TSTP Solution File: SET579^3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET579^3 : TPTP v8.2.0. Released v8.1.0.
% 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 : n020.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 03:12:10 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET579^3 : TPTP v8.2.0. Released v8.1.0.
% 0.06/0.13 % 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
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 13:24:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a TH0_THM_EQU_NAR problem
% 0.14/0.34 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
% 0.14/0.36 % (19085)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.36 % (19087)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.36 % (19091)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.36 % (19087)Instruction limit reached!
% 0.14/0.36 % (19087)------------------------------
% 0.14/0.36 % (19087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (19087)Termination reason: Unknown
% 0.14/0.36 % (19087)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (19087)Memory used [KB]: 1023
% 0.14/0.37 % (19087)Time elapsed: 0.003 s
% 0.14/0.37 % (19087)Instructions burned: 3 (million)
% 0.14/0.37 % (19087)------------------------------
% 0.14/0.37 % (19087)------------------------------
% 0.14/0.37 % (19085)Instruction limit reached!
% 0.14/0.37 % (19085)------------------------------
% 0.14/0.37 % (19085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (19085)Termination reason: Unknown
% 0.14/0.37 % (19085)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (19085)Memory used [KB]: 1023
% 0.14/0.37 % (19085)Time elapsed: 0.004 s
% 0.14/0.37 % (19085)Instructions burned: 4 (million)
% 0.14/0.37 % (19085)------------------------------
% 0.14/0.37 % (19085)------------------------------
% 0.14/0.37 % (19091)Instruction limit reached!
% 0.14/0.37 % (19091)------------------------------
% 0.14/0.37 % (19091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (19088)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (19091)Termination reason: Unknown
% 0.14/0.37 % (19091)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (19091)Memory used [KB]: 1023
% 0.14/0.37 % (19091)Time elapsed: 0.004 s
% 0.14/0.37 % (19091)Instructions burned: 4 (million)
% 0.14/0.37 % (19091)------------------------------
% 0.14/0.37 % (19091)------------------------------
% 0.14/0.37 % (19088)Instruction limit reached!
% 0.14/0.37 % (19088)------------------------------
% 0.14/0.37 % (19088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (19088)Termination reason: Unknown
% 0.14/0.37 % (19088)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (19088)Memory used [KB]: 1023
% 0.14/0.37 % (19088)Time elapsed: 0.003 s
% 0.14/0.37 % (19088)Instructions burned: 3 (million)
% 0.14/0.37 % (19088)------------------------------
% 0.14/0.37 % (19088)------------------------------
% 0.14/0.37 % (19084)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (19089)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.37 % (19090)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (19089)Refutation not found, incomplete strategy
% 0.14/0.37 % (19089)------------------------------
% 0.14/0.37 % (19089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (19089)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (19089)Memory used [KB]: 5500
% 0.14/0.37 % (19089)Time elapsed: 0.007 s
% 0.14/0.37 % (19089)Instructions burned: 8 (million)
% 0.14/0.37 % (19089)------------------------------
% 0.14/0.37 % (19089)------------------------------
% 0.14/0.37 % (19086)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.38 % (19090)Instruction limit reached!
% 0.14/0.38 % (19090)------------------------------
% 0.14/0.38 % (19090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19090)Termination reason: Unknown
% 0.14/0.38 % (19090)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (19090)Memory used [KB]: 5628
% 0.14/0.38 % (19090)Time elapsed: 0.011 s
% 0.14/0.38 % (19090)Instructions burned: 19 (million)
% 0.14/0.38 % (19090)------------------------------
% 0.14/0.38 % (19090)------------------------------
% 0.14/0.38 % (19092)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)
% 0.14/0.38 % (19093)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)
% 0.14/0.38 % (19095)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)
% 0.14/0.39 % (19093)Instruction limit reached!
% 0.14/0.39 % (19093)------------------------------
% 0.14/0.39 % (19093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19093)Termination reason: Unknown
% 0.14/0.39 % (19093)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (19093)Memory used [KB]: 1151
% 0.14/0.39 % (19093)Time elapsed: 0.009 s
% 0.14/0.39 % (19093)Instructions burned: 15 (million)
% 0.14/0.39 % (19093)------------------------------
% 0.14/0.39 % (19093)------------------------------
% 0.14/0.39 % (19086)Instruction limit reached!
% 0.14/0.39 % (19086)------------------------------
% 0.14/0.39 % (19086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19086)Termination reason: Unknown
% 0.14/0.39 % (19086)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (19086)Memory used [KB]: 5884
% 0.14/0.39 % (19086)Time elapsed: 0.016 s
% 0.14/0.39 % (19086)Instructions burned: 27 (million)
% 0.14/0.39 % (19086)------------------------------
% 0.14/0.39 % (19086)------------------------------
% 0.14/0.39 % (19096)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.39 % (19096)Instruction limit reached!
% 0.14/0.39 % (19096)------------------------------
% 0.14/0.39 % (19096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19094)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)
% 0.14/0.39 % (19096)Termination reason: Unknown
% 0.14/0.39 % (19096)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (19096)Memory used [KB]: 1023
% 0.14/0.39 % (19096)Time elapsed: 0.006 s
% 0.14/0.39 % (19096)Instructions burned: 8 (million)
% 0.14/0.39 % (19096)------------------------------
% 0.14/0.39 % (19096)------------------------------
% 0.14/0.39 % (19094)Instruction limit reached!
% 0.14/0.39 % (19094)------------------------------
% 0.14/0.39 % (19094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19094)Termination reason: Unknown
% 0.14/0.39 % (19094)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (19094)Memory used [KB]: 1023
% 0.14/0.39 % (19094)Time elapsed: 0.003 s
% 0.14/0.39 % (19094)Instructions burned: 3 (million)
% 0.14/0.39 % (19094)------------------------------
% 0.14/0.39 % (19094)------------------------------
% 0.21/0.40 % (19092)Instruction limit reached!
% 0.21/0.40 % (19092)------------------------------
% 0.21/0.40 % (19092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (19092)Termination reason: Unknown
% 0.21/0.40 % (19092)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (19092)Memory used [KB]: 5884
% 0.21/0.40 % (19092)Time elapsed: 0.022 s
% 0.21/0.40 % (19092)Instructions burned: 37 (million)
% 0.21/0.40 % (19092)------------------------------
% 0.21/0.40 % (19092)------------------------------
% 0.21/0.40 % (19097)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40 % (19098)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)
% 0.21/0.40 % (19098)Instruction limit reached!
