TSTP Solution File: SEU586^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU586^1 : TPTP v8.2.0. Released v3.7.0.
% 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 : n032.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 03:49:46 EDT 2024
% Result : Theorem 0.17s 0.42s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU586^1 : TPTP v8.2.0. Released v3.7.0.
% 0.02/0.11 % 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
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 16:00:07 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a TH0_THM_EQU_NAR problem
% 0.17/0.31 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
% 0.17/0.33 % (31064)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)
% 0.17/0.33 % (31063)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)
% 0.17/0.33 % (31062)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.33 % (31063)Instruction limit reached!
% 0.17/0.33 % (31063)------------------------------
% 0.17/0.33 % (31063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33 % (31063)Termination reason: Unknown
% 0.17/0.33 % (31063)Termination phase: shuffling
% 0.17/0.33
% 0.17/0.33 % (31063)Memory used [KB]: 1151
% 0.17/0.33 % (31063)Time elapsed: 0.003 s
% 0.17/0.33 % (31063)Instructions burned: 4 (million)
% 0.17/0.33 % (31063)------------------------------
% 0.17/0.33 % (31063)------------------------------
% 0.17/0.33 % (31066)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)
% 0.17/0.33 % (31062)Instruction limit reached!
% 0.17/0.33 % (31062)------------------------------
% 0.17/0.33 % (31062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33 % (31062)Termination reason: Unknown
% 0.17/0.33 % (31062)Termination phase: shuffling
% 0.17/0.33
% 0.17/0.33 % (31062)Memory used [KB]: 1151
% 0.17/0.33 % (31062)Time elapsed: 0.003 s
% 0.17/0.33 % (31062)Instructions burned: 4 (million)
% 0.17/0.33 % (31062)------------------------------
% 0.17/0.33 % (31062)------------------------------
% 0.17/0.33 % (31059)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.17/0.33 % (31066)Instruction limit reached!
% 0.17/0.33 % (31066)------------------------------
% 0.17/0.33 % (31066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33 % (31066)Termination reason: Unknown
% 0.17/0.33 % (31066)Termination phase: shuffling
% 0.17/0.33
% 0.17/0.33 % (31066)Memory used [KB]: 1151
% 0.17/0.33 % (31066)Time elapsed: 0.003 s
% 0.17/0.33 % (31066)Instructions burned: 5 (million)
% 0.17/0.33 % (31066)------------------------------
% 0.17/0.33 % (31066)------------------------------
% 0.17/0.33 % (31060)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)
% 0.17/0.33 % (31060)Instruction limit reached!
% 0.17/0.33 % (31060)------------------------------
% 0.17/0.33 % (31060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33 % (31060)Termination reason: Unknown
% 0.17/0.33 % (31060)Termination phase: shuffling
% 0.17/0.33
% 0.17/0.33 % (31060)Memory used [KB]: 1151
% 0.17/0.33 % (31060)Time elapsed: 0.004 s
% 0.17/0.33 % (31060)Instructions burned: 5 (million)
% 0.17/0.33 % (31060)------------------------------
% 0.17/0.33 % (31060)------------------------------
% 0.17/0.34 % (31065)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.34 % (31061)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)
% 0.17/0.34 % (31067)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)
% 0.17/0.34 % (31068)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)
% 0.17/0.34 % (31068)Instruction limit reached!
% 0.17/0.34 % (31068)------------------------------
% 0.17/0.34 % (31068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.34 % (31068)Termination reason: Unknown
% 0.17/0.34 % (31068)Termination phase: Preprocessing 3
% 0.17/0.34
% 0.17/0.34 % (31068)Memory used [KB]: 1535
% 0.17/0.34 % (31068)Time elapsed: 0.007 s
% 0.17/0.34 % (31068)Instructions burned: 16 (million)
% 0.17/0.34 % (31068)------------------------------
% 0.17/0.34 % (31068)------------------------------
% 0.17/0.35 % (31065)Instruction limit reached!
% 0.17/0.35 % (31065)------------------------------
% 0.17/0.35 % (31065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (31065)Termination reason: Unknown
% 0.17/0.35 % (31065)Termination phase: Preprocessing 3
% 0.17/0.35
% 0.17/0.35 % (31065)Memory used [KB]: 1663
% 0.17/0.35 % (31065)Time elapsed: 0.011 s
% 0.17/0.35 % (31065)Instructions burned: 19 (million)
% 0.17/0.35 % (31065)------------------------------
% 0.17/0.35 % (31065)------------------------------
% 0.17/0.35 % (31070)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)
% 0.17/0.35 % (31061)Instruction limit reached!
% 0.17/0.35 % (31061)------------------------------
% 0.17/0.35 % (31061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (31061)Termination reason: Unknown
% 0.17/0.35 % (31061)Termination phase: Property scanning
% 0.17/0.35
% 0.17/0.35 % (31061)Memory used [KB]: 1535
% 0.17/0.35 % (31061)Time elapsed: 0.011 s
% 0.17/0.35 % (31061)Instructions burned: 29 (million)
% 0.17/0.35 % (31061)------------------------------
% 0.17/0.35 % (31061)------------------------------
% 0.17/0.35 % (31069)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)
% 0.17/0.35 % (31069)Instruction limit reached!
% 0.17/0.35 % (31069)------------------------------
% 0.17/0.35 % (31069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (31069)Termination reason: Unknown
% 0.17/0.35 % (31069)Termination phase: shuffling
% 0.17/0.35
% 0.17/0.35 % (31069)Memory used [KB]: 1151
% 0.17/0.35 % (31069)Time elapsed: 0.002 s
% 0.17/0.35 % (31069)Instructions burned: 3 (million)
% 0.17/0.35 % (31069)------------------------------
% 0.17/0.35 % (31069)------------------------------
% 0.17/0.35 % (31071)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.35 % (31067)Instruction limit reached!
