TSTP Solution File: ITP115^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP115^2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 22:33:45 EDT 2024
% Result : Theorem 0.23s 0.47s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ITP115^2 : TPTP v8.2.0. Released v7.5.0.
% 0.08/0.15 % 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
% 0.15/0.37 % Computer : n016.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 17:00:22 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH1_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % (19187)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)
% 0.23/0.41 % (19180)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.41 % (19182)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)
% 0.23/0.41 % (19187)Instruction limit reached!
% 0.23/0.41 % (19187)------------------------------
% 0.23/0.41 % (19187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (19187)Termination reason: Unknown
% 0.23/0.41 % (19187)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (19187)Memory used [KB]: 1407
% 0.23/0.41 % (19187)Time elapsed: 0.003 s
% 0.23/0.41 % (19187)Instructions burned: 3 (million)
% 0.23/0.41 % (19187)------------------------------
% 0.23/0.41 % (19187)------------------------------
% 0.23/0.41 % (19185)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)
% 0.23/0.41 % (19183)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.41 % (19183)Instruction limit reached!
% 0.23/0.41 % (19183)------------------------------
% 0.23/0.41 % (19183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (19183)Termination reason: Unknown
% 0.23/0.41 % (19183)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (19183)Memory used [KB]: 1407
% 0.23/0.41 % (19183)Time elapsed: 0.003 s
% 0.23/0.41 % (19183)Instructions burned: 3 (million)
% 0.23/0.41 % (19183)------------------------------
% 0.23/0.41 % (19183)------------------------------
% 0.23/0.42 % (19184)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)
% 0.23/0.42 % (19181)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)
% 0.23/0.42 % (19184)Instruction limit reached!
% 0.23/0.42 % (19184)------------------------------
% 0.23/0.42 % (19184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (19184)Termination reason: Unknown
% 0.23/0.42 % (19184)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (19184)Memory used [KB]: 1279
% 0.23/0.42 % (19184)Time elapsed: 0.003 s
% 0.23/0.42 % (19184)Instructions burned: 2 (million)
% 0.23/0.42 % (19184)------------------------------
% 0.23/0.42 % (19184)------------------------------
% 0.23/0.42 % (19181)Instruction limit reached!
% 0.23/0.42 % (19181)------------------------------
% 0.23/0.42 % (19181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (19181)Termination reason: Unknown
% 0.23/0.42 % (19181)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (19181)Memory used [KB]: 1407
% 0.23/0.42 % (19181)Time elapsed: 0.005 s
% 0.23/0.42 % (19181)Instructions burned: 5 (million)
% 0.23/0.42 % (19181)------------------------------
% 0.23/0.42 % (19181)------------------------------
% 0.23/0.42 % (19182)Instruction limit reached!
% 0.23/0.42 % (19182)------------------------------
% 0.23/0.42 % (19182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (19182)Termination reason: Unknown
% 0.23/0.42 % (19182)Termination phase: Property scanning
% 0.23/0.42
% 0.23/0.42 % (19182)Memory used [KB]: 1791
% 0.23/0.42 % (19182)Time elapsed: 0.019 s
% 0.23/0.42 % (19182)Instructions burned: 28 (million)
% 0.23/0.42 % (19182)------------------------------
% 0.23/0.42 % (19182)------------------------------
% 0.23/0.42 % (19186)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.42 % (19188)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)
% 0.23/0.43 % (19189)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)
% 0.23/0.43 % (19191)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)
% 0.23/0.43 % (19186)Instruction limit reached!
% 0.23/0.43 % (19186)------------------------------
% 0.23/0.43 % (19186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (19192)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.43 % (19186)Termination reason: Unknown
% 0.23/0.43 % (19186)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (19186)Memory used [KB]: 1791
% 0.23/0.43 % (19186)Time elapsed: 0.015 s
% 0.23/0.43 % (19186)Instructions burned: 18 (million)
% 0.23/0.43 % (19186)------------------------------
% 0.23/0.43 % (19186)------------------------------
% 0.23/0.44 % (19190)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)
% 0.23/0.44 % (19192)Instruction limit reached!