% 0.21/0.40 % (19098)------------------------------
% 0.21/0.40 % (19098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (19098)Termination reason: Unknown
% 0.21/0.40 % (19098)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (19098)Memory used [KB]: 1023
% 0.21/0.40 % (19098)Time elapsed: 0.003 s
% 0.21/0.40 % (19098)Instructions burned: 3 (million)
% 0.21/0.40 % (19098)------------------------------
% 0.21/0.40 % (19098)------------------------------
% 0.21/0.40 % (19099)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)
% 0.21/0.40 % (19099)Instruction limit reached!
% 0.21/0.40 % (19099)------------------------------
% 0.21/0.40 % (19099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (19099)Termination reason: Unknown
% 0.21/0.40 % (19099)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (19099)Memory used [KB]: 1023
% 0.21/0.40 % (19099)Time elapsed: 0.003 s
% 0.21/0.40 % (19099)Instructions burned: 3 (million)
% 0.21/0.40 % (19099)------------------------------
% 0.21/0.40 % (19099)------------------------------
% 0.21/0.41 % (19097)Instruction limit reached!
% 0.21/0.41 % (19097)------------------------------
% 0.21/0.41 % (19097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (19097)Termination reason: Unknown
% 0.21/0.41 % (19097)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (19097)Memory used [KB]: 5628
% 0.21/0.41 % (19097)Time elapsed: 0.009 s
% 0.21/0.41 % (19097)Instructions burned: 17 (million)
% 0.21/0.41 % (19097)------------------------------
% 0.21/0.41 % (19097)------------------------------
% 0.21/0.41 % (19100)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)
% 0.21/0.41 % (19101)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)
% 0.21/0.41 % (19101)Instruction limit reached!
% 0.21/0.41 % (19101)------------------------------
% 0.21/0.41 % (19101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (19101)Termination reason: Unknown
% 0.21/0.41 % (19101)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (19101)Memory used [KB]: 1023
% 0.21/0.41 % (19101)Time elapsed: 0.003 s
% 0.21/0.41 % (19101)Instructions burned: 3 (million)
% 0.21/0.41 % (19101)------------------------------
% 0.21/0.41 % (19101)------------------------------
% 0.21/0.41 % (19100)Instruction limit reached!
% 0.21/0.41 % (19100)------------------------------
% 0.21/0.41 % (19100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (19100)Termination reason: Unknown
% 0.21/0.41 % (19100)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (19100)Memory used [KB]: 1023
% 0.21/0.41 % (19100)Time elapsed: 0.006 s
% 0.21/0.41 % (19100)Instructions burned: 9 (million)
% 0.21/0.41 % (19100)------------------------------
% 0.21/0.41 % (19100)------------------------------
% 0.21/0.41 % (19102)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.42 % (19102)Instruction limit reached!
% 0.21/0.42 % (19102)------------------------------
% 0.21/0.42 % (19102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (19102)Termination reason: Unknown
% 0.21/0.42 % (19102)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (19102)Memory used [KB]: 1023
% 0.21/0.42 % (19102)Time elapsed: 0.004 s
% 0.21/0.42 % (19102)Instructions burned: 4 (million)
% 0.21/0.42 % (19102)------------------------------
% 0.21/0.42 % (19102)------------------------------
% 0.21/0.42 % (19103)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)
% 0.21/0.42 % (19104)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.42 % (19106)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)
% 0.21/0.43 % (19105)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.43 % (19107)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)
% 0.21/0.43 % (19103)Instruction limit reached!
% 0.21/0.43 % (19103)------------------------------
% 0.21/0.43 % (19103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (19103)Termination reason: Unknown
% 0.21/0.43 % (19103)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (19103)Memory used [KB]: 5628
% 0.21/0.43 % (19103)Time elapsed: 0.013 s
% 0.21/0.43 % (19103)Instructions burned: 19 (million)
% 0.21/0.43 % (19103)------------------------------
% 0.21/0.43 % (19103)------------------------------
% 0.21/0.43 % (19105)Instruction limit reached!
% 0.21/0.43 % (19105)------------------------------
% 0.21/0.43 % (19105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (19105)Termination reason: Unknown
% 0.21/0.43 % (19105)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (19105)Memory used [KB]: 1023
% 0.21/0.43 % (19105)Time elapsed: 0.005 s
% 0.21/0.43 % (19106)Refutation not found, incomplete strategy
% 0.21/0.43 % (19106)------------------------------
% 0.21/0.43 % (19106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (19106)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (19106)Memory used [KB]: 5628
% 0.21/0.43 % (19106)Time elapsed: 0.006 s
% 0.21/0.43 % (19106)Instructions burned: 8 (million)
% 0.21/0.43 % (19106)------------------------------
% 0.21/0.43 % (19106)------------------------------
% 0.21/0.43 % (19105)Instructions burned: 7 (million)
% 0.21/0.43 % (19105)------------------------------
% 0.21/0.43 % (19105)------------------------------
% 0.21/0.43 % (19108)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.43 % (19108)Instruction limit reached!
% 0.21/0.43 % (19108)------------------------------
% 0.21/0.43 % (19108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (19108)Termination reason: Unknown
% 0.21/0.43 % (19108)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (19108)Memory used [KB]: 1023
% 0.21/0.43 % (19108)Time elapsed: 0.004 s
% 0.21/0.43 % (19108)Instructions burned: 6 (million)
% 0.21/0.43 % (19108)------------------------------
% 0.21/0.43 % (19108)------------------------------
% 0.21/0.44 % (19107)Instruction limit reached!
% 0.21/0.44 % (19107)------------------------------
% 0.21/0.44 % (19107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (19107)Termination reason: Unknown
% 0.21/0.44 % (19107)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (19107)Memory used [KB]: 5756
% 0.21/0.44 % (19107)Time elapsed: 0.011 s
% 0.21/0.44 % (19107)Instructions burned: 22 (million)
% 0.21/0.44 % (19107)------------------------------
% 0.21/0.44 % (19107)------------------------------
% 0.21/0.44 % (19112)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.21/0.44 % (19109)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (19110)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.44 % (19111)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.21/0.45 % (19112)Refutation not found, incomplete strategy
% 0.21/0.45 % (19112)------------------------------
% 0.21/0.45 % (19112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (19112)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (19112)Memory used [KB]: 5628
% 0.21/0.45 % (19112)Time elapsed: 0.004 s
% 0.21/0.45 % (19112)Instructions burned: 10 (million)
% 0.21/0.45 % (19112)------------------------------
% 0.21/0.45 % (19112)------------------------------
% 0.21/0.45 % (19109)Instruction limit reached!
% 0.21/0.45 % (19109)------------------------------
% 0.21/0.45 % (19109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (19109)Termination reason: Unknown
% 0.21/0.45 % (19109)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (19109)Memory used [KB]: 1023
% 0.21/0.45 % (19109)Time elapsed: 0.005 s
% 0.21/0.45 % (19109)Instructions burned: 9 (million)
% 0.21/0.45 % (19109)------------------------------
% 0.21/0.45 % (19109)------------------------------
% 0.21/0.45 % (19113)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.45 % (19084)Instruction limit reached!
