TSTP Solution File: GEG018^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG018^1 : TPTP v8.1.2. Released v4.1.0.
% 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 : 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 : Sun May 5 05:08:22 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEG018^1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n024.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 19:49:38 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.22/0.37 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.cDP3FI5P61/Vampire---4.8_24948
% 0.22/0.40 % (25194)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.40 % (25191)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)
% 0.22/0.40 % (25193)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)
% 0.22/0.40 % (25192)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)
% 0.22/0.40 % (25195)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)
% 0.22/0.40 % (25196)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)
% 0.22/0.40 % (25197)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.40 % (25198)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)
% 0.22/0.40 % (25194)Instruction limit reached!
% 0.22/0.40 % (25194)------------------------------
% 0.22/0.40 % (25194)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25194)Termination reason: Unknown
% 0.22/0.40 % (25194)Termination phase: shuffling
% 0.22/0.40 % (25195)Instruction limit reached!
% 0.22/0.40 % (25195)------------------------------
% 0.22/0.40 % (25195)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40
% 0.22/0.40 % (25194)Memory used [KB]: 1023
% 0.22/0.40 % (25194)Time elapsed: 0.004 s
% 0.22/0.40 % (25194)Instructions burned: 3 (million)
% 0.22/0.40 % (25194)------------------------------
% 0.22/0.40 % (25194)------------------------------
% 0.22/0.40 % (25195)Termination reason: Unknown
% 0.22/0.40 % (25195)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (25195)Memory used [KB]: 1023
% 0.22/0.40 % (25195)Time elapsed: 0.004 s
% 0.22/0.40 % (25195)Instructions burned: 3 (million)
% 0.22/0.40 % (25195)------------------------------
% 0.22/0.40 % (25195)------------------------------
% 0.22/0.40 % (25198)Instruction limit reached!
% 0.22/0.40 % (25198)------------------------------
% 0.22/0.40 % (25198)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25198)Termination reason: Unknown
% 0.22/0.40 % (25198)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (25198)Memory used [KB]: 1023
% 0.22/0.40 % (25198)Time elapsed: 0.004 s
% 0.22/0.40 % (25198)Instructions burned: 3 (million)
% 0.22/0.40 % (25198)------------------------------
% 0.22/0.40 % (25198)------------------------------
% 0.22/0.40 % (25192)Instruction limit reached!
% 0.22/0.40 % (25192)------------------------------
% 0.22/0.40 % (25192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25192)Termination reason: Unknown
% 0.22/0.40 % (25192)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (25192)Memory used [KB]: 1151
% 0.22/0.40 % (25192)Time elapsed: 0.004 s
% 0.22/0.40 % (25192)Instructions burned: 5 (million)
% 0.22/0.40 % (25192)------------------------------
% 0.22/0.40 % (25192)------------------------------
% 0.22/0.40 % (25196)Refutation not found, incomplete strategy
% 0.22/0.40 % (25196)------------------------------
% 0.22/0.40 % (25196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (25196)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 % (25196)Memory used [KB]: 5628
% 0.22/0.40 % (25196)Time elapsed: 0.008 s
% 0.22/0.40 % (25196)Instructions burned: 10 (million)
% 0.22/0.40 % (25196)------------------------------
% 0.22/0.40 % (25196)------------------------------
% 0.22/0.41 % (25197)Instruction limit reached!
% 0.22/0.41 % (25197)------------------------------
% 0.22/0.41 % (25197)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (25197)Termination reason: Unknown
% 0.22/0.41 % (25197)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (25197)Memory used [KB]: 5628
% 0.22/0.41 % (25197)Time elapsed: 0.012 s
% 0.22/0.41 % (25197)Instructions burned: 19 (million)
% 0.22/0.41 % (25197)------------------------------
% 0.22/0.41 % (25197)------------------------------
% 0.22/0.41 % (25193)Instruction limit reached!
