TSTP Solution File: COM194^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM194^1 : TPTP v8.2.0. Released v7.0.0.
% 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 : n028.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 : Mon May 20 19:11:03 EDT 2024

% Result   : Theorem 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : COM194^1 : TPTP v8.2.0. Released v7.0.0.
% 0.10/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 10:23:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH1_THM_EQU_NAR problem
% 0.14/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  % (19274)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.39  % (19267)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39  % (19268)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.39  % (19269)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.39  % (19270)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39  % (19271)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39  % (19272)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.39  % (19274)Instruction limit reached!
% 0.14/0.39  % (19274)------------------------------
% 0.14/0.39  % (19274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (19274)Termination reason: Unknown
% 0.14/0.39  % (19274)Termination phase: shuffling
% 0.14/0.39  
% 0.14/0.39  % (19274)Memory used [KB]: 1407
% 0.14/0.39  % (19274)Time elapsed: 0.003 s
% 0.14/0.39  % (19274)Instructions burned: 3 (million)
% 0.14/0.39  % (19274)------------------------------
% 0.14/0.39  % (19274)------------------------------
% 0.14/0.39  % (19270)Instruction limit reached!
% 0.14/0.39  % (19270)------------------------------
% 0.14/0.39  % (19270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (19270)Termination reason: Unknown
% 0.14/0.39  % (19270)Termination phase: shuffling
% 0.14/0.39  
% 0.14/0.39  % (19271)Instruction limit reached!
% 0.14/0.39  % (19271)------------------------------
% 0.14/0.39  % (19271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (19271)Termination reason: Unknown
% 0.14/0.39  % (19271)Termination phase: shuffling
% 0.14/0.39  
% 0.14/0.39  % (19271)Memory used [KB]: 1279
% 0.14/0.39  % (19271)Time elapsed: 0.003 s
% 0.14/0.39  % (19271)Instructions burned: 2 (million)
% 0.14/0.39  % (19271)------------------------------
% 0.14/0.39  % (19271)------------------------------
% 0.14/0.39  % (19270)Memory used [KB]: 1279
% 0.14/0.39  % (19270)Time elapsed: 0.003 s
% 0.14/0.39  % (19270)Instructions burned: 2 (million)
% 0.14/0.39  % (19270)------------------------------
% 0.14/0.39  % (19270)------------------------------
% 0.14/0.39  % (19273)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39  % (19268)Instruction limit reached!
% 0.14/0.39  % (19268)------------------------------
% 0.14/0.39  % (19268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (19268)Termination reason: Unknown
% 0.14/0.39  % (19268)Termination phase: shuffling
% 0.14/0.39  
% 0.14/0.39  % (19268)Memory used [KB]: 1407
% 0.14/0.39  % (19268)Time elapsed: 0.005 s
% 0.14/0.39  % (19268)Instructions burned: 5 (million)
% 0.14/0.39  % (19268)------------------------------
% 0.14/0.39  % (19268)------------------------------
% 0.14/0.41  % (19275)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.41  % (19273)Instruction limit reached!
% 0.14/0.41  % (19273)------------------------------
% 0.14/0.41  % (19273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (19273)Termination reason: Unknown
% 0.14/0.41  % (19273)Termination phase: shuffling
% 0.14/0.41  
% 0.14/0.41  % (19273)Memory used [KB]: 1791
% 0.14/0.41  % (19273)Time elapsed: 0.014 s
% 0.14/0.41  % (19273)Instructions burned: 19 (million)
% 0.14/0.41  % (19273)------------------------------
% 0.14/0.41  % (19273)------------------------------
% 0.22/0.41  % (19277)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41  % (19269)Instruction limit reached!
% 0.22/0.41  % (19269)------------------------------
% 0.22/0.41  % (19269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (19269)Termination reason: Unknown
% 0.22/0.41  % (19269)Termination phase: Property scanning
% 0.22/0.41  
% 0.22/0.41  % (19269)Memory used [KB]: 1791
% 0.22/0.41  % (19269)Time elapsed: 0.019 s
% 0.22/0.41  % (19269)Instructions burned: 28 (million)
% 0.22/0.41  % (19269)------------------------------
% 0.22/0.41  % (19269)------------------------------
% 0.22/0.41  % (19277)Instruction limit reached!
