TSTP Solution File: SWV431^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV431^2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 06:01:13 EDT 2024
% Result : Theorem 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV431^2 : TPTP v8.2.0. Released v3.6.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 07:31:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.21/0.37 % (16595)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (16589)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.37 % (16591)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)
% 0.21/0.37 % (16592)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (16590)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)
% 0.21/0.37 % (16593)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)
% 0.21/0.37 % (16594)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)
% 0.21/0.37 % (16592)Instruction limit reached!
% 0.21/0.37 % (16592)------------------------------
% 0.21/0.37 % (16592)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (16592)Termination reason: Unknown
% 0.21/0.37 % (16593)Instruction limit reached!
% 0.21/0.37 % (16593)------------------------------
% 0.21/0.37 % (16593)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (16592)Termination phase: shuffling
% 0.21/0.37
% 0.21/0.37 % (16592)Memory used [KB]: 1023
% 0.21/0.37 % (16592)Time elapsed: 0.003 s
% 0.21/0.37 % (16592)Instructions burned: 2 (million)
% 0.21/0.37 % (16592)------------------------------
% 0.21/0.37 % (16592)------------------------------
% 0.21/0.37 % (16593)Termination reason: Unknown
% 0.21/0.37 % (16593)Termination phase: shuffling
% 0.21/0.37
% 0.21/0.37 % (16593)Memory used [KB]: 1023
% 0.21/0.37 % (16593)Time elapsed: 0.003 s
% 0.21/0.37 % (16593)Instructions burned: 2 (million)
% 0.21/0.37 % (16593)------------------------------
% 0.21/0.37 % (16593)------------------------------
% 0.21/0.37 % (16596)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)
% 0.21/0.37 % (16590)Instruction limit reached!
% 0.21/0.37 % (16590)------------------------------
% 0.21/0.37 % (16590)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (16590)Termination reason: Unknown
% 0.21/0.37 % (16590)Termination phase: Property scanning
% 0.21/0.37
% 0.21/0.37 % (16590)Memory used [KB]: 1023
% 0.21/0.37 % (16590)Time elapsed: 0.004 s
% 0.21/0.37 % (16590)Instructions burned: 4 (million)
% 0.21/0.37 % (16590)------------------------------
% 0.21/0.37 % (16590)------------------------------
% 0.21/0.37 % (16596)Instruction limit reached!
% 0.21/0.37 % (16596)------------------------------
% 0.21/0.37 % (16596)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (16596)Termination reason: Unknown
% 0.21/0.37 % (16596)Termination phase: Unused predicate definition removal
% 0.21/0.37
% 0.21/0.37 % (16596)Memory used [KB]: 1023
% 0.21/0.37 % (16596)Time elapsed: 0.004 s
% 0.21/0.37 % (16596)Instructions burned: 4 (million)
% 0.21/0.37 % (16596)------------------------------
% 0.21/0.37 % (16596)------------------------------
% 0.21/0.38 % (16594)Refutation not found, incomplete strategy
% 0.21/0.38 % (16594)------------------------------
% 0.21/0.38 % (16594)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (16594)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38
% 0.21/0.38 % (16594)Memory used [KB]: 5500
% 0.21/0.38 % (16594)Time elapsed: 0.006 s
% 0.21/0.38 % (16594)Instructions burned: 6 (million)
% 0.21/0.38 % (16594)------------------------------
% 0.21/0.38 % (16594)------------------------------
% 0.21/0.38 % (16595)Instruction limit reached!
% 0.21/0.38 % (16595)------------------------------
% 0.21/0.38 % (16595)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (16595)Termination reason: Unknown
% 0.21/0.38 % (16595)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (16595)Memory used [KB]: 5628
% 0.21/0.38 % (16595)Time elapsed: 0.011 s
% 0.21/0.38 % (16595)Instructions burned: 19 (million)
% 0.21/0.38 % (16595)------------------------------
% 0.21/0.38 % (16595)------------------------------
% 0.21/0.39 % (16597)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)
% 0.21/0.39 % (16598)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)
% 0.21/0.39 % (16591)Instruction limit reached!
% 0.21/0.39 % (16591)------------------------------
% 0.21/0.39 % (16591)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (16591)Termination reason: Unknown
% 0.21/0.39 % (16591)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (16591)Memory used [KB]: 5756
% 0.21/0.39 % (16591)Time elapsed: 0.018 s
% 0.21/0.39 % (16591)Instructions burned: 27 (million)
% 0.21/0.39 % (16591)------------------------------
% 0.21/0.39 % (16591)------------------------------
% 0.21/0.39 % (16599)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)
% 0.21/0.39 % (16599)Instruction limit reached!
% 0.21/0.39 % (16599)------------------------------
% 0.21/0.39 % (16599)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (16599)Termination reason: Unknown
% 0.21/0.39 % (16599)Termination phase: Property scanning
% 0.21/0.39
% 0.21/0.39 % (16599)Memory used [KB]: 1023
% 0.21/0.39 % (16599)Time elapsed: 0.004 s
% 0.21/0.39 % (16599)Instructions burned: 4 (million)
% 0.21/0.39 % (16599)------------------------------
% 0.21/0.39 % (16599)------------------------------
% 0.21/0.39 % (16601)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.39 % (16600)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)
% 0.21/0.39 % (16601)Instruction limit reached!
% 0.21/0.39 % (16601)------------------------------
% 0.21/0.39 % (16601)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (16601)Termination reason: Unknown
% 0.21/0.39 % (16601)Termination phase: Property scanning
% 0.21/0.39
% 0.21/0.39 % (16601)Memory used [KB]: 1023
% 0.21/0.39 % (16601)Time elapsed: 0.005 s
% 0.21/0.39 % (16601)Instructions burned: 7 (million)
% 0.21/0.39 % (16601)------------------------------
% 0.21/0.39 % (16601)------------------------------
% 0.21/0.39 % (16602)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40 % (16598)Instruction limit reached!
