TSTP Solution File: SEU516^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU516^1 : 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 : n017.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 03:49:17 EDT 2024
% Result : Theorem 0.17s 0.41s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU516^1 : TPTP v8.2.0. Released v3.7.0.
% 0.10/0.11 % 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 : n017.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 15:48:08 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_EQU_NAR problem
% 0.11/0.32 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % (22924)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.33 % (22920)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)
% 0.11/0.33 % (22923)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)
% 0.11/0.33 % (22925)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)
% 0.11/0.34 % (22925)Instruction limit reached!
% 0.11/0.34 % (22925)------------------------------
% 0.11/0.34 % (22925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (22925)Termination reason: Unknown
% 0.11/0.34 % (22925)Termination phase: shuffling
% 0.11/0.34
% 0.11/0.34 % (22925)Memory used [KB]: 1023
% 0.11/0.34 % (22925)Time elapsed: 0.003 s
% 0.11/0.34 % (22925)Instructions burned: 4 (million)
% 0.11/0.34 % (22925)------------------------------
% 0.11/0.34 % (22925)------------------------------
% 0.11/0.34 % (22924)Instruction limit reached!
% 0.11/0.34 % (22924)------------------------------
% 0.11/0.34 % (22924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (22924)Termination reason: Unknown
% 0.11/0.34 % (22924)Termination phase: Property scanning
% 0.11/0.34
% 0.11/0.34 % (22924)Memory used [KB]: 1407
% 0.11/0.34 % (22924)Time elapsed: 0.010 s
% 0.11/0.34 % (22924)Instructions burned: 18 (million)
% 0.11/0.34 % (22924)------------------------------
% 0.11/0.34 % (22924)------------------------------
% 0.11/0.34 % (22919)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)
% 0.11/0.34 % (22919)Instruction limit reached!
% 0.11/0.34 % (22919)------------------------------
% 0.11/0.34 % (22919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (22919)Termination reason: Unknown
% 0.11/0.34 % (22919)Termination phase: shuffling
% 0.11/0.34
% 0.11/0.34 % (22919)Memory used [KB]: 1151
% 0.11/0.34 % (22919)Time elapsed: 0.006 s
% 0.11/0.34 % (22919)Instructions burned: 6 (million)
% 0.11/0.34 % (22919)------------------------------
% 0.11/0.34 % (22919)------------------------------
% 0.11/0.35 % (22920)Instruction limit reached!
% 0.11/0.35 % (22920)------------------------------
% 0.11/0.35 % (22920)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (22920)Termination reason: Unknown
% 0.11/0.35 % (22920)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (22920)Memory used [KB]: 5756
% 0.11/0.35 % (22920)Time elapsed: 0.013 s
% 0.11/0.35 % (22920)Instructions burned: 28 (million)
% 0.11/0.35 % (22920)------------------------------
% 0.11/0.35 % (22920)------------------------------
% 0.11/0.35 % (22921)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.35 % (22918)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.35 % (22921)Instruction limit reached!
% 0.11/0.35 % (22921)------------------------------
% 0.11/0.35 % (22921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (22921)Termination reason: Unknown
% 0.11/0.35 % (22921)Termination phase: shuffling
% 0.11/0.35
% 0.11/0.35 % (22921)Memory used [KB]: 1023
% 0.11/0.35 % (22921)Time elapsed: 0.003 s
% 0.11/0.35 % (22921)Instructions burned: 3 (million)
% 0.11/0.35 % (22921)------------------------------
% 0.11/0.35 % (22921)------------------------------
% 0.11/0.35 % (22922)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)
% 0.11/0.35 % (22922)Instruction limit reached!
