TSTP Solution File: DAT239^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT239^1 : 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 : n006.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 19:50:16 EDT 2024
% Result : Theorem 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT239^1 : TPTP v8.2.0. Released v7.0.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34 % Computer : n006.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 23:28:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a TH1_THM_EQU_NAR problem
% 0.12/0.34 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
% 0.18/0.37 % (16931)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)
% 0.18/0.37 % (16929)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.37 % (16930)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)
% 0.18/0.37 % (16928)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)
% 0.18/0.37 % (16927)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)
% 0.18/0.37 % (16932)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.18/0.37 % (16933)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)
% 0.18/0.38 % (16929)Instruction limit reached!
% 0.18/0.38 % (16929)------------------------------
% 0.18/0.38 % (16929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (16929)Termination reason: Unknown
% 0.18/0.38 % (16929)Termination phase: shuffling
% 0.18/0.38
% 0.18/0.38 % (16929)Memory used [KB]: 1279
% 0.18/0.38 % (16930)Instruction limit reached!
% 0.18/0.38 % (16930)------------------------------
% 0.18/0.38 % (16930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (16929)Time elapsed: 0.003 s
% 0.18/0.38 % (16929)Instructions burned: 2 (million)
% 0.18/0.38 % (16929)------------------------------
% 0.18/0.38 % (16929)------------------------------
% 0.18/0.38 % (16930)Termination reason: Unknown
% 0.18/0.38 % (16930)Termination phase: shuffling
% 0.18/0.38
% 0.18/0.38 % (16930)Memory used [KB]: 1279
% 0.18/0.38 % (16930)Time elapsed: 0.003 s
% 0.18/0.38 % (16930)Instructions burned: 2 (million)
% 0.18/0.38 % (16930)------------------------------
% 0.18/0.38 % (16930)------------------------------
% 0.18/0.38 % (16927)Instruction limit reached!
% 0.18/0.38 % (16927)------------------------------
% 0.18/0.38 % (16927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (16927)Termination reason: Unknown
% 0.18/0.38 % (16927)Termination phase: shuffling
% 0.18/0.38
% 0.18/0.38 % (16927)Memory used [KB]: 1279
% 0.18/0.38 % (16927)Time elapsed: 0.003 s
% 0.18/0.38 % (16927)Instructions burned: 4 (million)
% 0.18/0.38 % (16927)------------------------------
% 0.18/0.38 % (16927)------------------------------
% 0.18/0.38 % (16926)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.18/0.38 % (16933)Instruction limit reached!
% 0.18/0.38 % (16933)------------------------------
% 0.18/0.38 % (16933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (16933)Termination reason: Unknown
% 0.18/0.38 % (16933)Termination phase: shuffling
% 0.18/0.38
% 0.18/0.38 % (16933)Memory used [KB]: 1279
% 0.18/0.38 % (16933)Time elapsed: 0.004 s
% 0.18/0.38 % (16933)Instructions burned: 4 (million)
% 0.18/0.38 % (16933)------------------------------
% 0.18/0.38 % (16933)------------------------------
% 0.18/0.38 % (16932)Instruction limit reached!
% 0.18/0.38 % (16932)------------------------------
% 0.18/0.38 % (16932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (16932)Termination reason: Unknown
% 0.18/0.38 % (16932)Termination phase: Property scanning
% 0.18/0.38
% 0.18/0.38 % (16932)Memory used [KB]: 1663
% 0.18/0.38 % (16932)Time elapsed: 0.011 s
% 0.18/0.38 % (16932)Instructions burned: 18 (million)
% 0.18/0.38 % (16932)------------------------------
% 0.18/0.38 % (16932)------------------------------
% 0.18/0.39 % (16928)Instruction limit reached!
% 0.18/0.39 % (16928)------------------------------
% 0.18/0.39 % (16928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39 % (16928)Termination reason: Unknown
% 0.18/0.39 % (16928)Termination phase: Property scanning
% 0.18/0.39
% 0.18/0.39 % (16928)Memory used [KB]: 1663
% 0.18/0.39 % (16928)Time elapsed: 0.015 s
% 0.18/0.39 % (16928)Instructions burned: 27 (million)
% 0.18/0.39 % (16928)------------------------------
% 0.18/0.39 % (16928)------------------------------
% 0.18/0.39 % (16934)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)
% 0.18/0.39 % (16935)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)
% 0.18/0.39 % (16937)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)
% 0.18/0.40 % (16938)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.40 % (16935)Instruction limit reached!
