],[f23])).
% 3.51/0.86 thf(f23,axiom,(
% 3.51/0.86 ((^[X7 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X7))) = cs4_box)),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_box)).
% 3.51/0.86 thf(f125,plain,(
% 3.51/0.86 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 3.51/0.86 inference(definition_unfolding,[],[f106,f90,f120])).
% 3.51/0.86 thf(f106,plain,(
% 3.51/0.86 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 3.51/0.86 inference(cnf_transformation,[],[f74])).
% 3.51/0.86 thf(f74,plain,(
% 3.51/0.86 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 3.51/0.86 inference(fool_elimination,[],[f73])).
% 3.51/0.86 thf(f73,plain,(
% 3.51/0.86 (cs4_impl = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ reli @ (mimpl @ X0 @ X1))))),
% 3.51/0.86 inference(rectify,[],[f19])).
% 3.51/0.86 thf(f19,axiom,(
% 3.51/0.86 (cs4_impl = (^[X7 : $i > $o, X8 : $i > $o] : (mbox @ reli @ (mimpl @ X7 @ X8))))),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_impl)).
% 3.51/0.86 thf(f130,plain,(
% 3.51/0.86 (cs4_valid = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 3.51/0.86 inference(definition_unfolding,[],[f100,f99])).
% 3.51/0.86 thf(f100,plain,(
% 3.51/0.86 (cs4_valid = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 3.51/0.86 inference(cnf_transformation,[],[f36])).
% 3.51/0.86 thf(f36,plain,(
% 3.51/0.86 (cs4_valid = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 3.51/0.86 inference(fool_elimination,[],[f35])).
% 3.51/0.86 thf(f35,plain,(
% 3.51/0.86 ((^[X0 : $i > $o] : (mvalid @ X0)) = cs4_valid)),
% 3.51/0.86 inference(rectify,[],[f24])).
% 3.51/0.86 thf(f24,axiom,(
% 3.51/0.86 ((^[X7 : $i > $o] : (mvalid @ X7)) = cs4_valid)),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_valid_def)).
% 3.51/0.86 thf(f92,plain,(
% 3.51/0.86 ((cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_impl @ (cs4_atom @ sK1) @ (cs4_atom @ sK0))) @ (cs4_impl @ (cs4_box @ (cs4_atom @ sK1)) @ (cs4_box @ (cs4_atom @ sK0))))) != $true)),
% 3.51/0.86 inference(cnf_transformation,[],[f89])).
% 3.51/0.86 thf(f89,plain,(
% 3.51/0.86 ((cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_impl @ (cs4_atom @ sK1) @ (cs4_atom @ sK0))) @ (cs4_impl @ (cs4_box @ (cs4_atom @ sK1)) @ (cs4_box @ (cs4_atom @ sK0))))) != $true)),
% 3.51/0.86 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f87,f88])).
% 3.51/0.86 thf(f88,plain,(
% 3.51/0.86 ? [X0 : $i > $o,X1 : $i > $o] : ($true != (cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_impl @ (cs4_atom @ X1) @ (cs4_atom @ X0))) @ (cs4_impl @ (cs4_box @ (cs4_atom @ X1)) @ (cs4_box @ (cs4_atom @ X0)))))) => ((cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_impl @ (cs4_atom @ sK1) @ (cs4_atom @ sK0))) @ (cs4_impl @ (cs4_box @ (cs4_atom @ sK1)) @ (cs4_box @ (cs4_atom @ sK0))))) != $true)),
% 3.51/0.86 introduced(choice_axiom,[])).
% 3.51/0.86 thf(f87,plain,(
% 3.51/0.86 ? [X0 : $i > $o,X1 : $i > $o] : ($true != (cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_impl @ (cs4_atom @ X1) @ (cs4_atom @ X0))) @ (cs4_impl @ (cs4_box @ (cs4_atom @ X1)) @ (cs4_box @ (cs4_atom @ X0))))))),
% 3.51/0.86 inference(ennf_transformation,[],[f40])).
