TSTP Solution File: SEV433^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV433^1 : TPTP v8.1.2. 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 : 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 : Sun May 5 09:43:09 EDT 2024
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV433^1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.36 % WCLimit : 300
% 0.20/0.36 % DateTime : Fri May 3 12:23:33 EDT 2024
% 0.20/0.36 % CPUTime :
% 0.20/0.36 This is a TH0_THM_EQU_NAR problem
% 0.20/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.oqMlHs8ICL/Vampire---4.8_30540
% 0.20/0.38 % (30805)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 Vampire---4 for (3000ds/4Mi)
% 0.20/0.38 % (30804)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.20/0.38 % (30806)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 Vampire---4 for (3000ds/27Mi)
% 0.20/0.38 % (30807)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.20/0.38 % (30808)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.20/0.38 % (30809)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.20/0.38 % (30810)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.20/0.38 % (30811)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.20/0.38 % (30809)Refutation not found, incomplete strategy
% 0.20/0.38 % (30809)------------------------------
% 0.20/0.38 % (30809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (30809)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 % (30809)Memory used [KB]: 5373
% 0.20/0.38 % (30809)Time elapsed: 0.003 s
% 0.20/0.38 % (30809)Instructions burned: 1 (million)
% 0.20/0.38 % (30809)------------------------------
% 0.20/0.38 % (30809)------------------------------
% 0.20/0.38 % (30807)Instruction limit reached!
% 0.20/0.38 % (30807)------------------------------
% 0.20/0.38 % (30807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (30807)Termination reason: Unknown
% 0.20/0.38 % (30807)Termination phase: Saturation
% 0.20/0.38 % (30808)Instruction limit reached!
% 0.20/0.38 % (30808)------------------------------
% 0.20/0.38 % (30808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (30808)Termination reason: Unknown
% 0.20/0.38 % (30808)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (30808)Memory used [KB]: 5500
% 0.20/0.38 % (30808)Time elapsed: 0.004 s
% 0.20/0.38 % (30808)Instructions burned: 2 (million)
% 0.20/0.38 % (30808)------------------------------
% 0.20/0.38 % (30808)------------------------------
% 0.20/0.38
% 0.20/0.38 % (30807)Memory used [KB]: 5500
% 0.20/0.38 % (30807)Time elapsed: 0.004 s
% 0.20/0.38 % (30807)Instructions burned: 2 (million)
% 0.20/0.38 % (30807)------------------------------
% 0.20/0.38 % (30807)------------------------------
% 0.20/0.38 % (30811)Refutation not found, incomplete strategy
% 0.20/0.38 % (30811)------------------------------
% 0.20/0.38 % (30811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (30811)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 % (30811)Memory used [KB]: 5500
% 0.20/0.38 % (30811)Time elapsed: 0.004 s
% 0.20/0.38 % (30811)Instructions burned: 1 (million)
% 0.20/0.38 % (30811)------------------------------
% 0.20/0.38 % (30811)------------------------------
% 0.20/0.38 % (30805)Instruction limit reached!
% 0.20/0.38 % (30805)------------------------------
% 0.20/0.38 % (30805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (30805)Termination reason: Unknown
% 0.20/0.38 % (30805)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (30805)Memory used [KB]: 5500
% 0.20/0.38 % (30805)Time elapsed: 0.006 s
% 0.20/0.38 % (30805)Instructions burned: 5 (million)
% 0.20/0.38 % (30805)------------------------------
% 0.20/0.38 % (30805)------------------------------
% 0.20/0.39 % (30810)Instruction limit reached!