% 0.18/0.40 % (16935)------------------------------
% 0.18/0.40 % (16935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (16935)Termination reason: Unknown
% 0.18/0.40 % (16935)Termination phase: Property scanning
% 0.18/0.40
% 0.18/0.40 % (16935)Memory used [KB]: 1663
% 0.18/0.40 % (16935)Time elapsed: 0.010 s
% 0.18/0.40 % (16935)Instructions burned: 16 (million)
% 0.18/0.40 % (16935)------------------------------
% 0.18/0.40 % (16935)------------------------------
% 0.18/0.40 % (16936)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)
% 0.18/0.40 % (16936)Instruction limit reached!
% 0.18/0.40 % (16936)------------------------------
% 0.18/0.40 % (16936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (16936)Termination reason: Unknown
% 0.18/0.40 % (16936)Termination phase: shuffling
% 0.18/0.40
% 0.18/0.40 % (16936)Memory used [KB]: 1279
% 0.18/0.40 % (16936)Time elapsed: 0.004 s
% 0.18/0.40 % (16936)Instructions burned: 4 (million)
% 0.18/0.40 % (16936)------------------------------
% 0.18/0.40 % (16936)------------------------------
% 0.18/0.40 % (16938)Instruction limit reached!
% 0.18/0.40 % (16938)------------------------------
% 0.18/0.40 % (16938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (16938)Termination reason: Unknown
% 0.18/0.40 % (16938)Termination phase: shuffling
% 0.18/0.40
% 0.18/0.40 % (16938)Memory used [KB]: 1407
% 0.18/0.40 % (16938)Time elapsed: 0.006 s
% 0.18/0.40 % (16938)Instructions burned: 8 (million)
% 0.18/0.40 % (16938)------------------------------
% 0.18/0.40 % (16938)------------------------------
% 0.18/0.40 % (16939)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.41 % (16934)Instruction limit reached!
% 0.18/0.41 % (16934)------------------------------
% 0.18/0.41 % (16934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41 % (16934)Termination reason: Unknown
% 0.18/0.41 % (16934)Termination phase: Property scanning
% 0.18/0.41
% 0.18/0.41 % (16934)Memory used [KB]: 1791
% 0.18/0.41 % (16934)Time elapsed: 0.019 s
% 0.18/0.41 % (16934)Instructions burned: 38 (million)
% 0.18/0.41 % (16934)------------------------------
% 0.18/0.41 % (16934)------------------------------
% 0.18/0.41 % (16939)Instruction limit reached!
% 0.18/0.41 % (16939)------------------------------
% 0.18/0.41 % (16939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41 % (16939)Termination reason: Unknown
% 0.18/0.41 % (16939)Termination phase: shuffling
% 0.18/0.41
% 0.18/0.41 % (16939)Memory used [KB]: 1535
% 0.18/0.41 % (16939)Time elapsed: 0.010 s
% 0.18/0.41 % (16939)Instructions burned: 16 (million)
% 0.18/0.41 % (16939)------------------------------
% 0.18/0.41 % (16939)------------------------------
% 0.18/0.41 % (16940)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)
% 0.18/0.41 % (16940)Instruction limit reached!
% 0.18/0.41 % (16940)------------------------------
% 0.18/0.41 % (16940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41 % (16940)Termination reason: Unknown
% 0.18/0.41 % (16940)Termination phase: shuffling
% 0.18/0.41
% 0.18/0.41 % (16940)Memory used [KB]: 1279
% 0.18/0.41 % (16940)Time elapsed: 0.003 s
% 0.18/0.41 % (16940)Instructions burned: 3 (million)
% 0.18/0.41 % (16940)------------------------------
% 0.18/0.41 % (16940)------------------------------
% 0.18/0.41 % (16942)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)
% 0.18/0.42 % (16941)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)
% 0.18/0.42 % (16942)Instruction limit reached!