% 0.11/0.35 % (22922)------------------------------
% 0.11/0.35 % (22922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (22922)Termination reason: Unknown
% 0.11/0.35 % (22922)Termination phase: shuffling
% 0.11/0.35
% 0.11/0.35 % (22922)Memory used [KB]: 1023
% 0.11/0.35 % (22922)Time elapsed: 0.004 s
% 0.11/0.35 % (22922)Instructions burned: 4 (million)
% 0.11/0.35 % (22922)------------------------------
% 0.11/0.35 % (22922)------------------------------
% 0.11/0.35 % (22926)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)
% 0.11/0.36 % (22927)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)
% 0.11/0.36 % (22929)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)
% 0.11/0.36 % (22928)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)
% 0.11/0.36 % (22928)Instruction limit reached!
% 0.11/0.36 % (22928)------------------------------
% 0.11/0.36 % (22928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (22928)Termination reason: Unknown
% 0.11/0.36 % (22928)Termination phase: shuffling
% 0.11/0.36
% 0.11/0.36 % (22928)Memory used [KB]: 1023
% 0.11/0.36 % (22928)Time elapsed: 0.003 s
% 0.11/0.36 % (22928)Instructions burned: 3 (million)
% 0.11/0.36 % (22928)------------------------------
% 0.11/0.36 % (22928)------------------------------
% 0.11/0.36 % (22930)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.36 % (22927)Instruction limit reached!
% 0.11/0.36 % (22927)------------------------------
% 0.11/0.36 % (22927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (22927)Termination reason: Unknown
% 0.11/0.36 % (22927)Termination phase: Preprocessing 3
% 0.11/0.36
% 0.11/0.36 % (22927)Memory used [KB]: 1407
% 0.11/0.36 % (22927)Time elapsed: 0.009 s
% 0.11/0.36 % (22927)Instructions burned: 15 (million)
% 0.11/0.36 % (22927)------------------------------
% 0.11/0.36 % (22927)------------------------------
% 0.11/0.36 % (22930)Instruction limit reached!
% 0.11/0.36 % (22930)------------------------------
% 0.11/0.36 % (22930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (22930)Termination reason: Unknown
% 0.11/0.36 % (22930)Termination phase: Property scanning
% 0.11/0.36
% 0.11/0.36 % (22930)Memory used [KB]: 1151
% 0.11/0.36 % (22930)Time elapsed: 0.005 s
% 0.11/0.36 % (22930)Instructions burned: 8 (million)
% 0.11/0.36 % (22930)------------------------------
% 0.11/0.36 % (22930)------------------------------
% 0.11/0.36 % (22926)Instruction limit reached!
% 0.11/0.36 % (22926)------------------------------
% 0.11/0.36 % (22926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (22926)Termination reason: Unknown
% 0.11/0.36 % (22926)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (22926)Memory used [KB]: 5884
% 0.11/0.36 % (22926)Time elapsed: 0.017 s
% 0.11/0.36 % (22926)Instructions burned: 39 (million)
% 0.11/0.36 % (22926)------------------------------
% 0.11/0.36 % (22926)------------------------------
% 0.11/0.37 % (22931)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.11/0.38 % (22932)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)
% 0.11/0.38 % (22933)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)
% 0.11/0.38 % (22934)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)
% 0.11/0.38 % (22932)Instruction limit reached!
% 0.11/0.38 % (22932)------------------------------
% 0.11/0.38 % (22932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (22932)Termination reason: Unknown
% 0.11/0.38 % (22932)Termination phase: shuffling
% 0.11/0.38
% 0.11/0.38 % (22932)Memory used [KB]: 1023
% 0.11/0.38 % (22932)Time elapsed: 0.003 s
% 0.11/0.38 % (22932)Instructions burned: 4 (million)
% 0.11/0.38 % (22933)Instruction limit reached!
% 0.11/0.38 % (22933)------------------------------
% 0.11/0.38 % (22933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (22932)------------------------------
% 0.11/0.38 % (22932)------------------------------
% 0.11/0.38 % (22933)Termination reason: Unknown
% 0.11/0.38 % (22933)Termination phase: shuffling
% 0.11/0.38
% 0.11/0.38 % (22933)Memory used [KB]: 1023
% 0.11/0.38 % (22933)Time elapsed: 0.003 s
% 0.11/0.38 % (22933)Instructions burned: 4 (million)
% 0.11/0.38 % (22933)------------------------------
% 0.11/0.38 % (22933)------------------------------
% 0.11/0.38 % (22931)Instruction limit reached!