% 0.21/0.45 % (19084)------------------------------
% 0.21/0.45 % (19084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (19084)Termination reason: Unknown
% 0.21/0.45 % (19084)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (19084)Memory used [KB]: 6652
% 0.21/0.45 % (19084)Time elapsed: 0.087 s
% 0.21/0.45 % (19084)Instructions burned: 183 (million)
% 0.21/0.45 % (19084)------------------------------
% 0.21/0.45 % (19084)------------------------------
% 0.21/0.45 % (19114)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.46 % (19115)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.46 % (19111)Refutation not found, incomplete strategy
% 0.21/0.46 % (19111)------------------------------
% 0.21/0.46 % (19111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (19111)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % (19111)Memory used [KB]: 5628
% 0.21/0.46 % (19111)Time elapsed: 0.014 s
% 0.21/0.46 % (19111)Instructions burned: 27 (million)
% 0.21/0.46 % (19111)------------------------------
% 0.21/0.46 % (19111)------------------------------
% 0.21/0.46 % (19115)Instruction limit reached!
% 0.21/0.46 % (19115)------------------------------
% 0.21/0.46 % (19115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (19115)Termination reason: Unknown
% 0.21/0.46 % (19115)Termination phase: Property scanning
% 0.21/0.46
% 0.21/0.46 % (19115)Memory used [KB]: 1023
% 0.21/0.46 % (19115)Time elapsed: 0.003 s
% 0.21/0.46 % (19115)Instructions burned: 5 (million)
% 0.21/0.46 % (19115)------------------------------
% 0.21/0.46 % (19115)------------------------------
% 0.21/0.46 % (19114)Instruction limit reached!
% 0.21/0.46 % (19114)------------------------------
% 0.21/0.46 % (19114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (19114)Termination reason: Unknown
% 0.21/0.46 % (19114)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (19114)Memory used [KB]: 5628
% 0.21/0.46 % (19114)Time elapsed: 0.006 s
% 0.21/0.46 % (19114)Instructions burned: 18 (million)
% 0.21/0.46 % (19114)------------------------------
% 0.21/0.46 % (19114)------------------------------
% 0.21/0.46 % (19117)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.21/0.47 % (19118)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.47 % (19119)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 theBenchmark for (2998ds/3Mi)
% 0.21/0.47 % (19116)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.47 % (19119)Instruction limit reached!
% 0.21/0.47 % (19119)------------------------------
% 0.21/0.47 % (19119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (19119)Termination reason: Unknown
% 0.21/0.47 % (19119)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (19119)Memory used [KB]: 1023
% 0.21/0.47 % (19119)Time elapsed: 0.002 s
% 0.21/0.47 % (19119)Instructions burned: 4 (million)
% 0.21/0.47 % (19119)------------------------------
% 0.21/0.47 % (19119)------------------------------
% 0.21/0.48 % (19120)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 theBenchmark for (2998ds/20Mi)
% 0.21/0.48 % (19116)Instruction limit reached!
% 0.21/0.48 % (19116)------------------------------
% 0.21/0.48 % (19116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (19116)Termination reason: Unknown
% 0.21/0.48 % (19116)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (19116)Memory used [KB]: 5756
% 0.21/0.48 % (19116)Time elapsed: 0.041 s
% 0.21/0.48 % (19116)Instructions burned: 31 (million)
% 0.21/0.48 % (19116)------------------------------
% 0.21/0.48 % (19116)------------------------------
% 0.21/0.48 % (19120)Refutation not found, incomplete strategy
% 0.21/0.48 % (19120)------------------------------
% 0.21/0.48 % (19120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (19120)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 % (19120)Memory used [KB]: 5628
% 0.21/0.48 % (19120)Time elapsed: 0.006 s
% 0.21/0.48 % (19120)Instructions burned: 15 (million)
% 0.21/0.48 % (19120)------------------------------
% 0.21/0.48 % (19120)------------------------------
% 0.21/0.49 % (19122)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 theBenchmark for (2998ds/107Mi)
% 0.21/0.49 % (19117)First to succeed.
% 0.21/0.50 % (19117)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% 0.21/0.50 thf(type_def_5, type, mworld: $tType).
% 0.21/0.50 thf(func_def_0, type, mworld: $tType).
% 0.21/0.50 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.21/0.50 thf(func_def_2, type, mactual: mworld).
% 0.21/0.50 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.21/0.50 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_14, type, qmltpeq: $i > $i > mworld > $o).
% 0.21/0.50 thf(func_def_15, type, member: $i > $i > mworld > $o).
% 0.21/0.50 thf(func_def_16, type, subset: $i > $i > mworld > $o).
% 0.21/0.50 thf(func_def_17, type, difference: $i > $i > $i).
% 0.21/0.50 thf(func_def_32, type, sK0: mworld > mworld).
% 0.21/0.50 thf(func_def_39, type, ph5: !>[X0: $tType]:(X0)).
% 0.21/0.50 thf(f649,plain,(
% 0.21/0.50 $false),
% 0.21/0.50 inference(avatar_sat_refutation,[],[f271,f491,f540,f584,f646])).
% 0.21/0.50 thf(f646,plain,(
% 0.21/0.50 ~spl1_2 | ~spl1_8),
% 0.21/0.50 inference(avatar_contradiction_clause,[],[f645])).
% 0.21/0.50 thf(f645,plain,(
% 0.21/0.50 $false | (~spl1_2 | ~spl1_8)),
% 0.21/0.50 inference(trivial_inequality_removal,[],[f634])).
% 0.21/0.50 thf(f634,plain,(
% 0.21/0.50 ($false = $true) | (~spl1_2 | ~spl1_8)),
% 0.21/0.50 inference(backward_demodulation,[],[f539,f518])).
% 0.21/0.50 thf(f518,plain,(
% 0.21/0.50 ($false = (member @ sK8 @ sK4 @ mactual)) | ~spl1_2),
% 0.21/0.50 inference(not_proxy_clausification,[],[f517])).
% 0.21/0.50 thf(f517,plain,(
% 0.21/0.50 ($true = (~ (member @ sK8 @ sK4 @ mactual))) | ~spl1_2),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f515])).
% 0.21/0.50 thf(f515,plain,(
% 0.21/0.50 ($true = ((~ (member @ sK8 @ sK4 @ mactual)) & (member @ sK8 @ sK3 @ mactual))) | ~spl1_2),
% 0.21/0.50 inference(boolean_simplification,[],[f508])).
