TSTP Solution File: NUM671^4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM671^4 : TPTP v8.2.0. Released v7.1.0.
% 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 : n028.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 : Tue May 21 01:44:32 EDT 2024
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : NUM671^4 : TPTP v8.2.0. Released v7.1.0.
% 0.05/0.13 % 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
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 20 04:24:23 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 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
% 0.11/0.37 % (21824)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)
% 0.11/0.37 % (21827)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)
% 0.11/0.37 % (21828)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)
% 0.11/0.37 % (21825)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)
% 0.11/0.37 % (21826)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.37 % (21829)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.37 % (21830)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)
% 0.11/0.37 % (21826)Instruction limit reached!
% 0.11/0.37 % (21826)------------------------------
% 0.11/0.37 % (21826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (21826)Termination reason: Unknown
% 0.11/0.37 % (21826)Termination phase: shuffling
% 0.11/0.37 % (21827)Instruction limit reached!
% 0.11/0.37 % (21827)------------------------------
% 0.11/0.37 % (21827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37
% 0.11/0.37 % (21826)Memory used [KB]: 1279
% 0.11/0.37 % (21826)Time elapsed: 0.003 s
% 0.11/0.37 % (21826)Instructions burned: 2 (million)
% 0.11/0.37 % (21826)------------------------------
% 0.11/0.37 % (21826)------------------------------
% 0.11/0.37 % (21827)Termination reason: Unknown
% 0.11/0.37 % (21827)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (21827)Memory used [KB]: 1279
% 0.11/0.37 % (21827)Time elapsed: 0.003 s
% 0.11/0.37 % (21827)Instructions burned: 2 (million)
% 0.11/0.37 % (21827)------------------------------
% 0.11/0.37 % (21827)------------------------------
% 0.11/0.37 % (21830)Instruction limit reached!
% 0.11/0.37 % (21830)------------------------------
% 0.11/0.37 % (21830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (21830)Termination reason: Unknown
% 0.11/0.37 % (21830)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (21830)Memory used [KB]: 1279
% 0.11/0.37 % (21830)Time elapsed: 0.003 s
% 0.11/0.37 % (21830)Instructions burned: 3 (million)
% 0.11/0.37 % (21830)------------------------------
% 0.11/0.37 % (21830)------------------------------
% 0.11/0.37 % (21823)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.37 % (21824)Instruction limit reached!
% 0.11/0.37 % (21824)------------------------------
% 0.11/0.37 % (21824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (21824)Termination reason: Unknown
% 0.11/0.37 % (21824)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (21824)Memory used [KB]: 1279
% 0.11/0.37 % (21824)Time elapsed: 0.004 s
% 0.11/0.37 % (21824)Instructions burned: 4 (million)
% 0.11/0.37 % (21824)------------------------------
% 0.11/0.37 % (21824)------------------------------
% 0.11/0.37 % (21829)Instruction limit reached!
% 0.11/0.37 % (21829)------------------------------
% 0.11/0.37 % (21829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (21829)Termination reason: Unknown
% 0.11/0.37 % (21829)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (21829)Memory used [KB]: 1535
% 0.11/0.37 % (21829)Time elapsed: 0.010 s
% 0.11/0.37 % (21829)Instructions burned: 18 (million)
% 0.11/0.37 % (21829)------------------------------
% 0.11/0.37 % (21829)------------------------------
% 0.11/0.38 % (21825)Instruction limit reached!
% 0.11/0.38 % (21825)------------------------------
% 0.11/0.38 % (21825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (21825)Termination reason: Unknown
% 0.11/0.38 % (21825)Termination phase: Property scanning
% 0.11/0.38
% 0.11/0.38 % (21825)Memory used [KB]: 1663
% 0.11/0.38 % (21825)Time elapsed: 0.014 s
% 0.11/0.38 % (21825)Instructions burned: 27 (million)
% 0.11/0.38 % (21825)------------------------------
% 0.11/0.38 % (21825)------------------------------
% 0.11/0.38 % (21831)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)
% 0.11/0.38 % (21833)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)
% 0.11/0.38 % (21834)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)
% 0.11/0.38 % (21833)Instruction limit reached!
