TSTP Solution File: SWV426^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV426^2 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 06:01:10 EDT 2024
% Result : Theorem 0.22s 0.58s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV426^2 : TPTP v8.2.0. Released v3.6.0.
% 0.07/0.14 % 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
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 08:07:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % (12742)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (12742)Instruction limit reached!
% 0.15/0.38 % (12742)------------------------------
% 0.15/0.38 % (12742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (12742)Termination reason: Unknown
% 0.15/0.38 % (12742)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (12742)Memory used [KB]: 1023
% 0.15/0.38 % (12742)Time elapsed: 0.003 s
% 0.15/0.38 % (12742)Instructions burned: 3 (million)
% 0.15/0.38 % (12742)------------------------------
% 0.15/0.38 % (12742)------------------------------
% 0.15/0.38 % (12739)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.38 % (12738)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38 % (12740)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.38 % (12741)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (12743)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.38 % (12745)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.38 % (12744)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38 % (12741)Instruction limit reached!
% 0.15/0.38 % (12741)------------------------------
% 0.15/0.38 % (12741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (12741)Termination reason: Unknown
% 0.15/0.38 % (12741)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (12741)Memory used [KB]: 1023
% 0.15/0.38 % (12741)Time elapsed: 0.003 s
% 0.15/0.38 % (12741)Instructions burned: 2 (million)
% 0.15/0.38 % (12741)------------------------------
% 0.15/0.38 % (12741)------------------------------
% 0.15/0.38 % (12745)Instruction limit reached!
% 0.15/0.38 % (12745)------------------------------
% 0.15/0.38 % (12745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (12745)Termination reason: Unknown
% 0.15/0.38 % (12745)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (12745)Memory used [KB]: 1023
% 0.15/0.38 % (12745)Time elapsed: 0.004 s
% 0.15/0.38 % (12745)Instructions burned: 3 (million)
% 0.15/0.38 % (12745)------------------------------
% 0.15/0.38 % (12745)------------------------------
% 0.15/0.38 % (12739)Instruction limit reached!
% 0.15/0.38 % (12739)------------------------------
% 0.15/0.38 % (12739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (12739)Termination reason: Unknown
% 0.15/0.38 % (12739)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (12739)Memory used [KB]: 1023
% 0.15/0.38 % (12739)Time elapsed: 0.005 s
% 0.15/0.38 % (12739)Instructions burned: 5 (million)
% 0.15/0.38 % (12739)------------------------------
% 0.15/0.38 % (12739)------------------------------
% 0.15/0.38 % (12743)Refutation not found, incomplete strategy
% 0.15/0.38 % (12743)------------------------------
% 0.15/0.38 % (12743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (12743)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (12743)Memory used [KB]: 5500
% 0.15/0.38 % (12743)Time elapsed: 0.006 s
% 0.15/0.38 % (12743)Instructions burned: 6 (million)
% 0.15/0.38 % (12743)------------------------------
% 0.15/0.38 % (12743)------------------------------
% 0.15/0.39 % (12744)Instruction limit reached!
% 0.15/0.39 % (12744)------------------------------
% 0.15/0.39 % (12744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (12744)Termination reason: Unknown
% 0.15/0.39 % (12744)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (12744)Memory used [KB]: 5628
% 0.15/0.39 % (12744)Time elapsed: 0.012 s
% 0.15/0.39 % (12744)Instructions burned: 18 (million)
% 0.15/0.39 % (12744)------------------------------
% 0.15/0.39 % (12744)------------------------------
% 0.15/0.39 % (12746)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.40 % (12747)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.40 % (12740)Instruction limit reached!
% 0.15/0.40 % (12740)------------------------------
% 0.15/0.40 % (12740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (12740)Termination reason: Unknown
% 0.15/0.40 % (12740)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (12740)Memory used [KB]: 5756
% 0.15/0.40 % (12740)Time elapsed: 0.019 s
% 0.15/0.40 % (12740)Instructions burned: 28 (million)
% 0.15/0.40 % (12740)------------------------------
% 0.15/0.40 % (12740)------------------------------
% 0.15/0.40 % (12748)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40 % (12749)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.15/0.40 % (12748)Instruction limit reached!
% 0.15/0.40 % (12748)------------------------------
% 0.15/0.40 % (12748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (12748)Termination reason: Unknown
% 0.15/0.40 % (12748)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (12748)Memory used [KB]: 1023
% 0.15/0.40 % (12748)Time elapsed: 0.004 s
% 0.15/0.40 % (12748)Instructions burned: 4 (million)
% 0.15/0.40 % (12748)------------------------------
% 0.15/0.40 % (12748)------------------------------
% 0.22/0.40 % (12750)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.40 % (12747)Instruction limit reached!
% 0.22/0.40 % (12747)------------------------------
% 0.22/0.40 % (12747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (12747)Termination reason: Unknown
% 0.22/0.40 % (12747)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (12747)Memory used [KB]: 5628
% 0.22/0.40 % (12747)Time elapsed: 0.010 s
% 0.22/0.40 % (12747)Instructions burned: 15 (million)
% 0.22/0.40 % (12747)------------------------------
% 0.22/0.40 % (12747)------------------------------
% 0.22/0.40 % (12750)Instruction limit reached!
% 0.22/0.40 % (12750)------------------------------
% 0.22/0.40 % (12750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (12750)Termination reason: Unknown
% 0.22/0.40 % (12750)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (12750)Memory used [KB]: 1023
% 0.22/0.40 % (12750)Time elapsed: 0.006 s
% 0.22/0.40 % (12750)Instructions burned: 7 (million)
% 0.22/0.40 % (12750)------------------------------
% 0.22/0.40 % (12750)------------------------------
% 0.22/0.40 % (12751)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.41 % (12746)Instruction limit reached!
% 0.22/0.41 % (12746)------------------------------
% 0.22/0.41 % (12746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (12746)Termination reason: Unknown
% 0.22/0.41 % (12746)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (12746)Memory used [KB]: 5884
% 0.22/0.41 % (12746)Time elapsed: 0.018 s
% 0.22/0.41 % (12746)Instructions burned: 37 (million)
% 0.22/0.41 % (12746)------------------------------
% 0.22/0.41 % (12746)------------------------------
% 0.22/0.41 % (12752)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)
% 0.22/0.41 % (12753)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)
% 0.22/0.41 % (12752)Instruction limit reached!
% 0.22/0.41 % (12752)------------------------------
% 0.22/0.41 % (12752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (12752)Termination reason: Unknown
% 0.22/0.41 % (12752)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (12752)Memory used [KB]: 1023
% 0.22/0.41 % (12752)Time elapsed: 0.005 s
% 0.22/0.41 % (12752)Instructions burned: 3 (million)
% 0.22/0.41 % (12752)------------------------------
% 0.22/0.41 % (12752)------------------------------
% 0.22/0.41 % (12751)Instruction limit reached!
% 0.22/0.41 % (12751)------------------------------
% 0.22/0.41 % (12751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (12751)Termination reason: Unknown
% 0.22/0.41 % (12751)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (12751)Memory used [KB]: 5628
% 0.22/0.41 % (12751)Time elapsed: 0.012 s
% 0.22/0.41 % (12751)Instructions burned: 17 (million)
% 0.22/0.41 % (12751)------------------------------
% 0.22/0.41 % (12751)------------------------------
% 0.22/0.42 % (12753)Instruction limit reached!
% 0.22/0.42 % (12753)------------------------------
% 0.22/0.42 % (12753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (12753)Termination reason: Unknown
% 0.22/0.42 % (12753)Termination phase: Unused predicate definition removal
% 0.22/0.42
% 0.22/0.42 % (12753)Memory used [KB]: 1023
% 0.22/0.42 % (12753)Time elapsed: 0.004 s
% 0.22/0.42 % (12753)Instructions burned: 4 (million)
% 0.22/0.42 % (12753)------------------------------
% 0.22/0.42 % (12753)------------------------------
% 0.22/0.42 % (12755)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)
% 0.22/0.42 % (12754)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)
% 0.22/0.42 % (12756)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.42 % (12755)Instruction limit reached!