% 0.21/0.40 % (16598)------------------------------
% 0.21/0.40 % (16598)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (16598)Termination reason: Unknown
% 0.21/0.40 % (16598)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (16598)Memory used [KB]: 5628
% 0.21/0.40 % (16598)Time elapsed: 0.010 s
% 0.21/0.40 % (16598)Instructions burned: 15 (million)
% 0.21/0.40 % (16598)------------------------------
% 0.21/0.40 % (16598)------------------------------
% 0.21/0.40 % (16603)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)
% 0.21/0.40 % (16602)Instruction limit reached!
% 0.21/0.40 % (16602)------------------------------
% 0.21/0.40 % (16602)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (16602)Termination reason: Unknown
% 0.21/0.40 % (16602)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (16602)Memory used [KB]: 5628
% 0.21/0.40 % (16602)Time elapsed: 0.011 s
% 0.21/0.40 % (16602)Instructions burned: 16 (million)
% 0.21/0.40 % (16602)------------------------------
% 0.21/0.40 % (16602)------------------------------
% 0.21/0.40 % (16603)Instruction limit reached!
% 0.21/0.40 % (16603)------------------------------
% 0.21/0.40 % (16603)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (16603)Termination reason: Unknown
% 0.21/0.40 % (16603)Termination phase: Preprocessing 3
% 0.21/0.40
% 0.21/0.40 % (16603)Memory used [KB]: 1023
% 0.21/0.40 % (16603)Time elapsed: 0.004 s
% 0.21/0.40 % (16603)Instructions burned: 4 (million)
% 0.21/0.40 % (16603)------------------------------
% 0.21/0.40 % (16603)------------------------------
% 0.21/0.40 % (16604)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)
% 0.21/0.41 % (16604)Instruction limit reached!
% 0.21/0.41 % (16604)------------------------------
% 0.21/0.41 % (16604)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (16604)Termination reason: Unknown
% 0.21/0.41 % (16604)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (16604)Memory used [KB]: 1023
% 0.21/0.41 % (16604)Time elapsed: 0.004 s
% 0.21/0.41 % (16604)Instructions burned: 4 (million)
% 0.21/0.41 % (16604)------------------------------
% 0.21/0.41 % (16604)------------------------------
% 0.21/0.41 % (16597)Instruction limit reached!
% 0.21/0.41 % (16597)------------------------------
% 0.21/0.41 % (16597)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (16597)Termination reason: Unknown
% 0.21/0.41 % (16597)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (16597)Memory used [KB]: 5884
% 0.21/0.41 % (16597)Time elapsed: 0.022 s
% 0.21/0.41 % (16597)Instructions burned: 37 (million)
% 0.21/0.41 % (16597)------------------------------
% 0.21/0.41 % (16597)------------------------------
% 0.21/0.41 % (16605)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)
% 0.21/0.41 % (16606)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)
% 0.21/0.41 % (16605)Instruction limit reached!
% 0.21/0.41 % (16605)------------------------------
% 0.21/0.41 % (16605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (16605)Termination reason: Unknown
% 0.21/0.41 % (16605)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (16605)Memory used [KB]: 1023
% 0.21/0.41 % (16605)Time elapsed: 0.005 s
% 0.21/0.41 % (16605)Instructions burned: 7 (million)
% 0.21/0.41 % (16605)------------------------------
% 0.21/0.41 % (16605)------------------------------
% 0.21/0.41 % (16606)Instruction limit reached!
% 0.21/0.41 % (16606)------------------------------
% 0.21/0.41 % (16606)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (16606)Termination reason: Unknown
% 0.21/0.41 % (16606)Termination phase: Function definition elimination
% 0.21/0.41
% 0.21/0.41 % (16606)Memory used [KB]: 1023
% 0.21/0.41 % (16606)Time elapsed: 0.004 s
% 0.21/0.41 % (16606)Instructions burned: 4 (million)
% 0.21/0.41 % (16606)------------------------------
% 0.21/0.41 % (16606)------------------------------
% 0.21/0.42 % (16607)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.42 % (16607)Instruction limit reached!
% 0.21/0.42 % (16607)------------------------------
% 0.21/0.42 % (16607)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (16607)Termination reason: Unknown
% 0.21/0.42 % (16607)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (16607)Memory used [KB]: 1023
% 0.21/0.42 % (16607)Time elapsed: 0.004 s
% 0.21/0.42 % (16607)Instructions burned: 4 (million)
% 0.21/0.42 % (16607)------------------------------
% 0.21/0.42 % (16607)------------------------------
% 0.21/0.42 % (16609)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.42 % (16610)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.42 % (16610)Instruction limit reached!
% 0.21/0.42 % (16610)------------------------------
% 0.21/0.42 % (16610)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (16610)Termination reason: Unknown
% 0.21/0.42 % (16610)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (16610)Memory used [KB]: 1023
% 0.21/0.42 % (16610)Time elapsed: 0.005 s
% 0.21/0.42 % (16610)Instructions burned: 7 (million)
% 0.21/0.42 % (16610)------------------------------
% 0.21/0.42 % (16610)------------------------------
% 0.21/0.43 % (16611)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)
% 0.21/0.43 % (16612)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)
% 0.21/0.43 % (16608)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)
% 0.21/0.43 % (16611)Refutation not found, incomplete strategy
% 0.21/0.43 % (16611)------------------------------
% 0.21/0.43 % (16611)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (16611)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (16611)Memory used [KB]: 5500
% 0.21/0.43 % (16611)Time elapsed: 0.005 s
% 0.21/0.43 % (16611)Instructions burned: 6 (million)
% 0.21/0.43 % (16611)------------------------------
% 0.21/0.43 % (16611)------------------------------
% 0.21/0.43 % (16613)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.44 % (16613)Instruction limit reached!
% 0.21/0.44 % (16613)------------------------------
% 0.21/0.44 % (16613)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (16613)Termination reason: Unknown
% 0.21/0.44 % (16613)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (16613)Memory used [KB]: 5500
% 0.21/0.44 % (16613)Time elapsed: 0.005 s
% 0.21/0.44 % (16613)Instructions burned: 6 (million)
% 0.21/0.44 % (16613)------------------------------
% 0.21/0.44 % (16613)------------------------------
% 0.21/0.44 % (16614)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)
% 0.21/0.44 % (16612)Instruction limit reached!
