TSTP Solution File: QUA005^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : QUA005^1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n014.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 08:50:55 EDT 2024
% Result : Theorem 0.17s 0.55s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : QUA005^1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % 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
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 17:07:37 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_EQU_NAR problem
% 0.11/0.32 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.FuV6IAVGDx/Vampire---4.8_11993
% 0.11/0.34 % (12106)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 (2999ds/275Mi)
% 0.11/0.34 % (12103)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 (2999ds/27Mi)
% 0.11/0.34 % (12101)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.11/0.34 % (12102)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 (2999ds/4Mi)
% 0.11/0.34 % (12104)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.11/0.34 % (12105)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 (2999ds/2Mi)
% 0.11/0.34 % (12107)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.11/0.34 % (12108)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 (2999ds/3Mi)
% 0.11/0.34 % (12106)Refutation not found, incomplete strategy
% 0.11/0.34 % (12106)------------------------------
% 0.11/0.34 % (12106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (12106)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.34
% 0.11/0.34
% 0.11/0.34 % (12106)Memory used [KB]: 5500
% 0.11/0.34 % (12106)Time elapsed: 0.003 s
% 0.11/0.34 % (12106)Instructions burned: 2 (million)
% 0.11/0.34 % (12106)------------------------------
% 0.11/0.34 % (12106)------------------------------
% 0.11/0.34 % (12102)Instruction limit reached!
% 0.11/0.34 % (12102)------------------------------
% 0.11/0.34 % (12102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (12102)Termination reason: Unknown
% 0.11/0.34 % (12102)Termination phase: Function definition elimination
% 0.11/0.34
% 0.11/0.34 % (12102)Memory used [KB]: 1023
% 0.11/0.34 % (12102)Time elapsed: 0.003 s
% 0.11/0.34 % (12102)Instructions burned: 4 (million)
% 0.11/0.34 % (12102)------------------------------
% 0.11/0.34 % (12102)------------------------------
% 0.11/0.34 % (12104)Instruction limit reached!
% 0.11/0.34 % (12104)------------------------------
% 0.11/0.34 % (12104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (12104)Termination reason: Unknown
% 0.11/0.34 % (12104)Termination phase: Property scanning
% 0.11/0.34
% 0.11/0.34 % (12104)Memory used [KB]: 1023
% 0.11/0.34 % (12104)Time elapsed: 0.003 s
% 0.11/0.34 % (12104)Instructions burned: 3 (million)
% 0.11/0.34 % (12104)------------------------------
% 0.11/0.34 % (12104)------------------------------
% 0.11/0.34 % (12105)Instruction limit reached!
% 0.11/0.34 % (12105)------------------------------
% 0.11/0.34 % (12105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (12105)Termination reason: Unknown
% 0.11/0.34 % (12105)Termination phase: Property scanning
% 0.11/0.34
% 0.11/0.34 % (12105)Memory used [KB]: 1023
% 0.11/0.34 % (12105)Time elapsed: 0.003 s
% 0.11/0.34 % (12105)Instructions burned: 3 (million)
% 0.11/0.34 % (12105)------------------------------
% 0.11/0.34 % (12105)------------------------------
% 0.11/0.34 % (12108)Instruction limit reached!
% 0.11/0.34 % (12108)------------------------------
% 0.11/0.34 % (12108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (12108)Termination reason: Unknown
% 0.11/0.34 % (12108)Termination phase: Saturation
% 0.11/0.34
% 0.11/0.34 % (12108)Memory used [KB]: 5500
% 0.11/0.34 % (12108)Time elapsed: 0.003 s
% 0.11/0.34 % (12108)Instructions burned: 4 (million)
% 0.11/0.34 % (12108)------------------------------
% 0.11/0.34 % (12108)------------------------------
% 0.11/0.34 % (12103)Refutation not found, incomplete strategy
% 0.11/0.34 % (12103)------------------------------
% 0.11/0.34 % (12103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (12103)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.34
% 0.11/0.34
% 0.11/0.34 % (12103)Memory used [KB]: 5500
% 0.11/0.34 % (12103)Time elapsed: 0.005 s
% 0.11/0.34 % (12103)Instructions burned: 7 (million)
% 0.11/0.34 % (12103)------------------------------
% 0.11/0.34 % (12103)------------------------------
% 0.17/0.35 % (12107)Instruction limit reached!
% 0.17/0.35 % (12107)------------------------------
% 0.17/0.35 % (12107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (12107)Termination reason: Unknown
% 0.17/0.35 % (12107)Termination phase: Saturation
% 0.17/0.35
% 0.17/0.35 % (12107)Memory used [KB]: 5628
% 0.17/0.35 % (12107)Time elapsed: 0.011 s
% 0.17/0.35 % (12107)Instructions burned: 18 (million)
% 0.17/0.35 % (12107)------------------------------
% 0.17/0.35 % (12107)------------------------------
% 0.17/0.35 % (12110)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)
% 0.17/0.35 % (12111)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)
% 0.17/0.35 % (12109)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)
% 0.17/0.35 % (12112)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)
% 0.17/0.35 % (12113)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)
% 0.17/0.36 % (12110)Refutation not found, incomplete strategy
% 0.17/0.36 % (12110)------------------------------
% 0.17/0.36 % (12110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (12110)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.36
% 0.17/0.36
% 0.17/0.36 % (12110)Memory used [KB]: 5500
% 0.17/0.36 % (12110)Time elapsed: 0.004 s
% 0.17/0.36 % (12110)Instructions burned: 4 (million)
% 0.17/0.36 % (12110)------------------------------
% 0.17/0.36 % (12110)------------------------------
% 0.17/0.36 % (12111)Instruction limit reached!
% 0.17/0.36 % (12111)------------------------------
% 0.17/0.36 % (12111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (12111)Termination reason: Unknown
% 0.17/0.36 % (12111)Termination phase: Saturation
% 0.17/0.36
% 0.17/0.36 % (12111)Memory used [KB]: 1023
% 0.17/0.36 % (12111)Time elapsed: 0.003 s
% 0.17/0.36 % (12111)Instructions burned: 4 (million)
% 0.17/0.36 % (12111)------------------------------
% 0.17/0.36 % (12111)------------------------------
% 0.17/0.36 % (12114)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)
% 0.17/0.36 % (12113)Instruction limit reached!
