TSTP Solution File: SEU647^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU647^1 : 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 : n018.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 03:50:18 EDT 2024
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU647^1 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 16:08:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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
% 0.14/0.38 % (1183)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)
% 0.14/0.38 % (1183)Instruction limit reached!
% 0.14/0.38 % (1183)------------------------------
% 0.14/0.38 % (1183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (1183)Termination reason: Unknown
% 0.14/0.38 % (1183)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (1183)Memory used [KB]: 1279
% 0.14/0.38 % (1183)Time elapsed: 0.002 s
% 0.14/0.38 % (1183)Instructions burned: 3 (million)
% 0.14/0.38 % (1183)------------------------------
% 0.14/0.38 % (1183)------------------------------
% 0.14/0.38 % (1179)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (1180)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)
% 0.14/0.38 % (1181)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 % (1182)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (1184)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)
% 0.14/0.38 % (1185)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (1186)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)
% 0.14/0.39 % (1182)Instruction limit reached!
% 0.14/0.39 % (1182)------------------------------
% 0.14/0.39 % (1182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (1182)Termination reason: Unknown
% 0.14/0.39 % (1182)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (1182)Memory used [KB]: 1279
% 0.14/0.39 % (1182)Time elapsed: 0.004 s
% 0.14/0.39 % (1182)Instructions burned: 3 (million)
% 0.14/0.39 % (1182)------------------------------
% 0.14/0.39 % (1182)------------------------------
% 0.14/0.39 % (1186)Instruction limit reached!
% 0.14/0.39 % (1186)------------------------------
% 0.14/0.39 % (1186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (1186)Termination reason: Unknown
% 0.14/0.39 % (1186)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (1186)Memory used [KB]: 1279
% 0.14/0.39 % (1186)Time elapsed: 0.004 s
% 0.14/0.39 % (1186)Instructions burned: 3 (million)
% 0.14/0.39 % (1186)------------------------------
% 0.14/0.39 % (1186)------------------------------
% 0.14/0.39 % (1180)Instruction limit reached!
% 0.14/0.39 % (1180)------------------------------
% 0.14/0.39 % (1180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (1180)Termination reason: Unknown
% 0.14/0.39 % (1180)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (1180)Memory used [KB]: 1279
% 0.14/0.39 % (1180)Time elapsed: 0.005 s
% 0.14/0.39 % (1180)Instructions burned: 5 (million)
% 0.14/0.39 % (1180)------------------------------
% 0.14/0.39 % (1180)------------------------------
% 0.14/0.39 % (1187)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)
% 0.14/0.40 % (1185)Instruction limit reached!
% 0.14/0.40 % (1185)------------------------------
% 0.14/0.40 % (1185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (1185)Termination reason: Unknown
% 0.14/0.40 % (1185)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (1185)Memory used [KB]: 1535
% 0.14/0.40 % (1185)Time elapsed: 0.012 s
% 0.14/0.40 % (1185)Instructions burned: 18 (million)
% 0.14/0.40 % (1185)------------------------------
% 0.14/0.40 % (1185)------------------------------
% 0.14/0.40 % (1181)Instruction limit reached!
% 0.14/0.40 % (1181)------------------------------
% 0.14/0.40 % (1181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (1181)Termination reason: Unknown
% 0.14/0.40 % (1181)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (1181)Memory used [KB]: 1791
% 0.14/0.40 % (1181)Time elapsed: 0.017 s
% 0.14/0.40 % (1181)Instructions burned: 29 (million)
% 0.14/0.40 % (1181)------------------------------
% 0.14/0.40 % (1181)------------------------------
% 0.14/0.40 % (1188)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)
% 0.14/0.40 % (1187)Instruction limit reached!
% 0.14/0.40 % (1187)------------------------------
% 0.14/0.40 % (1187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (1187)Termination reason: Unknown
% 0.14/0.40 % (1187)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (1187)Memory used [KB]: 1791
% 0.14/0.40 % (1187)Time elapsed: 0.012 s
% 0.14/0.40 % (1187)Instructions burned: 38 (million)
% 0.14/0.40 % (1187)------------------------------
% 0.14/0.40 % (1187)------------------------------
% 0.14/0.40 % (1189)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)
% 0.14/0.40 % (1190)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)
% 0.14/0.40 % (1189)Instruction limit reached!
% 0.14/0.40 % (1189)------------------------------
% 0.14/0.40 % (1189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (1189)Termination reason: Unknown
% 0.14/0.40 % (1189)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (1189)Memory used [KB]: 1279
% 0.14/0.40 % (1189)Time elapsed: 0.004 s
% 0.14/0.40 % (1189)Instructions burned: 4 (million)
% 0.14/0.40 % (1189)------------------------------
% 0.14/0.40 % (1189)------------------------------
% 0.14/0.41 % (1193)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)
% 0.14/0.41 % (1188)Instruction limit reached!
% 0.14/0.41 % (1188)------------------------------
% 0.14/0.41 % (1188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (1188)Termination reason: Unknown
% 0.14/0.41 % (1188)Termination phase: Property scanning
% 0.14/0.41
% 0.14/0.41 % (1188)Memory used [KB]: 1535
% 0.14/0.41 % (1188)Time elapsed: 0.012 s
% 0.14/0.41 % (1188)Instructions burned: 17 (million)
% 0.14/0.41 % (1188)------------------------------
% 0.14/0.41 % (1188)------------------------------
% 0.14/0.41 % (1193)Instruction limit reached!