% 0.23/0.44 % (19192)------------------------------
% 0.23/0.44 % (19192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (19192)Termination reason: Unknown
% 0.23/0.44 % (19192)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (19192)Memory used [KB]: 1535
% 0.23/0.44 % (19192)Time elapsed: 0.005 s
% 0.23/0.44 % (19192)Instructions burned: 7 (million)
% 0.23/0.44 % (19192)------------------------------
% 0.23/0.44 % (19192)------------------------------
% 0.23/0.44 % (19190)Instruction limit reached!
% 0.23/0.44 % (19190)------------------------------
% 0.23/0.44 % (19190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (19190)Termination reason: Unknown
% 0.23/0.44 % (19190)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (19190)Memory used [KB]: 1407
% 0.23/0.44 % (19190)Time elapsed: 0.004 s
% 0.23/0.44 % (19190)Instructions burned: 3 (million)
% 0.23/0.44 % (19190)------------------------------
% 0.23/0.44 % (19190)------------------------------
% 0.23/0.44 % (19188)Instruction limit reached!
% 0.23/0.44 % (19188)------------------------------
% 0.23/0.44 % (19188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (19188)Termination reason: Unknown
% 0.23/0.44 % (19188)Termination phase: Property scanning
% 0.23/0.44
% 0.23/0.44 % (19188)Memory used [KB]: 2046
% 0.23/0.44 % (19188)Time elapsed: 0.019 s
% 0.23/0.44 % (19188)Instructions burned: 38 (million)
% 0.23/0.44 % (19188)------------------------------
% 0.23/0.44 % (19188)------------------------------
% 0.23/0.44 % (19189)Instruction limit reached!
% 0.23/0.44 % (19189)------------------------------
% 0.23/0.44 % (19189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (19189)Termination reason: Unknown
% 0.23/0.44 % (19189)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (19189)Memory used [KB]: 1663
% 0.23/0.44 % (19189)Time elapsed: 0.012 s
% 0.23/0.44 % (19189)Instructions burned: 15 (million)
% 0.23/0.44 % (19189)------------------------------
% 0.23/0.44 % (19189)------------------------------
% 0.23/0.45 % (19193)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.45 % (19194)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)
% 0.23/0.45 % (19195)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)
% 0.23/0.46 % (19197)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)
% 0.23/0.46 % (19194)Instruction limit reached!
% 0.23/0.46 % (19194)------------------------------
% 0.23/0.46 % (19194)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (19194)Termination reason: Unknown
% 0.23/0.46 % (19194)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (19194)Memory used [KB]: 1407
% 0.23/0.46 % (19194)Time elapsed: 0.004 s
% 0.23/0.46 % (19194)Instructions burned: 3 (million)
% 0.23/0.46 % (19194)------------------------------
% 0.23/0.46 % (19194)------------------------------
% 0.23/0.46 % (19195)Instruction limit reached!
% 0.23/0.46 % (19195)------------------------------
% 0.23/0.46 % (19195)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (19195)Termination reason: Unknown
% 0.23/0.46 % (19197)Instruction limit reached!
% 0.23/0.46 % (19197)------------------------------
% 0.23/0.46 % (19197)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (19195)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (19195)Memory used [KB]: 1407
% 0.23/0.46 % (19195)Time elapsed: 0.004 s
% 0.23/0.46 % (19195)Instructions burned: 4 (million)
% 0.23/0.46 % (19195)------------------------------
% 0.23/0.46 % (19195)------------------------------
% 0.23/0.46 % (19197)Termination reason: Unknown
% 0.23/0.46 % (19197)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (19197)Memory used [KB]: 1407
% 0.23/0.46 % (19197)Time elapsed: 0.003 s
% 0.23/0.46 % (19197)Instructions burned: 4 (million)
% 0.23/0.46 % (19197)------------------------------
% 0.23/0.46 % (19197)------------------------------
% 0.23/0.46 % (19196)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)
% 0.23/0.46 % (19193)Instruction limit reached!
% 0.23/0.46 % (19193)------------------------------
% 0.23/0.46 % (19193)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (19193)Termination reason: Unknown
% 0.23/0.46 % (19193)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (19193)Memory used [KB]: 1663
% 0.23/0.46 % (19193)Time elapsed: 0.013 s
% 0.23/0.46 % (19193)Instructions burned: 16 (million)
% 0.23/0.46 % (19193)------------------------------
% 0.23/0.46 % (19193)------------------------------
% 0.23/0.46 % (19196)Instruction limit reached!
