TSTP Solution File: SYO038^1.003.003 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO038^1.003.003 : TPTP v8.2.0. Released v5.3.0.
% 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 : n011.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 09:02:20 EDT 2024
% Result : Theorem 0.17s 0.44s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO038^1.003.003 : TPTP v8.2.0. Released v5.3.0.
% 0.10/0.13 % 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
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 09:59:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TH0_THM_EQU_NAR problem
% 0.12/0.33 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/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % (13447)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)
% 0.12/0.35 % (13446)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)
% 0.12/0.35 % (13449)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)
% 0.12/0.35 % (13450)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)
% 0.12/0.35 % (13448)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.35 % (13452)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)
% 0.12/0.35 % (13451)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.35 % (13448)Instruction limit reached!
% 0.12/0.35 % (13448)------------------------------
% 0.12/0.35 % (13448)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (13448)Termination reason: Unknown
% 0.12/0.35 % (13448)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (13449)Instruction limit reached!
% 0.12/0.35 % (13449)------------------------------
% 0.12/0.35 % (13449)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (13449)Termination reason: Unknown
% 0.12/0.35 % (13449)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (13449)Memory used [KB]: 895
% 0.12/0.35 % (13449)Time elapsed: 0.003 s
% 0.12/0.35 % (13449)Instructions burned: 2 (million)
% 0.12/0.35 % (13449)------------------------------
% 0.12/0.35 % (13449)------------------------------
% 0.12/0.35 % (13448)Memory used [KB]: 895
% 0.12/0.35 % (13448)Time elapsed: 0.003 s
% 0.12/0.35 % (13448)Instructions burned: 2 (million)
% 0.12/0.35 % (13448)------------------------------
% 0.12/0.35 % (13448)------------------------------
% 0.12/0.35 % (13450)Refutation not found, incomplete strategy
% 0.12/0.35 % (13450)------------------------------
% 0.12/0.35 % (13450)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (13450)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % (13450)Memory used [KB]: 5500
% 0.12/0.35 % (13450)Time elapsed: 0.003 s
% 0.12/0.35 % (13450)Instructions burned: 2 (million)
% 0.12/0.35 % (13450)------------------------------
% 0.12/0.35 % (13450)------------------------------
% 0.12/0.35 % (13452)Instruction limit reached!
% 0.12/0.35 % (13452)------------------------------
% 0.12/0.35 % (13452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (13452)Termination reason: Unknown
% 0.12/0.35 % (13452)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (13452)Memory used [KB]: 5500
% 0.12/0.35 % (13452)Time elapsed: 0.004 s
% 0.12/0.35 % (13452)Instructions burned: 3 (million)
% 0.12/0.35 % (13452)------------------------------
% 0.12/0.35 % (13452)------------------------------
% 0.12/0.35 % (13446)Instruction limit reached!
% 0.12/0.35 % (13446)------------------------------
% 0.12/0.35 % (13446)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (13446)Termination reason: Unknown
% 0.12/0.35 % (13446)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (13446)Memory used [KB]: 5500
% 0.12/0.35 % (13446)Time elapsed: 0.005 s
% 0.12/0.35 % (13446)Instructions burned: 5 (million)
% 0.12/0.35 % (13446)------------------------------
% 0.12/0.35 % (13446)------------------------------
% 0.12/0.35 % (13445)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.36 % (13451)Instruction limit reached!
% 0.12/0.36 % (13451)------------------------------
% 0.12/0.36 % (13451)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (13451)Termination reason: Unknown
% 0.12/0.36 % (13451)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (13451)Memory used [KB]: 5628
% 0.12/0.36 % (13451)Time elapsed: 0.012 s
% 0.12/0.36 % (13451)Instructions burned: 18 (million)
% 0.12/0.36 % (13451)------------------------------
% 0.12/0.36 % (13451)------------------------------
% 0.12/0.36 % (13453)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)
% 0.12/0.36 % (13447)Instruction limit reached!
% 0.12/0.36 % (13447)------------------------------
% 0.12/0.36 % (13447)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (13447)Termination reason: Unknown
% 0.12/0.36 % (13447)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (13447)Memory used [KB]: 5628
% 0.12/0.36 % (13447)Time elapsed: 0.017 s
% 0.12/0.36 % (13447)Instructions burned: 28 (million)
% 0.12/0.36 % (13447)------------------------------
% 0.12/0.36 % (13447)------------------------------
% 0.12/0.37 % (13455)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)
% 0.12/0.37 % (13456)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)
% 0.12/0.37 % (13457)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.37 % (13455)Instruction limit reached!
% 0.12/0.37 % (13455)------------------------------
% 0.12/0.37 % (13455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (13455)Termination reason: Unknown
% 0.12/0.37 % (13455)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (13455)Memory used [KB]: 5500
% 0.12/0.37 % (13455)Time elapsed: 0.004 s
% 0.12/0.37 % (13455)Instructions burned: 4 (million)
% 0.12/0.37 % (13455)------------------------------
% 0.12/0.37 % (13455)------------------------------
% 0.12/0.37 % (13457)Instruction limit reached!