% 0.17/0.36 % (12113)------------------------------
% 0.17/0.36 % (12113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (12113)Termination reason: Unknown
% 0.17/0.36 % (12113)Termination phase: Saturation
% 0.17/0.36
% 0.17/0.36 % (12113)Memory used [KB]: 1023
% 0.17/0.36 % (12113)Time elapsed: 0.005 s
% 0.17/0.36 % (12113)Instructions burned: 7 (million)
% 0.17/0.36 % (12113)------------------------------
% 0.17/0.36 % (12113)------------------------------
% 0.17/0.36 % (12115)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)
% 0.17/0.36 % (12115)Instruction limit reached!
% 0.17/0.36 % (12115)------------------------------
% 0.17/0.36 % (12115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (12115)Termination reason: Unknown
% 0.17/0.36 % (12115)Termination phase: Property scanning
% 0.17/0.36
% 0.17/0.36 % (12115)Memory used [KB]: 1023
% 0.17/0.36 % (12115)Time elapsed: 0.003 s
% 0.17/0.36 % (12115)Instructions burned: 3 (million)
% 0.17/0.36 % (12115)------------------------------
% 0.17/0.36 % (12115)------------------------------
% 0.17/0.36 % (12114)Instruction limit reached!
% 0.17/0.36 % (12114)------------------------------
% 0.17/0.36 % (12114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (12114)Termination reason: Unknown
% 0.17/0.36 % (12114)Termination phase: Saturation
% 0.17/0.36
% 0.17/0.36 % (12114)Memory used [KB]: 5628
% 0.17/0.36 % (12114)Time elapsed: 0.010 s
% 0.17/0.36 % (12114)Instructions burned: 16 (million)
% 0.17/0.36 % (12114)------------------------------
% 0.17/0.36 % (12114)------------------------------
% 0.17/0.37 % (12117)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)
% 0.17/0.37 % (12116)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)
% 0.17/0.37 % (12116)Instruction limit reached!
% 0.17/0.37 % (12116)------------------------------
% 0.17/0.37 % (12116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (12116)Termination reason: Unknown
% 0.17/0.37 % (12116)Termination phase: Property scanning
% 0.17/0.37
% 0.17/0.37 % (12116)Memory used [KB]: 1023
% 0.17/0.37 % (12116)Time elapsed: 0.003 s
% 0.17/0.37 % (12116)Instructions burned: 4 (million)
% 0.17/0.37 % (12116)------------------------------
% 0.17/0.37 % (12116)------------------------------
% 0.17/0.37 % (12117)Refutation not found, incomplete strategy
% 0.17/0.37 % (12117)------------------------------
% 0.17/0.37 % (12117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (12117)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.37
% 0.17/0.37
% 0.17/0.37 % (12117)Memory used [KB]: 5500
% 0.17/0.37 % (12117)Time elapsed: 0.004 s
% 0.17/0.37 % (12117)Instructions burned: 6 (million)
% 0.17/0.37 % (12117)------------------------------
% 0.17/0.37 % (12117)------------------------------
% 0.17/0.37 % (12118)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)
% 0.17/0.37 % (12109)Instruction limit reached!
% 0.17/0.37 % (12109)------------------------------
% 0.17/0.37 % (12109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (12109)Termination reason: Unknown
% 0.17/0.37 % (12109)Termination phase: Saturation
% 0.17/0.37
% 0.17/0.37 % (12109)Memory used [KB]: 5756
% 0.17/0.37 % (12109)Time elapsed: 0.020 s
% 0.17/0.37 % (12109)Instructions burned: 38 (million)
% 0.17/0.37 % (12109)------------------------------
% 0.17/0.37 % (12109)------------------------------
% 0.17/0.37 % (12118)Instruction limit reached!
% 0.17/0.37 % (12118)------------------------------
% 0.17/0.37 % (12118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (12118)Termination reason: Unknown
% 0.17/0.37 % (12118)Termination phase: Function definition elimination
% 0.17/0.37
% 0.17/0.37 % (12118)Memory used [KB]: 1023
% 0.17/0.37 % (12118)Time elapsed: 0.003 s
% 0.17/0.37 % (12118)Instructions burned: 4 (million)
% 0.17/0.37 % (12118)------------------------------
% 0.17/0.37 % (12118)------------------------------
% 0.17/0.38 % (12119)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)
% 0.17/0.38 % (12120)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)
% 0.17/0.38 % (12119)Instruction limit reached!
% 0.17/0.38 % (12119)------------------------------
% 0.17/0.38 % (12119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (12119)Termination reason: Unknown
% 0.17/0.38 % (12119)Termination phase: Saturation
% 0.17/0.38
% 0.17/0.38 % (12119)Memory used [KB]: 1023
% 0.17/0.38 % (12119)Time elapsed: 0.003 s
% 0.17/0.38 % (12119)Instructions burned: 4 (million)
% 0.17/0.38 % (12119)------------------------------
% 0.17/0.38 % (12119)------------------------------
% 0.17/0.38 % (12121)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)
% 0.17/0.38 % (12122)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.17/0.39 % (12122)Instruction limit reached!
% 0.17/0.39 % (12122)------------------------------
% 0.17/0.39 % (12122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (12122)Termination reason: Unknown
% 0.17/0.39 % (12122)Termination phase: Saturation
% 0.17/0.39
% 0.17/0.39 % (12122)Memory used [KB]: 5500
% 0.17/0.39 % (12122)Time elapsed: 0.004 s
% 0.17/0.39 % (12122)Instructions burned: 6 (million)
% 0.17/0.39 % (12122)------------------------------
% 0.17/0.39 % (12122)------------------------------
% 0.17/0.39 % (12123)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)
% 0.17/0.39 % (12124)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)
% 0.17/0.39 % (12123)Refutation not found, incomplete strategy
% 0.17/0.39 % (12123)------------------------------
% 0.17/0.39 % (12123)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (12123)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.39
% 0.17/0.39
% 0.17/0.39 % (12123)Memory used [KB]: 5500
% 0.17/0.39 % (12120)Instruction limit reached!
% 0.17/0.39 % (12120)------------------------------
% 0.17/0.39 % (12120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (12120)Termination reason: Unknown
% 0.17/0.39 % (12120)Termination phase: Saturation
% 0.17/0.39
% 0.17/0.39 % (12120)Memory used [KB]: 5628
% 0.17/0.39 % (12120)Time elapsed: 0.011 s
% 0.17/0.39 % (12120)Instructions burned: 18 (million)
% 0.17/0.39 % (12120)------------------------------
% 0.17/0.39 % (12120)------------------------------
% 0.17/0.39 % (12123)Time elapsed: 0.003 s
% 0.17/0.39 % (12123)Instructions burned: 3 (million)
% 0.17/0.39 % (12123)------------------------------
% 0.17/0.39 % (12123)------------------------------
% 0.17/0.39 % (12125)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.17/0.39 % (12125)Instruction limit reached!
