TSTP Solution File: SYO531^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO531^1 : TPTP v8.2.0. Released v5.2.0.
% 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 : n029.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 09:06:07 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO531^1 : TPTP v8.2.0. Released v5.2.0.
% 0.10/0.13 % 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
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 10:55:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.34 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % (8315)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.36 % (8318)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.36 % (8312)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.36 % (8313)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 (3000ds/4Mi)
% 0.13/0.36 % (8314)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 (3000ds/27Mi)
% 0.13/0.36 % (8315)Instruction limit reached!
% 0.13/0.36 % (8315)------------------------------
% 0.13/0.36 % (8315)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (8315)Termination reason: Unknown
% 0.13/0.36 % (8315)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (8315)Memory used [KB]: 5373
% 0.13/0.36 % (8315)Time elapsed: 0.003 s
% 0.13/0.36 % (8315)Instructions burned: 2 (million)
% 0.13/0.36 % (8315)------------------------------
% 0.13/0.36 % (8315)------------------------------
% 0.13/0.36 % (8316)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 (3000ds/2Mi)
% 0.13/0.36 % (8316)Instruction limit reached!
% 0.13/0.36 % (8316)------------------------------
% 0.13/0.36 % (8316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (8316)Termination reason: Unknown
% 0.13/0.36 % (8316)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (8316)Memory used [KB]: 895
% 0.13/0.36 % (8316)Time elapsed: 0.003 s
% 0.13/0.36 % (8316)Instructions burned: 2 (million)
% 0.13/0.36 % (8316)------------------------------
% 0.13/0.36 % (8316)------------------------------
% 0.13/0.37 % (8313)Instruction limit reached!
% 0.13/0.37 % (8313)------------------------------
% 0.13/0.37 % (8313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (8313)Termination reason: Unknown
% 0.13/0.37 % (8313)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (8313)Memory used [KB]: 5500
% 0.13/0.37 % (8313)Time elapsed: 0.005 s
% 0.13/0.37 % (8313)Instructions burned: 4 (million)
% 0.13/0.37 % (8313)------------------------------
% 0.13/0.37 % (8313)------------------------------
% 0.13/0.37 % (8319)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.13/0.37 % (8319)Instruction limit reached!
% 0.13/0.37 % (8319)------------------------------
% 0.13/0.37 % (8319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (8319)Termination reason: Unknown
% 0.13/0.37 % (8319)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (8319)Memory used [KB]: 5500
% 0.13/0.37 % (8319)Time elapsed: 0.004 s
% 0.13/0.37 % (8319)Instructions burned: 4 (million)
% 0.13/0.37 % (8319)------------------------------
% 0.13/0.37 % (8319)------------------------------
% 0.13/0.37 % (8318)Instruction limit reached!
% 0.13/0.37 % (8318)------------------------------
% 0.13/0.37 % (8318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (8318)Termination reason: Unknown
% 0.13/0.37 % (8318)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (8318)Memory used [KB]: 5628
% 0.13/0.37 % (8318)Time elapsed: 0.013 s
% 0.13/0.37 % (8318)Instructions burned: 19 (million)
% 0.13/0.37 % (8318)------------------------------
% 0.13/0.37 % (8318)------------------------------
% 0.13/0.37 % (8317)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 (3000ds/275Mi)
% 0.13/0.38 % (8317)Refutation not found, incomplete strategy
% 0.13/0.38 % (8317)------------------------------
% 0.13/0.38 % (8317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (8317)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (8317)Memory used [KB]: 5500
% 0.13/0.38 % (8317)Time elapsed: 0.003 s
% 0.13/0.38 % (8317)Instructions burned: 2 (million)
% 0.13/0.38 % (8317)------------------------------
% 0.13/0.38 % (8317)------------------------------
% 0.13/0.38 % (8320)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)
% 0.13/0.38 % (8321)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)
% 0.13/0.38 % (8314)Instruction limit reached!