% 0.20/0.39 % (30810)------------------------------
% 0.20/0.39 % (30810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (30810)Termination reason: Unknown
% 0.20/0.39 % (30810)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (30810)Memory used [KB]: 5500
% 0.20/0.39 % (30810)Time elapsed: 0.014 s
% 0.20/0.39 % (30810)Instructions burned: 18 (million)
% 0.20/0.39 % (30810)------------------------------
% 0.20/0.39 % (30810)------------------------------
% 0.20/0.39 % (30812)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 Vampire---4 for (2999ds/37Mi)
% 0.20/0.39 % (30813)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 Vampire---4 for (2999ds/15Mi)
% 0.20/0.39 % (30814)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.20/0.39 % (30815)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 Vampire---4 for (2999ds/1041Mi)
% 0.20/0.40 % (30813)Refutation not found, incomplete strategy
% 0.20/0.40 % (30813)------------------------------
% 0.20/0.40 % (30813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (30813)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 % (30813)Memory used [KB]: 5500
% 0.20/0.40 % (30813)Time elapsed: 0.003 s
% 0.20/0.40 % (30813)Instructions burned: 1 (million)
% 0.20/0.40 % (30813)------------------------------
% 0.20/0.40 % (30813)------------------------------
% 0.20/0.40 % (30816)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.20/0.40 % (30806)Instruction limit reached!
% 0.20/0.40 % (30806)------------------------------
% 0.20/0.40 % (30806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (30806)Termination reason: Unknown
% 0.20/0.40 % (30806)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (30806)Memory used [KB]: 5500
% 0.20/0.40 % (30806)Time elapsed: 0.021 s
% 0.20/0.40 % (30806)Instructions burned: 28 (million)
% 0.20/0.40 % (30806)------------------------------
% 0.20/0.40 % (30806)------------------------------
% 0.20/0.40 % (30814)Instruction limit reached!
% 0.20/0.40 % (30814)------------------------------
% 0.20/0.40 % (30814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (30814)Termination reason: Unknown
% 0.20/0.40 % (30814)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (30814)Memory used [KB]: 5500
% 0.20/0.40 % (30814)Time elapsed: 0.026 s
% 0.20/0.40 % (30814)Instructions burned: 4 (million)
% 0.20/0.40 % (30814)------------------------------
% 0.20/0.40 % (30814)------------------------------
% 0.20/0.40 % (30816)Instruction limit reached!
% 0.20/0.40 % (30816)------------------------------
% 0.20/0.40 % (30816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (30816)Termination reason: Unknown
% 0.20/0.40 % (30816)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (30816)Memory used [KB]: 1023
% 0.20/0.40 % (30816)Time elapsed: 0.007 s
% 0.20/0.40 % (30816)Instructions burned: 7 (million)
% 0.20/0.40 % (30816)------------------------------
% 0.20/0.40 % (30816)------------------------------
% 0.20/0.40 % (30817)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.20/0.41 % (30819)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 Vampire---4 for (2999ds/3Mi)
% 0.20/0.41 % (30820)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.20/0.41 % (30819)Instruction limit reached!
% 0.20/0.41 % (30819)------------------------------
% 0.20/0.41 % (30819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (30819)Termination reason: Unknown
% 0.20/0.41 % (30819)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (30819)Memory used [KB]: 5500
% 0.20/0.41 % (30819)Time elapsed: 0.004 s
% 0.20/0.41 % (30819)Instructions burned: 3 (million)
% 0.20/0.41 % (30819)------------------------------
% 0.20/0.41 % (30819)------------------------------
% 0.20/0.41 % (30820)Refutation not found, incomplete strategy
% 0.20/0.41 % (30820)------------------------------
% 0.20/0.41 % (30820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (30820)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 % (30820)Memory used [KB]: 5373
% 0.20/0.41 % (30820)Time elapsed: 0.003 s
% 0.20/0.41 % (30820)Instructions burned: 1 (million)
% 0.20/0.41 % (30820)------------------------------
% 0.20/0.41 % (30820)------------------------------
% 0.20/0.41 % (30818)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 Vampire---4 for (2999ds/3Mi)
% 0.20/0.41 % (30818)Refutation not found, incomplete strategy
% 0.20/0.41 % (30818)------------------------------
% 0.20/0.41 % (30818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (30818)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 % (30818)Memory used [KB]: 5500
% 0.20/0.41 % (30818)Time elapsed: 0.028 s
% 0.20/0.41 % (30818)Instructions burned: 1 (million)
% 0.20/0.41 % (30818)------------------------------
% 0.20/0.41 % (30818)------------------------------
% 0.20/0.42 % (30817)Instruction limit reached!