% 0.22/0.41  % (19277)------------------------------
% 0.22/0.41  % (19277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (19277)Termination reason: Unknown
% 0.22/0.41  % (19277)Termination phase: shuffling
% 0.22/0.41  
% 0.22/0.41  % (19277)Memory used [KB]: 1407
% 0.22/0.41  % (19277)Time elapsed: 0.004 s
% 0.22/0.41  % (19277)Instructions burned: 3 (million)
% 0.22/0.41  % (19277)------------------------------
% 0.22/0.41  % (19277)------------------------------
% 0.22/0.42  % (19278)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.42  % (19279)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42  % (19276)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.42  % (19275)Instruction limit reached!
% 0.22/0.42  % (19275)------------------------------
% 0.22/0.42  % (19275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (19275)Termination reason: Unknown
% 0.22/0.42  % (19275)Termination phase: shuffling
% 0.22/0.42  
% 0.22/0.42  % (19275)Memory used [KB]: 2174
% 0.22/0.42  % (19275)Time elapsed: 0.018 s
% 0.22/0.42  % (19275)Instructions burned: 38 (million)
% 0.22/0.42  % (19275)------------------------------
% 0.22/0.42  % (19275)------------------------------
% 0.22/0.42  % (19280)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.42  % (19279)Instruction limit reached!
% 0.22/0.42  % (19279)------------------------------
% 0.22/0.42  % (19279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (19279)Termination reason: Unknown
% 0.22/0.42  % (19279)Termination phase: shuffling
% 0.22/0.42  
% 0.22/0.42  % (19279)Memory used [KB]: 1407
% 0.22/0.42  % (19279)Time elapsed: 0.006 s
% 0.22/0.42  % (19279)Instructions burned: 7 (million)
% 0.22/0.42  % (19279)------------------------------
% 0.22/0.42  % (19279)------------------------------
% 0.22/0.43  % (19281)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43  % (19281)Instruction limit reached!
% 0.22/0.43  % (19281)------------------------------
% 0.22/0.43  % (19281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (19281)Termination reason: Unknown
% 0.22/0.43  % (19281)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (19281)Memory used [KB]: 1407
% 0.22/0.43  % (19281)Time elapsed: 0.004 s
% 0.22/0.43  % (19281)Instructions burned: 3 (million)
% 0.22/0.43  % (19281)------------------------------
% 0.22/0.43  % (19281)------------------------------
% 0.22/0.43  % (19276)Instruction limit reached!
% 0.22/0.43  % (19276)------------------------------
% 0.22/0.43  % (19276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (19276)Termination reason: Unknown
% 0.22/0.43  % (19276)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (19276)Memory used [KB]: 1663
% 0.22/0.43  % (19276)Time elapsed: 0.012 s
% 0.22/0.43  % (19276)Instructions burned: 16 (million)
% 0.22/0.43  % (19276)------------------------------
% 0.22/0.43  % (19276)------------------------------
% 0.22/0.43  % (19280)Instruction limit reached!
% 0.22/0.43  % (19280)------------------------------
% 0.22/0.43  % (19280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (19280)Termination reason: Unknown
% 0.22/0.43  % (19280)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (19280)Memory used [KB]: 1663
% 0.22/0.43  % (19280)Time elapsed: 0.012 s
% 0.22/0.43  % (19280)Instructions burned: 16 (million)
% 0.22/0.43  % (19280)------------------------------
% 0.22/0.43  % (19280)------------------------------
% 0.22/0.44  % (19282)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44  % (19282)Instruction limit reached!
% 0.22/0.44  % (19282)------------------------------
% 0.22/0.44  % (19282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (19282)Termination reason: Unknown
% 0.22/0.44  % (19282)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (19282)Memory used [KB]: 1407
% 0.22/0.44  % (19282)Time elapsed: 0.003 s
% 0.22/0.44  % (19282)Instructions burned: 4 (million)
% 0.22/0.44  % (19282)------------------------------
% 0.22/0.44  % (19282)------------------------------
% 0.22/0.44  % (19283)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44  % (19272)First to succeed.
% 0.22/0.44  % (19283)Instruction limit reached!
% 0.22/0.44  % (19283)------------------------------
% 0.22/0.44  % (19283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (19283)Termination reason: Unknown
% 0.22/0.44  % (19283)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (19283)Memory used [KB]: 1407
% 0.22/0.44  % (19283)Time elapsed: 0.006 s
% 0.22/0.44  % (19283)Instructions burned: 7 (million)
% 0.22/0.44  % (19283)------------------------------
% 0.22/0.44  % (19283)------------------------------
% 0.22/0.44  % (19272)Refutation found. Thanks to Tanya!