% 0.17/0.35 % (31067)------------------------------
% 0.17/0.35 % (31067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (31067)Termination reason: Unknown
% 0.17/0.35 % (31067)Termination phase: Function definition elimination
% 0.17/0.35
% 0.17/0.35 % (31067)Memory used [KB]: 1535
% 0.17/0.35 % (31067)Time elapsed: 0.016 s
% 0.17/0.35 % (31067)Instructions burned: 39 (million)
% 0.17/0.35 % (31067)------------------------------
% 0.17/0.35 % (31067)------------------------------
% 0.17/0.36 % (31071)Instruction limit reached!
% 0.17/0.36 % (31071)------------------------------
% 0.17/0.36 % (31071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (31071)Termination reason: Unknown
% 0.17/0.36 % (31071)Termination phase: shuffling
% 0.17/0.36
% 0.17/0.36 % (31071)Memory used [KB]: 1279
% 0.17/0.36 % (31071)Time elapsed: 0.003 s
% 0.17/0.36 % (31071)Instructions burned: 7 (million)
% 0.17/0.36 % (31071)------------------------------
% 0.17/0.36 % (31071)------------------------------
% 0.17/0.36 % (31072)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.36 % (31073)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)
% 0.17/0.36 % (31073)Instruction limit reached!
% 0.17/0.36 % (31073)------------------------------
% 0.17/0.36 % (31073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (31073)Termination reason: Unknown
% 0.17/0.36 % (31073)Termination phase: shuffling
% 0.17/0.36
% 0.17/0.36 % (31073)Memory used [KB]: 1151
% 0.17/0.36 % (31073)Time elapsed: 0.002 s
% 0.17/0.36 % (31073)Instructions burned: 4 (million)
% 0.17/0.36 % (31072)Instruction limit reached!
% 0.17/0.36 % (31072)------------------------------
% 0.17/0.36 % (31072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (31072)Termination reason: Unknown
% 0.17/0.36 % (31072)Termination phase: Property scanning
% 0.17/0.36
% 0.17/0.36 % (31072)Memory used [KB]: 1407
% 0.17/0.36 % (31072)Time elapsed: 0.007 s
% 0.17/0.36 % (31072)Instructions burned: 17 (million)
% 0.17/0.36 % (31072)------------------------------
% 0.17/0.36 % (31072)------------------------------
% 0.17/0.36 % (31073)------------------------------
% 0.17/0.36 % (31073)------------------------------
% 0.17/0.36 % (31076)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)
% 0.17/0.36 % (31076)Instruction limit reached!
% 0.17/0.36 % (31076)------------------------------
% 0.17/0.36 % (31076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (31076)Termination reason: Unknown
% 0.17/0.36 % (31076)Termination phase: shuffling
% 0.17/0.36
% 0.17/0.36 % (31076)Memory used [KB]: 1151
% 0.17/0.36 % (31076)Time elapsed: 0.002 s
% 0.17/0.36 % (31076)Instructions burned: 4 (million)
% 0.17/0.36 % (31076)------------------------------
% 0.17/0.36 % (31076)------------------------------
% 0.17/0.37 % (31074)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)
% 0.17/0.37 % (31074)Instruction limit reached!
% 0.17/0.37 % (31074)------------------------------
% 0.17/0.37 % (31074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (31074)Termination reason: Unknown
% 0.17/0.37 % (31074)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (31074)Memory used [KB]: 1151
% 0.17/0.37 % (31074)Time elapsed: 0.003 s
% 0.17/0.37 % (31074)Instructions burned: 3 (million)
% 0.17/0.37 % (31074)------------------------------
% 0.17/0.37 % (31074)------------------------------
% 0.17/0.37 % (31077)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.37 % (31078)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)
% 0.17/0.37 % (31077)Instruction limit reached!
% 0.17/0.37 % (31077)------------------------------
% 0.17/0.37 % (31077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (31077)Termination reason: Unknown
% 0.17/0.37 % (31077)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (31077)Memory used [KB]: 1151
% 0.17/0.37 % (31077)Time elapsed: 0.002 s
% 0.17/0.37 % (31077)Instructions burned: 4 (million)
% 0.17/0.37 % (31077)------------------------------
% 0.17/0.37 % (31077)------------------------------
% 0.17/0.37 % (31079)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.17/0.38 % (31078)Instruction limit reached!
% 0.17/0.38 % (31078)------------------------------
% 0.17/0.38 % (31078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (31078)Termination reason: Unknown
% 0.17/0.38 % (31078)Termination phase: Property scanning
% 0.17/0.38
% 0.17/0.38 % (31078)Memory used [KB]: 1407
% 0.17/0.38 % (31078)Time elapsed: 0.007 s
% 0.17/0.38 % (31078)Instructions burned: 21 (million)
% 0.17/0.38 % (31078)------------------------------
% 0.17/0.38 % (31078)------------------------------
% 0.17/0.38 % (31081)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)
% 0.17/0.38 % (31075)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)
% 0.17/0.38 % (31075)Instruction limit reached!
% 0.17/0.38 % (31075)------------------------------
% 0.17/0.38 % (31075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (31075)Termination reason: Unknown
% 0.17/0.38 % (31075)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (31080)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.38 % (31075)Memory used [KB]: 1279
% 0.17/0.38 % (31075)Time elapsed: 0.005 s
% 0.17/0.38 % (31075)Instructions burned: 8 (million)
% 0.17/0.38 % (31075)------------------------------
% 0.17/0.38 % (31075)------------------------------
% 0.17/0.39 % (31080)Instruction limit reached!