% 0.23/0.46 % (19196)------------------------------
% 0.23/0.46 % (19196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (19196)Termination reason: Unknown
% 0.23/0.46 % (19196)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (19196)Memory used [KB]: 1535
% 0.23/0.46 % (19196)Time elapsed: 0.007 s
% 0.23/0.46 % (19196)Instructions burned: 8 (million)
% 0.23/0.46 % (19196)------------------------------
% 0.23/0.46 % (19196)------------------------------
% 0.23/0.46 % (19185)First to succeed.
% 0.23/0.47 % (19185)Refutation found. Thanks to Tanya!
% 0.23/0.47 % SZS status Theorem for theBenchmark
% 0.23/0.47 % SZS output start Proof for theBenchmark
% 0.23/0.47 thf(type_def_5, type, set: ($tType) > $tType).
% 0.23/0.47 thf(type_def_7, type, filter: ($tType) > $tType).
% 0.23/0.47 thf(type_def_8, type, b: $tType).
% 0.23/0.47 thf(type_def_9, type, a: $tType).
% 0.23/0.47 thf(type_def_10, type, nat: $tType).
% 0.23/0.47 thf(func_def_0, type, filter: ($tType) > $tType).
% 0.23/0.47 thf(func_def_1, type, set: ($tType) > $tType).
% 0.23/0.47 thf(func_def_2, type, nat: $tType).
% 0.23/0.47 thf(func_def_3, type, b: $tType).
% 0.23/0.47 thf(func_def_4, type, a: $tType).
% 0.23/0.47 thf(func_def_5, type, topolo2117631714pology: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_6, type, comple1035589618norder: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_7, type, finite_finite: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_8, type, bounded_lattice: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_9, type, type: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_10, type, countable: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_11, type, minus: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_12, type, bot: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_13, type, ord: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_14, type, top: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_15, type, order: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_16, type, group_add: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_17, type, lattice: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_18, type, linorder: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_19, type, preorder: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_20, type, order_bot: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_21, type, semilattice_inf: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_22, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_23, type, topological_t0_space: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_24, type, topological_t1_space: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_25, type, topological_t2_space: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_26, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_27, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_28, type, topolo890362671_space: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_29, type, topolo47006728_space: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_30, type, topolo2133971006pology: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_31, type, topolo503727757_space: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_32, type, topolo2135403230pology: !>[X0: $tType]:($o)).
% 0.23/0.47 thf(func_def_33, type, elementary_closure: !>[X0: $tType]:(set @ X0 > set @ X0)).
% 0.23/0.47 thf(func_def_34, type, minus_minus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.23/0.47 thf(func_def_35, type, inf_inf: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.23/0.47 thf(func_def_36, type, lower_582600101lsc_at: !>[X0: $tType, X1: $tType]:(X0 > (X0 > X1) > $o)).
% 0.23/0.47 thf(func_def_37, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.23/0.47 thf(func_def_38, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.23/0.47 thf(func_def_39, type, top_top: !>[X0: $tType]:(X0)).
% 0.23/0.47 thf(func_def_40, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.23/0.47 thf(func_def_41, type, insert: !>[X0: $tType]:(X0 > set @ X0 > set @ X0)).
% 0.23/0.47 thf(func_def_42, type, is_empty: !>[X0: $tType]:(set @ X0 > $o)).
% 0.23/0.47 thf(func_def_43, type, is_singleton: !>[X0: $tType]:(set @ X0 > $o)).
% 0.23/0.47 thf(func_def_44, type, remove: !>[X0: $tType]:(X0 > set @ X0 > set @ X0)).
% 0.23/0.47 thf(func_def_45, type, the_elem: !>[X0: $tType]:(set @ X0 > X0)).
% 0.23/0.47 thf(func_def_46, type, topolo1751647064n_open: !>[X0: $tType]:(set @ X0 > $o)).
% 0.23/0.47 thf(func_def_47, type, topolo507301023within: !>[X0: $tType]:(X0 > set @ X0 > filter @ X0)).
% 0.23/0.47 thf(func_def_48, type, topolo406746546ounded: !>[X0: $tType]:(set @ X0 > $o)).
% 0.23/0.47 thf(func_def_49, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.23/0.47 thf(func_def_50, type, a2: b).