% 0.21/0.50 thf(f508,plain,(
% 0.21/0.50 (($true = ((~ (member @ sK8 @ sK4 @ mactual)) & (member @ sK8 @ sK3 @ mactual))) = $true) | ~spl1_2),
% 0.21/0.50 inference(superposition,[],[f129,f501])).
% 0.21/0.50 thf(f501,plain,(
% 0.21/0.50 ($true = (member @ sK8 @ sK2 @ mactual)) | ~spl1_2),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f499])).
% 0.21/0.50 thf(f499,plain,(
% 0.21/0.50 ($false = ((member @ sK8 @ sK2 @ mactual) => (member @ sK8 @ (difference @ sK3 @ sK4) @ mactual))) | ~spl1_2),
% 0.21/0.50 inference(beta_eta_normalization,[],[f498])).
% 0.21/0.50 thf(f498,plain,(
% 0.21/0.50 ($false = ((^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (difference @ sK3 @ sK4) @ mactual))) @ sK8)) | ~spl1_2),
% 0.21/0.50 inference(sigma_clausification,[],[f497])).
% 0.21/0.50 thf(f497,plain,(
% 0.21/0.50 ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (difference @ sK3 @ sK4) @ mactual))))) | ~spl1_2),
% 0.21/0.50 inference(not_proxy_clausification,[],[f496])).
% 0.21/0.50 thf(f496,plain,(
% 0.21/0.50 ((~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (difference @ sK3 @ sK4) @ mactual))))) = $true) | ~spl1_2),
% 0.21/0.50 inference(boolean_simplification,[],[f493])).
% 0.21/0.50 thf(f493,plain,(
% 0.21/0.50 (($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (difference @ sK3 @ sK4) @ mactual))))) = $true) | ~spl1_2),
% 0.21/0.50 inference(superposition,[],[f182,f261])).
% 0.21/0.50 thf(f261,plain,(
% 0.21/0.50 ((subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual) = $false) | ~spl1_2),
% 0.21/0.50 inference(avatar_component_clause,[],[f259])).
% 0.21/0.50 thf(f259,plain,(
% 0.21/0.50 spl1_2 <=> ((subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual) = $false)),
% 0.21/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.21/0.50 thf(f182,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : ((((subset @ X1 @ X2 @ mactual) = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ X1 @ mactual) => (member @ Y0 @ X2 @ mactual))))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f181])).
% 0.21/0.50 thf(f181,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((subset @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual)))))) @ X2))) )),
% 0.21/0.50 inference(pi_clausification,[],[f180])).
% 0.21/0.50 thf(f180,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((subset @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual))))))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f179])).
% 0.21/0.50 thf(f179,plain,(
% 0.21/0.50 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual)))))))) @ X1) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f178])).
% 0.21/0.50 thf(f178,plain,(
% 0.21/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual))))))))))),
% 0.21/0.50 inference(beta_eta_normalization,[],[f114])).
% 0.21/0.50 thf(f114,plain,(
% 0.21/0.50 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (subset @ Y0 @ Y1) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))) = $true)),
% 0.21/0.50 inference(definition_unfolding,[],[f98,f93,f86,f86,f84,f86,f101])).
% 0.21/0.50 thf(f101,plain,(
% 0.21/0.50 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f39])).
% 0.21/0.50 thf(f39,plain,(
% 0.21/0.50 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f38])).
% 0.21/0.50 thf(f38,plain,(
% 0.21/0.50 (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.21/0.50 inference(rectify,[],[f5])).
% 0.21/0.50 thf(f5,axiom,(
% 0.21/0.50 (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 0.21/0.50 thf(f84,plain,(
% 0.21/0.50 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f55])).
% 0.21/0.50 thf(f55,plain,(
% 0.21/0.50 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f54])).
% 0.21/0.50 thf(f54,plain,(
% 0.21/0.50 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) <=> (X1 @ X2))) = mequiv)),
% 0.21/0.50 inference(rectify,[],[f6])).
% 0.21/0.50 thf(f6,axiom,(
% 0.21/0.50 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X3 @ X2))) = mequiv)),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def)).
% 0.21/0.50 thf(f86,plain,(
% 0.21/0.50 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f70])).
% 0.21/0.50 thf(f70,plain,(
% 0.21/0.50 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.50 inference(fool_elimination,[],[f69])).
% 0.21/0.50 thf(f69,plain,(
% 0.21/0.50 (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : (X0 @ X2 @ X1))))),
% 0.21/0.50 inference(rectify,[],[f10])).
% 0.21/0.50 thf(f10,axiom,(
% 0.21/0.50 (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : (X1 @ X5 @ X2))))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def)).
% 0.21/0.50 thf(f93,plain,(
% 0.21/0.50 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.50 inference(cnf_transformation,[],[f64])).
% 0.21/0.50 thf(f64,plain,(
% 0.21/0.50 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.50 inference(fool_elimination,[],[f1])).
% 0.21/0.50 thf(f1,axiom,(
% 0.21/0.50 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.21/0.50 thf(f98,plain,(
% 0.21/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))) = $true)),
% 0.21/0.50 inference(cnf_transformation,[],[f72])).
% 0.21/0.50 thf(f72,plain,(
% 0.21/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))) = $true)),
% 0.21/0.50 inference(fool_elimination,[],[f71])).
% 0.21/0.50 thf(f71,plain,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (subset @ X0 @ X1) @ (mforall_di @ (^[X2 : $i] : (mimplies @ (member @ X2 @ X0) @ (member @ X2 @ X1))))))))))),
% 0.21/0.50 inference(rectify,[],[f23])).
% 0.21/0.50 thf(f23,axiom,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X3 : $i] : (mforall_di @ (^[X8 : $i] : (mequiv @ (subset @ X3 @ X8) @ (mforall_di @ (^[X9 : $i] : (mimplies @ (member @ X9 @ X3) @ (member @ X9 @ X8))))))))))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn)).
% 0.21/0.50 thf(f129,plain,(
% 0.21/0.50 ( ! [X1 : $i] : ((((member @ X1 @ sK2 @ mactual) = ((~ (member @ X1 @ sK4 @ mactual)) & (member @ X1 @ sK3 @ mactual))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f128])).
% 0.21/0.50 thf(f128,plain,(
% 0.21/0.50 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) = ((~ (member @ Y0 @ sK4 @ mactual)) & (member @ Y0 @ sK3 @ mactual)))) @ X1) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f127])).
% 0.21/0.50 thf(f127,plain,(
% 0.21/0.50 ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) = ((~ (member @ Y0 @ sK4 @ mactual)) & (member @ Y0 @ sK3 @ mactual))))) = $true)),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f125])).
