TSTP Solution File: AGT028^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT028^2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 0.23s 0.42s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : AGT028^2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:22:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 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/sandbox2/tmp/tmp.BQ0RbLvdYj/Vampire---4.8_3616
% 0.15/0.39 % (3812)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)
% 0.15/0.39 % (3808)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)
% 0.15/0.39 % (3813)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)
% 0.15/0.39 % (3809)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)
% 0.15/0.39 % (3815)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)
% 0.15/0.39 % (3810)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)
% 0.15/0.39 % (3814)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.39 % (3812)Instruction limit reached!
% 0.15/0.39 % (3812)------------------------------
% 0.15/0.39 % (3812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (3812)Termination reason: Unknown
% 0.15/0.39 % (3812)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (3812)Memory used [KB]: 1023
% 0.15/0.39 % (3812)Time elapsed: 0.004 s
% 0.15/0.39 % (3812)Instructions burned: 3 (million)
% 0.15/0.39 % (3812)------------------------------
% 0.15/0.39 % (3812)------------------------------
% 0.15/0.39 % (3815)Instruction limit reached!
% 0.15/0.39 % (3815)------------------------------
% 0.15/0.39 % (3815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (3815)Termination reason: Unknown
% 0.15/0.39 % (3815)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (3815)Memory used [KB]: 1023
% 0.15/0.39 % (3815)Time elapsed: 0.003 s
% 0.15/0.39 % (3815)Instructions burned: 3 (million)
% 0.15/0.39 % (3815)------------------------------
% 0.15/0.39 % (3815)------------------------------
% 0.15/0.39 % (3809)Instruction limit reached!
% 0.15/0.39 % (3809)------------------------------
% 0.15/0.39 % (3809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (3809)Termination reason: Unknown
% 0.15/0.39 % (3809)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (3809)Memory used [KB]: 1151
% 0.15/0.39 % (3809)Time elapsed: 0.004 s
% 0.15/0.39 % (3809)Instructions burned: 4 (million)
% 0.15/0.39 % (3809)------------------------------
% 0.15/0.39 % (3809)------------------------------
% 0.15/0.40 % (3813)Refutation not found, incomplete strategy
% 0.15/0.40 % (3813)------------------------------
% 0.15/0.40 % (3813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (3813)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40
% 0.15/0.40
% 0.15/0.40 % (3813)Memory used [KB]: 5628
% 0.15/0.40 % (3813)Time elapsed: 0.009 s
% 0.15/0.40 % (3813)Instructions burned: 13 (million)
% 0.15/0.40 % (3813)------------------------------
% 0.15/0.40 % (3813)------------------------------
% 0.15/0.40 % (3814)Instruction limit reached!
% 0.15/0.40 % (3814)------------------------------
% 0.15/0.40 % (3814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (3814)Termination reason: Unknown
% 0.15/0.40 % (3814)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (3814)Memory used [KB]: 1151
% 0.15/0.40 % (3814)Time elapsed: 0.011 s
% 0.15/0.40 % (3814)Instructions burned: 19 (million)
% 0.15/0.40 % (3814)------------------------------
% 0.15/0.40 % (3814)------------------------------
% 0.15/0.40 % (3810)Instruction limit reached!
% 0.15/0.40 % (3810)------------------------------
% 0.15/0.40 % (3810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (3810)Termination reason: Unknown
% 0.15/0.40 % (3810)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (3810)Memory used [KB]: 5756
% 0.15/0.40 % (3810)Time elapsed: 0.016 s
% 0.15/0.40 % (3810)Instructions burned: 28 (million)
% 0.15/0.40 % (3810)------------------------------
% 0.15/0.40 % (3810)------------------------------
% 0.15/0.40 % (3817)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)
% 0.15/0.40 % (3816)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)
% 0.15/0.41 % (3818)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)
% 0.15/0.41 % (3811)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.41 % (3811)Instruction limit reached!