% 0.22/0.44  % SZS status Theorem for theBenchmark
% 0.22/0.44  % SZS output start Proof for theBenchmark
% 0.22/0.44  thf(type_def_5, type, itself: ($tType) > $tType).
% 0.22/0.44  thf(type_def_7, type, n: $tType).
% 0.22/0.44  thf(type_def_8, type, t: $tType).
% 0.22/0.44  thf(type_def_9, type, dtree: $tType).
% 0.22/0.44  thf(type_def_10, type, sum_sum: ($tType * $tType) > $tType).
% 0.22/0.44  thf(type_def_11, type, set: ($tType) > $tType).
% 0.22/0.44  thf(type_def_12, type, product_prod: ($tType * $tType) > $tType).
% 0.22/0.44  thf(func_def_0, type, product_prod: ($tType * $tType) > $tType).
% 0.22/0.44  thf(func_def_1, type, sum_sum: ($tType * $tType) > $tType).
% 0.22/0.44  thf(func_def_2, type, dtree: $tType).
% 0.22/0.44  thf(func_def_3, type, set: ($tType) > $tType).
% 0.22/0.44  thf(func_def_4, type, t: $tType).
% 0.22/0.44  thf(func_def_5, type, n: $tType).
% 0.22/0.44  thf(func_def_6, type, itself: ($tType) > $tType).
% 0.22/0.44  thf(func_def_7, type, bounded_lattice: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.44  thf(func_def_8, type, type: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.44  thf(func_def_9, type, bot: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.44  thf(func_def_10, type, top: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.44  thf(func_def_11, type, bounded_lattice_top: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.44  thf(func_def_12, type, node: n > set @ sum_sum @ t @ dtree > dtree).
% 0.22/0.44  thf(func_def_13, type, cont: dtree > set @ sum_sum @ t @ dtree).
% 0.22/0.44  thf(func_def_14, type, root: dtree > n).
% 0.22/0.44  thf(func_def_15, type, unfold: !>[X0: $tType]:((X0 > n) > (X0 > set @ sum_sum @ t @ X0) > X0 > dtree)).
% 0.22/0.44  thf(func_def_16, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X2 > X0) > X2 > X1)).
% 0.22/0.44  thf(func_def_17, type, gram_L861583724lle_Fr: set @ n > dtree > set @ t).
% 0.22/0.44  thf(func_def_18, type, gram_L1556062726le_Frr: set @ n > dtree > set @ t).
% 0.22/0.44  thf(func_def_19, type, gram_L1451583624elle_H: dtree > n > dtree).
% 0.22/0.44  thf(func_def_20, type, gram_L1221482011le_H_c: dtree > n > set @ sum_sum @ t @ n).
% 0.22/0.44  thf(func_def_21, type, gram_L1221482026le_H_r: dtree > n > n).
% 0.22/0.44  thf(func_def_22, type, gram_L1451583628elle_L: set @ n > n > set @ set @ t).
% 0.22/0.44  thf(func_def_23, type, gram_L1451583632elle_P: set @ product_prod @ n @ set @ sum_sum @ t @ n).
% 0.22/0.44  thf(func_def_24, type, gram_L1231612515_deftr: n > dtree).
% 0.22/0.44  thf(func_def_25, type, gram_L1004374585hsubst: dtree > dtree > dtree).
% 0.22/0.44  thf(func_def_26, type, gram_L1905609002ubst_c: dtree > dtree > set @ sum_sum @ t @ dtree).
% 0.22/0.44  thf(func_def_27, type, gram_L1905609017ubst_r: dtree > n).
% 0.22/0.44  thf(func_def_28, type, gram_L1333338417e_inFr: set @ n > dtree > t > $o).
% 0.22/0.44  thf(func_def_29, type, gram_L805317441_inFr2: set @ n > dtree > t > $o).
% 0.22/0.44  thf(func_def_30, type, gram_L805317505_inFrr: set @ n > dtree > t > $o).
% 0.22/0.44  thf(func_def_31, type, gram_L830233218_inItr: set @ n > dtree > n > $o).
% 0.22/0.44  thf(func_def_32, type, gram_L315592705e_pick: dtree > n > dtree).
% 0.22/0.44  thf(func_def_33, type, gram_L1828378864e_rcut: dtree > dtree).
% 0.22/0.44  thf(func_def_34, type, gram_L1918716148le_reg: (n > dtree) > dtree > $o).
% 0.22/0.44  thf(func_def_35, type, gram_L646766332egular: dtree > $o).
% 0.22/0.44  thf(func_def_36, type, gram_L716654942_subtr: set @ n > dtree > dtree > $o).
