TSTP Solution File: DAT176^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT176^1 : 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 : n020.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 19:49:59 EDT 2024
% Result : Theorem 0.12s 0.41s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT176^1 : TPTP v8.2.0. Released v7.0.0.
% 0.11/0.13 % 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
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 23:29:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a TH1_THM_EQU_NAR problem
% 0.12/0.35 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
% 0.12/0.38 % (17204)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)
% 0.12/0.38 % (17202)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)
% 0.12/0.38 % (17198)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)
% 0.12/0.38 % (17199)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)
% 0.12/0.38 % (17200)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (17201)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)
% 0.12/0.38 % (17203)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (17204)Instruction limit reached!
% 0.12/0.38 % (17204)------------------------------
% 0.12/0.38 % (17204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (17204)Termination reason: Unknown
% 0.12/0.38 % (17204)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (17204)Memory used [KB]: 1279
% 0.12/0.38 % (17204)Time elapsed: 0.003 s
% 0.12/0.38 % (17204)Instructions burned: 3 (million)
% 0.12/0.38 % (17204)------------------------------
% 0.12/0.38 % (17204)------------------------------
% 0.12/0.38 % (17200)Instruction limit reached!
% 0.12/0.38 % (17200)------------------------------
% 0.12/0.38 % (17200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (17200)Termination reason: Unknown
% 0.12/0.38 % (17200)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (17200)Memory used [KB]: 1279
% 0.12/0.38 % (17201)Instruction limit reached!
% 0.12/0.38 % (17201)------------------------------
% 0.12/0.38 % (17201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (17201)Termination reason: Unknown
% 0.12/0.38 % (17201)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (17201)Memory used [KB]: 1279
% 0.12/0.38 % (17201)Time elapsed: 0.003 s
% 0.12/0.38 % (17201)Instructions burned: 3 (million)
% 0.12/0.38 % (17201)------------------------------
% 0.12/0.38 % (17201)------------------------------
% 0.12/0.38 % (17200)Time elapsed: 0.003 s
% 0.12/0.38 % (17200)Instructions burned: 3 (million)
% 0.12/0.38 % (17200)------------------------------
% 0.12/0.38 % (17200)------------------------------
% 0.12/0.38 % (17198)Instruction limit reached!
% 0.12/0.38 % (17198)------------------------------
% 0.12/0.38 % (17198)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (17198)Termination reason: Unknown
% 0.12/0.38 % (17198)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (17198)Memory used [KB]: 1279
% 0.12/0.38 % (17198)Time elapsed: 0.004 s
% 0.12/0.38 % (17198)Instructions burned: 5 (million)
% 0.12/0.38 % (17198)------------------------------
% 0.12/0.38 % (17198)------------------------------
% 0.12/0.38 % (17197)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.39 % (17203)Instruction limit reached!
% 0.12/0.39 % (17203)------------------------------
% 0.12/0.39 % (17203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (17203)Termination reason: Unknown
% 0.12/0.39 % (17203)Termination phase: Property scanning
% 0.12/0.39
% 0.12/0.39 % (17203)Memory used [KB]: 1535
% 0.12/0.39 % (17203)Time elapsed: 0.011 s
% 0.12/0.39 % (17203)Instructions burned: 18 (million)
% 0.12/0.39 % (17203)------------------------------
% 0.12/0.39 % (17203)------------------------------
% 0.12/0.39 % (17199)Instruction limit reached!
% 0.12/0.39 % (17199)------------------------------
% 0.12/0.39 % (17199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (17199)Termination reason: Unknown
% 0.12/0.39 % (17199)Termination phase: Preprocessing 1
% 0.12/0.39
% 0.12/0.39 % (17199)Memory used [KB]: 1663
% 0.12/0.39 % (17199)Time elapsed: 0.015 s
% 0.12/0.39 % (17199)Instructions burned: 28 (million)
% 0.12/0.39 % (17199)------------------------------
% 0.12/0.39 % (17199)------------------------------
% 0.12/0.39 % (17206)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)
% 0.12/0.39 % (17207)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)
% 0.12/0.40 % (17208)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)
% 0.12/0.40 % (17207)Instruction limit reached!