% 0.23/0.47 thf(func_def_51, type, f: a > b).
% 0.23/0.47 thf(func_def_53, type, x0: a).
% 0.23/0.47 thf(func_def_66, type, sK0: !>[X0: $tType]:(set @ X0 > X0)).
% 0.23/0.47 thf(func_def_67, type, sK1: !>[X0: $tType]:(set @ X0 > X0)).
% 0.23/0.47 thf(func_def_68, type, sK2: !>[X0: $tType, X1: $tType]:((X0 > X1) > X0)).
% 0.23/0.47 thf(func_def_69, type, sK3: !>[X0: $tType, X1: $tType]:((X0 > X1) > X0)).
% 0.23/0.47 thf(func_def_70, type, sK4: !>[X0: $tType]:(set @ X0 > X0)).
% 0.23/0.47 thf(func_def_71, type, sK5: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.23/0.47 thf(func_def_72, type, sK6: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.23/0.47 thf(func_def_73, type, sK7: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 0.23/0.47 thf(func_def_74, type, sK8: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 0.23/0.47 thf(func_def_75, type, sK9: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 0.23/0.47 thf(func_def_76, type, sK10: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 0.23/0.47 thf(func_def_77, type, sK11: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 0.23/0.47 thf(func_def_78, type, sK12: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 0.23/0.47 thf(func_def_79, type, sK13: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 0.23/0.47 thf(func_def_80, type, sK14: !>[X0: $tType]:((X0 > X0 > X0) > X0)).
% 0.23/0.47 thf(func_def_81, type, sK15: !>[X0: $tType, X1: $tType]:((X1 > X0) > X1)).
% 0.23/0.47 thf(func_def_82, type, sK16: !>[X0: $tType, X1: $tType]:((X1 > X0) > X1)).
% 0.23/0.47 thf(func_def_83, type, sK17: set @ b).
% 0.23/0.47 thf(func_def_84, type, sK18: set @ b).
% 0.23/0.47 thf(func_def_85, type, sK19: set @ b > set @ a).
% 0.23/0.47 thf(func_def_86, type, sK20: !>[X0: $tType, X1: $tType]:((X1 > X0) > X1)).
% 0.23/0.47 thf(func_def_87, type, sK21: !>[X0: $tType, X1: $tType]:((X1 > X0) > X1)).
% 0.23/0.47 thf(func_def_88, type, sK22: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 0.23/0.47 thf(func_def_89, type, sK23: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 0.23/0.47 thf(func_def_90, type, sK24: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 0.23/0.47 thf(func_def_91, type, sK25: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 0.23/0.47 thf(func_def_92, type, sK26: !>[X0: $tType, X1: $tType]:((X0 > X1) > X0)).
% 0.23/0.47 thf(func_def_93, type, sK27: !>[X0: $tType, X1: $tType]:((X0 > X1) > X0)).
% 0.23/0.47 thf(func_def_94, type, sK28: !>[X0: $tType]:(set @ X0 > X0)).
% 0.23/0.47 thf(func_def_95, type, sK29: !>[X0: $tType]:(X0 > nat > set @ X0)).
% 0.23/0.47 thf(func_def_96, type, sK30: !>[X0: $tType]:(set @ X0 > X0 > nat)).
% 0.23/0.47 thf(func_def_97, type, sK31: !>[X0: $tType]:(set @ X0 > X0)).
% 0.23/0.47 thf(func_def_99, type, ph33: !>[X0: $tType]:(X0)).
% 0.23/0.47 thf(f1505,plain,(
% 0.23/0.47 $false),
% 0.23/0.47 inference(avatar_sat_refutation,[],[f1472,f1480,f1484,f1500,f1504])).
% 0.23/0.47 thf(f1504,plain,(
% 0.23/0.47 spl32_4),
% 0.23/0.47 inference(avatar_contradiction_clause,[],[f1503])).
% 0.23/0.47 thf(f1503,plain,(
% 0.23/0.47 $false | spl32_4),
% 0.23/0.47 inference(subsumption_resolution,[],[f1502,f1327])).
% 0.23/0.47 thf(f1327,plain,(
% 0.23/0.47 (a2 != (f @ x0))),
% 0.23/0.47 inference(cnf_transformation,[],[f1])).