% 0.21/0.50 thf(f125,plain,(
% 0.21/0.50 ($false = ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) = ((~ (member @ Y0 @ sK4 @ mactual)) & (member @ Y0 @ sK3 @ mactual))))) => (qmltpeq @ sK2 @ (difference @ sK3 @ sK4) @ mactual)))),
% 0.21/0.50 inference(beta_eta_normalization,[],[f124])).
% 0.21/0.50 thf(f124,plain,(
% 0.21/0.50 ($false = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ sK2 @ mactual) = ((~ (member @ Y1 @ Y0 @ mactual)) & (member @ Y1 @ sK3 @ mactual))))) => (qmltpeq @ sK2 @ (difference @ sK3 @ Y0) @ mactual))) @ sK4))),
% 0.21/0.50 inference(sigma_clausification,[],[f123])).
% 0.21/0.50 thf(f123,plain,(
% 0.21/0.50 ($false = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ sK2 @ mactual) = ((~ (member @ Y1 @ Y0 @ mactual)) & (member @ Y1 @ sK3 @ mactual))))) => (qmltpeq @ sK2 @ (difference @ sK3 @ Y0) @ mactual)))))),
% 0.21/0.50 inference(beta_eta_normalization,[],[f122])).
% 0.21/0.50 thf(f122,plain,(
% 0.21/0.50 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ sK2 @ mactual) = ((~ (member @ Y2 @ Y1 @ mactual)) & (member @ Y2 @ Y0 @ mactual))))) => (qmltpeq @ sK2 @ (difference @ Y0 @ Y1) @ mactual))))) @ sK3))),
% 0.21/0.50 inference(sigma_clausification,[],[f121])).
% 0.21/0.50 thf(f121,plain,(
% 0.21/0.50 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ sK2 @ mactual) = ((~ (member @ Y2 @ Y1 @ mactual)) & (member @ Y2 @ Y0 @ mactual))))) => (qmltpeq @ sK2 @ (difference @ Y0 @ Y1) @ mactual)))))))),
% 0.21/0.50 inference(beta_eta_normalization,[],[f120])).
% 0.21/0.50 thf(f120,plain,(
% 0.21/0.50 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((member @ Y3 @ Y0 @ mactual) = ((~ (member @ Y3 @ Y2 @ mactual)) & (member @ Y3 @ Y1 @ mactual))))) => (qmltpeq @ Y0 @ (difference @ Y1 @ Y2) @ mactual))))))) @ sK2))),
% 0.21/0.50 inference(sigma_clausification,[],[f119])).
% 0.21/0.50 thf(f119,plain,(
% 0.21/0.50 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((member @ Y3 @ Y0 @ mactual) = ((~ (member @ Y3 @ Y2 @ mactual)) & (member @ Y3 @ Y1 @ mactual))))) => (qmltpeq @ Y0 @ (difference @ Y1 @ Y2) @ mactual)))))))) != $true)),
% 0.21/0.50 inference(beta_eta_normalization,[],[f112])).
% 0.21/0.50 thf(f112,plain,(
% 0.21/0.50 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (!! @ $i @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) = (Y5 @ Y6))))))) @ (member @ Y3 @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ (member @ Y3 @ Y1) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (~ (Y4 @ Y5))))) @ (member @ Y3 @ Y2)))))) @ (qmltpeq @ Y0 @ (difference @ Y1 @ Y2)))))))))) != $true)),
% 0.21/0.50 inference(definition_unfolding,[],[f96,f93,f86,f86,f86,f101,f86,f84,f90,f87])).
% 0.21/0.50 thf(f87,plain,(
% 0.21/0.50 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f35])).
% 0.21/0.50 thf(f35,plain,(
% 0.21/0.50 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.21/0.50 inference(fool_elimination,[],[f34])).
% 0.21/0.50 thf(f34,plain,(
% 0.21/0.50 (mnot = (^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))))),
% 0.21/0.50 inference(rectify,[],[f2])).
% 0.21/0.50 thf(f2,axiom,(
% 0.21/0.50 (mnot = (^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def)).
% 0.21/0.50 thf(f90,plain,(
% 0.21/0.50 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f51])).
% 0.21/0.50 thf(f51,plain,(
% 0.21/0.50 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f50])).
% 0.21/0.50 thf(f50,plain,(
% 0.21/0.50 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))))),
% 0.21/0.50 inference(rectify,[],[f3])).
% 0.21/0.50 thf(f3,axiom,(
% 0.21/0.50 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def)).
% 0.21/0.50 thf(f96,plain,(
% 0.21/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mforall_di @ (^[Y3 : $i]: (mequiv @ (member @ Y3 @ Y0) @ (mand @ (member @ Y3 @ Y1) @ (mnot @ (member @ Y3 @ Y2)))))) @ (qmltpeq @ Y0 @ (difference @ Y1 @ Y2)))))))))) != $true)),
% 0.21/0.50 inference(cnf_transformation,[],[f77])).
% 0.21/0.50 thf(f77,plain,(
% 0.21/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mforall_di @ (^[Y3 : $i]: (mequiv @ (member @ Y3 @ Y0) @ (mand @ (member @ Y3 @ Y1) @ (mnot @ (member @ Y3 @ Y2)))))) @ (qmltpeq @ Y0 @ (difference @ Y1 @ Y2)))))))))) != $true)),
% 0.21/0.50 inference(flattening,[],[f29])).
% 0.21/0.50 thf(f29,plain,(
% 0.21/0.50 ~((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mforall_di @ (^[Y3 : $i]: (mequiv @ (member @ Y3 @ Y0) @ (mand @ (member @ Y3 @ Y1) @ (mnot @ (member @ Y3 @ Y2)))))) @ (qmltpeq @ Y0 @ (difference @ Y1 @ Y2)))))))))) = $true)),
% 0.21/0.50 inference(fool_elimination,[],[f28])).
% 0.21/0.50 thf(f28,plain,(
% 0.21/0.50 ~(mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mimplies @ (mforall_di @ (^[X3 : $i] : (mequiv @ (member @ X3 @ X0) @ (mand @ (member @ X3 @ X1) @ (mnot @ (member @ X3 @ X2)))))) @ (qmltpeq @ X0 @ (difference @ X1 @ X2))))))))))),
% 0.21/0.50 inference(rectify,[],[f26])).
% 0.21/0.50 thf(f26,negated_conjecture,(
% 0.21/0.50 ~(mlocal @ (mforall_di @ (^[X3 : $i] : (mforall_di @ (^[X8 : $i] : (mforall_di @ (^[X9 : $i] : (mimplies @ (mforall_di @ (^[X10 : $i] : (mequiv @ (member @ X10 @ X3) @ (mand @ (member @ X10 @ X8) @ (mnot @ (member @ X10 @ X9)))))) @ (qmltpeq @ X3 @ (difference @ X8 @ X9))))))))))),
% 0.21/0.50 inference(negated_conjecture,[],[f25])).
