TSTP Solution File: ITP151^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP151^2 : 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 : 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 22:34:04 EDT 2024
% Result : Theorem 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ITP151^2 : TPTP v8.2.0. Released v7.5.0.
% 0.13/0.15 % 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
% 0.13/0.36 % Computer : n020.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat May 18 18:02:23 EDT 2024
% 0.20/0.36 % CPUTime :
% 0.20/0.36 This is a TH1_THM_EQU_NAR problem
% 0.20/0.36 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
% 0.20/0.38 % (15073)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)
% 0.20/0.38 % (15073)Instruction limit reached!
% 0.20/0.38 % (15073)------------------------------
% 0.20/0.38 % (15073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (15073)Termination reason: Unknown
% 0.20/0.38 % (15073)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (15073)Memory used [KB]: 1279
% 0.20/0.38 % (15073)Time elapsed: 0.003 s
% 0.20/0.38 % (15073)Instructions burned: 3 (million)
% 0.20/0.38 % (15073)------------------------------
% 0.20/0.38 % (15073)------------------------------
% 0.20/0.39 % (15070)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)
% 0.20/0.39 % (15071)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)
% 0.20/0.39 % (15069)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.39 % (15072)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.39 % (15068)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)
% 0.20/0.39 % (15069)Instruction limit reached!
% 0.20/0.39 % (15069)------------------------------
% 0.20/0.39 % (15069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (15069)Termination reason: Unknown
% 0.20/0.39 % (15069)Termination phase: shuffling
% 0.20/0.39 % (15070)Instruction limit reached!
% 0.20/0.39 % (15070)------------------------------
% 0.20/0.39 % (15070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39
% 0.20/0.39 % (15069)Memory used [KB]: 1279
% 0.20/0.39 % (15069)Time elapsed: 0.003 s
% 0.20/0.39 % (15069)Instructions burned: 2 (million)
% 0.20/0.39 % (15069)------------------------------
% 0.20/0.39 % (15069)------------------------------
% 0.20/0.39 % (15070)Termination reason: Unknown
% 0.20/0.39 % (15070)Termination phase: shuffling
% 0.20/0.39
% 0.20/0.39 % (15070)Memory used [KB]: 1279
% 0.20/0.39 % (15070)Time elapsed: 0.003 s
% 0.20/0.39 % (15070)Instructions burned: 3 (million)
% 0.20/0.39 % (15070)------------------------------
% 0.20/0.39 % (15070)------------------------------
% 0.20/0.39 % (15066)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.39 % (15067)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)
% 0.20/0.39 % (15067)Instruction limit reached!
% 0.20/0.39 % (15067)------------------------------
% 0.20/0.39 % (15067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (15067)Termination reason: Unknown
% 0.20/0.40 % (15067)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (15067)Memory used [KB]: 1407
% 0.20/0.40 % (15067)Time elapsed: 0.006 s
% 0.20/0.40 % (15067)Instructions burned: 4 (million)
% 0.20/0.40 % (15067)------------------------------
% 0.20/0.40 % (15067)------------------------------
% 0.20/0.40 % (15072)Instruction limit reached!
% 0.20/0.40 % (15072)------------------------------
% 0.20/0.40 % (15072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (15072)Termination reason: Unknown
% 0.20/0.40 % (15072)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (15072)Memory used [KB]: 1663
% 0.20/0.40 % (15072)Time elapsed: 0.011 s
% 0.20/0.40 % (15072)Instructions burned: 19 (million)
% 0.20/0.40 % (15072)------------------------------
% 0.20/0.40 % (15072)------------------------------
% 0.20/0.40 % (15074)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)
% 0.20/0.40 % (15068)Instruction limit reached!
% 0.20/0.40 % (15068)------------------------------
% 0.20/0.40 % (15068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (15068)Termination reason: Unknown
% 0.20/0.40 % (15068)Termination phase: Preprocessing 1
% 0.20/0.40
% 0.20/0.40 % (15068)Memory used [KB]: 1663
% 0.20/0.40 % (15068)Time elapsed: 0.015 s
% 0.20/0.40 % (15068)Instructions burned: 27 (million)
% 0.20/0.40 % (15068)------------------------------
% 0.20/0.40 % (15068)------------------------------
% 0.20/0.40 % (15075)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)
% 0.20/0.40 % (15076)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)
% 0.20/0.40 % (15076)Instruction limit reached!
