TSTP Solution File: AGT029^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT029^1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n023.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 : Sun May 5 04:09:30 EDT 2024
% Result : Theorem 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : AGT029^1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n023.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 19:22:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437
% 0.15/0.40 % (27702)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 Vampire---4 for (2999ds/4Mi)
% 0.15/0.40 % (27703)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 Vampire---4 for (2999ds/27Mi)
% 0.15/0.40 % (27701)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.40 % (27704)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.40 % (27706)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.15/0.40 % (27705)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.40 % (27707)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.40 % (27708)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.40 % (27704)Instruction limit reached!
% 0.15/0.40 % (27704)------------------------------
% 0.15/0.40 % (27704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (27704)Termination reason: Unknown
% 0.15/0.40 % (27705)Instruction limit reached!
% 0.15/0.40 % (27705)------------------------------
% 0.15/0.40 % (27705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (27705)Termination reason: Unknown
% 0.15/0.40 % (27705)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (27705)Memory used [KB]: 1023
% 0.15/0.40 % (27705)Time elapsed: 0.004 s
% 0.15/0.40 % (27705)Instructions burned: 3 (million)
% 0.15/0.40 % (27705)------------------------------
% 0.15/0.40 % (27705)------------------------------
% 0.15/0.40 % (27704)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (27704)Memory used [KB]: 1023
% 0.15/0.40 % (27704)Time elapsed: 0.004 s
% 0.15/0.40 % (27704)Instructions burned: 3 (million)
% 0.15/0.40 % (27704)------------------------------
% 0.15/0.40 % (27704)------------------------------
% 0.15/0.40 % (27708)Instruction limit reached!
% 0.15/0.40 % (27708)------------------------------
% 0.15/0.40 % (27708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (27708)Termination reason: Unknown
% 0.15/0.40 % (27708)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (27708)Memory used [KB]: 1023
% 0.15/0.40 % (27708)Time elapsed: 0.003 s
% 0.15/0.40 % (27708)Instructions burned: 3 (million)
% 0.15/0.40 % (27708)------------------------------
% 0.15/0.40 % (27708)------------------------------
% 0.15/0.40 % (27702)Instruction limit reached!
% 0.15/0.40 % (27702)------------------------------
% 0.15/0.40 % (27702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (27702)Termination reason: Unknown
% 0.15/0.40 % (27702)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (27702)Memory used [KB]: 1151
% 0.15/0.40 % (27702)Time elapsed: 0.005 s
% 0.15/0.40 % (27702)Instructions burned: 5 (million)
% 0.15/0.40 % (27702)------------------------------
% 0.15/0.40 % (27702)------------------------------
% 0.15/0.40 % (27707)Instruction limit reached!
% 0.15/0.40 % (27707)------------------------------
% 0.15/0.40 % (27707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (27707)Termination reason: Unknown
% 0.15/0.40 % (27707)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (27707)Memory used [KB]: 1151
% 0.15/0.40 % (27707)Time elapsed: 0.011 s
% 0.15/0.40 % (27707)Instructions burned: 18 (million)
% 0.15/0.40 % (27707)------------------------------
% 0.15/0.40 % (27707)------------------------------
% 0.22/0.41 % (27703)Instruction limit reached!
% 0.22/0.41 % (27703)------------------------------
% 0.22/0.41 % (27703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (27703)Termination reason: Unknown
% 0.22/0.41 % (27703)Termination phase: Function definition elimination
% 0.22/0.41 % (27706)Refutation not found, incomplete strategy
% 0.22/0.41 % (27706)------------------------------
% 0.22/0.41 % (27706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (27706)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.41
% 0.22/0.41
% 0.22/0.41 % (27706)Memory used [KB]: 5756
% 0.22/0.41 % (27706)Time elapsed: 0.014 s
% 0.22/0.41 % (27706)Instructions burned: 23 (million)
% 0.22/0.41 % (27706)------------------------------
% 0.22/0.41 % (27706)------------------------------
% 0.22/0.41
% 0.22/0.41 % (27703)Memory used [KB]: 1279
% 0.22/0.41 % (27703)Time elapsed: 0.015 s
% 0.22/0.41 % (27703)Instructions burned: 27 (million)
% 0.22/0.41 % (27703)------------------------------
% 0.22/0.41 % (27703)------------------------------
% 0.22/0.41 % (27709)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 Vampire---4 for (2999ds/37Mi)
% 0.22/0.41 % (27710)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 Vampire---4 for (2999ds/15Mi)
% 0.22/0.41 % (27711)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.41 % (27712)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 Vampire---4 for (2999ds/1041Mi)
% 0.22/0.41 % (27711)Instruction limit reached!
% 0.22/0.41 % (27711)------------------------------
% 0.22/0.41 % (27711)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (27711)Termination reason: Unknown
% 0.22/0.41 % (27711)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (27711)Memory used [KB]: 1023
% 0.22/0.41 % (27711)Time elapsed: 0.004 s
% 0.22/0.41 % (27711)Instructions burned: 4 (million)
% 0.22/0.41 % (27711)------------------------------
% 0.22/0.41 % (27711)------------------------------
% 0.22/0.42 % (27713)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.42 % (27710)Instruction limit reached!