% 0.12/0.40 % (17207)------------------------------
% 0.12/0.40 % (17207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40 % (17207)Termination reason: Unknown
% 0.12/0.40 % (17207)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (17207)Memory used [KB]: 1279
% 0.12/0.40 % (17207)Time elapsed: 0.003 s
% 0.12/0.40 % (17207)Instructions burned: 3 (million)
% 0.12/0.40 % (17207)------------------------------
% 0.12/0.40 % (17207)------------------------------
% 0.12/0.40 % (17205)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)
% 0.12/0.40 % (17206)Instruction limit reached!
% 0.12/0.40 % (17206)------------------------------
% 0.12/0.40 % (17206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40 % (17206)Termination reason: Unknown
% 0.12/0.40 % (17206)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (17206)Memory used [KB]: 1535
% 0.12/0.40 % (17206)Time elapsed: 0.009 s
% 0.12/0.40 % (17206)Instructions burned: 15 (million)
% 0.12/0.40 % (17206)------------------------------
% 0.12/0.40 % (17206)------------------------------
% 0.12/0.41 % (17209)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.41 % (17211)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)
% 0.12/0.41 % (17209)Instruction limit reached!
% 0.12/0.41 % (17209)------------------------------
% 0.12/0.41 % (17209)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.41 % (17209)Termination reason: Unknown
% 0.12/0.41 % (17209)Termination phase: shuffling
% 0.12/0.41
% 0.12/0.41 % (17209)Memory used [KB]: 1407
% 0.12/0.41 % (17209)Time elapsed: 0.006 s
% 0.12/0.41 % (17209)Instructions burned: 8 (million)
% 0.12/0.41 % (17209)------------------------------
% 0.12/0.41 % (17209)------------------------------
% 0.12/0.41 % (17211)Instruction limit reached!
% 0.12/0.41 % (17211)------------------------------
% 0.12/0.41 % (17211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.41 % (17211)Termination reason: Unknown
% 0.12/0.41 % (17211)Termination phase: shuffling
% 0.12/0.41
% 0.12/0.41 % (17211)Memory used [KB]: 1279
% 0.12/0.41 % (17211)Time elapsed: 0.003 s
% 0.12/0.41 % (17211)Instructions burned: 3 (million)
% 0.12/0.41 % (17211)------------------------------
% 0.12/0.41 % (17211)------------------------------
% 0.12/0.41 % (17202)First to succeed.
% 0.12/0.41 % (17202)Refutation found. Thanks to Tanya!
% 0.12/0.41 % SZS status Theorem for theBenchmark
% 0.12/0.41 % SZS output start Proof for theBenchmark
% 0.12/0.41 thf(type_def_5, type, itself: ($tType) > $tType).
% 0.12/0.41 thf(type_def_7, type, coinductive_llist: ($tType) > $tType).
% 0.12/0.41 thf(type_def_8, type, set: ($tType) > $tType).
% 0.12/0.41 thf(type_def_9, type, a: $tType).
% 0.12/0.41 thf(func_def_0, type, coinductive_llist: ($tType) > $tType).
% 0.12/0.41 thf(func_def_1, type, set: ($tType) > $tType).
% 0.12/0.41 thf(func_def_2, type, itself: ($tType) > $tType).
% 0.12/0.41 thf(func_def_3, type, a: $tType).
% 0.12/0.41 thf(func_def_4, type, bounded_lattice: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_5, type, type: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_6, type, minus: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_7, type, uminus: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_8, type, bot: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_9, type, top: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_10, type, group_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_11, type, lattice: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_12, type, ab_group_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_13, type, boolean_algebra: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_14, type, distrib_lattice: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_15, type, semilattice_inf: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_16, type, semilattice_sup: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_17, type, bounded_lattice_bot: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_18, type, bounded_lattice_top: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_19, type, cancel146912293up_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_20, type, bounde1561333602nf_top: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_21, type, bounde1808546759up_bot: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.12/0.41 thf(func_def_22, type, coinductive_LCons: !>[X0: $tType]:(X0 > coinductive_llist @ X0 > coinductive_llist @ X0)).
% 0.12/0.41 thf(func_def_23, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 0.12/0.41 thf(func_def_24, type, minus_minus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.12/0.41 thf(func_def_25, type, uminus_uminus: !>[X0: $tType]:(X0 > X0)).
% 0.12/0.41 thf(func_def_26, type, lList2435255213lllsts: !>[X0: $tType]:(set @ X0 > set @ coinductive_llist @ X0)).
% 0.12/0.41 thf(func_def_27, type, lList2236698231inlsts: !>[X0: $tType]:(set @ X0 > set @ coinductive_llist @ X0)).