% 0.17/0.39 % (12125)------------------------------
% 0.17/0.39 % (12125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (12125)Termination reason: Unknown
% 0.17/0.39 % (12125)Termination phase: Saturation
% 0.17/0.39
% 0.17/0.39 % (12125)Memory used [KB]: 5500
% 0.17/0.39 % (12125)Time elapsed: 0.004 s
% 0.17/0.39 % (12125)Instructions burned: 5 (million)
% 0.17/0.39 % (12125)------------------------------
% 0.17/0.39 % (12125)------------------------------
% 0.17/0.40 % (12126)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 Vampire---4 for (2999ds/6Mi)
% 0.17/0.40 % (12124)Instruction limit reached!
% 0.17/0.40 % (12124)------------------------------
% 0.17/0.40 % (12124)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (12124)Termination reason: Unknown
% 0.17/0.40 % (12124)Termination phase: Saturation
% 0.17/0.40
% 0.17/0.40 % (12124)Memory used [KB]: 5628
% 0.17/0.40 % (12124)Time elapsed: 0.036 s
% 0.17/0.40 % (12124)Instructions burned: 22 (million)
% 0.17/0.40 % (12124)------------------------------
% 0.17/0.40 % (12124)------------------------------
% 0.17/0.40 % (12126)Refutation not found, incomplete strategy
% 0.17/0.40 % (12126)------------------------------
% 0.17/0.40 % (12126)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (12126)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.40
% 0.17/0.40
% 0.17/0.40 % (12126)Memory used [KB]: 5500
% 0.17/0.40 % (12126)Time elapsed: 0.003 s
% 0.17/0.40 % (12126)Instructions burned: 4 (million)
% 0.17/0.40 % (12126)------------------------------
% 0.17/0.40 % (12126)------------------------------
% 0.17/0.40 % (12127)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.17/0.40 % (12128)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 Vampire---4 for (2999ds/779Mi)
% 0.17/0.40 % (12127)Refutation not found, incomplete strategy
% 0.17/0.40 % (12127)------------------------------
% 0.17/0.40 % (12127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (12127)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.40
% 0.17/0.40
% 0.17/0.40 % (12127)Memory used [KB]: 5500
% 0.17/0.40 % (12127)Time elapsed: 0.005 s
% 0.17/0.40 % (12127)Instructions burned: 5 (million)
% 0.17/0.40 % (12127)------------------------------
% 0.17/0.40 % (12127)------------------------------
% 0.17/0.41 % (12129)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 Vampire---4 for (2999ds/19Mi)
% 0.17/0.41 % (12129)Refutation not found, incomplete strategy
% 0.17/0.41 % (12129)------------------------------
% 0.17/0.41 % (12129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (12129)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.41
% 0.17/0.41
% 0.17/0.41 % (12129)Memory used [KB]: 5500
% 0.17/0.41 % (12129)Time elapsed: 0.003 s
% 0.17/0.41 % (12129)Instructions burned: 3 (million)
% 0.17/0.41 % (12129)------------------------------
% 0.17/0.41 % (12129)------------------------------
% 0.17/0.41 % (12131)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.17/0.41 % (12130)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.17/0.41 % (12130)Refutation not found, incomplete strategy
% 0.17/0.41 % (12130)------------------------------
% 0.17/0.41 % (12130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (12130)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.41
% 0.17/0.41
% 0.17/0.41 % (12130)Memory used [KB]: 5500
% 0.17/0.41 % (12130)Time elapsed: 0.005 s
% 0.17/0.41 % (12130)Instructions burned: 7 (million)
% 0.17/0.41 % (12130)------------------------------
% 0.17/0.41 % (12130)------------------------------
% 0.17/0.42 % (12132)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.17/0.42 % (12132)Instruction limit reached!
% 0.17/0.42 % (12132)------------------------------
% 0.17/0.42 % (12132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (12132)Termination reason: Unknown
% 0.17/0.42 % (12132)Termination phase: Property scanning
% 0.17/0.42
% 0.17/0.42 % (12132)Memory used [KB]: 1023
% 0.17/0.42 % (12132)Time elapsed: 0.003 s
% 0.17/0.42 % (12132)Instructions burned: 4 (million)
% 0.17/0.42 % (12132)------------------------------
% 0.17/0.42 % (12132)------------------------------
% 0.17/0.42 % (12131)Instruction limit reached!
% 0.17/0.42 % (12131)------------------------------
% 0.17/0.42 % (12131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (12131)Termination reason: Unknown
% 0.17/0.42 % (12131)Termination phase: Saturation
% 0.17/0.42
% 0.17/0.42 % (12131)Memory used [KB]: 5628
% 0.17/0.42 % (12131)Time elapsed: 0.010 s
% 0.17/0.42 % (12131)Instructions burned: 17 (million)
% 0.17/0.42 % (12131)------------------------------
% 0.17/0.42 % (12131)------------------------------
% 0.17/0.42 % (12133)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.17/0.43 % (12134)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2999ds/127Mi)
% 0.17/0.43 % (12101)Instruction limit reached!
% 0.17/0.43 % (12101)------------------------------
% 0.17/0.43 % (12101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (12101)Termination reason: Unknown
% 0.17/0.43 % (12101)Termination phase: Saturation
% 0.17/0.43
% 0.17/0.43 % (12101)Memory used [KB]: 6396
% 0.17/0.43 % (12101)Time elapsed: 0.091 s
% 0.17/0.43 % (12101)Instructions burned: 184 (million)
% 0.17/0.43 % (12101)------------------------------
% 0.17/0.43 % (12101)------------------------------
% 0.17/0.43 % (12135)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2999ds/100Mi)
% 0.17/0.43 % (12136)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.17/0.43 % (12136)Instruction limit reached!