% 0.22/0.41 % (25193)------------------------------
% 0.22/0.41 % (25193)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (25193)Termination reason: Unknown
% 0.22/0.41 % (25193)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (25193)Memory used [KB]: 5756
% 0.22/0.41 % (25193)Time elapsed: 0.016 s
% 0.22/0.41 % (25193)Instructions burned: 28 (million)
% 0.22/0.41 % (25193)------------------------------
% 0.22/0.41 % (25193)------------------------------
% 0.22/0.41 % (25199)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 % (25200)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 % (25201)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 % (25202)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)
% 0.22/0.42 % (25201)Instruction limit reached!
% 0.22/0.42 % (25201)------------------------------
% 0.22/0.42 % (25201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (25201)Termination reason: Unknown
% 0.22/0.42 % (25201)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (25201)Memory used [KB]: 1023
% 0.22/0.42 % (25201)Time elapsed: 0.004 s
% 0.22/0.42 % (25201)Instructions burned: 4 (million)
% 0.22/0.42 % (25201)------------------------------
% 0.22/0.42 % (25201)------------------------------
% 0.22/0.42 % (25203)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 % (25200)Instruction limit reached!
% 0.22/0.42 % (25200)------------------------------
% 0.22/0.42 % (25200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (25200)Termination reason: Unknown
% 0.22/0.42 % (25200)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (25200)Memory used [KB]: 1151
% 0.22/0.42 % (25200)Time elapsed: 0.009 s
% 0.22/0.42 % (25200)Instructions burned: 15 (million)
% 0.22/0.42 % (25200)------------------------------
% 0.22/0.42 % (25200)------------------------------
% 0.22/0.42 % (25204)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 % (25203)Instruction limit reached!
% 0.22/0.42 % (25203)------------------------------
% 0.22/0.42 % (25203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (25203)Termination reason: Unknown
% 0.22/0.42 % (25203)Termination phase: SInE selection
% 0.22/0.42
% 0.22/0.42 % (25203)Memory used [KB]: 1151
% 0.22/0.42 % (25203)Time elapsed: 0.006 s
% 0.22/0.42 % (25203)Instructions burned: 8 (million)
% 0.22/0.42 % (25203)------------------------------
% 0.22/0.42 % (25203)------------------------------
% 0.22/0.43 % (25205)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 % (25205)Instruction limit reached!
% 0.22/0.43 % (25205)------------------------------
% 0.22/0.43 % (25205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (25205)Termination reason: Unknown
% 0.22/0.43 % (25205)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (25205)Memory used [KB]: 1023
% 0.22/0.43 % (25205)Time elapsed: 0.003 s
% 0.22/0.43 % (25205)Instructions burned: 3 (million)
% 0.22/0.43 % (25205)------------------------------
% 0.22/0.43 % (25205)------------------------------
% 0.22/0.43 % (25191)First to succeed.
% 0.22/0.43 % (25204)Instruction limit reached!
% 0.22/0.43 % (25204)------------------------------
% 0.22/0.43 % (25204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (25204)Termination reason: Unknown
% 0.22/0.43 % (25204)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (25204)Memory used [KB]: 5628
% 0.22/0.43 % (25204)Time elapsed: 0.010 s
% 0.22/0.43 % (25204)Instructions burned: 16 (million)
% 0.22/0.43 % (25204)------------------------------
% 0.22/0.43 % (25204)------------------------------
% 0.22/0.43 % (25206)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 % (25206)Instruction limit reached!
% 0.22/0.43 % (25206)------------------------------
% 0.22/0.43 % (25206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (25199)Instruction limit reached!