% 0.21/0.44 % (16612)------------------------------
% 0.21/0.44 % (16612)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (16612)Termination reason: Unknown
% 0.21/0.44 % (16612)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (16612)Memory used [KB]: 5628
% 0.21/0.44 % (16612)Time elapsed: 0.015 s
% 0.21/0.44 % (16612)Instructions burned: 22 (million)
% 0.21/0.44 % (16612)------------------------------
% 0.21/0.44 % (16612)------------------------------
% 0.21/0.44 % (16614)Instruction limit reached!
% 0.21/0.44 % (16614)------------------------------
% 0.21/0.44 % (16614)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (16614)Termination reason: Unknown
% 0.21/0.44 % (16614)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (16614)Memory used [KB]: 5500
% 0.21/0.44 % (16614)Time elapsed: 0.005 s
% 0.21/0.44 % (16614)Instructions burned: 6 (million)
% 0.21/0.44 % (16614)------------------------------
% 0.21/0.44 % (16614)------------------------------
% 0.21/0.44 % (16615)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.44 % (16608)Instruction limit reached!
% 0.21/0.44 % (16608)------------------------------
% 0.21/0.44 % (16608)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (16608)Termination reason: Unknown
% 0.21/0.44 % (16608)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (16608)Memory used [KB]: 5628
% 0.21/0.44 % (16608)Time elapsed: 0.021 s
% 0.21/0.44 % (16608)Instructions burned: 18 (million)
% 0.21/0.44 % (16608)------------------------------
% 0.21/0.44 % (16608)------------------------------
% 0.21/0.45 % (16616)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)
% 0.21/0.46 % (16618)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)
% 0.21/0.46 % (16617)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)
% 0.21/0.46 % (16619)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.46 % (16617)Refutation not found, incomplete strategy
% 0.21/0.46 % (16617)------------------------------
% 0.21/0.46 % (16617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (16617)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % (16617)Memory used [KB]: 5500
% 0.21/0.47 % (16617)Time elapsed: 0.009 s
% 0.21/0.47 % (16617)Instructions burned: 6 (million)
% 0.21/0.47 % (16617)------------------------------
% 0.21/0.47 % (16617)------------------------------
% 0.21/0.47 % (16619)Instruction limit reached!
% 0.21/0.47 % (16619)------------------------------
% 0.21/0.47 % (16619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (16619)Termination reason: Unknown
% 0.21/0.47 % (16619)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (16619)Memory used [KB]: 5628
% 0.21/0.47 % (16619)Time elapsed: 0.033 s
% 0.21/0.47 % (16619)Instructions burned: 17 (million)
% 0.21/0.47 % (16619)------------------------------
% 0.21/0.47 % (16619)------------------------------
% 0.21/0.47 % (16615)First to succeed.
% 0.21/0.48 % (16615)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% 0.21/0.48 thf(type_def_6, type, individuals: $tType).
% 0.21/0.48 thf(func_def_1, type, prop_a: $i > $o).
% 0.21/0.48 thf(func_def_2, type, prop_b: $i > $o).
% 0.21/0.48 thf(func_def_3, type, prop_c: $i > $o).
% 0.21/0.48 thf(func_def_4, type, mfalse: $i > $o).
% 0.21/0.48 thf(func_def_5, type, mtrue: $i > $o).
% 0.21/0.48 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_14, type, individuals: $tType).
% 0.21/0.48 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.21/0.48 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.21/0.48 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.21/0.48 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.21/0.48 thf(func_def_21, type, rel: $i > $i > $o).
% 0.21/0.48 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_27, type, icl_true: $i > $o).
% 0.21/0.48 thf(func_def_28, type, icl_false: $i > $o).
% 0.21/0.48 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_30, type, iclval: ($i > $o) > $o).
% 0.21/0.48 thf(func_def_31, type, icl_impl_princ: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.48 thf(func_def_32, type, a: $i > $o).
% 0.21/0.48 thf(func_def_33, type, b: $i > $o).
% 0.21/0.48 thf(func_def_34, type, s: $i > $o).
% 0.21/0.48 thf(func_def_49, type, sK1: $i > ($i > $o) > $i).
% 0.21/0.48 thf(func_def_55, type, sK7: $i > ($i > $o) > $i).
% 0.21/0.48 thf(func_def_56, type, ph8: !>[X0: $tType]:(X0)).
% 0.21/0.48 thf(f600,plain,(
% 0.21/0.48 $false),
% 0.21/0.48 inference(avatar_sat_refutation,[],[f271,f462,f479,f560,f598])).
% 0.21/0.48 thf(f598,plain,(
% 0.21/0.48 ~spl0_6),
% 0.21/0.48 inference(avatar_contradiction_clause,[],[f597])).
% 0.21/0.48 thf(f597,plain,(
% 0.21/0.48 $false | ~spl0_6),
% 0.21/0.48 inference(trivial_inequality_removal,[],[f596])).
% 0.21/0.48 thf(f596,plain,(
% 0.21/0.48 ($true = $false) | ~spl0_6),
% 0.21/0.48 inference(forward_demodulation,[],[f580,f155])).
% 0.21/0.48 thf(f155,plain,(
% 0.21/0.48 ((s @ sK6) = $false)),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f154])).
% 0.21/0.48 thf(f154,plain,(
% 0.21/0.48 ($false = ((rel @ sK5 @ sK6) => (s @ sK6)))),
% 0.21/0.48 inference(beta_eta_normalization,[],[f153])).
% 0.21/0.48 thf(f153,plain,(
% 0.21/0.48 ($false = ((^[Y0 : $i]: ((rel @ sK5 @ Y0) => (s @ Y0))) @ sK6))),
% 0.21/0.48 inference(sigma_clausification,[],[f152])).
% 0.21/0.48 thf(f152,plain,(
% 0.21/0.48 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (s @ Y0)))))),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f149])).
% 0.21/0.48 thf(f149,plain,(
% 0.21/0.48 (((!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (s @ Y0)))) | (b @ sK5)) = $false)),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f148])).