% 0.22/0.42 % (12755)------------------------------
% 0.22/0.42 % (12755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (12755)Termination reason: Unknown
% 0.22/0.42 % (12755)Termination phase: Preprocessing 1
% 0.22/0.42
% 0.22/0.42 % (12755)Memory used [KB]: 1023
% 0.22/0.42 % (12755)Time elapsed: 0.003 s
% 0.22/0.42 % (12755)Instructions burned: 3 (million)
% 0.22/0.42 % (12755)------------------------------
% 0.22/0.42 % (12755)------------------------------
% 0.22/0.42 % (12756)Instruction limit reached!
% 0.22/0.42 % (12756)------------------------------
% 0.22/0.42 % (12756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (12756)Termination reason: Unknown
% 0.22/0.42 % (12756)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (12756)Memory used [KB]: 1023
% 0.22/0.42 % (12756)Time elapsed: 0.003 s
% 0.22/0.42 % (12756)Instructions burned: 4 (million)
% 0.22/0.42 % (12756)------------------------------
% 0.22/0.42 % (12756)------------------------------
% 0.22/0.42 % (12754)Instruction limit reached!
% 0.22/0.42 % (12754)------------------------------
% 0.22/0.42 % (12754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (12754)Termination reason: Unknown
% 0.22/0.42 % (12754)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (12754)Memory used [KB]: 5500
% 0.22/0.42 % (12754)Time elapsed: 0.006 s
% 0.22/0.42 % (12754)Instructions burned: 7 (million)
% 0.22/0.42 % (12754)------------------------------
% 0.22/0.42 % (12754)------------------------------
% 0.22/0.43 % (12759)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)
% 0.22/0.43 % (12761)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.43 % (12761)Instruction limit reached!
% 0.22/0.43 % (12761)------------------------------
% 0.22/0.43 % (12761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (12761)Termination reason: Unknown
% 0.22/0.43 % (12761)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (12761)Memory used [KB]: 1023
% 0.22/0.43 % (12761)Time elapsed: 0.005 s
% 0.22/0.43 % (12761)Instructions burned: 6 (million)
% 0.22/0.43 % (12763)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)
% 0.22/0.43 % (12761)------------------------------
% 0.22/0.43 % (12761)------------------------------
% 0.22/0.44 % (12762)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)
% 0.22/0.44 % (12764)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.44 % (12762)Refutation not found, incomplete strategy
% 0.22/0.44 % (12762)------------------------------
% 0.22/0.44 % (12762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (12762)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 % (12762)Memory used [KB]: 5500
% 0.22/0.44 % (12762)Time elapsed: 0.005 s
% 0.22/0.44 % (12762)Instructions burned: 5 (million)
% 0.22/0.44 % (12762)------------------------------
% 0.22/0.44 % (12762)------------------------------
% 0.22/0.44 % (12760)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.44 % (12764)Instruction limit reached!
% 0.22/0.44 % (12764)------------------------------
% 0.22/0.44 % (12764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (12764)Termination reason: Unknown
% 0.22/0.44 % (12764)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (12764)Memory used [KB]: 1023
% 0.22/0.44 % (12764)Time elapsed: 0.005 s
% 0.22/0.44 % (12764)Instructions burned: 6 (million)
% 0.22/0.44 % (12764)------------------------------
% 0.22/0.44 % (12764)------------------------------
% 0.22/0.44 % (12759)Instruction limit reached!
% 0.22/0.44 % (12759)------------------------------
% 0.22/0.44 % (12759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (12759)Termination reason: Unknown
% 0.22/0.44 % (12759)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (12759)Memory used [KB]: 5628
% 0.22/0.44 % (12759)Time elapsed: 0.014 s
% 0.22/0.44 % (12759)Instructions burned: 18 (million)
% 0.22/0.44 % (12759)------------------------------
% 0.22/0.44 % (12759)------------------------------
% 0.22/0.44 % (12763)Instruction limit reached!
% 0.22/0.44 % (12763)------------------------------
% 0.22/0.44 % (12763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (12763)Termination reason: Unknown
% 0.22/0.44 % (12763)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (12763)Memory used [KB]: 5628
% 0.22/0.44 % (12763)Time elapsed: 0.012 s
% 0.22/0.44 % (12763)Instructions burned: 21 (million)
% 0.22/0.44 % (12763)------------------------------
% 0.22/0.44 % (12763)------------------------------
% 0.22/0.45 % (12765)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)
% 0.22/0.45 % (12765)Instruction limit reached!
% 0.22/0.45 % (12765)------------------------------
% 0.22/0.45 % (12765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (12765)Termination reason: Unknown
% 0.22/0.45 % (12765)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (12765)Memory used [KB]: 5500
% 0.22/0.45 % (12765)Time elapsed: 0.006 s
% 0.22/0.45 % (12765)Instructions burned: 7 (million)
% 0.22/0.45 % (12765)------------------------------
% 0.22/0.45 % (12765)------------------------------
% 0.22/0.45 % (12766)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.46 % (12767)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)
% 0.22/0.46 % (12768)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)
% 0.22/0.46 % (12769)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)
% 0.22/0.46 % (12768)Refutation not found, incomplete strategy
% 0.22/0.46 % (12768)------------------------------
% 0.22/0.46 % (12768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (12768)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % (12768)Memory used [KB]: 5500
% 0.22/0.46 % (12768)Time elapsed: 0.006 s
% 0.22/0.46 % (12768)Instructions burned: 7 (million)
% 0.22/0.46 % (12768)------------------------------
% 0.22/0.46 % (12768)------------------------------
% 0.22/0.47 % (12770)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.47 % (12770)Instruction limit reached!
% 0.22/0.47 % (12770)------------------------------
% 0.22/0.47 % (12770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (12770)Termination reason: Unknown
% 0.22/0.47 % (12770)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (12770)Memory used [KB]: 5756
% 0.22/0.47 % (12770)Time elapsed: 0.009 s
% 0.22/0.47 % (12770)Instructions burned: 18 (million)
% 0.22/0.47 % (12770)------------------------------
% 0.22/0.47 % (12770)------------------------------
% 0.22/0.48 % (12771)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.48 % (12771)Instruction limit reached!
% 0.22/0.48 % (12771)------------------------------
% 0.22/0.48 % (12771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (12771)Termination reason: Unknown
% 0.22/0.48 % (12771)Termination phase: Property scanning
% 0.22/0.48
% 0.22/0.48 % (12771)Memory used [KB]: 1023
% 0.22/0.48 % (12771)Time elapsed: 0.004 s
% 0.22/0.48 % (12771)Instructions burned: 3 (million)
% 0.22/0.48 % (12771)------------------------------
% 0.22/0.48 % (12771)------------------------------
% 0.22/0.48 % (12772)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.49 % (12738)Instruction limit reached!
% 0.22/0.49 % (12738)------------------------------
% 0.22/0.49 % (12738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (12738)Termination reason: Unknown
% 0.22/0.49 % (12738)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (12738)Memory used [KB]: 6908
% 0.22/0.49 % (12738)Time elapsed: 0.110 s
% 0.22/0.49 % (12738)Instructions burned: 183 (million)
% 0.22/0.49 % (12738)------------------------------
% 0.22/0.49 % (12738)------------------------------
% 0.22/0.49 % (12773)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)
% 0.22/0.49 % (12772)Instruction limit reached!
% 0.22/0.49 % (12772)------------------------------
% 0.22/0.49 % (12772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (12772)Termination reason: Unknown
% 0.22/0.49 % (12772)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (12772)Memory used [KB]: 5628
% 0.22/0.49 % (12772)Time elapsed: 0.010 s
% 0.22/0.49 % (12772)Instructions burned: 30 (million)
% 0.22/0.49 % (12772)------------------------------
% 0.22/0.49 % (12772)------------------------------
% 0.22/0.50 % (12774)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)
% 0.22/0.50 % (12775)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)
% 0.22/0.50 % (12775)Instruction limit reached!