% 0.17/0.43 % (12136)------------------------------
% 0.17/0.43 % (12136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (12136)Termination reason: Unknown
% 0.17/0.43 % (12136)Termination phase: Property scanning
% 0.17/0.43
% 0.17/0.43 % (12136)Memory used [KB]: 1023
% 0.17/0.43 % (12136)Time elapsed: 0.003 s
% 0.17/0.43 % (12136)Instructions burned: 4 (million)
% 0.17/0.43 % (12136)------------------------------
% 0.17/0.43 % (12136)------------------------------
% 0.17/0.44 % (12133)Instruction limit reached!
% 0.17/0.44 % (12133)------------------------------
% 0.17/0.44 % (12133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (12133)Termination reason: Unknown
% 0.17/0.44 % (12133)Termination phase: Saturation
% 0.17/0.44
% 0.17/0.44 % (12133)Memory used [KB]: 5756
% 0.17/0.44 % (12133)Time elapsed: 0.016 s
% 0.17/0.44 % (12133)Instructions burned: 30 (million)
% 0.17/0.44 % (12133)------------------------------
% 0.17/0.44 % (12133)------------------------------
% 0.17/0.44 % (12135)Refutation not found, incomplete strategy
% 0.17/0.44 % (12135)------------------------------
% 0.17/0.44 % (12135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (12135)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.44
% 0.17/0.44
% 0.17/0.44 % (12135)Memory used [KB]: 5500
% 0.17/0.44 % (12135)Time elapsed: 0.007 s
% 0.17/0.44 % (12135)Instructions burned: 9 (million)
% 0.17/0.44 % (12135)------------------------------
% 0.17/0.44 % (12135)------------------------------
% 0.17/0.44 % (12137)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2998ds/20Mi)
% 0.17/0.44 % (12137)Refutation not found, incomplete strategy
% 0.17/0.44 % (12137)------------------------------
% 0.17/0.44 % (12137)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (12137)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.44
% 0.17/0.44
% 0.17/0.44 % (12137)Memory used [KB]: 5500
% 0.17/0.44 % (12137)Time elapsed: 0.003 s
% 0.17/0.44 % (12137)Instructions burned: 3 (million)
% 0.17/0.44 % (12137)------------------------------
% 0.17/0.44 % (12137)------------------------------
% 0.17/0.45 % (12138)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2998ds/86Mi)
% 0.17/0.45 % (12139)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2998ds/107Mi)
% 0.17/0.45 % (12140)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 0.17/0.45 % (12139)Refutation not found, incomplete strategy
% 0.17/0.45 % (12139)------------------------------
% 0.17/0.45 % (12139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.45 % (12139)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.45
% 0.17/0.45
% 0.17/0.45 % (12139)Memory used [KB]: 5500
% 0.17/0.45 % (12139)Time elapsed: 0.004 s
% 0.17/0.45 % (12139)Instructions burned: 4 (million)
% 0.17/0.45 % (12139)------------------------------
% 0.17/0.45 % (12139)------------------------------
% 0.17/0.46 % (12141)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (2998ds/448Mi)
% 0.17/0.46 % (12141)Refutation not found, incomplete strategy
% 0.17/0.46 % (12141)------------------------------
% 0.17/0.46 % (12141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.46 % (12141)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.46
% 0.17/0.46
% 0.17/0.46 % (12141)Memory used [KB]: 5500
% 0.17/0.46 % (12141)Time elapsed: 0.003 s
% 0.17/0.46 % (12141)Instructions burned: 4 (million)
% 0.17/0.46 % (12141)------------------------------
% 0.17/0.46 % (12141)------------------------------
% 0.17/0.46 % (12142)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on Vampire---4 for (2998ds/46Mi)
% 0.17/0.47 % (12140)Instruction limit reached!
% 0.17/0.47 % (12140)------------------------------
% 0.17/0.47 % (12140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.47 % (12140)Termination reason: Unknown
% 0.17/0.47 % (12140)Termination phase: Saturation
% 0.17/0.47
% 0.17/0.47 % (12140)Memory used [KB]: 5628
% 0.17/0.47 % (12140)Time elapsed: 0.020 s
% 0.17/0.47 % (12140)Instructions burned: 39 (million)
% 0.17/0.47 % (12140)------------------------------
% 0.17/0.47 % (12140)------------------------------
% 0.17/0.47 % (12143)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (2998ds/98Mi)
% 0.17/0.48 % (12143)Refutation not found, incomplete strategy
% 0.17/0.48 % (12143)------------------------------
% 0.17/0.48 % (12143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.48 % (12143)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.48
% 0.17/0.48
% 0.17/0.48 % (12143)Memory used [KB]: 1151
% 0.17/0.48 % (12143)Time elapsed: 0.008 s
% 0.17/0.48 % (12143)Instructions burned: 13 (million)
% 0.17/0.48 % (12143)------------------------------
% 0.17/0.48 % (12143)------------------------------
% 0.17/0.48 % (12144)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on Vampire---4 for (2998ds/507Mi)
% 0.17/0.48 % (12138)Instruction limit reached!
% 0.17/0.48 % (12138)------------------------------
% 0.17/0.48 % (12138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.48 % (12138)Termination reason: Unknown
% 0.17/0.48 % (12138)Termination phase: Saturation
% 0.17/0.48
% 0.17/0.48 % (12138)Memory used [KB]: 5884
% 0.17/0.48 % (12138)Time elapsed: 0.040 s
% 0.17/0.48 % (12138)Instructions burned: 86 (million)
% 0.17/0.48 % (12138)------------------------------
% 0.17/0.48 % (12138)------------------------------
% 0.17/0.49 % (12144)Refutation not found, incomplete strategy
% 0.17/0.49 % (12144)------------------------------
% 0.17/0.49 % (12144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49 % (12144)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.49
% 0.17/0.49
% 0.17/0.49 % (12144)Memory used [KB]: 5500
% 0.17/0.49 % (12144)Time elapsed: 0.005 s
% 0.17/0.49 % (12144)Instructions burned: 5 (million)
% 0.17/0.49 % (12144)------------------------------
% 0.17/0.49 % (12144)------------------------------
% 0.17/0.49 % (12134)Instruction limit reached!
% 0.17/0.49 % (12134)------------------------------
% 0.17/0.49 % (12134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49 % (12134)Termination reason: Unknown
% 0.17/0.49 % (12142)Instruction limit reached!