% 0.21/0.48 thf(f148,plain,(
% 0.21/0.48 ($false = ((rel @ sK4 @ sK5) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (s @ Y0)))) | (b @ sK5))))),
% 0.21/0.48 inference(beta_eta_normalization,[],[f147])).
% 0.21/0.48 thf(f147,plain,(
% 0.21/0.48 ($false = ((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (b @ Y0)))) @ sK5))),
% 0.21/0.48 inference(sigma_clausification,[],[f146])).
% 0.21/0.48 thf(f146,plain,(
% 0.21/0.48 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (b @ Y0))))) = $false)),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f143])).
% 0.21/0.48 thf(f143,plain,(
% 0.21/0.48 (((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (b @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))))) = $false)),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f142])).
% 0.21/0.48 thf(f142,plain,(
% 0.21/0.48 ($false = ((rel @ sK3 @ sK4) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (b @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))))))))),
% 0.21/0.48 inference(beta_eta_normalization,[],[f141])).
% 0.21/0.48 thf(f141,plain,(
% 0.21/0.48 (((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (b @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))))))) @ sK4) = $false)),
% 0.21/0.48 inference(sigma_clausification,[],[f140])).
% 0.21/0.48 thf(f140,plain,(
% 0.21/0.48 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (b @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1)))))))))))),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f137])).
% 0.21/0.48 thf(f137,plain,(
% 0.21/0.48 (((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (b @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1)))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))))) = $false)),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f136])).
% 0.21/0.48 thf(f136,plain,(
% 0.21/0.48 (((rel @ sK2 @ sK3) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (b @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1)))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0))))))))) = $false)),
% 0.21/0.48 inference(beta_eta_normalization,[],[f135])).
% 0.21/0.48 thf(f135,plain,(
% 0.21/0.48 ($false = ((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (b @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1)))))))))) @ sK3))),
% 0.21/0.48 inference(sigma_clausification,[],[f134])).
% 0.21/0.48 thf(f134,plain,(
% 0.21/0.48 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (b @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((b @ Y1) | (~ (a @ Y1))))))))))))),
% 0.21/0.48 inference(beta_eta_normalization,[],[f133])).
% 0.21/0.48 thf(f133,plain,(
% 0.21/0.48 (((^[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) => (s @ Y4)))) | (b @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))) | (a @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2)))))))))))) @ sK2) = $false)),
% 0.21/0.48 inference(sigma_clausification,[],[f132])).
% 0.21/0.48 thf(f132,plain,(
% 0.21/0.48 ($true != (!! @ $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) => (s @ Y4)))) | (b @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4)))) | (a @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((b @ Y2) | (~ (a @ Y2))))))))))))))),
% 0.21/0.48 inference(beta_eta_normalization,[],[f122])).
% 0.21/0.48 thf(f122,plain,(
% 0.21/0.48 ($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 > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: (Y0)) @ b)) @ ((^[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)) @ b) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s))))))),
% 0.21/0.48 inference(definition_unfolding,[],[f97,f118,f114,f119,f108,f108,f114,f117,f108,f111,f117,f108,f111])).
% 0.21/0.48 thf(f111,plain,(
% 0.21/0.48 (icl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)))),
% 0.21/0.48 inference(definition_unfolding,[],[f85,f102])).
% 0.21/0.48 thf(f102,plain,(
% 0.21/0.48 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.21/0.48 inference(cnf_transformation,[],[f63])).
% 0.21/0.48 thf(f63,plain,(
% 0.21/0.48 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.21/0.48 inference(fool_elimination,[],[f62])).
% 0.21/0.48 thf(f62,plain,(
% 0.21/0.48 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.21/0.48 inference(rectify,[],[f8])).
% 0.21/0.48 thf(f8,axiom,(
% 0.21/0.48 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.21/0.48 thf(f85,plain,(
% 0.21/0.48 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.21/0.48 inference(cnf_transformation,[],[f34])).
% 0.21/0.48 thf(f34,plain,(
% 0.21/0.48 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.21/0.48 inference(fool_elimination,[],[f33])).
% 0.21/0.48 thf(f33,plain,(
% 0.21/0.48 ((^[X0 : $i > $o] : (mbox @ rel @ X0)) = icl_atom)),
% 0.21/0.48 inference(rectify,[],[f16])).
% 0.21/0.48 thf(f16,axiom,(
% 0.21/0.48 ((^[X5 : $i > $o] : (mbox @ rel @ X5)) = icl_atom)),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_atom)).
% 0.21/0.48 thf(f117,plain,(
% 0.21/0.48 (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))))))),
% 0.21/0.48 inference(definition_unfolding,[],[f103,f102,f105])).
% 0.21/0.48 thf(f105,plain,(
% 0.21/0.48 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.21/0.48 inference(cnf_transformation,[],[f36])).
% 0.21/0.48 thf(f36,plain,(
% 0.21/0.48 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.21/0.48 inference(fool_elimination,[],[f35])).
% 0.21/0.48 thf(f35,plain,(
% 0.21/0.48 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.21/0.48 inference(rectify,[],[f4])).
% 0.21/0.48 thf(f4,axiom,(
% 0.21/0.48 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))) = mor)),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.21/0.48 thf(f103,plain,(
% 0.21/0.48 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.21/0.48 inference(cnf_transformation,[],[f73])).
% 0.21/0.48 thf(f73,plain,(
% 0.21/0.48 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.21/0.48 inference(fool_elimination,[],[f72])).
% 0.21/0.48 thf(f72,plain,(
% 0.21/0.48 (icl_says = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))))),
% 0.21/0.48 inference(rectify,[],[f23])).
% 0.21/0.48 thf(f23,axiom,(
% 0.21/0.48 (icl_says = (^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))))),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_says)).
% 0.21/0.48 thf(f108,plain,(
% 0.21/0.48 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.21/0.48 inference(cnf_transformation,[],[f66])).
% 0.21/0.48 thf(f66,plain,(
% 0.21/0.48 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.21/0.48 inference(fool_elimination,[],[f65])).
% 0.21/0.48 thf(f65,plain,(
% 0.21/0.48 ((^[X0 : $i > $o] : (X0)) = icl_princ)),
% 0.21/0.48 inference(rectify,[],[f17])).