% 0.12/0.37 % (13457)------------------------------
% 0.12/0.37 % (13457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (13457)Termination reason: Unknown
% 0.12/0.37 % (13457)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (13457)Memory used [KB]: 1023
% 0.12/0.37 % (13457)Time elapsed: 0.006 s
% 0.12/0.37 % (13457)Instructions burned: 8 (million)
% 0.12/0.37 % (13457)------------------------------
% 0.12/0.37 % (13457)------------------------------
% 0.12/0.37 % (13454)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)
% 0.12/0.38 % (13454)Refutation not found, incomplete strategy
% 0.12/0.38 % (13454)------------------------------
% 0.12/0.38 % (13454)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (13454)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % (13454)Memory used [KB]: 5500
% 0.12/0.38 % (13454)Time elapsed: 0.003 s
% 0.12/0.38 % (13454)Instructions burned: 2 (million)
% 0.12/0.38 % (13454)------------------------------
% 0.12/0.38 % (13454)------------------------------
% 0.12/0.38 % (13459)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)
% 0.12/0.38 % (13459)Instruction limit reached!
% 0.12/0.38 % (13459)------------------------------
% 0.12/0.38 % (13459)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (13459)Termination reason: Unknown
% 0.12/0.38 % (13459)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (13459)Memory used [KB]: 5500
% 0.12/0.38 % (13459)Time elapsed: 0.004 s
% 0.12/0.38 % (13459)Instructions burned: 4 (million)
% 0.12/0.38 % (13459)------------------------------
% 0.12/0.38 % (13459)------------------------------
% 0.12/0.38 % (13458)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.12/0.38 % (13460)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)
% 0.12/0.38 % (13453)Instruction limit reached!
% 0.12/0.38 % (13453)------------------------------
% 0.12/0.38 % (13453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (13453)Termination reason: Unknown
% 0.12/0.38 % (13453)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (13453)Memory used [KB]: 5756
% 0.12/0.38 % (13453)Time elapsed: 0.021 s
% 0.12/0.38 % (13453)Instructions burned: 37 (million)
% 0.12/0.38 % (13453)------------------------------
% 0.12/0.38 % (13453)------------------------------
% 0.12/0.38 % (13460)Instruction limit reached!
% 0.12/0.38 % (13460)------------------------------
% 0.12/0.38 % (13460)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (13460)Termination reason: Unknown
% 0.12/0.38 % (13460)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (13460)Memory used [KB]: 1023
% 0.12/0.38 % (13460)Time elapsed: 0.003 s
% 0.12/0.38 % (13460)Instructions burned: 3 (million)
% 0.12/0.38 % (13460)------------------------------
% 0.12/0.38 % (13460)------------------------------
% 0.12/0.39 % (13462)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)
% 0.12/0.39 % (13458)Instruction limit reached!
% 0.12/0.39 % (13458)------------------------------
% 0.12/0.39 % (13458)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (13458)Termination reason: Unknown
% 0.12/0.39 % (13458)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (13458)Memory used [KB]: 5628
% 0.12/0.39 % (13458)Time elapsed: 0.011 s
% 0.12/0.39 % (13458)Instructions burned: 16 (million)
% 0.12/0.39 % (13458)------------------------------
% 0.12/0.39 % (13458)------------------------------
% 0.12/0.39 % (13462)Instruction limit reached!
% 0.12/0.39 % (13462)------------------------------
% 0.12/0.39 % (13462)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (13462)Termination reason: Unknown
% 0.12/0.39 % (13462)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (13462)Memory used [KB]: 5500
% 0.12/0.39 % (13462)Time elapsed: 0.004 s
% 0.12/0.39 % (13462)Instructions burned: 4 (million)
% 0.12/0.39 % (13462)------------------------------
% 0.12/0.39 % (13462)------------------------------
% 0.12/0.39 % (13461)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)
% 0.12/0.39 % (13461)Refutation not found, incomplete strategy
% 0.12/0.39 % (13461)------------------------------
% 0.12/0.39 % (13461)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (13461)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 % (13461)Memory used [KB]: 5500
% 0.12/0.39 % (13461)Time elapsed: 0.003 s
% 0.12/0.39 % (13461)Instructions burned: 2 (million)
% 0.12/0.39 % (13461)------------------------------
% 0.12/0.39 % (13461)------------------------------
% 0.12/0.40 % (13463)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.40 % (13464)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)
% 0.12/0.40 % (13463)Instruction limit reached!