% 0.22/0.42 % (27710)------------------------------
% 0.22/0.42 % (27710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (27710)Termination reason: Unknown
% 0.22/0.42 % (27710)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (27710)Memory used [KB]: 1151
% 0.22/0.42 % (27710)Time elapsed: 0.010 s
% 0.22/0.42 % (27710)Instructions burned: 16 (million)
% 0.22/0.42 % (27710)------------------------------
% 0.22/0.42 % (27710)------------------------------
% 0.22/0.42 % (27714)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.22/0.42 % (27713)Instruction limit reached!
% 0.22/0.42 % (27713)------------------------------
% 0.22/0.42 % (27713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (27713)Termination reason: Unknown
% 0.22/0.42 % (27713)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (27713)Memory used [KB]: 1151
% 0.22/0.42 % (27713)Time elapsed: 0.006 s
% 0.22/0.42 % (27713)Instructions burned: 8 (million)
% 0.22/0.42 % (27713)------------------------------
% 0.22/0.42 % (27713)------------------------------
% 0.22/0.42 % (27715)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 Vampire---4 for (2999ds/3Mi)
% 0.22/0.43 % (27715)Instruction limit reached!
% 0.22/0.43 % (27715)------------------------------
% 0.22/0.43 % (27715)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (27715)Termination reason: Unknown
% 0.22/0.43 % (27715)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (27715)Memory used [KB]: 1151
% 0.22/0.43 % (27715)Time elapsed: 0.004 s
% 0.22/0.43 % (27715)Instructions burned: 4 (million)
% 0.22/0.43 % (27715)------------------------------
% 0.22/0.43 % (27715)------------------------------
% 0.22/0.43 % (27709)Instruction limit reached!
% 0.22/0.43 % (27709)------------------------------
% 0.22/0.43 % (27709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (27709)Termination reason: Unknown
% 0.22/0.43 % (27709)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (27709)Memory used [KB]: 1279
% 0.22/0.43 % (27709)Time elapsed: 0.019 s
% 0.22/0.43 % (27709)Instructions burned: 38 (million)
% 0.22/0.43 % (27709)------------------------------
% 0.22/0.43 % (27709)------------------------------
% 0.22/0.43 % (27716)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 Vampire---4 for (2999ds/3Mi)
% 0.22/0.43 % (27714)Instruction limit reached!
% 0.22/0.43 % (27714)------------------------------
% 0.22/0.43 % (27714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (27714)Termination reason: Unknown
% 0.22/0.43 % (27714)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (27714)Memory used [KB]: 1151
% 0.22/0.43 % (27714)Time elapsed: 0.010 s
% 0.22/0.43 % (27714)Instructions burned: 16 (million)
% 0.22/0.43 % (27714)------------------------------
% 0.22/0.43 % (27714)------------------------------
% 0.22/0.43 % (27716)Instruction limit reached!
% 0.22/0.43 % (27716)------------------------------
% 0.22/0.43 % (27716)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (27716)Termination reason: Unknown
% 0.22/0.43 % (27716)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (27716)Memory used [KB]: 1023
% 0.22/0.43 % (27716)Time elapsed: 0.004 s
% 0.22/0.43 % (27716)Instructions burned: 4 (million)
% 0.22/0.43 % (27716)------------------------------
% 0.22/0.43 % (27716)------------------------------
% 0.22/0.43 % (27717)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.44 % (27718)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.44 % (27717)Instruction limit reached!
% 0.22/0.44 % (27717)------------------------------
% 0.22/0.44 % (27717)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (27717)Termination reason: Unknown
% 0.22/0.44 % (27717)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (27717)Memory used [KB]: 1151
% 0.22/0.44 % (27717)Time elapsed: 0.006 s
% 0.22/0.44 % (27717)Instructions burned: 8 (million)
% 0.22/0.44 % (27717)------------------------------
% 0.22/0.44 % (27717)------------------------------
% 0.22/0.44 % (27718)Instruction limit reached!
% 0.22/0.44 % (27718)------------------------------
% 0.22/0.44 % (27718)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (27718)Termination reason: Unknown
% 0.22/0.44 % (27718)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (27718)Memory used [KB]: 1151
% 0.22/0.44 % (27718)Time elapsed: 0.004 s
% 0.22/0.44 % (27718)Instructions burned: 4 (million)
% 0.22/0.44 % (27718)------------------------------
% 0.22/0.44 % (27718)------------------------------
% 0.22/0.44 % (27719)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.44 % (27719)Instruction limit reached!
% 0.22/0.44 % (27719)------------------------------
% 0.22/0.44 % (27719)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (27719)Termination reason: Unknown
% 0.22/0.44 % (27719)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (27719)Memory used [KB]: 1023
% 0.22/0.44 % (27719)Time elapsed: 0.004 s
% 0.22/0.44 % (27719)Instructions burned: 4 (million)
% 0.22/0.44 % (27719)------------------------------
% 0.22/0.44 % (27719)------------------------------
% 0.22/0.44 % (27720)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.45 % (27721)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.22/0.45 % (27722)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.45 % (27722)Instruction limit reached!