% 0.13/0.38 % (8314)------------------------------
% 0.13/0.38 % (8314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (8314)Termination reason: Unknown
% 0.13/0.38 % (8314)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (8314)Memory used [KB]: 5628
% 0.13/0.38 % (8314)Time elapsed: 0.019 s
% 0.13/0.38 % (8314)Instructions burned: 27 (million)
% 0.13/0.38 % (8314)------------------------------
% 0.13/0.38 % (8314)------------------------------
% 0.13/0.38 % (8322)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)
% 0.13/0.38 % (8321)Refutation not found, incomplete strategy
% 0.13/0.38 % (8321)------------------------------
% 0.13/0.38 % (8321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (8321)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (8321)Memory used [KB]: 5500
% 0.13/0.38 % (8321)Time elapsed: 0.005 s
% 0.13/0.38 % (8321)Instructions burned: 4 (million)
% 0.13/0.38 % (8321)------------------------------
% 0.13/0.38 % (8321)------------------------------
% 0.13/0.38 % (8322)Instruction limit reached!
% 0.13/0.38 % (8322)------------------------------
% 0.13/0.38 % (8322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (8322)Termination reason: Unknown
% 0.13/0.38 % (8322)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (8322)Memory used [KB]: 5500
% 0.13/0.38 % (8322)Time elapsed: 0.004 s
% 0.13/0.38 % (8322)Instructions burned: 3 (million)
% 0.13/0.38 % (8322)------------------------------
% 0.13/0.38 % (8322)------------------------------
% 0.13/0.38 % (8323)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)
% 0.13/0.39 % (8324)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.39 % (8325)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.39 % (8320)Instruction limit reached!
% 0.13/0.39 % (8320)------------------------------
% 0.13/0.39 % (8320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (8320)Termination reason: Unknown
% 0.13/0.39 % (8320)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (8320)Memory used [KB]: 5884
% 0.13/0.39 % (8320)Time elapsed: 0.019 s
% 0.13/0.39 % (8320)Instructions burned: 38 (million)
% 0.13/0.39 % (8320)------------------------------
% 0.13/0.39 % (8320)------------------------------
% 0.13/0.39 % (8324)Instruction limit reached!
% 0.13/0.39 % (8324)------------------------------
% 0.13/0.39 % (8324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (8324)Termination reason: Unknown
% 0.13/0.39 % (8324)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (8324)Memory used [KB]: 1023
% 0.13/0.39 % (8324)Time elapsed: 0.006 s
% 0.13/0.39 % (8324)Instructions burned: 8 (million)
% 0.13/0.39 % (8324)------------------------------
% 0.13/0.39 % (8324)------------------------------
% 0.13/0.40 % (8326)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)
% 0.13/0.40 % (8327)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)
% 0.13/0.40 % (8328)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)
% 0.13/0.40 % (8326)Instruction limit reached!
% 0.13/0.40 % (8326)------------------------------
% 0.13/0.40 % (8326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (8326)Termination reason: Unknown
% 0.13/0.40 % (8326)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (8326)Memory used [KB]: 5500
% 0.13/0.40 % (8326)Time elapsed: 0.005 s
% 0.13/0.40 % (8326)Instructions burned: 4 (million)
% 0.13/0.40 % (8326)------------------------------
% 0.13/0.40 % (8326)------------------------------
% 0.13/0.40 % (8323)Refutation not found, incomplete strategy
% 0.13/0.40 % (8323)------------------------------
% 0.13/0.40 % (8323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (8323)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 % (8323)Memory used [KB]: 5628
% 0.13/0.40 % (8323)Time elapsed: 0.016 s
% 0.13/0.40 % (8323)Instructions burned: 28 (million)
% 0.13/0.40 % (8323)------------------------------
% 0.13/0.40 % (8323)------------------------------
% 0.13/0.40 % (8327)Instruction limit reached!
% 0.13/0.40 % (8327)------------------------------
% 0.13/0.40 % (8327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (8327)Termination reason: Unknown
% 0.13/0.40 % (8327)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (8327)Memory used [KB]: 5500
% 0.13/0.40 % (8327)Time elapsed: 0.004 s
% 0.13/0.40 % (8327)Instructions burned: 4 (million)
% 0.13/0.40 % (8327)------------------------------
% 0.13/0.40 % (8327)------------------------------
% 0.20/0.40 % (8325)Instruction limit reached!