% 0.12/0.40 % (13463)------------------------------
% 0.12/0.40 % (13463)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40 % (13463)Termination reason: Unknown
% 0.12/0.40 % (13463)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (13463)Memory used [KB]: 5500
% 0.12/0.40 % (13463)Time elapsed: 0.004 s
% 0.12/0.40 % (13463)Instructions burned: 5 (million)
% 0.12/0.40 % (13463)------------------------------
% 0.12/0.40 % (13463)------------------------------
% 0.12/0.40 % (13466)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.12/0.40 % (13467)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)
% 0.12/0.41 % (13467)Refutation not found, incomplete strategy
% 0.12/0.41 % (13467)------------------------------
% 0.12/0.41 % (13467)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.41 % (13467)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.41
% 0.12/0.41
% 0.12/0.41 % (13467)Memory used [KB]: 5500
% 0.12/0.41 % (13467)Time elapsed: 0.002 s
% 0.12/0.41 % (13467)Instructions burned: 1 (million)
% 0.12/0.41 % (13467)------------------------------
% 0.12/0.41 % (13467)------------------------------
% 0.12/0.41 % (13466)Instruction limit reached!
% 0.12/0.41 % (13466)------------------------------
% 0.12/0.41 % (13466)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.41 % (13466)Termination reason: Unknown
% 0.12/0.41 % (13466)Termination phase: Saturation
% 0.12/0.41
% 0.12/0.41 % (13466)Memory used [KB]: 5500
% 0.12/0.41 % (13466)Time elapsed: 0.005 s
% 0.12/0.41 % (13466)Instructions burned: 6 (million)
% 0.12/0.41 % (13466)------------------------------
% 0.12/0.41 % (13466)------------------------------
% 0.12/0.41 % (13468)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)
% 0.12/0.41 % (13464)Instruction limit reached!
% 0.12/0.41 % (13464)------------------------------
% 0.12/0.41 % (13464)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.41 % (13464)Termination reason: Unknown
% 0.12/0.41 % (13464)Termination phase: Saturation
% 0.12/0.41
% 0.12/0.41 % (13464)Memory used [KB]: 5628
% 0.12/0.41 % (13464)Time elapsed: 0.012 s
% 0.12/0.41 % (13464)Instructions burned: 20 (million)
% 0.12/0.41 % (13464)------------------------------
% 0.12/0.41 % (13464)------------------------------
% 0.17/0.41 % (13465)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 % (13469)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.17/0.42 % (13469)Instruction limit reached!
% 0.17/0.42 % (13469)------------------------------
% 0.17/0.42 % (13469)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (13469)Termination reason: Unknown
% 0.17/0.42 % (13469)Termination phase: Saturation
% 0.17/0.42
% 0.17/0.42 % (13469)Memory used [KB]: 5500
% 0.17/0.42 % (13469)Time elapsed: 0.005 s
% 0.17/0.42 % (13469)Instructions burned: 6 (million)
% 0.17/0.42 % (13469)------------------------------
% 0.17/0.42 % (13469)------------------------------
% 0.17/0.42 % (13470)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)
% 0.17/0.42 % (13468)Instruction limit reached!
% 0.17/0.42 % (13468)------------------------------
% 0.17/0.42 % (13468)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (13468)Termination reason: Unknown
% 0.17/0.42 % (13468)Termination phase: Saturation
% 0.17/0.42
% 0.17/0.42 % (13468)Memory used [KB]: 5628
% 0.17/0.42 % (13468)Time elapsed: 0.014 s
% 0.17/0.42 % (13468)Instructions burned: 22 (million)
% 0.17/0.42 % (13468)------------------------------
% 0.17/0.42 % (13468)------------------------------
% 0.17/0.42 % (13471)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.17/0.42 % (13470)Refutation not found, incomplete strategy
% 0.17/0.42 % (13470)------------------------------
% 0.17/0.42 % (13470)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (13470)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.42
% 0.17/0.42
% 0.17/0.42 % (13470)Memory used [KB]: 5500
% 0.17/0.42 % (13470)Time elapsed: 0.003 s
% 0.17/0.42 % (13470)Instructions burned: 2 (million)
% 0.17/0.42 % (13470)------------------------------
% 0.17/0.42 % (13470)------------------------------
% 0.17/0.42 % (13472)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)
% 0.17/0.43 % (13473)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)
% 0.17/0.43 % (13473)Refutation not found, incomplete strategy
% 0.17/0.43 % (13473)------------------------------
% 0.17/0.43 % (13473)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (13473)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.43
% 0.17/0.43
% 0.17/0.43 % (13473)Memory used [KB]: 5500
% 0.17/0.43 % (13473)Time elapsed: 0.003 s
% 0.17/0.43 % (13473)Instructions burned: 2 (million)
% 0.17/0.43 % (13473)------------------------------
% 0.17/0.43 % (13473)------------------------------
% 0.17/0.43 % (13475)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.17/0.44 % (13474)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)
% 0.17/0.44 % (13456)First to succeed.
% 0.17/0.44 % (13456)Refutation found. Thanks to Tanya!
% 0.17/0.44 % SZS status Theorem for theBenchmark
% 0.17/0.44 % SZS output start Proof for theBenchmark
% 0.17/0.44 thf(func_def_1, type, s: $i > $i).
% 0.17/0.44 thf(func_def_2, type, f: $i > $i > $i).
% 0.17/0.44 thf(func_def_3, type, d: $i > $o).
% 0.17/0.44 thf(func_def_15, type, ph1: !>[X0: $tType]:(X0)).
