TSTP Solution File: ITP101^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP101^2 : TPTP v8.2.0. Released v7.5.0.
% 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 : n032.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 22:33:37 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : ITP101^2 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.11 % 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
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sat May 18 17:39:22 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.30 This is a TH1_THM_EQU_NAR problem
% 0.11/0.30 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
% 0.15/0.33 % (19033)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.33 % (19035)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)
% 0.15/0.33 % (19039)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.33 % (19036)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.33 % (19036)Instruction limit reached!
% 0.15/0.33 % (19036)------------------------------
% 0.15/0.33 % (19036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (19036)Termination reason: Unknown
% 0.15/0.33 % (19036)Termination phase: shuffling
% 0.15/0.33
% 0.15/0.33 % (19036)Memory used [KB]: 1279
% 0.15/0.33 % (19036)Time elapsed: 0.002 s
% 0.15/0.33 % (19036)Instructions burned: 2 (million)
% 0.15/0.33 % (19036)------------------------------
% 0.15/0.33 % (19036)------------------------------
% 0.15/0.33 % (19037)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)
% 0.15/0.34 % (19037)Instruction limit reached!
% 0.15/0.34 % (19037)------------------------------
% 0.15/0.34 % (19037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (19037)Termination reason: Unknown
% 0.15/0.34 % (19037)Termination phase: shuffling
% 0.15/0.34 % (19038)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)
% 0.15/0.34
% 0.15/0.34 % (19037)Memory used [KB]: 1407
% 0.15/0.34 % (19037)Time elapsed: 0.003 s
% 0.15/0.34 % (19037)Instructions burned: 3 (million)
% 0.15/0.34 % (19037)------------------------------
% 0.15/0.34 % (19037)------------------------------
% 0.15/0.34 % (19039)Instruction limit reached!
% 0.15/0.34 % (19039)------------------------------
% 0.15/0.34 % (19039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (19039)Termination reason: Unknown
% 0.15/0.34 % (19039)Termination phase: shuffling
% 0.15/0.34
% 0.15/0.34 % (19039)Memory used [KB]: 1791
% 0.15/0.34 % (19039)Time elapsed: 0.008 s
% 0.15/0.34 % (19039)Instructions burned: 18 (million)
% 0.15/0.34 % (19039)------------------------------
% 0.15/0.34 % (19039)------------------------------
% 0.15/0.34 % (19034)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)
% 0.15/0.34 % (19035)Instruction limit reached!
% 0.15/0.34 % (19035)------------------------------
% 0.15/0.34 % (19035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (19035)Termination reason: Unknown
% 0.15/0.34 % (19035)Termination phase: Property scanning
% 0.15/0.34
% 0.15/0.34 % (19035)Memory used [KB]: 1791
% 0.15/0.34 % (19035)Time elapsed: 0.012 s
% 0.15/0.34 % (19035)Instructions burned: 28 (million)
% 0.15/0.34 % (19035)------------------------------
% 0.15/0.34 % (19035)------------------------------
% 0.15/0.34 % (19041)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)
% 0.15/0.34 % (19040)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)
% 0.15/0.34 % (19040)Instruction limit reached!
% 0.15/0.34 % (19040)------------------------------
% 0.15/0.34 % (19040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (19040)Termination reason: Unknown
% 0.15/0.34 % (19040)Termination phase: shuffling
% 0.15/0.34
% 0.15/0.34 % (19040)Memory used [KB]: 1407
% 0.15/0.34 % (19040)Time elapsed: 0.003 s
% 0.15/0.34 % (19040)Instructions burned: 3 (million)
% 0.15/0.34 % (19040)------------------------------
% 0.15/0.34 % (19040)------------------------------
% 0.15/0.34 % (19034)Instruction limit reached!
