TSTP Solution File: DAT153^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT153^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 19:49:52 EDT 2024
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : DAT153^1 : TPTP v8.2.0. Released v7.0.0.
% 0.07/0.14 % 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
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 23:30:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH1_THM_EQU_NAR problem
% 0.15/0.36 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
% 0.22/0.42 % (17745)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)
% 0.22/0.42 % (17744)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.42 % (17747)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.42 % (17748)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)
% 0.22/0.42 % (17750)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.42 % (17746)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)
% 0.22/0.42 % (17751)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)
% 0.22/0.42 % (17747)Instruction limit reached!
% 0.22/0.42 % (17747)------------------------------
% 0.22/0.42 % (17747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (17747)Termination reason: Unknown
% 0.22/0.42 % (17747)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (17749)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)
% 0.22/0.42 % (17747)Memory used [KB]: 1279
% 0.22/0.42 % (17747)Time elapsed: 0.004 s
% 0.22/0.42 % (17747)Instructions burned: 2 (million)
% 0.22/0.42 % (17747)------------------------------
% 0.22/0.42 % (17747)------------------------------
% 0.22/0.43 % (17748)Instruction limit reached!
% 0.22/0.43 % (17748)------------------------------
% 0.22/0.43 % (17748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (17748)Termination reason: Unknown
% 0.22/0.43 % (17748)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (17748)Memory used [KB]: 1279
% 0.22/0.43 % (17748)Time elapsed: 0.005 s
% 0.22/0.43 % (17748)Instructions burned: 2 (million)
% 0.22/0.43 % (17748)------------------------------
% 0.22/0.43 % (17748)------------------------------
% 0.22/0.43 % (17745)Instruction limit reached!
% 0.22/0.43 % (17745)------------------------------
% 0.22/0.43 % (17745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (17745)Termination reason: Unknown
% 0.22/0.43 % (17745)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (17745)Memory used [KB]: 1407
% 0.22/0.43 % (17745)Time elapsed: 0.006 s
% 0.22/0.43 % (17745)Instructions burned: 4 (million)
% 0.22/0.43 % (17745)------------------------------
% 0.22/0.43 % (17745)------------------------------
% 0.22/0.43 % (17751)Instruction limit reached!
% 0.22/0.43 % (17751)------------------------------
% 0.22/0.43 % (17751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (17751)Termination reason: Unknown
% 0.22/0.43 % (17751)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (17751)Memory used [KB]: 1279
% 0.22/0.43 % (17751)Time elapsed: 0.006 s
% 0.22/0.43 % (17751)Instructions burned: 3 (million)
% 0.22/0.43 % (17751)------------------------------
% 0.22/0.43 % (17751)------------------------------
% 0.22/0.44 % (17750)Instruction limit reached!
% 0.22/0.44 % (17750)------------------------------
% 0.22/0.44 % (17750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (17750)Termination reason: Unknown
% 0.22/0.44 % (17750)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (17750)Memory used [KB]: 1663
% 0.22/0.44 % (17750)Time elapsed: 0.014 s
% 0.22/0.44 % (17750)Instructions burned: 18 (million)
% 0.22/0.44 % (17750)------------------------------
% 0.22/0.44 % (17750)------------------------------
% 0.22/0.45 % (17746)Instruction limit reached!
% 0.22/0.45 % (17746)------------------------------
% 0.22/0.45 % (17746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (17746)Termination reason: Unknown
% 0.22/0.45 % (17746)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (17746)Memory used [KB]: 1663
% 0.22/0.45 % (17746)Time elapsed: 0.025 s
% 0.22/0.45 % (17746)Instructions burned: 27 (million)
% 0.22/0.45 % (17746)------------------------------
% 0.22/0.45 % (17746)------------------------------
% 0.22/0.45 % (17752)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)
% 0.22/0.45 % (17753)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)
% 0.22/0.45 % (17754)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)
% 0.22/0.45 % (17756)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.45 % (17755)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)
% 0.22/0.45 % (17754)Instruction limit reached!