% 0.22/0.50 % (12775)------------------------------
% 0.22/0.50 % (12775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (12775)Termination reason: Unknown
% 0.22/0.50 % (12775)Termination phase: Property scanning
% 0.22/0.50
% 0.22/0.50 % (12775)Memory used [KB]: 1023
% 0.22/0.50 % (12775)Time elapsed: 0.002 s
% 0.22/0.50 % (12775)Instructions burned: 3 (million)
% 0.22/0.50 % (12775)------------------------------
% 0.22/0.50 % (12775)------------------------------
% 0.22/0.51 % (12776)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)
% 0.22/0.51 % (12776)Refutation not found, incomplete strategy
% 0.22/0.51 % (12776)------------------------------
% 0.22/0.51 % (12776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (12776)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.51
% 0.22/0.51
% 0.22/0.51 % (12776)Memory used [KB]: 5628
% 0.22/0.51 % (12776)Time elapsed: 0.004 s
% 0.22/0.51 % (12776)Instructions burned: 8 (million)
% 0.22/0.51 % (12776)------------------------------
% 0.22/0.51 % (12776)------------------------------
% 0.22/0.52 % (12777)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)
% 0.22/0.53 % (12773)Instruction limit reached!
% 0.22/0.53 % (12773)------------------------------
% 0.22/0.53 % (12773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (12773)Termination reason: Unknown
% 0.22/0.53 % (12773)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (12773)Memory used [KB]: 6396
% 0.22/0.53 % (12773)Time elapsed: 0.046 s
% 0.22/0.53 % (12773)Instructions burned: 127 (million)
% 0.22/0.53 % (12773)------------------------------
% 0.22/0.53 % (12773)------------------------------
% 0.22/0.54 % (12774)Instruction limit reached!
% 0.22/0.54 % (12774)------------------------------
% 0.22/0.54 % (12774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (12774)Termination reason: Unknown
% 0.22/0.54 % (12774)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (12774)Memory used [KB]: 5884
% 0.22/0.54 % (12774)Time elapsed: 0.036 s
% 0.22/0.54 % (12774)Instructions burned: 102 (million)
% 0.22/0.54 % (12774)------------------------------
% 0.22/0.54 % (12774)------------------------------
% 0.22/0.54 % (12778)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)
% 0.22/0.54 % (12779)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)
% 0.22/0.55 % (12778)Refutation not found, incomplete strategy
% 0.22/0.55 % (12778)------------------------------
% 0.22/0.55 % (12778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (12778)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55
% 0.22/0.55
% 0.22/0.55 % (12778)Memory used [KB]: 5628
% 0.22/0.55 % (12778)Time elapsed: 0.004 s
% 0.22/0.55 % (12778)Instructions burned: 9 (million)
% 0.22/0.55 % (12778)------------------------------
% 0.22/0.55 % (12778)------------------------------
% 0.22/0.56 % (12777)Instruction limit reached!
% 0.22/0.56 % (12777)------------------------------
% 0.22/0.56 % (12777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.56 % (12777)Termination reason: Unknown
% 0.22/0.56 % (12777)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (12777)Memory used [KB]: 6140
% 0.22/0.56 % (12777)Time elapsed: 0.035 s
% 0.22/0.56 % (12777)Instructions burned: 87 (million)
% 0.22/0.56 % (12777)------------------------------
% 0.22/0.56 % (12777)------------------------------
% 0.22/0.56 % (12779)Instruction limit reached!
% 0.22/0.56 % (12779)------------------------------
% 0.22/0.56 % (12779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.56 % (12779)Termination reason: Unknown
% 0.22/0.56 % (12779)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (12779)Memory used [KB]: 6012
% 0.22/0.56 % (12779)Time elapsed: 0.019 s
% 0.22/0.56 % (12779)Instructions burned: 39 (million)
% 0.22/0.56 % (12779)------------------------------
% 0.22/0.56 % (12779)------------------------------
% 0.22/0.56 % (12787)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)
% 0.22/0.57 % (12787)Refutation not found, incomplete strategy
% 0.22/0.57 % (12787)------------------------------
% 0.22/0.57 % (12787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.57 % (12787)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.57
% 0.22/0.57
% 0.22/0.57 % (12787)Memory used [KB]: 5628
% 0.22/0.57 % (12787)Time elapsed: 0.006 s
% 0.22/0.57 % (12787)Instructions burned: 7 (million)
% 0.22/0.57 % (12787)------------------------------
% 0.22/0.57 % (12787)------------------------------
% 0.22/0.57 % (12769)First to succeed.
% 0.22/0.57 % (12788)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)
% 0.22/0.58 % (12769)Refutation found. Thanks to Tanya!
% 0.22/0.58 % SZS status Theorem for theBenchmark
% 0.22/0.58 % SZS output start Proof for theBenchmark
% 0.22/0.58 thf(type_def_6, type, individuals: $tType).
% 0.22/0.58 thf(func_def_1, type, prop_a: $i > $o).
% 0.22/0.58 thf(func_def_2, type, prop_b: $i > $o).
% 0.22/0.58 thf(func_def_3, type, prop_c: $i > $o).
% 0.22/0.58 thf(func_def_4, type, mfalse: $i > $o).
% 0.22/0.58 thf(func_def_5, type, mtrue: $i > $o).
% 0.22/0.58 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_14, type, individuals: $tType).
% 0.22/0.58 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.22/0.58 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.58 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.58 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.22/0.58 thf(func_def_21, type, rel: $i > $i > $o).
% 0.22/0.58 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_27, type, icl_true: $i > $o).
% 0.22/0.58 thf(func_def_28, type, icl_false: $i > $o).
% 0.22/0.58 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.58 thf(func_def_30, type, iclval: ($i > $o) > $o).
% 0.22/0.58 thf(func_def_31, type, s: $i > $o).
% 0.22/0.58 thf(func_def_32, type, t: $i > $o).
% 0.22/0.58 thf(func_def_33, type, a: $i > $o).
% 0.22/0.58 thf(func_def_53, type, sK6: $i > $i).
% 0.22/0.58 thf(func_def_54, type, sK7: $i > ($i > $o) > $i).
% 0.22/0.58 thf(func_def_55, type, sK8: $i > ($i > $o) > $i).
% 0.22/0.58 thf(func_def_56, type, ph9: !>[X0: $tType]:(X0)).
% 0.22/0.58 thf(f1223,plain,(
% 0.22/0.58 $false),
% 0.22/0.58 inference(avatar_sat_refutation,[],[f479,f531,f696,f730,f796,f933,f1214])).
% 0.22/0.58 thf(f1214,plain,(
% 0.22/0.58 spl0_5 | ~spl0_26),
% 0.22/0.58 inference(avatar_contradiction_clause,[],[f1213])).
% 0.22/0.58 thf(f1213,plain,(
% 0.22/0.58 $false | (spl0_5 | ~spl0_26)),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f1205])).
% 0.22/0.58 thf(f1205,plain,(
% 0.22/0.58 ($true = $false) | (spl0_5 | ~spl0_26)),
% 0.22/0.58 inference(superposition,[],[f203,f1154])).
% 0.22/0.58 thf(f1154,plain,(
% 0.22/0.58 ((rel @ sK4 @ sK4) = $false) | (spl0_5 | ~spl0_26)),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f1153])).
% 0.22/0.58 thf(f1153,plain,(
% 0.22/0.58 ($true = $false) | ((rel @ sK4 @ sK4) = $false) | (spl0_5 | ~spl0_26)),
% 0.22/0.58 inference(forward_demodulation,[],[f1146,f137])).
% 0.22/0.58 thf(f137,plain,(
% 0.22/0.58 ((a @ sK4) = $false)),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f135])).