% 0.11/0.38 % (22931)------------------------------
% 0.11/0.38 % (22931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (22931)Termination reason: Unknown
% 0.11/0.38 % (22931)Termination phase: Twee Goal Transformation
% 0.11/0.38
% 0.11/0.38 % (22931)Memory used [KB]: 1279
% 0.11/0.38 % (22931)Time elapsed: 0.009 s
% 0.11/0.38 % (22931)Instructions burned: 18 (million)
% 0.11/0.38 % (22931)------------------------------
% 0.11/0.38 % (22931)------------------------------
% 0.11/0.38 % (22934)Instruction limit reached!
% 0.11/0.38 % (22934)------------------------------
% 0.11/0.38 % (22934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (22934)Termination reason: Unknown
% 0.11/0.38 % (22934)Termination phase: Property scanning
% 0.11/0.38
% 0.11/0.38 % (22934)Memory used [KB]: 1151
% 0.11/0.38 % (22934)Time elapsed: 0.005 s
% 0.11/0.38 % (22934)Instructions burned: 8 (million)
% 0.11/0.38 % (22934)------------------------------
% 0.11/0.38 % (22934)------------------------------
% 0.11/0.39 % (22935)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)
% 0.11/0.39 % (22935)Instruction limit reached!
% 0.11/0.39 % (22935)------------------------------
% 0.11/0.39 % (22935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (22935)Termination reason: Unknown
% 0.11/0.39 % (22935)Termination phase: shuffling
% 0.11/0.39
% 0.11/0.39 % (22935)Memory used [KB]: 1023
% 0.11/0.39 % (22935)Time elapsed: 0.003 s
% 0.11/0.39 % (22935)Instructions burned: 3 (million)
% 0.11/0.39 % (22935)------------------------------
% 0.11/0.39 % (22935)------------------------------
% 0.11/0.39 % (22936)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.11/0.39 % (22937)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)
% 0.11/0.39 % (22936)Instruction limit reached!
% 0.11/0.39 % (22936)------------------------------
% 0.11/0.39 % (22936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (22936)Termination reason: Unknown
% 0.11/0.39 % (22936)Termination phase: shuffling
% 0.11/0.39
% 0.11/0.39 % (22936)Memory used [KB]: 1023
% 0.11/0.39 % (22936)Time elapsed: 0.003 s
% 0.11/0.39 % (22936)Instructions burned: 4 (million)
% 0.11/0.39 % (22936)------------------------------
% 0.11/0.39 % (22936)------------------------------
% 0.11/0.39 % (22938)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.11/0.40 % (22937)Instruction limit reached!
% 0.11/0.40 % (22937)------------------------------
% 0.11/0.40 % (22937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.40 % (22937)Termination reason: Unknown
% 0.11/0.40 % (22937)Termination phase: Saturation
% 0.11/0.40
% 0.11/0.40 % (22937)Memory used [KB]: 5756
% 0.11/0.40 % (22937)Time elapsed: 0.009 s
% 0.11/0.40 % (22937)Instructions burned: 18 (million)
% 0.11/0.40 % (22937)------------------------------
% 0.11/0.40 % (22937)------------------------------
% 0.17/0.40 % (22939)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.40 % (22923)First to succeed.
% 0.17/0.41 % (22939)Instruction limit reached!
% 0.17/0.41 % (22939)------------------------------
% 0.17/0.41 % (22939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (22939)Termination reason: Unknown
% 0.17/0.41 % (22939)Termination phase: Property scanning
% 0.17/0.41
% 0.17/0.41 % (22939)Memory used [KB]: 1151
% 0.17/0.41 % (22939)Time elapsed: 0.004 s
% 0.17/0.41 % (22939)Instructions burned: 7 (million)
% 0.17/0.41 % (22939)------------------------------
% 0.17/0.41 % (22939)------------------------------
% 0.17/0.41 % (22940)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)
% 0.17/0.41 % (22923)Refutation found. Thanks to Tanya!