% 0.21/0.50 thf(f25,conjecture,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X3 : $i] : (mforall_di @ (^[X8 : $i] : (mforall_di @ (^[X9 : $i] : (mimplies @ (mforall_di @ (^[X10 : $i] : (mequiv @ (member @ X10 @ X3) @ (mand @ (member @ X10 @ X8) @ (mnot @ (member @ X10 @ X9)))))) @ (qmltpeq @ X3 @ (difference @ X8 @ X9))))))))))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th20)).
% 0.21/0.50 thf(f539,plain,(
% 0.21/0.50 ($true = (member @ sK8 @ sK4 @ mactual)) | ~spl1_8),
% 0.21/0.50 inference(avatar_component_clause,[],[f537])).
% 0.21/0.50 thf(f537,plain,(
% 0.21/0.50 spl1_8 <=> ($true = (member @ sK8 @ sK4 @ mactual))),
% 0.21/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 0.21/0.50 thf(f584,plain,(
% 0.21/0.50 ~spl1_2 | ~spl1_7),
% 0.21/0.50 inference(avatar_contradiction_clause,[],[f583])).
% 0.21/0.50 thf(f583,plain,(
% 0.21/0.50 $false | (~spl1_2 | ~spl1_7)),
% 0.21/0.50 inference(trivial_inequality_removal,[],[f582])).
% 0.21/0.50 thf(f582,plain,(
% 0.21/0.50 ($false = $true) | (~spl1_2 | ~spl1_7)),
% 0.21/0.50 inference(forward_demodulation,[],[f516,f535])).
% 0.21/0.50 thf(f535,plain,(
% 0.21/0.50 ($false = (member @ sK8 @ sK3 @ mactual)) | ~spl1_7),
% 0.21/0.50 inference(avatar_component_clause,[],[f533])).
% 0.21/0.50 thf(f533,plain,(
% 0.21/0.50 spl1_7 <=> ($false = (member @ sK8 @ sK3 @ mactual))),
% 0.21/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
% 0.21/0.50 thf(f516,plain,(
% 0.21/0.50 ($true = (member @ sK8 @ sK3 @ mactual)) | ~spl1_2),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f515])).
% 0.21/0.50 thf(f540,plain,(
% 0.21/0.50 spl1_7 | spl1_8 | ~spl1_2),
% 0.21/0.50 inference(avatar_split_clause,[],[f529,f259,f537,f533])).
% 0.21/0.50 thf(f529,plain,(
% 0.21/0.50 ($true = (member @ sK8 @ sK4 @ mactual)) | ($false = (member @ sK8 @ sK3 @ mactual)) | ~spl1_2),
% 0.21/0.50 inference(not_proxy_clausification,[],[f528])).
% 0.21/0.50 thf(f528,plain,(
% 0.21/0.50 ($false = (~ (member @ sK8 @ sK4 @ mactual))) | ($false = (member @ sK8 @ sK3 @ mactual)) | ~spl1_2),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f527])).
% 0.21/0.50 thf(f527,plain,(
% 0.21/0.50 ($false = ((~ (member @ sK8 @ sK4 @ mactual)) & (member @ sK8 @ sK3 @ mactual))) | ~spl1_2),
% 0.21/0.50 inference(not_proxy_clausification,[],[f526])).
% 0.21/0.50 thf(f526,plain,(
% 0.21/0.50 ($true = (~ ((~ (member @ sK8 @ sK4 @ mactual)) & (member @ sK8 @ sK3 @ mactual)))) | ~spl1_2),
% 0.21/0.50 inference(boolean_simplification,[],[f520])).
% 0.21/0.50 thf(f520,plain,(
% 0.21/0.50 ($true = ($false = ((~ (member @ sK8 @ sK4 @ mactual)) & (member @ sK8 @ sK3 @ mactual)))) | ~spl1_2),
% 0.21/0.50 inference(superposition,[],[f136,f500])).
% 0.21/0.50 thf(f500,plain,(
% 0.21/0.50 ($false = (member @ sK8 @ (difference @ sK3 @ sK4) @ mactual)) | ~spl1_2),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f499])).
% 0.21/0.50 thf(f136,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((member @ X3 @ (difference @ X1 @ X2) @ mactual) = ((~ (member @ X3 @ X2 @ mactual)) & (member @ X3 @ X1 @ mactual))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f135])).
% 0.21/0.50 thf(f135,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((member @ Y0 @ (difference @ X1 @ X2) @ mactual) = ((~ (member @ Y0 @ X2 @ mactual)) & (member @ Y0 @ X1 @ mactual)))) @ X3) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f134])).
% 0.21/0.50 thf(f134,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (difference @ X1 @ X2) @ mactual) = ((~ (member @ Y0 @ X2 @ mactual)) & (member @ Y0 @ X1 @ mactual))))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f133])).
% 0.21/0.50 thf(f133,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ (difference @ X1 @ Y0) @ mactual) = ((~ (member @ Y1 @ Y0 @ mactual)) & (member @ Y1 @ X1 @ mactual)))))) @ X2) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f132])).
% 0.21/0.50 thf(f132,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ (difference @ X1 @ Y0) @ mactual) = ((~ (member @ Y1 @ Y0 @ mactual)) & (member @ Y1 @ X1 @ mactual))))))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f131])).
% 0.21/0.50 thf(f131,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ (difference @ Y0 @ Y1) @ mactual) = ((~ (member @ Y2 @ Y1 @ mactual)) & (member @ Y2 @ Y0 @ mactual)))))))) @ X1))) )),
% 0.21/0.50 inference(pi_clausification,[],[f130])).
% 0.21/0.50 thf(f130,plain,(
% 0.21/0.50 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ (difference @ Y0 @ Y1) @ mactual) = ((~ (member @ Y2 @ Y1 @ mactual)) & (member @ Y2 @ Y0 @ mactual))))))))) = $true)),
% 0.21/0.50 inference(beta_eta_normalization,[],[f116])).
% 0.21/0.50 thf(f116,plain,(
% 0.21/0.50 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) = (Y4 @ Y5))))))) @ (member @ Y2 @ (difference @ Y0 @ Y1)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y4 @ Y5) & (Y3 @ Y5))))))) @ (member @ Y2 @ Y0) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (~ (Y3 @ Y4))))) @ (member @ Y2 @ Y1))))))))))) = $true)),
% 0.21/0.50 inference(definition_unfolding,[],[f100,f93,f86,f86,f86,f84,f90,f87])).