% 0.22/0.58 thf(f135,plain,(
% 0.22/0.58 (((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (t @ Y0)))) | (a @ sK4)) = $false)),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f134])).
% 0.22/0.58 thf(f134,plain,(
% 0.22/0.58 (((rel @ sK3 @ sK4) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (t @ Y0)))) | (a @ sK4))) = $false)),
% 0.22/0.58 inference(beta_eta_normalization,[],[f133])).
% 0.22/0.58 thf(f133,plain,(
% 0.22/0.58 (((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))) | (a @ Y0)))) @ sK4) = $false)),
% 0.22/0.58 inference(sigma_clausification,[],[f132])).
% 0.22/0.58 thf(f132,plain,(
% 0.22/0.58 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))) | (a @ Y0))))))),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f129])).
% 0.22/0.58 thf(f129,plain,(
% 0.22/0.58 (((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))) | (a @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))))) = $false)),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f128])).
% 0.22/0.58 thf(f128,plain,(
% 0.22/0.58 (((rel @ sK2 @ sK3) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))) | (a @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))))))) = $false)),
% 0.22/0.58 inference(beta_eta_normalization,[],[f127])).
% 0.22/0.58 thf(f127,plain,(
% 0.22/0.58 (((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))) | (a @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))))))) @ sK3) = $false)),
% 0.22/0.58 inference(sigma_clausification,[],[f126])).
% 0.22/0.58 thf(f126,plain,(
% 0.22/0.58 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))) | (a @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1)))))))))) = $false)),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f123])).
% 0.22/0.58 thf(f123,plain,(
% 0.22/0.58 (((!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))) | (a @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1)))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (a @ Y0))))))) = $false)),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f122])).
% 0.22/0.58 thf(f122,plain,(
% 0.22/0.58 (((rel @ sK1 @ sK2) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))) | (a @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1)))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (a @ Y0)))))))) = $false)),
% 0.22/0.58 inference(beta_eta_normalization,[],[f121])).
% 0.22/0.58 thf(f121,plain,(
% 0.22/0.58 (((^[Y0 : $i]: ((rel @ sK1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (t @ Y3)))) | (a @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (t @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))) | (a @ Y1))))))))) @ sK2) = $false)),
% 0.22/0.58 inference(sigma_clausification,[],[f120])).
% 0.22/0.58 thf(f120,plain,(
% 0.22/0.58 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (t @ Y3)))) | (a @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (t @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))) | (a @ Y1)))))))))) = $false)),
% 0.22/0.58 inference(beta_eta_normalization,[],[f119])).
% 0.22/0.58 thf(f119,plain,(
% 0.22/0.58 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (t @ Y4)))) | (a @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))) | (a @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (t @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))) | (a @ Y2))))))))))) @ sK1) = $false)),
% 0.22/0.58 inference(sigma_clausification,[],[f118])).
% 0.22/0.58 thf(f118,plain,(
% 0.22/0.58 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (t @ Y4)))) | (a @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))) | (a @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (t @ Y4)))) | (~ (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))) | (a @ Y2)))))))))))) != $true)),
% 0.22/0.58 inference(beta_eta_normalization,[],[f116])).
% 0.22/0.58 thf(f116,plain,(
% 0.22/0.58 ($true != ((^[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))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ 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))))))))) @ rel @ Y0)) @ s) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ t))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ t))))))),
% 0.22/0.58 inference(definition_unfolding,[],[f88,f114,f110,f113,f99,f110,f107,f107,f110,f113,f99,f107,f113,f99,f107])).
% 0.22/0.58 thf(f107,plain,(
% 0.22/0.58 (icl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)))),
% 0.22/0.58 inference(definition_unfolding,[],[f98,f83])).
% 0.22/0.58 thf(f83,plain,(
% 0.22/0.58 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.22/0.58 inference(cnf_transformation,[],[f31])).
% 0.22/0.58 thf(f31,plain,(
% 0.22/0.58 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.22/0.58 inference(fool_elimination,[],[f30])).
% 0.22/0.58 thf(f30,plain,(
% 0.22/0.58 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.22/0.58 inference(rectify,[],[f8])).
% 0.22/0.58 thf(f8,axiom,(
% 0.22/0.58 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.22/0.58 thf(f98,plain,(
% 0.22/0.58 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.22/0.58 inference(cnf_transformation,[],[f47])).
% 0.22/0.58 thf(f47,plain,(
% 0.22/0.58 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.22/0.58 inference(fool_elimination,[],[f46])).
% 0.22/0.58 thf(f46,plain,(
% 0.22/0.58 (icl_atom = (^[X0 : $i > $o] : (mbox @ rel @ X0)))),
% 0.22/0.58 inference(rectify,[],[f16])).
% 0.22/0.58 thf(f16,axiom,(
% 0.22/0.58 (icl_atom = (^[X5 : $i > $o] : (mbox @ rel @ X5)))),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_atom)).
% 0.22/0.58 thf(f99,plain,(
% 0.22/0.58 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.22/0.58 inference(cnf_transformation,[],[f45])).
% 0.22/0.58 thf(f45,plain,(
% 0.22/0.58 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.22/0.58 inference(fool_elimination,[],[f44])).
% 0.22/0.58 thf(f44,plain,(
% 0.22/0.58 ((^[X0 : $i > $o] : (X0)) = icl_princ)),
% 0.22/0.58 inference(rectify,[],[f17])).
% 0.22/0.58 thf(f17,axiom,(
% 0.22/0.58 ((^[X5 : $i > $o] : (X5)) = icl_princ)),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_princ)).
% 0.22/0.58 thf(f113,plain,(
% 0.22/0.58 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))))),
% 0.22/0.58 inference(definition_unfolding,[],[f92,f83,f90])).
% 0.22/0.58 thf(f90,plain,(
% 0.22/0.58 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.22/0.58 inference(cnf_transformation,[],[f65])).
% 0.22/0.58 thf(f65,plain,(
% 0.22/0.58 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.22/0.58 inference(fool_elimination,[],[f64])).
% 0.22/0.58 thf(f64,plain,(
% 0.22/0.58 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.22/0.58 inference(rectify,[],[f4])).
% 0.22/0.58 thf(f4,axiom,(
% 0.22/0.58 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))) = mor)),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.22/0.58 thf(f92,plain,(
% 0.22/0.58 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.22/0.58 inference(cnf_transformation,[],[f61])).
% 0.22/0.58 thf(f61,plain,(
% 0.22/0.58 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.22/0.58 inference(fool_elimination,[],[f60])).
% 0.22/0.58 thf(f60,plain,(
% 0.22/0.58 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))) = icl_says)),
% 0.22/0.58 inference(rectify,[],[f23])).
% 0.22/0.58 thf(f23,axiom,(
% 0.22/0.58 ((^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))) = icl_says)),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_says)).
% 0.22/0.58 thf(f110,plain,(
% 0.22/0.58 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.22/0.58 inference(definition_unfolding,[],[f103,f83,f105])).
% 0.22/0.58 thf(f105,plain,(
% 0.22/0.58 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.22/0.58 inference(definition_unfolding,[],[f93,f90,f84])).
% 0.22/0.58 thf(f84,plain,(
% 0.22/0.58 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.58 inference(cnf_transformation,[],[f42])).
% 0.22/0.58 thf(f42,plain,(
% 0.22/0.58 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.58 inference(fool_elimination,[],[f41])).
% 0.22/0.58 thf(f41,plain,(
% 0.22/0.58 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.22/0.58 inference(rectify,[],[f3])).
% 0.22/0.58 thf(f3,axiom,(
% 0.22/0.58 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.22/0.58 thf(f93,plain,(
% 0.22/0.58 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.58 inference(cnf_transformation,[],[f35])).
% 0.22/0.58 thf(f35,plain,(
% 0.22/0.58 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.58 inference(fool_elimination,[],[f34])).
% 0.22/0.58 thf(f34,plain,(
% 0.22/0.58 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 0.22/0.58 inference(rectify,[],[f6])).