% 0.14/0.41 % (1193)------------------------------
% 0.14/0.41 % (1193)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (1193)Termination reason: Unknown
% 0.14/0.41 % (1193)Termination phase: shuffling
% 0.14/0.41
% 0.14/0.41 % (1193)Memory used [KB]: 1407
% 0.14/0.41 % (1193)Time elapsed: 0.003 s
% 0.14/0.41 % (1193)Instructions burned: 5 (million)
% 0.14/0.41 % (1193)------------------------------
% 0.14/0.41 % (1193)------------------------------
% 0.21/0.41 % (1191)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (1192)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (1191)Instruction limit reached!
% 0.21/0.42 % (1191)------------------------------
% 0.21/0.42 % (1191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (1191)Termination reason: Unknown
% 0.21/0.42 % (1191)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (1191)Memory used [KB]: 1407
% 0.21/0.42 % (1191)Time elapsed: 0.006 s
% 0.21/0.42 % (1191)Instructions burned: 7 (million)
% 0.21/0.42 % (1191)------------------------------
% 0.21/0.42 % (1191)------------------------------
% 0.21/0.42 % (1194)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)
% 0.21/0.42 % (1196)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)
% 0.21/0.42 % (1194)Instruction limit reached!
% 0.21/0.42 % (1194)------------------------------
% 0.21/0.42 % (1194)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (1194)Termination reason: Unknown
% 0.21/0.42 % (1194)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (1194)Memory used [KB]: 1279
% 0.21/0.42 % (1194)Time elapsed: 0.005 s
% 0.21/0.42 % (1194)Instructions burned: 4 (million)
% 0.21/0.42 % (1194)------------------------------
% 0.21/0.42 % (1194)------------------------------
% 0.21/0.42 % (1196)Instruction limit reached!
% 0.21/0.42 % (1196)------------------------------
% 0.21/0.42 % (1196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (1196)Termination reason: Unknown
% 0.21/0.42 % (1196)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (1196)Memory used [KB]: 1407
% 0.21/0.42 % (1196)Time elapsed: 0.003 s
% 0.21/0.42 % (1196)Instructions burned: 5 (million)
% 0.21/0.42 % (1196)------------------------------
% 0.21/0.42 % (1196)------------------------------
% 0.21/0.42 % (1192)Instruction limit reached!
% 0.21/0.42 % (1192)------------------------------
% 0.21/0.42 % (1192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (1192)Termination reason: Unknown
% 0.21/0.42 % (1192)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (1192)Memory used [KB]: 1663
% 0.21/0.42 % (1192)Time elapsed: 0.011 s
% 0.21/0.42 % (1192)Instructions burned: 16 (million)
% 0.21/0.42 % (1192)------------------------------
% 0.21/0.42 % (1192)------------------------------
% 0.21/0.43 % (1195)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)
% 0.21/0.43 % (1199)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)
% 0.21/0.43 % (1195)Instruction limit reached!
% 0.21/0.43 % (1195)------------------------------
% 0.21/0.43 % (1195)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (1195)Termination reason: Unknown
% 0.21/0.43 % (1195)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (1195)Memory used [KB]: 1407
% 0.21/0.43 % (1195)Time elapsed: 0.008 s
% 0.21/0.43 % (1195)Instructions burned: 8 (million)
% 0.21/0.43 % (1195)------------------------------
% 0.21/0.43 % (1195)------------------------------
% 0.21/0.43 % (1197)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43 % (1197)Instruction limit reached!
% 0.21/0.43 % (1197)------------------------------
% 0.21/0.43 % (1197)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (1197)Termination reason: Unknown
% 0.21/0.43 % (1197)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (1197)Memory used [KB]: 1279
% 0.21/0.43 % (1197)Time elapsed: 0.004 s
% 0.21/0.43 % (1197)Instructions burned: 4 (million)
% 0.21/0.43 % (1197)------------------------------
% 0.21/0.43 % (1197)------------------------------
% 0.21/0.44 % (1199)Instruction limit reached!
% 0.21/0.44 % (1199)------------------------------
% 0.21/0.44 % (1199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (1199)Termination reason: Unknown
% 0.21/0.44 % (1199)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (1199)Memory used [KB]: 1663
% 0.21/0.44 % (1199)Time elapsed: 0.007 s
% 0.21/0.44 % (1199)Instructions burned: 19 (million)
% 0.21/0.44 % (1199)------------------------------
% 0.21/0.44 % (1199)------------------------------
% 0.21/0.44 % (1200)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.44 % (1201)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (1201)Instruction limit reached!
% 0.21/0.44 % (1201)------------------------------
% 0.21/0.44 % (1201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (1201)Termination reason: Unknown
% 0.21/0.44 % (1201)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (1201)Memory used [KB]: 1407
% 0.21/0.44 % (1201)Time elapsed: 0.006 s
% 0.21/0.44 % (1201)Instructions burned: 7 (million)
% 0.21/0.44 % (1201)------------------------------
% 0.21/0.44 % (1201)------------------------------
% 0.21/0.45 % (1208)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.45 % (1208)Instruction limit reached!