% 0.17/0.44 thf(f474,plain,(
% 0.17/0.44 $false),
% 0.17/0.44 inference(trivial_inequality_removal,[],[f473])).
% 0.17/0.44 thf(f473,plain,(
% 0.17/0.44 ($true = $false)),
% 0.17/0.44 inference(backward_demodulation,[],[f469,f472])).
% 0.17/0.44 thf(f472,plain,(
% 0.17/0.44 ((d @ (f @ (s @ one) @ (s @ (s @ (s @ one))))) = $false)),
% 0.17/0.44 inference(backward_demodulation,[],[f25,f466])).
% 0.17/0.44 thf(f466,plain,(
% 0.17/0.44 ((f @ (s @ (s @ one)) @ (s @ (s @ one))) = (f @ (s @ one) @ (s @ (s @ (s @ one)))))),
% 0.17/0.44 inference(superposition,[],[f79,f419])).
% 0.17/0.44 thf(f419,plain,(
% 0.17/0.44 ((s @ (s @ (s @ one))) = (f @ (s @ (s @ one)) @ (s @ one)))),
% 0.17/0.44 inference(superposition,[],[f94,f373])).
% 0.17/0.44 thf(f373,plain,(
% 0.17/0.44 ((s @ (s @ (s @ one))) = (f @ (s @ (s @ (s @ one))) @ (s @ one)))),
% 0.17/0.44 inference(superposition,[],[f203,f94])).
% 0.17/0.44 thf(f203,plain,(
% 0.17/0.44 ((s @ (s @ (s @ one))) = (f @ (s @ (s @ (s @ (s @ one)))) @ (s @ one)))),
% 0.17/0.44 inference(forward_demodulation,[],[f202,f62])).
% 0.17/0.44 thf(f62,plain,(
% 0.17/0.44 ((f @ one @ (s @ one)) = (s @ (s @ (s @ one))))),
% 0.17/0.44 inference(superposition,[],[f54,f45])).
% 0.17/0.44 thf(f45,plain,(
% 0.17/0.44 ( ! [X1 : $i] : (((s @ one) = (f @ X1 @ one))) )),
% 0.17/0.44 inference(equality_proxy_clausification,[],[f40])).
% 0.17/0.44 thf(f40,plain,(
% 0.17/0.44 ( ! [X1 : $i] : (($true = ((f @ X1 @ one) = (s @ one)))) )),
% 0.17/0.44 inference(beta_eta_normalization,[],[f39])).
% 0.17/0.44 thf(f39,plain,(
% 0.17/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((f @ Y0 @ one) = (s @ one))) @ X1))) )),
% 0.17/0.44 inference(pi_clausification,[],[f23])).
% 0.17/0.44 thf(f23,plain,(
% 0.17/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((f @ Y0 @ one) = (s @ one)))))),
% 0.17/0.44 inference(cnf_transformation,[],[f18])).
% 0.17/0.44 thf(f18,plain,(
% 0.17/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((f @ Y0 @ one) = (s @ one)))))),
% 0.17/0.44 inference(fool_elimination,[],[f1])).
% 0.17/0.44 thf(f1,axiom,(
% 0.17/0.44 ! [X0] : ((f @ X0 @ one) = (s @ one))),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 0.17/0.44 thf(f54,plain,(
% 0.17/0.44 ( ! [X1 : $i] : (((f @ one @ (s @ X1)) = (s @ (s @ (f @ one @ X1))))) )),
% 0.17/0.44 inference(equality_proxy_clausification,[],[f49])).
% 0.17/0.44 thf(f49,plain,(
% 0.17/0.44 ( ! [X1 : $i] : (($true = ((s @ (s @ (f @ one @ X1))) = (f @ one @ (s @ X1))))) )),
% 0.17/0.44 inference(beta_eta_normalization,[],[f48])).
% 0.17/0.44 thf(f48,plain,(
% 0.17/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((s @ (s @ (f @ one @ Y0))) = (f @ one @ (s @ Y0)))) @ X1))) )),
% 0.17/0.44 inference(pi_clausification,[],[f24])).
% 0.17/0.44 thf(f24,plain,(
% 0.17/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((s @ (s @ (f @ one @ Y0))) = (f @ one @ (s @ Y0))))))),
% 0.17/0.44 inference(cnf_transformation,[],[f15])).
% 0.17/0.44 thf(f15,plain,(
% 0.17/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((s @ (s @ (f @ one @ Y0))) = (f @ one @ (s @ Y0))))))),
% 0.17/0.44 inference(fool_elimination,[],[f14])).
% 0.17/0.44 thf(f14,plain,(
% 0.17/0.44 ! [X0] : ((s @ (s @ (f @ one @ X0))) = (f @ one @ (s @ X0)))),
% 0.17/0.44 inference(rectify,[],[f2])).