% 0.17/0.49 % (12142)------------------------------
% 0.17/0.49 % (12142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49 % (12142)Termination reason: Unknown
% 0.17/0.49 % (12142)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (12142)Memory used [KB]: 5756
% 0.17/0.49 % (12142)Time elapsed: 0.026 s
% 0.17/0.49 % (12142)Instructions burned: 46 (million)
% 0.17/0.49 % (12142)------------------------------
% 0.17/0.49 % (12142)------------------------------
% 0.17/0.49 % (12134)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (12134)Memory used [KB]: 5884
% 0.17/0.49 % (12134)Time elapsed: 0.062 s
% 0.17/0.49 % (12134)Instructions burned: 127 (million)
% 0.17/0.49 % (12134)------------------------------
% 0.17/0.49 % (12134)------------------------------
% 0.17/0.49 % (12145)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (2998ds/149Mi)
% 0.17/0.50 % (12146)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 0.17/0.50 % (12146)Refutation not found, incomplete strategy
% 0.17/0.50 % (12146)------------------------------
% 0.17/0.50 % (12146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.50 % (12147)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2998ds/6Mi)
% 0.17/0.50 % (12146)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.50
% 0.17/0.50
% 0.17/0.50 % (12146)Memory used [KB]: 5500
% 0.17/0.50 % (12146)Time elapsed: 0.004 s
% 0.17/0.50 % (12146)Instructions burned: 6 (million)
% 0.17/0.50 % (12146)------------------------------
% 0.17/0.50 % (12146)------------------------------
% 0.17/0.50 % (12148)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on Vampire---4 for (2998ds/1087Mi)
% 0.17/0.50 % (12149)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2998ds/47Mi)
% 0.17/0.50 % (12147)Instruction limit reached!
% 0.17/0.50 % (12147)------------------------------
% 0.17/0.50 % (12147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.50 % (12147)Termination reason: Unknown
% 0.17/0.50 % (12147)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (12147)Memory used [KB]: 9978
% 0.17/0.50 % (12147)Time elapsed: 0.005 s
% 0.17/0.50 % (12147)Instructions burned: 6 (million)
% 0.17/0.50 % (12147)------------------------------
% 0.17/0.50 % (12147)------------------------------
% 0.17/0.50 % (12148)Refutation not found, incomplete strategy
% 0.17/0.50 % (12148)------------------------------
% 0.17/0.50 % (12148)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.50 % (12148)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.50
% 0.17/0.50
% 0.17/0.50 % (12148)Memory used [KB]: 5500
% 0.17/0.50 % (12148)Time elapsed: 0.003 s
% 0.17/0.50 % (12148)Instructions burned: 3 (million)
% 0.17/0.50 % (12148)------------------------------
% 0.17/0.50 % (12148)------------------------------
% 0.17/0.51 % (12150)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (2998ds/44Mi)
% 0.17/0.51 % (12150)Refutation not found, incomplete strategy
% 0.17/0.51 % (12150)------------------------------
% 0.17/0.51 % (12150)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.51 % (12150)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51
% 0.17/0.51
% 0.17/0.51 % (12150)Memory used [KB]: 1023
% 0.17/0.51 % (12150)Time elapsed: 0.003 s
% 0.17/0.51 % (12150)Instructions burned: 4 (million)
% 0.17/0.51 % (12150)------------------------------
% 0.17/0.51 % (12150)------------------------------
% 0.17/0.52 % (12151)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on Vampire---4 for (2998ds/432Mi)
% 0.17/0.52 % (12152)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (2998ds/62Mi)
% 0.17/0.52 % (12149)Instruction limit reached!
% 0.17/0.52 % (12149)------------------------------
% 0.17/0.52 % (12149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.52 % (12149)Termination reason: Unknown
% 0.17/0.52 % (12149)Termination phase: Saturation
% 0.17/0.52
% 0.17/0.52 % (12149)Memory used [KB]: 5628
% 0.17/0.52 % (12149)Time elapsed: 0.024 s
% 0.17/0.52 % (12149)Instructions burned: 47 (million)
% 0.17/0.52 % (12149)------------------------------
% 0.17/0.52 % (12149)------------------------------
% 0.17/0.53 % (12153)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2998ds/31Mi)
% 0.17/0.54 % (12154)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (2998ds/96Mi)
% 0.17/0.54 % (12153)Instruction limit reached!
% 0.17/0.54 % (12153)------------------------------
% 0.17/0.54 % (12153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.54 % (12153)Termination reason: Unknown
% 0.17/0.54 % (12153)Termination phase: Saturation
% 0.17/0.54
% 0.17/0.54 % (12153)Memory used [KB]: 5628
% 0.17/0.54 % (12153)Time elapsed: 0.017 s
% 0.17/0.54 % (12153)Instructions burned: 32 (million)
% 0.17/0.54 % (12153)------------------------------
% 0.17/0.54 % (12153)------------------------------
% 0.17/0.55 % (12152)Instruction limit reached!
% 0.17/0.55 % (12152)------------------------------
% 0.17/0.55 % (12152)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.55 % (12152)Termination reason: Unknown
% 0.17/0.55 % (12152)Termination phase: Saturation
% 0.17/0.55
% 0.17/0.55 % (12152)Memory used [KB]: 5756
% 0.17/0.55 % (12152)Time elapsed: 0.031 s
% 0.17/0.55 % (12152)Instructions burned: 62 (million)
% 0.17/0.55 % (12152)------------------------------
% 0.17/0.55 % (12152)------------------------------
% 0.17/0.55 % (12145)First to succeed.
% 0.17/0.55 % (12145)Refutation found. Thanks to Tanya!
% 0.17/0.55 % SZS status Theorem for Vampire---4
% 0.17/0.55 % SZS output start Proof for Vampire---4
% 0.17/0.55 thf(func_def_0, type, emptyset: $i > $o).
% 0.17/0.55 thf(func_def_1, type, union: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_3, type, singleton: $i > $i > $o).
% 0.17/0.55 thf(func_def_5, type, sup: ($i > $o) > $i).
% 0.17/0.55 thf(func_def_6, type, supset: (($i > $o) > $o) > $i > $o).
% 0.17/0.55 thf(func_def_7, type, unionset: (($i > $o) > $o) > $i > $o).
% 0.17/0.55 thf(func_def_8, type, addition: $i > $i > $i).
% 0.17/0.55 thf(func_def_9, type, leq: $i > $i > $o).
% 0.17/0.55 thf(func_def_10, type, multiplication: $i > $i > $i).
% 0.17/0.55 thf(func_def_11, type, crossmult: ($i > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_26, type, sF1: $i > $i).
% 0.17/0.55 thf(func_def_27, type, sF2: $i > $o).