% 0.22/0.44  thf(func_def_37, type, gram_L1283001940subtr2: set @ n > dtree > dtree > $o).
% 0.22/0.44  thf(func_def_38, type, gram_L1614515765ubtrOf: dtree > n > dtree).
% 0.22/0.44  thf(func_def_39, type, gram_L864798063lle_wf: dtree > $o).
% 0.22/0.44  thf(func_def_40, type, minus_minus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.22/0.44  thf(func_def_41, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 0.22/0.44  thf(func_def_42, type, sup_sup: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.22/0.44  thf(func_def_43, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.22/0.44  thf(func_def_44, type, top_top: !>[X0: $tType]:(X0)).
% 0.22/0.44  thf(func_def_45, type, product_Pair: !>[X0: $tType, X1: $tType]:(X0 > X1 > product_prod @ X0 @ X1)).
% 0.22/0.44  thf(func_def_46, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.22/0.44  thf(func_def_47, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.22/0.44  thf(func_def_48, type, insert: !>[X0: $tType]:(X0 > set @ X0 > set @ X0)).
% 0.22/0.44  thf(func_def_49, type, is_singleton: !>[X0: $tType]:(set @ X0 > $o)).
% 0.22/0.44  thf(func_def_50, type, vimage: !>[X0: $tType, X1: $tType]:((X0 > X1) > set @ X1 > set @ X0)).
% 0.22/0.44  thf(func_def_51, type, sum_Inl: !>[X0: $tType, X1: $tType]:(X0 > sum_sum @ X0 @ X1)).
% 0.22/0.44  thf(func_def_52, type, sum_Inr: !>[X0: $tType, X1: $tType]:(X0 > sum_sum @ X1 @ X0)).
% 0.22/0.44  thf(func_def_53, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1)).
% 0.22/0.44  thf(func_def_54, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.22/0.44  thf(func_def_55, type, k: n > set @ t).
% 0.22/0.44  thf(func_def_56, type, ftr: n > dtree).
% 0.22/0.44  thf(func_def_57, type, n2: n).
% 0.22/0.44  thf(func_def_58, type, ns: set @ n).
% 0.22/0.44  thf(func_def_59, type, tns: set @ sum_sum @ t @ n).
% 0.22/0.44  thf(func_def_60, type, tr: dtree).
% 0.22/0.44  thf(func_def_61, type, tr2: dtree).
% 0.22/0.44  thf(func_def_79, type, sP0: (set @ n > dtree > dtree > $o) > $o).
% 0.22/0.44  thf(func_def_80, type, sP1: (set @ n > dtree > t > $o) > $o).
% 0.22/0.44  thf(func_def_81, type, sP2: !>[X0: $tType]:(set @ X0 > X0 > X0 > set @ X0 > $o)).
% 0.22/0.44  thf(func_def_82, type, sP3: !>[X0: $tType]:(set @ X0 > X0 > X0 > set @ X0 > $o)).
% 0.22/0.44  thf(func_def_83, type, sK4: (set @ n > dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_84, type, sK5: (set @ n > dtree > dtree > $o) > set @ n).
% 0.22/0.44  thf(func_def_85, type, sK6: (set @ n > dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_86, type, sK7: (set @ n > dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_87, type, sK8: (set @ n > dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_88, type, sK9: (set @ n > dtree > dtree > $o) > set @ n).
% 0.22/0.44  thf(func_def_89, type, sK10: dtree > dtree > set @ n > dtree).
% 0.22/0.44  thf(func_def_90, type, sK11: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > $o) > X0)).
% 0.22/0.44  thf(func_def_91, type, sK12: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > $o) > X1)).
% 0.22/0.44  thf(func_def_92, type, sK13: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X1)).
% 0.22/0.44  thf(func_def_93, type, sK14: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X0)).
% 0.22/0.44  thf(func_def_94, type, sK15: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.22/0.44  thf(func_def_95, type, sK16: (set @ n > dtree > t > $o) > dtree).
% 0.22/0.44  thf(func_def_96, type, sK17: (set @ n > dtree > t > $o) > set @ n).
% 0.22/0.44  thf(func_def_97, type, sK18: (set @ n > dtree > t > $o) > dtree).
% 0.22/0.44  thf(func_def_98, type, sK19: (set @ n > dtree > t > $o) > t).
% 0.22/0.44  thf(func_def_99, type, sK20: (set @ n > dtree > t > $o) > dtree).