% 3.51/0.86 thf(f40,plain,(
% 3.51/0.86 ~! [X0 : $i > $o,X1 : $i > $o] : ($true = (cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_impl @ (cs4_atom @ X1) @ (cs4_atom @ X0))) @ (cs4_impl @ (cs4_box @ (cs4_atom @ X1)) @ (cs4_box @ (cs4_atom @ X0))))))),
% 3.51/0.86 inference(fool_elimination,[],[f39])).
% 3.51/0.86 thf(f39,plain,(
% 3.51/0.86 ~! [X0 : $i > $o,X1 : $i > $o] : (cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_impl @ (cs4_atom @ X1) @ (cs4_atom @ X0))) @ (cs4_impl @ (cs4_box @ (cs4_atom @ X1)) @ (cs4_box @ (cs4_atom @ X0)))))),
% 3.51/0.86 inference(rectify,[],[f31])).
% 3.51/0.86 thf(f31,negated_conjecture,(
% 3.51/0.86 ~! [X8 : $i > $o,X7 : $i > $o] : (cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_impl @ (cs4_atom @ X7) @ (cs4_atom @ X8))) @ (cs4_impl @ (cs4_box @ (cs4_atom @ X7)) @ (cs4_box @ (cs4_atom @ X8)))))),
% 3.51/0.86 inference(negated_conjecture,[],[f30])).
% 3.51/0.86 thf(f30,conjecture,(
% 3.51/0.86 ! [X8 : $i > $o,X7 : $i > $o] : (cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_impl @ (cs4_atom @ X7) @ (cs4_atom @ X8))) @ (cs4_impl @ (cs4_box @ (cs4_atom @ X7)) @ (cs4_box @ (cs4_atom @ X8)))))),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_k)).
% 3.51/0.86 thf(f2139,plain,(
% 3.51/0.86 ~spl2_1),
% 3.51/0.86 inference(avatar_contradiction_clause,[],[f2138])).
% 3.51/0.86 thf(f2138,plain,(
% 3.51/0.86 $false | ~spl2_1),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f2137])).
% 3.51/0.86 thf(f2137,plain,(
% 3.51/0.86 ($false = $true) | ~spl2_1),
% 3.51/0.86 inference(backward_demodulation,[],[f222,f2136])).
% 3.51/0.86 thf(f2136,plain,(
% 3.51/0.86 ($false = (reli @ sK9 @ sK10)) | ~spl2_1),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f2096])).
% 3.51/0.86 thf(f2096,plain,(
% 3.51/0.86 ($false = $true) | ($false = (reli @ sK9 @ sK10)) | ~spl2_1),
% 3.51/0.86 inference(superposition,[],[f1788,f206])).
% 3.51/0.86 thf(f206,plain,(
% 3.51/0.86 ($true = (reli @ sK7 @ sK9))),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f204])).
% 3.51/0.86 thf(f1788,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = (reli @ sK7 @ X0)) | ($false = (reli @ X0 @ sK10))) ) | ~spl2_1),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f1782])).
% 3.51/0.86 thf(f1782,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = (reli @ sK7 @ X0)) | ($false = (reli @ X0 @ sK10)) | ($false = $true)) ) | ~spl2_1),
% 3.51/0.86 inference(superposition,[],[f379,f566])).
% 3.51/0.86 thf(f566,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (reli @ X2 @ X1)) | ($false = (reli @ X0 @ X1)) | ($false = (reli @ X2 @ X0))) )),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f565])).
% 3.51/0.86 thf(f565,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false != $false) | ($false = (reli @ X0 @ X1)) | ($true = (reli @ X2 @ X1)) | ($false = (reli @ X2 @ X0))) )),
% 3.51/0.86 inference(duplicate_literal_removal,[],[f551])).
% 3.51/0.86 thf(f551,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false != $false) | ($false = (reli @ X2 @ X0)) | ($false = (reli @ X2 @ X0)) | ($true = (reli @ X2 @ X1)) | ($true = (reli @ X2 @ X1)) | ($false = (reli @ X0 @ X1))) )),
% 3.51/0.86 inference(equality_factoring,[],[f333])).