% 0.22/0.43 % (25199)------------------------------
% 0.22/0.43 % (25199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (25206)Termination reason: Unknown
% 0.22/0.43 % (25206)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (25206)Memory used [KB]: 1151
% 0.22/0.43 % (25206)Time elapsed: 0.004 s
% 0.22/0.43 % (25206)Instructions burned: 4 (million)
% 0.22/0.43 % (25206)------------------------------
% 0.22/0.43 % (25206)------------------------------
% 0.22/0.43 % (25199)Termination reason: Unknown
% 0.22/0.43 % (25199)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (25199)Memory used [KB]: 5756
% 0.22/0.43 % (25199)Time elapsed: 0.021 s
% 0.22/0.43 % (25199)Instructions burned: 37 (million)
% 0.22/0.43 % (25199)------------------------------
% 0.22/0.43 % (25199)------------------------------
% 0.22/0.43 % (25191)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% 0.22/0.43 thf(type_def_5, type, mu: $tType).
% 0.22/0.43 thf(type_def_7, type, reg: $tType).
% 0.22/0.43 thf(func_def_0, type, mu: $tType).
% 0.22/0.43 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.43 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.43 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.43 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_33, type, reg: $tType).
% 0.22/0.43 thf(func_def_34, type, c: reg > reg > $o).
% 0.22/0.43 thf(func_def_35, type, dc: reg > reg > $o).
% 0.22/0.43 thf(func_def_36, type, p: reg > reg > $o).
% 0.22/0.43 thf(func_def_37, type, eq: reg > reg > $o).
% 0.22/0.43 thf(func_def_38, type, o: reg > reg > $o).
% 0.22/0.43 thf(func_def_39, type, po: reg > reg > $o).
% 0.22/0.43 thf(func_def_40, type, ec: reg > reg > $o).
% 0.22/0.43 thf(func_def_41, type, pp: reg > reg > $o).
% 0.22/0.43 thf(func_def_42, type, tpp: reg > reg > $o).
% 0.22/0.43 thf(func_def_43, type, ntpp: reg > reg > $o).
% 0.22/0.43 thf(func_def_44, type, catalunya: reg).
% 0.22/0.43 thf(func_def_45, type, france: reg).
% 0.22/0.43 thf(func_def_46, type, spain: reg).
% 0.22/0.43 thf(func_def_47, type, paris: reg).
% 0.22/0.43 thf(func_def_48, type, a: $i > $i > $o).
% 0.22/0.43 thf(func_def_49, type, fool: $i > $i > $o).
% 0.22/0.43 thf(func_def_68, type, sK3: reg).
% 0.22/0.43 thf(func_def_69, type, sK4: reg > reg).
% 0.22/0.43 thf(func_def_70, type, sK5: reg > reg).
% 0.22/0.43 thf(func_def_71, type, sK6: reg > reg > reg).
% 0.22/0.43 thf(func_def_72, type, sK7: reg > reg).
% 0.22/0.43 thf(func_def_73, type, sK8: reg > reg).
% 0.22/0.43 thf(func_def_74, type, sK9: reg).
% 0.22/0.43 thf(func_def_75, type, sK10: reg > reg).
% 0.22/0.43 thf(func_def_76, type, sK11: reg > reg).
% 0.22/0.43 thf(func_def_77, type, sK12: reg > reg).
% 0.22/0.43 thf(func_def_78, type, sK13: $i > ($i > $o) > $i).
% 0.22/0.43 thf(func_def_79, type, sK14: $i > ($i > $o) > $i).
% 0.22/0.43 thf(func_def_80, type, sK15: reg).
% 0.22/0.43 thf(func_def_81, type, sK16: reg).
% 0.22/0.43 thf(func_def_82, type, sK17: reg > reg).
% 0.22/0.43 thf(func_def_83, type, sK18: reg > reg).
% 0.22/0.43 thf(func_def_84, type, sK19: reg > reg).
% 0.22/0.43 thf(func_def_85, type, sK20: reg > reg).
% 0.22/0.43 thf(func_def_86, type, sK21: reg > reg).
% 0.22/0.43 thf(func_def_87, type, sK22: $i > ($i > $o) > $i).
% 0.22/0.43 thf(f626,plain,(
% 0.22/0.43 $false),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f624])).
% 0.22/0.43 thf(f624,plain,(
% 0.22/0.43 ($false = $true)),
% 0.22/0.43 inference(superposition,[],[f240,f239])).