% 0.20/0.40 % (15076)------------------------------
% 0.20/0.40 % (15076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (15076)Termination reason: Unknown
% 0.20/0.40 % (15076)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (15076)Memory used [KB]: 1279
% 0.20/0.40 % (15076)Time elapsed: 0.003 s
% 0.20/0.40 % (15076)Instructions burned: 3 (million)
% 0.20/0.40 % (15076)------------------------------
% 0.20/0.40 % (15076)------------------------------
% 0.20/0.41 % (15075)Instruction limit reached!
% 0.20/0.41 % (15075)------------------------------
% 0.20/0.41 % (15075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (15075)Termination reason: Unknown
% 0.20/0.41 % (15075)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (15075)Memory used [KB]: 1663
% 0.20/0.41 % (15075)Time elapsed: 0.010 s
% 0.20/0.41 % (15075)Instructions burned: 15 (million)
% 0.20/0.41 % (15075)------------------------------
% 0.20/0.41 % (15075)------------------------------
% 0.20/0.41 % (15079)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.41 % (15077)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)
% 0.20/0.41 % (15078)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.41 % (15079)Instruction limit reached!
% 0.20/0.41 % (15079)------------------------------
% 0.20/0.41 % (15079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (15079)Termination reason: Unknown
% 0.20/0.41 % (15079)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (15079)Memory used [KB]: 1663
% 0.20/0.41 % (15079)Time elapsed: 0.007 s
% 0.20/0.41 % (15079)Instructions burned: 16 (million)
% 0.20/0.41 % (15080)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)
% 0.20/0.41 % (15079)------------------------------
% 0.20/0.41 % (15079)------------------------------
% 0.20/0.42 % (15074)Instruction limit reached!
% 0.20/0.42 % (15074)------------------------------
% 0.20/0.42 % (15074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (15074)Termination reason: Unknown
% 0.20/0.42 % (15074)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (15074)Memory used [KB]: 2046
% 0.20/0.42 % (15074)Time elapsed: 0.019 s
% 0.20/0.42 % (15074)Instructions burned: 38 (million)
% 0.20/0.42 % (15074)------------------------------
% 0.20/0.42 % (15074)------------------------------
% 0.20/0.42 % (15080)Instruction limit reached!
% 0.20/0.42 % (15080)------------------------------
% 0.20/0.42 % (15080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (15080)Termination reason: Unknown
% 0.20/0.42 % (15080)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (15080)Memory used [KB]: 1407
% 0.20/0.42 % (15080)Time elapsed: 0.003 s
% 0.20/0.42 % (15080)Instructions burned: 3 (million)
% 0.20/0.42 % (15080)------------------------------
% 0.20/0.42 % (15080)------------------------------
% 0.20/0.42 % (15078)Instruction limit reached!
% 0.20/0.42 % (15078)------------------------------
% 0.20/0.42 % (15078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (15078)Termination reason: Unknown
% 0.20/0.42 % (15078)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (15078)Memory used [KB]: 1535
% 0.20/0.42 % (15078)Time elapsed: 0.005 s
% 0.20/0.42 % (15078)Instructions burned: 8 (million)
% 0.20/0.42 % (15078)------------------------------
% 0.20/0.42 % (15078)------------------------------
% 0.20/0.42 % (15081)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)
% 0.20/0.42 % (15082)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)
% 0.20/0.42 % (15081)Instruction limit reached!
% 0.20/0.42 % (15081)------------------------------
% 0.20/0.42 % (15081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (15081)Termination reason: Unknown
% 0.20/0.42 % (15081)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (15081)Memory used [KB]: 1407
% 0.20/0.42 % (15081)Time elapsed: 0.004 s
% 0.20/0.42 % (15081)Instructions burned: 4 (million)
% 0.20/0.42 % (15081)------------------------------
% 0.20/0.42 % (15081)------------------------------
% 0.20/0.43 % (15082)Instruction limit reached!