% 0.20/0.40 % (8325)------------------------------
% 0.20/0.40 % (8325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (8325)Termination reason: Unknown
% 0.20/0.40 % (8325)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (8325)Memory used [KB]: 5628
% 0.20/0.40 % (8325)Time elapsed: 0.013 s
% 0.20/0.40 % (8325)Instructions burned: 16 (million)
% 0.20/0.40 % (8325)------------------------------
% 0.20/0.40 % (8325)------------------------------
% 0.20/0.40 % (8328)Refutation not found, incomplete strategy
% 0.20/0.40 % (8328)------------------------------
% 0.20/0.40 % (8328)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (8328)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 % (8328)Memory used [KB]: 5500
% 0.20/0.40 % (8328)Time elapsed: 0.006 s
% 0.20/0.40 % (8328)Instructions burned: 6 (million)
% 0.20/0.40 % (8328)------------------------------
% 0.20/0.40 % (8328)------------------------------
% 0.20/0.41 % (8330)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.41 % (8329)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)
% 0.20/0.41 % (8330)Instruction limit reached!
% 0.20/0.41 % (8330)------------------------------
% 0.20/0.41 % (8330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (8330)Termination reason: Unknown
% 0.20/0.41 % (8330)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (8330)Memory used [KB]: 5500
% 0.20/0.41 % (8330)Time elapsed: 0.004 s
% 0.20/0.41 % (8330)Instructions burned: 4 (million)
% 0.20/0.41 % (8330)------------------------------
% 0.20/0.41 % (8330)------------------------------
% 0.20/0.41 % (8329)Instruction limit reached!
% 0.20/0.41 % (8329)------------------------------
% 0.20/0.41 % (8329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (8329)Termination reason: Unknown
% 0.20/0.41 % (8329)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (8329)Memory used [KB]: 5500
% 0.20/0.41 % (8329)Time elapsed: 0.003 s
% 0.20/0.41 % (8329)Instructions burned: 3 (million)
% 0.20/0.41 % (8329)------------------------------
% 0.20/0.41 % (8329)------------------------------
% 0.20/0.41 % (8331)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)
% 0.20/0.41 % (8333)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.41 % (8332)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.42 % (8331)First to succeed.
% 0.20/0.42 % (8334)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)
% 0.20/0.42 % (8335)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)
% 0.20/0.42 % (8334)Refutation not found, incomplete strategy
% 0.20/0.42 % (8334)------------------------------
% 0.20/0.42 % (8334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (8333)Instruction limit reached!
% 0.20/0.42 % (8333)------------------------------
% 0.20/0.42 % (8333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (8333)Termination reason: Unknown
% 0.20/0.42 % (8333)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (8333)Memory used [KB]: 5500
% 0.20/0.42 % (8333)Time elapsed: 0.006 s
% 0.20/0.42 % (8333)Instructions burned: 6 (million)
% 0.20/0.42 % (8333)------------------------------
% 0.20/0.42 % (8333)------------------------------
% 0.20/0.42 % (8334)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42 % (8331)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% 0.20/0.42 thf(func_def_0, type, eps: ($i > $o) > $i).
% 0.20/0.42 thf(func_def_2, type, epsa: ($i > $i > $o) > $i).
% 0.20/0.42 thf(func_def_10, type, sK0: (($i > $i > $o) > $i) > $i > $i > $o).
% 0.20/0.42 thf(func_def_11, type, sK1: (($i > $i > $o) > $i) > $i).
% 0.20/0.42 thf(func_def_12, type, sK2: (($i > $i > $o) > $i) > $i).
% 0.20/0.42 thf(func_def_14, type, ph4: !>[X0: $tType]:(X0)).
% 0.20/0.42 thf(func_def_15, type, sK5: ($i > $i > $o) > $i).
% 0.20/0.42 thf(f40,plain,(
% 0.20/0.42 $false),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f31])).
% 0.20/0.42 thf(f31,plain,(
% 0.20/0.42 ($false = $true)),
% 0.20/0.42 inference(superposition,[],[f30,f17])).
% 0.20/0.42 thf(f17,plain,(
% 0.20/0.42 ( ! [X0 : ($i > $i > $o) > $i] : (((sK0 @ X0 @ (sK1 @ X0) @ (sK2 @ X0)) = $true)) )),
% 0.20/0.42 inference(cnf_transformation,[],[f16])).
% 0.20/0.42 thf(f16,plain,(
% 0.20/0.42 ! [X0 : ($i > $i > $o) > $i] : (((sK0 @ X0 @ (epsa @ (sK0 @ X0)) @ (X0 @ (sK0 @ X0))) != $true) & ((sK0 @ X0 @ (sK1 @ X0) @ (sK2 @ X0)) = $true))),
% 0.20/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f13,f15,f14])).