% 0.22/0.45 % (17754)------------------------------
% 0.22/0.45 % (17754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (17754)Termination reason: Unknown
% 0.22/0.45 % (17754)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (17754)Memory used [KB]: 1279
% 0.22/0.45 % (17754)Time elapsed: 0.005 s
% 0.22/0.45 % (17754)Instructions burned: 3 (million)
% 0.22/0.45 % (17754)------------------------------
% 0.22/0.45 % (17754)------------------------------
% 0.22/0.46 % (17756)Instruction limit reached!
% 0.22/0.46 % (17756)------------------------------
% 0.22/0.46 % (17756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (17756)Termination reason: Unknown
% 0.22/0.46 % (17756)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (17756)Memory used [KB]: 1535
% 0.22/0.46 % (17756)Time elapsed: 0.006 s
% 0.22/0.46 % (17756)Instructions burned: 8 (million)
% 0.22/0.46 % (17756)------------------------------
% 0.22/0.46 % (17756)------------------------------
% 0.22/0.46 % (17753)Instruction limit reached!
% 0.22/0.46 % (17753)------------------------------
% 0.22/0.46 % (17753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (17753)Termination reason: Unknown
% 0.22/0.46 % (17753)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (17753)Memory used [KB]: 1663
% 0.22/0.46 % (17757)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.46 % (17753)Time elapsed: 0.013 s
% 0.22/0.46 % (17753)Instructions burned: 16 (million)
% 0.22/0.46 % (17753)------------------------------
% 0.22/0.46 % (17753)------------------------------
% 0.22/0.47 % (17758)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)
% 0.22/0.47 % (17749)First to succeed.
% 0.22/0.47 % (17757)Instruction limit reached!
% 0.22/0.47 % (17757)------------------------------
% 0.22/0.47 % (17757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (17757)Termination reason: Unknown
% 0.22/0.47 % (17757)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (17757)Memory used [KB]: 1663
% 0.22/0.47 % (17757)Time elapsed: 0.010 s
% 0.22/0.47 % (17757)Instructions burned: 16 (million)
% 0.22/0.47 % (17757)------------------------------
% 0.22/0.47 % (17757)------------------------------
% 0.22/0.47 % (17759)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)
% 0.22/0.47 % (17758)Instruction limit reached!
% 0.22/0.47 % (17758)------------------------------
% 0.22/0.47 % (17758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (17758)Termination reason: Unknown
% 0.22/0.47 % (17758)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (17758)Memory used [KB]: 1279
% 0.22/0.47 % (17758)Time elapsed: 0.003 s
% 0.22/0.47 % (17758)Instructions burned: 3 (million)
% 0.22/0.47 % (17758)------------------------------
% 0.22/0.47 % (17758)------------------------------
% 0.22/0.47 % (17759)Instruction limit reached!
% 0.22/0.47 % (17759)------------------------------
% 0.22/0.47 % (17759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (17759)Termination reason: Unknown
% 0.22/0.47 % (17759)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (17759)Memory used [KB]: 1407
% 0.22/0.47 % (17759)Time elapsed: 0.004 s
% 0.22/0.47 % (17759)Instructions burned: 4 (million)
% 0.22/0.47 % (17759)------------------------------
% 0.22/0.47 % (17759)------------------------------
% 0.22/0.47 % (17749)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Theorem for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% 0.22/0.47 thf(type_def_5, type, itself: ($tType) > $tType).
% 0.22/0.47 thf(type_def_7, type, int: $tType).
% 0.22/0.47 thf(type_def_8, type, stream: ($tType) > $tType).
% 0.22/0.47 thf(type_def_9, type, extended_enat: $tType).
% 0.22/0.47 thf(type_def_10, type, nat: $tType).
% 0.22/0.47 thf(type_def_11, type, set: ($tType) > $tType).
% 0.22/0.47 thf(type_def_12, type, a: $tType).