% 0.20/0.43 % (15082)------------------------------
% 0.20/0.43 % (15082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (15082)Termination reason: Unknown
% 0.20/0.43 % (15082)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (15082)Memory used [KB]: 1535
% 0.20/0.43 % (15082)Time elapsed: 0.004 s
% 0.20/0.43 % (15082)Instructions burned: 7 (million)
% 0.20/0.43 % (15082)------------------------------
% 0.20/0.43 % (15082)------------------------------
% 0.20/0.43 % (15085)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.43 % (15084)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.43 % (15083)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)
% 0.20/0.43 % (15084)Instruction limit reached!
% 0.20/0.43 % (15084)------------------------------
% 0.20/0.43 % (15084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (15084)Termination reason: Unknown
% 0.20/0.43 % (15084)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (15084)Memory used [KB]: 1407
% 0.20/0.43 % (15084)Time elapsed: 0.004 s
% 0.20/0.43 % (15084)Instructions burned: 4 (million)
% 0.20/0.43 % (15084)------------------------------
% 0.20/0.43 % (15084)------------------------------
% 0.20/0.43 % (15083)Instruction limit reached!
% 0.20/0.43 % (15083)------------------------------
% 0.20/0.43 % (15083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (15083)Termination reason: Unknown
% 0.20/0.43 % (15083)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (15083)Memory used [KB]: 1407
% 0.20/0.43 % (15083)Time elapsed: 0.003 s
% 0.20/0.43 % (15083)Instructions burned: 4 (million)
% 0.20/0.43 % (15083)------------------------------
% 0.20/0.43 % (15083)------------------------------
% 0.20/0.43 % (15085)Instruction limit reached!
% 0.20/0.43 % (15085)------------------------------
% 0.20/0.43 % (15085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (15085)Termination reason: Unknown
% 0.20/0.43 % (15085)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (15085)Memory used [KB]: 1663
% 0.20/0.43 % (15085)Time elapsed: 0.008 s
% 0.20/0.43 % (15085)Instructions burned: 19 (million)
% 0.20/0.43 % (15085)------------------------------
% 0.20/0.43 % (15085)------------------------------
% 0.20/0.43 % (15086)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.44 % (15087)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44 % (15071)First to succeed.
% 0.20/0.44 % (15071)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Theorem for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% 0.20/0.44 thf(type_def_6, type, nat: $tType).
% 0.20/0.44 thf(type_def_7, type, polyno1783536151e_poly: ($tType) > $tType).
% 0.20/0.44 thf(type_def_8, type, a: $tType).
% 0.20/0.44 thf(type_def_9, type, int: $tType).
% 0.20/0.44 thf(func_def_0, type, polyno1783536151e_poly: ($tType) > $tType).
% 0.20/0.44 thf(func_def_1, type, nat: $tType).
% 0.20/0.44 thf(func_def_2, type, int: $tType).
% 0.20/0.44 thf(func_def_3, type, a: $tType).
% 0.20/0.44 thf(func_def_4, type, type: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_5, type, zero: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_6, type, ord: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_7, type, order: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_8, type, group_add: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_9, type, no_bot: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_10, type, no_top: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_11, type, semiring_1: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_12, type, monoid_mult: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_13, type, linorder: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_14, type, preorder: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_15, type, semiring_char_0: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_16, type, wellorder: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_17, type, dense_order: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_18, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_19, type, linordered_field: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_20, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_21, type, semiring_1_cancel: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_22, type, dense_linorder: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_23, type, linordered_semidom: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_24, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_25, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_26, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_27, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_28, type, semiri134348788visors: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_29, type, archim1804426504_field: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_30, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_31, type, condit1656338222tinuum: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_32, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 0.20/0.44 thf(func_def_33, type, minus_minus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.20/0.44 thf(func_def_34, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.20/0.44 thf(func_def_35, type, suc: nat > nat).