% 0.20/0.42 thf(f14,plain,(
% 0.20/0.42 ! [X0 : ($i > $i > $o) > $i] : (? [X1 : $i > $i > $o] : (($true != (X1 @ (epsa @ X1) @ (X0 @ X1))) & ? [X2,X3] : ((X1 @ X2 @ X3) = $true)) => (((sK0 @ X0 @ (epsa @ (sK0 @ X0)) @ (X0 @ (sK0 @ X0))) != $true) & ? [X3,X2] : ((sK0 @ X0 @ X2 @ X3) = $true)))),
% 0.20/0.42 introduced(choice_axiom,[])).
% 0.20/0.42 thf(f15,plain,(
% 0.20/0.42 ! [X0 : ($i > $i > $o) > $i] : (? [X3,X2] : ((sK0 @ X0 @ X2 @ X3) = $true) => ((sK0 @ X0 @ (sK1 @ X0) @ (sK2 @ X0)) = $true))),
% 0.20/0.42 introduced(choice_axiom,[])).
% 0.20/0.42 thf(f13,plain,(
% 0.20/0.42 ! [X0 : ($i > $i > $o) > $i] : ? [X1 : $i > $i > $o] : (($true != (X1 @ (epsa @ X1) @ (X0 @ X1))) & ? [X2,X3] : ((X1 @ X2 @ X3) = $true))),
% 0.20/0.42 inference(ennf_transformation,[],[f7])).
% 0.20/0.42 thf(f7,plain,(
% 0.20/0.42 ~? [X0 : ($i > $i > $o) > $i] : ! [X1 : $i > $i > $o] : (? [X2,X3] : ((X1 @ X2 @ X3) = $true) => ($true = (X1 @ (epsa @ X1) @ (X0 @ X1))))),
% 0.20/0.42 inference(fool_elimination,[],[f6])).
% 0.20/0.42 thf(f6,plain,(
% 0.20/0.42 ~? [X0 : ($i > $i > $o) > $i] : ! [X1 : $i > $i > $o] : (? [X2,X3] : (X1 @ X2 @ X3) => (X1 @ (epsa @ X1) @ (X0 @ X1)))),
% 0.20/0.42 inference(rectify,[],[f4])).
% 0.20/0.42 thf(f4,negated_conjecture,(
% 0.20/0.42 ~? [X4 : ($i > $i > $o) > $i] : ! [X2 : $i > $i > $o] : (? [X1,X3] : (X2 @ X1 @ X3) => (X2 @ (epsa @ X2) @ (X4 @ X2)))),
% 0.20/0.42 inference(negated_conjecture,[],[f3])).
% 0.20/0.42 thf(f3,conjecture,(
% 0.20/0.42 ? [X4 : ($i > $i > $o) > $i] : ! [X2 : $i > $i > $o] : (? [X1,X3] : (X2 @ X1 @ X3) => (X2 @ (epsa @ X2) @ (X4 @ X2)))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.20/0.42 thf(f30,plain,(
% 0.20/0.42 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ sK5 @ X0 @ X1))) )),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f28])).
% 0.20/0.42 thf(f28,plain,(
% 0.20/0.42 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($false = (sK0 @ sK5 @ X0 @ X1))) )),
% 0.20/0.42 inference(superposition,[],[f18,f27])).
% 0.20/0.42 thf(f27,plain,(
% 0.20/0.42 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i] : (((X0 @ (epsa @ X0) @ (sK5 @ X0)) = $true) | ((X0 @ X1 @ X2) = $false)) )),
% 0.20/0.42 inference(sigma_clausification,[],[f26])).
% 0.20/0.42 thf(f26,plain,(
% 0.20/0.42 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i] : (($true = (?? @ $i @ (X0 @ (epsa @ X0)))) | ((X0 @ X1 @ X2) = $false)) )),
% 0.20/0.42 inference(pi_clausification,[],[f25])).
% 0.20/0.42 thf(f25,plain,(
% 0.20/0.42 ( ! [X0 : $i > $i > $o,X1 : $i] : (((?? @ $i @ (X0 @ X1)) != $true) | ($true = (?? @ $i @ (X0 @ (epsa @ X0))))) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f24])).