% 0.20/0.42 % (30817)------------------------------
% 0.20/0.42 % (30817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (30817)Termination reason: Unknown
% 0.20/0.42 % (30817)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (30817)Memory used [KB]: 5500
% 0.20/0.42 % (30817)Time elapsed: 0.034 s
% 0.20/0.42 % (30817)Instructions burned: 16 (million)
% 0.20/0.42 % (30817)------------------------------
% 0.20/0.42 % (30817)------------------------------
% 0.20/0.42 % (30821)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.20/0.42 % (30821)Instruction limit reached!
% 0.20/0.42 % (30821)------------------------------
% 0.20/0.42 % (30821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (30821)Termination reason: Unknown
% 0.20/0.42 % (30821)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (30821)Memory used [KB]: 5500
% 0.20/0.42 % (30821)Time elapsed: 0.026 s
% 0.20/0.42 % (30821)Instructions burned: 3 (million)
% 0.20/0.42 % (30821)------------------------------
% 0.20/0.42 % (30821)------------------------------
% 0.20/0.42 % (30812)Instruction limit reached!
% 0.20/0.42 % (30812)------------------------------
% 0.20/0.42 % (30812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (30812)Termination reason: Unknown
% 0.20/0.42 % (30812)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (30812)Memory used [KB]: 5628
% 0.20/0.42 % (30812)Time elapsed: 0.048 s
% 0.20/0.42 % (30812)Instructions burned: 37 (million)
% 0.20/0.42 % (30812)------------------------------
% 0.20/0.42 % (30812)------------------------------
% 0.20/0.43 % (30822)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.20/0.43 % (30823)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.20/0.43 % (30824)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.20/0.43 % (30825)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.20/0.43 % (30822)Instruction limit reached!
% 0.20/0.43 % (30822)------------------------------
% 0.20/0.43 % (30822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (30822)Termination reason: Unknown
% 0.20/0.43 % (30822)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (30822)Memory used [KB]: 5500
% 0.20/0.43 % (30822)Time elapsed: 0.026 s
% 0.20/0.43 % (30822)Instructions burned: 4 (million)
% 0.20/0.43 % (30822)------------------------------
% 0.20/0.43 % (30822)------------------------------
% 0.20/0.43 % (30826)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 Vampire---4 for (2999ds/902Mi)
% 0.20/0.43 % (30826)Refutation not found, incomplete strategy
% 0.20/0.43 % (30826)------------------------------
% 0.20/0.43 % (30826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (30826)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % (30826)Memory used [KB]: 5373
% 0.20/0.43 % (30826)Time elapsed: 0.003 s
% 0.20/0.43 % (30826)Instructions burned: 1 (million)
% 0.20/0.43 % (30826)------------------------------
% 0.20/0.43 % (30826)------------------------------
% 0.20/0.43 % (30827)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 Vampire---4 for (2999ds/21Mi)
% 0.22/0.43 % (30825)Instruction limit reached!
% 0.22/0.43 % (30825)------------------------------
% 0.22/0.43 % (30825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (30825)Termination reason: Unknown
% 0.22/0.43 % (30825)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.44 % (30825)Memory used [KB]: 5500
% 0.22/0.44 % (30825)Time elapsed: 0.007 s
% 0.22/0.44 % (30825)Instructions burned: 7 (million)
% 0.22/0.44 % (30825)------------------------------
% 0.22/0.44 % (30825)------------------------------
% 0.22/0.44 % (30815)First to succeed.
% 0.22/0.44 % (30815)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% 0.22/0.44 thf(func_def_0, type, f: $i > $o).