% 3.51/0.86 thf(f333,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = (reli @ X3 @ X4)) | ($false = (reli @ X0 @ X1)) | ((reli @ X0 @ X2) = $true) | ($false = (reli @ X1 @ X2)) | ((reli @ X0 @ X4) = $true) | ($false = (reli @ X0 @ X3))) )),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f326])).
% 3.51/0.86 thf(f326,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((reli @ X0 @ X4) = $true) | ($false = $true) | ($false = (reli @ X0 @ X1)) | ($false = (reli @ X0 @ X3)) | ($false = (reli @ X3 @ X4)) | ($false = (reli @ X1 @ X2)) | ((reli @ X0 @ X2) = $true)) )),
% 3.51/0.86 inference(superposition,[],[f173,f169])).
% 3.51/0.86 thf(f169,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($true = (reli @ X1 @ (sK5 @ X1 @ X0))) | ($false = (reli @ X1 @ X2)) | ($true = (X0 @ X3)) | ($false = (reli @ X2 @ X3))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f168])).
% 3.51/0.86 thf(f168,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (reli @ X1 @ X2)) | ($true = (reli @ X1 @ (sK5 @ X1 @ X0))) | ($true = ((reli @ X2 @ X3) => (X0 @ X3)))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f167])).
% 3.51/0.86 thf(f167,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))) @ X3)) | ($true = (reli @ X1 @ (sK5 @ X1 @ X0))) | ($false = (reli @ X1 @ X2))) )),
% 3.51/0.86 inference(pi_clausification,[],[f166])).
% 3.51/0.86 thf(f166,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (reli @ X1 @ X2)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))))) | ($true = (reli @ X1 @ (sK5 @ X1 @ X0)))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f165])).
% 3.51/0.86 thf(f165,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = ((reli @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0)))))) | ($true = (reli @ X1 @ (sK5 @ X1 @ X0)))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f163])).
% 3.51/0.86 thf(f163,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = ((reli @ X1 @ (sK5 @ X1 @ X0)) => (X0 @ (sK5 @ X1 @ X0)))) | ($true = ((reli @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))))))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f162])).
% 3.51/0.86 thf(f162,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = ((reli @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0)))))) | ($false = ((^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))) @ (sK5 @ X1 @ X0)))) )),
% 3.51/0.86 inference(sigma_clausification,[],[f161])).
% 3.51/0.86 thf(f161,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) | ($true = ((reli @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))))))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f160])).
% 3.51/0.86 thf(f160,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1)))))) @ X2)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))) )),
% 3.51/0.86 inference(pi_clausification,[],[f159])).
% 3.51/0.86 thf(f159,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1)))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))) )),
% 3.51/0.86 inference(not_proxy_clausification,[],[f158])).
% 3.51/0.86 thf(f158,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0)))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1))))))))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f157])).
% 3.51/0.86 thf(f157,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (X0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1)))))))) = $true)) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f156])).
% 3.51/0.86 thf(f156,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (X0 @ Y2))))))))) @ X1))) )),
% 3.51/0.86 inference(pi_clausification,[],[f155])).
% 3.51/0.86 thf(f155,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (X0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (X0 @ Y2)))))))))))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f135])).
% 3.51/0.86 thf(f135,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ X0) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ reli @ X0)))))) )),
% 3.51/0.86 inference(definition_unfolding,[],[f113,f99,f120,f90,f90,f90])).
% 3.51/0.86 thf(f113,plain,(
% 3.51/0.86 ( ! [X0 : $i > $o] : (($true = (mvalid @ (mimpl @ (mbox @ reli @ X0) @ (mbox @ reli @ (mbox @ reli @ X0)))))) )),
% 3.51/0.86 inference(cnf_transformation,[],[f62])).