% 0.22/0.58 thf(f6,axiom,(
% 0.22/0.58 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimpl)).
% 0.22/0.58 thf(f103,plain,(
% 0.22/0.58 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.22/0.58 inference(cnf_transformation,[],[f59])).
% 0.22/0.58 thf(f59,plain,(
% 0.22/0.58 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.22/0.58 inference(fool_elimination,[],[f58])).
% 0.22/0.58 thf(f58,plain,(
% 0.22/0.58 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))) = icl_impl)),
% 0.22/0.58 inference(rectify,[],[f20])).
% 0.22/0.58 thf(f20,axiom,(
% 0.22/0.58 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))) = icl_impl)),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_impl)).
% 0.22/0.58 thf(f114,plain,(
% 0.22/0.58 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.22/0.58 inference(definition_unfolding,[],[f95,f81])).
% 0.22/0.58 thf(f81,plain,(
% 0.22/0.58 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.58 inference(cnf_transformation,[],[f67])).
% 0.22/0.58 thf(f67,plain,(
% 0.22/0.58 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.58 inference(fool_elimination,[],[f66])).
% 0.22/0.58 thf(f66,plain,(
% 0.22/0.58 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.22/0.58 inference(rectify,[],[f12])).
% 0.22/0.58 thf(f12,axiom,(
% 0.22/0.58 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.22/0.58 thf(f95,plain,(
% 0.22/0.58 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.22/0.58 inference(cnf_transformation,[],[f43])).
% 0.22/0.58 thf(f43,plain,(
% 0.22/0.58 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.22/0.58 inference(fool_elimination,[],[f24])).
% 0.22/0.58 thf(f24,axiom,(
% 0.22/0.58 (iclval = (^[X0 : $i > $o] : (mvalid @ X0)))),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_s4_valid)).
% 0.22/0.58 thf(f88,plain,(
% 0.22/0.58 ((iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t))))) != $true)),
% 0.22/0.58 inference(cnf_transformation,[],[f77])).
% 0.22/0.58 thf(f77,plain,(
% 0.22/0.58 ((iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t))))) != $true)),
% 0.22/0.58 inference(flattening,[],[f72])).
% 0.22/0.58 thf(f72,plain,(
% 0.22/0.58 ~((iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t))))) = $true)),
% 0.22/0.58 inference(fool_elimination,[],[f71])).
% 0.22/0.58 thf(f71,plain,(
% 0.22/0.58 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t)))))),
% 0.22/0.58 inference(rectify,[],[f28])).
% 0.22/0.58 thf(f28,negated_conjecture,(
% 0.22/0.58 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t)))))),
% 0.22/0.58 inference(negated_conjecture,[],[f27])).
% 0.22/0.58 thf(f27,conjecture,(
% 0.22/0.58 (iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t)))))),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cuc)).
% 0.22/0.58 thf(f1146,plain,(
% 0.22/0.58 ((a @ sK4) = $true) | ((rel @ sK4 @ sK4) = $false) | (spl0_5 | ~spl0_26)),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f1132])).
% 0.22/0.58 thf(f1132,plain,(
% 0.22/0.58 ($false != $false) | ((a @ sK4) = $true) | ((rel @ sK4 @ sK4) = $false) | (spl0_5 | ~spl0_26)),
% 0.22/0.58 inference(superposition,[],[f291,f529])).
% 0.22/0.58 thf(f529,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (((rel @ sK2 @ X0) = $false) | ((rel @ X0 @ sK4) = $false) | ((a @ X0) = $true)) ) | ~spl0_26),
% 0.22/0.58 inference(avatar_component_clause,[],[f528])).
% 0.22/0.58 thf(f528,plain,(
% 0.22/0.58 spl0_26 <=> ! [X0] : (((rel @ X0 @ sK4) = $false) | ((rel @ sK2 @ X0) = $false) | ((a @ X0) = $true))),
% 0.22/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])).
% 0.22/0.58 thf(f291,plain,(
% 0.22/0.58 ((rel @ sK2 @ sK4) != $false) | spl0_5),
% 0.22/0.58 inference(avatar_component_clause,[],[f290])).
% 0.22/0.58 thf(f290,plain,(
% 0.22/0.58 spl0_5 <=> ((rel @ sK2 @ sK4) = $false)),
% 0.22/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.22/0.58 thf(f203,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (($true = (rel @ X0 @ X0))) )),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f202])).
% 0.22/0.58 thf(f202,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (($true = (rel @ X0 @ X0)) | ($true = $false)) )),
% 0.22/0.58 inference(duplicate_literal_removal,[],[f198])).
% 0.22/0.58 thf(f198,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (($true = $false) | ($true = (rel @ X0 @ X0)) | ($true = (rel @ X0 @ X0))) )),
% 0.22/0.58 inference(superposition,[],[f197,f196])).
% 0.22/0.58 thf(f196,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($false = (X0 @ (sK8 @ X1 @ X0))) | ((X0 @ X1) = $true)) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f195])).
% 0.22/0.58 thf(f195,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($false = ((rel @ X1 @ (sK8 @ X1 @ X0)) => (X0 @ (sK8 @ X1 @ X0)))) | ((X0 @ X1) = $true)) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f194])).
% 0.22/0.58 thf(f194,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($false = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))) @ (sK8 @ X1 @ X0))) | ((X0 @ X1) = $true)) )),
% 0.22/0.58 inference(sigma_clausification,[],[f193])).
% 0.22/0.58 thf(f193,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))) = $false)) )),
% 0.22/0.58 inference(not_proxy_clausification,[],[f192])).
% 0.22/0.58 thf(f192,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))))) = $true)) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f191])).
% 0.22/0.58 thf(f191,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((X0 @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))))))) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f190])).
% 0.22/0.58 thf(f190,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((X0 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))) @ X1))) )),
% 0.22/0.58 inference(pi_clausification,[],[f189])).
% 0.22/0.58 thf(f189,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((X0 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1)))))))))) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f117])).
% 0.22/0.58 thf(f117,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ 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))))))))) @ rel @ X0) @ X0)) = $true)) )),
% 0.22/0.58 inference(definition_unfolding,[],[f91,f81,f105,f83])).
% 0.22/0.58 thf(f91,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o] : (($true = (mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0)))) )),
% 0.22/0.58 inference(cnf_transformation,[],[f49])).
% 0.22/0.58 thf(f49,plain,(
% 0.22/0.58 ! [X0 : $i > $o] : ($true = (mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0)))),
% 0.22/0.58 inference(fool_elimination,[],[f48])).
% 0.22/0.58 thf(f48,plain,(
% 0.22/0.58 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0))),
% 0.22/0.58 inference(rectify,[],[f25])).
% 0.22/0.58 thf(f25,axiom,(
% 0.22/0.58 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X7) @ X7))),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom)).
% 0.22/0.58 thf(f197,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($true = (rel @ X1 @ (sK8 @ X1 @ X0))) | ((X0 @ X1) = $true)) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f195])).
% 0.22/0.58 thf(f933,plain,(
% 0.22/0.58 ~spl0_25),
% 0.22/0.58 inference(avatar_contradiction_clause,[],[f932])).
% 0.22/0.58 thf(f932,plain,(
% 0.22/0.58 $false | ~spl0_25),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f931])).
% 0.22/0.58 thf(f931,plain,(
% 0.22/0.58 ($true = $false) | ~spl0_25),
% 0.22/0.58 inference(forward_demodulation,[],[f913,f141])).
% 0.22/0.58 thf(f141,plain,(
% 0.22/0.58 ((t @ sK5) = $false)),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f140])).
% 0.22/0.58 thf(f140,plain,(
% 0.22/0.58 (((rel @ sK4 @ sK5) => (t @ sK5)) = $false)),
% 0.22/0.58 inference(beta_eta_normalization,[],[f139])).