% 0.21/0.50 thf(f100,plain,(
% 0.21/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y2 @ (difference @ Y0 @ Y1)) @ (mand @ (member @ Y2 @ Y0) @ (mnot @ (member @ Y2 @ Y1))))))))))) = $true)),
% 0.21/0.50 inference(cnf_transformation,[],[f43])).
% 0.21/0.50 thf(f43,plain,(
% 0.21/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y2 @ (difference @ Y0 @ Y1)) @ (mand @ (member @ Y2 @ Y0) @ (mnot @ (member @ Y2 @ Y1))))))))))) = $true)),
% 0.21/0.50 inference(fool_elimination,[],[f42])).
% 0.21/0.50 thf(f42,plain,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mequiv @ (member @ X2 @ (difference @ X0 @ X1)) @ (mand @ (member @ X2 @ X0) @ (mnot @ (member @ X2 @ X1)))))))))))),
% 0.21/0.50 inference(rectify,[],[f21])).
% 0.21/0.50 thf(f21,axiom,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X3 : $i] : (mforall_di @ (^[X8 : $i] : (mforall_di @ (^[X9 : $i] : (mequiv @ (member @ X9 @ (difference @ X3 @ X8)) @ (mand @ (member @ X9 @ X3) @ (mnot @ (member @ X9 @ X8)))))))))))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)).
% 0.21/0.50 thf(f491,plain,(
% 0.21/0.50 ~spl1_1),
% 0.21/0.50 inference(avatar_contradiction_clause,[],[f490])).
% 0.21/0.50 thf(f490,plain,(
% 0.21/0.50 $false | ~spl1_1),
% 0.21/0.50 inference(trivial_inequality_removal,[],[f489])).
% 0.21/0.50 thf(f489,plain,(
% 0.21/0.50 ($false = $true) | ~spl1_1),
% 0.21/0.50 inference(forward_demodulation,[],[f459,f446])).
% 0.21/0.50 thf(f446,plain,(
% 0.21/0.50 ($false = (member @ sK7 @ sK4 @ mactual)) | ~spl1_1),
% 0.21/0.50 inference(not_proxy_clausification,[],[f445])).
% 0.21/0.50 thf(f445,plain,(
% 0.21/0.50 ((~ (member @ sK7 @ sK4 @ mactual)) = $true) | ~spl1_1),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f443])).
% 0.21/0.50 thf(f443,plain,(
% 0.21/0.50 ($true = ((~ (member @ sK7 @ sK4 @ mactual)) & (member @ sK7 @ sK3 @ mactual))) | ~spl1_1),
% 0.21/0.50 inference(boolean_simplification,[],[f436])).
% 0.21/0.50 thf(f436,plain,(
% 0.21/0.50 (($true = ((~ (member @ sK7 @ sK4 @ mactual)) & (member @ sK7 @ sK3 @ mactual))) = $true) | ~spl1_1),
% 0.21/0.50 inference(superposition,[],[f136,f399])).
% 0.21/0.50 thf(f399,plain,(
% 0.21/0.50 ($true = (member @ sK7 @ (difference @ sK3 @ sK4) @ mactual)) | ~spl1_1),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f397])).
% 0.21/0.50 thf(f397,plain,(
% 0.21/0.50 ($false = ((member @ sK7 @ (difference @ sK3 @ sK4) @ mactual) => (member @ sK7 @ sK2 @ mactual))) | ~spl1_1),
% 0.21/0.50 inference(beta_eta_normalization,[],[f396])).
% 0.21/0.50 thf(f396,plain,(
% 0.21/0.50 (((^[Y0 : $i]: ((member @ Y0 @ (difference @ sK3 @ sK4) @ mactual) => (member @ Y0 @ sK2 @ mactual))) @ sK7) = $false) | ~spl1_1),
% 0.21/0.50 inference(sigma_clausification,[],[f395])).
% 0.21/0.50 thf(f395,plain,(
% 0.21/0.50 ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (difference @ sK3 @ sK4) @ mactual) => (member @ Y0 @ sK2 @ mactual))))) | ~spl1_1),
% 0.21/0.50 inference(not_proxy_clausification,[],[f394])).
% 0.21/0.50 thf(f394,plain,(
% 0.21/0.50 ((~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (difference @ sK3 @ sK4) @ mactual) => (member @ Y0 @ sK2 @ mactual))))) = $true) | ~spl1_1),
% 0.21/0.50 inference(boolean_simplification,[],[f388])).
% 0.21/0.50 thf(f388,plain,(
% 0.21/0.50 (($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (difference @ sK3 @ sK4) @ mactual) => (member @ Y0 @ sK2 @ mactual))))) = $true) | ~spl1_1),
% 0.21/0.50 inference(superposition,[],[f182,f257])).
% 0.21/0.50 thf(f257,plain,(
% 0.21/0.50 ($false = (subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual)) | ~spl1_1),
% 0.21/0.50 inference(avatar_component_clause,[],[f255])).
% 0.21/0.50 thf(f255,plain,(
% 0.21/0.50 spl1_1 <=> ($false = (subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual))),
% 0.21/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.21/0.50 thf(f459,plain,(
% 0.21/0.50 ((member @ sK7 @ sK4 @ mactual) = $true) | ~spl1_1),
% 0.21/0.50 inference(boolean_simplification,[],[f458])).
% 0.21/0.50 thf(f458,plain,(
% 0.21/0.50 ($true = (~ (~ (member @ sK7 @ sK4 @ mactual)))) | ~spl1_1),
% 0.21/0.50 inference(boolean_simplification,[],[f457])).
% 0.21/0.50 thf(f457,plain,(
% 0.21/0.50 ($true = ($false = (~ (member @ sK7 @ sK4 @ mactual)))) | ~spl1_1),
% 0.21/0.50 inference(forward_demodulation,[],[f455,f398])).
% 0.21/0.50 thf(f398,plain,(
% 0.21/0.50 ($false = (member @ sK7 @ sK2 @ mactual)) | ~spl1_1),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f397])).
% 0.21/0.50 thf(f455,plain,(
% 0.21/0.50 ($true = ((member @ sK7 @ sK2 @ mactual) = (~ (member @ sK7 @ sK4 @ mactual)))) | ~spl1_1),
% 0.21/0.50 inference(boolean_simplification,[],[f448])).
% 0.21/0.50 thf(f448,plain,(
% 0.21/0.50 (((member @ sK7 @ sK2 @ mactual) = ((~ (member @ sK7 @ sK4 @ mactual)) & $true)) = $true) | ~spl1_1),
% 0.21/0.50 inference(superposition,[],[f129,f444])).
% 0.21/0.50 thf(f444,plain,(
% 0.21/0.50 ($true = (member @ sK7 @ sK3 @ mactual)) | ~spl1_1),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f443])).