% 3.51/0.86 thf(f62,plain,(
% 3.51/0.86 ! [X0 : $i > $o] : ($true = (mvalid @ (mimpl @ (mbox @ reli @ X0) @ (mbox @ reli @ (mbox @ reli @ X0)))))),
% 3.51/0.86 inference(fool_elimination,[],[f61])).
% 3.51/0.86 thf(f61,plain,(
% 3.51/0.86 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X0) @ (mbox @ reli @ (mbox @ reli @ X0))))),
% 3.51/0.86 inference(rectify,[],[f27])).
% 3.51/0.86 thf(f27,axiom,(
% 3.51/0.86 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ reli @ X7) @ (mbox @ reli @ (mbox @ reli @ X7))))),
% 3.51/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom_i)).
% 3.51/0.86 thf(f173,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (X0 @ (sK5 @ X1 @ X0))) | ($false = (reli @ X1 @ X2)) | ($true = (X0 @ X3)) | ($false = (reli @ X2 @ X3))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f172])).
% 3.51/0.86 thf(f172,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (X0 @ (sK5 @ X1 @ X0))) | ($true = ((reli @ X2 @ X3) => (X0 @ X3))) | ($false = (reli @ X1 @ X2))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f171])).
% 3.51/0.86 thf(f171,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (reli @ X1 @ X2)) | ($true = ((^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))) @ X3)) | ($false = (X0 @ (sK5 @ X1 @ X0)))) )),
% 3.51/0.86 inference(pi_clausification,[],[f170])).
% 3.51/0.86 thf(f170,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0))))) | ($false = (X0 @ (sK5 @ X1 @ X0))) | ($false = (reli @ X1 @ X2))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f164])).
% 3.51/0.86 thf(f164,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = ((reli @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (X0 @ Y0)))))) | ($false = (X0 @ (sK5 @ X1 @ X0)))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f163])).
% 3.51/0.86 thf(f379,plain,(
% 3.51/0.86 ($false = (reli @ sK7 @ sK10)) | ~spl2_1),
% 3.51/0.86 inference(avatar_component_clause,[],[f377])).
% 3.51/0.86 thf(f222,plain,(
% 3.51/0.86 ($true = (reli @ sK9 @ sK10))),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f220])).
% 3.51/0.86 thf(f890,plain,(
% 3.51/0.86 ~spl2_7),
% 3.51/0.86 inference(avatar_contradiction_clause,[],[f889])).
% 3.51/0.86 thf(f889,plain,(
% 3.51/0.86 $false | ~spl2_7),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f888])).
% 3.51/0.86 thf(f888,plain,(
% 3.51/0.86 ($false = $true) | ~spl2_7),
% 3.51/0.86 inference(forward_demodulation,[],[f877,f229])).
% 3.51/0.86 thf(f229,plain,(
% 3.51/0.86 ($false = (sK0 @ sK12))),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f228])).
% 3.51/0.86 thf(f228,plain,(
% 3.51/0.86 ($false = ((reli @ sK11 @ sK12) => (sK0 @ sK12)))),
% 3.51/0.86 inference(beta_eta_normalization,[],[f227])).
% 3.51/0.86 thf(f227,plain,(
% 3.51/0.86 ($false = ((^[Y0 : $i]: ((reli @ sK11 @ Y0) => (sK0 @ Y0))) @ sK12))),
% 3.51/0.86 inference(sigma_clausification,[],[f225])).
% 3.51/0.86 thf(f225,plain,(
% 3.51/0.86 ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK11 @ Y0) => (sK0 @ Y0)))))),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f224])).
% 3.51/0.86 thf(f877,plain,(
% 3.51/0.86 ($true = (sK0 @ sK12)) | ~spl2_7),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f867])).
% 3.51/0.86 thf(f867,plain,(
% 3.51/0.86 ($false = $true) | ($true = (sK0 @ sK12)) | ~spl2_7),
% 3.51/0.86 inference(superposition,[],[f230,f433])).