% 0.15/0.41 % (3811)------------------------------
% 0.15/0.41 % (3811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (3811)Termination reason: Unknown
% 0.15/0.41 % (3811)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (3811)Memory used [KB]: 1023
% 0.15/0.41 % (3811)Time elapsed: 0.004 s
% 0.15/0.41 % (3811)Instructions burned: 2 (million)
% 0.15/0.41 % (3811)------------------------------
% 0.15/0.41 % (3811)------------------------------
% 0.15/0.41 % (3819)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)
% 0.15/0.41 % (3818)Instruction limit reached!
% 0.15/0.41 % (3818)------------------------------
% 0.15/0.41 % (3818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (3818)Termination reason: Unknown
% 0.15/0.41 % (3818)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (3818)Memory used [KB]: 1023
% 0.15/0.41 % (3818)Time elapsed: 0.004 s
% 0.15/0.41 % (3818)Instructions burned: 3 (million)
% 0.15/0.41 % (3818)------------------------------
% 0.15/0.41 % (3818)------------------------------
% 0.23/0.41 % (3817)Instruction limit reached!
% 0.23/0.41 % (3817)------------------------------
% 0.23/0.41 % (3817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (3817)Termination reason: Unknown
% 0.23/0.41 % (3817)Termination phase: Property scanning
% 0.23/0.41
% 0.23/0.41 % (3817)Memory used [KB]: 1151
% 0.23/0.41 % (3817)Time elapsed: 0.010 s
% 0.23/0.41 % (3817)Instructions burned: 17 (million)
% 0.23/0.41 % (3820)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)
% 0.23/0.41 % (3817)------------------------------
% 0.23/0.41 % (3817)------------------------------
% 0.23/0.42 % (3820)Instruction limit reached!
% 0.23/0.42 % (3820)------------------------------
% 0.23/0.42 % (3820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (3820)Termination reason: Unknown
% 0.23/0.42 % (3820)Termination phase: Property scanning
% 0.23/0.42
% 0.23/0.42 % (3820)Memory used [KB]: 1151
% 0.23/0.42 % (3820)Time elapsed: 0.006 s
% 0.23/0.42 % (3820)Instructions burned: 8 (million)
% 0.23/0.42 % (3820)------------------------------
% 0.23/0.42 % (3820)------------------------------
% 0.23/0.42 % (3821)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)
% 0.23/0.42 % (3808)First to succeed.
% 0.23/0.42 % (3822)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)
% 0.23/0.42 % (3816)Instruction limit reached!
% 0.23/0.42 % (3816)------------------------------
% 0.23/0.42 % (3816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (3816)Termination reason: Unknown
% 0.23/0.42 % (3816)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (3816)Memory used [KB]: 5884
% 0.23/0.42 % (3816)Time elapsed: 0.020 s
% 0.23/0.42 % (3816)Instructions burned: 37 (million)
% 0.23/0.42 % (3816)------------------------------
% 0.23/0.42 % (3816)------------------------------
% 0.23/0.42 % (3822)Instruction limit reached!
% 0.23/0.42 % (3822)------------------------------
% 0.23/0.42 % (3822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (3808)Refutation found. Thanks to Tanya!
% 0.23/0.42 % SZS status Theorem for Vampire---4
% 0.23/0.42 % SZS output start Proof for Vampire---4
% 0.23/0.42 thf(type_def_5, type, mu: $tType).
% 0.23/0.42 thf(func_def_0, type, mu: $tType).
% 0.23/0.42 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.23/0.42 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_15, type, mtrue: $i > $o).
% 0.23/0.42 thf(func_def_16, type, mfalse: $i > $o).
% 0.23/0.42 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.42 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.23/0.42 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.23/0.42 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.23/0.42 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.23/0.42 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.23/0.42 thf(func_def_33, type, r1: $i > $i > $o).
% 0.23/0.42 thf(func_def_34, type, r2: $i > $i > $o).
% 0.23/0.42 thf(func_def_35, type, r3: $i > $i > $o).
% 0.23/0.42 thf(func_def_36, type, r4: $i > $i > $o).
% 0.23/0.42 thf(func_def_37, type, r5: $i > $i > $o).
% 0.23/0.42 thf(func_def_38, type, john: mu).
% 0.23/0.42 thf(func_def_39, type, tom: mu).
% 0.23/0.42 thf(func_def_40, type, peter: mu).
% 0.23/0.42 thf(func_def_41, type, mike: mu).