% 0.21/0.45 % (1208)------------------------------
% 0.21/0.45 % (1208)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (1208)Termination reason: Unknown
% 0.21/0.45 % (1208)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (1208)Memory used [KB]: 1407
% 0.21/0.45 % (1208)Time elapsed: 0.003 s
% 0.21/0.45 % (1208)Instructions burned: 6 (million)
% 0.21/0.45 % (1208)------------------------------
% 0.21/0.45 % (1208)------------------------------
% 0.21/0.45 % (1207)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)
% 0.21/0.45 % (1206)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)
% 0.21/0.46 % (1210)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)
% 0.21/0.46 % (1207)Instruction limit reached!
% 0.21/0.46 % (1207)------------------------------
% 0.21/0.46 % (1207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (1207)Termination reason: Unknown
% 0.21/0.46 % (1207)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (1207)Memory used [KB]: 1663
% 0.21/0.46 % (1207)Time elapsed: 0.013 s
% 0.21/0.46 % (1207)Instructions burned: 21 (million)
% 0.21/0.46 % (1207)------------------------------
% 0.21/0.46 % (1207)------------------------------
% 0.21/0.46 % (1210)Instruction limit reached!
% 0.21/0.46 % (1210)------------------------------
% 0.21/0.46 % (1210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (1210)Termination reason: Unknown
% 0.21/0.46 % (1210)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (1210)Memory used [KB]: 1407
% 0.21/0.46 % (1210)Time elapsed: 0.006 s
% 0.21/0.46 % (1210)Instructions burned: 7 (million)
% 0.21/0.46 % (1210)------------------------------
% 0.21/0.46 % (1210)------------------------------
% 0.21/0.46 % (1212)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.48 % (1216)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 (2998ds/19Mi)
% 0.21/0.48 % (1215)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 (2998ds/779Mi)
% 0.21/0.48 % (1179)Instruction limit reached!
% 0.21/0.48 % (1179)------------------------------
% 0.21/0.48 % (1179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (1179)Termination reason: Unknown
% 0.21/0.48 % (1179)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (1179)Memory used [KB]: 7547
% 0.21/0.48 % (1179)Time elapsed: 0.098 s
% 0.21/0.48 % (1179)Instructions burned: 183 (million)
% 0.21/0.48 % (1179)------------------------------
% 0.21/0.48 % (1179)------------------------------
% 0.21/0.49 % (1216)Instruction limit reached!
% 0.21/0.49 % (1216)------------------------------
% 0.21/0.49 % (1216)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (1216)Termination reason: Unknown
% 0.21/0.49 % (1216)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (1216)Memory used [KB]: 1663
% 0.21/0.49 % (1216)Time elapsed: 0.011 s
% 0.21/0.49 % (1216)Instructions burned: 20 (million)
% 0.21/0.49 % (1216)------------------------------
% 0.21/0.49 % (1216)------------------------------
% 0.21/0.49 % (1230)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.50 % (1233)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.51 % (1233)Instruction limit reached!
% 0.21/0.51 % (1233)------------------------------
% 0.21/0.51 % (1233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (1233)Termination reason: Unknown
% 0.21/0.51 % (1233)Termination phase: shuffling
% 0.21/0.51
% 0.21/0.51 % (1233)Memory used [KB]: 1663
% 0.21/0.51 % (1233)Time elapsed: 0.010 s
% 0.21/0.51 % (1233)Instructions burned: 19 (million)
% 0.21/0.51 % (1233)------------------------------
% 0.21/0.51 % (1233)------------------------------
% 0.21/0.52 % (1248)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.52 % (1248)Instruction limit reached!
% 0.21/0.52 % (1248)------------------------------
% 0.21/0.52 % (1248)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (1248)Termination reason: Unknown
% 0.21/0.52 % (1248)Termination phase: shuffling
% 0.21/0.52
% 0.21/0.52 % (1248)Memory used [KB]: 1279
% 0.21/0.52 % (1248)Time elapsed: 0.002 s
% 0.21/0.52 % (1248)Instructions burned: 3 (million)
% 0.21/0.52 % (1248)------------------------------
% 0.21/0.52 % (1248)------------------------------
% 0.21/0.53 % (1184)Instruction limit reached!
% 0.21/0.53 % (1184)------------------------------
% 0.21/0.53 % (1184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53 % (1184)Termination reason: Unknown
% 0.21/0.53 % (1184)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (1184)Memory used [KB]: 8187
% 0.21/0.53 % (1184)Time elapsed: 0.142 s
% 0.21/0.53 % (1184)Instructions burned: 276 (million)
% 0.21/0.53 % (1184)------------------------------
% 0.21/0.53 % (1184)------------------------------
% 0.21/0.53 % (1259)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.53 % (1263)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 (2998ds/127Mi)
% 0.21/0.54 % (1206)First to succeed.
% 0.21/0.54 % (1259)Instruction limit reached!
% 0.21/0.54 % (1259)------------------------------
% 0.21/0.54 % (1259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (1259)Termination reason: Unknown
% 0.21/0.54 % (1259)Termination phase: Property scanning
% 0.21/0.54
% 0.21/0.54 % (1259)Memory used [KB]: 1791
% 0.21/0.54 % (1259)Time elapsed: 0.011 s
% 0.21/0.54 % (1259)Instructions burned: 30 (million)
% 0.21/0.54 % (1259)------------------------------
% 0.21/0.54 % (1259)------------------------------
% 0.21/0.54 % (1206)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% 0.21/0.54 thf(func_def_0, type, in: $i > $i > $o).