% 0.22/0.45 % (27722)------------------------------
% 0.22/0.45 % (27722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (27722)Termination reason: Unknown
% 0.22/0.45 % (27722)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (27722)Memory used [KB]: 1151
% 0.22/0.45 % (27722)Time elapsed: 0.005 s
% 0.22/0.45 % (27722)Instructions burned: 6 (million)
% 0.22/0.45 % (27722)------------------------------
% 0.22/0.45 % (27722)------------------------------
% 0.22/0.45 % (27720)Instruction limit reached!
% 0.22/0.45 % (27720)------------------------------
% 0.22/0.45 % (27720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (27720)Termination reason: Unknown
% 0.22/0.45 % (27720)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (27720)Memory used [KB]: 1151
% 0.22/0.45 % (27720)Time elapsed: 0.011 s
% 0.22/0.45 % (27720)Instructions burned: 18 (million)
% 0.22/0.45 % (27720)------------------------------
% 0.22/0.45 % (27720)------------------------------
% 0.22/0.45 % (27723)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 Vampire---4 for (2999ds/902Mi)
% 0.22/0.45 % (27724)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 Vampire---4 for (2999ds/21Mi)
% 0.22/0.46 % (27725)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.46 % (27725)Instruction limit reached!
% 0.22/0.46 % (27725)------------------------------
% 0.22/0.46 % (27725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (27725)Termination reason: Unknown
% 0.22/0.46 % (27725)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (27725)Memory used [KB]: 1151
% 0.22/0.46 % (27725)Time elapsed: 0.005 s
% 0.22/0.46 % (27725)Instructions burned: 6 (million)
% 0.22/0.46 % (27725)------------------------------
% 0.22/0.46 % (27725)------------------------------
% 0.22/0.46 % (27726)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 Vampire---4 for (2999ds/6Mi)
% 0.22/0.47 % (27724)Instruction limit reached!
% 0.22/0.47 % (27724)------------------------------
% 0.22/0.47 % (27724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (27724)Termination reason: Unknown
% 0.22/0.47 % (27724)Termination phase: Clausification
% 0.22/0.47
% 0.22/0.47 % (27724)Memory used [KB]: 1279
% 0.22/0.47 % (27724)Time elapsed: 0.013 s
% 0.22/0.47 % (27724)Instructions burned: 22 (million)
% 0.22/0.47 % (27724)------------------------------
% 0.22/0.47 % (27724)------------------------------
% 0.22/0.47 % (27726)Instruction limit reached!
% 0.22/0.47 % (27726)------------------------------
% 0.22/0.47 % (27726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (27726)Termination reason: Unknown
% 0.22/0.47 % (27726)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (27726)Memory used [KB]: 1151
% 0.22/0.47 % (27726)Time elapsed: 0.005 s
% 0.22/0.47 % (27726)Instructions burned: 6 (million)
% 0.22/0.47 % (27726)------------------------------
% 0.22/0.47 % (27726)------------------------------
% 0.22/0.47 % (27727)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.22/0.47 % (27723)Refutation not found, incomplete strategy
% 0.22/0.47 % (27723)------------------------------
% 0.22/0.47 % (27723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (27723)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (27723)Memory used [KB]: 5756
% 0.22/0.47 % (27723)Time elapsed: 0.017 s
% 0.22/0.47 % (27723)Instructions burned: 27 (million)
% 0.22/0.47 % (27723)------------------------------
% 0.22/0.47 % (27723)------------------------------
% 0.22/0.47 % (27721)Refutation not found, incomplete strategy
% 0.22/0.47 % (27721)------------------------------
% 0.22/0.47 % (27721)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (27721)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (27721)Memory used [KB]: 5884
% 0.22/0.47 % (27721)Time elapsed: 0.026 s
% 0.22/0.47 % (27721)Instructions burned: 40 (million)
% 0.22/0.47 % (27721)------------------------------
% 0.22/0.47 % (27721)------------------------------
% 0.22/0.47 % (27728)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 Vampire---4 for (2999ds/779Mi)
% 0.22/0.48 % (27729)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 Vampire---4 for (2999ds/19Mi)
% 0.22/0.48 % (27730)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.22/0.48 % (27731)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.22/0.49 % (27732)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.49 % (27732)Instruction limit reached!
% 0.22/0.49 % (27732)------------------------------
% 0.22/0.49 % (27732)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (27701)Instruction limit reached!
% 0.22/0.49 % (27701)------------------------------
% 0.22/0.49 % (27701)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (27701)Termination reason: Unknown
% 0.22/0.49 % (27701)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (27701)Memory used [KB]: 6908
% 0.22/0.49 % (27701)Time elapsed: 0.094 s
% 0.22/0.49 % (27701)Instructions burned: 183 (million)
% 0.22/0.49 % (27701)------------------------------
% 0.22/0.49 % (27701)------------------------------
% 0.22/0.49 % (27732)Termination reason: Unknown
% 0.22/0.49 % (27732)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (27732)Memory used [KB]: 1023
% 0.22/0.49 % (27732)Time elapsed: 0.005 s
% 0.22/0.49 % (27732)Instructions burned: 4 (million)
% 0.22/0.49 % (27732)------------------------------
% 0.22/0.49 % (27732)------------------------------
% 0.22/0.49 % (27729)Instruction limit reached!