% 0.23/0.42 thf(func_def_42, type, good_in_maths: mu > $i > $o).
% 0.23/0.42 thf(func_def_43, type, maths_teacher: mu > $i > $o).
% 0.23/0.42 thf(func_def_44, type, mathematician: mu > $i > $o).
% 0.23/0.42 thf(func_def_45, type, maths_student: mu > $i > $o).
% 0.23/0.42 thf(func_def_46, type, good_in_physics: mu > $i > $o).
% 0.23/0.42 thf(func_def_47, type, physics_student: mu > $i > $o).
% 0.23/0.42 thf(func_def_64, type, sK1: $i > mu > $i).
% 0.23/0.42 thf(func_def_65, type, sK2: $i > mu > $i).
% 0.23/0.42 thf(func_def_66, type, sK3: $i > mu > $i).
% 0.23/0.42 thf(func_def_67, type, sK4: $i > mu > $i).
% 0.23/0.42 thf(func_def_68, type, sK5: $i > mu > $i).
% 0.23/0.42 thf(func_def_69, type, sK6: $i > mu > $i).
% 0.23/0.42 thf(func_def_70, type, sK7: $i > mu > $i).
% 0.23/0.42 thf(func_def_71, type, sK8: $i > mu > $i).
% 0.23/0.42 thf(func_def_72, type, sK9: $i > mu > $i).
% 0.23/0.42 thf(func_def_74, type, sK11: mu > $i).
% 0.23/0.42 thf(func_def_75, type, sK12: $i > mu > $i).
% 0.23/0.42 thf(func_def_76, type, sK13: $i > mu > $i).
% 0.23/0.42 thf(func_def_77, type, sK14: $i > mu > $i).
% 0.23/0.42 thf(func_def_78, type, sK15: $i > mu > $i).
% 0.23/0.42 thf(func_def_79, type, sK16: $i > mu > $i).
% 0.23/0.42 thf(func_def_80, type, sK17: $i > mu > $i).
% 0.23/0.42 thf(func_def_81, type, sK18: $i > mu > $i).
% 0.23/0.42 thf(f607,plain,(
% 0.23/0.42 $false),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f606])).
% 0.23/0.42 thf(f606,plain,(
% 0.23/0.42 ($false = $true)),
% 0.23/0.42 inference(superposition,[],[f317,f604])).
% 0.23/0.42 thf(f604,plain,(
% 0.23/0.42 ( ! [X0 : mu] : (($false = (maths_teacher @ X0 @ sK10))) )),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f602])).
% 0.23/0.42 thf(f602,plain,(
% 0.23/0.42 ( ! [X0 : mu] : (($false = (maths_teacher @ X0 @ sK10)) | ($false = $true)) )),
% 0.23/0.42 inference(superposition,[],[f440,f600])).
% 0.23/0.42 thf(f600,plain,(
% 0.23/0.42 ( ! [X0 : mu,X1 : $i] : (($false = (r4 @ X1 @ (sK11 @ X0))) | ($false = (maths_teacher @ X0 @ X1))) )),
% 0.23/0.42 inference(trivial_inequality_removal,[],[f597])).
% 0.23/0.42 thf(f597,plain,(
% 0.23/0.42 ( ! [X0 : mu,X1 : $i] : (($false = (maths_teacher @ X0 @ X1)) | ($false = $true) | ($false = (r4 @ X1 @ (sK11 @ X0)))) )),
% 0.23/0.42 inference(superposition,[],[f373,f439])).
% 0.23/0.42 thf(f439,plain,(
% 0.23/0.42 ( ! [X1 : mu] : (($false = (good_in_maths @ X1 @ (sK11 @ X1)))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f437])).
% 0.23/0.42 thf(f437,plain,(
% 0.23/0.42 ( ! [X1 : mu] : (($false = ((good_in_maths @ X1 @ (sK11 @ X1)) | (~ (r4 @ sK10 @ (sK11 @ X1)))))) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f436])).