% 0.21/0.54 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.21/0.54 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.21/0.54 thf(func_def_8, type, powerset: $i > $i).
% 0.21/0.54 thf(func_def_10, type, setunion: $i > $i).
% 0.21/0.54 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.21/0.54 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_26, type, prop2set: $o > $i).
% 0.21/0.54 thf(func_def_36, type, nonempty: $i > $o).
% 0.21/0.54 thf(func_def_69, type, set2prop: $i > $o).
% 0.21/0.54 thf(func_def_88, type, subset: $i > $i > $o).
% 0.21/0.54 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.21/0.54 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.21/0.54 thf(func_def_114, type, binunion: $i > $i > $i).
% 0.21/0.54 thf(func_def_122, type, binintersect: $i > $i > $i).
% 0.21/0.54 thf(func_def_135, type, regular: $i > $o).
% 0.21/0.54 thf(func_def_136, type, setminus: $i > $i > $i).
% 0.21/0.54 thf(func_def_147, type, symdiff: $i > $i > $i).
% 0.21/0.54 thf(func_def_153, type, iskpair: $i > $o).
% 0.21/0.54 thf(func_def_158, type, kpair: $i > $i > $i).
% 0.21/0.54 thf(func_def_160, type, cartprod: $i > $i > $i).
% 0.21/0.54 thf(func_def_177, type, singleton: $i > $o).
% 0.21/0.54 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 0.21/0.54 thf(func_def_184, type, atmost1p: $i > $o).
% 0.21/0.54 thf(func_def_185, type, atleast2p: $i > $o).
% 0.21/0.54 thf(func_def_186, type, atmost2p: $i > $o).
% 0.21/0.54 thf(func_def_187, type, upairsetp: $i > $o).
% 0.21/0.54 thf(func_def_191, type, kfst: $i > $i).
% 0.21/0.54 thf(func_def_208, type, sP2: $i > $i > $o).
% 0.21/0.54 thf(func_def_209, type, sP3: $i > $o).
% 0.21/0.54 thf(func_def_210, type, sP4: $i > $i > $o).
% 0.21/0.54 thf(func_def_211, type, sP5: $i > $i > $o).
% 0.21/0.54 thf(func_def_213, type, sP7: $i > $i > $i > $o > $o).
% 0.21/0.54 thf(func_def_222, type, sK16: $i > $o).
% 0.21/0.54 thf(func_def_247, type, sK41: $i > $o).
% 0.21/0.54 thf(func_def_258, type, sK52: $i > $o).
% 0.21/0.54 thf(func_def_259, type, sK53: $i > $i).
% 0.21/0.54 thf(func_def_260, type, sK54: ($i > $o) > $i).
% 0.21/0.54 thf(func_def_261, type, sK55: $i > $i > $i).
% 0.21/0.54 thf(func_def_267, type, sK61: $i > $o).
% 0.21/0.54 thf(func_def_274, type, sK68: $i > $i > $i).
% 0.21/0.54 thf(func_def_275, type, sK69: $i > $i > $i).
% 0.21/0.54 thf(func_def_276, type, sK70: ($i > $o) > $i).
% 0.21/0.54 thf(func_def_277, type, sK71: $i > $o).
% 0.21/0.54 thf(func_def_278, type, sK72: $i > $o).
% 0.21/0.54 thf(func_def_281, type, sK75: $i > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_291, type, sK85: $i > $o).
% 0.21/0.54 thf(func_def_296, type, sK90: $i > $o).
% 0.21/0.54 thf(func_def_298, type, sK92: ($i > $o) > $i > $i).
% 0.21/0.54 thf(func_def_305, type, sK99: $i > $i).
% 0.21/0.54 thf(func_def_308, type, sK102: $i > $i > $i).
% 0.21/0.54 thf(func_def_312, type, sK106: $i > $o).
% 0.21/0.54 thf(func_def_313, type, sK107: $i > $o).
% 0.21/0.54 thf(func_def_314, type, sK108: ($i > $o) > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_315, type, sK109: ($i > $o) > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_318, type, sK112: $i > $i > $i).
% 0.21/0.54 thf(func_def_319, type, sK113: $i > $i).
% 0.21/0.54 thf(func_def_322, type, sK116: $i > $i).
% 0.21/0.54 thf(func_def_342, type, sK136: $o > $i > $i > $i).
% 0.21/0.54 thf(func_def_353, type, sK147: $i > $o).
% 0.21/0.54 thf(func_def_355, type, sK149: $i > ($i > $o) > $i > $i).
% 0.21/0.54 thf(func_def_356, type, sK150: $i > $o).
% 0.21/0.54 thf(func_def_358, type, sK152: ($i > $o) > $i).
% 0.21/0.54 thf(func_def_359, type, sK153: ($i > $o) > $i).
% 0.21/0.54 thf(func_def_364, type, sK158: $i > $i > $o).
% 0.21/0.54 thf(func_def_365, type, sK159: $i > $i).
% 0.21/0.54 thf(func_def_366, type, sK160: $i > $i).
% 0.21/0.54 thf(func_def_367, type, sK161: ($i > $i > $o) > $i > $i).
% 0.21/0.54 thf(func_def_368, type, sK162: $i > ($i > $i > $o) > $i > $i).