% 0.22/0.47 thf(func_def_0, type, extended_enat: $tType).
% 0.22/0.47 thf(func_def_1, type, stream: ($tType) > $tType).
% 0.22/0.47 thf(func_def_2, type, set: ($tType) > $tType).
% 0.22/0.47 thf(func_def_3, type, nat: $tType).
% 0.22/0.47 thf(func_def_4, type, int: $tType).
% 0.22/0.47 thf(func_def_5, type, itself: ($tType) > $tType).
% 0.22/0.47 thf(func_def_6, type, a: $tType).
% 0.22/0.47 thf(func_def_7, type, zero: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_8, type, field: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_9, type, mult_zero: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_10, type, semiring_1: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_11, type, semiring_char_0: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_12, type, division_ring: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_13, type, semigroup_mult: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_14, type, comm_semiring_1: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_15, type, linordered_idom: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_16, type, linordered_ring: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_17, type, linordered_field: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_18, type, ab_semigroup_mult: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_19, type, linordered_semidom: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_20, type, linord581940658strict: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_21, type, archim1727834104eiling: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_22, type, semiri1193490041visors: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_23, type, linord20386208strict: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_24, type, archim1804426504_field: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_25, type, canoni770627133id_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_26, type, linord893533164strict: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_27, type, semiri1923998003cancel: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.22/0.47 thf(func_def_28, type, archimedean_ceiling: !>[X0: $tType]:(X0 > int)).
% 0.22/0.47 thf(func_def_29, type, coindu1365464361scount: !>[X0: $tType]:((stream @ X0 > $o) > stream @ X0 > extended_enat)).
% 0.22/0.47 thf(func_def_30, type, coindu76177514sfirst: !>[X0: $tType]:((stream @ X0 > $o) > stream @ X0 > extended_enat)).
% 0.22/0.47 thf(func_def_31, type, extended_enat2: nat > extended_enat).
% 0.22/0.47 thf(func_def_32, type, extended_case_enat: !>[X0: $tType]:((nat > X0) > X0 > extended_enat > X0)).
% 0.22/0.47 thf(func_def_33, type, extended_rec_enat: !>[X0: $tType]:((nat > X0) > X0 > extended_enat > X0)).
% 0.22/0.47 thf(func_def_34, type, extended_size_enat: extended_enat > nat).
% 0.22/0.47 thf(func_def_35, type, extend1396239628finity: !>[X0: $tType]:(X0)).
% 0.22/0.47 thf(func_def_36, type, extended_the_enat: extended_enat > nat).
% 0.22/0.47 thf(func_def_37, type, inverse_inverse: !>[X0: $tType]:(X0 > X0)).
% 0.22/0.47 thf(func_def_38, type, finite_card: !>[X0: $tType]:(set @ X0 > nat)).
% 0.22/0.47 thf(func_def_39, type, times_times: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.22/0.47 thf(func_def_40, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.22/0.47 thf(func_def_41, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 0.22/0.47 thf(func_def_42, type, nat2: int > nat).
% 0.22/0.47 thf(func_def_43, type, linear1341015445_UNTIL: !>[X0: $tType]:((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0 > $o)).
% 0.22/0.47 thf(func_def_44, type, linear1386806755on_alw: !>[X0: $tType]:((stream @ X0 > $o) > stream @ X0 > $o)).
% 0.22/0.47 thf(func_def_45, type, linear505997466_on_ev: !>[X0: $tType]:((stream @ X0 > $o) > stream @ X0 > $o)).
% 0.22/0.47 thf(func_def_46, type, linear1335279038n_wait: !>[X0: $tType]:((stream @ X0 > $o) > stream @ X0 > nat)).
% 0.22/0.47 thf(func_def_47, type, semiring_1_of_nat: !>[X0: $tType]:(nat > X0)).
% 0.22/0.47 thf(func_def_48, type, size_size: !>[X0: $tType]:(X0 > nat)).
% 0.22/0.47 thf(func_def_49, type, nat_tr1645093318rphism: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > $o) > $o)).