% 0.23/0.42 thf(f436,plain,(
% 0.23/0.42 ( ! [X1 : mu] : (($false = ((^[Y0 : $i]: ((good_in_maths @ X1 @ Y0) | (~ (r4 @ sK10 @ Y0)))) @ (sK11 @ X1)))) )),
% 0.23/0.42 inference(sigma_clausification,[],[f435])).
% 0.23/0.42 thf(f435,plain,(
% 0.23/0.42 ( ! [X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((good_in_maths @ X1 @ Y0) | (~ (r4 @ sK10 @ Y0))))))) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f434])).
% 0.23/0.42 thf(f434,plain,(
% 0.23/0.42 ( ! [X1 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((good_in_maths @ X1 @ Y0) | (~ (r4 @ sK10 @ Y0)))))))) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f433])).
% 0.23/0.42 thf(f433,plain,(
% 0.23/0.42 ( ! [X1 : mu] : ((((^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((good_in_maths @ Y0 @ Y1) | (~ (r4 @ sK10 @ Y1))))))) @ X1) = $true)) )),
% 0.23/0.42 inference(pi_clausification,[],[f432])).
% 0.23/0.42 thf(f432,plain,(
% 0.23/0.42 ($true = (!! @ mu @ (^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((good_in_maths @ Y0 @ Y1) | (~ (r4 @ sK10 @ Y1)))))))))),
% 0.23/0.42 inference(not_proxy_clausification,[],[f431])).
% 0.23/0.42 thf(f431,plain,(
% 0.23/0.42 ($false = (~ (!! @ mu @ (^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((good_in_maths @ Y0 @ Y1) | (~ (r4 @ sK10 @ Y1))))))))))),
% 0.23/0.42 inference(beta_eta_normalization,[],[f430])).
% 0.23/0.42 thf(f430,plain,(
% 0.23/0.42 ($false = ((^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((good_in_maths @ Y1 @ Y2) | (~ (r4 @ Y0 @ Y2)))))))))) @ sK10))),
% 0.23/0.42 inference(sigma_clausification,[],[f429])).
% 0.23/0.42 thf(f429,plain,(
% 0.23/0.42 ($true != (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((good_in_maths @ Y1 @ Y2) | (~ (r4 @ Y0 @ Y2))))))))))))),
% 0.23/0.42 inference(beta_eta_normalization,[],[f222])).
% 0.23/0.42 thf(f222,plain,(
% 0.23/0.42 ($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]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ r4 @ (good_in_maths @ Y0))))))),
% 0.23/0.42 inference(definition_unfolding,[],[f160,f193,f217,f211])).
% 0.23/0.42 thf(f211,plain,(
% 0.23/0.42 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f72])).
% 0.23/0.42 thf(f72,plain,(
% 0.23/0.42 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.23/0.42 inference(fool_elimination,[],[f71])).
% 0.23/0.42 thf(f71,plain,(
% 0.23/0.42 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 0.23/0.42 inference(rectify,[],[f16])).
% 0.23/0.42 thf(f16,axiom,(
% 0.23/0.42 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 0.23/0.42 file('/export/starexec/sandbox2/tmp/tmp.BQ0RbLvdYj/Vampire---4.8_3616',mbox)).
% 0.23/0.42 thf(f217,plain,(
% 0.23/0.42 (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)))))))),
% 0.23/0.42 inference(definition_unfolding,[],[f167,f168,f179,f168])).
% 0.23/0.42 thf(f179,plain,(
% 0.23/0.42 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f63])).
% 0.23/0.42 thf(f63,plain,(
% 0.23/0.42 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.23/0.42 inference(fool_elimination,[],[f62])).
% 0.23/0.42 thf(f62,plain,(
% 0.23/0.42 (mforall_ind = (^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))))),
% 0.23/0.42 inference(rectify,[],[f10])).
% 0.23/0.42 thf(f10,axiom,(
% 0.23/0.42 (mforall_ind = (^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))))),
% 0.23/0.42 file('/export/starexec/sandbox2/tmp/tmp.BQ0RbLvdYj/Vampire---4.8_3616',mforall_ind)).
% 0.23/0.42 thf(f168,plain,(
% 0.23/0.42 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f112])).
% 0.23/0.42 thf(f112,plain,(
% 0.23/0.42 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.42 inference(fool_elimination,[],[f111])).