% 3.51/0.86 thf(f433,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = (reli @ sK11 @ X0)) | ($true = (sK0 @ X0))) ) | ~spl2_7),
% 3.51/0.86 inference(avatar_component_clause,[],[f432])).
% 3.51/0.86 thf(f230,plain,(
% 3.51/0.86 ((reli @ sK11 @ sK12) = $true)),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f228])).
% 3.51/0.86 thf(f439,plain,(
% 3.51/0.86 spl2_6 | spl2_7 | spl2_8),
% 3.51/0.86 inference(avatar_split_clause,[],[f413,f435,f432,f428])).
% 3.51/0.86 thf(f413,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (reli @ sK11 @ X0)) | ($false = (reli @ sK7 @ X1)) | ($true = (sK0 @ X0)) | ($false = (reli @ X2 @ sK11)) | ($true = (sK1 @ (sK8 @ sK11))) | ($false = (relr @ X1 @ X2))) )),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f409])).
% 3.51/0.86 thf(f409,plain,(
% 3.51/0.86 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (reli @ sK11 @ X0)) | ($false = (reli @ sK7 @ X1)) | ($false = $true) | ($true = (sK0 @ X0)) | ($true = (sK1 @ (sK8 @ sK11))) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ X2 @ sK11))) )),
% 3.51/0.86 inference(superposition,[],[f305,f201])).
% 3.51/0.86 thf(f201,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (reli @ X3 @ (sK8 @ X3))) | ($false = (reli @ X3 @ X4)) | ($false = (reli @ sK7 @ X1)) | ($false = (reli @ X2 @ X3)) | ($false = (relr @ X1 @ X2)) | ((sK0 @ X4) = $true)) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f200])).
% 3.51/0.86 thf(f200,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (reli @ sK7 @ X1)) | ($false = (relr @ X1 @ X2)) | ($true = (reli @ X3 @ (sK8 @ X3))) | ($true = ((reli @ X3 @ X4) => (sK0 @ X4))) | ($false = (reli @ X2 @ X3))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f198])).
% 3.51/0.86 thf(f198,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ sK7 @ X1)) | ($false = ((reli @ X3 @ (sK8 @ X3)) => (sK1 @ (sK8 @ X3)))) | ($false = (reli @ X2 @ X3)) | ($true = ((reli @ X3 @ X4) => (sK0 @ X4)))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f197])).
% 3.51/0.86 thf(f197,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK1 @ Y0))) @ (sK8 @ X3))) | ($false = (reli @ sK7 @ X1)) | ($false = (relr @ X1 @ X2)) | ($true = ((reli @ X3 @ X4) => (sK0 @ X4))) | ($false = (reli @ X2 @ X3))) )),
% 3.51/0.86 inference(sigma_clausification,[],[f196])).
% 3.51/0.86 thf(f196,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK1 @ Y0))))) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ sK7 @ X1)) | ($true = ((reli @ X3 @ X4) => (sK0 @ X4)))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f195])).
% 3.51/0.86 thf(f195,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (reli @ X2 @ X3)) | ($false = (reli @ sK7 @ X1)) | ($false = (relr @ X1 @ X2)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK1 @ Y0))))) | ($true = ((^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0))) @ X4))) )),
% 3.51/0.86 inference(pi_clausification,[],[f194])).
% 3.51/0.86 thf(f194,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0)))) = $true) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ sK7 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK1 @ Y0))))) | ($false = (reli @ X2 @ X3))) )),
% 3.51/0.86 inference(not_proxy_clausification,[],[f193])).
% 3.51/0.86 thf(f193,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (reli @ sK7 @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK1 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0)))) = $true) | ($false = (reli @ X2 @ X3)) | ($false = (relr @ X1 @ X2))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f192])).
% 3.51/0.86 thf(f192,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (reli @ X2 @ X3)) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0)))))) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ sK7 @ X1))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f191])).
% 3.51/0.86 thf(f191,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ sK7 @ X1)) | ($true = ((reli @ X2 @ X3) => ((~ (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((reli @ X3 @ Y0) => (sK0 @ Y0)))))))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f190])).