% 0.20/0.42 thf(f24,plain,(
% 0.20/0.42 ( ! [X0 : $i > $i > $o,X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (X0 @ Y0))) @ X1) != $true) | (((^[Y0 : $i]: (?? @ $i @ (X0 @ Y0))) @ (epsa @ X0)) = $true)) )),
% 0.20/0.42 inference(superposition,[],[f20,f23])).
% 0.20/0.42 thf(f23,plain,(
% 0.20/0.42 ( ! [X1 : $i > $i > $o] : (((epsa @ X1) = (eps @ (^[Y0 : $i]: (?? @ $i @ (X1 @ Y0)))))) )),
% 0.20/0.42 inference(beta_eta_normalization,[],[f22])).
% 0.20/0.42 thf(f22,plain,(
% 0.20/0.42 ( ! [X1 : $i > $i > $o] : (((epsa @ X1) = ((^[Y0 : $i > $i > $o]: (eps @ (^[Y1 : $i]: (?? @ $i @ (Y0 @ Y1))))) @ X1))) )),
% 0.20/0.42 inference(argument_congruence,[],[f21])).
% 0.20/0.42 thf(f21,plain,(
% 0.20/0.42 (epsa = (^[Y0 : $i > $i > $o]: (eps @ (^[Y1 : $i]: (?? @ $i @ (Y0 @ Y1))))))),
% 0.20/0.42 inference(beta_eta_normalization,[],[f19])).
% 0.20/0.42 thf(f19,plain,(
% 0.20/0.42 (epsa = (^[Y0 : $i > $i > $o]: (eps @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.20/0.42 inference(cnf_transformation,[],[f9])).
% 0.20/0.42 thf(f9,plain,(
% 0.20/0.42 (epsa = (^[Y0 : $i > $i > $o]: (eps @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.20/0.42 inference(fool_elimination,[],[f8])).
% 0.20/0.42 thf(f8,plain,(
% 0.20/0.42 (epsa = (^[X0 : $i > $i > $o] : (eps @ (^[X1 : $i] : (? [X2] : (X0 @ X1 @ X2))))))),
% 0.20/0.42 inference(rectify,[],[f2])).
% 0.20/0.42 thf(f2,axiom,(
% 0.20/0.42 (epsa = (^[X2 : $i > $i > $o] : (eps @ (^[X1 : $i] : (? [X3] : (X2 @ X1 @ X3))))))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',epsad)).
% 0.20/0.42 thf(f20,plain,(
% 0.20/0.42 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ (eps @ X0)) = $true) | ((X0 @ X1) != $true)) )),
% 0.20/0.42 inference(cnf_transformation,[],[f12])).
% 0.20/0.42 thf(f12,plain,(
% 0.20/0.42 ! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) != $true) | ((X0 @ (eps @ X0)) = $true))),
% 0.20/0.42 inference(ennf_transformation,[],[f11])).
% 0.20/0.42 thf(f11,plain,(
% 0.20/0.42 ! [X0 : $i > $o] : (? [X1] : ((X0 @ X1) = $true) => ((X0 @ (eps @ X0)) = $true))),
% 0.20/0.42 inference(fool_elimination,[],[f10])).
% 0.20/0.42 thf(f10,plain,(
% 0.20/0.42 ! [X0 : $i > $o] : (? [X1] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 0.20/0.42 inference(rectify,[],[f1])).
% 0.20/0.42 thf(f1,axiom,(
% 0.20/0.42 ! [X0 : $i > $o] : (? [X1] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceax)).
% 0.20/0.42 thf(f18,plain,(
% 0.20/0.42 ( ! [X0 : ($i > $i > $o) > $i] : (((sK0 @ X0 @ (epsa @ (sK0 @ X0)) @ (X0 @ (sK0 @ X0))) != $true)) )),
% 0.20/0.42 inference(cnf_transformation,[],[f16])).
% 0.20/0.42 % SZS output end Proof for theBenchmark
% 0.20/0.42 % (8331)------------------------------
% 0.20/0.42 % (8331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (8331)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (8331)Memory used [KB]: 5500
% 0.20/0.42 % (8331)Time elapsed: 0.006 s
% 0.20/0.42 % (8331)Instructions burned: 4 (million)
% 0.20/0.42 % (8331)------------------------------
% 0.20/0.42 % (8331)------------------------------
% 0.20/0.42 % (8311)Success in time 0.058 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------