% 0.22/0.44 thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 0.22/0.44 thf(f545,plain,(
% 0.22/0.44 $false),
% 0.22/0.44 inference(avatar_sat_refutation,[],[f56,f63,f69,f384,f542])).
% 0.22/0.44 thf(f542,plain,(
% 0.22/0.44 ~spl0_4),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f541])).
% 0.22/0.44 thf(f541,plain,(
% 0.22/0.44 $false | ~spl0_4),
% 0.22/0.44 inference(subsumption_resolution,[],[f531,f39])).
% 0.22/0.44 thf(f39,plain,(
% 0.22/0.44 (sK3 != sK2)),
% 0.22/0.44 inference(equality_proxy_clausification,[],[f29])).
% 0.22/0.44 thf(f29,plain,(
% 0.22/0.44 ($false = (sK3 = sK2))),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f28])).
% 0.22/0.44 thf(f28,plain,(
% 0.22/0.44 ($false = ((sK4 = sK3) | (sK3 = sK2)))),
% 0.22/0.44 inference(boolean_simplification,[],[f27])).
% 0.22/0.44 thf(f27,plain,(
% 0.22/0.44 ($false = (((sK4 = sK3) | (sK3 = sK2)) | $false))),
% 0.22/0.44 inference(backward_demodulation,[],[f24,f25])).
% 0.22/0.44 thf(f25,plain,(
% 0.22/0.44 ($false = (sK4 = sK2))),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f24])).
% 0.22/0.44 thf(f24,plain,(
% 0.22/0.44 ($false = (((sK4 = sK3) | (sK3 = sK2)) | (sK4 = sK2)))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f23])).
% 0.22/0.44 thf(f23,plain,(
% 0.22/0.44 ($false = ((^[Y0 : $i]: (((Y0 = sK3) | (sK3 = sK2)) | (Y0 = sK2))) @ sK4))),
% 0.22/0.44 inference(sigma_clausification,[],[f22])).
% 0.22/0.44 thf(f22,plain,(
% 0.22/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: (((Y0 = sK3) | (sK3 = sK2)) | (Y0 = sK2)))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f21])).
% 0.22/0.44 thf(f21,plain,(
% 0.22/0.44 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((Y1 = Y0) | (Y0 = sK2)) | (Y1 = sK2))))) @ sK3))),
% 0.22/0.44 inference(sigma_clausification,[],[f20])).
% 0.22/0.44 thf(f20,plain,(
% 0.22/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((Y1 = Y0) | (Y0 = sK2)) | (Y1 = sK2)))))))),
% 0.22/0.44 inference(beta_eta_normalization,[],[f19])).
% 0.22/0.44 thf(f19,plain,(
% 0.22/0.44 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y1 = Y0)) | (Y2 = Y0))))))) @ sK2))),
% 0.22/0.44 inference(sigma_clausification,[],[f16])).
% 0.22/0.44 thf(f16,plain,(
% 0.22/0.44 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y1 = Y0)) | (Y2 = Y0)))))))))),
% 0.22/0.44 inference(not_proxy_clausification,[],[f9])).
% 0.22/0.44 thf(f9,plain,(
% 0.22/0.44 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y1 = Y0)) | (Y2 = Y0))))))))))),
% 0.22/0.44 inference(cnf_transformation,[],[f8])).
% 0.22/0.44 thf(f8,plain,(
% 0.22/0.44 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y2 = Y1) | (Y1 = Y0)) | (Y2 = Y0))))))))))),
% 0.22/0.44 inference(fool_elimination,[],[f7])).
% 0.22/0.44 thf(f7,plain,(
% 0.22/0.44 ~! [X0,X1,X2] : ((X0 = X2) | (X1 = X2) | (X0 = X1))),
% 0.22/0.44 inference(rectify,[],[f3])).