% 0.11/0.38 % (21833)------------------------------
% 0.11/0.38 % (21833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (21833)Termination reason: Unknown
% 0.11/0.38 % (21833)Termination phase: shuffling
% 0.11/0.38
% 0.11/0.38 % (21833)Memory used [KB]: 1279
% 0.11/0.38 % (21833)Time elapsed: 0.003 s
% 0.11/0.38 % (21833)Instructions burned: 3 (million)
% 0.11/0.38 % (21833)------------------------------
% 0.11/0.38 % (21833)------------------------------
% 0.11/0.39 % (21828)Refutation not found, incomplete strategy
% 0.11/0.39 % (21828)------------------------------
% 0.11/0.39 % (21828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (21828)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.39
% 0.11/0.39
% 0.11/0.39 % (21828)Memory used [KB]: 6140
% 0.11/0.39 % (21828)Time elapsed: 0.022 s
% 0.11/0.39 % (21828)Instructions burned: 44 (million)
% 0.11/0.39 % (21828)------------------------------
% 0.11/0.39 % (21828)------------------------------
% 0.11/0.39 % (21835)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.39 % (21835)Instruction limit reached!
% 0.17/0.39 % (21835)------------------------------
% 0.17/0.39 % (21835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (21835)Termination reason: Unknown
% 0.17/0.39 % (21835)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (21835)Memory used [KB]: 1407
% 0.17/0.39 % (21835)Time elapsed: 0.005 s
% 0.17/0.39 % (21835)Instructions burned: 8 (million)
% 0.17/0.39 % (21835)------------------------------
% 0.17/0.39 % (21835)------------------------------
% 0.17/0.39 % (21836)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.39 % (21832)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)
% 0.17/0.39 % (21837)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)
% 0.17/0.40 % (21837)Instruction limit reached!
% 0.17/0.40 % (21837)------------------------------
% 0.17/0.40 % (21837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (21837)Termination reason: Unknown
% 0.17/0.40 % (21837)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (21837)Memory used [KB]: 1279
% 0.17/0.40 % (21837)Time elapsed: 0.003 s
% 0.17/0.40 % (21837)Instructions burned: 3 (million)
% 0.17/0.40 % (21837)------------------------------
% 0.17/0.40 % (21837)------------------------------
% 0.17/0.40 % (21831)Instruction limit reached!
% 0.17/0.40 % (21831)------------------------------
% 0.17/0.40 % (21831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (21831)Termination reason: Unknown
% 0.17/0.40 % (21831)Termination phase: Property scanning
% 0.17/0.40
% 0.17/0.40 % (21831)Memory used [KB]: 1663
% 0.17/0.40 % (21831)Time elapsed: 0.018 s
% 0.17/0.40 % (21831)Instructions burned: 38 (million)
% 0.17/0.40 % (21831)------------------------------
% 0.17/0.40 % (21831)------------------------------
% 0.17/0.40 % (21836)Instruction limit reached!
% 0.17/0.40 % (21836)------------------------------
% 0.17/0.40 % (21836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (21836)Termination reason: Unknown
% 0.17/0.40 % (21836)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (21836)Memory used [KB]: 1535
% 0.17/0.40 % (21836)Time elapsed: 0.009 s
% 0.17/0.40 % (21836)Instructions burned: 17 (million)
% 0.17/0.40 % (21836)------------------------------
% 0.17/0.40 % (21836)------------------------------
% 0.17/0.40 % (21832)Instruction limit reached!
% 0.17/0.40 % (21832)------------------------------
% 0.17/0.40 % (21832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (21832)Termination reason: Unknown
% 0.17/0.40 % (21832)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (21832)Memory used [KB]: 1535
% 0.17/0.40 % (21832)Time elapsed: 0.010 s
% 0.17/0.40 % (21832)Instructions burned: 15 (million)
% 0.17/0.40 % (21832)------------------------------
% 0.17/0.40 % (21832)------------------------------
% 0.17/0.40 % (21839)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)
% 0.17/0.40 % (21838)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)
% 0.17/0.41 % (21838)Instruction limit reached!