% 0.22/0.44  thf(func_def_100, type, sK21: (set @ n > dtree > t > $o) > set @ n).
% 0.22/0.44  thf(func_def_101, type, sK22: (set @ n > dtree > t > $o) > t).
% 0.22/0.44  thf(func_def_102, type, sK23: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X0)).
% 0.22/0.44  thf(func_def_103, type, sK24: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X1)).
% 0.22/0.44  thf(func_def_104, type, sK25: !>[X0: $tType]:(set @ X0 > X0 > set @ X0)).
% 0.22/0.44  thf(func_def_105, type, sK26: !>[X0: $tType]:(set @ X0 > X0 > X0 > set @ X0 > set @ X0)).
% 0.22/0.44  thf(func_def_106, type, sK27: !>[X0: $tType]:(set @ X0 > X0)).
% 0.22/0.44  thf(func_def_107, type, sK28: t > dtree > set @ n > dtree).
% 0.22/0.44  thf(func_def_108, type, sK29: !>[X0: $tType]:(set @ X0 > X0 > set @ X0)).
% 0.22/0.44  thf(func_def_109, type, sK30: t > dtree > set @ n > dtree).
% 0.22/0.44  thf(func_def_110, type, sK31: !>[X0: $tType]:(set @ X0 > X0)).
% 0.22/0.44  thf(func_def_111, type, sK32: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X1)).
% 0.22/0.44  thf(func_def_112, type, sK33: !>[X0: $tType, X1: $tType]:(sum_sum @ X0 @ X1 > X0)).
% 0.22/0.44  thf(func_def_113, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType]:($o > (sum_sum @ X0 @ X1 > X2) > X2 > X0)).
% 0.22/0.44  thf(func_def_114, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType]:($o > (sum_sum @ X0 @ X1 > X2) > X2 > X1)).
% 0.22/0.44  thf(func_def_115, type, sK36: (set @ n > dtree > dtree > $o) > set @ n).
% 0.22/0.44  thf(func_def_116, type, sK37: (set @ n > dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_117, type, sK38: (set @ n > dtree > dtree > $o) > set @ n).
% 0.22/0.44  thf(func_def_118, type, sK39: (set @ n > dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_119, type, sK40: (set @ n > dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_120, type, sK41: (set @ n > dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_121, type, sK42: (dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_122, type, sK43: (dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_123, type, sK44: (dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_124, type, sK45: (dtree > dtree > $o) > dtree).
% 0.22/0.44  thf(func_def_125, type, sK46: !>[X0: $tType]:(set @ X0 > X0)).
% 0.22/0.44  thf(func_def_127, type, ph48: !>[X0: $tType]:(X0)).
% 0.22/0.44  thf(f1150,plain,(
% 0.22/0.44    $false),
% 0.22/0.44    inference(subsumption_resolution,[],[f1149,f1075])).
% 0.22/0.44  thf(f1075,plain,(
% 0.22/0.44    ((gram_L864798063lle_wf @ tr2) = $true)),
% 0.22/0.44    inference(cnf_transformation,[],[f510])).
% 0.22/0.44  thf(f510,plain,(
% 0.22/0.44    ((gram_L864798063lle_wf @ tr2) = $true)),
% 0.22/0.44    inference(fool_elimination,[],[f509])).
% 0.22/0.44  thf(f509,plain,(
% 0.22/0.44    (gram_L864798063lle_wf @ tr2)),
% 0.22/0.44    inference(rectify,[],[f1])).
% 0.22/0.44  thf(f1,axiom,(
% 0.22/0.44    (gram_L864798063lle_wf @ tr2)),
% 0.22/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_dtr)).
% 0.22/0.44  thf(f1149,plain,(
% 0.22/0.44    ((gram_L864798063lle_wf @ tr2) != $true)),
% 0.22/0.44    inference(trivial_inequality_removal,[],[f1148])).
% 0.22/0.44  thf(f1148,plain,(
% 0.22/0.44    ((gram_L864798063lle_wf @ tr2) != $true) | ($true != $true)),
% 0.22/0.44    inference(duplicate_literal_removal,[],[f1147])).
% 0.22/0.44  thf(f1147,plain,(
% 0.22/0.44    ((gram_L864798063lle_wf @ tr2) != $true) | ((gram_L864798063lle_wf @ tr2) != $true) | ($true != $true)),
% 0.22/0.44    inference(superposition,[],[f1035,f931])).