% 0.12/0.41 thf(func_def_28, type, lList21916056377ts_rec: !>[X0: $tType, X1: $tType]:(X0 > (X1 > coinductive_llist @ X1 > X0 > X0) > coinductive_llist @ X1 > X0)).
% 0.12/0.41 thf(func_def_29, type, lList22096119349pslsts: !>[X0: $tType]:(set @ X0 > set @ coinductive_llist @ X0)).
% 0.12/0.41 thf(func_def_30, type, lList21612149805nflsts: !>[X0: $tType]:(set @ X0 > set @ coinductive_llist @ X0)).
% 0.12/0.41 thf(func_def_31, type, lList21148268032oslsts: !>[X0: $tType]:(set @ X0 > set @ coinductive_llist @ X0)).
% 0.12/0.41 thf(func_def_32, type, inf_inf: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.12/0.41 thf(func_def_33, type, sup_sup: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.12/0.41 thf(func_def_34, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.12/0.41 thf(func_def_35, type, top_top: !>[X0: $tType]:(X0)).
% 0.12/0.41 thf(func_def_36, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.12/0.41 thf(func_def_37, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.12/0.41 thf(func_def_38, type, disjnt: !>[X0: $tType]:(set @ X0 > set @ X0 > $o)).
% 0.12/0.41 thf(func_def_39, type, insert: !>[X0: $tType]:(X0 > set @ X0 > set @ X0)).
% 0.12/0.41 thf(func_def_40, type, is_empty: !>[X0: $tType]:(set @ X0 > $o)).
% 0.12/0.41 thf(func_def_41, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.12/0.41 thf(func_def_42, type, x: coinductive_llist @ a).
% 0.12/0.41 thf(func_def_51, type, sK0: !>[X0: $tType]:(X0)).
% 0.12/0.41 thf(func_def_52, type, sK1: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 0.12/0.41 thf(func_def_53, type, sK2: !>[X0: $tType]:(set @ X0 > X0)).
% 0.12/0.41 thf(func_def_54, type, sK3: !>[X0: $tType]:(set @ X0 > coinductive_llist @ X0 > X0)).
% 0.12/0.41 thf(func_def_55, type, sK4: !>[X0: $tType]:(set @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0)).
% 0.12/0.41 thf(func_def_56, type, sK5: !>[X0: $tType]:(set @ X0 > X0)).
% 0.12/0.41 thf(func_def_57, type, sK6: !>[X0: $tType]:(set @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0)).
% 0.12/0.41 thf(func_def_58, type, sK7: !>[X0: $tType]:(set @ X0 > coinductive_llist @ X0 > X0)).
% 0.12/0.41 thf(func_def_59, type, sK8: !>[X0: $tType]:(set @ X0 > X0)).
% 0.12/0.41 thf(func_def_60, type, sK9: !>[X0: $tType]:((X0 > $o) > set @ X0 > set @ X0 > X0)).
% 0.12/0.41 thf(func_def_61, type, sK10: !>[X0: $tType]:((X0 > $o) > set @ X0 > X0)).
% 0.12/0.41 thf(func_def_62, type, sK11: !>[X0: $tType]:((X0 > $o) > set @ X0 > X0)).
% 0.12/0.41 thf(func_def_63, type, sK12: !>[X0: $tType]:((X0 > $o) > set @ X0 > set @ X0 > X0)).
% 0.12/0.41 thf(func_def_64, type, sK13: !>[X0: $tType]:((X0 > $o) > set @ X0 > X0)).
% 0.12/0.41 thf(func_def_65, type, sK14: !>[X0: $tType]:((X0 > $o) > set @ X0 > X0)).
% 0.12/0.41 thf(func_def_66, type, sK15: !>[X0: $tType]:(set @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0)).
% 0.12/0.41 thf(func_def_67, type, sK16: !>[X0: $tType]:(set @ X0 > coinductive_llist @ X0 > X0)).
% 0.12/0.41 thf(func_def_68, type, sK17: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.12/0.41 thf(func_def_69, type, sK18: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 0.12/0.41 thf(func_def_70, type, sK19: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 0.12/0.41 thf(func_def_71, type, sK20: !>[X0: $tType]:(set @ X0 > X0)).
% 0.12/0.41 thf(func_def_72, type, sK21: !>[X0: $tType]:(set @ X0 > (coinductive_llist @ X0 > $o) > coinductive_llist @ X0)).