% 0.22/0.44 thf(f3,negated_conjecture,(
% 0.22/0.44 ~! [X1,X0,X2] : ((X1 = X2) | (X0 = X2) | (X0 = X1))),
% 0.22/0.44 inference(negated_conjecture,[],[f2])).
% 0.22/0.44 thf(f2,conjecture,(
% 0.22/0.44 ! [X1,X0,X2] : ((X1 = X2) | (X0 = X2) | (X0 = X1))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.oqMlHs8ICL/Vampire---4.8_30540',less3)).
% 0.22/0.44 thf(f531,plain,(
% 0.22/0.44 (sK3 = sK2) | ~spl0_4),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f530])).
% 0.22/0.44 thf(f530,plain,(
% 0.22/0.44 ($false = $true) | (sK3 = sK2) | ~spl0_4),
% 0.22/0.44 inference(boolean_simplification,[],[f525])).
% 0.22/0.44 thf(f525,plain,(
% 0.22/0.44 ($false = ($false = $false)) | (sK3 = sK2) | ~spl0_4),
% 0.22/0.44 inference(superposition,[],[f432,f399])).
% 0.22/0.44 thf(f399,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (((f @ X0) = $false) | (sK3 = X0)) ) | ~spl0_4),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f397])).
% 0.22/0.44 thf(f397,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (($false != $false) | (sK3 = X0) | ((f @ X0) = $false)) ) | ~spl0_4),
% 0.22/0.44 inference(superposition,[],[f394,f265])).
% 0.22/0.44 thf(f265,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($false = (f @ X2)) | (X1 = X2) | ((f @ X1) = $false)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f233])).
% 0.22/0.44 thf(f233,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (((f @ X1) != (f @ X2)) | (X1 = X2)) )),
% 0.22/0.44 inference(equality_proxy_clausification,[],[f226])).
% 0.22/0.44 thf(f226,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (X2 = X1)) | ((f @ X1) != (f @ X2))) )),
% 0.22/0.44 inference(equality_proxy_clausification,[],[f15])).
% 0.22/0.44 thf(f15,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($false = ((f @ X2) = (f @ X1))) | ($true = (X2 = X1))) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f14])).
% 0.22/0.44 thf(f14,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = (((f @ X2) = (f @ X1)) => (X2 = X1)))) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f13])).
% 0.22/0.44 thf(f13,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((f @ Y0) = (f @ X1)) => (Y0 = X1))) @ X2))) )),
% 0.22/0.44 inference(pi_clausification,[],[f12])).
% 0.22/0.44 thf(f12,plain,(
% 0.22/0.44 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((f @ Y0) = (f @ X1)) => (Y0 = X1)))) = $true)) )),
% 0.22/0.44 inference(beta_eta_normalization,[],[f11])).
% 0.22/0.44 thf(f11,plain,(
% 0.22/0.44 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((f @ Y1) = (f @ Y0)) => (Y1 = Y0))))) @ X1) = $true)) )),
% 0.22/0.44 inference(pi_clausification,[],[f10])).
% 0.22/0.44 thf(f10,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((f @ Y1) = (f @ Y0)) => (Y1 = Y0)))))) = $true)),
% 0.22/0.44 inference(cnf_transformation,[],[f6])).
% 0.22/0.44 thf(f6,plain,(
% 0.22/0.44 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((f @ Y1) = (f @ Y0)) => (Y1 = Y0)))))) = $true)),
% 0.22/0.44 inference(fool_elimination,[],[f5])).
% 0.22/0.44 thf(f5,plain,(
% 0.22/0.44 ! [X0,X1] : (((f @ X0) = (f @ X1)) => (X0 = X1))),
% 0.22/0.44 inference(rectify,[],[f1])).
% 0.22/0.44 thf(f1,axiom,(
% 0.22/0.44 ! [X1,X0] : (((f @ X0) = (f @ X1)) => (X0 = X1))),
% 0.22/0.44 file('/export/starexec/sandbox/tmp/tmp.oqMlHs8ICL/Vampire---4.8_30540',finj)).