% 0.20/0.44 thf(func_def_36, type, semiring_1_of_nat: !>[X0: $tType]:(nat > X0)).
% 0.20/0.44 thf(func_def_37, type, ord_less: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.20/0.44 thf(func_def_38, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.20/0.44 thf(func_def_39, type, polyno498386536degree: !>[X0: $tType]:(polyno1783536151e_poly @ X0 > nat)).
% 0.20/0.44 thf(func_def_40, type, polyno367318022egreen: !>[X0: $tType]:(polyno1783536151e_poly @ X0 > nat > nat)).
% 0.20/0.44 thf(func_def_41, type, polyno2122670676snpoly: !>[X0: $tType]:(polyno1783536151e_poly @ X0 > $o)).
% 0.20/0.44 thf(func_def_42, type, polyno86455060npolyh: !>[X0: $tType]:(polyno1783536151e_poly @ X0 > nat > $o)).
% 0.20/0.44 thf(func_def_43, type, power_power: !>[X0: $tType]:(X0 > nat > X0)).
% 0.20/0.44 thf(func_def_44, type, n: nat).
% 0.20/0.44 thf(func_def_45, type, p: polyno1783536151e_poly @ a).
% 0.20/0.44 thf(func_def_60, type, sK0: int > nat).
% 0.20/0.44 thf(func_def_61, type, sK1: (nat > $o) > nat > nat).
% 0.20/0.44 thf(func_def_62, type, sK2: (nat > $o) > nat > nat).
% 0.20/0.44 thf(func_def_63, type, sK3: nat > nat).
% 0.20/0.44 thf(func_def_64, type, sK4: (nat > $o) > nat > nat).
% 0.20/0.44 thf(func_def_65, type, sK5: (nat > $o) > nat > nat).
% 0.20/0.44 thf(func_def_66, type, sK6: (nat > nat > $o) > nat).
% 0.20/0.44 thf(func_def_67, type, sK7: (nat > nat > $o) > nat).
% 0.20/0.44 thf(func_def_68, type, sK8: (nat > nat > $o) > nat).
% 0.20/0.44 thf(func_def_69, type, sK9: (nat > nat > $o) > nat).
% 0.20/0.44 thf(func_def_70, type, sK10: (nat > $o) > nat > nat).
% 0.20/0.44 thf(func_def_71, type, sK11: (nat > $o) > nat > nat).
% 0.20/0.44 thf(func_def_72, type, sK12: int > nat).
% 0.20/0.44 thf(func_def_73, type, sK13: (nat > $o) > nat).
% 0.20/0.44 thf(func_def_74, type, sK14: nat > nat).
% 0.20/0.44 thf(func_def_75, type, sK15: (nat > nat > $o) > nat).
% 0.20/0.44 thf(func_def_76, type, sK16: (nat > nat > $o) > nat).
% 0.20/0.44 thf(func_def_77, type, sK17: (nat > nat > $o) > nat).
% 0.20/0.44 thf(func_def_78, type, sK18: (nat > nat > $o) > nat).
% 0.20/0.44 thf(func_def_79, type, sK19: nat > nat).
% 0.20/0.44 thf(func_def_80, type, sK20: nat > nat).
% 0.20/0.44 thf(func_def_81, type, sK21: !>[X0: $tType]:((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat > X0)).
% 0.20/0.44 thf(func_def_82, type, sK22: !>[X0: $tType]:((nat > X0 > X0 > $o) > (nat > X0 > $o) > X0)).
% 0.20/0.44 thf(func_def_83, type, sK23: !>[X0: $tType]:((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat)).
% 0.20/0.44 thf(func_def_84, type, sK24: nat > nat > nat).
% 0.20/0.44 thf(func_def_85, type, sK25: (nat > $o) > nat).
% 0.20/0.44 thf(func_def_86, type, sK26: (nat > $o) > nat).
% 0.20/0.44 thf(func_def_87, type, sK27: nat > nat).
% 0.20/0.44 thf(func_def_88, type, sK28: (nat > $o) > nat).