% 0.21/0.54 thf(func_def_369, type, sK163: ($i > $i > $o) > $i > $i).
% 0.21/0.54 thf(func_def_383, type, sK177: $i > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_384, type, sK178: $i > $o).
% 0.21/0.54 thf(func_def_393, type, sK187: $i > $o).
% 0.21/0.54 thf(func_def_396, type, sK190: $i > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_419, type, sK213: $i > $o).
% 0.21/0.54 thf(func_def_423, type, sK217: $i > $o).
% 0.21/0.54 thf(func_def_425, type, sK219: ($i > $o) > $i > $i).
% 0.21/0.54 thf(func_def_432, type, sK226: $i > $i > $i > $i).
% 0.21/0.54 thf(func_def_433, type, sK227: $i > $i > $i > $i).
% 0.21/0.54 thf(func_def_442, type, sK236: $i > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_443, type, sK237: $i > $o).
% 0.21/0.54 thf(func_def_452, type, sK246: $i > $o).
% 0.21/0.54 thf(func_def_453, type, sK247: $i > $i).
% 0.21/0.54 thf(func_def_454, type, sK248: ($i > $o) > $i).
% 0.21/0.54 thf(func_def_460, type, sK254: $i > $i > $i).
% 0.21/0.54 thf(func_def_464, type, sK258: $i > $i > $i).
% 0.21/0.54 thf(func_def_468, type, sK262: $i > $o).
% 0.21/0.54 thf(func_def_470, type, sK264: ($i > $o) > $i > $i).
% 0.21/0.54 thf(func_def_471, type, sK265: ($i > $o) > $i > $i).
% 0.21/0.54 thf(func_def_472, type, sK266: $i > $o).
% 0.21/0.54 thf(func_def_476, type, sK270: $i > $o).
% 0.21/0.54 thf(func_def_481, type, sK275: $i > $i > $i).
% 0.21/0.54 thf(func_def_482, type, sK276: $i > $i > $i).
% 0.21/0.54 thf(func_def_483, type, sK277: $i > $i > $i).
% 0.21/0.54 thf(func_def_484, type, sK278: $i > $i > $i).
% 0.21/0.54 thf(func_def_485, type, sK279: $i > $i > $i > $i).
% 0.21/0.54 thf(func_def_486, type, sK280: $i > $i).
% 0.21/0.54 thf(func_def_487, type, sK281: $i > $i).
% 0.21/0.54 thf(func_def_488, type, sK282: $i > $i).
% 0.21/0.54 thf(func_def_489, type, sK283: $i > $i).
% 0.21/0.54 thf(func_def_490, type, sK284: $i > $i > $i > $i).
% 0.21/0.54 thf(func_def_491, type, sK285: $i > $i > $i > $i).
% 0.21/0.54 thf(func_def_492, type, sK286: $i > $i > $i).
% 0.21/0.54 thf(func_def_493, type, sK287: $i > $i > $i).
% 0.21/0.54 thf(func_def_494, type, sK288: $i > $i > $i).
% 0.21/0.54 thf(func_def_495, type, sK289: $i > $i).
% 0.21/0.54 thf(func_def_496, type, sK290: $i > $i > $i).
% 0.21/0.54 thf(func_def_498, type, sK292: $i > $i).
% 0.21/0.54 thf(func_def_499, type, sK293: $i > $i).
% 0.21/0.54 thf(func_def_504, type, sK298: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.21/0.54 thf(func_def_505, type, sK299: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.21/0.54 thf(func_def_508, type, sK302: $i > $o).
% 0.21/0.54 thf(func_def_509, type, sK303: $i > $o).
% 0.21/0.54 thf(func_def_517, type, sK311: $i > $i > $i).
% 0.21/0.54 thf(func_def_545, type, sK339: $i > $o).
% 0.21/0.54 thf(func_def_552, type, sK346: $i > $i > $i).
% 0.21/0.54 thf(func_def_554, type, sK348: $i > $o).
% 0.21/0.54 thf(func_def_560, type, sK354: $i > $o).
% 0.21/0.54 thf(func_def_561, type, sK355: $i > $o).
% 0.21/0.54 thf(func_def_562, type, sK356: ($i > $o) > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_563, type, sK357: ($i > $o) > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_570, type, sK364: $i > $i).
% 0.21/0.54 thf(func_def_574, type, sK368: $i > $o).
% 0.21/0.54 thf(func_def_577, type, sK371: $i > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_578, type, sK372: $i > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_588, type, sK382: $i > $o).
% 0.21/0.54 thf(func_def_591, type, sK385: $i > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_606, type, sK400: $i > $i).
% 0.21/0.54 thf(func_def_608, type, sK402: $i > $i).
% 0.21/0.54 thf(func_def_610, type, sK404: $i > $o).
% 0.21/0.54 thf(func_def_620, type, sK414: $i > $i > $i).
% 0.21/0.54 thf(func_def_623, type, sK417: $i > $i).
% 0.21/0.54 thf(func_def_626, type, sK420: $i > $o).
% 0.21/0.54 thf(func_def_628, type, sK422: $i > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_631, type, sK425: $i > ($i > $o) > $i).
% 0.21/0.54 thf(func_def_632, type, sK426: $i > $o).
% 0.21/0.54 thf(func_def_641, type, sK435: $i > $o).