% 0.23/0.47 thf(f1,axiom,(
% 0.23/0.47 (a2 != (f @ x0))),
% 0.23/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062)).
% 0.23/0.47 thf(f1502,plain,(
% 0.23/0.47 (a2 = (f @ x0)) | spl32_4),
% 0.23/0.47 inference(trivial_inequality_removal,[],[f1501])).
% 0.23/0.47 thf(f1501,plain,(
% 0.23/0.47 ($true != $true) | (a2 = (f @ x0)) | spl32_4),
% 0.23/0.47 inference(superposition,[],[f1471,f1287])).
% 0.23/0.47 thf(f1287,plain,(
% 0.23/0.47 ($true = (topolo1751647064n_open @ b @ sK17)) | (a2 = (f @ x0))),
% 0.23/0.47 inference(cnf_transformation,[],[f1190])).
% 0.23/0.47 thf(f1190,plain,(
% 0.23/0.47 (a2 = (f @ x0)) | ((bot_bot @ set @ b = (inf_inf @ set @ b @ sK17 @ sK18)) & ($true = (topolo1751647064n_open @ b @ sK18)) & ((member @ b @ a2 @ sK18) = $true) & ($true = (member @ b @ (f @ x0) @ sK17)) & ($true = (topolo1751647064n_open @ b @ sK17)))),
% 0.23/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f1068,f1189])).
% 0.23/0.47 thf(f1189,plain,(
% 0.23/0.47 ? [X0 : set @ b,X1 : set @ b] : ((bot_bot @ set @ b = (inf_inf @ set @ b @ X0 @ X1)) & ((topolo1751647064n_open @ b @ X1) = $true) & ($true = (member @ b @ a2 @ X1)) & ($true = (member @ b @ (f @ x0) @ X0)) & ($true = (topolo1751647064n_open @ b @ X0))) => ((bot_bot @ set @ b = (inf_inf @ set @ b @ sK17 @ sK18)) & ($true = (topolo1751647064n_open @ b @ sK18)) & ((member @ b @ a2 @ sK18) = $true) & ($true = (member @ b @ (f @ x0) @ sK17)) & ($true = (topolo1751647064n_open @ b @ sK17)))),
% 0.23/0.47 introduced(choice_axiom,[])).
% 0.23/0.47 thf(f1068,plain,(
% 0.23/0.47 (a2 = (f @ x0)) | ? [X0 : set @ b,X1 : set @ b] : ((bot_bot @ set @ b = (inf_inf @ set @ b @ X0 @ X1)) & ((topolo1751647064n_open @ b @ X1) = $true) & ($true = (member @ b @ a2 @ X1)) & ($true = (member @ b @ (f @ x0) @ X0)) & ($true = (topolo1751647064n_open @ b @ X0)))),
% 0.23/0.47 inference(ennf_transformation,[],[f372])).
% 0.23/0.47 thf(f372,plain,(
% 0.23/0.47 (a2 != (f @ x0)) => ? [X0 : set @ b,X1 : set @ b] : ((bot_bot @ set @ b = (inf_inf @ set @ b @ X0 @ X1)) & ((topolo1751647064n_open @ b @ X1) = $true) & ($true = (member @ b @ a2 @ X1)) & ($true = (member @ b @ (f @ x0) @ X0)) & ($true = (topolo1751647064n_open @ b @ X0)))),
% 0.23/0.47 inference(fool_elimination,[],[f371])).
% 0.23/0.47 thf(f371,plain,(
% 0.23/0.47 (a2 != (f @ x0)) => ? [X0 : set @ b,X1 : set @ b] : ((bot_bot @ set @ b = (inf_inf @ set @ b @ X0 @ X1)) & (topolo1751647064n_open @ b @ X0) & (topolo1751647064n_open @ b @ X1) & (member @ b @ (f @ x0) @ X0) & (member @ b @ a2 @ X1))),
% 0.23/0.47 inference(rectify,[],[f2])).
% 0.23/0.47 thf(f2,axiom,(
% 0.23/0.47 (a2 != (f @ x0)) => ? [X2 : set @ b,X3 : set @ b] : (((inf_inf @ set @ b @ X2 @ X3) = bot_bot @ set @ b) & (topolo1751647064n_open @ b @ X2) & (topolo1751647064n_open @ b @ X3) & (member @ b @ (f @ x0) @ X2) & (member @ b @ a2 @ X3))),
% 0.23/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062)).