% 0.17/0.44 thf(f2,axiom,(
% 0.17/0.44 ! [X1] : ((f @ one @ (s @ X1)) = (s @ (s @ (f @ one @ X1))))),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
% 0.17/0.44 thf(f202,plain,(
% 0.17/0.44 ((f @ one @ (s @ one)) = (f @ (s @ (s @ (s @ (s @ one)))) @ (s @ one)))),
% 0.17/0.44 inference(forward_demodulation,[],[f201,f94])).
% 0.17/0.44 thf(f201,plain,(
% 0.17/0.44 ((f @ (s @ one) @ (s @ one)) = (f @ (s @ (s @ (s @ (s @ one)))) @ (s @ one)))),
% 0.17/0.44 inference(forward_demodulation,[],[f200,f45])).
% 0.17/0.44 thf(f200,plain,(
% 0.17/0.44 ((f @ (f @ one @ one) @ (s @ one)) = (f @ (s @ (s @ (s @ (s @ one)))) @ (s @ one)))),
% 0.17/0.44 inference(forward_demodulation,[],[f199,f105])).
% 0.17/0.44 thf(f105,plain,(
% 0.17/0.44 ( ! [X0 : $i] : (((f @ (f @ one @ (s @ X0)) @ (s @ one)) = (f @ (f @ one @ X0) @ (s @ one)))) )),
% 0.17/0.44 inference(forward_demodulation,[],[f103,f94])).
% 0.17/0.44 thf(f103,plain,(
% 0.17/0.44 ( ! [X0 : $i] : (((f @ (s @ (f @ one @ X0)) @ (s @ one)) = (f @ (f @ one @ (s @ X0)) @ (s @ one)))) )),
% 0.17/0.44 inference(superposition,[],[f94,f54])).
% 0.17/0.44 thf(f199,plain,(
% 0.17/0.44 ((f @ (s @ (s @ (s @ (s @ one)))) @ (s @ one)) = (f @ (f @ one @ (s @ one)) @ (s @ one)))),
% 0.17/0.44 inference(forward_demodulation,[],[f194,f105])).
% 0.17/0.44 thf(f194,plain,(
% 0.17/0.44 ((f @ (s @ (s @ (s @ (s @ one)))) @ (s @ one)) = (f @ (f @ one @ (s @ (s @ one))) @ (s @ one)))),
% 0.17/0.44 inference(superposition,[],[f94,f72])).
% 0.17/0.44 thf(f72,plain,(
% 0.17/0.44 ((f @ one @ (s @ (s @ one))) = (s @ (s @ (s @ (s @ (s @ one))))))),
% 0.17/0.44 inference(superposition,[],[f54,f62])).
% 0.17/0.44 thf(f94,plain,(
% 0.17/0.44 ( ! [X0 : $i] : (((f @ X0 @ (s @ one)) = (f @ (s @ X0) @ (s @ one)))) )),
% 0.17/0.44 inference(superposition,[],[f79,f45])).
% 0.17/0.44 thf(f79,plain,(
% 0.17/0.44 ( ! [X2 : $i,X1 : $i] : (((f @ (s @ X2) @ (s @ X1)) = (f @ X2 @ (f @ (s @ X2) @ X1)))) )),
% 0.17/0.44 inference(equality_proxy_clausification,[],[f76])).
% 0.17/0.44 thf(f76,plain,(
% 0.17/0.44 ( ! [X2 : $i,X1 : $i] : (($true = ((f @ (s @ X2) @ (s @ X1)) = (f @ X2 @ (f @ (s @ X2) @ X1))))) )),
% 0.17/0.44 inference(beta_eta_normalization,[],[f75])).
% 0.17/0.44 thf(f75,plain,(
% 0.17/0.44 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((f @ (s @ Y0) @ (s @ X1)) = (f @ Y0 @ (f @ (s @ Y0) @ X1)))) @ X2))) )),
% 0.17/0.44 inference(pi_clausification,[],[f71])).
% 0.17/0.44 thf(f71,plain,(
% 0.17/0.44 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((f @ (s @ Y0) @ (s @ X1)) = (f @ Y0 @ (f @ (s @ Y0) @ X1))))))) )),
% 0.17/0.44 inference(beta_eta_normalization,[],[f70])).
% 0.17/0.44 thf(f70,plain,(
% 0.17/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((f @ (s @ Y1) @ (s @ Y0)) = (f @ Y1 @ (f @ (s @ Y1) @ Y0)))))) @ X1))) )),
% 0.17/0.44 inference(pi_clausification,[],[f21])).
% 0.17/0.44 thf(f21,plain,(
% 0.17/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((f @ (s @ Y1) @ (s @ Y0)) = (f @ Y1 @ (f @ (s @ Y1) @ Y0))))))))),
% 0.17/0.44 inference(cnf_transformation,[],[f9])).
% 0.17/0.44 thf(f9,plain,(
% 0.17/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((f @ (s @ Y1) @ (s @ Y0)) = (f @ Y1 @ (f @ (s @ Y1) @ Y0))))))))),
% 0.17/0.44 inference(fool_elimination,[],[f3])).