% 0.17/0.39 % (31080)------------------------------
% 0.17/0.39 % (31080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (31080)Termination reason: Unknown
% 0.17/0.39 % (31080)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (31080)Memory used [KB]: 1279
% 0.17/0.39 % (31080)Time elapsed: 0.003 s
% 0.17/0.39 % (31080)Instructions burned: 7 (million)
% 0.17/0.39 % (31080)------------------------------
% 0.17/0.39 % (31080)------------------------------
% 0.17/0.39 % (31082)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)
% 0.17/0.39 % (31084)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.40 % (31084)Instruction limit reached!
% 0.17/0.40 % (31084)------------------------------
% 0.17/0.40 % (31084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (31084)Termination reason: Unknown
% 0.17/0.40 % (31084)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (31084)Memory used [KB]: 1279
% 0.17/0.40 % (31084)Time elapsed: 0.003 s
% 0.17/0.40 % (31084)Instructions burned: 7 (million)
% 0.17/0.40 % (31084)------------------------------
% 0.17/0.40 % (31084)------------------------------
% 0.17/0.40 % (31083)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.17/0.40 % (31083)Instruction limit reached!
% 0.17/0.40 % (31083)------------------------------
% 0.17/0.40 % (31083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (31083)Termination reason: Unknown
% 0.17/0.40 % (31083)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (31083)Memory used [KB]: 1279
% 0.17/0.40 % (31083)Time elapsed: 0.004 s
% 0.17/0.40 % (31083)Instructions burned: 6 (million)
% 0.17/0.40 % (31083)------------------------------
% 0.17/0.40 % (31083)------------------------------
% 0.17/0.40 % (31059)Instruction limit reached!
% 0.17/0.40 % (31059)------------------------------
% 0.17/0.40 % (31059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (31059)Termination reason: Unknown
% 0.17/0.40 % (31059)Termination phase: Saturation
% 0.17/0.40
% 0.17/0.40 % (31059)Memory used [KB]: 7036
% 0.17/0.40 % (31059)Time elapsed: 0.074 s
% 0.17/0.40 % (31059)Instructions burned: 184 (million)
% 0.17/0.40 % (31059)------------------------------
% 0.17/0.40 % (31059)------------------------------
% 0.17/0.40 % (31082)Instruction limit reached!
% 0.17/0.40 % (31082)------------------------------
% 0.17/0.40 % (31082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (31082)Termination reason: Unknown
% 0.17/0.40 % (31082)Termination phase: Property scanning
% 0.17/0.40
% 0.17/0.40 % (31082)Memory used [KB]: 1407
% 0.17/0.40 % (31082)Time elapsed: 0.012 s
% 0.17/0.40 % (31082)Instructions burned: 21 (million)
% 0.17/0.40 % (31082)------------------------------
% 0.17/0.40 % (31082)------------------------------
% 0.17/0.41 % (31085)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.17/0.41 % (31087)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.17/0.41 % (31086)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.17/0.42 % (31087)Instruction limit reached!
% 0.17/0.42 % (31087)------------------------------
% 0.17/0.42 % (31087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (31087)Termination reason: Unknown
% 0.17/0.42 % (31087)Termination phase: Property scanning
% 0.17/0.42
% 0.17/0.42 % (31087)Memory used [KB]: 1407
% 0.17/0.42 % (31087)Time elapsed: 0.008 s
% 0.17/0.42 % (31087)Instructions burned: 22 (million)
% 0.17/0.42 % (31087)------------------------------
% 0.17/0.42 % (31087)------------------------------
% 0.17/0.42 % (31088)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.17/0.42 % (31081)First to succeed.
% 0.17/0.42 % (31081)Refutation found. Thanks to Tanya!
% 0.17/0.42 % SZS status Theorem for theBenchmark
% 0.17/0.42 % SZS output start Proof for theBenchmark
% 0.17/0.42 thf(func_def_0, type, in: $i > $i > $o).
% 0.17/0.42 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.17/0.42 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.17/0.42 thf(func_def_8, type, powerset: $i > $i).
% 0.17/0.42 thf(func_def_10, type, setunion: $i > $i).
% 0.17/0.42 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.17/0.42 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.17/0.42 thf(func_def_26, type, prop2set: $o > $i).
% 0.17/0.42 thf(func_def_36, type, nonempty: $i > $o).
% 0.17/0.42 thf(func_def_69, type, set2prop: $i > $o).
% 0.17/0.42 thf(func_def_88, type, subset: $i > $i > $o).
% 0.17/0.42 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.17/0.42 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.17/0.42 thf(func_def_114, type, binunion: $i > $i > $i).
% 0.17/0.42 thf(func_def_131, type, sP0: $i > $i > $o).
% 0.17/0.42 thf(func_def_132, type, sP1: $i > $o).
% 0.17/0.42 thf(func_def_133, type, sP2: $i > $i > $o).
% 0.17/0.42 thf(func_def_134, type, sP3: $i > $i > $o).
% 0.17/0.42 thf(func_def_141, type, sK10: $i > $o).
% 0.17/0.42 thf(func_def_142, type, sK11: $i > $o).
% 0.17/0.42 thf(func_def_143, type, sK12: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.17/0.42 thf(func_def_144, type, sK13: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.17/0.42 thf(func_def_148, type, sK17: $i > $i > $i).
% 0.17/0.42 thf(func_def_153, type, sK22: $i > $o).
% 0.17/0.42 thf(func_def_156, type, sK25: $i > ($i > $o) > $i).