% 0.23/0.47 thf(f1471,plain,(
% 0.23/0.47 ($true != (topolo1751647064n_open @ b @ sK17)) | spl32_4),
% 0.23/0.47 inference(avatar_component_clause,[],[f1469])).
% 0.23/0.47 thf(f1469,plain,(
% 0.23/0.47 spl32_4 <=> ($true = (topolo1751647064n_open @ b @ sK17))),
% 0.23/0.47 introduced(avatar_definition,[new_symbols(naming,[spl32_4])])).
% 0.23/0.47 thf(f1500,plain,(
% 0.23/0.47 spl32_3),
% 0.23/0.47 inference(avatar_contradiction_clause,[],[f1499])).
% 0.23/0.47 thf(f1499,plain,(
% 0.23/0.47 $false | spl32_3),
% 0.23/0.47 inference(subsumption_resolution,[],[f1498,f1327])).
% 0.23/0.47 thf(f1498,plain,(
% 0.23/0.47 (a2 = (f @ x0)) | spl32_3),
% 0.23/0.47 inference(trivial_inequality_removal,[],[f1497])).
% 0.23/0.47 thf(f1497,plain,(
% 0.23/0.47 ($true != $true) | (a2 = (f @ x0)) | spl32_3),
% 0.23/0.47 inference(superposition,[],[f1467,f1288])).
% 0.23/0.47 thf(f1288,plain,(
% 0.23/0.47 ($true = (member @ b @ (f @ x0) @ sK17)) | (a2 = (f @ x0))),
% 0.23/0.47 inference(cnf_transformation,[],[f1190])).
% 0.23/0.47 thf(f1467,plain,(
% 0.23/0.47 ($true != (member @ b @ (f @ x0) @ sK17)) | spl32_3),
% 0.23/0.47 inference(avatar_component_clause,[],[f1465])).
% 0.23/0.47 thf(f1465,plain,(
% 0.23/0.47 spl32_3 <=> ($true = (member @ b @ (f @ x0) @ sK17))),
% 0.23/0.47 introduced(avatar_definition,[new_symbols(naming,[spl32_3])])).
% 0.23/0.47 thf(f1484,plain,(
% 0.23/0.47 spl32_2),
% 0.23/0.47 inference(avatar_contradiction_clause,[],[f1483])).
% 0.23/0.47 thf(f1483,plain,(
% 0.23/0.47 $false | spl32_2),
% 0.23/0.47 inference(subsumption_resolution,[],[f1482,f1327])).
% 0.23/0.47 thf(f1482,plain,(
% 0.23/0.47 (a2 = (f @ x0)) | spl32_2),
% 0.23/0.47 inference(trivial_inequality_removal,[],[f1481])).
% 0.23/0.47 thf(f1481,plain,(
% 0.23/0.47 ($true != $true) | (a2 = (f @ x0)) | spl32_2),
% 0.23/0.47 inference(superposition,[],[f1463,f1290])).
% 0.23/0.47 thf(f1290,plain,(
% 0.23/0.47 ($true = (topolo1751647064n_open @ b @ sK18)) | (a2 = (f @ x0))),
% 0.23/0.47 inference(cnf_transformation,[],[f1190])).
% 0.23/0.47 thf(f1463,plain,(
% 0.23/0.47 ($true != (topolo1751647064n_open @ b @ sK18)) | spl32_2),
% 0.23/0.47 inference(avatar_component_clause,[],[f1461])).
% 0.23/0.47 thf(f1461,plain,(
% 0.23/0.47 spl32_2 <=> ($true = (topolo1751647064n_open @ b @ sK18))),
% 0.23/0.47 introduced(avatar_definition,[new_symbols(naming,[spl32_2])])).
% 0.23/0.47 thf(f1480,plain,(
% 0.23/0.47 spl32_1),
% 0.23/0.47 inference(avatar_contradiction_clause,[],[f1479])).
% 0.23/0.47 thf(f1479,plain,(
% 0.23/0.47 $false | spl32_1),
% 0.23/0.47 inference(subsumption_resolution,[],[f1478,f1327])).