% 0.17/0.41 % SZS status Theorem for theBenchmark
% 0.17/0.41 % SZS output start Proof for theBenchmark
% 0.17/0.41 thf(func_def_0, type, in: $i > $i > $o).
% 0.17/0.41 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.17/0.41 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.17/0.41 thf(func_def_8, type, powerset: $i > $i).
% 0.17/0.41 thf(func_def_10, type, setunion: $i > $i).
% 0.17/0.41 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.17/0.41 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.17/0.41 thf(func_def_26, type, prop2set: $o > $i).
% 0.17/0.41 thf(func_def_36, type, nonempty: $i > $o).
% 0.17/0.41 thf(func_def_56, type, sP0: $i > $i > $o).
% 0.17/0.41 thf(func_def_57, type, sP1: $i > $o).
% 0.17/0.41 thf(func_def_58, type, sP2: $i > $i > $o).
% 0.17/0.41 thf(func_def_59, type, sP3: $i > $i > $o).
% 0.17/0.41 thf(func_def_62, type, sK6: $i > $i).
% 0.17/0.41 thf(func_def_63, type, sK7: ($i > $o) > $i).
% 0.17/0.41 thf(func_def_64, type, sK8: $i > $o).
% 0.17/0.41 thf(func_def_65, type, sK9: $i > $i).
% 0.17/0.41 thf(func_def_66, type, sK10: $i > $i > $i).
% 0.17/0.41 thf(func_def_67, type, sK11: $i > $i > $i).
% 0.17/0.41 thf(func_def_72, type, sK16: $i > $o).
% 0.17/0.41 thf(func_def_77, type, sK21: $i > $o).
% 0.17/0.41 thf(func_def_79, type, sK23: $i > $o).
% 0.17/0.41 thf(func_def_83, type, sK27: $i > $i > $i).
% 0.17/0.41 thf(func_def_84, type, sK28: $i > $i > $i).
% 0.17/0.41 thf(func_def_85, type, sK29: $i > $i > $i).
% 0.17/0.41 thf(func_def_86, type, sK30: $i > $i > $i).
% 0.17/0.41 thf(func_def_87, type, sK31: $i > $i > $i).
% 0.17/0.41 thf(func_def_88, type, sK32: $i > $i > $i > $i).
% 0.17/0.41 thf(func_def_89, type, sK33: $i > $i).
% 0.17/0.41 thf(func_def_90, type, sK34: $i > $i).
% 0.17/0.41 thf(func_def_91, type, sK35: $i > $i).
% 0.17/0.41 thf(func_def_92, type, sK36: $i > $i).
% 0.17/0.41 thf(func_def_93, type, sK37: $i > $i > $i > $i).
% 0.17/0.41 thf(func_def_94, type, sK38: $i > $i > $i > $i).
% 0.17/0.41 thf(func_def_95, type, sK39: $i > $i > $i).
% 0.17/0.41 thf(func_def_96, type, sK40: $i > $i > $i).
% 0.17/0.41 thf(func_def_97, type, sK41: $i > $i > $i).
% 0.17/0.41 thf(func_def_98, type, sK42: $i > $i).
% 0.17/0.41 thf(func_def_100, type, sK44: $i > $i).
% 0.17/0.41 thf(func_def_101, type, sK45: $i > $i).
% 0.17/0.41 thf(func_def_113, type, sK57: $i > $i).
% 0.17/0.41 thf(func_def_116, type, sK60: $i > $i).
% 0.17/0.41 thf(func_def_118, type, sK62: $i > $o).
% 0.17/0.41 thf(func_def_121, type, sK65: $i > $i > $i).
% 0.17/0.41 thf(func_def_124, type, sK68: $i > $i).
% 0.17/0.41 thf(func_def_128, type, sK72: $i > $o).