% 0.18/0.42 % (16942)------------------------------
% 0.18/0.42 % (16942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42 % (16942)Termination reason: Unknown
% 0.18/0.42 % (16942)Termination phase: shuffling
% 0.18/0.42
% 0.18/0.42 % (16942)Memory used [KB]: 1407
% 0.18/0.42 % (16942)Time elapsed: 0.005 s
% 0.18/0.42 % (16942)Instructions burned: 7 (million)
% 0.18/0.42 % (16942)------------------------------
% 0.18/0.42 % (16942)------------------------------
% 0.18/0.42 % (16941)Instruction limit reached!
% 0.18/0.42 % (16941)------------------------------
% 0.18/0.42 % (16941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42 % (16941)Termination reason: Unknown
% 0.18/0.42 % (16941)Termination phase: shuffling
% 0.18/0.42
% 0.18/0.42 % (16941)Memory used [KB]: 1279
% 0.18/0.42 % (16941)Time elapsed: 0.003 s
% 0.18/0.42 % (16941)Instructions burned: 3 (million)
% 0.18/0.42 % (16941)------------------------------
% 0.18/0.42 % (16941)------------------------------
% 0.18/0.42 % (16943)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)
% 0.18/0.42 % (16943)Instruction limit reached!
% 0.18/0.42 % (16943)------------------------------
% 0.18/0.42 % (16943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42 % (16943)Termination reason: Unknown
% 0.18/0.42 % (16943)Termination phase: shuffling
% 0.18/0.42
% 0.18/0.42 % (16943)Memory used [KB]: 1279
% 0.18/0.42 % (16943)Time elapsed: 0.003 s
% 0.18/0.42 % (16943)Instructions burned: 3 (million)
% 0.18/0.42 % (16943)------------------------------
% 0.18/0.42 % (16943)------------------------------
% 0.18/0.42 % (16944)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.42 % (16931)First to succeed.
% 0.18/0.43 % (16944)Instruction limit reached!
% 0.18/0.43 % (16944)------------------------------
% 0.18/0.43 % (16944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43 % (16944)Termination reason: Unknown
% 0.18/0.43 % (16944)Termination phase: shuffling
% 0.18/0.43
% 0.18/0.43 % (16944)Memory used [KB]: 1407
% 0.18/0.43 % (16944)Time elapsed: 0.004 s
% 0.18/0.43 % (16944)Instructions burned: 4 (million)
% 0.18/0.43 % (16944)------------------------------
% 0.18/0.43 % (16944)------------------------------
% 0.18/0.43 % (16931)Refutation found. Thanks to Tanya!
% 0.18/0.43 % SZS status Theorem for theBenchmark
% 0.18/0.43 % SZS output start Proof for theBenchmark
% 0.18/0.43 thf(type_def_5, type, itself: ($tType) > $tType).
% 0.18/0.43 thf(type_def_7, type, num: $tType).
% 0.18/0.43 thf(type_def_8, type, nat: $tType).
% 0.18/0.43 thf(type_def_9, type, int: $tType).
% 0.18/0.43 thf(func_def_0, type, num: $tType).
% 0.18/0.43 thf(func_def_1, type, nat: $tType).
% 0.18/0.43 thf(func_def_2, type, int: $tType).
% 0.18/0.43 thf(func_def_3, type, itself: ($tType) > $tType).
% 0.18/0.43 thf(func_def_4, type, one: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_5, type, zero: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_6, type, numeral: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_7, type, field: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_8, type, neg_numeral: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_9, type, group_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_10, type, monoid_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_11, type, preorder: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_12, type, zero_neq_one: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_13, type, semiring_char_0: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_14, type, zero_less_one: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_15, type, semiring_div: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_16, type, division_ring: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_17, type, semigroup_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_18, type, semidom_divide: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_19, type, linordered_idom: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_20, type, linordered_field: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_21, type, ab_semigroup_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_22, type, linordered_semidom: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_23, type, semiring_div_parity: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_24, type, cancel_semigroup_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_25, type, semiring_numeral_div: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_26, type, cancel1352612707id_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_27, type, linord219039673up_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_28, type, ordere779506340up_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_29, type, linord1659791738miring: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_30, type, canoni770627133id_add: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_31, type, ordere236663937imp_le: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_32, type, ordere516151231imp_le: !>[X0: $tType]:(itself @ X0 > $o)).