% 0.22/0.49 % (27729)------------------------------
% 0.22/0.49 % (27729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (27729)Termination reason: Unknown
% 0.22/0.49 % (27729)Termination phase: Property scanning
% 0.22/0.49
% 0.22/0.49 % (27729)Memory used [KB]: 1151
% 0.22/0.49 % (27729)Time elapsed: 0.011 s
% 0.22/0.49 % (27729)Instructions burned: 19 (million)
% 0.22/0.49 % (27729)------------------------------
% 0.22/0.49 % (27729)------------------------------
% 0.22/0.49 % (27731)Instruction limit reached!
% 0.22/0.49 % (27731)------------------------------
% 0.22/0.49 % (27731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (27731)Termination reason: Unknown
% 0.22/0.49 % (27731)Termination phase: Property scanning
% 0.22/0.49
% 0.22/0.49 % (27731)Memory used [KB]: 1151
% 0.22/0.49 % (27731)Time elapsed: 0.011 s
% 0.22/0.49 % (27731)Instructions burned: 18 (million)
% 0.22/0.49 % (27731)------------------------------
% 0.22/0.49 % (27731)------------------------------
% 0.22/0.50 % (27730)Refutation not found, incomplete strategy
% 0.22/0.50 % (27730)------------------------------
% 0.22/0.50 % (27730)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (27730)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (27730)Memory used [KB]: 5756
% 0.22/0.50 % (27730)Time elapsed: 0.022 s
% 0.22/0.50 % (27730)Instructions burned: 44 (million)
% 0.22/0.50 % (27730)------------------------------
% 0.22/0.50 % (27730)------------------------------
% 0.22/0.50 % (27733)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.22/0.50 % (27734)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.22/0.50 % (27735)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.22/0.51 % (27737)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 Vampire---4 for (2998ds/3Mi)
% 0.22/0.51 % (27737)Instruction limit reached!
% 0.22/0.51 % (27737)------------------------------
% 0.22/0.51 % (27737)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (27737)Termination reason: Unknown
% 0.22/0.51 % (27737)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (27737)Memory used [KB]: 1151
% 0.22/0.51 % (27737)Time elapsed: 0.003 s
% 0.22/0.51 % (27737)Instructions burned: 4 (million)
% 0.22/0.51 % (27737)------------------------------
% 0.22/0.51 % (27737)------------------------------
% 0.22/0.51 % (27739)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 Vampire---4 for (2998ds/20Mi)
% 0.22/0.51 % (27712)First to succeed.
% 0.22/0.52 % (27733)Instruction limit reached!
% 0.22/0.52 % (27733)------------------------------
% 0.22/0.52 % (27733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (27733)Termination reason: Unknown
% 0.22/0.52 % (27733)Termination phase: Property scanning
% 0.22/0.52
% 0.22/0.52 % (27733)Memory used [KB]: 1279
% 0.22/0.52 % (27733)Time elapsed: 0.015 s
% 0.22/0.52 % (27733)Instructions burned: 32 (million)
% 0.22/0.52 % (27733)------------------------------
% 0.22/0.52 % (27733)------------------------------
% 0.22/0.52 % (27739)Instruction limit reached!
% 0.22/0.52 % (27739)------------------------------
% 0.22/0.52 % (27739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (27739)Termination reason: Unknown
% 0.22/0.52 % (27739)Termination phase: SInE selection
% 0.22/0.52
% 0.22/0.52 % (27739)Memory used [KB]: 1151
% 0.22/0.52 % (27739)Time elapsed: 0.008 s
% 0.22/0.52 % (27739)Instructions burned: 23 (million)
% 0.22/0.52 % (27739)------------------------------
% 0.22/0.52 % (27739)------------------------------
% 0.22/0.52 % (27740)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 Vampire---4 for (2998ds/86Mi)
% 0.22/0.52 % (27712)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Theorem for Vampire---4
% 0.22/0.52 % SZS output start Proof for Vampire---4
% 0.22/0.52 thf(type_def_5, type, mu: $tType).
% 0.22/0.52 thf(func_def_0, type, mu: $tType).
% 0.22/0.52 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.52 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.52 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.52 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.52 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.52 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.52 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.52 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.52 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.52 thf(func_def_33, type, r1: $i > $i > $o).
% 0.22/0.52 thf(func_def_34, type, r2: $i > $i > $o).
% 0.22/0.52 thf(func_def_35, type, r3: $i > $i > $o).
% 0.22/0.52 thf(func_def_36, type, r4: $i > $i > $o).
% 0.22/0.52 thf(func_def_37, type, r5: $i > $i > $o).