% 0.21/0.48 thf(f17,axiom,(
% 0.21/0.48 ((^[X5 : $i > $o] : (X5)) = icl_princ)),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_princ)).
% 0.21/0.48 thf(f119,plain,(
% 0.21/0.48 (icl_impl_princ = (^[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))))))),
% 0.21/0.48 inference(definition_unfolding,[],[f104,f102,f109])).
% 0.21/0.48 thf(f109,plain,(
% 0.21/0.48 (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)))))),
% 0.21/0.48 inference(definition_unfolding,[],[f82,f105,f83])).
% 0.21/0.48 thf(f83,plain,(
% 0.21/0.48 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.48 inference(cnf_transformation,[],[f53])).
% 0.21/0.48 thf(f53,plain,(
% 0.21/0.48 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.48 inference(fool_elimination,[],[f52])).
% 0.21/0.48 thf(f52,plain,(
% 0.21/0.48 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.21/0.48 inference(rectify,[],[f3])).
% 0.21/0.48 thf(f3,axiom,(
% 0.21/0.48 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.21/0.48 thf(f82,plain,(
% 0.21/0.48 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.48 inference(cnf_transformation,[],[f77])).
% 0.21/0.48 thf(f77,plain,(
% 0.21/0.48 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.48 inference(fool_elimination,[],[f76])).
% 0.21/0.48 thf(f76,plain,(
% 0.21/0.48 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.21/0.48 inference(rectify,[],[f6])).
% 0.21/0.48 thf(f6,axiom,(
% 0.21/0.48 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimpl)).
% 0.21/0.48 thf(f104,plain,(
% 0.21/0.48 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.21/0.48 inference(cnf_transformation,[],[f68])).
% 0.21/0.48 thf(f68,plain,(
% 0.21/0.48 (icl_impl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.21/0.48 inference(fool_elimination,[],[f67])).
% 0.21/0.48 thf(f67,plain,(
% 0.21/0.48 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))) = icl_impl_princ)),
% 0.21/0.48 inference(rectify,[],[f27])).
% 0.21/0.48 thf(f27,axiom,(
% 0.21/0.48 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))) = icl_impl_princ)),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_impl_princ)).
% 0.21/0.48 thf(f114,plain,(
% 0.21/0.48 (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))))))),
% 0.21/0.48 inference(definition_unfolding,[],[f100,f102,f109])).
% 0.21/0.48 thf(f100,plain,(
% 0.21/0.48 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.21/0.48 inference(cnf_transformation,[],[f59])).
% 0.21/0.48 thf(f59,plain,(
% 0.21/0.48 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.21/0.48 inference(fool_elimination,[],[f58])).
% 0.21/0.48 thf(f58,plain,(
% 0.21/0.48 (icl_impl = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))))),
% 0.21/0.48 inference(rectify,[],[f20])).
% 0.21/0.48 thf(f20,axiom,(
% 0.21/0.48 (icl_impl = (^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))))),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_impl)).
% 0.21/0.48 thf(f118,plain,(
% 0.21/0.48 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.21/0.48 inference(definition_unfolding,[],[f96,f91])).
% 0.21/0.48 thf(f91,plain,(
% 0.21/0.48 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.48 inference(cnf_transformation,[],[f39])).
% 0.21/0.48 thf(f39,plain,(
% 0.21/0.48 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.48 inference(fool_elimination,[],[f38])).
% 0.21/0.48 thf(f38,plain,(
% 0.21/0.48 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.21/0.48 inference(rectify,[],[f12])).
% 0.21/0.48 thf(f12,axiom,(
% 0.21/0.48 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.21/0.48 thf(f96,plain,(
% 0.21/0.48 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.21/0.48 inference(cnf_transformation,[],[f37])).
% 0.21/0.48 thf(f37,plain,(
% 0.21/0.48 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.21/0.48 inference(fool_elimination,[],[f24])).
% 0.21/0.48 thf(f24,axiom,(
% 0.21/0.48 ((^[X0 : $i > $o] : (mvalid @ X0)) = iclval)),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',icl_s4_valid)).
% 0.21/0.48 thf(f97,plain,(
% 0.21/0.48 ((iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s))))) != $true)),
% 0.21/0.48 inference(cnf_transformation,[],[f80])).
% 0.21/0.48 thf(f80,plain,(
% 0.21/0.48 ((iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s))))) != $true)),
% 0.21/0.48 inference(flattening,[],[f41])).
% 0.21/0.48 thf(f41,plain,(
% 0.21/0.48 ~((iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s))))) = $true)),
% 0.21/0.48 inference(fool_elimination,[],[f40])).
% 0.21/0.48 thf(f40,plain,(
% 0.21/0.48 ~(iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s)))))),
% 0.21/0.48 inference(rectify,[],[f29])).
% 0.21/0.48 thf(f29,negated_conjecture,(
% 0.21/0.48 ~(iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s)))))),
% 0.21/0.48 inference(negated_conjecture,[],[f28])).
% 0.21/0.48 thf(f28,conjecture,(
% 0.21/0.48 (iclval @ (icl_impl @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ b) @ (icl_atom @ s)))))),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',speaking_for)).
% 0.21/0.48 thf(f580,plain,(
% 0.21/0.48 ($true = (s @ sK6)) | ~spl0_6),
% 0.21/0.48 inference(trivial_inequality_removal,[],[f569])).
% 0.21/0.48 thf(f569,plain,(
% 0.21/0.48 ($true = (s @ sK6)) | ($true = $false) | ~spl0_6),
% 0.21/0.48 inference(superposition,[],[f269,f156])).
% 0.21/0.48 thf(f156,plain,(
% 0.21/0.48 ($true = (rel @ sK5 @ sK6))),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f154])).
% 0.21/0.48 thf(f269,plain,(
% 0.21/0.48 ( ! [X0 : $i] : (($false = (rel @ sK5 @ X0)) | ($true = (s @ X0))) ) | ~spl0_6),
% 0.21/0.48 inference(avatar_component_clause,[],[f268])).