% 0.22/0.47 thf(func_def_50, type, ord_less: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.47 thf(func_def_51, type, type: !>[X0: $tType]:(itself @ X0)).
% 0.22/0.47 thf(func_def_52, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.22/0.47 thf(func_def_53, type, sdrop: !>[X0: $tType]:(nat > stream @ X0 > stream @ X0)).
% 0.22/0.47 thf(func_def_54, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.22/0.47 thf(func_def_55, type, p: stream @ a > $o).
% 0.22/0.47 thf(func_def_56, type, omega: stream @ a).
% 0.22/0.47 thf(func_def_71, type, sP0: extended_enat > extended_enat > extended_enat > $o).
% 0.22/0.47 thf(func_def_72, type, sP1: extended_enat > extended_enat > extended_enat > $o).
% 0.22/0.47 thf(func_def_73, type, sP2: extended_enat > extended_enat > extended_enat > $o).
% 0.22/0.47 thf(func_def_74, type, sP3: extended_enat > extended_enat > extended_enat > $o).
% 0.22/0.47 thf(func_def_75, type, sP4: extended_enat > extended_enat > extended_enat > $o).
% 0.22/0.47 thf(func_def_76, type, sP5: extended_enat > extended_enat > extended_enat > $o).
% 0.22/0.47 thf(func_def_77, type, sP6: extended_enat > extended_enat > extended_enat > $o).
% 0.22/0.47 thf(func_def_78, type, sP7: extended_enat > extended_enat > $o).
% 0.22/0.47 thf(func_def_79, type, sK8: (extended_enat > $o) > nat).
% 0.22/0.47 thf(func_def_80, type, sK9: extended_enat > nat).
% 0.22/0.47 thf(func_def_81, type, sK10: extended_enat > nat).
% 0.22/0.47 thf(func_def_82, type, sK11: !>[X0: $tType]:((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0)).
% 0.22/0.47 thf(func_def_83, type, sK12: !>[X0: $tType]:((stream @ X0 > $o) > (stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0)).
% 0.22/0.47 thf(func_def_84, type, sK13: (nat > $o) > nat).
% 0.22/0.47 thf(func_def_85, type, sK14: !>[X0: $tType]:((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0)).
% 0.22/0.47 thf(func_def_86, type, sK15: extended_enat > nat).
% 0.22/0.47 thf(func_def_87, type, sK16: !>[X0: $tType]:((stream @ X0 > $o) > stream @ X0)).
% 0.22/0.47 thf(func_def_88, type, sK17: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.22/0.47 thf(func_def_89, type, sK18: (extended_enat > $o) > extended_enat).
% 0.22/0.47 thf(func_def_90, type, sK19: extended_enat > nat).
% 0.22/0.47 thf(func_def_91, type, sK20: extended_enat > nat).
% 0.22/0.47 thf(func_def_92, type, sK21: extended_enat > nat).
% 0.22/0.47 thf(func_def_93, type, sK22: extended_enat > nat).
% 0.22/0.47 thf(func_def_94, type, sK23: extended_enat > nat).
% 0.22/0.47 thf(func_def_95, type, sK24: extended_enat > nat).
% 0.22/0.47 thf(func_def_96, type, sK25: extended_enat > nat).
% 0.22/0.47 thf(func_def_97, type, sK26: extended_enat > nat).
% 0.22/0.47 thf(func_def_98, type, sK27: extended_enat > nat).
% 0.22/0.47 thf(func_def_99, type, sK28: extended_enat > nat).
% 0.22/0.47 thf(func_def_100, type, sK29: extended_enat > nat).
% 0.22/0.47 thf(func_def_101, type, sK30: extended_enat > nat).
% 0.22/0.47 thf(func_def_102, type, sK31: !>[X0: $tType]:((stream @ X0 > $o) > (stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0)).
% 0.22/0.47 thf(func_def_103, type, sK32: extended_enat > nat).