% 0.15/0.34 % (19034)------------------------------
% 0.15/0.34 % (19034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (19034)Termination reason: Unknown
% 0.15/0.34 % (19034)Termination phase: shuffling
% 0.15/0.34
% 0.15/0.34 % (19034)Memory used [KB]: 1407
% 0.15/0.34 % (19034)Time elapsed: 0.004 s
% 0.15/0.34 % (19034)Instructions burned: 5 (million)
% 0.15/0.34 % (19034)------------------------------
% 0.15/0.34 % (19034)------------------------------
% 0.15/0.35 % (19043)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)
% 0.15/0.35 % (19042)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)
% 0.15/0.35 % (19043)Instruction limit reached!
% 0.15/0.35 % (19043)------------------------------
% 0.15/0.35 % (19043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (19043)Termination reason: Unknown
% 0.15/0.35 % (19043)Termination phase: shuffling
% 0.15/0.35
% 0.15/0.35 % (19043)Memory used [KB]: 1407
% 0.15/0.35 % (19043)Time elapsed: 0.003 s
% 0.15/0.35 % (19043)Instructions burned: 5 (million)
% 0.15/0.35 % (19043)------------------------------
% 0.15/0.35 % (19043)------------------------------
% 0.15/0.35 % (19044)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)
% 0.15/0.35 % (19041)Instruction limit reached!
% 0.15/0.35 % (19041)------------------------------
% 0.15/0.35 % (19041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (19041)Termination reason: Unknown
% 0.15/0.35 % (19041)Termination phase: shuffling
% 0.15/0.35
% 0.15/0.35 % (19041)Memory used [KB]: 2046
% 0.15/0.35 % (19041)Time elapsed: 0.013 s
% 0.15/0.35 % (19041)Instructions burned: 38 (million)
% 0.15/0.35 % (19041)------------------------------
% 0.15/0.35 % (19041)------------------------------
% 0.15/0.35 % (19045)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.36 % (19042)Instruction limit reached!
% 0.15/0.36 % (19042)------------------------------
% 0.15/0.36 % (19042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (19042)Termination reason: Unknown
% 0.15/0.36 % (19042)Termination phase: shuffling
% 0.15/0.36
% 0.15/0.36 % (19042)Memory used [KB]: 1663
% 0.15/0.36 % (19042)Time elapsed: 0.009 s
% 0.15/0.36 % (19042)Instructions burned: 16 (million)
% 0.15/0.36 % (19042)------------------------------
% 0.15/0.36 % (19042)------------------------------
% 0.15/0.36 % (19045)Instruction limit reached!
% 0.15/0.36 % (19045)------------------------------
% 0.15/0.36 % (19045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (19045)Termination reason: Unknown
% 0.15/0.36 % (19045)Termination phase: shuffling
% 0.15/0.36
% 0.15/0.36 % (19045)Memory used [KB]: 1535
% 0.15/0.36 % (19045)Time elapsed: 0.005 s
% 0.15/0.36 % (19045)Instructions burned: 7 (million)
% 0.15/0.36 % (19045)------------------------------
% 0.15/0.36 % (19045)------------------------------
% 0.15/0.36 % (19047)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)
% 0.15/0.36 % (19046)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.36 % (19047)Instruction limit reached!
% 0.15/0.36 % (19047)------------------------------
% 0.15/0.36 % (19047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (19047)Termination reason: Unknown
% 0.15/0.36 % (19047)Termination phase: shuffling
% 0.15/0.36
% 0.15/0.36 % (19047)Memory used [KB]: 1407
% 0.15/0.36 % (19047)Time elapsed: 0.003 s
% 0.15/0.36 % (19047)Instructions burned: 5 (million)
% 0.15/0.36 % (19047)------------------------------
% 0.15/0.36 % (19047)------------------------------
% 0.15/0.36 % (19048)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)
% 0.15/0.36 % (19048)Instruction limit reached!