% 0.17/0.41 % (21838)------------------------------
% 0.17/0.41 % (21838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (21838)Termination reason: Unknown
% 0.17/0.41 % (21838)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (21838)Memory used [KB]: 1279
% 0.17/0.41 % (21838)Time elapsed: 0.003 s
% 0.17/0.41 % (21838)Instructions burned: 3 (million)
% 0.17/0.41 % (21838)------------------------------
% 0.17/0.41 % (21838)------------------------------
% 0.17/0.41 % (21839)Instruction limit reached!
% 0.17/0.41 % (21839)------------------------------
% 0.17/0.41 % (21839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (21839)Termination reason: Unknown
% 0.17/0.41 % (21839)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (21839)Memory used [KB]: 1407
% 0.17/0.41 % (21839)Time elapsed: 0.005 s
% 0.17/0.41 % (21839)Instructions burned: 8 (million)
% 0.17/0.41 % (21839)------------------------------
% 0.17/0.41 % (21839)------------------------------
% 0.17/0.41 % (21841)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.41 % (21842)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)
% 0.17/0.41 % (21841)Instruction limit reached!
% 0.17/0.41 % (21841)------------------------------
% 0.17/0.41 % (21841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (21841)Termination reason: Unknown
% 0.17/0.41 % (21841)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (21841)Memory used [KB]: 1279
% 0.17/0.41 % (21841)Time elapsed: 0.004 s
% 0.17/0.41 % (21841)Instructions burned: 5 (million)
% 0.17/0.41 % (21841)------------------------------
% 0.17/0.41 % (21841)------------------------------
% 0.17/0.41 % (21843)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.17/0.41 % (21840)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)
% 0.17/0.41 % (21840)Instruction limit reached!
% 0.17/0.41 % (21840)------------------------------
% 0.17/0.41 % (21840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (21840)Termination reason: Unknown
% 0.17/0.41 % (21840)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (21840)Memory used [KB]: 1279
% 0.17/0.41 % (21840)Time elapsed: 0.003 s
% 0.17/0.41 % (21840)Instructions burned: 3 (million)
% 0.17/0.41 % (21840)------------------------------
% 0.17/0.41 % (21840)------------------------------
% 0.17/0.42 % (21842)Instruction limit reached!
% 0.17/0.42 % (21842)------------------------------
% 0.17/0.42 % (21842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (21842)Termination reason: Unknown
% 0.17/0.42 % (21842)Termination phase: shuffling
% 0.17/0.42
% 0.17/0.42 % (21842)Memory used [KB]: 1535
% 0.17/0.42 % (21842)Time elapsed: 0.010 s
% 0.17/0.42 % (21842)Instructions burned: 19 (million)
% 0.17/0.42 % (21842)------------------------------
% 0.17/0.42 % (21842)------------------------------
% 0.17/0.42 % (21845)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.17/0.42 % (21844)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.42 % (21844)Instruction limit reached!
% 0.17/0.42 % (21844)------------------------------
% 0.17/0.42 % (21844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (21844)Termination reason: Unknown
% 0.17/0.42 % (21844)Termination phase: shuffling
% 0.17/0.42
% 0.17/0.42 % (21844)Memory used [KB]: 1407
% 0.17/0.42 % (21844)Time elapsed: 0.005 s
% 0.17/0.42 % (21844)Instructions burned: 8 (million)
% 0.17/0.42 % (21844)------------------------------
% 0.17/0.42 % (21844)------------------------------
% 0.17/0.43 % (21823)Instruction limit reached!