% 0.12/0.41 thf(func_def_74, type, ph23: !>[X0: $tType]:(X0)).
% 0.12/0.41 thf(f1179,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(subsumption_resolution,[],[f1178,f1156])).
% 0.12/0.41 thf(f1156,plain,(
% 0.12/0.41 ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) != $true)),
% 0.12/0.41 inference(subsumption_resolution,[],[f1153,f1155])).
% 0.12/0.41 thf(f1155,plain,(
% 0.12/0.41 ($true != (member @ coinductive_llist @ a @ x @ (minus_minus @ set @ coinductive_llist @ a @ (lList2435255213lllsts @ a @ top_top @ set @ a) @ (lList2236698231inlsts @ a @ top_top @ set @ a))))),
% 0.12/0.41 inference(subsumption_resolution,[],[f1154,f958])).
% 0.12/0.41 thf(f958,plain,(
% 0.12/0.41 ( ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : X0] : (($true != (member @ X0 @ X1 @ (minus_minus @ set @ X0 @ X2 @ X3))) | ($true != (member @ X0 @ X1 @ X3))) )),
% 0.12/0.41 inference(cnf_transformation,[],[f855])).
% 0.12/0.41 thf(f855,plain,(
% 0.12/0.41 ! [X0 : $tType,X1 : X0,X2 : set @ X0,X3 : set @ X0] : (($true != (member @ X0 @ X1 @ (minus_minus @ set @ X0 @ X2 @ X3))) | ($true != (member @ X0 @ X1 @ X3)))),
% 0.12/0.41 inference(ennf_transformation,[],[f792])).
% 0.12/0.41 thf(f792,plain,(
% 0.12/0.41 ! [X0 : $tType,X1 : X0,X2 : set @ X0,X3 : set @ X0] : (($true = (member @ X0 @ X1 @ (minus_minus @ set @ X0 @ X2 @ X3))) => ($true != (member @ X0 @ X1 @ X3)))),
% 0.12/0.41 inference(flattening,[],[f601])).
% 0.12/0.41 thf(f601,plain,(
% 0.12/0.41 ! [X0 : $tType,X1 : X0,X2 : set @ X0,X3 : set @ X0] : (($true = (member @ X0 @ X1 @ (minus_minus @ set @ X0 @ X2 @ X3))) => ~($true = (member @ X0 @ X1 @ X3)))),
% 0.12/0.41 inference(fool_elimination,[],[f600])).
% 0.12/0.41 thf(f600,plain,(
% 0.12/0.41 ! [X0 : $tType,X1 : X0,X2 : set @ X0,X3 : set @ X0] : ((member @ X0 @ X1 @ (minus_minus @ set @ X0 @ X2 @ X3)) => ~(member @ X0 @ X1 @ X3))),
% 0.12/0.41 inference(rectify,[],[f23])).
% 0.12/0.41 thf(f23,axiom,(
% 0.12/0.41 ! [X0 : $tType,X12 : X0,X4 : set @ X0,X11 : set @ X0] : ((member @ X0 @ X12 @ (minus_minus @ set @ X0 @ X4 @ X11)) => ~(member @ X0 @ X12 @ X11))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_DiffD2)).
% 0.12/0.41 thf(f1154,plain,(
% 0.12/0.41 ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) = $true) | ($true != (member @ coinductive_llist @ a @ x @ (minus_minus @ set @ coinductive_llist @ a @ (lList2435255213lllsts @ a @ top_top @ set @ a) @ (lList2236698231inlsts @ a @ top_top @ set @ a))))),
% 0.12/0.41 inference(beta_eta_normalization,[],[f1112])).
% 0.12/0.41 thf(f1112,plain,(
% 0.12/0.41 ((member @ coinductive_llist @ a @ x @ ((^[Y0 : set @ a]: (minus_minus @ set @ coinductive_llist @ a @ (lList2435255213lllsts @ a @ Y0) @ (lList2236698231inlsts @ a @ top_top @ set @ a))) @ top_top @ set @ a)) != $true) | ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) = $true)),
% 0.12/0.41 inference(definition_unfolding,[],[f1005,f1036])).
% 0.12/0.41 thf(f1036,plain,(
% 0.12/0.41 ( ! [X0 : $tType] : ((lList21612149805nflsts @ X0 = (^[Y0 : set @ X0]: (minus_minus @ set @ coinductive_llist @ X0 @ (lList2435255213lllsts @ X0 @ Y0) @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0))))) )),
% 0.12/0.41 inference(cnf_transformation,[],[f453])).