% 3.51/0.86 thf(f190,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($true = ((^[Y0 : $i]: ((reli @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1))))))) @ X3)) | ($false = (reli @ sK7 @ X1))) )),
% 3.51/0.86 inference(pi_clausification,[],[f189])).
% 3.51/0.86 thf(f189,plain,(
% 3.51/0.86 ( ! [X2 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1))))))))) | ($false = (reli @ sK7 @ X1))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f188])).
% 3.51/0.86 thf(f188,plain,(
% 3.51/0.86 ( ! [X2 : $i,X1 : $i] : (($false = (reli @ sK7 @ X1)) | ($true = ((relr @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK0 @ Y1))))))))))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f187])).
% 3.51/0.86 thf(f187,plain,(
% 3.51/0.86 ( ! [X2 : $i,X1 : $i] : (($false = (reli @ sK7 @ X1)) | ($true = ((^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))))))))) @ X2))) )),
% 3.51/0.86 inference(pi_clausification,[],[f186])).
% 3.51/0.86 thf(f186,plain,(
% 3.51/0.86 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))))))))))) | ($false = (reli @ sK7 @ X1))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f185])).
% 3.51/0.86 thf(f185,plain,(
% 3.51/0.86 ( ! [X1 : $i] : ((((reli @ sK7 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))))))))))) = $true)) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f184])).
% 3.51/0.86 thf(f184,plain,(
% 3.51/0.86 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3))))))))))))) @ X1))) )),
% 3.51/0.86 inference(pi_clausification,[],[f183])).
% 3.51/0.86 thf(f183,plain,(
% 3.51/0.86 ((!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3)))))))))))))) = $true)),
% 3.51/0.86 inference(not_proxy_clausification,[],[f182])).
% 3.51/0.86 thf(f182,plain,(
% 3.51/0.86 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK7 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((reli @ Y2 @ Y3) => (sK0 @ Y3))))))))))))))))),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f179])).
% 3.51/0.86 thf(f305,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = (reli @ sK11 @ X0)) | ($true = (sK1 @ X0))) )),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f304])).
% 3.51/0.86 thf(f304,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = $true) | ($false = (reli @ sK11 @ X0)) | ($true = (sK1 @ X0))) )),
% 3.51/0.86 inference(forward_demodulation,[],[f303,f222])).
% 3.51/0.86 thf(f303,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($true = (sK1 @ X0)) | ($false = (reli @ sK9 @ sK10)) | ($false = (reli @ sK11 @ X0))) )),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f294])).
% 3.51/0.86 thf(f294,plain,(
% 3.51/0.86 ( ! [X0 : $i] : (($false = $true) | ($false = (reli @ sK11 @ X0)) | ($true = (sK1 @ X0)) | ($false = (reli @ sK9 @ sK10))) )),
% 3.51/0.86 inference(superposition,[],[f218,f226])).
% 3.51/0.86 thf(f218,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ sK9 @ X1)) | ($false = (reli @ X2 @ X3)) | ($true = (sK1 @ X3))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f217])).
% 3.51/0.86 thf(f217,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((reli @ X2 @ X3) => (sK1 @ X3))) | ($false = (reli @ sK9 @ X1)) | ($false = (relr @ X1 @ X2))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f216])).
% 3.51/0.86 thf(f216,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((reli @ X2 @ Y0) => (sK1 @ Y0))) @ X3)) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ sK9 @ X1))) )),
% 3.51/0.86 inference(pi_clausification,[],[f215])).
% 3.51/0.86 thf(f215,plain,(
% 3.51/0.86 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (sK1 @ Y0))))) | ($false = (reli @ sK9 @ X1)) | ($false = (relr @ X1 @ X2))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f214])).
% 3.51/0.86 thf(f214,plain,(
% 3.51/0.86 ( ! [X2 : $i,X1 : $i] : (($true = ((relr @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((reli @ X2 @ Y0) => (sK1 @ Y0)))))) | ($false = (reli @ sK9 @ X1))) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f213])).