% 0.15/0.36 % (19048)------------------------------
% 0.15/0.36 % (19048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (19048)Termination reason: Unknown
% 0.15/0.36 % (19048)Termination phase: shuffling
% 0.15/0.36
% 0.15/0.36 % (19048)Memory used [KB]: 1407
% 0.15/0.36 % (19048)Time elapsed: 0.003 s
% 0.15/0.36 % (19048)Instructions burned: 5 (million)
% 0.15/0.36 % (19048)------------------------------
% 0.15/0.36 % (19048)------------------------------
% 0.15/0.37 % (19050)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.37 % (19049)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)
% 0.15/0.37 % (19046)Instruction limit reached!
% 0.15/0.37 % (19046)------------------------------
% 0.15/0.37 % (19046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (19046)Termination reason: Unknown
% 0.15/0.37 % (19046)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (19046)Memory used [KB]: 1663
% 0.15/0.37 % (19046)Time elapsed: 0.011 s
% 0.15/0.37 % (19046)Instructions burned: 16 (million)
% 0.15/0.37 % (19050)Instruction limit reached!
% 0.15/0.37 % (19050)------------------------------
% 0.15/0.37 % (19050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (19046)------------------------------
% 0.15/0.37 % (19046)------------------------------
% 0.15/0.37 % (19050)Termination reason: Unknown
% 0.15/0.37 % (19050)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (19051)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.37 % (19050)Memory used [KB]: 1407
% 0.15/0.37 % (19050)Time elapsed: 0.003 s
% 0.15/0.37 % (19050)Instructions burned: 5 (million)
% 0.15/0.37 % (19050)------------------------------
% 0.15/0.37 % (19050)------------------------------
% 0.15/0.37 % (19049)Instruction limit reached!
% 0.15/0.37 % (19049)------------------------------
% 0.15/0.37 % (19049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (19049)Termination reason: Unknown
% 0.15/0.37 % (19049)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (19049)Memory used [KB]: 1407
% 0.15/0.37 % (19049)Time elapsed: 0.005 s
% 0.15/0.37 % (19049)Instructions burned: 7 (million)
% 0.15/0.37 % (19049)------------------------------
% 0.15/0.37 % (19049)------------------------------
% 0.15/0.37 % (19051)Instruction limit reached!
% 0.15/0.37 % (19051)------------------------------
% 0.15/0.37 % (19051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (19051)Termination reason: Unknown
% 0.15/0.37 % (19051)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (19051)Memory used [KB]: 1407
% 0.15/0.37 % (19051)Time elapsed: 0.003 s
% 0.15/0.37 % (19051)Instructions burned: 5 (million)
% 0.15/0.37 % (19051)------------------------------
% 0.15/0.37 % (19051)------------------------------
% 0.15/0.37 % (19052)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.37 % (19038)First to succeed.
% 0.15/0.38 % (19053)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.15/0.38 % (19038)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% 0.15/0.38 thf(type_def_6, type, list: ($tType) > $tType).
% 0.15/0.38 thf(type_def_7, type, nat: $tType).
% 0.15/0.38 thf(type_def_8, type, set: ($tType) > $tType).
% 0.15/0.38 thf(type_def_9, type, a: $tType).
% 0.15/0.38 thf(func_def_0, type, list: ($tType) > $tType).
% 0.15/0.38 thf(func_def_1, type, set: ($tType) > $tType).
% 0.15/0.38 thf(func_def_2, type, nat: $tType).
% 0.15/0.38 thf(func_def_3, type, a: $tType).
% 0.15/0.38 thf(func_def_4, type, type: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_5, type, size: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_6, type, one: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_7, type, minus: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_8, type, ord: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_9, type, order: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_10, type, group_add: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_11, type, no_bot: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_12, type, no_top: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_13, type, linorder: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_14, type, preorder: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_15, type, wellorder: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_16, type, dense_order: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_17, type, dense_linorder: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_18, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_19, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_20, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 0.15/0.38 thf(func_def_21, type, minus_minus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.15/0.38 thf(func_def_22, type, one_one: !>[X0: $tType]:(X0)).
% 0.15/0.38 thf(func_def_23, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 0.15/0.38 thf(func_def_24, type, list_asc: !>[X0: $tType]:(list @ X0 > $o)).