% 0.18/0.43 thf(func_def_33, type, one_one: !>[X0: $tType]:(X0)).
% 0.18/0.43 thf(func_def_34, type, plus_plus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.18/0.43 thf(func_def_35, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.18/0.43 thf(func_def_36, type, neg_numeral_dbl: !>[X0: $tType]:(X0 > X0)).
% 0.18/0.43 thf(func_def_37, type, bit0: num > num).
% 0.18/0.43 thf(func_def_38, type, one2: num).
% 0.18/0.43 thf(func_def_39, type, numeral_numeral: !>[X0: $tType]:(num > X0)).
% 0.18/0.43 thf(func_def_40, type, ord_less: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.18/0.43 thf(func_def_41, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.18/0.43 thf(func_def_42, type, type: !>[X0: $tType]:(itself @ X0)).
% 0.18/0.43 thf(func_def_43, type, divide_divide: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.18/0.43 thf(func_def_44, type, na: nat).
% 0.18/0.43 thf(func_def_57, type, sK0: (nat > $o) > nat).
% 0.18/0.43 thf(func_def_58, type, sK1: (nat > nat) > nat).
% 0.18/0.43 thf(func_def_59, type, sK2: (nat > nat) > nat).
% 0.18/0.43 thf(func_def_60, type, sK3: nat > (nat > $o) > nat).
% 0.18/0.43 thf(func_def_61, type, sK4: (nat > $o) > nat).
% 0.18/0.43 thf(func_def_62, type, sK5: (nat > $o) > nat).
% 0.18/0.43 thf(func_def_63, type, sK6: !>[X0: $tType]:(X0 > X0)).
% 0.18/0.43 thf(func_def_64, type, sK7: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.18/0.43 thf(func_def_65, type, sK8: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.18/0.43 thf(func_def_66, type, sK9: !>[X0: $tType]:((X0 > nat) > (X0 > $o) > X0)).
% 0.18/0.43 thf(func_def_67, type, sK10: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.18/0.43 thf(func_def_68, type, sK11: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.18/0.43 thf(func_def_69, type, sK12: !>[X0: $tType]:(X0 > X0)).
% 0.18/0.43 thf(func_def_71, type, ph14: !>[X0: $tType]:(X0)).
% 0.18/0.43 thf(f1625,plain,(
% 0.18/0.43 $false),
% 0.18/0.43 inference(subsumption_resolution,[],[f1621,f1160])).
% 0.18/0.43 thf(f1160,plain,(
% 0.18/0.43 ((ord_less_eq @ nat @ na @ one_one @ nat) != $true)),
% 0.18/0.43 inference(cnf_transformation,[],[f904])).
% 0.18/0.43 thf(f904,plain,(
% 0.18/0.43 ((ord_less_eq @ nat @ na @ one_one @ nat) != $true)),
% 0.18/0.43 inference(flattening,[],[f343])).
% 0.18/0.43 thf(f343,plain,(
% 0.18/0.43 ~((ord_less_eq @ nat @ na @ one_one @ nat) = $true)),
% 0.18/0.43 inference(fool_elimination,[],[f342])).
% 0.18/0.43 thf(f342,plain,(
% 0.18/0.43 ~(ord_less_eq @ nat @ na @ one_one @ nat)),
% 0.18/0.43 inference(rectify,[],[f2])).
% 0.18/0.43 thf(f2,axiom,(
% 0.18/0.43 ~(ord_less_eq @ nat @ na @ one_one @ nat)),
% 0.18/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_False)).
% 0.18/0.43 thf(f1621,plain,(
% 0.18/0.43 ((ord_less_eq @ nat @ na @ one_one @ nat) = $true)),
% 0.18/0.43 inference(trivial_inequality_removal,[],[f1618])).
% 0.18/0.43 thf(f1618,plain,(
% 0.18/0.43 ($true != $true) | ((ord_less_eq @ nat @ na @ one_one @ nat) = $true)),
% 0.18/0.43 inference(superposition,[],[f1435,f1178])).