% 0.17/0.41 thf(func_def_137, type, sK81: $i > $i > $o).
% 0.17/0.41 thf(func_def_139, type, sK83: $i > $i).
% 0.17/0.41 thf(func_def_140, type, sK84: $i > $i).
% 0.17/0.41 thf(func_def_141, type, sK85: $i > ($i > $i > $o) > $i).
% 0.17/0.41 thf(func_def_142, type, sK86: $i > ($i > $i > $o) > $i).
% 0.17/0.41 thf(func_def_143, type, sK87: $i > $i > ($i > $i > $o) > $i).
% 0.17/0.41 thf(func_def_144, type, sK88: $i > $o).
% 0.17/0.41 thf(func_def_145, type, sK89: ($i > $o) > $i).
% 0.17/0.41 thf(func_def_146, type, sK90: $i > $i).
% 0.17/0.41 thf(func_def_151, type, sK95: $i > $i > $i).
% 0.17/0.41 thf(func_def_153, type, sK97: $i > $i).
% 0.17/0.41 thf(func_def_157, type, ph101: !>[X0: $tType]:(X0)).
% 0.17/0.41 thf(f1041,plain,(
% 0.17/0.41 $false),
% 0.17/0.41 inference(avatar_sat_refutation,[],[f687,f1037])).
% 0.17/0.41 thf(f1037,plain,(
% 0.17/0.41 ~spl100_1),
% 0.17/0.41 inference(avatar_contradiction_clause,[],[f1036])).
% 0.17/0.41 thf(f1036,plain,(
% 0.17/0.41 $false | ~spl100_1),
% 0.17/0.41 inference(subsumption_resolution,[],[f1035,f439])).
% 0.17/0.41 thf(f439,plain,(
% 0.17/0.41 (sK54 != sK56)),
% 0.17/0.41 inference(cnf_transformation,[],[f241])).
% 0.17/0.41 thf(f241,plain,(
% 0.17/0.41 (notinemptyset = $true) & ((sK54 != sK56) & ($true = (in @ sK56 @ (setadjoin @ sK54 @ sK55))) & ($true != (in @ sK56 @ sK55))) & (omegaIndAx = $true) & (exuE1 = $true) & (dsetconstrEL = $true) & (noeltsimpempty = $true) & (omegaSAx = $true) & (descrp = $true) & (setunionAx = $true) & (emptysetE = $true) & (emptysetAx = $true) & (nonemptyI1 = $true) & (foundationAx = $true) & (omega0Ax = $true) & (setadjoinE = $true) & (nonemptyI = $true) & (setadjoinAx = $true) & (emptysetimpfalse = $true) & (setadjoinIR = $true) & (setadjoinIL = $true) & (setextAx = $true) & (dsetconstrER = $true) & (emptyI = $true) & (dsetconstrI = $true) & (prop2setE = $true) & (emptyinunitempty = $true) & (setext = $true) & (exuE3e = $true) & (powersetAx = $true) & (setbeta = $true) & (replAx = $true) & (nonemptyE1 = $true) & (wellorderingAx = $true)),
% 0.17/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55,sK56])],[f137,f240])).
% 0.17/0.41 thf(f240,plain,(
% 0.17/0.41 ? [X0,X1,X2] : ((X0 != X2) & ($true = (in @ X2 @ (setadjoin @ X0 @ X1))) & ((in @ X2 @ X1) != $true)) => ((sK54 != sK56) & ($true = (in @ sK56 @ (setadjoin @ sK54 @ sK55))) & ($true != (in @ sK56 @ sK55)))),
% 0.17/0.41 introduced(choice_axiom,[])).