% 0.21/0.48 thf(f268,plain,(
% 0.21/0.48 spl0_6 <=> ! [X0] : (($true = (s @ X0)) | ($false = (rel @ sK5 @ X0)))),
% 0.21/0.48 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.21/0.48 thf(f560,plain,(
% 0.21/0.48 ~spl0_5 | ~spl0_21),
% 0.21/0.48 inference(avatar_contradiction_clause,[],[f559])).
% 0.21/0.48 thf(f559,plain,(
% 0.21/0.48 $false | (~spl0_5 | ~spl0_21)),
% 0.21/0.48 inference(trivial_inequality_removal,[],[f558])).
% 0.21/0.48 thf(f558,plain,(
% 0.21/0.48 ($true = $false) | (~spl0_5 | ~spl0_21)),
% 0.21/0.48 inference(backward_demodulation,[],[f266,f557])).
% 0.21/0.48 thf(f557,plain,(
% 0.21/0.48 ((a @ sK5) = $false) | ~spl0_21),
% 0.21/0.48 inference(trivial_inequality_removal,[],[f556])).
% 0.21/0.48 thf(f556,plain,(
% 0.21/0.48 ($true = $false) | ((a @ sK5) = $false) | ~spl0_21),
% 0.21/0.48 inference(forward_demodulation,[],[f543,f151])).
% 0.21/0.48 thf(f151,plain,(
% 0.21/0.48 ((b @ sK5) = $false)),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f149])).
% 0.21/0.48 thf(f543,plain,(
% 0.21/0.48 ((b @ sK5) = $true) | ((a @ sK5) = $false) | ~spl0_21),
% 0.21/0.48 inference(trivial_inequality_removal,[],[f531])).
% 0.21/0.48 thf(f531,plain,(
% 0.21/0.48 ($true = $false) | ((a @ sK5) = $false) | ((b @ sK5) = $true) | ~spl0_21),
% 0.21/0.48 inference(superposition,[],[f521,f150])).
% 0.21/0.48 thf(f150,plain,(
% 0.21/0.48 ($true = (rel @ sK4 @ sK5))),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f148])).
% 0.21/0.48 thf(f521,plain,(
% 0.21/0.48 ( ! [X0 : $i] : (($false = (rel @ sK4 @ X0)) | ($false = (a @ X0)) | ($true = (b @ X0))) ) | ~spl0_21),
% 0.21/0.48 inference(trivial_inequality_removal,[],[f509])).
% 0.21/0.48 thf(f509,plain,(
% 0.21/0.48 ( ! [X0 : $i] : (($true = $false) | ($true = (b @ X0)) | ($false = (a @ X0)) | ($false = (rel @ sK4 @ X0))) ) | ~spl0_21),
% 0.21/0.48 inference(superposition,[],[f144,f459])).
% 0.21/0.48 thf(f459,plain,(
% 0.21/0.48 ( ! [X3 : $i,X0 : $i] : (($false = (rel @ sK3 @ X3)) | ((rel @ X3 @ X0) = $false) | ($false = (a @ X0)) | ($true = (b @ X0))) ) | ~spl0_21),
% 0.21/0.48 inference(avatar_component_clause,[],[f458])).
% 0.21/0.48 thf(f458,plain,(
% 0.21/0.48 spl0_21 <=> ! [X0,X3] : (($false = (a @ X0)) | ($false = (rel @ sK3 @ X3)) | ($true = (b @ X0)) | ((rel @ X3 @ X0) = $false))),
% 0.21/0.48 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
% 0.21/0.48 thf(f144,plain,(
% 0.21/0.48 ($true = (rel @ sK3 @ sK4))),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f142])).
% 0.21/0.48 thf(f266,plain,(
% 0.21/0.48 ($true = (a @ sK5)) | ~spl0_5),
% 0.21/0.48 inference(avatar_component_clause,[],[f264])).
% 0.21/0.48 thf(f264,plain,(
% 0.21/0.48 spl0_5 <=> ($true = (a @ sK5))),
% 0.21/0.48 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.21/0.48 thf(f479,plain,(
% 0.21/0.48 spl0_21 | ~spl0_20),
% 0.21/0.48 inference(avatar_split_clause,[],[f474,f455,f458])).
% 0.21/0.48 thf(f455,plain,(
% 0.21/0.48 spl0_20 <=> ! [X2,X1] : (((rel @ X1 @ X2) = $false) | ($true = (rel @ sK3 @ X2)) | ((rel @ sK3 @ X1) = $false))),
% 0.21/0.48 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])).
% 0.21/0.48 thf(f474,plain,(
% 0.21/0.48 ( ! [X0 : $i,X1 : $i] : (($false = (a @ X0)) | ((rel @ sK3 @ X1) = $false) | ($true = (b @ X0)) | ($false = (rel @ X1 @ X0))) ) | ~spl0_20),
% 0.21/0.48 inference(trivial_inequality_removal,[],[f467])).
% 0.21/0.48 thf(f467,plain,(
% 0.21/0.48 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ($true = (b @ X0)) | ($false = (a @ X0)) | ((rel @ sK3 @ X1) = $false) | ($false = (rel @ X1 @ X0))) ) | ~spl0_20),
% 0.21/0.48 inference(superposition,[],[f170,f456])).
% 0.21/0.48 thf(f456,plain,(
% 0.21/0.48 ( ! [X2 : $i,X1 : $i] : (($true = (rel @ sK3 @ X2)) | ((rel @ X1 @ X2) = $false) | ((rel @ sK3 @ X1) = $false)) ) | ~spl0_20),
% 0.21/0.48 inference(avatar_component_clause,[],[f455])).
% 0.21/0.48 thf(f170,plain,(
% 0.21/0.48 ( ! [X1 : $i] : (((rel @ sK3 @ X1) = $false) | ($true = (b @ X1)) | ((a @ X1) = $false)) )),
% 0.21/0.48 inference(not_proxy_clausification,[],[f169])).
% 0.21/0.48 thf(f169,plain,(
% 0.21/0.48 ( ! [X1 : $i] : (($true = (b @ X1)) | ((rel @ sK3 @ X1) = $false) | ($true = (~ (a @ X1)))) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f168])).