% 0.20/0.44 thf(func_def_89, type, sK29: (nat > $o) > nat).
% 0.20/0.44 thf(func_def_90, type, sK30: (nat > $o) > nat).
% 0.20/0.44 thf(func_def_91, type, sK31: nat > nat > nat).
% 0.20/0.44 thf(func_def_92, type, sK32: (nat > $o) > nat > nat).
% 0.20/0.44 thf(func_def_93, type, sK33: (nat > $o) > nat > nat).
% 0.20/0.44 thf(func_def_94, type, sK34: nat > nat > nat).
% 0.20/0.44 thf(func_def_95, type, sK35: int > nat).
% 0.20/0.44 thf(func_def_96, type, sK36: nat > nat > nat).
% 0.20/0.44 thf(func_def_97, type, sK37: (nat > $o) > nat > nat).
% 0.20/0.44 thf(func_def_98, type, sK38: (nat > $o) > nat > nat).
% 0.20/0.44 thf(func_def_99, type, sK39: int > nat).
% 0.20/0.44 thf(func_def_100, type, sK40: !>[X0: $tType]:((X0 > nat) > (X0 > $o) > X0)).
% 0.20/0.44 thf(func_def_101, type, sK41: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.20/0.44 thf(func_def_102, type, sK42: !>[X0: $tType]:((X0 > $o) > (X0 > nat) > X0)).
% 0.20/0.44 thf(func_def_103, type, sK43: (nat > $o) > nat).
% 0.20/0.44 thf(func_def_105, type, ph45: !>[X0: $tType]:(X0)).
% 0.20/0.44 thf(f1418,plain,(
% 0.20/0.44 $false),
% 0.20/0.44 inference(subsumption_resolution,[],[f1417,f1198])).
% 0.20/0.44 thf(f1198,plain,(
% 0.20/0.44 (zero @ a = $true)),
% 0.20/0.44 inference(cnf_transformation,[],[f806])).
% 0.20/0.44 thf(f806,plain,(
% 0.20/0.44 (zero @ a = $true)),
% 0.20/0.44 inference(fool_elimination,[],[f805])).
% 0.20/0.44 thf(f805,plain,(
% 0.20/0.44 zero @ a),
% 0.20/0.44 inference(rectify,[],[f301])).
% 0.20/0.44 thf(f301,axiom,(
% 0.20/0.44 zero @ a),
% 0.20/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)).
% 0.20/0.44 thf(f1417,plain,(
% 0.20/0.44 (zero @ a != $true)),
% 0.20/0.44 inference(subsumption_resolution,[],[f1416,f1069])).
% 0.20/0.44 thf(f1069,plain,(
% 0.20/0.44 (zero_zero @ nat != (polyno498386536degree @ a @ p))),
% 0.20/0.44 inference(cnf_transformation,[],[f865])).
% 0.20/0.44 thf(f865,plain,(
% 0.20/0.44 (zero_zero @ nat != (polyno498386536degree @ a @ p))),
% 0.20/0.44 inference(flattening,[],[f305])).
% 0.20/0.44 thf(f305,negated_conjecture,(
% 0.20/0.44 ~(zero_zero @ nat = (polyno498386536degree @ a @ p))),
% 0.20/0.44 inference(negated_conjecture,[],[f304])).
% 0.20/0.44 thf(f304,conjecture,(
% 0.20/0.44 (zero_zero @ nat = (polyno498386536degree @ a @ p))),
% 0.20/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)).
% 0.20/0.44 thf(f1416,plain,(
% 0.20/0.44 (zero_zero @ nat = (polyno498386536degree @ a @ p)) | (zero @ a != $true)),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f1415])).
% 0.20/0.44 thf(f1415,plain,(
% 0.20/0.44 ($true != $true) | (zero @ a != $true) | (zero_zero @ nat = (polyno498386536degree @ a @ p))),
% 0.20/0.44 inference(superposition,[],[f1265,f1128])).
% 0.20/0.44 thf(f1128,plain,(
% 0.20/0.44 ((polyno86455060npolyh @ a @ p @ n) = $true)),
% 0.20/0.44 inference(cnf_transformation,[],[f648])).