% 0.12/0.41 thf(f453,plain,(
% 0.12/0.41 ! [X0 : $tType] : (lList21612149805nflsts @ X0 = (^[Y0 : set @ X0]: (minus_minus @ set @ coinductive_llist @ X0 @ (lList2435255213lllsts @ X0 @ Y0) @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0))))),
% 0.12/0.41 inference(fool_elimination,[],[f452])).
% 0.12/0.41 thf(f452,plain,(
% 0.12/0.41 ! [X0 : $tType] : ((^[X1 : set @ X0] : (minus_minus @ set @ coinductive_llist @ X0 @ (lList2435255213lllsts @ X0 @ X1) @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0))) = lList21612149805nflsts @ X0)),
% 0.12/0.41 inference(rectify,[],[f15])).
% 0.12/0.41 thf(f15,axiom,(
% 0.12/0.41 ! [X0 : $tType] : ((^[X10 : set @ X0] : (minus_minus @ set @ coinductive_llist @ X0 @ (lList2435255213lllsts @ X0 @ X10) @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0))) = lList21612149805nflsts @ X0)),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_inflsts__def)).
% 0.12/0.41 thf(f1005,plain,(
% 0.12/0.41 ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) = $true) | ((member @ coinductive_llist @ a @ x @ (lList21612149805nflsts @ a @ top_top @ set @ a)) != $true)),
% 0.12/0.41 inference(cnf_transformation,[],[f898])).
% 0.12/0.41 thf(f898,plain,(
% 0.12/0.41 (((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) != $true) | ((member @ coinductive_llist @ a @ x @ (lList21612149805nflsts @ a @ top_top @ set @ a)) = $true)) & (((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) = $true) | ((member @ coinductive_llist @ a @ x @ (lList21612149805nflsts @ a @ top_top @ set @ a)) != $true))),
% 0.12/0.41 inference(nnf_transformation,[],[f844])).
% 0.12/0.41 thf(f844,plain,(
% 0.12/0.41 ((member @ coinductive_llist @ a @ x @ (lList21612149805nflsts @ a @ top_top @ set @ a)) != $true) <~> ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) = $true)),
% 0.12/0.41 inference(ennf_transformation,[],[f760])).
% 0.12/0.41 thf(f760,plain,(
% 0.12/0.41 ~(((member @ coinductive_llist @ a @ x @ (lList21612149805nflsts @ a @ top_top @ set @ a)) != $true) <=> ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) = $true))),
% 0.12/0.41 inference(flattening,[],[f563])).
% 0.12/0.41 thf(f563,plain,(
% 0.12/0.41 ~(~((member @ coinductive_llist @ a @ x @ (lList21612149805nflsts @ a @ top_top @ set @ a)) = $true) <=> ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) = $true))),
% 0.12/0.41 inference(fool_elimination,[],[f562])).
% 0.12/0.41 thf(f562,plain,(
% 0.12/0.41 ~(~(member @ coinductive_llist @ a @ x @ (lList21612149805nflsts @ a @ top_top @ set @ a)) = (member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)))),
% 0.12/0.41 inference(rectify,[],[f300])).
% 0.12/0.41 thf(f300,negated_conjecture,(
% 0.12/0.41 ~(~(member @ coinductive_llist @ a @ x @ (lList21612149805nflsts @ a @ top_top @ set @ a)) = (member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)))),
% 0.12/0.41 inference(negated_conjecture,[],[f299])).
% 0.12/0.41 thf(f299,conjecture,(
% 0.12/0.41 (~(member @ coinductive_llist @ a @ x @ (lList21612149805nflsts @ a @ top_top @ set @ a)) = (member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.12/0.41 thf(f1153,plain,(
% 0.12/0.41 ($true = (member @ coinductive_llist @ a @ x @ (minus_minus @ set @ coinductive_llist @ a @ (lList2435255213lllsts @ a @ top_top @ set @ a) @ (lList2236698231inlsts @ a @ top_top @ set @ a)))) | ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) != $true)),
% 0.12/0.41 inference(beta_eta_normalization,[],[f1111])).