% 0.21/0.48 thf(f168,plain,(
% 0.21/0.48 ( ! [X1 : $i] : (((rel @ sK3 @ X1) = $false) | (((b @ X1) | (~ (a @ X1))) = $true)) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f167])).
% 0.21/0.48 thf(f167,plain,(
% 0.21/0.48 ( ! [X1 : $i] : (($true = ((rel @ sK3 @ X1) => ((b @ X1) | (~ (a @ X1)))))) )),
% 0.21/0.48 inference(beta_eta_normalization,[],[f166])).
% 0.21/0.48 thf(f166,plain,(
% 0.21/0.48 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0))))) @ X1))) )),
% 0.21/0.48 inference(pi_clausification,[],[f165])).
% 0.21/0.48 thf(f165,plain,(
% 0.21/0.48 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0)))))))),
% 0.21/0.48 inference(not_proxy_clausification,[],[f139])).
% 0.21/0.48 thf(f139,plain,(
% 0.21/0.48 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((b @ Y0) | (~ (a @ Y0))))))) = $false)),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f137])).
% 0.21/0.48 thf(f462,plain,(
% 0.21/0.48 spl0_20 | spl0_21),
% 0.21/0.48 inference(avatar_split_clause,[],[f438,f458,f455])).
% 0.21/0.48 thf(f438,plain,(
% 0.21/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (rel @ sK3 @ X2)) | ((rel @ X1 @ X2) = $false) | ((rel @ X3 @ X0) = $false) | ($false = (a @ X0)) | ($true = (b @ X0)) | ((rel @ sK3 @ X1) = $false) | ($false = (rel @ sK3 @ X3))) )),
% 0.21/0.48 inference(trivial_inequality_removal,[],[f421])).
% 0.21/0.48 thf(f421,plain,(
% 0.21/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a @ X0)) | ($false = (rel @ sK3 @ X3)) | ($true = $false) | ((rel @ X1 @ X2) = $false) | ((rel @ X3 @ X0) = $false) | ((rel @ sK3 @ X1) = $false) | ($true = (b @ X0)) | ($true = (rel @ sK3 @ X2))) )),
% 0.21/0.48 inference(superposition,[],[f327,f170])).
% 0.21/0.48 thf(f327,plain,(
% 0.21/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (rel @ X0 @ X4)) | ((rel @ X0 @ X1) = $false) | ((rel @ X1 @ X2) = $false) | ($false = (rel @ X0 @ X3)) | ($false = (rel @ X3 @ X4)) | ($true = (rel @ X0 @ X2))) )),
% 0.21/0.48 inference(trivial_inequality_removal,[],[f318])).
% 0.21/0.48 thf(f318,plain,(
% 0.21/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (rel @ X0 @ X2)) | ($true = $false) | ($true = (rel @ X0 @ X4)) | ((rel @ X0 @ X1) = $false) | ($false = (rel @ X3 @ X4)) | ((rel @ X1 @ X2) = $false) | ($false = (rel @ X0 @ X3))) )),
% 0.21/0.48 inference(superposition,[],[f189,f185])).
% 0.21/0.48 thf(f185,plain,(
% 0.21/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($true = (rel @ X1 @ (sK7 @ X1 @ X0))) | ((rel @ X1 @ X2) = $false) | ((rel @ X2 @ X3) = $false) | ($true = (X0 @ X3))) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f184])).
% 0.21/0.48 thf(f184,plain,(
% 0.21/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ X2) = $false) | ($true = ((rel @ X2 @ X3) => (X0 @ X3))) | ($true = (rel @ X1 @ (sK7 @ X1 @ X0)))) )),
% 0.21/0.48 inference(beta_eta_normalization,[],[f183])).
% 0.21/0.48 thf(f183,plain,(
% 0.21/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ X2) = $false) | ($true = (rel @ X1 @ (sK7 @ X1 @ X0))) | ($true = ((^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))) @ X3))) )),
% 0.21/0.48 inference(pi_clausification,[],[f182])).
% 0.21/0.48 thf(f182,plain,(
% 0.21/0.48 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))))) | ($true = (rel @ X1 @ (sK7 @ X1 @ X0)))) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f181])).
% 0.21/0.48 thf(f181,plain,(
% 0.21/0.48 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (rel @ X1 @ (sK7 @ X1 @ X0))) | ($true = ((rel @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))))))) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f179])).
% 0.21/0.48 thf(f179,plain,(
% 0.21/0.48 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = ((rel @ X1 @ (sK7 @ X1 @ X0)) => (X0 @ (sK7 @ X1 @ X0)))) | ($true = ((rel @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))))))) )),
% 0.21/0.48 inference(beta_eta_normalization,[],[f178])).
% 0.21/0.48 thf(f178,plain,(
% 0.21/0.48 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))) @ (sK7 @ X1 @ X0)) = $false) | ($true = ((rel @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))))))) )),
% 0.21/0.48 inference(sigma_clausification,[],[f177])).
% 0.21/0.48 thf(f177,plain,(
% 0.21/0.48 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))) = $false) | ($true = ((rel @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))))))) )),
% 0.21/0.48 inference(beta_eta_normalization,[],[f176])).
% 0.21/0.48 thf(f176,plain,(
% 0.21/0.48 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1)))))) @ X2)) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))) = $false)) )),
% 0.21/0.48 inference(pi_clausification,[],[f175])).
% 0.21/0.48 thf(f175,plain,(
% 0.21/0.48 ( ! [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)))) = $false)) )),
% 0.21/0.48 inference(not_proxy_clausification,[],[f174])).
% 0.21/0.48 thf(f174,plain,(
% 0.21/0.48 ( ! [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))))))))) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f173])).
% 0.21/0.48 thf(f173,plain,(
% 0.21/0.48 ( ! [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)))))))) )),
% 0.21/0.48 inference(beta_eta_normalization,[],[f172])).
% 0.21/0.48 thf(f172,plain,(
% 0.21/0.48 ( ! [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))) )),
% 0.21/0.48 inference(pi_clausification,[],[f171])).