% 0.22/0.58 thf(f139,plain,(
% 0.22/0.58 (((^[Y0 : $i]: ((rel @ sK4 @ Y0) => (t @ Y0))) @ sK5) = $false)),
% 0.22/0.58 inference(sigma_clausification,[],[f138])).
% 0.22/0.58 thf(f138,plain,(
% 0.22/0.58 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (t @ Y0)))) = $false)),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f135])).
% 0.22/0.58 thf(f913,plain,(
% 0.22/0.58 ((t @ sK5) = $true) | ~spl0_25),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f910])).
% 0.22/0.58 thf(f910,plain,(
% 0.22/0.58 ((t @ sK5) = $true) | ($true = $false) | ~spl0_25),
% 0.22/0.58 inference(superposition,[],[f142,f526])).
% 0.22/0.58 thf(f526,plain,(
% 0.22/0.58 ( ! [X1 : $i] : (((rel @ sK4 @ X1) = $false) | ($true = (t @ X1))) ) | ~spl0_25),
% 0.22/0.58 inference(avatar_component_clause,[],[f525])).
% 0.22/0.58 thf(f525,plain,(
% 0.22/0.58 spl0_25 <=> ! [X1] : (((rel @ sK4 @ X1) = $false) | ($true = (t @ X1)))),
% 0.22/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
% 0.22/0.58 thf(f142,plain,(
% 0.22/0.58 ((rel @ sK4 @ sK5) = $true)),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f140])).
% 0.22/0.58 thf(f796,plain,(
% 0.22/0.58 spl0_25 | spl0_5 | ~spl0_24),
% 0.22/0.58 inference(avatar_split_clause,[],[f795,f521,f290,f525])).
% 0.22/0.58 thf(f521,plain,(
% 0.22/0.58 spl0_24 <=> ($true = (s @ (sK6 @ sK4)))),
% 0.22/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 0.22/0.58 thf(f795,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (((rel @ sK4 @ X0) = $false) | ($true = (t @ X0))) ) | (spl0_5 | ~spl0_24)),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f794])).
% 0.22/0.58 thf(f794,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (($true = $false) | ((rel @ sK4 @ X0) = $false) | ($true = (t @ X0))) ) | (spl0_5 | ~spl0_24)),
% 0.22/0.58 inference(forward_demodulation,[],[f793,f137])).
% 0.22/0.58 thf(f793,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (((rel @ sK4 @ X0) = $false) | ($true = (t @ X0)) | ((a @ sK4) = $true)) ) | (spl0_5 | ~spl0_24)),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f792])).
% 0.22/0.58 thf(f792,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (((rel @ sK4 @ X0) = $false) | ($true = (t @ X0)) | ($true = $false) | ((a @ sK4) = $true)) ) | (spl0_5 | ~spl0_24)),
% 0.22/0.58 inference(forward_demodulation,[],[f774,f523])).
% 0.22/0.58 thf(f523,plain,(
% 0.22/0.58 ($true = (s @ (sK6 @ sK4))) | ~spl0_24),
% 0.22/0.58 inference(avatar_component_clause,[],[f521])).
% 0.22/0.58 thf(f774,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (($true = (t @ X0)) | ((rel @ sK4 @ X0) = $false) | ((s @ (sK6 @ sK4)) = $false) | ((a @ sK4) = $true)) ) | spl0_5),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f765])).
% 0.22/0.58 thf(f765,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (($false != $false) | ((s @ (sK6 @ sK4)) = $false) | ($true = (t @ X0)) | ((rel @ sK4 @ X0) = $false) | ((a @ sK4) = $true)) ) | spl0_5),
% 0.22/0.58 inference(superposition,[],[f291,f282])).
% 0.22/0.58 thf(f282,plain,(
% 0.22/0.58 ( ! [X0 : $i,X1 : $i] : (((rel @ sK2 @ X0) = $false) | ((rel @ X0 @ X1) = $false) | ($true = (t @ X1)) | ((a @ X0) = $true) | ((s @ (sK6 @ X0)) = $false)) )),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f255])).
% 0.22/0.58 thf(f255,plain,(
% 0.22/0.58 ( ! [X0 : $i,X1 : $i] : (((rel @ X0 @ X1) = $false) | ((rel @ sK2 @ X0) = $false) | ((a @ X0) = $true) | ($true = $false) | ((s @ (sK6 @ X0)) = $false) | ($true = (t @ X1))) )),
% 0.22/0.58 inference(superposition,[],[f166,f203])).
% 0.22/0.58 thf(f166,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (rel @ X1 @ X2)) | ((s @ (sK6 @ X2)) = $false) | ((rel @ X2 @ X3) = $false) | ((rel @ sK2 @ X1) = $false) | ($true = (a @ X1)) | ((t @ X3) = $true)) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f165])).
% 0.22/0.58 thf(f165,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (rel @ X1 @ X2)) | ((rel @ X2 @ X3) = $false) | (((rel @ X2 @ (sK6 @ X2)) => (s @ (sK6 @ X2))) = $false) | ((rel @ sK2 @ X1) = $false) | ($true = (a @ X1)) | ((t @ X3) = $true)) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f164])).
% 0.22/0.58 thf(f164,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a @ X1)) | ((rel @ sK2 @ X1) = $false) | ($false = (rel @ X1 @ X2)) | ((rel @ X2 @ X3) = $false) | ((t @ X3) = $true) | (((^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0))) @ (sK6 @ X2)) = $false)) )),
% 0.22/0.58 inference(sigma_clausification,[],[f163])).
% 0.22/0.58 thf(f163,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a @ X1)) | ($false = (rel @ X1 @ X2)) | ((rel @ X2 @ X3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0)))) = $false) | ((t @ X3) = $true) | ((rel @ sK2 @ X1) = $false)) )),
% 0.22/0.58 inference(not_proxy_clausification,[],[f162])).
% 0.22/0.58 thf(f162,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((t @ X3) = $true) | ($true = (a @ X1)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0))))) = $true) | ((rel @ X2 @ X3) = $false) | ($false = (rel @ X1 @ X2)) | ((rel @ sK2 @ X1) = $false)) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f161])).
% 0.22/0.58 thf(f161,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((rel @ X2 @ X3) => (t @ X3))) | ($false = (rel @ X1 @ X2)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0))))) = $true) | ((rel @ sK2 @ X1) = $false) | ($true = (a @ X1))) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f160])).
% 0.22/0.58 thf(f160,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a @ X1)) | ($true = ((^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0))) @ X3)) | ((rel @ sK2 @ X1) = $false) | ($false = (rel @ X1 @ X2)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0))))) = $true)) )),
% 0.22/0.58 inference(pi_clausification,[],[f159])).
% 0.22/0.58 thf(f159,plain,(
% 0.22/0.58 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0))))) | ((rel @ sK2 @ X1) = $false) | ($false = (rel @ X1 @ X2)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0))))) = $true) | ($true = (a @ X1))) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f158])).
% 0.22/0.58 thf(f158,plain,(
% 0.22/0.58 ( ! [X2 : $i,X1 : $i] : (($false = (rel @ X1 @ X2)) | (((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0)))))) = $true) | ((rel @ sK2 @ X1) = $false) | ($true = (a @ X1))) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f157])).
% 0.22/0.58 thf(f157,plain,(
% 0.22/0.58 ( ! [X2 : $i,X1 : $i] : (((rel @ sK2 @ X1) = $false) | ($true = (a @ X1)) | ($true = ((rel @ X1 @ X2) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0))))))))) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f156])).
% 0.22/0.58 thf(f156,plain,(
% 0.22/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))) @ X2)) | ((rel @ sK2 @ X1) = $false) | ($true = (a @ X1))) )),
% 0.22/0.58 inference(pi_clausification,[],[f155])).
% 0.22/0.58 thf(f155,plain,(
% 0.22/0.58 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))))) | ((rel @ sK2 @ X1) = $false) | ($true = (a @ X1))) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f154])).
% 0.22/0.58 thf(f154,plain,(
% 0.22/0.58 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | (a @ X1))) | ((rel @ sK2 @ X1) = $false)) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f153])).