% 0.12/0.41 thf(f1111,plain,(
% 0.12/0.41 ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) != $true) | ((member @ coinductive_llist @ a @ x @ ((^[Y0 : set @ a]: (minus_minus @ set @ coinductive_llist @ a @ (lList2435255213lllsts @ a @ Y0) @ (lList2236698231inlsts @ a @ top_top @ set @ a))) @ top_top @ set @ a)) = $true)),
% 0.12/0.41 inference(definition_unfolding,[],[f1006,f1036])).
% 0.12/0.41 thf(f1006,plain,(
% 0.12/0.41 ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) != $true) | ((member @ coinductive_llist @ a @ x @ (lList21612149805nflsts @ a @ top_top @ set @ a)) = $true)),
% 0.12/0.41 inference(cnf_transformation,[],[f898])).
% 0.12/0.41 thf(f1178,plain,(
% 0.12/0.41 ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) = $true)),
% 0.12/0.41 inference(subsumption_resolution,[],[f1176,f984])).
% 0.12/0.41 thf(f984,plain,(
% 0.12/0.41 ( ! [X0 : $tType,X1 : coinductive_llist @ X0] : (((member @ coinductive_llist @ X0 @ X1 @ (lList2435255213lllsts @ X0 @ top_top @ set @ X0)) = $true)) )),
% 0.12/0.41 inference(cnf_transformation,[],[f743])).
% 0.12/0.41 thf(f743,plain,(
% 0.12/0.41 ! [X0 : $tType,X1 : coinductive_llist @ X0] : ((member @ coinductive_llist @ X0 @ X1 @ (lList2435255213lllsts @ X0 @ top_top @ set @ X0)) = $true)),
% 0.12/0.41 inference(fool_elimination,[],[f742])).
% 0.12/0.41 thf(f742,plain,(
% 0.12/0.41 ! [X0 : $tType,X1 : coinductive_llist @ X0] : (member @ coinductive_llist @ X0 @ X1 @ (lList2435255213lllsts @ X0 @ top_top @ set @ X0))),
% 0.12/0.41 inference(rectify,[],[f14])).
% 0.12/0.41 thf(f14,axiom,(
% 0.12/0.41 ! [X0 : $tType,X9 : coinductive_llist @ X0] : (member @ coinductive_llist @ X0 @ X9 @ (lList2435255213lllsts @ X0 @ top_top @ set @ X0))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_alllsts__UNIV)).
% 0.12/0.41 thf(f1176,plain,(
% 0.12/0.41 ((member @ coinductive_llist @ a @ x @ (lList2435255213lllsts @ a @ top_top @ set @ a)) != $true) | ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) = $true)),
% 0.12/0.41 inference(trivial_inequality_removal,[],[f1167])).
% 0.12/0.41 thf(f1167,plain,(
% 0.12/0.41 ((member @ coinductive_llist @ a @ x @ (lList2435255213lllsts @ a @ top_top @ set @ a)) != $true) | ($true != $true) | ((member @ coinductive_llist @ a @ x @ (lList2236698231inlsts @ a @ top_top @ set @ a)) = $true)),
% 0.12/0.41 inference(superposition,[],[f1155,f1144])).
% 0.12/0.41 thf(f1144,plain,(
% 0.12/0.41 ( ! [X0 : $tType,X2 : set @ X0,X1 : coinductive_llist @ X0] : (((member @ coinductive_llist @ X0 @ X1 @ (minus_minus @ set @ coinductive_llist @ X0 @ (lList2435255213lllsts @ X0 @ X2) @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0))) = $true) | ((member @ coinductive_llist @ X0 @ X1 @ (lList2435255213lllsts @ X0 @ X2)) != $true) | ($true = (member @ coinductive_llist @ X0 @ X1 @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0)))) )),
% 0.12/0.41 inference(beta_eta_normalization,[],[f1109])).
% 0.12/0.41 thf(f1109,plain,(
% 0.12/0.41 ( ! [X0 : $tType,X2 : set @ X0,X1 : coinductive_llist @ X0] : (((member @ coinductive_llist @ X0 @ X1 @ ((^[Y0 : set @ X0]: (minus_minus @ set @ coinductive_llist @ X0 @ (lList2435255213lllsts @ X0 @ Y0) @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0))) @ X2)) = $true) | ((member @ coinductive_llist @ X0 @ X1 @ (lList2435255213lllsts @ X0 @ X2)) != $true) | ($true = (member @ coinductive_llist @ X0 @ X1 @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0)))) )),
% 0.12/0.41 inference(definition_unfolding,[],[f991,f1036])).