% 0.17/0.43 % (21823)------------------------------
% 0.17/0.43 % (21823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (21823)Termination reason: Unknown
% 0.17/0.43 % (21823)Termination phase: Function definition elimination
% 0.17/0.43
% 0.17/0.43 % (21823)Memory used [KB]: 1918
% 0.17/0.43 % (21823)Time elapsed: 0.060 s
% 0.17/0.43 % (21823)Instructions burned: 185 (million)
% 0.17/0.43 % (21823)------------------------------
% 0.17/0.43 % (21823)------------------------------
% 0.17/0.43 % (21847)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.17/0.43 % (21847)Instruction limit reached!
% 0.17/0.43 % (21847)------------------------------
% 0.17/0.43 % (21847)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (21847)Termination reason: Unknown
% 0.17/0.43 % (21847)Termination phase: shuffling
% 0.17/0.43
% 0.17/0.43 % (21847)Memory used [KB]: 1279
% 0.17/0.43 % (21847)Time elapsed: 0.004 s
% 0.17/0.43 % (21847)Instructions burned: 6 (million)
% 0.17/0.43 % (21847)------------------------------
% 0.17/0.43 % (21847)------------------------------
% 0.17/0.43 % (21848)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.43 % (21848)Instruction limit reached!
% 0.17/0.43 % (21848)------------------------------
% 0.17/0.43 % (21848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (21848)Termination reason: Unknown
% 0.17/0.43 % (21848)Termination phase: shuffling
% 0.17/0.43
% 0.17/0.43 % (21848)Memory used [KB]: 1279
% 0.17/0.43 % (21848)Time elapsed: 0.004 s
% 0.17/0.43 % (21848)Instructions burned: 6 (million)
% 0.17/0.43 % (21848)------------------------------
% 0.17/0.43 % (21848)------------------------------
% 0.17/0.44 % (21849)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.17/0.44 % (21846)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.17/0.44 % (21850)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.17/0.44 % (21851)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.17/0.45 % (21846)Instruction limit reached!
% 0.17/0.45 % (21846)------------------------------
% 0.17/0.45 % (21846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.45 % (21846)Termination reason: Unknown
% 0.17/0.45 % (21846)Termination phase: shuffling
% 0.17/0.45
% 0.17/0.45 % (21846)Memory used [KB]: 1535
% 0.17/0.45 % (21846)Time elapsed: 0.009 s
% 0.17/0.45 % (21846)Instructions burned: 21 (million)
% 0.17/0.45 % (21846)------------------------------
% 0.17/0.45 % (21846)------------------------------
% 0.17/0.45 % (21852)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.17/0.45 % (21851)Instruction limit reached!
% 0.17/0.45 % (21851)------------------------------
% 0.17/0.45 % (21851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.45 % (21851)Termination reason: Unknown
% 0.17/0.45 % (21851)Termination phase: shuffling
% 0.17/0.45
% 0.17/0.45 % (21851)Memory used [KB]: 1535
% 0.17/0.45 % (21851)Time elapsed: 0.010 s
% 0.17/0.45 % (21851)Instructions burned: 19 (million)
% 0.17/0.45 % (21851)------------------------------
% 0.17/0.45 % (21851)------------------------------
% 0.17/0.46 % (21845)Refutation not found, incomplete strategy
% 0.17/0.46 % (21845)------------------------------
% 0.17/0.46 % (21845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.46 % (21845)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.46
% 0.17/0.46
% 0.17/0.46 % (21845)Memory used [KB]: 6396
% 0.17/0.46 % (21845)Time elapsed: 0.039 s
% 0.17/0.46 % (21845)Instructions burned: 84 (million)
% 0.17/0.46 % (21845)------------------------------
% 0.17/0.46 % (21845)------------------------------
% 0.17/0.46 % (21854)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.47 % (21854)Instruction limit reached!
% 0.17/0.47 % (21854)------------------------------
% 0.17/0.47 % (21854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.47 % (21854)Termination reason: Unknown
% 0.17/0.47 % (21854)Termination phase: shuffling
% 0.17/0.47
% 0.17/0.47 % (21854)Memory used [KB]: 1279
% 0.17/0.47 % (21854)Time elapsed: 0.003 s
% 0.17/0.47 % (21854)Instructions burned: 3 (million)
% 0.17/0.47 % (21854)------------------------------
% 0.17/0.47 % (21854)------------------------------
% 0.17/0.47 % (21853)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.17/0.47 % (21855)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.17/0.48 % (21856)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.17/0.48 % (21853)Instruction limit reached!