% 0.17/0.55 thf(func_def_31, type, ph6: !>[X0: $tType]:(X0)).
% 0.17/0.55 thf(func_def_32, type, sK7: $i > $i).
% 0.17/0.55 thf(func_def_33, type, sK8: $i > $i > $i).
% 0.17/0.55 thf(func_def_34, type, sK9: $i > $i > $i).
% 0.17/0.55 thf(func_def_35, type, sK10: $i > $i).
% 0.17/0.55 thf(func_def_36, type, sK11: $i > $i).
% 0.17/0.55 thf(func_def_37, type, sK12: $i > $i > $i > $i).
% 0.17/0.55 thf(func_def_38, type, sK13: ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_39, type, sK14: ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_40, type, sK15: ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_41, type, sK16: ($i > $o) > ($i > $o) > $i > $i).
% 0.17/0.55 thf(func_def_42, type, sK17: ($i > $o) > ($i > $o) > $i > $i).
% 0.17/0.55 thf(func_def_43, type, sK18: ($i > $o) > ($i > $o) > $i > $i).
% 0.17/0.55 thf(func_def_44, type, sK19: (($i > $o) > $o) > $i).
% 0.17/0.55 thf(func_def_45, type, sK20: (($i > $o) > $o) > $i > $o).
% 0.17/0.55 thf(func_def_46, type, sK21: ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_47, type, sK22: ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_48, type, sK23: ($i > $o) > (($i > $o) > $o) > $i > $o).
% 0.17/0.55 thf(func_def_49, type, sK24: $i > (($i > $o) > $o) > $i).
% 0.17/0.55 thf(func_def_50, type, sK25: $i > (($i > $o) > $o) > $i > $o).
% 0.17/0.55 thf(func_def_51, type, sK26: $i > ($i > $o) > ($i > $o) > $i > $i).
% 0.17/0.55 thf(func_def_52, type, sK27: ($i > $o) > $i > $i > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_53, type, sK28: ($i > $o) > $i > ($i > $o) > $i > $i).
% 0.17/0.55 thf(func_def_54, type, sK29: $i > (($i > $o) > $o) > $i > $i).
% 0.17/0.55 thf(func_def_55, type, sK30: $i > (($i > $o) > $o) > $i > $i > $o).
% 0.17/0.55 thf(func_def_56, type, sK31: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_57, type, sK32: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_58, type, sK33: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_59, type, sK34: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_60, type, sK35: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_61, type, sK36: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_62, type, sK37: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_63, type, sK38: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_64, type, sK39: ($i > $o) > ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_65, type, sK40: ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_66, type, sK41: ($i > $o) > ($i > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_67, type, sK42: ($i > $o) > (($i > $o) > $o) > $i > $o).
% 0.17/0.55 thf(func_def_68, type, sK43: ($i > $o) > (($i > $o) > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_69, type, sK44: ($i > $o) > (($i > $o) > $o) > ($i > $o) > $i > $o).
% 0.17/0.55 thf(func_def_70, type, sK45: ($i > $o) > (($i > $o) > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_71, type, sK46: ($i > $o) > (($i > $o) > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(func_def_72, type, sK47: ($i > $o) > (($i > $o) > $o) > ($i > $o) > $i).
% 0.17/0.55 thf(f547,plain,(
% 0.17/0.55 $false),
% 0.17/0.55 inference(subsumption_resolution,[],[f546,f66])).
% 0.17/0.55 thf(f66,plain,(
% 0.17/0.55 (sF4 != sF3)),
% 0.17/0.55 inference(definition_folding,[],[f56,f64,f63,f65,f64,f63,f62])).
% 0.17/0.55 thf(f62,plain,(
% 0.17/0.55 ((multiplication @ sK0) = sF1)),
% 0.17/0.55 introduced(function_definition,[])).
% 0.17/0.55 thf(f65,plain,(
% 0.17/0.55 (sF4 = (sF1 @ sF3))),
% 0.17/0.55 introduced(function_definition,[])).
% 0.17/0.55 thf(f63,plain,(
% 0.17/0.55 (sF2 = (^[Y0 : $i]: ($false)))),
% 0.17/0.55 introduced(function_definition,[])).
% 0.17/0.55 thf(f64,plain,(
% 0.17/0.55 ((sup @ sF2) = sF3)),
% 0.17/0.55 introduced(function_definition,[])).
% 0.17/0.55 thf(f56,plain,(
% 0.17/0.55 ((multiplication @ sK0 @ (sup @ (^[Y0 : $i]: ($false)))) != (sup @ (^[Y0 : $i]: ($false))))),
% 0.17/0.55 inference(definition_unfolding,[],[f43,f54,f54])).
% 0.17/0.55 thf(f54,plain,(
% 0.17/0.55 (zero = (sup @ (^[Y0 : $i]: ($false))))),
% 0.17/0.55 inference(definition_unfolding,[],[f50,f42])).
% 0.17/0.55 thf(f42,plain,(
% 0.17/0.55 (emptyset = (^[Y0 : $i]: ($false)))),
% 0.17/0.55 inference(cnf_transformation,[],[f21])).
% 0.17/0.55 thf(f21,plain,(
% 0.17/0.55 (emptyset = (^[Y0 : $i]: ($false)))),
% 0.17/0.55 inference(fool_elimination,[],[f1])).
% 0.17/0.55 thf(f1,axiom,(
% 0.17/0.55 ((^[X0 : $i] : ($false)) = emptyset)),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.FuV6IAVGDx/Vampire---4.8_11993',emptyset_def)).
% 0.17/0.55 thf(f50,plain,(
% 0.17/0.55 ((sup @ emptyset) = zero)),
% 0.17/0.55 inference(cnf_transformation,[],[f4])).
% 0.17/0.55 thf(f4,axiom,(
% 0.17/0.55 ((sup @ emptyset) = zero)),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.FuV6IAVGDx/Vampire---4.8_11993',sup_es)).
% 0.17/0.55 thf(f43,plain,(
% 0.17/0.55 (zero != (multiplication @ sK0 @ zero))),
% 0.17/0.55 inference(cnf_transformation,[],[f36])).
% 0.17/0.55 thf(f36,plain,(
% 0.17/0.55 (zero != (multiplication @ sK0 @ zero))),
% 0.17/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f34,f35])).