% 0.22/0.52 thf(func_def_38, type, john: mu).
% 0.22/0.52 thf(func_def_39, type, tom: mu).
% 0.22/0.52 thf(func_def_40, type, peter: mu).
% 0.22/0.52 thf(func_def_41, type, mike: mu).
% 0.22/0.52 thf(func_def_42, type, good_in_maths: mu > $i > $o).
% 0.22/0.52 thf(func_def_43, type, maths_teacher: mu > $i > $o).
% 0.22/0.52 thf(func_def_44, type, mathematician: mu > $i > $o).
% 0.22/0.52 thf(func_def_45, type, maths_student: mu > $i > $o).
% 0.22/0.52 thf(func_def_46, type, good_in_physics: mu > $i > $o).
% 0.22/0.52 thf(func_def_47, type, physics_student: mu > $i > $o).
% 0.22/0.52 thf(func_def_64, type, ph1: !>[X0: $tType]:(X0)).
% 0.22/0.52 thf(func_def_66, type, sK3: mu > $i).
% 0.22/0.52 thf(func_def_67, type, sK4: mu > $i).
% 0.22/0.52 thf(f863,plain,(
% 0.22/0.52 $false),
% 0.22/0.52 inference(trivial_inequality_removal,[],[f858])).
% 0.22/0.52 thf(f858,plain,(
% 0.22/0.52 ($true = $false)),
% 0.22/0.52 inference(superposition,[],[f619,f636])).
% 0.22/0.52 thf(f636,plain,(
% 0.22/0.52 ( ! [X0 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ X0 @ Y0)) | (good_in_maths @ john @ Y0)))))) )),
% 0.22/0.52 inference(boolean_simplification,[],[f635])).
% 0.22/0.52 thf(f635,plain,(
% 0.22/0.52 ( ! [X0 : $i] : (($true = ($false | (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ X0 @ Y0)) | (good_in_maths @ john @ Y0))))))) )),
% 0.22/0.52 inference(boolean_simplification,[],[f633])).
% 0.22/0.52 thf(f633,plain,(
% 0.22/0.52 ( ! [X0 : $i] : ((((~ $true) | (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ X0 @ Y0)) | (good_in_maths @ john @ Y0))))) = $true)) )),
% 0.22/0.52 inference(superposition,[],[f625,f592])).
% 0.22/0.52 thf(f592,plain,(
% 0.22/0.52 ( ! [X0 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X0 @ Y0)) | (good_in_maths @ john @ Y0)))))) )),
% 0.22/0.52 inference(boolean_simplification,[],[f591])).
% 0.22/0.52 thf(f591,plain,(
% 0.22/0.52 ( ! [X0 : $i] : (($true = ($false | (!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X0 @ Y0)) | (good_in_maths @ john @ Y0))))))) )),
% 0.22/0.52 inference(boolean_simplification,[],[f590])).
% 0.22/0.52 thf(f590,plain,(
% 0.22/0.52 ( ! [X0 : $i] : (($true = ((~ $true) | (!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X0 @ Y0)) | (good_in_maths @ john @ Y0))))))) )),
% 0.22/0.52 inference(superposition,[],[f586,f540])).
% 0.22/0.52 thf(f540,plain,(
% 0.22/0.52 ( ! [X1 : $i] : (($true = (maths_teacher @ john @ X1))) )),
% 0.22/0.52 inference(pi_clausification,[],[f522])).
% 0.22/0.52 thf(f522,plain,(
% 0.22/0.52 ((!! @ $i @ (maths_teacher @ john)) = $true)),
% 0.22/0.52 inference(beta_eta_normalization,[],[f402])).
% 0.22/0.52 thf(f402,plain,(
% 0.22/0.52 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (maths_teacher @ john)))),
% 0.22/0.52 inference(definition_unfolding,[],[f296,f371])).
% 0.22/0.52 thf(f371,plain,(
% 0.22/0.52 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.52 inference(cnf_transformation,[],[f149])).
% 0.22/0.52 thf(f149,plain,(
% 0.22/0.52 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.52 inference(fool_elimination,[],[f148])).
% 0.22/0.52 thf(f148,plain,(
% 0.22/0.52 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.22/0.52 inference(rectify,[],[f28])).
% 0.22/0.52 thf(f28,axiom,(
% 0.22/0.52 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',mvalid)).
% 0.22/0.52 thf(f296,plain,(
% 0.22/0.52 ((mvalid @ (maths_teacher @ john)) = $true)),
% 0.22/0.52 inference(cnf_transformation,[],[f293])).
% 0.22/0.52 thf(f293,plain,(
% 0.22/0.52 ((mvalid @ (maths_teacher @ john)) = $true)),
% 0.22/0.52 inference(fool_elimination,[],[f292])).
% 0.22/0.52 thf(f292,plain,(
% 0.22/0.52 (mvalid @ (maths_teacher @ john))),
% 0.22/0.52 inference(rectify,[],[f49])).
% 0.22/0.52 thf(f49,axiom,(
% 0.22/0.52 (mvalid @ (maths_teacher @ john))),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',axiom_a6)).