% 0.20/0.44 thf(f648,plain,(
% 0.20/0.44 ((polyno86455060npolyh @ a @ p @ n) = $true)),
% 0.20/0.44 inference(fool_elimination,[],[f647])).
% 0.20/0.44 thf(f647,plain,(
% 0.20/0.44 (polyno86455060npolyh @ a @ p @ n)),
% 0.20/0.44 inference(rectify,[],[f303])).
% 0.20/0.44 thf(f303,axiom,(
% 0.20/0.44 (polyno86455060npolyh @ a @ p @ n)),
% 0.20/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.20/0.44 thf(f1265,plain,(
% 0.20/0.44 ( ! [X0 : $tType,X1 : polyno1783536151e_poly @ X0] : (($true != (polyno86455060npolyh @ X0 @ X1 @ n)) | (zero @ X0 != $true) | (zero_zero @ nat = (polyno498386536degree @ X0 @ X1))) )),
% 0.20/0.44 inference(superposition,[],[f1108,f1247])).
% 0.20/0.44 thf(f1247,plain,(
% 0.20/0.44 (n = (suc @ (sK14 @ n)))),
% 0.20/0.44 inference(trivial_inequality_removal,[],[f1246])).
% 0.20/0.44 thf(f1246,plain,(
% 0.20/0.44 (n = (suc @ (sK14 @ n))) | ($true != $true)),
% 0.20/0.44 inference(superposition,[],[f1126,f1137])).
% 0.20/0.44 thf(f1137,plain,(
% 0.20/0.44 ((ord_less @ nat @ zero_zero @ nat @ n) = $true)),
% 0.20/0.44 inference(cnf_transformation,[],[f434])).
% 0.20/0.44 thf(f434,plain,(
% 0.20/0.44 ((ord_less @ nat @ zero_zero @ nat @ n) = $true)),
% 0.20/0.44 inference(fool_elimination,[],[f433])).
% 0.20/0.44 thf(f433,plain,(
% 0.20/0.44 (ord_less @ nat @ zero_zero @ nat @ n)),
% 0.20/0.44 inference(rectify,[],[f302])).
% 0.20/0.44 thf(f302,axiom,(
% 0.20/0.44 (ord_less @ nat @ zero_zero @ nat @ n)),
% 0.20/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.20/0.44 thf(f1126,plain,(
% 0.20/0.44 ( ! [X0 : nat] : (((ord_less @ nat @ zero_zero @ nat @ X0) != $true) | ((suc @ (sK14 @ X0)) = X0)) )),
% 0.20/0.44 inference(cnf_transformation,[],[f1000])).
% 0.20/0.44 thf(f1000,plain,(
% 0.20/0.44 ! [X0 : nat] : ((((ord_less @ nat @ zero_zero @ nat @ X0) = $true) | ! [X1 : nat] : ((suc @ X1) != X0)) & (((suc @ (sK14 @ X0)) = X0) | ((ord_less @ nat @ zero_zero @ nat @ X0) != $true)))),
% 0.20/0.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f998,f999])).
% 0.20/0.44 thf(f999,plain,(
% 0.20/0.44 ! [X0 : nat] : (? [X2 : nat] : ((suc @ X2) = X0) => ((suc @ (sK14 @ X0)) = X0))),
% 0.20/0.44 introduced(choice_axiom,[])).
% 0.20/0.44 thf(f998,plain,(
% 0.20/0.44 ! [X0 : nat] : ((((ord_less @ nat @ zero_zero @ nat @ X0) = $true) | ! [X1 : nat] : ((suc @ X1) != X0)) & (? [X2 : nat] : ((suc @ X2) = X0) | ((ord_less @ nat @ zero_zero @ nat @ X0) != $true)))),
% 0.20/0.44 inference(rectify,[],[f997])).