% 0.17/0.44 thf(f3,axiom,(
% 0.17/0.44 ! [X0,X1] : ((f @ (s @ X0) @ (s @ X1)) = (f @ X0 @ (f @ (s @ X0) @ X1)))),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
% 0.17/0.44 thf(f25,plain,(
% 0.17/0.44 ((d @ (f @ (s @ (s @ one)) @ (s @ (s @ one)))) = $false)),
% 0.17/0.44 inference(not_proxy_clausification,[],[f20])).
% 0.17/0.44 thf(f20,plain,(
% 0.17/0.44 ((~ (d @ (f @ (s @ (s @ one)) @ (s @ (s @ one))))) = $true)),
% 0.17/0.44 inference(cnf_transformation,[],[f11])).
% 0.17/0.44 thf(f11,plain,(
% 0.17/0.44 ((~ (d @ (f @ (s @ (s @ one)) @ (s @ (s @ one))))) = $true)),
% 0.17/0.44 inference(fool_elimination,[],[f10])).
% 0.17/0.44 thf(f10,plain,(
% 0.17/0.44 ~(d @ (f @ (s @ (s @ one)) @ (s @ (s @ one))))),
% 0.17/0.44 inference(rectify,[],[f7])).
% 0.17/0.44 thf(f7,negated_conjecture,(
% 0.17/0.44 ~(d @ (f @ (s @ (s @ one)) @ (s @ (s @ one))))),
% 0.17/0.44 inference(negated_conjecture,[],[f6])).
% 0.17/0.44 thf(f6,conjecture,(
% 0.17/0.44 (d @ (f @ (s @ (s @ one)) @ (s @ (s @ one))))),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.17/0.44 thf(f469,plain,(
% 0.17/0.44 ((d @ (f @ (s @ one) @ (s @ (s @ (s @ one))))) = $true)),
% 0.17/0.44 inference(backward_demodulation,[],[f240,f467])).
% 0.17/0.44 thf(f467,plain,(
% 0.17/0.44 ((f @ one @ (f @ one @ (s @ (s @ (s @ one))))) = (f @ (s @ one) @ (s @ (s @ (s @ one)))))),
% 0.17/0.44 inference(forward_demodulation,[],[f464,f45])).
% 0.17/0.44 thf(f464,plain,(
% 0.17/0.44 ((f @ (s @ one) @ (s @ (s @ (f @ (s @ (s @ one)) @ one)))) = (f @ one @ (f @ one @ (s @ (s @ (s @ one))))))),
% 0.17/0.44 inference(superposition,[],[f162,f419])).
% 0.17/0.44 thf(f162,plain,(
% 0.17/0.44 ( ! [X0 : $i,X1 : $i] : (((f @ X0 @ (f @ X0 @ (f @ (s @ (s @ X0)) @ (s @ X1)))) = (f @ (s @ X0) @ (s @ (s @ (f @ (s @ (s @ X0)) @ X1)))))) )),
% 0.17/0.44 inference(superposition,[],[f79,f95])).
% 0.17/0.44 thf(f95,plain,(
% 0.17/0.44 ( ! [X0 : $i,X1 : $i] : (((f @ X0 @ (f @ (s @ (s @ X0)) @ (s @ X1))) = (f @ (s @ X0) @ (s @ (f @ (s @ (s @ X0)) @ X1))))) )),
% 0.17/0.44 inference(superposition,[],[f79,f79])).
% 0.17/0.44 thf(f240,plain,(
% 0.17/0.44 ($true = (d @ (f @ one @ (f @ one @ (s @ (s @ (s @ one)))))))),
% 0.17/0.44 inference(forward_demodulation,[],[f239,f54])).
% 0.17/0.44 thf(f239,plain,(
% 0.17/0.44 ($true = (d @ (f @ one @ (s @ (s @ (f @ one @ (s @ (s @ one))))))))),
% 0.17/0.44 inference(boolean_simplification,[],[f234])).
% 0.17/0.44 thf(f234,plain,(
% 0.17/0.44 ($true = ($true => (d @ (f @ one @ (s @ (s @ (f @ one @ (s @ (s @ one)))))))))),
% 0.17/0.44 inference(superposition,[],[f63,f208])).
% 0.17/0.44 thf(f208,plain,(
% 0.17/0.44 ((d @ (s @ (f @ one @ (s @ (f @ one @ (s @ (s @ one))))))) = $true)),
% 0.17/0.44 inference(boolean_simplification,[],[f207])).
% 0.17/0.44 thf(f207,plain,(
% 0.17/0.44 ($true = ($true => (d @ (s @ (f @ one @ (s @ (f @ one @ (s @ (s @ one)))))))))),
% 0.17/0.44 inference(superposition,[],[f29,f189])).
% 0.17/0.44 thf(f189,plain,(
% 0.17/0.44 ($true = (d @ (f @ one @ (s @ (f @ one @ (s @ (s @ one)))))))),
% 0.17/0.44 inference(forward_demodulation,[],[f188,f54])).
% 0.17/0.44 thf(f188,plain,(
% 0.17/0.44 ($true = (d @ (s @ (s @ (f @ one @ (f @ one @ (s @ (s @ one))))))))),
% 0.17/0.44 inference(boolean_simplification,[],[f185])).