% 0.23/0.47 thf(f1478,plain,(
% 0.23/0.47 (a2 = (f @ x0)) | spl32_1),
% 0.23/0.47 inference(trivial_inequality_removal,[],[f1477])).
% 0.23/0.47 thf(f1477,plain,(
% 0.23/0.47 ($true != $true) | (a2 = (f @ x0)) | spl32_1),
% 0.23/0.47 inference(superposition,[],[f1459,f1289])).
% 0.23/0.47 thf(f1289,plain,(
% 0.23/0.47 ((member @ b @ a2 @ sK18) = $true) | (a2 = (f @ x0))),
% 0.23/0.47 inference(cnf_transformation,[],[f1190])).
% 0.23/0.47 thf(f1459,plain,(
% 0.23/0.47 ((member @ b @ a2 @ sK18) != $true) | spl32_1),
% 0.23/0.47 inference(avatar_component_clause,[],[f1457])).
% 0.23/0.47 thf(f1457,plain,(
% 0.23/0.47 spl32_1 <=> ((member @ b @ a2 @ sK18) = $true)),
% 0.23/0.47 introduced(avatar_definition,[new_symbols(naming,[spl32_1])])).
% 0.23/0.47 thf(f1472,plain,(
% 0.23/0.47 ~spl32_1 | ~spl32_2 | ~spl32_3 | ~spl32_4),
% 0.23/0.47 inference(avatar_split_clause,[],[f1455,f1469,f1465,f1461,f1457])).
% 0.23/0.47 thf(f1455,plain,(
% 0.23/0.47 ($true != (topolo1751647064n_open @ b @ sK18)) | ($true != (member @ b @ (f @ x0) @ sK17)) | ($true != (topolo1751647064n_open @ b @ sK17)) | ((member @ b @ a2 @ sK18) != $true)),
% 0.23/0.47 inference(subsumption_resolution,[],[f1451,f1327])).
% 0.23/0.47 thf(f1451,plain,(
% 0.23/0.47 ($true != (member @ b @ (f @ x0) @ sK17)) | ($true != (topolo1751647064n_open @ b @ sK17)) | ((member @ b @ a2 @ sK18) != $true) | ($true != (topolo1751647064n_open @ b @ sK18)) | (a2 = (f @ x0))),
% 0.23/0.47 inference(trivial_inequality_removal,[],[f1416])).
% 0.23/0.47 thf(f1416,plain,(
% 0.23/0.47 (bot_bot @ set @ b != bot_bot @ set @ b) | (a2 = (f @ x0)) | ($true != (topolo1751647064n_open @ b @ sK17)) | ((member @ b @ a2 @ sK18) != $true) | ($true != (topolo1751647064n_open @ b @ sK18)) | ($true != (member @ b @ (f @ x0) @ sK17))),
% 0.23/0.47 inference(superposition,[],[f1415,f1291])).
% 0.23/0.47 thf(f1291,plain,(
% 0.23/0.47 (bot_bot @ set @ b = (inf_inf @ set @ b @ sK17 @ sK18)) | (a2 = (f @ x0))),
% 0.23/0.47 inference(cnf_transformation,[],[f1190])).
% 0.23/0.47 thf(f1415,plain,(
% 0.23/0.47 ( ! [X0 : set @ b,X1 : set @ b] : ((bot_bot @ set @ b != (inf_inf @ set @ b @ X0 @ X1)) | ($true != (topolo1751647064n_open @ b @ X0)) | ($true != (member @ b @ a2 @ X1)) | ((topolo1751647064n_open @ b @ X1) != $true) | ($true != (member @ b @ (f @ x0) @ X0))) )),
% 0.23/0.47 inference(subsumption_resolution,[],[f1248,f1393])).
% 0.23/0.47 thf(f1393,plain,(
% 0.23/0.47 (thesis != $true)),
% 0.23/0.47 inference(cnf_transformation,[],[f1013])).
% 0.23/0.47 thf(f1013,plain,(
% 0.23/0.47 (thesis != $true)),
% 0.23/0.47 inference(flattening,[],[f908])).
% 0.23/0.47 thf(f908,plain,(
% 0.23/0.47 ~(thesis = $true)),
% 0.23/0.47 inference(fool_elimination,[],[f907])).