% 0.22/0.43 thf(f239,plain,(
% 0.22/0.43 ( ! [X1 : reg] : (((c @ (sK4 @ X1) @ sK3) = $false)) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f238])).
% 0.22/0.43 thf(f238,plain,(
% 0.22/0.43 ( ! [X1 : reg] : (($false = ((c @ (sK4 @ X1) @ X1) => (c @ (sK4 @ X1) @ sK3)))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f237])).
% 0.22/0.43 thf(f237,plain,(
% 0.22/0.43 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK3))) @ (sK4 @ X1)) = $false)) )),
% 0.22/0.43 inference(sigma_clausification,[],[f236])).
% 0.22/0.43 thf(f236,plain,(
% 0.22/0.43 ( ! [X1 : reg] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK3)))))) )),
% 0.22/0.43 inference(not_proxy_clausification,[],[f235])).
% 0.22/0.43 thf(f235,plain,(
% 0.22/0.43 ( ! [X1 : reg] : (($true = (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK3))))))) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f233])).
% 0.22/0.43 thf(f233,plain,(
% 0.22/0.43 ( ! [X1 : reg] : ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK3))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK3) => (c @ Y0 @ X1))))) = $true)) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f231])).
% 0.22/0.43 thf(f231,plain,(
% 0.22/0.43 ( ! [X1 : reg] : (($true = (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK3))))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK3) => (c @ Y0 @ X1))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ sK3) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ sK3))))))))) & ((c @ Y0 @ X1) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ X1)))))))))))))))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f230])).
% 0.22/0.43 thf(f230,plain,(
% 0.22/0.43 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK3))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ sK3) => (c @ Y1 @ Y0))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ sK3) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ sK3))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0))))))))))))))) @ X1))) )),
% 0.22/0.43 inference(pi_clausification,[],[f229])).
% 0.22/0.43 thf(f229,plain,(
% 0.22/0.43 ((!! @ reg @ (^[Y0 : reg]: (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK3))))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ sK3) => (c @ Y1 @ Y0))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ sK3) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ sK3))))))))) & ((c @ Y1 @ Y0) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y0)))))))))))))))) = $true)),
% 0.22/0.43 inference(beta_eta_normalization,[],[f228])).
% 0.22/0.43 thf(f228,plain,(
% 0.22/0.43 (((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ Y0) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y0))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1))))))))))))))))) @ sK3) = $true)),
% 0.22/0.43 inference(sigma_clausification,[],[f227])).
% 0.22/0.43 thf(f227,plain,(
% 0.22/0.43 ((?? @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ Y0) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y0))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1)))))))))))))))))) = $true)),
% 0.22/0.43 inference(not_proxy_clausification,[],[f226])).
% 0.22/0.43 thf(f226,plain,(
% 0.22/0.43 ($false = (~ (?? @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ Y0) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y0))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1))))))))))))))))))))),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f224])).
% 0.22/0.43 thf(f224,plain,(
% 0.22/0.43 ($false = ((~ (?? @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ Y0) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y0))))))))) & ((c @ Y2 @ Y1) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y1))))))))))))))))))) | (~ (fool @ sK1 @ sK2))))),
% 0.22/0.43 inference(beta_eta_normalization,[],[f223])).
% 0.22/0.43 thf(f223,plain,(
% 0.22/0.43 ($false = ((^[Y0 : $i]: ((~ (?? @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: (((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y1) => (c @ Y3 @ Y2))))) & (~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ Y1) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y1))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2))))))))))))))))))) | (~ (fool @ sK1 @ Y0)))) @ sK2))),
% 0.22/0.43 inference(sigma_clausification,[],[f222])).