% 0.21/0.54 thf(func_def_654, type, sK448: $i > $o).
% 0.21/0.54 thf(func_def_663, type, ph457: !>[X0: $tType]:(X0)).
% 0.21/0.54 thf(f2550,plain,(
% 0.21/0.54 $false),
% 0.21/0.54 inference(trivial_inequality_removal,[],[f2549])).
% 0.21/0.54 thf(f2549,plain,(
% 0.21/0.54 (sK180 != sK180)),
% 0.21/0.54 inference(superposition,[],[f1864,f2545])).
% 0.21/0.54 thf(f2545,plain,(
% 0.21/0.54 (sK182 = sK180)),
% 0.21/0.54 inference(trivial_inequality_removal,[],[f2544])).
% 0.21/0.54 thf(f2544,plain,(
% 0.21/0.54 (sK182 = sK180) | ($true != $true)),
% 0.21/0.54 inference(forward_demodulation,[],[f2508,f1847])).
% 0.21/0.54 thf(f1847,plain,(
% 0.21/0.54 (setukpairinjL1 = $true)),
% 0.21/0.54 inference(cnf_transformation,[],[f1015])).
% 0.21/0.54 thf(f1015,plain,(
% 0.21/0.54 (upairsetE = $true) & (kpairp = $true) & (upairsetIL = $true) & (ex1I2 = $true) & (sepInPowerset = $true) & (setminusSubset1 = $true) & (setextAx = $true) & (setunionI = $true) & (subsetTrans = $true) & (powerset__Cong = $true) & (nonemptyI1 = $true) & (notequalI2 = $true) & (subsetRefl = $true) & (binunionIL = $true) & (descr__Cong = $true) & (singletoninpowerset = $true) & (symdiffE = $true) & (binunionIR = $true) & (exuI1 = $true) & ((sK182 != sK180) & ((setadjoin @ (setadjoin @ sK182 @ emptyset) @ (setadjoin @ (setadjoin @ sK182 @ (setadjoin @ sK181 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK180 @ emptyset) @ (setadjoin @ (setadjoin @ sK180 @ (setadjoin @ sK183 @ emptyset)) @ emptyset)))) & (eqimpsubset2 = $true) & (inCongP = $true) & (binintersectSubset1 = $true) & (symdiffIneg1 = $true) & (setukpairIL = $true) & (setminusILneg = $true) & (setext = $true) & (binintersectI = $true) & (sepSubset = $true) & (disjointsetsI1 = $true) & (kfstpairEq = $true) & (ex1E1 = $true) & (subsetE2 = $true) & (singletoninpowunion = $true) & (notequalI1 = $true) & (setukpairinjL1 = $true) & (setminusER = $true) & (setunionE2 = $true) & (eqimpsubset1 = $true) & (dsetconstr__Cong = $true) & (binintersectEL = $true) & (notsubsetI = $true) & (symdiffI1 = $true) & (emptyset__Cong = $true) & (kfstsingleton = $true) & (exuE1 = $true) & (bs114d = $true) & (notdallE = $true) & (notinsingleton = $true) & (ubforcartprodlem1 = $true) & (binunionRsub = $true) & (binintersectER = $true) & (binunionE = $true) & (dsetconstrER = $true) & (emptysetE = $true) & (omega__Cong = $true) & (setadjoinOr = $true) & (nonemptyE1 = $true) & (quantDeMorgan3 = $true) & (setextsub = $true) & (emptysetAx = $true) & (emptyinunitempty = $true) & (prop2setI = $true) & (powersetAx = $true) & (powersetE1 = $true) & (quantDeMorgan2 = $true) & (vacuousDall = $true) & (setadjoin__Cong = $true) & (binintersectSubset5 = $true) & (secondinupair = $true) & (setadjoinSub2 = $true) & (nonemptyI = $true) & (setadjoinIR = $true) & (setunionsingleton1 = $true) & (binunionEcases = $true) & (subPowSU = $true) & (setunionE = $true) & (subsetI2 = $true) & (setminusERneg = $true) & (exu__Cong = $true) & (upairsetIR = $true) & (upairinpowunion = $true) & (powersetsubset = $true) & (setunionsingleton = $true) & (omegaSAx = $true) & (dsetconstrI = $true) & (replAx = $true) & (setadjoinIL = $true) & (setunionAx = $true) & (setminusLsub = $true) & (subsetE = $true) & (theprop = $true) & (setoftrueEq = $true) & (emptyinPowerset = $true) & (symdiffIneg2 = $true) & (emptysetsubset = $true) & (ubforcartprodlem3 = $true) & (kpairiskpair = $true) & (setbeta = $true) & (inPowerset = $true) & (binintersectRsub = $true) & (upairset2E = $true) & (setadjoinE = $true) & (prop2set2propI = $true) & (singletonprop = $true) & (notinemptyset = $true) & (uniqinunit = $true) & (quantDeMorgan4 = $true) & (setminusI = $true) & (powersetI1 = $true) & (emptyE1 = $true) & (exuE2 = $true) & (setminusSubset2 = $true) & (upairset2IR = $true) & (exuE3e = $true) & (ubforcartprodlem2 = $true) & (dsetconstrEL = $true) & (exuEu = $true) & (subset2powerset = $true) & (powersetE = $true) & (nonemptyImpWitness = $true) & (subsetemptysetimpeq = $true) & (cartprodmempair1 = $true) & (symdiffI2 = $true) & (upairsubunion = $true) & (emptyInPowerset = $true) & (setadjoinAx = $true) & (binintersectSubset4 = $true) & (ex1I = $true) & (setminusIRneg = $true) & (cartprodpairin = $true) & (subsetI1 = $true) & (foundationAx = $true) & (descrp = $true) & (setukpairIR = $true) & (setunionsingleton2 = $true) & (setminusEL = $true) & (noeltsimpempty = $true) & (exuI2 = $true) & (notdexE = $true) & (cartprodmempair = $true) & (exuE3u = $true) & (singletonsubset = $true) & (emptysetimpfalse = $true) & (setadjoinSub = $true) & (singletonsuniq = $true) & (binintersectLsub = $true) & (setunion__Cong = $true) & (binintersectSubset3 = $true) & (omega0Ax = $true) & (cartprodfstin = $true) & (emptyI = $true) & (wellorderingAx = $true) & (eqinunit = $true) & (binintersectSubset2 = $true) & (binunionLsub = $true) & (singletonsswitch = $true) & (setminusELneg = $true) & (quantDeMorgan1 = $true) & (exuI3 = $true) & (omegaIndAx = $true) & (powersetI = $true) & (in__Cong = $true) & (prop2setE = $true)),
% 0.21/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK180,sK181,sK182,sK183])],[f657,f1014])).