% 0.22/0.47 thf(func_def_104, type, sK33: !>[X0: $tType]:(nat > (X0 > extended_enat) > X0)).
% 0.22/0.47 thf(func_def_105, type, sK34: !>[X0: $tType]:((X0 > extended_enat) > X0)).
% 0.22/0.47 thf(func_def_106, type, sK35: !>[X0: $tType]:((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0)).
% 0.22/0.47 thf(func_def_107, type, sK36: !>[X0: $tType]:((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0)).
% 0.22/0.47 thf(func_def_108, type, sK37: !>[X0: $tType]:((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0)).
% 0.22/0.47 thf(func_def_109, type, sK38: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.22/0.47 thf(func_def_110, type, sK39: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.22/0.47 thf(func_def_111, type, sK40: nat > extended_enat > nat).
% 0.22/0.47 thf(func_def_112, type, sK41: extended_enat > nat).
% 0.22/0.47 thf(func_def_113, type, sK42: extended_enat > nat).
% 0.22/0.47 thf(func_def_114, type, sK43: extended_enat > nat).
% 0.22/0.47 thf(func_def_115, type, sK44: extended_enat > nat).
% 0.22/0.47 thf(func_def_116, type, sK45: extended_enat > nat).
% 0.22/0.47 thf(func_def_117, type, sK46: !>[X0: $tType]:((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0)).
% 0.22/0.47 thf(func_def_118, type, sK47: (nat > $o) > nat).
% 0.22/0.47 thf(func_def_119, type, sK48: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.22/0.47 thf(func_def_120, type, sK49: (nat > $o) > nat).
% 0.22/0.47 thf(func_def_121, type, sK50: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.22/0.47 thf(func_def_122, type, sK51: !>[X0: $tType]:((X0 > nat) > (X0 > $o) > X0)).
% 0.22/0.47 thf(func_def_124, type, ph53: !>[X0: $tType]:(X0)).
% 0.22/0.47 thf(f1309,plain,(
% 0.22/0.47 $false),
% 0.22/0.47 inference(subsumption_resolution,[],[f1288,f1279])).
% 0.22/0.47 thf(f1279,plain,(
% 0.22/0.47 ((p @ omega) != $true)),
% 0.22/0.47 inference(forward_demodulation,[],[f1278,f1197])).
% 0.22/0.47 thf(f1197,plain,(
% 0.22/0.47 ( ! [X0 : $tType,X1 : stream @ X0] : (((sdrop @ X0 @ zero_zero @ nat @ X1) = X1)) )),
% 0.22/0.47 inference(cnf_transformation,[],[f815])).
% 0.22/0.47 thf(f815,plain,(
% 0.22/0.47 ! [X0 : $tType,X1 : stream @ X0] : ((sdrop @ X0 @ zero_zero @ nat @ X1) = X1)),
% 0.22/0.47 inference(rectify,[],[f5])).
% 0.22/0.47 thf(f5,axiom,(
% 0.22/0.47 ! [X0 : $tType,X10 : stream @ X0] : ((sdrop @ X0 @ zero_zero @ nat @ X10) = X10)),
% 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_sdrop_Osimps_I1_J)).
% 0.22/0.47 thf(f1278,plain,(
% 0.22/0.47 ((p @ (sdrop @ a @ zero_zero @ nat @ omega)) != $true)),
% 0.22/0.47 inference(subsumption_resolution,[],[f1047,f1227])).
% 0.22/0.47 thf(f1227,plain,(
% 0.22/0.47 ( ! [X0 : $tType,X2 : stream @ X0 > $o,X3 : stream @ X0,X1 : nat] : (((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3)) != $true) | ((X2 @ (sdrop @ X0 @ X1 @ X3)) != $true)) )),
% 0.22/0.47 inference(cnf_transformation,[],[f875])).