% 0.17/0.41 thf(f137,plain,(
% 0.17/0.41 (notinemptyset = $true) & ? [X0,X1,X2] : ((X0 != X2) & ($true = (in @ X2 @ (setadjoin @ X0 @ X1))) & ((in @ X2 @ X1) != $true)) & (omegaIndAx = $true) & (exuE1 = $true) & (dsetconstrEL = $true) & (noeltsimpempty = $true) & (omegaSAx = $true) & (descrp = $true) & (setunionAx = $true) & (emptysetE = $true) & (emptysetAx = $true) & (nonemptyI1 = $true) & (foundationAx = $true) & (omega0Ax = $true) & (setadjoinE = $true) & (nonemptyI = $true) & (setadjoinAx = $true) & (emptysetimpfalse = $true) & (setadjoinIR = $true) & (setadjoinIL = $true) & (setextAx = $true) & (dsetconstrER = $true) & (emptyI = $true) & (dsetconstrI = $true) & (prop2setE = $true) & (emptyinunitempty = $true) & (setext = $true) & (exuE3e = $true) & (powersetAx = $true) & (setbeta = $true) & (replAx = $true) & (nonemptyE1 = $true) & (wellorderingAx = $true)),
% 0.17/0.41 inference(flattening,[],[f136])).
% 0.17/0.41 thf(f136,plain,(
% 0.17/0.41 (((((((((((((((((((((((((((((((? [X0,X1,X2] : (((X0 != X2) & ((in @ X2 @ X1) != $true)) & ($true = (in @ X2 @ (setadjoin @ X0 @ X1)))) & (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)),
% 0.17/0.41 inference(ennf_transformation,[],[f104])).
% 0.17/0.41 thf(f104,plain,(
% 0.17/0.41 ~((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 = $true) => ! [X0,X1,X2] : (($true = (in @ X2 @ (setadjoin @ X0 @ X1))) => ((X0 = X2) | ((in @ X2 @ X1) = $true)))))))))))))))))))))))))))))))))))),
% 0.17/0.41 inference(fool_elimination,[],[f103])).
% 0.17/0.41 thf(f103,plain,(
% 0.17/0.41 ~(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 => ! [X0,X1,X2] : ((in @ X2 @ (setadjoin @ X0 @ X1)) => ((X0 = X2) | (in @ X2 @ X1)))))))))))))))))))))))))))))))))))),
% 0.17/0.41 inference(rectify,[],[f37])).
% 0.17/0.41 thf(f37,negated_conjecture,(
% 0.17/0.41 ~(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 => ! [X1,X3,X2] : ((in @ X2 @ (setadjoin @ X1 @ X3)) => ((X1 = X2) | (in @ X2 @ X3)))))))))))))))))))))))))))))))))))),
% 0.17/0.41 inference(negated_conjecture,[],[f36])).
% 0.17/0.41 thf(f36,conjecture,(
% 0.17/0.41 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 => ! [X1,X3,X2] : ((in @ X2 @ (setadjoin @ X1 @ X3)) => ((X1 = X2) | (in @ X2 @ X3))))))))))))))))))))))))))))))))))),
% 0.17/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinOr)).
% 0.17/0.41 thf(f1035,plain,(
% 0.17/0.41 (sK54 = sK56) | ~spl100_1),
% 0.17/0.41 inference(subsumption_resolution,[],[f1024,f437])).
% 0.17/0.41 thf(f437,plain,(
% 0.17/0.41 ($true != (in @ sK56 @ sK55))),
% 0.17/0.41 inference(cnf_transformation,[],[f241])).
% 0.17/0.41 thf(f1024,plain,(
% 0.17/0.41 ($true = (in @ sK56 @ sK55)) | (sK54 = sK56) | ~spl100_1),
% 0.17/0.41 inference(trivial_inequality_removal,[],[f1008])).
% 0.17/0.41 thf(f1008,plain,(
% 0.17/0.41 ($true = (in @ sK56 @ sK55)) | ($true != $true) | (sK54 = sK56) | ~spl100_1),
% 0.17/0.41 inference(superposition,[],[f682,f438])).
% 0.17/0.41 thf(f438,plain,(
% 0.17/0.41 ($true = (in @ sK56 @ (setadjoin @ sK54 @ sK55)))),
% 0.17/0.41 inference(cnf_transformation,[],[f241])).