% 0.17/0.48 % (21853)------------------------------
% 0.17/0.48 % (21853)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.48 % (21853)Termination reason: Unknown
% 0.17/0.48 % (21853)Termination phase: shuffling
% 0.17/0.48
% 0.17/0.48 % (21853)Memory used [KB]: 1535
% 0.17/0.48 % (21853)Time elapsed: 0.010 s
% 0.17/0.48 % (21853)Instructions burned: 19 (million)
% 0.17/0.48 % (21853)------------------------------
% 0.17/0.48 % (21853)------------------------------
% 0.17/0.48 % (21855)Instruction limit reached!
% 0.17/0.48 % (21855)------------------------------
% 0.17/0.48 % (21855)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.48 % (21855)Termination reason: Unknown
% 0.17/0.48 % (21855)Termination phase: Property scanning
% 0.17/0.48
% 0.17/0.48 % (21855)Memory used [KB]: 1663
% 0.17/0.48 % (21855)Time elapsed: 0.015 s
% 0.17/0.48 % (21855)Instructions burned: 30 (million)
% 0.17/0.48 % (21855)------------------------------
% 0.17/0.48 % (21855)------------------------------
% 0.17/0.49 % (21850)First to succeed.
% 0.17/0.49 % (21850)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% 0.17/0.49 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 0.17/0.49 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 0.17/0.49 thf(func_def_3, type, eps: ($i > $o) > $i).
% 0.17/0.49 thf(func_def_4, type, in: $i > $i > $o).
% 0.17/0.49 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 0.17/0.49 thf(func_def_7, type, union: $i > $i).
% 0.17/0.49 thf(func_def_8, type, power: $i > $i).
% 0.17/0.49 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 0.17/0.49 thf(func_def_10, type, d_Union_closed: $i > $o).
% 0.17/0.49 thf(func_def_11, type, d_Power_closed: $i > $o).
% 0.17/0.49 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 0.17/0.49 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 0.17/0.49 thf(func_def_14, type, univof: $i > $i).
% 0.17/0.49 thf(func_def_15, type, if: $o > $i > $i > $i).
% 0.17/0.49 thf(func_def_16, type, nIn: $i > $i > $o).
% 0.17/0.49 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 0.17/0.49 thf(func_def_18, type, d_Sing: $i > $i).
% 0.17/0.49 thf(func_def_19, type, binunion: $i > $i > $i).
% 0.17/0.49 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 0.17/0.49 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 0.17/0.49 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 0.17/0.49 thf(func_def_23, type, setminus: $i > $i > $i).
% 0.17/0.49 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 0.17/0.49 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 0.17/0.49 thf(func_def_26, type, ordsucc: $i > $i).
% 0.17/0.49 thf(func_def_27, type, nat_p: $i > $o).
% 0.17/0.49 thf(func_def_29, type, d_Inj1: $i > $i).
% 0.17/0.49 thf(func_def_30, type, d_Inj0: $i > $i).
% 0.17/0.49 thf(func_def_31, type, d_Unj: $i > $i).
% 0.17/0.49 thf(func_def_32, type, pair: $i > $i > $i).
% 0.17/0.49 thf(func_def_33, type, proj0: $i > $i).
% 0.17/0.49 thf(func_def_34, type, proj1: $i > $i).
% 0.17/0.49 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 0.17/0.49 thf(func_def_36, type, setprod: $i > $i > $i).
% 0.17/0.49 thf(func_def_37, type, ap: $i > $i > $i).
% 0.17/0.49 thf(func_def_38, type, pair_p: $i > $o).
% 0.17/0.49 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 0.17/0.49 thf(func_def_40, type, imp: $o > $o > $o).