% 0.22/0.47 thf(f875,plain,(
% 0.22/0.47 ! [X0 : $tType,X1 : nat,X2 : stream @ X0 > $o,X3 : stream @ X0] : (((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3)) != $true) | ((X2 @ (sdrop @ X0 @ X1 @ X3)) != $true))),
% 0.22/0.47 inference(ennf_transformation,[],[f800])).
% 0.22/0.47 thf(f800,plain,(
% 0.22/0.47 ! [X0 : $tType,X1 : nat,X2 : stream @ X0 > $o,X3 : stream @ X0] : (((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3)) = $true) => ((X2 @ (sdrop @ X0 @ X1 @ X3)) != $true))),
% 0.22/0.47 inference(flattening,[],[f366])).
% 0.22/0.47 thf(f366,plain,(
% 0.22/0.47 ! [X0 : $tType,X1 : nat,X2 : stream @ X0 > $o,X3 : stream @ X0] : (((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3)) = $true) => ~((X2 @ (sdrop @ X0 @ X1 @ X3)) = $true))),
% 0.22/0.47 inference(fool_elimination,[],[f365])).
% 0.22/0.47 thf(f365,plain,(
% 0.22/0.47 ! [X0 : $tType,X1 : nat,X2 : stream @ X0 > $o,X3 : stream @ X0] : ((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3)) => ~(X2 @ (sdrop @ X0 @ X1 @ X3)))),
% 0.22/0.47 inference(rectify,[],[f2])).
% 0.22/0.47 thf(f2,axiom,(
% 0.22/0.47 ! [X0 : $tType,X5 : nat,X6 : stream @ X0 > $o,X7 : stream @ X0] : ((ord_less @ extended_enat @ (extended_enat2 @ X5) @ (coindu76177514sfirst @ X0 @ X6 @ X7)) => ~(X6 @ (sdrop @ X0 @ X5 @ X7)))),
% 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_less__sfirstD)).
% 0.22/0.47 thf(f1047,plain,(
% 0.22/0.47 ((p @ (sdrop @ a @ zero_zero @ nat @ omega)) != $true) | ((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)) = $true)),
% 0.22/0.47 inference(cnf_transformation,[],[f909])).
% 0.22/0.47 thf(f909,plain,(
% 0.22/0.47 (((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)) != $true) | ((p @ (sdrop @ a @ zero_zero @ nat @ omega)) = $true)) & (((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)) = $true) | ((p @ (sdrop @ a @ zero_zero @ nat @ omega)) != $true))),
% 0.22/0.47 inference(nnf_transformation,[],[f876])).
% 0.22/0.47 thf(f876,plain,(
% 0.22/0.47 ((p @ (sdrop @ a @ zero_zero @ nat @ omega)) != $true) <~> ((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)) = $true)),
% 0.22/0.47 inference(ennf_transformation,[],[f797])).
% 0.22/0.47 thf(f797,plain,(
% 0.22/0.47 ~(((p @ (sdrop @ a @ zero_zero @ nat @ omega)) != $true) <=> ((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)) = $true))),
% 0.22/0.47 inference(flattening,[],[f400])).
% 0.22/0.47 thf(f400,plain,(
% 0.22/0.47 ~(~((p @ (sdrop @ a @ zero_zero @ nat @ omega)) = $true) <=> ((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)) = $true))),
% 0.22/0.47 inference(fool_elimination,[],[f399])).
% 0.22/0.47 thf(f399,plain,(
% 0.22/0.47 ~(~(p @ (sdrop @ a @ zero_zero @ nat @ omega)) = (ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)))),
% 0.22/0.47 inference(rectify,[],[f295])).
% 0.22/0.47 thf(f295,negated_conjecture,(
% 0.22/0.47 ~(~(p @ (sdrop @ a @ zero_zero @ nat @ omega)) = (ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)))),
% 0.22/0.47 inference(negated_conjecture,[],[f294])).
% 0.22/0.47 thf(f294,conjecture,(
% 0.22/0.47 (~(p @ (sdrop @ a @ zero_zero @ nat @ omega)) = (ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)))),
% 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.22/0.47 thf(f1288,plain,(
% 0.22/0.47 ((p @ omega) = $true)),
% 0.22/0.47 inference(trivial_inequality_removal,[],[f1287])).