% 0.22/0.43 thf(f222,plain,(
% 0.22/0.43 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (?? @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: (((~ (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y1) => (c @ Y3 @ Y2))))) & (~ (?? @ reg @ (^[Y3 : reg]: (((c @ Y3 @ Y1) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y1))))))))) & ((c @ Y3 @ Y2) & (~ (?? @ reg @ (^[Y4 : reg]: ((!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y3)))) & (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y4) => (c @ Y5 @ Y2))))))))))))))))))) | (~ (fool @ sK1 @ Y0))))))),
% 0.22/0.43 inference(beta_eta_normalization,[],[f221])).
% 0.22/0.43 thf(f221,plain,(
% 0.22/0.43 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (?? @ reg @ (^[Y2 : reg]: (!! @ reg @ (^[Y3 : reg]: (((~ (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))) & (~ (?? @ reg @ (^[Y4 : reg]: (((c @ Y4 @ Y2) & (~ (?? @ reg @ (^[Y5 : reg]: ((!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y5) => (c @ Y6 @ Y4)))) & (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y5) => (c @ Y6 @ Y2))))))))) & ((c @ Y4 @ Y3) & (~ (?? @ reg @ (^[Y5 : reg]: ((!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y5) => (c @ Y6 @ Y4)))) & (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y5) => (c @ Y6 @ Y3))))))))))))))))))) | (~ (fool @ Y0 @ Y1)))))) @ sK1))),
% 0.22/0.43 inference(sigma_clausification,[],[f220])).
% 0.22/0.43 thf(f220,plain,(
% 0.22/0.43 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (?? @ reg @ (^[Y2 : reg]: (!! @ reg @ (^[Y3 : reg]: (((~ (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))) & (~ (?? @ reg @ (^[Y4 : reg]: (((c @ Y4 @ Y2) & (~ (?? @ reg @ (^[Y5 : reg]: ((!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y5) => (c @ Y6 @ Y4)))) & (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y5) => (c @ Y6 @ Y2))))))))) & ((c @ Y4 @ Y3) & (~ (?? @ reg @ (^[Y5 : reg]: ((!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y5) => (c @ Y6 @ Y4)))) & (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y5) => (c @ Y6 @ Y3))))))))))))))))))) | (~ (fool @ Y0 @ Y1))))))) != $true)),
% 0.22/0.43 inference(beta_eta_normalization,[],[f219])).
% 0.22/0.43 thf(f219,plain,(
% 0.22/0.43 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ fool @ (^[Y0 : $i]: (~ (?? @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: ((~ ((^[Y7 : reg]: ((^[Y8 : reg]: (!! @ reg @ (^[Y9 : reg]: ((c @ Y9 @ Y7) => (c @ Y9 @ Y8))))))) @ Y6 @ Y5)) & ((^[Y7 : reg]: ((^[Y8 : reg]: (!! @ reg @ (^[Y9 : reg]: ((c @ Y9 @ Y7) => (c @ Y9 @ Y8))))))) @ Y5 @ Y6))))) @ Y3 @ Y4) & (~ (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: ((c @ Y6 @ Y7) & (~ ((^[Y8 : reg]: ((^[Y9 : reg]: (?? @ reg @ (^[Y10 : reg]: (((^[Y11 : reg]: ((^[Y12 : reg]: (!! @ reg @ (^[Y13 : reg]: ((c @ Y13 @ Y11) => (c @ Y13 @ Y12))))))) @ Y10 @ Y8) & ((^[Y11 : reg]: ((^[Y12 : reg]: (!! @ reg @ (^[Y13 : reg]: ((c @ Y13 @ Y11) => (c @ Y13 @ Y12))))))) @ Y10 @ Y9))))))) @ Y6 @ Y7)))))) @ Y5 @ Y3) & ((^[Y6 : reg]: ((^[Y7 : reg]: ((c @ Y6 @ Y7) & (~ ((^[Y8 : reg]: ((^[Y9 : reg]: (?? @ reg @ (^[Y10 : reg]: (((^[Y11 : reg]: ((^[Y12 : reg]: (!! @ reg @ (^[Y13 : reg]: ((c @ Y13 @ Y11) => (c @ Y13 @ Y12))))))) @ Y10 @ Y8) & ((^[Y11 : reg]: ((^[Y12 : reg]: (!! @ reg @ (^[Y13 : reg]: ((c @ Y13 @ Y11) => (c @ Y13 @ Y12))))))) @ Y10 @ Y9))))))) @ Y6 @ Y7)))))) @ Y5 @ Y4))))))))) @ Y1 @ Y2))))))))) != $true)),
% 0.22/0.43 inference(definition_unfolding,[],[f195,f166,f179,f212])).