% 3.51/0.86 thf(f213,plain,(
% 3.51/0.86 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK1 @ Y1)))))) @ X2)) | ($false = (reli @ sK9 @ X1))) )),
% 3.51/0.86 inference(pi_clausification,[],[f212])).
% 3.51/0.86 thf(f212,plain,(
% 3.51/0.86 ( ! [X1 : $i] : (($false = (reli @ sK9 @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK1 @ Y1))))))) = $true)) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f211])).
% 3.51/0.86 thf(f211,plain,(
% 3.51/0.86 ( ! [X1 : $i] : ((((reli @ sK9 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((relr @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => (sK1 @ Y1)))))))) = $true)) )),
% 3.51/0.86 inference(beta_eta_normalization,[],[f210])).
% 3.51/0.86 thf(f210,plain,(
% 3.51/0.86 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK1 @ Y2))))))))) @ X1))) )),
% 3.51/0.86 inference(pi_clausification,[],[f209])).
% 3.51/0.86 thf(f209,plain,(
% 3.51/0.86 ($true = (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK1 @ Y2)))))))))))),
% 3.51/0.86 inference(not_proxy_clausification,[],[f208])).
% 3.51/0.86 thf(f208,plain,(
% 3.51/0.86 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((reli @ sK9 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((relr @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK1 @ Y2))))))))))))),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f205])).
% 3.51/0.86 thf(f384,plain,(
% 3.51/0.86 spl2_1 | spl2_2),
% 3.51/0.86 inference(avatar_split_clause,[],[f374,f381,f377])).
% 3.51/0.86 thf(f374,plain,(
% 3.51/0.86 ( ! [X0 : $i,X1 : $i] : (($false = (reli @ X0 @ X1)) | ($false = (sK1 @ (sK8 @ X0))) | ($false = (reli @ sK7 @ sK10)) | ((sK0 @ X1) = $true) | ($false = (reli @ sK11 @ X0))) )),
% 3.51/0.86 inference(trivial_inequality_removal,[],[f363])).
% 3.51/0.86 thf(f363,plain,(
% 3.51/0.86 ( ! [X0 : $i,X1 : $i] : (($false = (reli @ sK7 @ sK10)) | ($false = (reli @ sK11 @ X0)) | ($false = $true) | ($false = (sK1 @ (sK8 @ X0))) | ($false = (reli @ X0 @ X1)) | ((sK0 @ X1) = $true)) )),
% 3.51/0.86 inference(superposition,[],[f202,f226])).
% 3.51/0.86 thf(f202,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (relr @ X1 @ X2)) | ($false = (reli @ X2 @ X3)) | ($false = (sK1 @ (sK8 @ X3))) | ($false = (reli @ sK7 @ X1)) | ($false = (reli @ X3 @ X4)) | ((sK0 @ X4) = $true)) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f199])).
% 3.51/0.86 thf(f199,plain,(
% 3.51/0.86 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (sK1 @ (sK8 @ X3))) | ($false = (relr @ X1 @ X2)) | ($false = (reli @ X2 @ X3)) | ($false = (reli @ sK7 @ X1)) | ($true = ((reli @ X3 @ X4) => (sK0 @ X4)))) )),
% 3.51/0.86 inference(binary_proxy_clausification,[],[f198])).
% 3.51/0.86 % SZS output end Proof for theBenchmark
% 3.51/0.86 % (8538)------------------------------
% 3.51/0.86 % (8538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.51/0.86 % (8538)Termination reason: Refutation
% 3.51/0.86
% 3.51/0.86 % (8538)Memory used [KB]: 7164
% 3.51/0.86 % (8538)Time elapsed: 0.371 s
% 3.51/0.86 % (8538)Instructions burned: 707 (million)
% 3.51/0.86 % (8538)------------------------------
% 3.51/0.86 % (8538)------------------------------
% 3.51/0.86 % (8508)Success in time 0.474 s
% 3.51/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------