% 0.22/0.44 thf(f394,plain,(
% 0.22/0.44 ($false != (f @ sK3)) | ~spl0_4),
% 0.22/0.44 inference(forward_demodulation,[],[f45,f62])).
% 0.22/0.44 thf(f62,plain,(
% 0.22/0.44 ($false = (f @ sK4)) | ~spl0_4),
% 0.22/0.44 inference(avatar_component_clause,[],[f61])).
% 0.22/0.44 thf(f61,plain,(
% 0.22/0.44 spl0_4 <=> ($false = (f @ sK4))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.22/0.44 thf(f45,plain,(
% 0.22/0.44 ((f @ sK3) != (f @ sK4))),
% 0.22/0.44 inference(equality_proxy_clausification,[],[f42])).
% 0.22/0.44 thf(f42,plain,(
% 0.22/0.44 ($false = ((f @ sK4) = (f @ sK3)))),
% 0.22/0.44 inference(not_proxy_clausification,[],[f35])).
% 0.22/0.44 thf(f35,plain,(
% 0.22/0.44 ($true = (~ ((f @ sK4) = (f @ sK3))))),
% 0.22/0.44 inference(boolean_simplification,[],[f34])).
% 0.22/0.44 thf(f34,plain,(
% 0.22/0.44 ($true = (((f @ sK4) = (f @ sK3)) => $false))),
% 0.22/0.44 inference(superposition,[],[f14,f32])).
% 0.22/0.44 thf(f32,plain,(
% 0.22/0.44 ($false = (sK4 = sK3))),
% 0.22/0.44 inference(boolean_simplification,[],[f31])).
% 0.22/0.44 thf(f31,plain,(
% 0.22/0.44 ($false = ((sK4 = sK3) | $false))),
% 0.22/0.44 inference(backward_demodulation,[],[f28,f29])).
% 0.22/0.44 thf(f432,plain,(
% 0.22/0.44 ($false = ($false = (f @ sK2))) | ~spl0_4),
% 0.22/0.44 inference(not_proxy_clausification,[],[f390])).
% 0.22/0.44 thf(f390,plain,(
% 0.22/0.44 ($true = (~ ($false = (f @ sK2)))) | ~spl0_4),
% 0.22/0.44 inference(backward_demodulation,[],[f38,f62])).
% 0.22/0.44 thf(f38,plain,(
% 0.22/0.44 ($true = (~ ((f @ sK4) = (f @ sK2))))),
% 0.22/0.44 inference(boolean_simplification,[],[f37])).
% 0.22/0.44 thf(f37,plain,(
% 0.22/0.44 ((((f @ sK4) = (f @ sK2)) => $false) = $true)),
% 0.22/0.44 inference(superposition,[],[f14,f25])).
% 0.22/0.44 thf(f384,plain,(
% 0.22/0.44 ~spl0_1 | ~spl0_3),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f383])).
% 0.22/0.44 thf(f383,plain,(
% 0.22/0.44 $false | (~spl0_1 | ~spl0_3)),
% 0.22/0.44 inference(subsumption_resolution,[],[f370,f39])).
% 0.22/0.44 thf(f370,plain,(
% 0.22/0.44 (sK3 = sK2) | (~spl0_1 | ~spl0_3)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f367])).
% 0.22/0.44 thf(f367,plain,(
% 0.22/0.44 ($false = $true) | (sK3 = sK2) | (~spl0_1 | ~spl0_3)),
% 0.22/0.44 inference(superposition,[],[f59,f296])).
% 0.22/0.44 thf(f296,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (((f @ X0) = $true) | (sK2 = X0)) ) | ~spl0_1),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f289])).
% 0.22/0.44 thf(f289,plain,(
% 0.22/0.44 ( ! [X0 : $i] : (((f @ X0) = $true) | (sK2 = X0) | ($true != $true)) ) | ~spl0_1),
% 0.22/0.44 inference(superposition,[],[f84,f264])).