% 0.22/0.43 thf(f212,plain,(
% 0.22/0.43 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: ((~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)) & ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3))))) @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1))))))))))),
% 0.22/0.43 inference(definition_unfolding,[],[f182,f210,f209,f209])).
% 0.22/0.43 thf(f209,plain,(
% 0.22/0.43 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y0 @ Y1)))))))),
% 0.22/0.43 inference(definition_unfolding,[],[f178,f207])).
% 0.22/0.43 thf(f207,plain,(
% 0.22/0.43 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1))))))))),
% 0.22/0.43 inference(definition_unfolding,[],[f159,f181,f181])).
% 0.22/0.43 thf(f181,plain,(
% 0.22/0.43 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f101])).
% 0.22/0.43 thf(f101,plain,(
% 0.22/0.43 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f100])).
% 0.22/0.43 thf(f100,plain,(
% 0.22/0.43 (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))),
% 0.22/0.43 inference(rectify,[],[f35])).
% 0.22/0.43 thf(f35,axiom,(
% 0.22/0.43 (p = (^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.cDP3FI5P61/Vampire---4.8_24948',p)).
% 0.22/0.43 thf(f159,plain,(
% 0.22/0.43 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f141])).
% 0.22/0.43 thf(f141,plain,(
% 0.22/0.43 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f140])).
% 0.22/0.43 thf(f140,plain,(
% 0.22/0.43 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))),
% 0.22/0.43 inference(rectify,[],[f37])).
% 0.22/0.43 thf(f37,axiom,(
% 0.22/0.43 (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.cDP3FI5P61/Vampire---4.8_24948',o)).
% 0.22/0.43 thf(f178,plain,(
% 0.22/0.43 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f113])).
% 0.22/0.43 thf(f113,plain,(
% 0.22/0.43 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 0.22/0.43 inference(fool_elimination,[],[f112])).
% 0.22/0.43 thf(f112,plain,(
% 0.22/0.43 ((^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))) = ec)),
% 0.22/0.43 inference(rectify,[],[f39])).
% 0.22/0.43 thf(f39,axiom,(
% 0.22/0.43 ((^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))) = ec)),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.cDP3FI5P61/Vampire---4.8_24948',ec)).
% 0.22/0.43 thf(f210,plain,(
% 0.22/0.43 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)) & ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1))))))),
% 0.22/0.43 inference(definition_unfolding,[],[f169,f181,f181])).
% 0.22/0.43 thf(f169,plain,(
% 0.22/0.43 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f70])).
% 0.22/0.43 thf(f70,plain,(
% 0.22/0.43 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (p @ Y1 @ Y0)) & (p @ Y0 @ Y1))))))),
% 0.22/0.43 inference(fool_elimination,[],[f69])).
% 0.22/0.43 thf(f69,plain,(
% 0.22/0.43 (pp = (^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))))),
% 0.22/0.43 inference(rectify,[],[f40])).
% 0.22/0.43 thf(f40,axiom,(
% 0.22/0.43 (pp = (^[X0 : reg, X1 : reg] : ((p @ X0 @ X1) & ~(p @ X1 @ X0))))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.cDP3FI5P61/Vampire---4.8_24948',pp)).
% 0.22/0.43 thf(f182,plain,(
% 0.22/0.43 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f63])).
% 0.22/0.43 thf(f63,plain,(
% 0.22/0.43 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f62])).