% 0.15/0.38 thf(func_def_25, type, list_desc: !>[X0: $tType]:(list @ X0 > $o)).
% 0.15/0.38 thf(func_def_26, type, list_strict_asc: !>[X0: $tType]:(list @ X0 > $o)).
% 0.15/0.38 thf(func_def_27, type, list_strict_desc: !>[X0: $tType]:(list @ X0 > $o)).
% 0.15/0.38 thf(func_def_28, type, listIn521021761append: !>[X0: $tType]:(list @ X0 > (nat > X0) > nat > X0)).
% 0.15/0.38 thf(func_def_29, type, append: !>[X0: $tType]:(list @ X0 > list @ X0 > list @ X0)).
% 0.15/0.38 thf(func_def_30, type, butlast: !>[X0: $tType]:(list @ X0 > list @ X0)).
% 0.15/0.38 thf(func_def_31, type, set2: !>[X0: $tType]:(list @ X0 > set @ X0)).
% 0.15/0.38 thf(func_def_32, type, list_ex: !>[X0: $tType]:((X0 > $o) > list @ X0 > $o)).
% 0.15/0.38 thf(func_def_33, type, list_update: !>[X0: $tType]:(list @ X0 > nat > X0 > list @ X0)).
% 0.15/0.38 thf(func_def_34, type, nth: !>[X0: $tType]:(list @ X0 > nat > X0)).
% 0.15/0.38 thf(func_def_35, type, size_size: !>[X0: $tType]:(X0 > nat)).
% 0.15/0.38 thf(func_def_36, type, ord_less: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.15/0.38 thf(func_def_37, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.15/0.38 thf(func_def_38, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.15/0.38 thf(func_def_39, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.15/0.38 thf(func_def_40, type, f: nat > a).
% 0.15/0.38 thf(func_def_41, type, g: nat > a).
% 0.15/0.38 thf(func_def_42, type, x: nat).
% 0.15/0.38 thf(func_def_43, type, xs: list @ a).
% 0.15/0.38 thf(func_def_44, type, ys: list @ a).
% 0.15/0.38 thf(func_def_59, type, sK0: !>[X0: $tType]:((list @ X0 > $o) > list @ X0)).
% 0.15/0.38 thf(func_def_60, type, sK1: (nat > $o) > nat > nat).
% 0.15/0.38 thf(func_def_61, type, sK2: (nat > $o) > nat > nat).
% 0.15/0.38 thf(func_def_62, type, sK3: nat > (nat > $o) > nat).
% 0.15/0.38 thf(func_def_63, type, sK4: (nat > $o) > nat).
% 0.15/0.38 thf(func_def_64, type, sK5: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.15/0.38 thf(func_def_65, type, sK6: !>[X0: $tType]:(nat > (nat > X0 > $o) > X0)).
% 0.15/0.38 thf(func_def_66, type, sK7: !>[X0: $tType]:(list @ X0 > (nat > X0 > $o) > nat > nat)).
% 0.15/0.38 thf(func_def_67, type, sK8: !>[X0: $tType]:((nat > X0 > $o) > nat > list @ X0)).
% 0.15/0.38 thf(func_def_68, type, sK9: !>[X0: $tType]:((nat > X0 > $o) > nat > nat)).
% 0.15/0.38 thf(func_def_69, type, sK10: !>[X0: $tType]:((X0 > nat) > (X0 > $o) > X0)).
% 0.15/0.38 thf(func_def_70, type, sK11: !>[X0: $tType]:(nat > (X0 > nat) > (X0 > $o) > X0)).
% 0.15/0.38 thf(func_def_71, type, sK12: (nat > $o) > nat).
% 0.15/0.38 thf(func_def_72, type, sK13: !>[X0: $tType]:((X0 > nat) > (X0 > $o) > X0)).
% 0.15/0.38 thf(func_def_73, type, sK14: !>[X0: $tType]:(nat > list @ X0)).