% 0.22/0.52 thf(f586,plain,(
% 0.22/0.52 ( ! [X2 : mu,X1 : $i] : ((((~ (maths_teacher @ X2 @ X1)) | (!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X1 @ Y0)) | (good_in_maths @ X2 @ Y0))))) = $true)) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f585])).
% 0.22/0.52 thf(f585,plain,(
% 0.22/0.52 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((~ (maths_teacher @ Y0 @ X1)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (good_in_maths @ Y0 @ Y1)))))) @ X2))) )),
% 0.22/0.52 inference(pi_clausification,[],[f584])).
% 0.22/0.52 thf(f584,plain,(
% 0.22/0.52 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((~ (maths_teacher @ Y0 @ X1)) | (!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (good_in_maths @ Y0 @ Y1))))))))) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f583])).
% 0.22/0.52 thf(f583,plain,(
% 0.22/0.52 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: ((~ (maths_teacher @ Y1 @ Y0)) | (!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2)))))))) @ X1))) )),
% 0.22/0.52 inference(pi_clausification,[],[f511])).
% 0.22/0.52 thf(f511,plain,(
% 0.22/0.52 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: ((~ (maths_teacher @ Y1 @ Y0)) | (!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2))))))))) = $true)),
% 0.22/0.52 inference(beta_eta_normalization,[],[f443])).
% 0.22/0.52 thf(f443,plain,(
% 0.22/0.52 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ (maths_teacher @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r4 @ (good_in_maths @ Y0)))))) = $true)),
% 0.22/0.52 inference(definition_unfolding,[],[f349,f371,f363,f393,f391])).
% 0.22/0.52 thf(f391,plain,(
% 0.22/0.52 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f251])).
% 0.22/0.52 thf(f251,plain,(
% 0.22/0.52 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.22/0.52 inference(fool_elimination,[],[f250])).
% 0.22/0.52 thf(f250,plain,(
% 0.22/0.52 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
% 0.22/0.52 inference(rectify,[],[f16])).
% 0.22/0.52 thf(f16,axiom,(
% 0.22/0.52 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',mbox)).
% 0.22/0.52 thf(f393,plain,(
% 0.22/0.52 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.22/0.52 inference(definition_unfolding,[],[f294,f368,f385])).
% 0.22/0.52 thf(f385,plain,(
% 0.22/0.52 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f124])).
% 0.22/0.52 thf(f124,plain,(
% 0.22/0.52 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.52 inference(fool_elimination,[],[f123])).
% 0.22/0.52 thf(f123,plain,(
% 0.22/0.52 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.22/0.52 inference(rectify,[],[f3])).
% 0.22/0.52 thf(f3,axiom,(
% 0.22/0.52 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',mnot)).
% 0.22/0.52 thf(f368,plain,(
% 0.22/0.52 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f289])).
% 0.22/0.52 thf(f289,plain,(
% 0.22/0.52 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.52 inference(fool_elimination,[],[f288])).
% 0.22/0.52 thf(f288,plain,(
% 0.22/0.52 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.22/0.52 inference(rectify,[],[f4])).
% 0.22/0.52 thf(f4,axiom,(
% 0.22/0.52 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',mor)).
% 0.22/0.52 thf(f294,plain,(
% 0.22/0.52 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.52 inference(cnf_transformation,[],[f143])).
% 0.22/0.52 thf(f143,plain,(
% 0.22/0.52 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.52 inference(fool_elimination,[],[f142])).
% 0.22/0.52 thf(f142,plain,(
% 0.22/0.52 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.22/0.52 inference(rectify,[],[f6])).
% 0.22/0.52 thf(f6,axiom,(
% 0.22/0.52 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',mimplies)).
% 0.22/0.52 thf(f363,plain,(
% 0.22/0.52 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f283])).
% 0.22/0.52 thf(f283,plain,(
% 0.22/0.52 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.52 inference(fool_elimination,[],[f282])).
% 0.22/0.52 thf(f282,plain,(
% 0.22/0.52 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
% 0.22/0.52 inference(rectify,[],[f10])).
% 0.22/0.52 thf(f10,axiom,(
% 0.22/0.52 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',mforall_ind)).
% 0.22/0.52 thf(f349,plain,(
% 0.22/0.52 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mimplies @ (maths_teacher @ Y0) @ (mbox @ r4 @ (good_in_maths @ Y0)))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f255])).
% 0.22/0.52 thf(f255,plain,(
% 0.22/0.52 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mimplies @ (maths_teacher @ Y0) @ (mbox @ r4 @ (good_in_maths @ Y0)))))))),
% 0.22/0.52 inference(fool_elimination,[],[f254])).
% 0.22/0.52 thf(f254,plain,(
% 0.22/0.52 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mimplies @ (maths_teacher @ X0) @ (mbox @ r4 @ (good_in_maths @ X0))))))),
% 0.22/0.52 inference(rectify,[],[f32])).
% 0.22/0.52 thf(f32,axiom,(
% 0.22/0.52 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mimplies @ (maths_teacher @ X0) @ (mbox @ r4 @ (good_in_maths @ X0))))))),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',axiom_r1)).