% 0.12/0.41 thf(f991,plain,(
% 0.12/0.41 ( ! [X0 : $tType,X2 : set @ X0,X1 : coinductive_llist @ X0] : (($true = (member @ coinductive_llist @ X0 @ X1 @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0))) | ((member @ coinductive_llist @ X0 @ X1 @ (lList2435255213lllsts @ X0 @ X2)) != $true) | ($true = (member @ coinductive_llist @ X0 @ X1 @ (lList21612149805nflsts @ X0 @ X2)))) )),
% 0.12/0.41 inference(cnf_transformation,[],[f857])).
% 0.12/0.41 thf(f857,plain,(
% 0.12/0.41 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : set @ X0] : (($true = (member @ coinductive_llist @ X0 @ X1 @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0))) | ((member @ coinductive_llist @ X0 @ X1 @ (lList2435255213lllsts @ X0 @ X2)) != $true) | ($true = (member @ coinductive_llist @ X0 @ X1 @ (lList21612149805nflsts @ X0 @ X2))))),
% 0.12/0.41 inference(flattening,[],[f856])).
% 0.12/0.41 thf(f856,plain,(
% 0.12/0.41 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : set @ X0] : ((($true = (member @ coinductive_llist @ X0 @ X1 @ (lList21612149805nflsts @ X0 @ X2))) | ($true = (member @ coinductive_llist @ X0 @ X1 @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0)))) | ((member @ coinductive_llist @ X0 @ X1 @ (lList2435255213lllsts @ X0 @ X2)) != $true))),
% 0.12/0.41 inference(ennf_transformation,[],[f765])).
% 0.12/0.41 thf(f765,plain,(
% 0.12/0.41 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : set @ X0] : (((member @ coinductive_llist @ X0 @ X1 @ (lList2435255213lllsts @ X0 @ X2)) = $true) => (($true != (member @ coinductive_llist @ X0 @ X1 @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0))) => ($true = (member @ coinductive_llist @ X0 @ X1 @ (lList21612149805nflsts @ X0 @ X2)))))),
% 0.12/0.41 inference(flattening,[],[f443])).
% 0.12/0.41 thf(f443,plain,(
% 0.12/0.41 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : set @ X0] : (((member @ coinductive_llist @ X0 @ X1 @ (lList2435255213lllsts @ X0 @ X2)) = $true) => (~($true = (member @ coinductive_llist @ X0 @ X1 @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0))) => ($true = (member @ coinductive_llist @ X0 @ X1 @ (lList21612149805nflsts @ X0 @ X2)))))),
% 0.12/0.41 inference(fool_elimination,[],[f442])).
% 0.12/0.41 thf(f442,plain,(
% 0.12/0.41 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : set @ X0] : ((member @ coinductive_llist @ X0 @ X1 @ (lList2435255213lllsts @ X0 @ X2)) => (~(member @ coinductive_llist @ X0 @ X1 @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0)) => (member @ coinductive_llist @ X0 @ X1 @ (lList21612149805nflsts @ X0 @ X2))))),
% 0.12/0.41 inference(rectify,[],[f9])).
% 0.12/0.41 thf(f9,axiom,(
% 0.12/0.41 ! [X0 : $tType,X2 : coinductive_llist @ X0,X4 : set @ X0] : ((member @ coinductive_llist @ X0 @ X2 @ (lList2435255213lllsts @ X0 @ X4)) => (~(member @ coinductive_llist @ X0 @ X2 @ (lList2236698231inlsts @ X0 @ top_top @ set @ X0)) => (member @ coinductive_llist @ X0 @ X2 @ (lList21612149805nflsts @ X0 @ X4))))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_inflstsI)).
% 0.12/0.41 % SZS output end Proof for theBenchmark
% 0.12/0.41 % (17202)------------------------------
% 0.12/0.41 % (17202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.41 % (17202)Termination reason: Refutation
% 0.12/0.41
% 0.12/0.41 % (17202)Memory used [KB]: 6524
% 0.12/0.41 % (17202)Time elapsed: 0.035 s
% 0.12/0.41 % (17202)Instructions burned: 66 (million)
% 0.12/0.41 % (17202)------------------------------
% 0.12/0.41 % (17202)------------------------------
% 0.12/0.41 % (17196)Success in time 0.058 s
% 0.12/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------