% 0.22/0.58 thf(f153,plain,(
% 0.22/0.58 ( ! [X1 : $i] : (($true = ((rel @ sK2 @ X1) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | (a @ X1))))) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f152])).
% 0.22/0.58 thf(f152,plain,(
% 0.22/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (a @ Y0)))) @ X1) = $true)) )),
% 0.22/0.58 inference(pi_clausification,[],[f151])).
% 0.22/0.58 thf(f151,plain,(
% 0.22/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (a @ Y0))))))),
% 0.22/0.58 inference(not_proxy_clausification,[],[f125])).
% 0.22/0.58 thf(f125,plain,(
% 0.22/0.58 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (a @ Y0)))))) = $false)),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f123])).
% 0.22/0.58 thf(f730,plain,(
% 0.22/0.58 ~spl0_23),
% 0.22/0.58 inference(avatar_contradiction_clause,[],[f729])).
% 0.22/0.58 thf(f729,plain,(
% 0.22/0.58 $false | ~spl0_23),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f728])).
% 0.22/0.58 thf(f728,plain,(
% 0.22/0.58 ($true = $false) | ~spl0_23),
% 0.22/0.58 inference(backward_demodulation,[],[f136,f725])).
% 0.22/0.58 thf(f725,plain,(
% 0.22/0.58 ((rel @ sK3 @ sK4) = $false) | ~spl0_23),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f712])).
% 0.22/0.58 thf(f712,plain,(
% 0.22/0.58 ($true = $false) | ((rel @ sK3 @ sK4) = $false) | ~spl0_23),
% 0.22/0.58 inference(superposition,[],[f130,f477])).
% 0.22/0.58 thf(f477,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (((rel @ sK2 @ X0) = $false) | ((rel @ X0 @ sK4) = $false)) ) | ~spl0_23),
% 0.22/0.58 inference(avatar_component_clause,[],[f476])).
% 0.22/0.58 thf(f476,plain,(
% 0.22/0.58 spl0_23 <=> ! [X0] : (((rel @ X0 @ sK4) = $false) | ((rel @ sK2 @ X0) = $false))),
% 0.22/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])).
% 0.22/0.58 thf(f130,plain,(
% 0.22/0.58 ($true = (rel @ sK2 @ sK3))),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f128])).
% 0.22/0.58 thf(f136,plain,(
% 0.22/0.58 ((rel @ sK3 @ sK4) = $true)),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f134])).
% 0.22/0.58 thf(f696,plain,(
% 0.22/0.58 spl0_23 | ~spl0_5 | ~spl0_19),
% 0.22/0.58 inference(avatar_split_clause,[],[f688,f434,f290,f476])).
% 0.22/0.58 thf(f434,plain,(
% 0.22/0.58 spl0_19 <=> ! [X2,X3] : (($true = (rel @ sK2 @ X3)) | ((rel @ sK2 @ X2) = $false) | ((rel @ X2 @ X3) = $false))),
% 0.22/0.58 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])).
% 0.22/0.58 thf(f688,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (((rel @ sK2 @ X0) = $false) | ((rel @ X0 @ sK4) = $false)) ) | (~spl0_5 | ~spl0_19)),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f675])).
% 0.22/0.58 thf(f675,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (($true = $false) | ((rel @ X0 @ sK4) = $false) | ((rel @ sK2 @ X0) = $false)) ) | (~spl0_5 | ~spl0_19)),
% 0.22/0.58 inference(superposition,[],[f435,f292])).
% 0.22/0.58 thf(f292,plain,(
% 0.22/0.58 ((rel @ sK2 @ sK4) = $false) | ~spl0_5),
% 0.22/0.58 inference(avatar_component_clause,[],[f290])).
% 0.22/0.58 thf(f435,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i] : (($true = (rel @ sK2 @ X3)) | ((rel @ X2 @ X3) = $false) | ((rel @ sK2 @ X2) = $false)) ) | ~spl0_19),
% 0.22/0.58 inference(avatar_component_clause,[],[f434])).
% 0.22/0.58 thf(f531,plain,(
% 0.22/0.58 spl0_26 | spl0_25 | spl0_24),
% 0.22/0.58 inference(avatar_split_clause,[],[f515,f521,f525,f528])).
% 0.22/0.58 thf(f515,plain,(
% 0.22/0.58 ( ! [X0 : $i,X1 : $i] : (((rel @ sK2 @ X0) = $false) | ((a @ X0) = $true) | ((rel @ X0 @ sK4) = $false) | ($true = (t @ X1)) | ($true = (s @ (sK6 @ sK4))) | ((rel @ sK4 @ X1) = $false)) )),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f505])).
% 0.22/0.58 thf(f505,plain,(
% 0.22/0.58 ( ! [X0 : $i,X1 : $i] : (((rel @ sK2 @ X0) = $false) | ((rel @ sK4 @ X1) = $false) | ($true = (s @ (sK6 @ sK4))) | ($true = (t @ X1)) | ($true = $false) | ((a @ X0) = $true) | ((rel @ X0 @ sK4) = $false)) )),
% 0.22/0.58 inference(superposition,[],[f167,f236])).
% 0.22/0.58 thf(f236,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (((rel @ sK4 @ X0) = $false) | ((s @ X0) = $true)) )),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f235])).
% 0.22/0.58 thf(f235,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (((s @ X0) = $true) | ($true = $false) | ((rel @ sK4 @ X0) = $false)) )),
% 0.22/0.58 inference(forward_demodulation,[],[f231,f137])).
% 0.22/0.58 thf(f231,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (((rel @ sK4 @ X0) = $false) | ((a @ sK4) = $true) | ((s @ X0) = $true)) )),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f220])).
% 0.22/0.58 thf(f220,plain,(
% 0.22/0.58 ( ! [X0 : $i] : (((rel @ sK4 @ X0) = $false) | ($true = $false) | ((a @ sK4) = $true) | ((s @ X0) = $true)) )),
% 0.22/0.58 inference(superposition,[],[f150,f136])).
% 0.22/0.58 thf(f150,plain,(
% 0.22/0.58 ( ! [X2 : $i,X1 : $i] : (($false = (rel @ sK3 @ X1)) | ($false = (rel @ X1 @ X2)) | ($true = (a @ X1)) | ($true = (s @ X2))) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f149])).
% 0.22/0.58 thf(f149,plain,(
% 0.22/0.58 ( ! [X2 : $i,X1 : $i] : (($false = (rel @ sK3 @ X1)) | (((rel @ X1 @ X2) => (s @ X2)) = $true) | ($true = (a @ X1))) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f148])).
% 0.22/0.58 thf(f148,plain,(
% 0.22/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0))) @ X2)) | ($true = (a @ X1)) | ($false = (rel @ sK3 @ X1))) )),
% 0.22/0.58 inference(pi_clausification,[],[f147])).
% 0.22/0.58 thf(f147,plain,(
% 0.22/0.58 ( ! [X1 : $i] : (($false = (rel @ sK3 @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0))))) | ($true = (a @ X1))) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f146])).
% 0.22/0.58 thf(f146,plain,(
% 0.22/0.58 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))) | (a @ X1))) | ($false = (rel @ sK3 @ X1))) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f145])).
% 0.22/0.58 thf(f145,plain,(
% 0.22/0.58 ( ! [X1 : $i] : (($true = ((rel @ sK3 @ X1) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))) | (a @ X1))))) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f144])).
% 0.22/0.58 thf(f144,plain,(
% 0.22/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))) @ X1) = $true)) )),
% 0.22/0.58 inference(pi_clausification,[],[f143])).
% 0.22/0.58 thf(f143,plain,(
% 0.22/0.58 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) = $true)),
% 0.22/0.58 inference(not_proxy_clausification,[],[f131])).
% 0.22/0.58 thf(f131,plain,(
% 0.22/0.58 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))))) = $false)),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f129])).