% 0.17/0.55 thf(f35,plain,(
% 0.17/0.55 ? [X0] : (zero != (multiplication @ X0 @ zero)) => (zero != (multiplication @ sK0 @ zero))),
% 0.17/0.55 introduced(choice_axiom,[])).
% 0.17/0.55 thf(f34,plain,(
% 0.17/0.55 ? [X0] : (zero != (multiplication @ X0 @ zero))),
% 0.17/0.55 inference(ennf_transformation,[],[f32])).
% 0.17/0.55 thf(f32,plain,(
% 0.17/0.55 ~! [X0] : (zero = (multiplication @ X0 @ zero))),
% 0.17/0.55 inference(rectify,[],[f16])).
% 0.17/0.55 thf(f16,negated_conjecture,(
% 0.17/0.55 ~! [X4] : (zero = (multiplication @ X4 @ zero))),
% 0.17/0.55 inference(negated_conjecture,[],[f15])).
% 0.17/0.55 thf(f15,conjecture,(
% 0.17/0.55 ! [X4] : (zero = (multiplication @ X4 @ zero))),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.FuV6IAVGDx/Vampire---4.8_11993',multiplication_anni)).
% 0.17/0.55 thf(f546,plain,(
% 0.17/0.55 (sF4 = sF3)),
% 0.17/0.55 inference(backward_demodulation,[],[f65,f544])).
% 0.17/0.55 thf(f544,plain,(
% 0.17/0.55 (sF3 = (sF1 @ sF3))),
% 0.17/0.55 inference(superposition,[],[f542,f74])).
% 0.17/0.55 thf(f74,plain,(
% 0.17/0.55 ( ! [X1 : $i] : (((multiplication @ sK0 @ X1) = (sF1 @ X1))) )),
% 0.17/0.55 inference(argument_congruence,[],[f62])).
% 0.17/0.55 thf(f542,plain,(
% 0.17/0.55 ( ! [X0 : $i] : ((sF3 = (multiplication @ X0 @ sF3))) )),
% 0.17/0.55 inference(superposition,[],[f499,f67])).
% 0.17/0.55 thf(f67,plain,(
% 0.17/0.55 ( ! [X0 : $i] : (((sup @ (= @ X0)) = X0)) )),
% 0.17/0.55 inference(beta_eta_normalization,[],[f60])).
% 0.17/0.55 thf(f60,plain,(
% 0.17/0.55 ( ! [X0 : $i] : (((sup @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X0)) = X0)) )),
% 0.17/0.55 inference(definition_unfolding,[],[f52,f48])).
% 0.17/0.55 thf(f48,plain,(
% 0.17/0.55 (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))),
% 0.17/0.55 inference(cnf_transformation,[],[f31])).
% 0.17/0.55 thf(f31,plain,(
% 0.17/0.55 (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))),
% 0.17/0.55 inference(fool_elimination,[],[f30])).
% 0.17/0.55 thf(f30,plain,(
% 0.17/0.55 (singleton = (^[X0 : $i, X1 : $i] : ((X0 = X1))))),
% 0.17/0.55 inference(rectify,[],[f3])).
% 0.17/0.55 thf(f3,axiom,(
% 0.17/0.55 (singleton = (^[X0 : $i, X2 : $i] : ((X0 = X2))))),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.FuV6IAVGDx/Vampire---4.8_11993',singleton_def)).
% 0.17/0.55 thf(f52,plain,(
% 0.17/0.55 ( ! [X0 : $i] : (((sup @ (singleton @ X0)) = X0)) )),
% 0.17/0.55 inference(cnf_transformation,[],[f5])).
% 0.17/0.55 thf(f5,axiom,(
% 0.17/0.55 ! [X0] : ((sup @ (singleton @ X0)) = X0)),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.FuV6IAVGDx/Vampire---4.8_11993',sup_singleset)).
% 0.17/0.55 thf(f499,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o] : (((multiplication @ (sup @ X0) @ sF3) = sF3)) )),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f498])).
% 0.17/0.55 thf(f498,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o] : (((multiplication @ (sup @ X0) @ sF3) = sF3) | ($true = $false)) )),
% 0.17/0.55 inference(forward_demodulation,[],[f476,f73])).
% 0.17/0.55 thf(f73,plain,(
% 0.17/0.55 ( ! [X1 : $i] : (($false = (sF2 @ X1))) )),
% 0.17/0.55 inference(beta_eta_normalization,[],[f72])).
% 0.17/0.55 thf(f72,plain,(
% 0.17/0.55 ( ! [X1 : $i] : (((sF2 @ X1) = ((^[Y0 : $i]: ($false)) @ X1))) )),
% 0.17/0.55 inference(argument_congruence,[],[f63])).
% 0.17/0.55 thf(f476,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o] : (((multiplication @ (sup @ X0) @ sF3) = sF3) | ($true = (sF2 @ (sK14 @ X0 @ sF2)))) )),
% 0.17/0.55 inference(superposition,[],[f212,f64])).
% 0.17/0.55 thf(f212,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3) | ($true = (X0 @ (sK14 @ X1 @ X0)))) )),
% 0.17/0.55 inference(trivial_inequality_removal,[],[f211])).
% 0.17/0.55 thf(f211,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true = (X0 @ (sK14 @ X1 @ X0))) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3) | ($true = $false)) )),
% 0.17/0.55 inference(forward_demodulation,[],[f206,f73])).
% 0.17/0.55 thf(f206,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true = (X0 @ (sK14 @ X1 @ X0))) | ($true = (sF2 @ (sK13 @ X1 @ X0))) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3)) )),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f205])).
% 0.17/0.55 thf(f205,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true = (sF2 @ (sK13 @ X1 @ X0))) | ($true = (((multiplication @ (sK15 @ X1 @ X0) @ (sK14 @ X1 @ X0)) = (sK13 @ X1 @ X0)) & (X0 @ (sK14 @ X1 @ X0)))) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3)) )),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f203])).
% 0.17/0.55 thf(f203,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true = (sF2 @ (sK13 @ X1 @ X0))) | ($true = ((((multiplication @ (sK15 @ X1 @ X0) @ (sK14 @ X1 @ X0)) = (sK13 @ X1 @ X0)) & (X0 @ (sK14 @ X1 @ X0))) & (X1 @ (sK15 @ X1 @ X0)))) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3)) )),
% 0.17/0.55 inference(beta_eta_normalization,[],[f202])).