% 0.21/0.50 thf(f271,plain,(
% 0.21/0.50 spl1_1 | spl1_2),
% 0.21/0.50 inference(avatar_split_clause,[],[f270,f259,f255])).
% 0.21/0.50 thf(f270,plain,(
% 0.21/0.50 ($false = (subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual)) | ((subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual) = $false)),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f269])).
% 0.21/0.50 thf(f269,plain,(
% 0.21/0.50 ($false = ((subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual) & (subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual)))),
% 0.21/0.50 inference(not_proxy_clausification,[],[f268])).
% 0.21/0.50 thf(f268,plain,(
% 0.21/0.50 ((~ ((subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual) & (subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual))) = $true)),
% 0.21/0.50 inference(boolean_simplification,[],[f264])).
% 0.21/0.50 thf(f264,plain,(
% 0.21/0.50 (($false = ((subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual) & (subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual))) = $true)),
% 0.21/0.50 inference(superposition,[],[f187,f231])).
% 0.21/0.50 thf(f231,plain,(
% 0.21/0.50 ((qmltpeq @ (difference @ sK3 @ sK4) @ sK2 @ mactual) = $false)),
% 0.21/0.50 inference(trivial_inequality_removal,[],[f229])).
% 0.21/0.50 thf(f229,plain,(
% 0.21/0.50 ((qmltpeq @ (difference @ sK3 @ sK4) @ sK2 @ mactual) = $false) | ($false = $true)),
% 0.21/0.50 inference(superposition,[],[f126,f151])).
% 0.21/0.50 thf(f151,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ X2 @ X1 @ mactual) = $true) | ($false = (qmltpeq @ X1 @ X2 @ mactual))) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f150])).
% 0.21/0.50 thf(f150,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((qmltpeq @ X1 @ X2 @ mactual) => (qmltpeq @ X2 @ X1 @ mactual)))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f149])).
% 0.21/0.50 thf(f149,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((qmltpeq @ X1 @ Y0 @ mactual) => (qmltpeq @ Y0 @ X1 @ mactual))) @ X2) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f148])).
% 0.21/0.50 thf(f148,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X1 @ Y0 @ mactual) => (qmltpeq @ Y0 @ X1 @ mactual)))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f147])).
% 0.21/0.50 thf(f147,plain,(
% 0.21/0.50 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ Y0 @ Y1 @ mactual) => (qmltpeq @ Y1 @ Y0 @ mactual))))) @ X1) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f146])).
% 0.21/0.50 thf(f146,plain,(
% 0.21/0.50 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ Y0 @ Y1 @ mactual) => (qmltpeq @ Y1 @ Y0 @ mactual)))))) = $true)),
% 0.21/0.50 inference(beta_eta_normalization,[],[f115])).
% 0.21/0.50 thf(f115,plain,(
% 0.21/0.50 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ (qmltpeq @ Y0 @ Y1) @ (qmltpeq @ Y1 @ Y0))))))))),
% 0.21/0.50 inference(definition_unfolding,[],[f99,f93,f86,f86,f101])).
% 0.21/0.50 thf(f99,plain,(
% 0.21/0.50 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mimplies @ (qmltpeq @ Y0 @ Y1) @ (qmltpeq @ Y1 @ Y0))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f68])).
% 0.21/0.50 thf(f68,plain,(
% 0.21/0.50 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mimplies @ (qmltpeq @ Y0 @ Y1) @ (qmltpeq @ Y1 @ Y0))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f67])).
% 0.21/0.50 thf(f67,plain,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mimplies @ (qmltpeq @ X0 @ X1) @ (qmltpeq @ X1 @ X0)))))))),
% 0.21/0.50 inference(rectify,[],[f13])).
% 0.21/0.50 thf(f13,axiom,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X5 : $i] : (mforall_di @ (^[X6 : $i] : (mimplies @ (qmltpeq @ X5 @ X6) @ (qmltpeq @ X6 @ X5)))))))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)).
% 0.21/0.50 thf(f126,plain,(
% 0.21/0.50 ($false = (qmltpeq @ sK2 @ (difference @ sK3 @ sK4) @ mactual))),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f125])).
% 0.21/0.50 thf(f187,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((qmltpeq @ X1 @ X2 @ mactual) = ((subset @ X2 @ X1 @ mactual) & (subset @ X1 @ X2 @ mactual))))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f186])).
% 0.21/0.50 thf(f186,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((qmltpeq @ X1 @ Y0 @ mactual) = ((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual)))) @ X2))) )),
% 0.21/0.50 inference(pi_clausification,[],[f185])).
% 0.21/0.50 thf(f185,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X1 @ Y0 @ mactual) = ((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual))))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f184])).
% 0.21/0.50 thf(f184,plain,(
% 0.21/0.50 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ Y0 @ Y1 @ mactual) = ((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual)))))) @ X1) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f183])).
% 0.21/0.50 thf(f183,plain,(
% 0.21/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ Y0 @ Y1 @ mactual) = ((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual))))))))),
% 0.21/0.50 inference(beta_eta_normalization,[],[f105])).
% 0.21/0.50 thf(f105,plain,(
% 0.21/0.50 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (qmltpeq @ Y0 @ Y1) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 0.21/0.50 inference(definition_unfolding,[],[f80,f93,f86,f86,f84,f90])).
% 0.21/0.50 thf(f80,plain,(
% 0.21/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))) = $true)),
% 0.21/0.50 inference(cnf_transformation,[],[f57])).
% 0.21/0.50 thf(f57,plain,(
% 0.21/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))) = $true)),
% 0.21/0.50 inference(fool_elimination,[],[f56])).
% 0.21/0.50 thf(f56,plain,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (qmltpeq @ X0 @ X1) @ (mand @ (subset @ X0 @ X1) @ (subset @ X1 @ X0))))))))),
% 0.21/0.50 inference(rectify,[],[f22])).
% 0.21/0.50 thf(f22,axiom,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X3 : $i] : (mforall_di @ (^[X8 : $i] : (mequiv @ (qmltpeq @ X3 @ X8) @ (mand @ (subset @ X3 @ X8) @ (subset @ X8 @ X3))))))))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn)).
% 0.21/0.50 % SZS output end Proof for theBenchmark
% 0.21/0.50 % (19117)------------------------------
% 0.21/0.50 % (19117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (19117)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (19117)Memory used [KB]: 6140
% 0.21/0.50 % (19117)Time elapsed: 0.052 s
% 0.21/0.50 % (19117)Instructions burned: 74 (million)
% 0.21/0.50 % (19117)------------------------------
% 0.21/0.50 % (19117)------------------------------
% 0.21/0.50 % (19083)Success in time 0.154 s
% 0.21/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------