% 0.22/0.47 thf(f1287,plain,(
% 0.22/0.47 (zero_zero @ extended_enat != zero_zero @ extended_enat) | ((p @ omega) = $true)),
% 0.22/0.47 inference(superposition,[],[f1214,f1283])).
% 0.22/0.47 thf(f1283,plain,(
% 0.22/0.47 (zero_zero @ extended_enat = (coindu76177514sfirst @ a @ p @ omega))),
% 0.22/0.47 inference(trivial_inequality_removal,[],[f1282])).
% 0.22/0.47 thf(f1282,plain,(
% 0.22/0.47 ($true != $true) | (zero_zero @ extended_enat = (coindu76177514sfirst @ a @ p @ omega))),
% 0.22/0.47 inference(superposition,[],[f1277,f1239])).
% 0.22/0.47 thf(f1239,plain,(
% 0.22/0.47 ( ! [X0 : extended_enat] : (((ord_less @ extended_enat @ zero_zero @ extended_enat @ X0) = $true) | (zero_zero @ extended_enat = X0)) )),
% 0.22/0.47 inference(cnf_transformation,[],[f1043])).
% 0.22/0.47 thf(f1043,plain,(
% 0.22/0.47 ! [X0 : extended_enat] : ((((ord_less @ extended_enat @ zero_zero @ extended_enat @ X0) = $true) | (zero_zero @ extended_enat = X0)) & ((zero_zero @ extended_enat != X0) | ((ord_less @ extended_enat @ zero_zero @ extended_enat @ X0) != $true)))),
% 0.22/0.47 inference(nnf_transformation,[],[f720])).
% 0.22/0.47 thf(f720,plain,(
% 0.22/0.47 ! [X0 : extended_enat] : (((ord_less @ extended_enat @ zero_zero @ extended_enat @ X0) = $true) <=> (zero_zero @ extended_enat != X0))),
% 0.22/0.47 inference(fool_elimination,[],[f719])).
% 0.22/0.47 thf(f719,plain,(
% 0.22/0.47 ! [X0 : extended_enat] : ((zero_zero @ extended_enat != X0) = (ord_less @ extended_enat @ zero_zero @ extended_enat @ X0))),
% 0.22/0.47 inference(rectify,[],[f14])).
% 0.22/0.47 thf(f14,axiom,(
% 0.22/0.47 ! [X5 : extended_enat] : ((zero_zero @ extended_enat != X5) = (ord_less @ extended_enat @ zero_zero @ extended_enat @ X5))),
% 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_i0__less)).
% 0.22/0.47 thf(f1277,plain,(
% 0.22/0.47 ((ord_less @ extended_enat @ zero_zero @ extended_enat @ (coindu76177514sfirst @ a @ p @ omega)) != $true)),
% 0.22/0.47 inference(forward_demodulation,[],[f1276,f1262])).
% 0.22/0.47 thf(f1262,plain,(
% 0.22/0.47 (zero_zero @ extended_enat = (extended_enat2 @ zero_zero @ nat))),
% 0.22/0.47 inference(equality_resolution,[],[f1150])).
% 0.22/0.47 thf(f1150,plain,(
% 0.22/0.47 ( ! [X0 : nat] : ((zero_zero @ extended_enat = (extended_enat2 @ X0)) | (zero_zero @ nat != X0)) )),
% 0.22/0.47 inference(cnf_transformation,[],[f994])).
% 0.22/0.47 thf(f994,plain,(
% 0.22/0.47 ! [X0 : nat] : (((zero_zero @ extended_enat = (extended_enat2 @ X0)) | (zero_zero @ nat != X0)) & ((zero_zero @ nat = X0) | (zero_zero @ extended_enat != (extended_enat2 @ X0))))),
% 0.22/0.47 inference(nnf_transformation,[],[f510])).