% 0.17/0.55 thf(f202,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3) | ($true = (sF2 @ (sK13 @ X1 @ X0))) | ($true = ((^[Y0 : $i]: ((((multiplication @ Y0 @ (sK14 @ X1 @ X0)) = (sK13 @ X1 @ X0)) & (X0 @ (sK14 @ X1 @ X0))) & (X1 @ Y0))) @ (sK15 @ X1 @ X0)))) )),
% 0.17/0.55 inference(sigma_clausification,[],[f201])).
% 0.17/0.55 thf(f201,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true = (sF2 @ (sK13 @ X1 @ X0))) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3) | ($true = (?? @ $i @ (^[Y0 : $i]: ((((multiplication @ Y0 @ (sK14 @ X1 @ X0)) = (sK13 @ X1 @ X0)) & (X0 @ (sK14 @ X1 @ X0))) & (X1 @ Y0)))))) )),
% 0.17/0.55 inference(beta_eta_normalization,[],[f200])).
% 0.17/0.55 thf(f200,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true = (sF2 @ (sK13 @ X1 @ X0))) | ($true = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((((multiplication @ Y1 @ Y0) = (sK13 @ X1 @ X0)) & (X0 @ Y0)) & (X1 @ Y1))))) @ (sK14 @ X1 @ X0))) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3)) )),
% 0.17/0.55 inference(sigma_clausification,[],[f191])).
% 0.17/0.55 thf(f191,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3) | ($true = (sF2 @ (sK13 @ X1 @ X0))) | ($true = (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((((multiplication @ Y1 @ Y0) = (sK13 @ X1 @ X0)) & (X0 @ Y0)) & (X1 @ Y1)))))))) )),
% 0.17/0.55 inference(binary_proxy_clausification,[],[f190])).
% 0.17/0.55 thf(f190,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3) | ((sF2 @ (sK13 @ X1 @ X0)) != (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((((multiplication @ Y1 @ Y0) = (sK13 @ X1 @ X0)) & (X0 @ Y0)) & (X1 @ Y1)))))))) )),
% 0.17/0.55 inference(beta_eta_normalization,[],[f187])).
% 0.17/0.55 thf(f187,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3) | ((sF2 @ (sK13 @ X1 @ X0)) != ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((((multiplication @ Y2 @ Y1) = Y0) & (X0 @ Y1)) & (X1 @ Y2))))))) @ (sK13 @ X1 @ X0)))) )),
% 0.17/0.55 inference(negative_extensionality,[],[f102])).
% 0.17/0.55 thf(f102,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : ((sF2 != (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((((multiplication @ Y2 @ Y1) = Y0) & (X0 @ Y1)) & (X1 @ Y2)))))))) | ((multiplication @ (sup @ X1) @ (sup @ X0)) = sF3)) )),
% 0.17/0.55 inference(constrained_superposition,[],[f69,f64])).
% 0.17/0.55 thf(f69,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = (sup @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((((multiplication @ Y2 @ Y1) = Y0) & (X0 @ Y1)) & (X1 @ Y2)))))))))) )),
% 0.17/0.55 inference(beta_eta_normalization,[],[f59])).
% 0.17/0.55 thf(f59,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((sup @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((((multiplication @ Y4 @ Y3) = Y2) & (Y1 @ Y3)) & (Y0 @ Y4))))))))))) @ X1 @ X0)) = (multiplication @ (sup @ X1) @ (sup @ X0)))) )),
% 0.17/0.55 inference(definition_unfolding,[],[f47,f51])).
% 0.17/0.55 thf(f51,plain,(
% 0.17/0.55 (crossmult = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((((multiplication @ Y4 @ Y3) = Y2) & (Y1 @ Y3)) & (Y0 @ Y4))))))))))))),
% 0.17/0.55 inference(cnf_transformation,[],[f23])).
% 0.17/0.55 thf(f23,plain,(
% 0.17/0.55 (crossmult = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((((multiplication @ Y4 @ Y3) = Y2) & (Y1 @ Y3)) & (Y0 @ Y4))))))))))))),
% 0.17/0.55 inference(fool_elimination,[],[f22])).
% 0.17/0.55 thf(f22,plain,(
% 0.17/0.55 (crossmult = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : (? [X3,X4] : ((X0 @ X3) & (X1 @ X4) & ((multiplication @ X3 @ X4) = X2)))))),
% 0.17/0.55 inference(rectify,[],[f11])).
% 0.17/0.55 thf(f11,axiom,(
% 0.17/0.55 (crossmult = (^[X0 : $i > $o, X1 : $i > $o, X6 : $i] : (? [X4,X7] : ((X0 @ X4) & (X1 @ X7) & ((multiplication @ X4 @ X7) = X6)))))),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.FuV6IAVGDx/Vampire---4.8_11993',crossmult_def)).
% 0.17/0.55 thf(f47,plain,(
% 0.17/0.55 ( ! [X0 : $i > $o,X1 : $i > $o] : (((multiplication @ (sup @ X1) @ (sup @ X0)) = (sup @ (crossmult @ X1 @ X0)))) )),
% 0.17/0.55 inference(cnf_transformation,[],[f33])).
% 0.17/0.55 thf(f33,plain,(
% 0.17/0.55 ! [X0 : $i > $o,X1 : $i > $o] : ((multiplication @ (sup @ X1) @ (sup @ X0)) = (sup @ (crossmult @ X1 @ X0)))),
% 0.17/0.55 inference(rectify,[],[f12])).
% 0.17/0.55 thf(f12,axiom,(
% 0.17/0.55 ! [X1 : $i > $o,X0 : $i > $o] : ((multiplication @ (sup @ X0) @ (sup @ X1)) = (sup @ (crossmult @ X0 @ X1)))),
% 0.17/0.55 file('/export/starexec/sandbox/tmp/tmp.FuV6IAVGDx/Vampire---4.8_11993',multiplication_def)).
% 0.17/0.55 % SZS output end Proof for Vampire---4
% 0.17/0.55 % (12145)------------------------------
% 0.17/0.55 % (12145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.55 % (12145)Termination reason: Refutation
% 0.17/0.55
% 0.17/0.55 % (12145)Memory used [KB]: 6012
% 0.17/0.55 % (12145)Time elapsed: 0.056 s
% 0.17/0.55 % (12145)Instructions burned: 107 (million)
% 0.17/0.55 % (12145)------------------------------
% 0.17/0.55 % (12145)------------------------------
% 0.17/0.55 % (12100)Success in time 0.215 s
% 0.17/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------