% 0.17/0.49 thf(func_def_41, type, d_not: $o > $o).
% 0.17/0.49 thf(func_def_42, type, wel: $o > $o).
% 0.17/0.49 thf(func_def_44, type, l_ec: $o > $o > $o).
% 0.17/0.49 thf(func_def_45, type, d_and: $o > $o > $o).
% 0.17/0.49 thf(func_def_46, type, l_or: $o > $o > $o).
% 0.17/0.49 thf(func_def_47, type, orec: $o > $o > $o).
% 0.17/0.49 thf(func_def_48, type, l_iff: $o > $o > $o).
% 0.17/0.49 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 0.17/0.49 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 0.17/0.49 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 0.17/0.49 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 0.17/0.49 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 0.17/0.49 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 0.17/0.49 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 0.17/0.49 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 0.17/0.49 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 0.17/0.49 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 0.17/0.49 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 0.17/0.49 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 0.17/0.49 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_72, type, first: $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_73, type, second: $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_80, type, r_ec: $o > $o > $o).
% 0.17/0.49 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_82, type, empty: $i > $i > $o).
% 0.17/0.49 thf(func_def_83, type, nonempty: $i > $i > $o).
% 0.17/0.49 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 0.17/0.49 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 0.17/0.49 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 0.17/0.49 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 0.17/0.49 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 0.17/0.49 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 0.17/0.49 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 0.17/0.49 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 0.17/0.49 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 0.17/0.49 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 0.17/0.49 thf(func_def_103, type, n_is: $i > $i > $o).
% 0.17/0.49 thf(func_def_104, type, nis: $i > $i > $o).
% 0.17/0.49 thf(func_def_105, type, n_in: $i > $i > $o).
% 0.17/0.49 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 0.17/0.49 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 0.17/0.49 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 0.17/0.49 thf(func_def_110, type, cond1: $i > $o).
% 0.17/0.49 thf(func_def_111, type, cond2: $i > $o).
% 0.17/0.49 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 0.17/0.49 thf(func_def_113, type, d_22_prop1: $i > $o).
% 0.17/0.49 thf(func_def_114, type, d_23_prop1: $i > $o).
% 0.17/0.49 thf(func_def_115, type, d_24_prop1: $i > $o).
% 0.17/0.49 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 0.17/0.49 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_118, type, prop4: $i > $o).
% 0.17/0.49 thf(func_def_119, type, d_24_g: $i > $i).
% 0.17/0.49 thf(func_def_120, type, plus: $i > $i).
% 0.17/0.49 thf(func_def_121, type, n_pl: $i > $i > $i).
% 0.17/0.49 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 0.17/0.49 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 0.17/0.49 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 0.17/0.49 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 0.17/0.49 thf(func_def_128, type, iii: $i > $i > $o).
% 0.17/0.49 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 0.17/0.49 thf(func_def_130, type, moreis: $i > $i > $o).
% 0.17/0.49 thf(func_def_131, type, lessis: $i > $i > $o).
% 0.17/0.49 thf(func_def_152, type, sK1: ($i > $o) > $i).
% 0.17/0.49 thf(func_def_156, type, sK5: $i > ($i > $i) > ($i > $i) > $i).
% 0.17/0.49 thf(func_def_157, type, ph6: !>[X0: $tType]:(X0)).
% 0.17/0.49 thf(f1118,plain,(
% 0.17/0.49 $false),
% 0.17/0.49 inference(trivial_inequality_removal,[],[f1117])).
% 0.17/0.49 thf(f1117,plain,(
% 0.17/0.49 ((n_pl @ sK2 @ sK4) != (n_pl @ sK2 @ sK4))),
% 0.17/0.49 inference(forward_demodulation,[],[f877,f878])).
% 0.17/0.49 thf(f878,plain,(
% 0.17/0.49 (sK3 = sK2)),
% 0.17/0.49 inference(equality_proxy_clausification,[],[f876])).
% 0.17/0.49 thf(f876,plain,(
% 0.17/0.49 ((sK2 = sK3) = $true)),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f873])).