% 0.22/0.47 thf(f510,plain,(
% 0.22/0.47 ! [X0 : nat] : ((zero_zero @ extended_enat = (extended_enat2 @ X0)) <=> (zero_zero @ nat = X0))),
% 0.22/0.47 inference(fool_elimination,[],[f509])).
% 0.22/0.47 thf(f509,plain,(
% 0.22/0.47 ! [X0 : nat] : ((zero_zero @ nat = X0) = (zero_zero @ extended_enat = (extended_enat2 @ X0)))),
% 0.22/0.47 inference(rectify,[],[f19])).
% 0.22/0.47 thf(f19,axiom,(
% 0.22/0.47 ! [X22 : nat] : ((zero_zero @ nat = X22) = (zero_zero @ extended_enat = (extended_enat2 @ X22)))),
% 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_enat__0__iff_I1_J)).
% 0.22/0.47 thf(f1276,plain,(
% 0.22/0.47 ((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)) != $true)),
% 0.22/0.47 inference(subsumption_resolution,[],[f1048,f1227])).
% 0.22/0.47 thf(f1048,plain,(
% 0.22/0.47 ((p @ (sdrop @ a @ zero_zero @ nat @ omega)) = $true) | ((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)) != $true)),
% 0.22/0.47 inference(cnf_transformation,[],[f909])).
% 0.22/0.47 thf(f1214,plain,(
% 0.22/0.47 ( ! [X0 : $tType,X2 : stream @ X0,X1 : stream @ X0 > $o] : ((zero_zero @ extended_enat != (coindu76177514sfirst @ X0 @ X1 @ X2)) | ((X1 @ X2) = $true)) )),
% 0.22/0.47 inference(cnf_transformation,[],[f1032])).
% 0.22/0.47 thf(f1032,plain,(
% 0.22/0.47 ! [X0 : $tType,X1 : stream @ X0 > $o,X2 : stream @ X0] : ((((X1 @ X2) = $true) | (zero_zero @ extended_enat != (coindu76177514sfirst @ X0 @ X1 @ X2))) & ((zero_zero @ extended_enat = (coindu76177514sfirst @ X0 @ X1 @ X2)) | ((X1 @ X2) != $true)))),
% 0.22/0.47 inference(nnf_transformation,[],[f654])).
% 0.22/0.47 thf(f654,plain,(
% 0.22/0.47 ! [X0 : $tType,X1 : stream @ X0 > $o,X2 : stream @ X0] : (((X1 @ X2) = $true) <=> (zero_zero @ extended_enat = (coindu76177514sfirst @ X0 @ X1 @ X2)))),
% 0.22/0.47 inference(fool_elimination,[],[f653])).
% 0.22/0.47 thf(f653,plain,(
% 0.22/0.47 ! [X0 : $tType,X1 : stream @ X0 > $o,X2 : stream @ X0] : ((X1 @ X2) = (zero_zero @ extended_enat = (coindu76177514sfirst @ X0 @ X1 @ X2)))),
% 0.22/0.47 inference(rectify,[],[f22])).
% 0.22/0.47 thf(f22,axiom,(
% 0.22/0.47 ! [X0 : $tType,X6 : stream @ X0 > $o,X7 : stream @ X0] : ((X6 @ X7) = ((coindu76177514sfirst @ X0 @ X6 @ X7) = zero_zero @ extended_enat))),
% 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_sfirst__eq__0)).
% 0.22/0.47 % SZS output end Proof for theBenchmark
% 0.22/0.47 % (17749)------------------------------
% 0.22/0.47 % (17749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (17749)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (17749)Memory used [KB]: 6652
% 0.22/0.47 % (17749)Time elapsed: 0.050 s
% 0.22/0.47 % (17749)Instructions burned: 59 (million)
% 0.22/0.47 % (17749)------------------------------
% 0.22/0.47 % (17749)------------------------------
% 0.22/0.47 % (17743)Success in time 0.106 s
% 0.22/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------