% 0.17/0.42 thf(func_def_157, type, sK26: $i > $o).
% 0.17/0.42 thf(func_def_158, type, sK27: $i > $i).
% 0.17/0.42 thf(func_def_159, type, sK28: ($i > $o) > $i).
% 0.17/0.42 thf(func_def_164, type, sK33: $i > $o).
% 0.17/0.42 thf(func_def_166, type, sK35: ($i > $o) > $i > $i).
% 0.17/0.42 thf(func_def_170, type, sK39: $i > $i).
% 0.17/0.42 thf(func_def_171, type, sK40: $i > $i).
% 0.17/0.42 thf(func_def_173, type, sK42: $i > $i > $i).
% 0.17/0.42 thf(func_def_174, type, sK43: $i > $i > $i).
% 0.17/0.42 thf(func_def_175, type, sK44: $i > $i > $i).
% 0.17/0.42 thf(func_def_176, type, sK45: $i > $i > $i).
% 0.17/0.42 thf(func_def_177, type, sK46: $i > $i > $i).
% 0.17/0.42 thf(func_def_178, type, sK47: $i > $i > $i > $i).
% 0.17/0.42 thf(func_def_179, type, sK48: $i > $i).
% 0.17/0.42 thf(func_def_180, type, sK49: $i > $i).
% 0.17/0.42 thf(func_def_181, type, sK50: $i > $i).
% 0.17/0.42 thf(func_def_182, type, sK51: $i > $i).
% 0.17/0.42 thf(func_def_183, type, sK52: $i > $i > $i > $i).
% 0.17/0.42 thf(func_def_184, type, sK53: $i > $i > $i > $i).
% 0.17/0.42 thf(func_def_185, type, sK54: $i > $i > $i).
% 0.17/0.42 thf(func_def_186, type, sK55: $i > $i > $i).
% 0.17/0.42 thf(func_def_187, type, sK56: $i > $i > $i).
% 0.17/0.42 thf(func_def_188, type, sK57: $i > $i).
% 0.17/0.42 thf(func_def_190, type, sK59: $i > $i).
% 0.17/0.42 thf(func_def_191, type, sK60: $i > $i).
% 0.17/0.42 thf(func_def_202, type, sK71: $i > $o).
% 0.17/0.42 thf(func_def_203, type, sK72: $i > $o).
% 0.17/0.42 thf(func_def_205, type, sK74: ($i > $o) > $i).
% 0.17/0.42 thf(func_def_206, type, sK75: ($i > $o) > $i).
% 0.17/0.42 thf(func_def_216, type, sK85: $i > $i > $i).
% 0.17/0.42 thf(func_def_219, type, sK88: $i > $i > $i).
% 0.17/0.42 thf(func_def_224, type, sK93: $i > $i > $i).
% 0.17/0.42 thf(func_def_234, type, sK103: $i > $o).
% 0.17/0.42 thf(func_def_236, type, sK105: ($i > $o) > $i > $i).
% 0.17/0.42 thf(func_def_244, type, sK113: $i > $o).
% 0.17/0.42 thf(func_def_245, type, sK114: $i > $o).
% 0.17/0.42 thf(func_def_246, type, sK115: ($i > $o) > ($i > $o) > $i).
% 0.17/0.42 thf(func_def_247, type, sK116: ($i > $o) > ($i > $o) > $i).
% 0.17/0.42 thf(func_def_254, type, sK123: $i > $o).
% 0.17/0.42 thf(func_def_257, type, sK126: ($i > $o) > $i > $i).
% 0.17/0.42 thf(func_def_259, type, sK128: $i > $o).
% 0.17/0.42 thf(func_def_263, type, sK132: $i > $o).
% 0.17/0.42 thf(func_def_269, type, sK138: $i > $o).
% 0.17/0.42 thf(func_def_272, type, sK141: $i > $o).
% 0.17/0.42 thf(func_def_275, type, sK144: $i > ($i > $o) > $i).
% 0.17/0.42 thf(func_def_276, type, sK145: $i > ($i > $o) > $i).
% 0.17/0.42 thf(func_def_277, type, sK146: $i > $o).
% 0.17/0.42 thf(func_def_282, type, sK151: ($i > $o) > ($i > $o) > $i).
% 0.17/0.42 thf(func_def_283, type, sK152: ($i > $o) > ($i > $o) > $i).
% 0.17/0.42 thf(func_def_284, type, sK153: $i > $o).
% 0.17/0.42 thf(func_def_285, type, sK154: $i > $o).
% 0.17/0.42 thf(func_def_287, type, sK156: $i > $o).
% 0.17/0.42 thf(func_def_289, type, sK158: $i > $o).
% 0.17/0.42 thf(func_def_293, type, sK162: $i > $o).
% 0.17/0.42 thf(func_def_295, type, sK164: $o > $i > $i > $i).
% 0.17/0.42 thf(func_def_302, type, sK171: ($i > $o) > $i).
% 0.17/0.42 thf(func_def_303, type, sK172: $i > $o).
% 0.17/0.42 thf(func_def_311, type, sK180: $i > $o).
% 0.17/0.42 thf(func_def_317, type, sK186: $i > $i > $i).
% 0.17/0.42 thf(func_def_318, type, sK187: $i > $i > $i).
% 0.17/0.42 thf(func_def_326, type, sK195: $i > $o).
% 0.17/0.42 thf(func_def_328, type, sK197: $i > ($i > $o) > $i).
% 0.17/0.42 thf(func_def_331, type, sK200: $i > $i > $i).
% 0.17/0.42 thf(func_def_338, type, sK207: $i > $o).
% 0.17/0.42 thf(func_def_339, type, sK208: $i > $i).