% 0.22/0.44  thf(f931,plain,(
% 0.22/0.44    ( ! [X0 : dtree,X1 : dtree] : (((gram_L864798063lle_wf @ (gram_L1004374585hsubst @ X0 @ X1)) = $true) | ((gram_L864798063lle_wf @ X0) != $true) | ((gram_L864798063lle_wf @ X1) != $true)) )),
% 0.22/0.44    inference(cnf_transformation,[],[f765])).
% 0.22/0.44  thf(f765,plain,(
% 0.22/0.44    ! [X0 : dtree,X1 : dtree] : (((gram_L864798063lle_wf @ (gram_L1004374585hsubst @ X0 @ X1)) = $true) | ((gram_L864798063lle_wf @ X0) != $true) | ((gram_L864798063lle_wf @ X1) != $true))),
% 0.22/0.44    inference(flattening,[],[f764])).
% 0.22/0.44  thf(f764,plain,(
% 0.22/0.44    ! [X0 : dtree,X1 : dtree] : ((((gram_L864798063lle_wf @ (gram_L1004374585hsubst @ X0 @ X1)) = $true) | ((gram_L864798063lle_wf @ X1) != $true)) | ((gram_L864798063lle_wf @ X0) != $true))),
% 0.22/0.44    inference(ennf_transformation,[],[f440])).
% 0.22/0.44  thf(f440,plain,(
% 0.22/0.44    ! [X0 : dtree,X1 : dtree] : (((gram_L864798063lle_wf @ X0) = $true) => (((gram_L864798063lle_wf @ X1) = $true) => ((gram_L864798063lle_wf @ (gram_L1004374585hsubst @ X0 @ X1)) = $true)))),
% 0.22/0.44    inference(fool_elimination,[],[f439])).
% 0.22/0.44  thf(f439,plain,(
% 0.22/0.44    ! [X0 : dtree,X1 : dtree] : ((gram_L864798063lle_wf @ X0) => ((gram_L864798063lle_wf @ X1) => (gram_L864798063lle_wf @ (gram_L1004374585hsubst @ X0 @ X1))))),
% 0.22/0.44    inference(rectify,[],[f3])).
% 0.22/0.44  thf(f3,axiom,(
% 0.22/0.44    ! [X4 : dtree,X5 : dtree] : ((gram_L864798063lle_wf @ X4) => ((gram_L864798063lle_wf @ X5) => (gram_L864798063lle_wf @ (gram_L1004374585hsubst @ X4 @ X5))))),
% 0.22/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_wf__hsubst)).
% 0.22/0.44  thf(f1035,plain,(
% 0.22/0.44    ((gram_L864798063lle_wf @ (gram_L1004374585hsubst @ tr2 @ tr2)) != $true)),
% 0.22/0.44    inference(cnf_transformation,[],[f653])).
% 0.22/0.44  thf(f653,plain,(
% 0.22/0.44    ((gram_L864798063lle_wf @ (gram_L1004374585hsubst @ tr2 @ tr2)) != $true)),
% 0.22/0.44    inference(flattening,[],[f322])).
% 0.22/0.44  thf(f322,plain,(
% 0.22/0.44    ~((gram_L864798063lle_wf @ (gram_L1004374585hsubst @ tr2 @ tr2)) = $true)),
% 0.22/0.44    inference(fool_elimination,[],[f321])).
% 0.22/0.44  thf(f321,plain,(
% 0.22/0.44    ~(gram_L864798063lle_wf @ (gram_L1004374585hsubst @ tr2 @ tr2))),
% 0.22/0.44    inference(rectify,[],[f273])).
% 0.22/0.44  thf(f273,negated_conjecture,(
% 0.22/0.44    ~(gram_L864798063lle_wf @ (gram_L1004374585hsubst @ tr2 @ tr2))),
% 0.22/0.44    inference(negated_conjecture,[],[f272])).
% 0.22/0.44  thf(f272,conjecture,(
% 0.22/0.44    (gram_L864798063lle_wf @ (gram_L1004374585hsubst @ tr2 @ tr2))),
% 0.22/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.22/0.44  % SZS output end Proof for theBenchmark
% 0.22/0.44  % (19272)------------------------------
% 0.22/0.44  % (19272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (19272)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (19272)Memory used [KB]: 6780
% 0.22/0.44  % (19272)Time elapsed: 0.051 s
% 0.22/0.44  % (19272)Instructions burned: 80 (million)
% 0.22/0.44  % (19272)------------------------------
% 0.22/0.44  % (19272)------------------------------
% 0.22/0.44  % (19266)Success in time 0.089 s
% 0.22/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------