% 0.18/0.43 thf(f1178,plain,(
% 0.18/0.43 ( ! [X0 : nat,X1 : nat] : (($true = (ord_less_eq @ nat @ X1 @ X0)) | ($true = (ord_less_eq @ nat @ X0 @ X1))) )),
% 0.18/0.43 inference(cnf_transformation,[],[f443])).
% 0.18/0.43 thf(f443,plain,(
% 0.18/0.43 ! [X0 : nat,X1 : nat] : (($true = (ord_less_eq @ nat @ X1 @ X0)) | ($true = (ord_less_eq @ nat @ X0 @ X1)))),
% 0.18/0.43 inference(fool_elimination,[],[f442])).
% 0.18/0.43 thf(f442,plain,(
% 0.18/0.43 ! [X0 : nat,X1 : nat] : ((ord_less_eq @ nat @ X1 @ X0) | (ord_less_eq @ nat @ X0 @ X1))),
% 0.18/0.43 inference(rectify,[],[f54])).
% 0.18/0.43 thf(f54,axiom,(
% 0.18/0.43 ! [X1 : nat,X2 : nat] : ((ord_less_eq @ nat @ X2 @ X1) | (ord_less_eq @ nat @ X1 @ X2))),
% 0.18/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_nat__le__linear)).
% 0.18/0.43 thf(f1435,plain,(
% 0.18/0.43 ($true != (ord_less_eq @ nat @ one_one @ nat @ na))),
% 0.18/0.43 inference(subsumption_resolution,[],[f1434,f1215])).
% 0.18/0.43 thf(f1215,plain,(
% 0.18/0.43 (na != one_one @ nat)),
% 0.18/0.43 inference(cnf_transformation,[],[f989])).
% 0.18/0.43 thf(f989,plain,(
% 0.18/0.43 (na != one_one @ nat) & (na != zero_zero @ nat)),
% 0.18/0.43 inference(ennf_transformation,[],[f1])).
% 0.18/0.43 thf(f1,axiom,(
% 0.18/0.43 ~((na = zero_zero @ nat) | (na = one_one @ nat))),
% 0.18/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_ns)).
% 0.18/0.43 thf(f1434,plain,(
% 0.18/0.43 ($true != (ord_less_eq @ nat @ one_one @ nat @ na)) | (na = one_one @ nat)),
% 0.18/0.43 inference(trivial_inequality_removal,[],[f1431])).
% 0.18/0.43 thf(f1431,plain,(
% 0.18/0.43 (na = one_one @ nat) | ($true != (ord_less_eq @ nat @ one_one @ nat @ na)) | ($true != $true)),
% 0.18/0.43 inference(superposition,[],[f1397,f1302])).
% 0.18/0.43 thf(f1302,plain,(
% 0.18/0.43 ( ! [X0 : nat,X1 : nat] : (($true = (ord_less @ nat @ X0 @ X1)) | ($true != (ord_less_eq @ nat @ X0 @ X1)) | (X0 = X1)) )),
% 0.18/0.43 inference(cnf_transformation,[],[f978])).
% 0.18/0.43 thf(f978,plain,(
% 0.18/0.43 ! [X0 : nat,X1 : nat] : ((X0 = X1) | ($true = (ord_less @ nat @ X0 @ X1)) | ($true != (ord_less_eq @ nat @ X0 @ X1)))),
% 0.18/0.43 inference(flattening,[],[f977])).
% 0.18/0.43 thf(f977,plain,(
% 0.18/0.43 ! [X0 : nat,X1 : nat] : ((($true = (ord_less @ nat @ X0 @ X1)) | (X0 = X1)) | ($true != (ord_less_eq @ nat @ X0 @ X1)))),
% 0.18/0.43 inference(ennf_transformation,[],[f371])).
% 0.18/0.43 thf(f371,plain,(
% 0.18/0.43 ! [X0 : nat,X1 : nat] : (($true = (ord_less_eq @ nat @ X0 @ X1)) => ((X0 != X1) => ($true = (ord_less @ nat @ X0 @ X1))))),
% 0.18/0.43 inference(fool_elimination,[],[f370])).
% 0.18/0.43 thf(f370,plain,(
% 0.18/0.43 ! [X0 : nat,X1 : nat] : ((ord_less_eq @ nat @ X0 @ X1) => ((X0 != X1) => (ord_less @ nat @ X0 @ X1)))),
% 0.18/0.43 inference(rectify,[],[f64])).