% 0.20/0.44 thf(f997,plain,(
% 0.20/0.44 ! [X0 : nat] : ((((ord_less @ nat @ zero_zero @ nat @ X0) = $true) | ! [X1 : nat] : ((suc @ X1) != X0)) & (? [X1 : nat] : ((suc @ X1) = X0) | ((ord_less @ nat @ zero_zero @ nat @ X0) != $true)))),
% 0.20/0.44 inference(nnf_transformation,[],[f768])).
% 0.20/0.44 thf(f768,plain,(
% 0.20/0.44 ! [X0 : nat] : (((ord_less @ nat @ zero_zero @ nat @ X0) = $true) <=> ? [X1 : nat] : ((suc @ X1) = X0))),
% 0.20/0.44 inference(fool_elimination,[],[f767])).
% 0.20/0.44 thf(f767,plain,(
% 0.20/0.44 ! [X0 : nat] : ((ord_less @ nat @ zero_zero @ nat @ X0) = ? [X1 : nat] : ((suc @ X1) = X0))),
% 0.20/0.44 inference(rectify,[],[f92])).
% 0.20/0.44 thf(f92,axiom,(
% 0.20/0.44 ! [X1 : nat] : ((ord_less @ nat @ zero_zero @ nat @ X1) = ? [X43 : nat] : ((suc @ X43) = X1))),
% 0.20/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_gr0__conv__Suc)).
% 0.20/0.44 thf(f1108,plain,(
% 0.20/0.44 ( ! [X0 : $tType,X2 : nat,X1 : polyno1783536151e_poly @ X0] : (($true != (polyno86455060npolyh @ X0 @ X1 @ (suc @ X2))) | (zero_zero @ nat = (polyno498386536degree @ X0 @ X1)) | (zero @ X0 != $true)) )),
% 0.20/0.44 inference(cnf_transformation,[],[f938])).
% 0.20/0.44 thf(f938,plain,(
% 0.20/0.44 ! [X0 : $tType] : (! [X1 : polyno1783536151e_poly @ X0,X2 : nat] : ((zero_zero @ nat = (polyno498386536degree @ X0 @ X1)) | ($true != (polyno86455060npolyh @ X0 @ X1 @ (suc @ X2)))) | (zero @ X0 != $true))),
% 0.20/0.44 inference(ennf_transformation,[],[f506])).
% 0.20/0.44 thf(f506,plain,(
% 0.20/0.44 ! [X0 : $tType] : ((zero @ X0 = $true) => ! [X1 : polyno1783536151e_poly @ X0,X2 : nat] : (($true = (polyno86455060npolyh @ X0 @ X1 @ (suc @ X2))) => (zero_zero @ nat = (polyno498386536degree @ X0 @ X1))))),
% 0.20/0.44 inference(fool_elimination,[],[f505])).
% 0.20/0.44 thf(f505,plain,(
% 0.20/0.44 ! [X0 : $tType] : (zero @ X0 => ! [X1 : polyno1783536151e_poly @ X0,X2 : nat] : ((polyno86455060npolyh @ X0 @ X1 @ (suc @ X2)) => (zero_zero @ nat = (polyno498386536degree @ X0 @ X1))))),
% 0.20/0.44 inference(rectify,[],[f34])).
% 0.20/0.44 thf(f34,axiom,(
% 0.20/0.44 ! [X0 : $tType] : (zero @ X0 => ! [X20 : polyno1783536151e_poly @ X0,X1 : nat] : ((polyno86455060npolyh @ X0 @ X20 @ (suc @ X1)) => (zero_zero @ nat = (polyno498386536degree @ X0 @ X20))))),
% 0.20/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_degree__isnpolyh__Suc)).
% 0.20/0.44 % SZS output end Proof for theBenchmark
% 0.20/0.44 % (15071)------------------------------
% 0.20/0.44 % (15071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (15071)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (15071)Memory used [KB]: 6652
% 0.20/0.44 % (15071)Time elapsed: 0.056 s
% 0.20/0.44 % (15071)Instructions burned: 110 (million)
% 0.20/0.44 % (15071)------------------------------
% 0.20/0.44 % (15071)------------------------------
% 0.20/0.44 % (15065)Success in time 0.061 s
% 0.20/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------