% 0.22/0.58 thf(f167,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (rel @ X2 @ (sK6 @ X2))) | ((rel @ sK2 @ X1) = $false) | ($false = (rel @ X1 @ X2)) | ((rel @ X2 @ X3) = $false) | ((t @ X3) = $true) | ($true = (a @ X1))) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f165])).
% 0.22/0.58 thf(f479,plain,(
% 0.22/0.58 spl0_23 | spl0_19 | ~spl0_5),
% 0.22/0.58 inference(avatar_split_clause,[],[f473,f290,f434,f476])).
% 0.22/0.58 thf(f473,plain,(
% 0.22/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (rel @ X1 @ X2)) | ((rel @ X0 @ sK4) = $false) | ((rel @ sK2 @ X2) = $true) | ((rel @ sK2 @ X0) = $false) | ((rel @ sK2 @ X1) = $false)) ) | ~spl0_5),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f471])).
% 0.22/0.58 thf(f471,plain,(
% 0.22/0.58 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | ((rel @ sK2 @ X2) = $true) | ((rel @ sK2 @ X0) = $false) | ($false = (rel @ X1 @ X2)) | ((rel @ X0 @ sK4) = $false) | ((rel @ sK2 @ X1) = $false)) ) | ~spl0_5),
% 0.22/0.58 inference(superposition,[],[f292,f216])).
% 0.22/0.58 thf(f216,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (rel @ X0 @ X2)) | ((rel @ X0 @ X1) = $false) | ($false = (rel @ X1 @ X2)) | ($false = (rel @ X3 @ X4)) | ((rel @ X0 @ X4) = $true) | ((rel @ X0 @ X3) = $false)) )),
% 0.22/0.58 inference(trivial_inequality_removal,[],[f210])).
% 0.22/0.58 thf(f210,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((rel @ X0 @ X4) = $true) | ($false = (rel @ X3 @ X4)) | ($true = $false) | ($false = (rel @ X1 @ X2)) | ((rel @ X0 @ X1) = $false) | ((rel @ X0 @ X3) = $false) | ($true = (rel @ X0 @ X2))) )),
% 0.22/0.58 inference(superposition,[],[f188,f182])).
% 0.22/0.58 thf(f182,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ (sK7 @ X1 @ X0)) = $true) | ($false = (rel @ X1 @ X2)) | ((rel @ X2 @ X3) = $false) | ((X0 @ X3) = $true)) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f181])).
% 0.22/0.58 thf(f181,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : ((((rel @ X2 @ X3) => (X0 @ X3)) = $true) | ($false = (rel @ X1 @ X2)) | ((rel @ X1 @ (sK7 @ X1 @ X0)) = $true)) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f180])).
% 0.22/0.58 thf(f180,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ (sK7 @ X1 @ X0)) = $true) | ($false = (rel @ X1 @ X2)) | (((^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))) @ X3) = $true)) )),
% 0.22/0.58 inference(pi_clausification,[],[f179])).
% 0.22/0.58 thf(f179,plain,(
% 0.22/0.58 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (rel @ X1 @ X2)) | ((rel @ X1 @ (sK7 @ X1 @ X0)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0)))) = $true)) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f178])).
% 0.22/0.58 thf(f178,plain,(
% 0.22/0.58 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ (sK7 @ X1 @ X0)) = $true) | ($true = ((rel @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))))))) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f177])).
% 0.22/0.58 thf(f177,plain,(
% 0.22/0.58 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ (sK7 @ X1 @ X0)) = $true) | ($true = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1)))))) @ X2))) )),
% 0.22/0.58 inference(pi_clausification,[],[f176])).
% 0.22/0.58 thf(f176,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (((rel @ X1 @ (sK7 @ X1 @ X0)) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))))) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f174])).
% 0.22/0.58 thf(f174,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : ((((rel @ X1 @ (sK7 @ X1 @ X0)) => (X0 @ (sK7 @ X1 @ X0))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))))) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f173])).
% 0.22/0.58 thf(f173,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))) @ (sK7 @ X1 @ X0)) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))))) )),
% 0.22/0.58 inference(sigma_clausification,[],[f172])).
% 0.22/0.58 thf(f172,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))))) )),
% 0.22/0.58 inference(not_proxy_clausification,[],[f171])).
% 0.22/0.58 thf(f171,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))))) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f170])).
% 0.22/0.58 thf(f170,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))))))) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f169])).
% 0.22/0.58 thf(f169,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (X0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))) @ X1))) )),
% 0.22/0.58 inference(pi_clausification,[],[f168])).
% 0.22/0.58 thf(f168,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (X0 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1)))))))))) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f115])).
% 0.22/0.58 thf(f115,plain,(
% 0.22/0.58 ( ! [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]: ((Y3 @ Y4) | (Y2 @ 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))))))))) @ rel @ X0) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ rel @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ rel @ X0)))))) )),
% 0.22/0.58 inference(definition_unfolding,[],[f80,f81,f105,f83,f83,f83])).
% 0.22/0.58 thf(f80,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0)))) = $true)) )),
% 0.22/0.58 inference(cnf_transformation,[],[f55])).
% 0.22/0.58 thf(f55,plain,(
% 0.22/0.58 ! [X0 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0)))) = $true)),
% 0.22/0.58 inference(fool_elimination,[],[f54])).
% 0.22/0.58 thf(f54,plain,(
% 0.22/0.58 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0))))),
% 0.22/0.58 inference(rectify,[],[f26])).
% 0.22/0.58 thf(f26,axiom,(
% 0.22/0.58 ! [X8 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X8) @ (mbox @ rel @ (mbox @ rel @ X8))))),
% 0.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom)).
% 0.22/0.58 thf(f188,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ (sK7 @ X1 @ X0)) = $false) | ($false = (rel @ X1 @ X2)) | ((X0 @ X3) = $true) | ((rel @ X2 @ X3) = $false)) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f187])).
% 0.22/0.58 thf(f187,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (rel @ X1 @ X2)) | ((X0 @ (sK7 @ X1 @ X0)) = $false) | (((rel @ X2 @ X3) => (X0 @ X3)) = $true)) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f186])).
% 0.22/0.58 thf(f186,plain,(
% 0.22/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ (sK7 @ X1 @ X0)) = $false) | ($false = (rel @ X1 @ X2)) | (((^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))) @ X3) = $true)) )),
% 0.22/0.58 inference(pi_clausification,[],[f185])).
% 0.22/0.58 thf(f185,plain,(
% 0.22/0.58 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ (sK7 @ X1 @ X0)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0)))) = $true) | ($false = (rel @ X1 @ X2))) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f184])).
% 0.22/0.58 thf(f184,plain,(
% 0.22/0.58 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = ((rel @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0)))))) | ((X0 @ (sK7 @ X1 @ X0)) = $false)) )),
% 0.22/0.58 inference(beta_eta_normalization,[],[f183])).
% 0.22/0.58 thf(f183,plain,(
% 0.22/0.58 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ (sK7 @ X1 @ X0)) = $false) | ($true = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1)))))) @ X2))) )),
% 0.22/0.58 inference(pi_clausification,[],[f175])).
% 0.22/0.58 thf(f175,plain,(
% 0.22/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1)))))))) | ((X0 @ (sK7 @ X1 @ X0)) = $false)) )),
% 0.22/0.58 inference(binary_proxy_clausification,[],[f174])).
% 0.22/0.58 % SZS output end Proof for theBenchmark
% 0.22/0.58 % (12769)------------------------------
% 0.22/0.58 % (12769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.58 % (12769)Termination reason: Refutation
% 0.22/0.58
% 0.22/0.58 % (12769)Memory used [KB]: 6396
% 0.22/0.58 % (12769)Time elapsed: 0.121 s
% 0.22/0.58 % (12769)Instructions burned: 248 (million)
% 0.22/0.58 % (12769)------------------------------
% 0.22/0.58 % (12769)------------------------------
% 0.22/0.58 % (12737)Success in time 0.206 s
% 0.22/0.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------