% 0.17/0.44 thf(f185,plain,(
% 0.17/0.44 ($true = ($true => (d @ (s @ (s @ (f @ one @ (f @ one @ (s @ (s @ one)))))))))),
% 0.17/0.44 inference(superposition,[],[f29,f167])).
% 0.17/0.44 thf(f167,plain,(
% 0.17/0.44 ((d @ (s @ (f @ one @ (f @ one @ (s @ (s @ one)))))) = $true)),
% 0.17/0.44 inference(boolean_simplification,[],[f166])).
% 0.17/0.44 thf(f166,plain,(
% 0.17/0.44 (($true => (d @ (s @ (f @ one @ (f @ one @ (s @ (s @ one))))))) = $true)),
% 0.17/0.44 inference(superposition,[],[f29,f152])).
% 0.17/0.44 thf(f152,plain,(
% 0.17/0.44 ($true = (d @ (f @ one @ (f @ one @ (s @ (s @ one))))))),
% 0.17/0.44 inference(forward_demodulation,[],[f150,f72])).
% 0.17/0.44 thf(f150,plain,(
% 0.17/0.44 ($true = (d @ (f @ one @ (s @ (s @ (s @ (s @ (s @ one))))))))),
% 0.17/0.44 inference(boolean_simplification,[],[f146])).
% 0.17/0.44 thf(f146,plain,(
% 0.17/0.44 ($true = ($true => (d @ (f @ one @ (s @ (s @ (s @ (s @ (s @ one)))))))))),
% 0.17/0.44 inference(superposition,[],[f63,f135])).
% 0.17/0.44 thf(f135,plain,(
% 0.17/0.44 ($true = (d @ (s @ (f @ one @ (s @ (s @ (s @ (s @ one))))))))),
% 0.17/0.44 inference(boolean_simplification,[],[f133])).
% 0.17/0.44 thf(f133,plain,(
% 0.17/0.44 ($true = ($true => (d @ (s @ (f @ one @ (s @ (s @ (s @ (s @ one)))))))))),
% 0.17/0.44 inference(superposition,[],[f29,f110])).
% 0.17/0.44 thf(f110,plain,(
% 0.17/0.44 ($true = (d @ (f @ one @ (s @ (s @ (s @ (s @ one)))))))),
% 0.17/0.44 inference(forward_demodulation,[],[f109,f54])).
% 0.17/0.44 thf(f109,plain,(
% 0.17/0.44 ((d @ (s @ (s @ (f @ one @ (s @ (s @ (s @ one))))))) = $true)),
% 0.17/0.44 inference(boolean_simplification,[],[f107])).
% 0.17/0.44 thf(f107,plain,(
% 0.17/0.44 ($true = ($true => (d @ (s @ (s @ (f @ one @ (s @ (s @ (s @ one)))))))))),
% 0.17/0.44 inference(superposition,[],[f29,f102])).
% 0.17/0.44 thf(f102,plain,(
% 0.17/0.44 ($true = (d @ (s @ (f @ one @ (s @ (s @ (s @ one)))))))),
% 0.17/0.44 inference(boolean_simplification,[],[f101])).
% 0.17/0.44 thf(f101,plain,(
% 0.17/0.44 ($true = ($true => (d @ (s @ (f @ one @ (s @ (s @ (s @ one))))))))),
% 0.17/0.44 inference(superposition,[],[f29,f92])).
% 0.17/0.44 thf(f92,plain,(
% 0.17/0.44 ($true = (d @ (f @ one @ (s @ (s @ (s @ one))))))),
% 0.17/0.44 inference(forward_demodulation,[],[f90,f54])).
% 0.17/0.44 thf(f90,plain,(
% 0.17/0.44 ($true = (d @ (s @ (s @ (f @ one @ (s @ (s @ one)))))))),
% 0.17/0.44 inference(boolean_simplification,[],[f89])).
% 0.17/0.44 thf(f89,plain,(
% 0.17/0.44 ($true = ($true => (d @ (s @ (s @ (f @ one @ (s @ (s @ one))))))))),
% 0.17/0.44 inference(superposition,[],[f29,f73])).
% 0.17/0.44 thf(f73,plain,(
% 0.17/0.44 ((d @ (s @ (f @ one @ (s @ (s @ one))))) = $true)),
% 0.17/0.44 inference(backward_demodulation,[],[f69,f72])).
% 0.17/0.44 thf(f69,plain,(
% 0.17/0.44 ($true = (d @ (s @ (s @ (s @ (s @ (s @ (s @ one))))))))),
% 0.17/0.44 inference(boolean_simplification,[],[f67])).
% 0.17/0.44 thf(f67,plain,(
% 0.17/0.44 (($true => (d @ (s @ (s @ (s @ (s @ (s @ (s @ one)))))))) = $true)),
% 0.17/0.44 inference(superposition,[],[f29,f61])).