% 0.17/0.42 thf(func_def_340, type, sK209: ($i > $o) > $i).
% 0.17/0.42 thf(func_def_357, type, sK226: $i > $o).
% 0.17/0.42 thf(func_def_361, type, sK230: $i > $i).
% 0.17/0.42 thf(func_def_362, type, sK231: $i > $i).
% 0.17/0.42 thf(func_def_364, type, sK233: $i > $o).
% 0.17/0.42 thf(func_def_366, type, sK235: $i > $i).
% 0.17/0.42 thf(func_def_373, type, sK242: $i > $i).
% 0.17/0.42 thf(func_def_374, type, sK243: $i > $i > $i).
% 0.17/0.42 thf(func_def_380, type, sK249: $i > $i).
% 0.17/0.42 thf(func_def_386, type, sK255: $i > $o).
% 0.17/0.42 thf(func_def_396, type, sK265: $i > ($i > $o) > $i).
% 0.17/0.42 thf(func_def_397, type, sK266: $i > $o).
% 0.17/0.42 thf(func_def_399, type, sK268: $i > $o).
% 0.17/0.42 thf(func_def_405, type, sK274: $i > $i > $o).
% 0.17/0.42 thf(func_def_407, type, sK276: $i > $i).
% 0.17/0.42 thf(func_def_408, type, sK277: $i > $i).
% 0.17/0.42 thf(func_def_409, type, sK278: $i > ($i > $i > $o) > $i).
% 0.17/0.42 thf(func_def_410, type, sK279: $i > ($i > $i > $o) > $i).
% 0.17/0.42 thf(func_def_411, type, sK280: $i > $i > ($i > $i > $o) > $i).
% 0.17/0.42 thf(func_def_417, type, ph286: !>[X0: $tType]:(X0)).
% 0.17/0.42 thf(f2056,plain,(
% 0.17/0.42 $false),
% 0.17/0.42 inference(avatar_sat_refutation,[],[f1597,f1864,f2046,f2052])).
% 0.17/0.42 thf(f2052,plain,(
% 0.17/0.42 ~spl285_1),
% 0.17/0.42 inference(avatar_contradiction_clause,[],[f2051])).
% 0.17/0.42 thf(f2051,plain,(
% 0.17/0.42 $false | ~spl285_1),
% 0.17/0.42 inference(trivial_inequality_removal,[],[f2049])).
% 0.17/0.42 thf(f2049,plain,(
% 0.17/0.42 ($true != $true) | ~spl285_1),
% 0.17/0.42 inference(superposition,[],[f1264,f1589])).
% 0.17/0.42 thf(f1589,plain,(
% 0.17/0.42 ($true = (in @ sK170 @ sK169)) | ~spl285_1),
% 0.17/0.42 inference(avatar_component_clause,[],[f1587])).
% 0.17/0.42 thf(f1587,plain,(
% 0.17/0.42 spl285_1 <=> ($true = (in @ sK170 @ sK169))),
% 0.17/0.42 introduced(avatar_definition,[new_symbols(naming,[spl285_1])])).
% 0.17/0.42 thf(f1264,plain,(
% 0.17/0.42 ($true != (in @ sK170 @ sK169))),
% 0.17/0.42 inference(cnf_transformation,[],[f717])).
% 0.17/0.42 thf(f717,plain,(
% 0.17/0.42 (emptyInPowerset = $true) & (setadjoin__Cong = $true) & (in__Cong = $true) & (powersetI1 = $true) & (notequalI1 = $true) & (exuE1 = $true) & (emptyI = $true) & (notdexE = $true) & (subsetemptysetimpeq = $true) & (setadjoinAx = $true) & (exuE3u = $true) & (sepSubset = $true) & (subsetE = $true) & (setadjoinSub2 = $true) & (emptyinPowerset = $true) & (dsetconstrI = $true) & (omega__Cong = $true) & (eqimpsubset1 = $true) & (exuE2 = $true) & (subsetRefl = $true) & (setbeta = $true) & (($true != (in @ sK170 @ sK169)) & ((in @ sK170 @ (binunion @ sK169 @ sK168)) = $true) & ($true != (in @ sK170 @ sK168))) & (quantDeMorgan2 = $true) & (setextsub = $true) & (binunionEcases = $true) & (exuI1 = $true) & (setadjoinSub = $true) & (setext = $true) & (setunionI = $true) & (subset2powerset = $true) & (setadjoinE = $true) & (subsetI2 = $true) & (eqimpsubset2 = $true) & (noeltsimpempty = $true) & (setadjoinIL = $true) & (emptysetAx = $true) & (prop2setE = $true) & (exuI3 = $true) & (dsetconstrEL = $true) & (foundationAx = $true) & (exuEu = $true) & (upairsetIR = $true) & (vacuousDall = $true) & (powersetE = $true) & (quantDeMorgan4 = $true) & (nonemptyE1 = $true) & (setunion__Cong = $true) & (upairsetE = $true) & (prop2set2propI = $true) & (sepInPowerset = $true) & (inCongP = $true) & (exu__Cong = $true) & (subPowSU = $true) & (powersetE1 = $true) & (powerset__Cong = $true) & (emptysetimpfalse = $true) & (subsetTrans = $true) & (exuI2 = $true) & (nonemptyI1 = $true) & (omegaIndAx = $true) & (upairset2IR = $true) & (notinemptyset = $true) & (inPowerset = $true) & (setextAx = $true) & (setadjoinOr = $true) & (omega0Ax = $true) & (emptysetE = $true) & (descr__Cong = $true) & (singletonsswitch = $true) & (dsetconstr__Cong = $true) & (notequalI2 = $true) & (nonemptyImpWitness = $true) & (powersetsubset = $true) & (setadjoinIR = $true) & (emptyE1 = $true) & (replAx = $true) & (subsetI1 = $true) & (notinsingleton = $true) & (notsubsetI = $true) & (prop2setI = $true) & (powersetAx = $true) & (descrp = $true) & (binunionIL = $true) & (omegaSAx = $true) & (setoftrueEq = $true) & (setunionE = $true) & (emptyinunitempty = $true) & (notdallE = $true) & (subsetE2 = $true) & (nonemptyI = $true) & (uniqinunit = $true) & (wellorderingAx = $true) & (exuE3e = $true) & (upairsetIL = $true) & (quantDeMorgan3 = $true) & (emptysetsubset = $true) & (dsetconstrER = $true) & (quantDeMorgan1 = $true) & (eqinunit = $true) & (binunionIR = $true) & (emptyset__Cong = $true) & (setunionAx = $true) & (powersetI = $true)),
% 0.17/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK168,sK169,sK170])],[f379,f716])).