% 0.23/0.42 thf(f111,plain,(
% 0.23/0.42 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.23/0.42 inference(rectify,[],[f3])).
% 0.23/0.42 thf(f3,axiom,(
% 0.23/0.42 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.23/0.42 file('/export/starexec/sandbox2/tmp/tmp.BQ0RbLvdYj/Vampire---4.8_3616',mnot)).
% 0.23/0.42 thf(f167,plain,(
% 0.23/0.42 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f134])).
% 0.23/0.42 thf(f134,plain,(
% 0.23/0.42 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.23/0.42 inference(fool_elimination,[],[f133])).
% 0.23/0.42 thf(f133,plain,(
% 0.23/0.42 (mexists_ind = (^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))))),
% 0.23/0.42 inference(rectify,[],[f12])).
% 0.23/0.42 thf(f12,axiom,(
% 0.23/0.42 (mexists_ind = (^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))))),
% 0.23/0.42 file('/export/starexec/sandbox2/tmp/tmp.BQ0RbLvdYj/Vampire---4.8_3616',mexists_ind)).
% 0.23/0.42 thf(f193,plain,(
% 0.23/0.42 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.42 inference(cnf_transformation,[],[f98])).
% 0.23/0.42 thf(f98,plain,(
% 0.23/0.42 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.42 inference(fool_elimination,[],[f97])).
% 0.23/0.42 thf(f97,plain,(
% 0.23/0.42 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.23/0.42 inference(rectify,[],[f28])).
% 0.23/0.42 thf(f28,axiom,(
% 0.23/0.42 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.23/0.42 file('/export/starexec/sandbox2/tmp/tmp.BQ0RbLvdYj/Vampire---4.8_3616',mvalid)).
% 0.23/0.42 thf(f160,plain,(
% 0.23/0.42 ((mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox @ r4 @ (good_in_maths @ Y0))))) != $true)),
% 0.23/0.42 inference(cnf_transformation,[],[f158])).
% 0.23/0.42 thf(f158,plain,(
% 0.23/0.42 ((mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox @ r4 @ (good_in_maths @ Y0))))) != $true)),
% 0.23/0.42 inference(flattening,[],[f118])).
% 0.23/0.42 thf(f118,plain,(
% 0.23/0.42 ~((mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox @ r4 @ (good_in_maths @ Y0))))) = $true)),
% 0.23/0.42 inference(fool_elimination,[],[f117])).
% 0.23/0.42 thf(f117,plain,(
% 0.23/0.42 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r4 @ (good_in_maths @ X0)))))),
% 0.23/0.42 inference(rectify,[],[f54])).
% 0.23/0.42 thf(f54,negated_conjecture,(
% 0.23/0.42 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r4 @ (good_in_maths @ X0)))))),
% 0.23/0.42 inference(negated_conjecture,[],[f53])).
% 0.23/0.42 thf(f53,conjecture,(
% 0.23/0.42 (mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r4 @ (good_in_maths @ X0)))))),
% 0.23/0.42 file('/export/starexec/sandbox2/tmp/tmp.BQ0RbLvdYj/Vampire---4.8_3616',conj)).
% 0.23/0.42 thf(f373,plain,(
% 0.23/0.42 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = (good_in_maths @ X2 @ X3)) | ($false = (maths_teacher @ X2 @ X1)) | ($false = (r4 @ X1 @ X3))) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f372])).
% 0.23/0.42 thf(f372,plain,(
% 0.23/0.42 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($true = (good_in_maths @ X2 @ X3)) | ($false = (maths_teacher @ X2 @ X1)) | ($true = (~ (r4 @ X1 @ X3)))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f371])).
% 0.23/0.42 thf(f371,plain,(
% 0.23/0.42 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($false = (maths_teacher @ X2 @ X1)) | ($true = ((good_in_maths @ X2 @ X3) | (~ (r4 @ X1 @ X3))))) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f370])).
% 0.23/0.42 thf(f370,plain,(
% 0.23/0.42 ( ! [X2 : mu,X3 : $i,X1 : $i] : (($false = (maths_teacher @ X2 @ X1)) | ($true = ((^[Y0 : $i]: ((good_in_maths @ X2 @ Y0) | (~ (r4 @ X1 @ Y0)))) @ X3))) )),
% 0.23/0.42 inference(pi_clausification,[],[f369])).