% 0.21/0.48 thf(f171,plain,(
% 0.21/0.48 ( ! [X0 : $i > $o] : (((!! @ $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)))))))) = $true)) )),
% 0.21/0.48 inference(beta_eta_normalization,[],[f121])).
% 0.21/0.48 thf(f121,plain,(
% 0.21/0.48 ( ! [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) @ ((^[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)))) = $true)) )),
% 0.21/0.48 inference(definition_unfolding,[],[f90,f91,f109,f102,f102,f102])).
% 0.21/0.48 thf(f90,plain,(
% 0.21/0.48 ( ! [X0 : $i > $o] : (($true = (mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0)))))) )),
% 0.21/0.48 inference(cnf_transformation,[],[f45])).
% 0.21/0.48 thf(f45,plain,(
% 0.21/0.48 ! [X0 : $i > $o] : ($true = (mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0)))))),
% 0.21/0.48 inference(fool_elimination,[],[f44])).
% 0.21/0.48 thf(f44,plain,(
% 0.21/0.48 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0))))),
% 0.21/0.48 inference(rectify,[],[f26])).
% 0.21/0.48 thf(f26,axiom,(
% 0.21/0.48 ! [X8 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X8) @ (mbox @ rel @ (mbox @ rel @ X8))))),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_axiom)).
% 0.21/0.48 thf(f189,plain,(
% 0.21/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (X0 @ (sK7 @ X1 @ X0))) | ((rel @ X2 @ X3) = $false) | ($true = (X0 @ X3)) | ((rel @ X1 @ X2) = $false)) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f188])).
% 0.21/0.48 thf(f188,plain,(
% 0.21/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ X2) = $false) | ($true = ((rel @ X2 @ X3) => (X0 @ X3))) | ($false = (X0 @ (sK7 @ X1 @ X0)))) )),
% 0.21/0.48 inference(beta_eta_normalization,[],[f187])).
% 0.21/0.48 thf(f187,plain,(
% 0.21/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))) @ X3)) | ($false = (X0 @ (sK7 @ X1 @ X0))) | ((rel @ X1 @ X2) = $false)) )),
% 0.21/0.48 inference(pi_clausification,[],[f186])).
% 0.21/0.48 thf(f186,plain,(
% 0.21/0.48 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ X2) = $false) | ($false = (X0 @ (sK7 @ X1 @ X0))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0)))))) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f180])).
% 0.21/0.48 thf(f180,plain,(
% 0.21/0.48 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = ((rel @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0)))))) | ($false = (X0 @ (sK7 @ X1 @ X0)))) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f179])).
% 0.21/0.48 thf(f271,plain,(
% 0.21/0.48 spl0_6 | spl0_5),
% 0.21/0.48 inference(avatar_split_clause,[],[f256,f264,f268])).
% 0.21/0.48 thf(f256,plain,(
% 0.21/0.48 ( ! [X0 : $i] : (($true = (s @ X0)) | ($true = (a @ sK5)) | ($false = (rel @ sK5 @ X0))) )),
% 0.21/0.48 inference(trivial_inequality_removal,[],[f251])).
% 0.21/0.48 thf(f251,plain,(
% 0.21/0.48 ( ! [X0 : $i] : (($true = $false) | ($true = (a @ sK5)) | ($true = (s @ X0)) | ($false = (rel @ sK5 @ X0))) )),
% 0.21/0.48 inference(superposition,[],[f150,f164])).
% 0.21/0.48 thf(f164,plain,(
% 0.21/0.48 ( ! [X2 : $i,X1 : $i] : (((rel @ sK4 @ X1) = $false) | ((s @ X2) = $true) | ((rel @ X1 @ X2) = $false) | ($true = (a @ X1))) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f163])).
% 0.21/0.48 thf(f163,plain,(
% 0.21/0.48 ( ! [X2 : $i,X1 : $i] : (((rel @ sK4 @ X1) = $false) | (((rel @ X1 @ X2) => (s @ X2)) = $true) | ($true = (a @ X1))) )),
% 0.21/0.48 inference(beta_eta_normalization,[],[f162])).
% 0.21/0.48 thf(f162,plain,(
% 0.21/0.48 ( ! [X2 : $i,X1 : $i] : (($true = (a @ X1)) | ($true = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0))) @ X2)) | ((rel @ sK4 @ X1) = $false)) )),
% 0.21/0.48 inference(pi_clausification,[],[f161])).
% 0.21/0.48 thf(f161,plain,(
% 0.21/0.48 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0))))) | ($true = (a @ X1)) | ((rel @ sK4 @ X1) = $false)) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f160])).
% 0.21/0.48 thf(f160,plain,(
% 0.21/0.48 ( ! [X1 : $i] : (((rel @ sK4 @ X1) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))) | (a @ X1)))) )),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f159])).
% 0.21/0.48 thf(f159,plain,(
% 0.21/0.48 ( ! [X1 : $i] : ((((rel @ sK4 @ X1) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))) | (a @ X1))) = $true)) )),
% 0.21/0.48 inference(beta_eta_normalization,[],[f158])).
% 0.21/0.48 thf(f158,plain,(
% 0.21/0.48 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))) @ X1))) )),
% 0.21/0.48 inference(pi_clausification,[],[f157])).
% 0.21/0.48 thf(f157,plain,(
% 0.21/0.48 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) = $true)),
% 0.21/0.48 inference(not_proxy_clausification,[],[f145])).
% 0.21/0.48 thf(f145,plain,(
% 0.21/0.48 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))))))),
% 0.21/0.48 inference(binary_proxy_clausification,[],[f143])).
% 0.21/0.48 % SZS output end Proof for theBenchmark
% 0.21/0.48 % (16615)------------------------------
% 0.21/0.48 % (16615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (16615)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (16615)Memory used [KB]: 6012
% 0.21/0.48 % (16615)Time elapsed: 0.055 s
% 0.21/0.48 % (16615)Instructions burned: 63 (million)
% 0.21/0.48 % (16615)------------------------------
% 0.21/0.48 % (16615)------------------------------
% 0.21/0.48 % (16588)Success in time 0.131 s
% 0.21/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------