% 0.22/0.52 thf(f625,plain,(
% 0.22/0.52 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X1 @ Y0)) | (X2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ X1 @ Y0)) | (X2 @ Y0))))))) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f624])).
% 0.22/0.52 thf(f624,plain,(
% 0.22/0.52 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (Y0 @ Y1)))))) @ X2))) )),
% 0.22/0.52 inference(pi_clausification,[],[f618])).
% 0.22/0.52 thf(f618,plain,(
% 0.22/0.52 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (Y0 @ Y1))))))) = $true)) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f617])).
% 0.22/0.52 thf(f617,plain,(
% 0.22/0.52 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ X1))) )),
% 0.22/0.52 inference(pi_clausification,[],[f492])).
% 0.22/0.52 thf(f492,plain,(
% 0.22/0.52 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))),
% 0.22/0.52 inference(beta_eta_normalization,[],[f408])).
% 0.22/0.52 thf(f408,plain,(
% 0.22/0.52 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r4 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0))))))),
% 0.22/0.52 inference(definition_unfolding,[],[f304,f371,f384,f393,f391,f391])).
% 0.22/0.52 thf(f384,plain,(
% 0.22/0.52 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f153])).
% 0.22/0.52 thf(f153,plain,(
% 0.22/0.52 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.52 inference(fool_elimination,[],[f152])).
% 0.22/0.52 thf(f152,plain,(
% 0.22/0.52 ((^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))) = mforall_prop)),
% 0.22/0.52 inference(rectify,[],[f11])).
% 0.22/0.52 thf(f11,axiom,(
% 0.22/0.52 ((^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))) = mforall_prop)),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',mforall_prop)).
% 0.22/0.52 thf(f304,plain,(
% 0.22/0.52 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r4 @ Y0) @ (mbox @ r3 @ Y0))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f285])).
% 0.22/0.52 thf(f285,plain,(
% 0.22/0.52 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r4 @ Y0) @ (mbox @ r3 @ Y0))))))),
% 0.22/0.52 inference(fool_elimination,[],[f284])).
% 0.22/0.52 thf(f284,plain,(
% 0.22/0.52 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ r4 @ X0) @ (mbox @ r3 @ X0)))))),
% 0.22/0.52 inference(rectify,[],[f65])).
% 0.22/0.52 thf(f65,axiom,(
% 0.22/0.52 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ r4 @ X3) @ (mbox @ r3 @ X3)))))),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',axiom_I_for_r4_r3)).
% 0.22/0.52 thf(f619,plain,(
% 0.22/0.52 ( ! [X0 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK2 @ Y0)) | (good_in_maths @ X0 @ Y0)))))) )),
% 0.22/0.52 inference(not_proxy_clausification,[],[f613])).
% 0.22/0.52 thf(f613,plain,(
% 0.22/0.52 ( ! [X0 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK2 @ Y0)) | (good_in_maths @ X0 @ Y0))))) = $true)) )),
% 0.22/0.52 inference(boolean_simplification,[],[f611])).
% 0.22/0.52 thf(f611,plain,(
% 0.22/0.52 ( ! [X0 : mu] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ sK2 @ Y0)) | (good_in_maths @ X0 @ Y0))))) | $false) = $true)) )),
% 0.22/0.52 inference(superposition,[],[f603,f566])).
% 0.22/0.52 thf(f566,plain,(
% 0.22/0.52 ( ! [X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK2 @ Y0)) | (good_in_maths @ X1 @ Y0)))) = $false)) )),
% 0.22/0.52 inference(not_proxy_clausification,[],[f565])).
% 0.22/0.52 thf(f565,plain,(
% 0.22/0.52 ( ! [X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK2 @ Y0)) | (good_in_maths @ X1 @ Y0))))) = $true)) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f564])).
% 0.22/0.52 thf(f564,plain,(
% 0.22/0.52 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK2 @ Y1)) | (good_in_maths @ Y0 @ Y1)))))) @ X1))) )),
% 0.22/0.52 inference(pi_clausification,[],[f561])).
% 0.22/0.52 thf(f561,plain,(
% 0.22/0.52 ($true = (!! @ mu @ (^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK2 @ Y1)) | (good_in_maths @ Y0 @ Y1))))))))),
% 0.22/0.52 inference(not_proxy_clausification,[],[f560])).
% 0.22/0.52 thf(f560,plain,(
% 0.22/0.52 ((~ (!! @ mu @ (^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK2 @ Y1)) | (good_in_maths @ Y0 @ Y1)))))))) = $false)),
% 0.22/0.52 inference(beta_eta_normalization,[],[f559])).
% 0.22/0.52 thf(f559,plain,(
% 0.22/0.52 (((^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2))))))))) @ sK2) = $false)),
% 0.22/0.52 inference(sigma_clausification,[],[f556])).
% 0.22/0.52 thf(f556,plain,(
% 0.22/0.52 ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2)))))))))) = $false)),
% 0.22/0.52 inference(not_proxy_clausification,[],[f469])).