% 0.23/0.42 thf(f369,plain,(
% 0.23/0.42 ( ! [X2 : mu,X1 : $i] : (($false = (maths_teacher @ X2 @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((good_in_maths @ X2 @ Y0) | (~ (r4 @ X1 @ Y0))))))) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f368])).
% 0.23/0.42 thf(f368,plain,(
% 0.23/0.42 ( ! [X2 : mu,X1 : $i] : (((~ (maths_teacher @ X2 @ X1)) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((good_in_maths @ X2 @ Y0) | (~ (r4 @ X1 @ Y0))))))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f367])).
% 0.23/0.42 thf(f367,plain,(
% 0.23/0.42 ( ! [X2 : mu,X1 : $i] : (($true = ((~ (maths_teacher @ X2 @ X1)) | (!! @ $i @ (^[Y0 : $i]: ((good_in_maths @ X2 @ Y0) | (~ (r4 @ X1 @ Y0)))))))) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f366])).
% 0.23/0.42 thf(f366,plain,(
% 0.23/0.42 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((~ (maths_teacher @ Y0 @ X1)) | (!! @ $i @ (^[Y1 : $i]: ((good_in_maths @ Y0 @ Y1) | (~ (r4 @ X1 @ Y1))))))) @ X2))) )),
% 0.23/0.42 inference(pi_clausification,[],[f365])).
% 0.23/0.42 thf(f365,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((~ (maths_teacher @ Y0 @ X1)) | (!! @ $i @ (^[Y1 : $i]: ((good_in_maths @ Y0 @ Y1) | (~ (r4 @ X1 @ Y1)))))))))) )),
% 0.23/0.42 inference(beta_eta_normalization,[],[f364])).
% 0.23/0.42 thf(f364,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: ((~ (maths_teacher @ Y1 @ Y0)) | (!! @ $i @ (^[Y2 : $i]: ((good_in_maths @ Y1 @ Y2) | (~ (r4 @ Y0 @ Y2))))))))) @ X1))) )),
% 0.23/0.42 inference(pi_clausification,[],[f363])).
% 0.23/0.42 thf(f363,plain,(
% 0.23/0.42 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: ((~ (maths_teacher @ Y1 @ Y0)) | (!! @ $i @ (^[Y2 : $i]: ((good_in_maths @ Y1 @ Y2) | (~ (r4 @ Y0 @ Y2)))))))))))),
% 0.23/0.42 inference(beta_eta_normalization,[],[f230])).
% 0.23/0.42 thf(f230,plain,(
% 0.23/0.42 ($true = ((^[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]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ r4 @ (good_in_maths @ Y0)))))))),
% 0.23/0.42 inference(definition_unfolding,[],[f183,f193,f179,f213,f211])).
% 0.23/0.42 thf(f213,plain,(
% 0.23/0.42 (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)))))),
% 0.23/0.42 inference(definition_unfolding,[],[f191,f209,f168])).
% 0.23/0.42 thf(f209,plain,(
% 0.23/0.42 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f104])).
% 0.23/0.42 thf(f104,plain,(
% 0.23/0.42 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.23/0.42 inference(fool_elimination,[],[f103])).
% 0.23/0.42 thf(f103,plain,(
% 0.23/0.42 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.23/0.42 inference(rectify,[],[f4])).
% 0.23/0.42 thf(f4,axiom,(
% 0.23/0.42 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 0.23/0.42 file('/export/starexec/sandbox2/tmp/tmp.BQ0RbLvdYj/Vampire---4.8_3616',mor)).
% 0.23/0.42 thf(f191,plain,(
% 0.23/0.42 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.23/0.42 inference(cnf_transformation,[],[f94])).
% 0.23/0.42 thf(f94,plain,(
% 0.23/0.42 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.23/0.42 inference(fool_elimination,[],[f93])).
% 0.23/0.42 thf(f93,plain,(
% 0.23/0.42 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.23/0.42 inference(rectify,[],[f6])).