% 0.17/0.42 thf(f716,plain,(
% 0.17/0.42 ? [X0,X1,X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ (binunion @ X1 @ X0)) = $true) & ((in @ X2 @ X0) != $true)) => (($true != (in @ sK170 @ sK169)) & ((in @ sK170 @ (binunion @ sK169 @ sK168)) = $true) & ($true != (in @ sK170 @ sK168)))),
% 0.17/0.42 introduced(choice_axiom,[])).
% 0.17/0.42 thf(f379,plain,(
% 0.17/0.42 (emptyInPowerset = $true) & (setadjoin__Cong = $true) & (in__Cong = $true) & (powersetI1 = $true) & (notequalI1 = $true) & (exuE1 = $true) & (emptyI = $true) & (notdexE = $true) & (subsetemptysetimpeq = $true) & (setadjoinAx = $true) & (exuE3u = $true) & (sepSubset = $true) & (subsetE = $true) & (setadjoinSub2 = $true) & (emptyinPowerset = $true) & (dsetconstrI = $true) & (omega__Cong = $true) & (eqimpsubset1 = $true) & (exuE2 = $true) & (subsetRefl = $true) & (setbeta = $true) & ? [X0,X1,X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ (binunion @ X1 @ X0)) = $true) & ((in @ X2 @ X0) != $true)) & (quantDeMorgan2 = $true) & (setextsub = $true) & (binunionEcases = $true) & (exuI1 = $true) & (setadjoinSub = $true) & (setext = $true) & (setunionI = $true) & (subset2powerset = $true) & (setadjoinE = $true) & (subsetI2 = $true) & (eqimpsubset2 = $true) & (noeltsimpempty = $true) & (setadjoinIL = $true) & (emptysetAx = $true) & (prop2setE = $true) & (exuI3 = $true) & (dsetconstrEL = $true) & (foundationAx = $true) & (exuEu = $true) & (upairsetIR = $true) & (vacuousDall = $true) & (powersetE = $true) & (quantDeMorgan4 = $true) & (nonemptyE1 = $true) & (setunion__Cong = $true) & (upairsetE = $true) & (prop2set2propI = $true) & (sepInPowerset = $true) & (inCongP = $true) & (exu__Cong = $true) & (subPowSU = $true) & (powersetE1 = $true) & (powerset__Cong = $true) & (emptysetimpfalse = $true) & (subsetTrans = $true) & (exuI2 = $true) & (nonemptyI1 = $true) & (omegaIndAx = $true) & (upairset2IR = $true) & (notinemptyset = $true) & (inPowerset = $true) & (setextAx = $true) & (setadjoinOr = $true) & (omega0Ax = $true) & (emptysetE = $true) & (descr__Cong = $true) & (singletonsswitch = $true) & (dsetconstr__Cong = $true) & (notequalI2 = $true) & (nonemptyImpWitness = $true) & (powersetsubset = $true) & (setadjoinIR = $true) & (emptyE1 = $true) & (replAx = $true) & (subsetI1 = $true) & (notinsingleton = $true) & (notsubsetI = $true) & (prop2setI = $true) & (powersetAx = $true) & (descrp = $true) & (binunionIL = $true) & (omegaSAx = $true) & (setoftrueEq = $true) & (setunionE = $true) & (emptyinunitempty = $true) & (notdallE = $true) & (subsetE2 = $true) & (nonemptyI = $true) & (uniqinunit = $true) & (wellorderingAx = $true) & (exuE3e = $true) & (upairsetIL = $true) & (quantDeMorgan3 = $true) & (emptysetsubset = $true) & (dsetconstrER = $true) & (quantDeMorgan1 = $true) & (eqinunit = $true) & (binunionIR = $true) & (emptyset__Cong = $true) & (setunionAx = $true) & (powersetI = $true)),
% 0.17/0.42 inference(flattening,[],[f378])).
% 0.17/0.42 thf(f378,plain,(
% 0.17/0.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : ((((in @ X2 @ X1) != $true) & ((in @ X2 @ X0) != $true)) & ((in @ X2 @ (binunion @ X1 @ X0)) = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 0.17/0.42 inference(ennf_transformation,[],[f261])).
% 0.17/0.42 thf(f261,plain,(
% 0.17/0.42 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ! [X0,X1,X2] : (((in @ X2 @ (binunion @ X1 @ X0)) = $true) => (((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.17/0.42 inference(fool_elimination,[],[f260])).
% 0.17/0.42 thf(f260,plain,(
% 0.17/0.42 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => ! [X0,X1,X2] : ((in @ X2 @ (binunion @ X1 @ X0)) => ((in @ X2 @ X0) | (in @ X2 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.17/0.42 inference(rectify,[],[f106])).