% 0.22/0.52 thf(f469,plain,(
% 0.22/0.52 ((~ (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2))))))))))) = $true)),
% 0.22/0.52 inference(beta_eta_normalization,[],[f458])).
% 0.22/0.52 thf(f458,plain,(
% 0.22/0.52 ($true = (~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ (good_in_maths @ Y0)))))))),
% 0.22/0.52 inference(definition_unfolding,[],[f375,f371,f397,f391])).
% 0.22/0.52 thf(f397,plain,(
% 0.22/0.52 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))),
% 0.22/0.52 inference(definition_unfolding,[],[f338,f385,f363,f385])).
% 0.22/0.52 thf(f338,plain,(
% 0.22/0.52 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f140])).
% 0.22/0.52 thf(f140,plain,(
% 0.22/0.52 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.22/0.52 inference(fool_elimination,[],[f139])).
% 0.22/0.52 thf(f139,plain,(
% 0.22/0.52 ((^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))) = mexists_ind)),
% 0.22/0.52 inference(rectify,[],[f12])).
% 0.22/0.52 thf(f12,axiom,(
% 0.22/0.52 ((^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))) = mexists_ind)),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',mexists_ind)).
% 0.22/0.52 thf(f375,plain,(
% 0.22/0.52 ($true = (~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox @ r2 @ (good_in_maths @ Y0)))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f147])).
% 0.22/0.52 thf(f147,plain,(
% 0.22/0.52 ($true = (~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox @ r2 @ (good_in_maths @ Y0)))))))),
% 0.22/0.52 inference(fool_elimination,[],[f146])).
% 0.22/0.52 thf(f146,plain,(
% 0.22/0.52 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r2 @ (good_in_maths @ X0)))))),
% 0.22/0.52 inference(rectify,[],[f99])).
% 0.22/0.52 thf(f99,negated_conjecture,(
% 0.22/0.52 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r2 @ (good_in_maths @ X0)))))),
% 0.22/0.52 inference(negated_conjecture,[],[f98])).
% 0.22/0.52 thf(f98,conjecture,(
% 0.22/0.52 (mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r2 @ (good_in_maths @ X0)))))),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',conj)).
% 0.22/0.52 thf(f603,plain,(
% 0.22/0.52 ( ! [X2 : $i > $o,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((~ (r3 @ X1 @ Y0)) | (X2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X1 @ Y0)) | (X2 @ Y0))))) = $true)) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f602])).
% 0.22/0.52 thf(f602,plain,(
% 0.22/0.52 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1)))))) @ X2))) )),
% 0.22/0.52 inference(pi_clausification,[],[f598])).
% 0.22/0.52 thf(f598,plain,(
% 0.22/0.52 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (r3 @ X1 @ Y1)) | (Y0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1))))))))) )),
% 0.22/0.52 inference(beta_eta_normalization,[],[f597])).
% 0.22/0.52 thf(f597,plain,(
% 0.22/0.52 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ X1))) )),
% 0.22/0.52 inference(pi_clausification,[],[f474])).
% 0.22/0.52 thf(f474,plain,(
% 0.22/0.52 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (r3 @ Y0 @ Y2)) | (Y1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))),
% 0.22/0.52 inference(beta_eta_normalization,[],[f455])).
% 0.22/0.52 thf(f455,plain,(
% 0.22/0.52 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r3 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0))))))),
% 0.22/0.52 inference(definition_unfolding,[],[f372,f371,f384,f393,f391,f391])).
% 0.22/0.52 thf(f372,plain,(
% 0.22/0.52 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r3 @ Y0) @ (mbox @ r2 @ Y0))))))),
% 0.22/0.52 inference(cnf_transformation,[],[f202])).
% 0.22/0.52 thf(f202,plain,(
% 0.22/0.52 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r3 @ Y0) @ (mbox @ r2 @ Y0))))))),
% 0.22/0.52 inference(fool_elimination,[],[f201])).
% 0.22/0.52 thf(f201,plain,(
% 0.22/0.52 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ r3 @ X0) @ (mbox @ r2 @ X0)))))),
% 0.22/0.52 inference(rectify,[],[f62])).
% 0.22/0.52 thf(f62,axiom,(
% 0.22/0.52 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ r3 @ X3) @ (mbox @ r2 @ X3)))))),
% 0.22/0.52 file('/export/starexec/sandbox/tmp/tmp.lZdYgRUgba/Vampire---4.8_27437',axiom_I_for_r3_r2)).
% 0.22/0.52 % SZS output end Proof for Vampire---4
% 0.22/0.52 % (27712)------------------------------
% 0.22/0.52 % (27712)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (27712)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (27712)Memory used [KB]: 6780
% 0.22/0.52 % (27712)Time elapsed: 0.128 s
% 0.22/0.52 % (27712)Instructions burned: 190 (million)
% 0.22/0.52 % (27712)------------------------------
% 0.22/0.52 % (27712)------------------------------
% 0.22/0.52 % (27700)Success in time 0.137 s
% 0.22/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------