% 0.23/0.42 thf(f6,axiom,(
% 0.23/0.42 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.23/0.42 file('/export/starexec/sandbox2/tmp/tmp.BQ0RbLvdYj/Vampire---4.8_3616',mimplies)).
% 0.23/0.42 thf(f183,plain,(
% 0.23/0.42 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mimplies @ (maths_teacher @ Y0) @ (mbox @ r4 @ (good_in_maths @ Y0)))))))),
% 0.23/0.42 inference(cnf_transformation,[],[f67])).
% 0.23/0.42 thf(f67,plain,(
% 0.23/0.42 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mimplies @ (maths_teacher @ Y0) @ (mbox @ r4 @ (good_in_maths @ Y0)))))))),
% 0.23/0.42 inference(fool_elimination,[],[f66])).
% 0.23/0.42 thf(f66,plain,(
% 0.23/0.42 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mimplies @ (maths_teacher @ X0) @ (mbox @ r4 @ (good_in_maths @ X0))))))),
% 0.23/0.42 inference(rectify,[],[f32])).
% 0.23/0.42 thf(f32,axiom,(
% 0.23/0.42 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mimplies @ (maths_teacher @ X0) @ (mbox @ r4 @ (good_in_maths @ X0))))))),
% 0.23/0.42 file('/export/starexec/sandbox2/tmp/tmp.BQ0RbLvdYj/Vampire---4.8_3616',axiom_r1)).
% 0.23/0.42 thf(f440,plain,(
% 0.23/0.42 ( ! [X1 : mu] : (($true = (r4 @ sK10 @ (sK11 @ X1)))) )),
% 0.23/0.42 inference(not_proxy_clausification,[],[f438])).
% 0.23/0.42 thf(f438,plain,(
% 0.23/0.42 ( ! [X1 : mu] : (($false = (~ (r4 @ sK10 @ (sK11 @ X1))))) )),
% 0.23/0.42 inference(binary_proxy_clausification,[],[f437])).
% 0.23/0.42 thf(f317,plain,(
% 0.23/0.42 ( ! [X1 : $i] : (($true = (maths_teacher @ john @ X1))) )),
% 0.23/0.42 inference(pi_clausification,[],[f316])).
% 0.23/0.42 thf(f316,plain,(
% 0.23/0.42 ($true = (!! @ $i @ (maths_teacher @ john)))),
% 0.23/0.42 inference(beta_eta_normalization,[],[f224])).
% 0.23/0.42 thf(f224,plain,(
% 0.23/0.42 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (maths_teacher @ john)))),
% 0.23/0.42 inference(definition_unfolding,[],[f164,f193])).
% 0.23/0.42 thf(f164,plain,(
% 0.23/0.42 ((mvalid @ (maths_teacher @ john)) = $true)),
% 0.23/0.42 inference(cnf_transformation,[],[f122])).
% 0.23/0.42 thf(f122,plain,(
% 0.23/0.42 ((mvalid @ (maths_teacher @ john)) = $true)),
% 0.23/0.42 inference(fool_elimination,[],[f121])).
% 0.23/0.42 thf(f121,plain,(
% 0.23/0.42 (mvalid @ (maths_teacher @ john))),
% 0.23/0.42 inference(rectify,[],[f49])).
% 0.23/0.42 thf(f49,axiom,(
% 0.23/0.42 (mvalid @ (maths_teacher @ john))),
% 0.23/0.42 file('/export/starexec/sandbox2/tmp/tmp.BQ0RbLvdYj/Vampire---4.8_3616',axiom_a6)).
% 0.23/0.42 % SZS output end Proof for Vampire---4
% 0.23/0.42 % (3808)------------------------------
% 0.23/0.42 % (3808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (3808)Termination reason: Refutation
% 0.23/0.42
% 0.23/0.42 % (3808)Memory used [KB]: 6140
% 0.23/0.42 % (3808)Time elapsed: 0.035 s
% 0.23/0.42 % (3808)Instructions burned: 60 (million)
% 0.23/0.42 % (3808)------------------------------
% 0.23/0.42 % (3808)------------------------------
% 0.23/0.42 % (3807)Success in time 0.047 s
% 0.23/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------