% 0.18/0.43 thf(f64,axiom,(
% 0.18/0.43 ! [X1 : nat,X2 : nat] : ((ord_less_eq @ nat @ X1 @ X2) => ((X1 != X2) => (ord_less @ nat @ X1 @ X2)))),
% 0.18/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_le__neq__implies__less)).
% 0.18/0.43 thf(f1397,plain,(
% 0.18/0.43 ($true != (ord_less @ nat @ one_one @ nat @ na))),
% 0.18/0.43 inference(trivial_inequality_removal,[],[f1380])).
% 0.18/0.43 thf(f1380,plain,(
% 0.18/0.43 ($true != $true) | ($true != (ord_less @ nat @ one_one @ nat @ na))),
% 0.18/0.43 inference(superposition,[],[f1287,f1208])).
% 0.18/0.43 thf(f1208,plain,(
% 0.18/0.43 ( ! [X0 : nat] : (($true = (ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ X0 @ (numeral_numeral @ nat @ (bit0 @ one2))))) | ($true != (ord_less @ nat @ one_one @ nat @ X0))) )),
% 0.18/0.43 inference(cnf_transformation,[],[f911])).
% 0.18/0.43 thf(f911,plain,(
% 0.18/0.43 ! [X0 : nat] : (($true = (ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ X0 @ (numeral_numeral @ nat @ (bit0 @ one2))))) | ($true != (ord_less @ nat @ one_one @ nat @ X0)))),
% 0.18/0.43 inference(ennf_transformation,[],[f369])).
% 0.18/0.43 thf(f369,plain,(
% 0.18/0.43 ! [X0 : nat] : (($true = (ord_less @ nat @ one_one @ nat @ X0)) => ($true = (ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ X0 @ (numeral_numeral @ nat @ (bit0 @ one2))))))),
% 0.18/0.43 inference(fool_elimination,[],[f368])).
% 0.18/0.43 thf(f368,plain,(
% 0.18/0.43 ! [X0 : nat] : ((ord_less @ nat @ one_one @ nat @ X0) => (ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ X0 @ (numeral_numeral @ nat @ (bit0 @ one2)))))),
% 0.18/0.43 inference(rectify,[],[f149])).
% 0.18/0.43 thf(f149,axiom,(
% 0.18/0.43 ! [X2 : nat] : ((ord_less @ nat @ one_one @ nat @ X2) => (ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ X2 @ (numeral_numeral @ nat @ (bit0 @ one2)))))),
% 0.18/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_div__2__gt__zero)).
% 0.18/0.43 thf(f1287,plain,(
% 0.18/0.43 ((ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2)))) != $true)),
% 0.18/0.43 inference(cnf_transformation,[],[f882])).
% 0.18/0.43 thf(f882,plain,(
% 0.18/0.43 ((ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2)))) != $true)),
% 0.18/0.43 inference(flattening,[],[f869])).
% 0.18/0.43 thf(f869,plain,(
% 0.18/0.43 ~((ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2)))) = $true)),
% 0.18/0.43 inference(fool_elimination,[],[f868])).
% 0.18/0.43 thf(f868,plain,(
% 0.18/0.43 ~(ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2))))),
% 0.18/0.43 inference(rectify,[],[f302])).
% 0.18/0.43 thf(f302,negated_conjecture,(
% 0.18/0.43 ~(ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2))))),
% 0.18/0.43 inference(negated_conjecture,[],[f301])).
% 0.18/0.43 thf(f301,conjecture,(
% 0.18/0.43 (ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2))))),
% 0.18/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.18/0.43 % SZS output end Proof for theBenchmark
% 0.18/0.43 % (16931)------------------------------
% 0.18/0.43 % (16931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43 % (16931)Termination reason: Refutation
% 0.18/0.43
% 0.18/0.43 % (16931)Memory used [KB]: 6780
% 0.18/0.43 % (16931)Time elapsed: 0.053 s
% 0.18/0.43 % (16931)Instructions burned: 105 (million)
% 0.18/0.43 % (16931)------------------------------
% 0.18/0.43 % (16931)------------------------------
% 0.18/0.43 % (16925)Success in time 0.072 s
% 0.18/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------