% 0.15/0.38 thf(func_def_74, type, sK15: (nat > nat) > nat).
% 0.15/0.38 thf(func_def_75, type, sK16: (nat > nat) > nat).
% 0.15/0.38 thf(func_def_76, type, sK17: (nat > $o) > nat).
% 0.15/0.38 thf(func_def_77, type, sK18: !>[X0: $tType]:(list @ X0 > list @ X0 > nat)).
% 0.15/0.38 thf(func_def_78, type, sK19: !>[X0: $tType]:((X0 > nat) > (X0 > $o) > X0)).
% 0.15/0.38 thf(func_def_80, type, ph21: !>[X0: $tType]:(X0)).
% 0.15/0.38 thf(f1088,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(subsumption_resolution,[],[f1080,f992])).
% 0.15/0.38 thf(f992,plain,(
% 0.15/0.38 ((ord_less @ nat @ x @ (size_size @ list @ a @ ys)) = $true)),
% 0.15/0.38 inference(cnf_transformation,[],[f767])).
% 0.15/0.38 thf(f767,plain,(
% 0.15/0.38 ((ord_less @ nat @ x @ (size_size @ list @ a @ ys)) = $true)),
% 0.15/0.38 inference(fool_elimination,[],[f766])).
% 0.15/0.38 thf(f766,plain,(
% 0.15/0.38 (ord_less @ nat @ x @ (size_size @ list @ a @ ys))),
% 0.15/0.38 inference(rectify,[],[f286])).
% 0.15/0.38 thf(f286,axiom,(
% 0.15/0.38 (ord_less @ nat @ x @ (size_size @ list @ a @ ys))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)).
% 0.15/0.38 thf(f1080,plain,(
% 0.15/0.38 ((ord_less @ nat @ x @ (size_size @ list @ a @ ys)) != $true)),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f1076])).
% 0.15/0.38 thf(f1076,plain,(
% 0.15/0.38 ((ord_less @ nat @ x @ (size_size @ list @ a @ ys)) != $true) | ((nth @ a @ xs @ x) != (nth @ a @ xs @ x))),
% 0.15/0.38 inference(superposition,[],[f957,f1066])).
% 0.15/0.38 thf(f1066,plain,(
% 0.15/0.38 ( ! [X0 : nat] : (((nth @ a @ ys @ X0) = (nth @ a @ xs @ X0)) | ((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) != $true)) )),
% 0.15/0.38 inference(duplicate_literal_removal,[],[f1023])).
% 0.15/0.38 thf(f1023,plain,(
% 0.15/0.38 ( ! [X0 : nat] : (((nth @ a @ ys @ X0) = (nth @ a @ xs @ X0)) | ((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) != $true) | ((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) != $true)) )),
% 0.15/0.38 inference(cnf_transformation,[],[f900])).
% 0.15/0.38 thf(f900,plain,(
% 0.15/0.38 ! [X0 : nat] : ((((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true) | ((((f @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ xs))) = (g @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ ys)))) | ((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true)) & (((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) != $true) | ((g @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ ys))) = (nth @ a @ xs @ X0))))) & (((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) != $true) | ((((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true) | ((nth @ a @ ys @ X0) = (f @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ xs))))) & (((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) != $true) | ((nth @ a @ ys @ X0) = (nth @ a @ xs @ X0))))))),
% 0.15/0.38 inference(ennf_transformation,[],[f825])).
% 0.15/0.38 thf(f825,plain,(
% 0.15/0.38 ! [X0 : nat] : ((((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true) => ((((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true) => ((nth @ a @ ys @ X0) = (nth @ a @ xs @ X0))) & (((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) != $true) => ((nth @ a @ ys @ X0) = (f @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ xs))))))) & (((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) != $true) => ((((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true) => ((g @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ ys))) = (nth @ a @ xs @ X0))) & (((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) != $true) => ((f @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ xs))) = (g @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ ys))))))))),
% 0.15/0.38 inference(flattening,[],[f821])).