% 0.17/0.44 thf(f61,plain,(
% 0.17/0.44 ($true = (d @ (s @ (s @ (s @ (s @ (s @ one)))))))),
% 0.17/0.44 inference(boolean_simplification,[],[f59])).
% 0.17/0.44 thf(f59,plain,(
% 0.17/0.44 ($true = ($true => (d @ (s @ (s @ (s @ (s @ (s @ one))))))))),
% 0.17/0.44 inference(superposition,[],[f29,f52])).
% 0.17/0.44 thf(f52,plain,(
% 0.17/0.44 ($true = (d @ (s @ (s @ (s @ (s @ one))))))),
% 0.17/0.44 inference(boolean_simplification,[],[f51])).
% 0.17/0.44 thf(f51,plain,(
% 0.17/0.44 ($true = ($true => (d @ (s @ (s @ (s @ (s @ one)))))))),
% 0.17/0.44 inference(superposition,[],[f29,f44])).
% 0.17/0.44 thf(f44,plain,(
% 0.17/0.44 ($true = (d @ (s @ (s @ (s @ one)))))),
% 0.17/0.44 inference(boolean_simplification,[],[f42])).
% 0.17/0.44 thf(f42,plain,(
% 0.17/0.44 (($true => (d @ (s @ (s @ (s @ one))))) = $true)),
% 0.17/0.44 inference(superposition,[],[f29,f38])).
% 0.17/0.44 thf(f38,plain,(
% 0.17/0.44 ($true = (d @ (s @ (s @ one))))),
% 0.17/0.44 inference(boolean_simplification,[],[f36])).
% 0.17/0.44 thf(f36,plain,(
% 0.17/0.44 (($true => (d @ (s @ (s @ one)))) = $true)),
% 0.17/0.44 inference(superposition,[],[f29,f33])).
% 0.17/0.44 thf(f33,plain,(
% 0.17/0.44 ($true = (d @ (s @ one)))),
% 0.17/0.44 inference(boolean_simplification,[],[f31])).
% 0.17/0.44 thf(f31,plain,(
% 0.17/0.44 (($true => (d @ (s @ one))) = $true)),
% 0.17/0.44 inference(superposition,[],[f29,f22])).
% 0.17/0.44 thf(f22,plain,(
% 0.17/0.44 ((d @ one) = $true)),
% 0.17/0.44 inference(cnf_transformation,[],[f13])).
% 0.17/0.44 thf(f13,plain,(
% 0.17/0.44 ((d @ one) = $true)),
% 0.17/0.44 inference(fool_elimination,[],[f12])).
% 0.17/0.44 thf(f12,plain,(
% 0.17/0.44 (d @ one)),
% 0.17/0.44 inference(rectify,[],[f4])).
% 0.17/0.44 thf(f4,axiom,(
% 0.17/0.44 (d @ one)),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)).
% 0.17/0.44 thf(f29,plain,(
% 0.17/0.44 ( ! [X1 : $i] : (($true = ((d @ X1) => (d @ (s @ X1))))) )),
% 0.17/0.44 inference(beta_eta_normalization,[],[f28])).
% 0.17/0.44 thf(f28,plain,(
% 0.17/0.44 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((d @ Y0) => (d @ (s @ Y0)))) @ X1))) )),
% 0.17/0.44 inference(pi_clausification,[],[f19])).
% 0.17/0.44 thf(f19,plain,(
% 0.17/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((d @ Y0) => (d @ (s @ Y0))))))),
% 0.17/0.44 inference(cnf_transformation,[],[f17])).
% 0.17/0.44 thf(f17,plain,(
% 0.17/0.44 ($true = (!! @ $i @ (^[Y0 : $i]: ((d @ Y0) => (d @ (s @ Y0))))))),
% 0.17/0.44 inference(fool_elimination,[],[f16])).
% 0.17/0.44 thf(f16,plain,(
% 0.17/0.44 ! [X0] : ((d @ X0) => (d @ (s @ X0)))),
% 0.17/0.44 inference(rectify,[],[f5])).
% 0.17/0.44 thf(f5,axiom,(
% 0.17/0.44 ! [X1] : ((d @ X1) => (d @ (s @ X1)))),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)).
% 0.17/0.44 thf(f63,plain,(
% 0.17/0.44 ( ! [X0 : $i] : (($true = ((d @ (s @ (f @ one @ X0))) => (d @ (f @ one @ (s @ X0)))))) )),
% 0.17/0.44 inference(superposition,[],[f29,f54])).
% 0.17/0.44 % SZS output end Proof for theBenchmark
% 0.17/0.44 % (13456)------------------------------
% 0.17/0.44 % (13456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (13456)Termination reason: Refutation
% 0.17/0.44
% 0.17/0.44 % (13456)Memory used [KB]: 6140
% 0.17/0.44 % (13456)Time elapsed: 0.075 s
% 0.17/0.44 % (13456)Instructions burned: 142 (million)
% 0.17/0.44 % (13456)------------------------------
% 0.17/0.44 % (13456)------------------------------
% 0.17/0.44 % (13444)Success in time 0.092 s
% 0.17/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------