% 0.22/0.44 thf(f264,plain,(
% 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (((f @ X2) = $true) | ((f @ X1) = $true) | (X1 = X2)) )),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f233])).
% 0.22/0.44 thf(f84,plain,(
% 0.22/0.44 ($true != (f @ sK2)) | ~spl0_1),
% 0.22/0.44 inference(equality_proxy_clausification,[],[f81])).
% 0.22/0.44 thf(f81,plain,(
% 0.22/0.44 ($false = ($true = (f @ sK2))) | ~spl0_1),
% 0.22/0.44 inference(not_proxy_clausification,[],[f70])).
% 0.22/0.44 thf(f70,plain,(
% 0.22/0.44 ($true = (~ ($true = (f @ sK2)))) | ~spl0_1),
% 0.22/0.44 inference(backward_demodulation,[],[f38,f52])).
% 0.22/0.44 thf(f52,plain,(
% 0.22/0.44 ((f @ sK4) = $true) | ~spl0_1),
% 0.22/0.44 inference(avatar_component_clause,[],[f51])).
% 0.22/0.44 thf(f51,plain,(
% 0.22/0.44 spl0_1 <=> ((f @ sK4) = $true)),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.22/0.44 thf(f59,plain,(
% 0.22/0.44 ($false = (f @ sK3)) | ~spl0_3),
% 0.22/0.44 inference(avatar_component_clause,[],[f58])).
% 0.22/0.44 thf(f58,plain,(
% 0.22/0.44 spl0_3 <=> ($false = (f @ sK3))),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.22/0.44 thf(f69,plain,(
% 0.22/0.44 ~spl0_2 | ~spl0_3),
% 0.22/0.44 inference(avatar_contradiction_clause,[],[f68])).
% 0.22/0.44 thf(f68,plain,(
% 0.22/0.44 $false | (~spl0_2 | ~spl0_3)),
% 0.22/0.44 inference(trivial_inequality_removal,[],[f67])).
% 0.22/0.44 thf(f67,plain,(
% 0.22/0.44 ($false = $true) | (~spl0_2 | ~spl0_3)),
% 0.22/0.44 inference(backward_demodulation,[],[f55,f59])).
% 0.22/0.44 thf(f55,plain,(
% 0.22/0.44 ((f @ sK3) = $true) | ~spl0_2),
% 0.22/0.44 inference(avatar_component_clause,[],[f54])).
% 0.22/0.44 thf(f54,plain,(
% 0.22/0.44 spl0_2 <=> ((f @ sK3) = $true)),
% 0.22/0.44 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.22/0.44 thf(f63,plain,(
% 0.22/0.44 spl0_3 | spl0_4),
% 0.22/0.44 inference(avatar_split_clause,[],[f49,f61,f58])).
% 0.22/0.44 thf(f49,plain,(
% 0.22/0.44 ($false = (f @ sK3)) | ($false = (f @ sK4))),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f45])).
% 0.22/0.44 thf(f56,plain,(
% 0.22/0.44 spl0_1 | spl0_2),
% 0.22/0.44 inference(avatar_split_clause,[],[f48,f54,f51])).
% 0.22/0.44 thf(f48,plain,(
% 0.22/0.44 ((f @ sK4) = $true) | ((f @ sK3) = $true)),
% 0.22/0.44 inference(binary_proxy_clausification,[],[f45])).
% 0.22/0.44 % SZS output end Proof for Vampire---4
% 0.22/0.44 % (30815)------------------------------
% 0.22/0.44 % (30815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (30815)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (30815)Memory used [KB]: 5756
% 0.22/0.44 % (30815)Time elapsed: 0.066 s
% 0.22/0.44 % (30815)Instructions burned: 59 (million)
% 0.22/0.44 % (30815)------------------------------
% 0.22/0.44 % (30815)------------------------------
% 0.22/0.44 % (30803)Success in time 0.08 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------