% 0.17/0.42 thf(f106,negated_conjecture,(
% 0.17/0.42 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => ! [X4,X3,X1] : ((in @ X1 @ (binunion @ X3 @ X4)) => ((in @ X1 @ X4) | (in @ X1 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.17/0.42 inference(negated_conjecture,[],[f105])).
% 0.17/0.42 thf(f105,conjecture,(
% 0.17/0.42 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => ! [X4,X3,X1] : ((in @ X1 @ (binunion @ X3 @ X4)) => ((in @ X1 @ X4) | (in @ X1 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionE)).
% 0.17/0.42 thf(f2046,plain,(
% 0.17/0.42 ~spl285_3),
% 0.17/0.42 inference(avatar_contradiction_clause,[],[f2045])).
% 0.17/0.42 thf(f2045,plain,(
% 0.17/0.42 $false | ~spl285_3),
% 0.17/0.42 inference(trivial_inequality_removal,[],[f2042])).
% 0.17/0.42 thf(f2042,plain,(
% 0.17/0.42 ($true != $true) | ~spl285_3),
% 0.17/0.42 inference(superposition,[],[f1262,f1596])).
% 0.17/0.42 thf(f1596,plain,(
% 0.17/0.42 ($true = (in @ sK170 @ sK168)) | ~spl285_3),
% 0.17/0.42 inference(avatar_component_clause,[],[f1594])).
% 0.17/0.42 thf(f1594,plain,(
% 0.17/0.42 spl285_3 <=> ($true = (in @ sK170 @ sK168))),
% 0.17/0.42 introduced(avatar_definition,[new_symbols(naming,[spl285_3])])).
% 0.17/0.42 thf(f1262,plain,(
% 0.17/0.42 ($true != (in @ sK170 @ sK168))),
% 0.17/0.42 inference(cnf_transformation,[],[f717])).
% 0.17/0.42 thf(f1864,plain,(
% 0.17/0.42 ~spl285_2),
% 0.17/0.42 inference(avatar_contradiction_clause,[],[f1863])).
% 0.17/0.42 thf(f1863,plain,(
% 0.17/0.42 $false | ~spl285_2),
% 0.17/0.42 inference(trivial_inequality_removal,[],[f1719])).
% 0.17/0.42 thf(f1719,plain,(
% 0.17/0.42 ($true != $true) | ~spl285_2),
% 0.17/0.42 inference(superposition,[],[f1262,f1592])).
% 0.17/0.42 thf(f1592,plain,(
% 0.17/0.42 ( ! [X0 : $o] : (($true = X0)) ) | ~spl285_2),
% 0.17/0.42 inference(avatar_component_clause,[],[f1591])).
% 0.17/0.42 thf(f1591,plain,(
% 0.17/0.42 spl285_2 <=> ! [X0 : $o] : ($true = X0)),
% 0.17/0.42 introduced(avatar_definition,[new_symbols(naming,[spl285_2])])).
% 0.17/0.42 thf(f1597,plain,(
% 0.17/0.42 spl285_1 | spl285_2 | spl285_3),
% 0.17/0.42 inference(avatar_split_clause,[],[f1585,f1594,f1591,f1587])).
% 0.17/0.42 thf(f1585,plain,(
% 0.17/0.42 ( ! [X0 : $o] : (($true = (in @ sK170 @ sK168)) | ($true = X0) | ($true = (in @ sK170 @ sK169))) )),
% 0.17/0.42 inference(trivial_inequality_removal,[],[f1584])).
% 0.17/0.42 thf(f1584,plain,(
% 0.17/0.42 ( ! [X0 : $o] : (($true = (in @ sK170 @ sK168)) | ($true != $true) | ($true = (in @ sK170 @ sK169)) | ($true = X0)) )),
% 0.17/0.42 inference(forward_demodulation,[],[f1583,f1259])).
% 0.17/0.42 thf(f1259,plain,(
% 0.17/0.42 (binunionEcases = $true)),
% 0.17/0.42 inference(cnf_transformation,[],[f717])).
% 0.17/0.42 thf(f1583,plain,(
% 0.17/0.42 ( ! [X0 : $o] : (($true = (in @ sK170 @ sK169)) | (binunionEcases != $true) | ($true = X0) | ($true = (in @ sK170 @ sK168))) )),
% 0.17/0.42 inference(trivial_inequality_removal,[],[f1580])).
% 0.17/0.42 thf(f1580,plain,(
% 0.17/0.42 ( ! [X0 : $o] : (($true = X0) | ($true = (in @ sK170 @ sK169)) | ($true != $true) | ($true = (in @ sK170 @ sK168)) | (binunionEcases != $true)) )),
% 0.17/0.43 inference(superposition,[],[f1454,f1263])).
% 0.17/0.43 thf(f1263,plain,(
% 0.17/0.43 ((in @ sK170 @ (binunion @ sK169 @ sK168)) = $true)),
% 0.17/0.43 inference(cnf_transformation,[],[f717])).
% 0.17/0.43 thf(f1454,plain,(
% 0.17/0.43 ( ! [X6 : $o,X7 : $i,X4 : $i,X5 : $i] : (($true != (in @ X7 @ (binunion @ X4 @ X5))) | ($true = X6) | ((in @ X7 @ X4) = $true) | (binunionEcases != $true) | ($true = (in @ X7 @ X5))) )),
% 0.17/0.43 inference(cnf_transformation,[],[f938])).