% 0.15/0.38 thf(f821,plain,(
% 0.15/0.38 ! [X0 : nat] : ((((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true) => ((~((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true) => ((nth @ a @ ys @ X0) = (f @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ xs))))) & (((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true) => ((nth @ a @ ys @ X0) = (nth @ a @ xs @ X0))))) & (~((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true) => ((~((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true) => ((f @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ xs))) = (g @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ ys))))) & (((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) = $true) => ((g @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ ys))) = (nth @ a @ xs @ X0))))))),
% 0.15/0.38 inference(fool_elimination,[],[f820])).
% 0.15/0.38 thf(f820,plain,(
% 0.15/0.38 ! [X0 : nat] : (((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) => ((~(ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) => ((nth @ a @ ys @ X0) = (f @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ xs))))) & ((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) => ((nth @ a @ ys @ X0) = (nth @ a @ xs @ X0))))) & (~(ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) => ((~(ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) => ((f @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ xs))) = (g @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ ys))))) & ((ord_less @ nat @ X0 @ (size_size @ list @ a @ ys)) => ((g @ (minus_minus @ nat @ X0 @ (size_size @ list @ a @ ys))) = (nth @ a @ xs @ X0))))))),
% 0.15/0.38 inference(rectify,[],[f285])).
% 0.15/0.38 thf(f285,axiom,(
% 0.15/0.38 ! [X60 : nat] : (((ord_less @ nat @ X60 @ (size_size @ list @ a @ ys)) => ((~(ord_less @ nat @ X60 @ (size_size @ list @ a @ ys)) => ((nth @ a @ ys @ X60) = (f @ (minus_minus @ nat @ X60 @ (size_size @ list @ a @ xs))))) & ((ord_less @ nat @ X60 @ (size_size @ list @ a @ ys)) => ((nth @ a @ xs @ X60) = (nth @ a @ ys @ X60))))) & (~(ord_less @ nat @ X60 @ (size_size @ list @ a @ ys)) => ((~(ord_less @ nat @ X60 @ (size_size @ list @ a @ ys)) => ((f @ (minus_minus @ nat @ X60 @ (size_size @ list @ a @ xs))) = (g @ (minus_minus @ nat @ X60 @ (size_size @ list @ a @ ys))))) & ((ord_less @ nat @ X60 @ (size_size @ list @ a @ ys)) => ((nth @ a @ xs @ X60) = (g @ (minus_minus @ nat @ X60 @ (size_size @ list @ a @ ys))))))))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 0.15/0.38 thf(f957,plain,(
% 0.15/0.38 ((nth @ a @ xs @ x) != (nth @ a @ ys @ x))),
% 0.15/0.38 inference(cnf_transformation,[],[f824])).
% 0.15/0.38 thf(f824,plain,(
% 0.15/0.38 ((nth @ a @ xs @ x) != (nth @ a @ ys @ x))),
% 0.15/0.38 inference(flattening,[],[f288])).
% 0.15/0.38 thf(f288,negated_conjecture,(
% 0.15/0.38 ~((nth @ a @ xs @ x) = (nth @ a @ ys @ x))),
% 0.15/0.38 inference(negated_conjecture,[],[f287])).
% 0.15/0.38 thf(f287,conjecture,(
% 0.15/0.38 ((nth @ a @ xs @ x) = (nth @ a @ ys @ x))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3)).
% 0.15/0.38 % SZS output end Proof for theBenchmark
% 0.15/0.38 % (19038)------------------------------
% 0.15/0.38 % (19038)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (19038)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (19038)Memory used [KB]: 6652
% 0.15/0.38 % (19038)Time elapsed: 0.041 s
% 0.15/0.38 % (19038)Instructions burned: 65 (million)
% 0.15/0.38 % (19038)------------------------------
% 0.15/0.38 % (19038)------------------------------
% 0.15/0.38 % (19032)Success in time 0.058 s
% 0.15/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------