% 0.17/0.49 thf(f873,plain,(
% 0.17/0.49 (((sK2 = sK3) => ((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4))) = $false)),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f872])).
% 0.17/0.49 thf(f872,plain,(
% 0.17/0.49 ($false = ((in @ sK4 @ nat) => ((sK2 = sK3) => ((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4)))))),
% 0.17/0.49 inference(beta_eta_normalization,[],[f871])).
% 0.17/0.49 thf(f871,plain,(
% 0.17/0.49 (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK2 = sK3) => ((n_pl @ sK2 @ Y0) = (n_pl @ sK3 @ Y0))))) @ sK4) = $false)),
% 0.17/0.49 inference(sigma_clausification,[],[f869])).
% 0.17/0.49 thf(f869,plain,(
% 0.17/0.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK2 = sK3) => ((n_pl @ sK2 @ Y0) = (n_pl @ sK3 @ Y0)))))))),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f868])).
% 0.17/0.49 thf(f868,plain,(
% 0.17/0.49 (((in @ sK3 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK2 = sK3) => ((n_pl @ sK2 @ Y0) = (n_pl @ sK3 @ Y0))))))) = $false)),
% 0.17/0.49 inference(beta_eta_normalization,[],[f867])).
% 0.17/0.49 thf(f867,plain,(
% 0.17/0.49 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK2 = Y0) => ((n_pl @ sK2 @ Y1) = (n_pl @ Y0 @ Y1)))))))) @ sK3))),
% 0.17/0.49 inference(sigma_clausification,[],[f865])).
% 0.17/0.49 thf(f865,plain,(
% 0.17/0.49 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK2 = Y0) => ((n_pl @ sK2 @ Y1) = (n_pl @ Y0 @ Y1))))))))))),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f864])).
% 0.17/0.49 thf(f864,plain,(
% 0.17/0.49 ($false = ((in @ sK2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK2 = Y0) => ((n_pl @ sK2 @ Y1) = (n_pl @ Y0 @ Y1)))))))))))),
% 0.17/0.49 inference(beta_eta_normalization,[],[f863])).
% 0.17/0.49 thf(f863,plain,(
% 0.17/0.49 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((Y0 = Y1) => ((n_pl @ Y0 @ Y2) = (n_pl @ Y1 @ Y2))))))))))) @ sK2) = $false)),
% 0.17/0.49 inference(sigma_clausification,[],[f862])).
% 0.17/0.49 thf(f862,plain,(
% 0.17/0.49 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((Y0 = Y1) => ((n_pl @ Y0 @ Y2) = (n_pl @ Y1 @ Y2)))))))))))) = $false)),
% 0.17/0.49 inference(not_proxy_clausification,[],[f726])).
% 0.17/0.49 thf(f726,plain,(
% 0.17/0.49 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((Y0 = Y1) => ((n_pl @ Y0 @ Y2) = (n_pl @ Y1 @ Y2))))))))))))) = $true)),
% 0.17/0.49 inference(beta_eta_normalization,[],[f686])).
% 0.17/0.49 thf(f686,plain,(
% 0.17/0.49 ((~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ Y1) => ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)))))))))) = $true)),
% 0.17/0.49 inference(definition_unfolding,[],[f642,f670,f670,f670,f671,f671])).
% 0.17/0.49 thf(f671,plain,(
% 0.17/0.49 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 0.17/0.49 inference(definition_unfolding,[],[f620,f663])).
% 0.17/0.49 thf(f663,plain,(
% 0.17/0.49 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 0.17/0.49 inference(cnf_transformation,[],[f450])).
% 0.17/0.49 thf(f450,plain,(
% 0.17/0.49 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 0.17/0.49 inference(fool_elimination,[],[f449])).
% 0.17/0.49 thf(f449,plain,(
% 0.17/0.49 ((^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))) = e_is)),
% 0.17/0.49 inference(rectify,[],[f91])).
% 0.17/0.49 thf(f91,axiom,(
% 0.17/0.49 ((^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))) = e_is)),
% 0.17/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_e_is)).