% 0.22/0.43 thf(f62,plain,(
% 0.22/0.43 ((^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))) = ntpp)),
% 0.22/0.43 inference(rectify,[],[f42])).
% 0.22/0.43 thf(f42,axiom,(
% 0.22/0.43 ((^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))) = ntpp)),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.cDP3FI5P61/Vampire---4.8_24948',ntpp)).
% 0.22/0.43 thf(f179,plain,(
% 0.22/0.43 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f68])).
% 0.22/0.43 thf(f68,plain,(
% 0.22/0.43 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f67])).
% 0.22/0.43 thf(f67,plain,(
% 0.22/0.43 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))))),
% 0.22/0.43 inference(rectify,[],[f16])).
% 0.22/0.43 thf(f16,axiom,(
% 0.22/0.43 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.cDP3FI5P61/Vampire---4.8_24948',mbox)).
% 0.22/0.43 thf(f166,plain,(
% 0.22/0.43 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.43 inference(cnf_transformation,[],[f55])).
% 0.22/0.43 thf(f55,plain,(
% 0.22/0.43 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.43 inference(fool_elimination,[],[f54])).
% 0.22/0.43 thf(f54,plain,(
% 0.22/0.43 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.22/0.43 inference(rectify,[],[f28])).
% 0.22/0.43 thf(f28,axiom,(
% 0.22/0.43 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.cDP3FI5P61/Vampire---4.8_24948',mvalid)).
% 0.22/0.43 thf(f195,plain,(
% 0.22/0.43 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (~ (?? @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: (ntpp @ Y1 @ Y2))))))))) != $true)),
% 0.22/0.43 inference(cnf_transformation,[],[f146])).
% 0.22/0.43 thf(f146,plain,(
% 0.22/0.43 ((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (~ (?? @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: (ntpp @ Y1 @ Y2))))))))) != $true)),
% 0.22/0.43 inference(flattening,[],[f125])).
% 0.22/0.43 thf(f125,plain,(
% 0.22/0.43 ~((mvalid @ (mbox @ fool @ (^[Y0 : $i]: (~ (?? @ reg @ (^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: (ntpp @ Y1 @ Y2))))))))) = $true)),
% 0.22/0.43 inference(fool_elimination,[],[f124])).
% 0.22/0.43 thf(f124,plain,(
% 0.22/0.43 ~(mvalid @ (mbox @ fool @ (^[X0 : $i] : (~? [X1 : reg] : ! [X2 : reg] : (ntpp @ X1 @ X2)))))),
% 0.22/0.43 inference(rectify,[],[f50])).
% 0.22/0.43 thf(f50,negated_conjecture,(
% 0.22/0.43 ~(mvalid @ (mbox @ fool @ (^[X0 : $i] : (~? [X11 : reg] : ! [X1 : reg] : (ntpp @ X11 @ X1)))))),
% 0.22/0.43 inference(negated_conjecture,[],[f49])).
% 0.22/0.43 thf(f49,conjecture,(
% 0.22/0.43 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (~? [X11 : reg] : ! [X1 : reg] : (ntpp @ X11 @ X1)))))),
% 0.22/0.43 file('/export/starexec/sandbox/tmp/tmp.cDP3FI5P61/Vampire---4.8_24948',con)).
% 0.22/0.43 thf(f240,plain,(
% 0.22/0.43 ( ! [X1 : reg] : (((c @ (sK4 @ X1) @ X1) = $true)) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f238])).
% 0.22/0.43 % SZS output end Proof for Vampire---4
% 0.22/0.43 % (25191)------------------------------
% 0.22/0.43 % (25191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (25191)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (25191)Memory used [KB]: 6268
% 0.22/0.43 % (25191)Time elapsed: 0.037 s
% 0.22/0.43 % (25191)Instructions burned: 57 (million)
% 0.22/0.43 % (25191)------------------------------
% 0.22/0.43 % (25191)------------------------------
% 0.22/0.43 % (25190)Success in time 0.036 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------