% 0.17/0.43 thf(f938,plain,(
% 0.17/0.43 ((binunionEcases = $true) | ((($true != (in @ sK284 @ sK282)) | (sK283 = $true)) & ((in @ sK284 @ (binunion @ sK281 @ sK282)) = $true) & ((sK283 = $true) | ($true != (in @ sK284 @ sK281))) & (sK283 != $true))) & (! [X4,X5,X6 : $o,X7] : ((($true = (in @ X7 @ X5)) & ($true != X6)) | ($true != (in @ X7 @ (binunion @ X4 @ X5))) | (($true != X6) & ((in @ X7 @ X4) = $true)) | ($true = X6)) | (binunionEcases != $true))),
% 0.17/0.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK281,sK282,sK283,sK284])],[f936,f937])).
% 0.17/0.43 thf(f937,plain,(
% 0.17/0.43 ? [X0,X1,X2 : $o,X3] : ((((in @ X3 @ X1) != $true) | ($true = X2)) & ((in @ X3 @ (binunion @ X0 @ X1)) = $true) & (($true = X2) | ($true != (in @ X3 @ X0))) & ($true != X2)) => ((($true != (in @ sK284 @ sK282)) | (sK283 = $true)) & ((in @ sK284 @ (binunion @ sK281 @ sK282)) = $true) & ((sK283 = $true) | ($true != (in @ sK284 @ sK281))) & (sK283 != $true))),
% 0.17/0.43 introduced(choice_axiom,[])).
% 0.17/0.43 thf(f936,plain,(
% 0.17/0.43 ((binunionEcases = $true) | ? [X0,X1,X2 : $o,X3] : ((((in @ X3 @ X1) != $true) | ($true = X2)) & ((in @ X3 @ (binunion @ X0 @ X1)) = $true) & (($true = X2) | ($true != (in @ X3 @ X0))) & ($true != X2))) & (! [X4,X5,X6 : $o,X7] : ((($true = (in @ X7 @ X5)) & ($true != X6)) | ($true != (in @ X7 @ (binunion @ X4 @ X5))) | (($true != X6) & ((in @ X7 @ X4) = $true)) | ($true = X6)) | (binunionEcases != $true))),
% 0.17/0.43 inference(rectify,[],[f935])).
% 0.17/0.43 thf(f935,plain,(
% 0.17/0.43 ((binunionEcases = $true) | ? [X0,X1,X2 : $o,X3] : ((((in @ X3 @ X1) != $true) | ($true = X2)) & ((in @ X3 @ (binunion @ X0 @ X1)) = $true) & (($true = X2) | ($true != (in @ X3 @ X0))) & ($true != X2))) & (! [X0,X1,X2 : $o,X3] : ((((in @ X3 @ X1) = $true) & ($true != X2)) | ((in @ X3 @ (binunion @ X0 @ X1)) != $true) | (($true != X2) & ($true = (in @ X3 @ X0))) | ($true = X2)) | (binunionEcases != $true))),
% 0.17/0.43 inference(nnf_transformation,[],[f428])).
% 0.17/0.43 thf(f428,plain,(
% 0.17/0.43 (binunionEcases = $true) <=> ! [X0,X1,X2 : $o,X3] : ((((in @ X3 @ X1) = $true) & ($true != X2)) | ((in @ X3 @ (binunion @ X0 @ X1)) != $true) | (($true != X2) & ($true = (in @ X3 @ X0))) | ($true = X2))),
% 0.17/0.43 inference(flattening,[],[f427])).
% 0.17/0.43 thf(f427,plain,(
% 0.17/0.43 ! [X0,X1,X2 : $o,X3] : (((($true = X2) | (((in @ X3 @ X1) = $true) & ($true != X2))) | (($true != X2) & ($true = (in @ X3 @ X0)))) | ((in @ X3 @ (binunion @ X0 @ X1)) != $true)) <=> (binunionEcases = $true)),
% 0.17/0.43 inference(ennf_transformation,[],[f247])).
% 0.17/0.43 thf(f247,plain,(
% 0.17/0.43 ! [X0,X1,X2 : $o,X3] : (((in @ X3 @ (binunion @ X0 @ X1)) = $true) => ((($true = (in @ X3 @ X0)) => ($true = X2)) => ((((in @ X3 @ X1) = $true) => ($true = X2)) => ($true = X2)))) <=> (binunionEcases = $true)),
% 0.17/0.43 inference(fool_elimination,[],[f246])).
% 0.17/0.43 thf(f246,plain,(
% 0.17/0.43 (binunionEcases = ! [X0,X1,X2 : $o,X3] : ((in @ X3 @ (binunion @ X0 @ X1)) => (((in @ X3 @ X0) => X2) => (((in @ X3 @ X1) => X2) => X2))))),
% 0.17/0.43 inference(rectify,[],[f104])).
% 0.17/0.43 thf(f104,axiom,(
% 0.17/0.43 (binunionEcases = ! [X3,X4,X0 : $o,X1] : ((in @ X1 @ (binunion @ X3 @ X4)) => (((in @ X1 @ X3) => X0) => (((in @ X1 @ X4) => X0) => X0))))),
% 0.17/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionEcases)).
% 0.17/0.43 % SZS output end Proof for theBenchmark
% 0.17/0.43 % (31081)------------------------------
% 0.17/0.43 % (31081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (31081)Termination reason: Refutation
% 0.17/0.43
% 0.17/0.43 % (31081)Memory used [KB]: 7291
% 0.17/0.43 % (31081)Time elapsed: 0.044 s
% 0.17/0.43 % (31081)Instructions burned: 123 (million)
% 0.17/0.43 % (31081)------------------------------
% 0.17/0.43 % (31081)------------------------------
% 0.17/0.43 % (31058)Success in time 0.11 s
% 0.17/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------