% 0.17/0.41 thf(f682,plain,(
% 0.17/0.41 ( ! [X6 : $i,X4 : $i,X5 : $i] : (($true != (in @ X4 @ (setadjoin @ X6 @ X5))) | ((in @ X4 @ X5) = $true) | (X4 = X6)) ) | ~spl100_1),
% 0.17/0.41 inference(avatar_component_clause,[],[f681])).
% 0.17/0.41 thf(f681,plain,(
% 0.17/0.41 spl100_1 <=> ! [X6,X4,X5] : (($true != (in @ X4 @ (setadjoin @ X6 @ X5))) | (X4 = X6) | ((in @ X4 @ X5) = $true))),
% 0.17/0.41 introduced(avatar_definition,[new_symbols(naming,[spl100_1])])).
% 0.17/0.41 thf(f687,plain,(
% 0.17/0.41 spl100_1),
% 0.17/0.41 inference(avatar_split_clause,[],[f645,f681])).
% 0.17/0.41 thf(f645,plain,(
% 0.17/0.41 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X3 @ X5) = $true) | ($true != (in @ X3 @ (setadjoin @ X4 @ X5))) | (X3 = X4)) )),
% 0.17/0.41 inference(trivial_inequality_removal,[],[f589])).
% 0.17/0.41 thf(f589,plain,(
% 0.17/0.41 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((X3 = X4) | ((in @ X3 @ X5) = $true) | ($true != (in @ X3 @ (setadjoin @ X4 @ X5))) | ($true != $true)) )),
% 0.17/0.41 inference(definition_unfolding,[],[f463,f422])).
% 0.17/0.41 thf(f422,plain,(
% 0.17/0.41 (setadjoinAx = $true)),
% 0.17/0.41 inference(cnf_transformation,[],[f241])).
% 0.17/0.41 thf(f463,plain,(
% 0.17/0.41 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((X3 = X4) | ((in @ X3 @ X5) = $true) | ($true != (in @ X3 @ (setadjoin @ X4 @ X5))) | (setadjoinAx != $true)) )),
% 0.17/0.41 inference(cnf_transformation,[],[f279])).
% 0.17/0.41 thf(f279,plain,(
% 0.17/0.41 ((setadjoinAx = $true) | ((((sK75 != sK76) & ($true != (in @ sK75 @ sK77))) | ($true != (in @ sK75 @ (setadjoin @ sK76 @ sK77)))) & ((sK75 = sK76) | ($true = (in @ sK75 @ sK77)) | ($true = (in @ sK75 @ (setadjoin @ sK76 @ sK77)))))) & (! [X3,X4,X5] : ((($true = (in @ X3 @ (setadjoin @ X4 @ X5))) | ((X3 != X4) & ((in @ X3 @ X5) != $true))) & ((X3 = X4) | ((in @ X3 @ X5) = $true) | ($true != (in @ X3 @ (setadjoin @ X4 @ X5))))) | (setadjoinAx != $true))),
% 0.17/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK75,sK76,sK77])],[f277,f278])).
% 0.17/0.41 thf(f278,plain,(
% 0.17/0.41 ? [X0,X1,X2] : ((((X0 != X1) & ($true != (in @ X0 @ X2))) | ($true != (in @ X0 @ (setadjoin @ X1 @ X2)))) & ((X0 = X1) | ($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ (setadjoin @ X1 @ X2))))) => ((((sK75 != sK76) & ($true != (in @ sK75 @ sK77))) | ($true != (in @ sK75 @ (setadjoin @ sK76 @ sK77)))) & ((sK75 = sK76) | ($true = (in @ sK75 @ sK77)) | ($true = (in @ sK75 @ (setadjoin @ sK76 @ sK77)))))),
% 0.17/0.41 introduced(choice_axiom,[])).