% 0.23/0.47 thf(f907,plain,(
% 0.23/0.47 ~thesis),
% 0.23/0.47 inference(rectify,[],[f359])).
% 0.23/0.47 thf(f359,negated_conjecture,(
% 0.23/0.47 ~thesis),
% 0.23/0.47 inference(negated_conjecture,[],[f358])).
% 0.23/0.47 thf(f358,conjecture,(
% 0.23/0.47 thesis),
% 0.23/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.23/0.47 thf(f1248,plain,(
% 0.23/0.47 ( ! [X0 : set @ b,X1 : set @ b] : (($true != (member @ b @ a2 @ X1)) | ($true != (member @ b @ (f @ x0) @ X0)) | ((topolo1751647064n_open @ b @ X1) != $true) | (bot_bot @ set @ b != (inf_inf @ set @ b @ X0 @ X1)) | (thesis = $true) | ($true != (topolo1751647064n_open @ b @ X0))) )),
% 0.23/0.47 inference(cnf_transformation,[],[f1075])).
% 0.23/0.47 thf(f1075,plain,(
% 0.23/0.47 ! [X0 : set @ b,X1 : set @ b] : ((thesis = $true) | ((topolo1751647064n_open @ b @ X1) != $true) | (bot_bot @ set @ b != (inf_inf @ set @ b @ X0 @ X1)) | ($true != (topolo1751647064n_open @ b @ X0)) | ($true != (member @ b @ (f @ x0) @ X0)) | ($true != (member @ b @ a2 @ X1)))),
% 0.23/0.47 inference(flattening,[],[f1074])).
% 0.23/0.47 thf(f1074,plain,(
% 0.23/0.47 ! [X0 : set @ b,X1 : set @ b] : ((thesis = $true) | (((topolo1751647064n_open @ b @ X1) != $true) | ($true != (topolo1751647064n_open @ b @ X0)) | ($true != (member @ b @ a2 @ X1)) | ($true != (member @ b @ (f @ x0) @ X0)) | (bot_bot @ set @ b != (inf_inf @ set @ b @ X0 @ X1))))),
% 0.23/0.47 inference(ennf_transformation,[],[f426])).
% 0.23/0.47 thf(f426,plain,(
% 0.23/0.47 ! [X0 : set @ b,X1 : set @ b] : ((((topolo1751647064n_open @ b @ X1) = $true) & ($true = (topolo1751647064n_open @ b @ X0)) & ($true = (member @ b @ a2 @ X1)) & ($true = (member @ b @ (f @ x0) @ X0)) & (bot_bot @ set @ b = (inf_inf @ set @ b @ X0 @ X1))) => (thesis = $true))),
% 0.23/0.47 inference(fool_elimination,[],[f425])).
% 0.23/0.47 thf(f425,plain,(
% 0.23/0.47 ! [X0 : set @ b,X1 : set @ b] : (((bot_bot @ set @ b = (inf_inf @ set @ b @ X0 @ X1)) & (member @ b @ a2 @ X1) & (topolo1751647064n_open @ b @ X0) & (topolo1751647064n_open @ b @ X1) & (member @ b @ (f @ x0) @ X0)) => thesis)),
% 0.23/0.47 inference(rectify,[],[f357])).
% 0.23/0.47 thf(f357,axiom,(
% 0.23/0.47 ! [X19 : set @ b,X59 : set @ b] : (((bot_bot @ set @ b = (inf_inf @ set @ b @ X19 @ X59)) & (member @ b @ a2 @ X59) & (topolo1751647064n_open @ b @ X19) & (topolo1751647064n_open @ b @ X59) & (member @ b @ (f @ x0) @ X19)) => thesis)),
% 0.23/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.23/0.47 % SZS output end Proof for theBenchmark
% 0.23/0.47 % (19185)------------------------------
% 0.23/0.47 % (19185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (19185)Termination reason: Refutation
% 0.23/0.47
% 0.23/0.47 % (19185)Memory used [KB]: 6780
% 0.23/0.47 % (19185)Time elapsed: 0.061 s
% 0.23/0.47 % (19185)Instructions burned: 94 (million)
% 0.23/0.47 % (19185)------------------------------
% 0.23/0.47 % (19185)------------------------------
% 0.23/0.47 % (19179)Success in time 0.076 s
% 0.23/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------