% 0.17/0.49 thf(f620,plain,(
% 0.17/0.49 (n_is = (e_is @ nat))),
% 0.17/0.49 inference(cnf_transformation,[],[f529])).
% 0.17/0.49 thf(f529,plain,(
% 0.17/0.49 (n_is = (e_is @ nat))),
% 0.17/0.49 inference(fool_elimination,[],[f157])).
% 0.17/0.49 thf(f157,axiom,(
% 0.17/0.49 (n_is = (e_is @ nat))),
% 0.17/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_is)).
% 0.17/0.49 thf(f670,plain,(
% 0.17/0.49 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.17/0.49 inference(definition_unfolding,[],[f637,f613])).
% 0.17/0.49 thf(f613,plain,(
% 0.17/0.49 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 0.17/0.49 inference(cnf_transformation,[],[f587])).
% 0.17/0.49 thf(f587,plain,(
% 0.17/0.49 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 0.17/0.49 inference(fool_elimination,[],[f1])).
% 0.17/0.49 thf(f1,axiom,(
% 0.17/0.49 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
% 0.17/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_is_of)).
% 0.17/0.49 thf(f637,plain,(
% 0.17/0.49 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.17/0.49 inference(cnf_transformation,[],[f477])).
% 0.17/0.49 thf(f477,plain,(
% 0.17/0.49 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.17/0.49 inference(fool_elimination,[],[f476])).
% 0.17/0.49 thf(f476,plain,(
% 0.17/0.49 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 0.17/0.49 inference(rectify,[],[f2])).
% 0.17/0.49 thf(f2,axiom,(
% 0.17/0.49 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 0.17/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 0.17/0.49 thf(f642,plain,(
% 0.17/0.49 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ Y0 @ Y1) => (n_is @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)))))))))))),
% 0.17/0.49 inference(cnf_transformation,[],[f328])).
% 0.17/0.49 thf(f328,plain,(
% 0.17/0.49 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ Y0 @ Y1) => (n_is @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)))))))))))),
% 0.17/0.49 inference(fool_elimination,[],[f327])).
% 0.17/0.49 thf(f327,plain,(
% 0.17/0.49 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((n_is @ X1 @ X3) => (n_is @ (n_pl @ X1 @ X5) @ (n_pl @ X3 @ X5)))))))))),
% 0.17/0.49 inference(rectify,[],[f240])).
% 0.17/0.49 thf(f240,negated_conjecture,(
% 0.17/0.49 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((n_is @ X0 @ X1) => (n_is @ (n_pl @ X0 @ X2) @ (n_pl @ X1 @ X2)))))))))),
% 0.17/0.49 inference(negated_conjecture,[],[f239])).
% 0.17/0.49 thf(f239,conjecture,(
% 0.17/0.49 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((n_is @ X0 @ X1) => (n_is @ (n_pl @ X0 @ X2) @ (n_pl @ X1 @ X2)))))))))),
% 0.17/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19b)).
% 0.17/0.49 thf(f877,plain,(
% 0.17/0.49 ((n_pl @ sK3 @ sK4) != (n_pl @ sK2 @ sK4))),
% 0.17/0.49 inference(equality_proxy_clausification,[],[f875])).
% 0.17/0.49 thf(f875,plain,(
% 0.17/0.49 ($false = ((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4)))),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f873])).
% 0.17/0.49 % SZS output end Proof for theBenchmark
% 0.17/0.49 % (21850)------------------------------
% 0.17/0.49 % (21850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49 % (21850)Termination reason: Refutation
% 0.17/0.49
% 0.17/0.49 % (21850)Memory used [KB]: 6652
% 0.17/0.49 % (21850)Time elapsed: 0.051 s
% 0.17/0.49 % (21850)Instructions burned: 107 (million)
% 0.17/0.49 % (21850)------------------------------
% 0.17/0.49 % (21850)------------------------------
% 0.17/0.49 % (21822)Success in time 0.154 s
% 0.17/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------