% 0.17/0.41 thf(f277,plain,(
% 0.17/0.41 ((setadjoinAx = $true) | ? [X0,X1,X2] : ((((X0 != X1) & ($true != (in @ X0 @ X2))) | ($true != (in @ X0 @ (setadjoin @ X1 @ X2)))) & ((X0 = X1) | ($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ (setadjoin @ X1 @ X2)))))) & (! [X3,X4,X5] : ((($true = (in @ X3 @ (setadjoin @ X4 @ X5))) | ((X3 != X4) & ((in @ X3 @ X5) != $true))) & ((X3 = X4) | ((in @ X3 @ X5) = $true) | ($true != (in @ X3 @ (setadjoin @ X4 @ X5))))) | (setadjoinAx != $true))),
% 0.17/0.41 inference(rectify,[],[f276])).
% 0.17/0.41 thf(f276,plain,(
% 0.17/0.41 ((setadjoinAx = $true) | ? [X0,X1,X2] : ((((X0 != X1) & ($true != (in @ X0 @ X2))) | ($true != (in @ X0 @ (setadjoin @ X1 @ X2)))) & ((X0 = X1) | ($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ (setadjoin @ X1 @ X2)))))) & (! [X0,X1,X2] : ((($true = (in @ X0 @ (setadjoin @ X1 @ X2))) | ((X0 != X1) & ($true != (in @ X0 @ X2)))) & ((X0 = X1) | ($true = (in @ X0 @ X2)) | ($true != (in @ X0 @ (setadjoin @ X1 @ X2))))) | (setadjoinAx != $true))),
% 0.17/0.41 inference(flattening,[],[f275])).
% 0.17/0.41 thf(f275,plain,(
% 0.17/0.41 ((setadjoinAx = $true) | ? [X0,X1,X2] : ((((X0 != X1) & ($true != (in @ X0 @ X2))) | ($true != (in @ X0 @ (setadjoin @ X1 @ X2)))) & (((X0 = X1) | ($true = (in @ X0 @ X2))) | ($true = (in @ X0 @ (setadjoin @ X1 @ X2)))))) & (! [X0,X1,X2] : ((($true = (in @ X0 @ (setadjoin @ X1 @ X2))) | ((X0 != X1) & ($true != (in @ X0 @ X2)))) & (((X0 = X1) | ($true = (in @ X0 @ X2))) | ($true != (in @ X0 @ (setadjoin @ X1 @ X2))))) | (setadjoinAx != $true))),
% 0.17/0.41 inference(nnf_transformation,[],[f60])).
% 0.17/0.41 thf(f60,plain,(
% 0.17/0.41 (setadjoinAx = $true) <=> ! [X0,X1,X2] : (($true = (in @ X0 @ (setadjoin @ X1 @ X2))) <=> ((X0 = X1) | ($true = (in @ X0 @ X2))))),
% 0.17/0.41 inference(fool_elimination,[],[f59])).
% 0.17/0.41 thf(f59,plain,(
% 0.17/0.41 (setadjoinAx = ! [X0,X1,X2] : ((in @ X0 @ (setadjoin @ X1 @ X2)) <=> ((in @ X0 @ X2) | (X0 = X1))))),
% 0.17/0.41 inference(rectify,[],[f4])).
% 0.17/0.41 thf(f4,axiom,(
% 0.17/0.41 (setadjoinAx = ! [X2,X1,X3] : ((in @ X2 @ (setadjoin @ X1 @ X3)) <=> ((in @ X2 @ X3) | (X1 = X2))))),
% 0.17/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinAx)).
% 0.17/0.41 % SZS output end Proof for theBenchmark
% 0.17/0.41 % (22923)------------------------------
% 0.17/0.41 % (22923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (22923)Termination reason: Refutation
% 0.17/0.41
% 0.17/0.41 % (22923)Memory used [KB]: 6524
% 0.17/0.41 % (22923)Time elapsed: 0.074 s
% 0.17/0.41 % (22923)Instructions burned: 147 (million)
% 0.17/0.41 % (22923)------------------------------
% 0.17/0.41 % (22923)------------------------------
% 0.17/0.41 % (22917)Success in time 0.079 s
% 0.17/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------