% 0.21/0.54 thf(f1014,plain,(
% 0.21/0.54 ? [X0,X1,X2,X3] : ((X0 != X2) & ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) => ((sK182 != sK180) & ((setadjoin @ (setadjoin @ sK182 @ emptyset) @ (setadjoin @ (setadjoin @ sK182 @ (setadjoin @ sK181 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK180 @ emptyset) @ (setadjoin @ (setadjoin @ sK180 @ (setadjoin @ sK183 @ emptyset)) @ emptyset))))),
% 0.21/0.54 introduced(choice_axiom,[])).
% 0.21/0.54 thf(f657,plain,(
% 0.21/0.54 (upairsetE = $true) & (kpairp = $true) & (upairsetIL = $true) & (ex1I2 = $true) & (sepInPowerset = $true) & (setminusSubset1 = $true) & (setextAx = $true) & (setunionI = $true) & (subsetTrans = $true) & (powerset__Cong = $true) & (nonemptyI1 = $true) & (notequalI2 = $true) & (subsetRefl = $true) & (binunionIL = $true) & (descr__Cong = $true) & (singletoninpowerset = $true) & (symdiffE = $true) & (binunionIR = $true) & (exuI1 = $true) & ? [X0,X1,X2,X3] : ((X0 != X2) & ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) & (eqimpsubset2 = $true) & (inCongP = $true) & (binintersectSubset1 = $true) & (symdiffIneg1 = $true) & (setukpairIL = $true) & (setminusILneg = $true) & (setext = $true) & (binintersectI = $true) & (sepSubset = $true) & (disjointsetsI1 = $true) & (kfstpairEq = $true) & (ex1E1 = $true) & (subsetE2 = $true) & (singletoninpowunion = $true) & (notequalI1 = $true) & (setukpairinjL1 = $true) & (setminusER = $true) & (setunionE2 = $true) & (eqimpsubset1 = $true) & (dsetconstr__Cong = $true) & (binintersectEL = $true) & (notsubsetI = $true) & (symdiffI1 = $true) & (emptyset__Cong = $true) & (kfstsingleton = $true) & (exuE1 = $true) & (bs114d = $true) & (notdallE = $true) & (notinsingleton = $true) & (ubforcartprodlem1 = $true) & (binunionRsub = $true) & (binintersectER = $true) & (binunionE = $true) & (dsetconstrER = $true) & (emptysetE = $true) & (omega__Cong = $true) & (setadjoinOr = $true) & (nonemptyE1 = $true) & (quantDeMorgan3 = $true) & (setextsub = $true) & (emptysetAx = $true) & (emptyinunitempty = $true) & (prop2setI = $true) & (powersetAx = $true) & (powersetE1 = $true) & (quantDeMorgan2 = $true) & (vacuousDall = $true) & (setadjoin__Cong = $true) & (binintersectSubset5 = $true) & (secondinupair = $true) & (setadjoinSub2 = $true) & (nonemptyI = $true) & (setadjoinIR = $true) & (setunionsingleton1 = $true) & (binunionEcases = $true) & (subPowSU = $true) & (setunionE = $true) & (subsetI2 = $true) & (setminusERneg = $true) & (exu__Cong = $true) & (upairsetIR = $true) & (upairinpowunion = $true) & (powersetsubset = $true) & (setunionsingleton = $true) & (omegaSAx = $true) & (dsetconstrI = $true) & (replAx = $true) & (setadjoinIL = $true) & (setunionAx = $true) & (setminusLsub = $true) & (subsetE = $true) & (theprop = $true) & (setoftrueEq = $true) & (emptyinPowerset = $true) & (symdiffIneg2 = $true) & (emptysetsubset = $true) & (ubforcartprodlem3 = $true) & (kpairiskpair = $true) & (setbeta = $true) & (inPowerset = $true) & (binintersectRsub = $true) & (upairset2E = $true) & (setadjoinE = $true) & (prop2set2propI = $true) & (singletonprop = $true) & (notinemptyset = $true) & (uniqinunit = $true) & (quantDeMorgan4 = $true) & (setminusI = $true) & (powersetI1 = $true) & (emptyE1 = $true) & (exuE2 = $true) & (setminusSubset2 = $true) & (upairset2IR = $true) & (exuE3e = $true) & (ubforcartprodlem2 = $true) & (dsetconstrEL = $true) & (exuEu = $true) & (subset2powerset = $true) & (powersetE = $true) & (nonemptyImpWitness = $true) & (subsetemptysetimpeq = $true) & (cartprodmempair1 = $true) & (symdiffI2 = $true) & (upairsubunion = $true) & (emptyInPowerset = $true) & (setadjoinAx = $true) & (binintersectSubset4 = $true) & (ex1I = $true) & (setminusIRneg = $true) & (cartprodpairin = $true) & (subsetI1 = $true) & (foundationAx = $true) & (descrp = $true) & (setukpairIR = $true) & (setunionsingleton2 = $true) & (setminusEL = $true) & (noeltsimpempty = $true) & (exuI2 = $true) & (notdexE = $true) & (cartprodmempair = $true) & (exuE3u = $true) & (singletonsubset = $true) & (emptysetimpfalse = $true) & (setadjoinSub = $true) & (singletonsuniq = $true) & (binintersectLsub = $true) & (setunion__Cong = $true) & (binintersectSubset3 = $true) & (omega0Ax = $true) & (cartprodfstin = $true) & (emptyI = $true) & (wellorderingAx = $true) & (eqinunit = $true) & (binintersectSubset2 = $true) & (binunionLsub = $true) & (singletonsswitch = $true) & (setminusELneg = $true) & (quantDeMorgan1 = $true) & (exuI3 = $true) & (omegaIndAx = $true) & (powersetI = $true) & (in__Cong = $true) & (prop2setE = $true)),
% 0.21/0.54 inference(flattening,[],[f656])).
% 0.21/0.54 thf(f656,plain,(
% 0.21/0.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2,X3] : ((X0 != X2) & ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $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)),
% 0.21/0.54 inference(ennf_transformation,[],[f506])).
% 0.21/0.54 thf(f506,plain,(
% 0.21/0.54 ~((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) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ! [X0,X1,X2,X3] : (((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) => (X0 = X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.54 inference(fool_elimination,[],[f505])).
% 0.21/0.54 thf(f505,plain,(
% 0.21/0.54 ~(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 => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => ! [X0,X1,X2,X3] : (((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) => (X0 = X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.54 inference(rectify,[],[f171])).
% 0.21/0.54 thf(f171,negated_conjecture,(
% 0.21/0.54 ~(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 => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => ! [X1,X10,X8,X2] : (((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X8 @ emptyset) @ (setadjoin @ (setadjoin @ X8 @ (setadjoin @ X10 @ emptyset)) @ emptyset))) => (X1 = X8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.54 inference(negated_conjecture,[],[f170])).
% 0.21/0.54 thf(f170,conjecture,(
% 0.21/0.54 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 => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => ! [X1,X10,X8,X2] : (((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X8 @ emptyset) @ (setadjoin @ (setadjoin @ X8 @ (setadjoin @ X10 @ emptyset)) @ emptyset))) => (X1 = X8))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setukpairinjL2)).
% 0.21/0.54 thf(f2508,plain,(
% 0.21/0.54 (sK182 = sK180) | (setukpairinjL1 != $true)),
% 0.21/0.54 inference(trivial_inequality_removal,[],[f2501])).
% 0.21/0.54 thf(f2501,plain,(
% 0.21/0.54 ($true != $true) | (sK182 = sK180) | (setukpairinjL1 != $true)),
% 0.21/0.54 inference(superposition,[],[f1938,f2441])).
% 0.21/0.54 thf(f2441,plain,(
% 0.21/0.54 ((in @ (setadjoin @ sK182 @ emptyset) @ (setadjoin @ (setadjoin @ sK180 @ emptyset) @ (setadjoin @ (setadjoin @ sK180 @ (setadjoin @ sK183 @ emptyset)) @ emptyset))) = $true)),
% 0.21/0.54 inference(trivial_inequality_removal,[],[f2440])).
% 0.21/0.54 thf(f2440,plain,(
% 0.21/0.54 ($true != $true) | ((in @ (setadjoin @ sK182 @ emptyset) @ (setadjoin @ (setadjoin @ sK180 @ emptyset) @ (setadjoin @ (setadjoin @ sK180 @ (setadjoin @ sK183 @ emptyset)) @ emptyset))) = $true)),
% 0.21/0.54 inference(forward_demodulation,[],[f2426,f1756])).
% 0.21/0.54 thf(f1756,plain,(
% 0.21/0.54 (setadjoinAx = $true)),
% 0.21/0.54 inference(cnf_transformation,[],[f1015])).
% 0.21/0.54 thf(f2426,plain,(
% 0.21/0.54 ((in @ (setadjoin @ sK182 @ emptyset) @ (setadjoin @ (setadjoin @ sK180 @ emptyset) @ (setadjoin @ (setadjoin @ sK180 @ (setadjoin @ sK183 @ emptyset)) @ emptyset))) = $true) | (setadjoinAx != $true)),
% 0.21/0.54 inference(superposition,[],[f2312,f1863])).
% 0.21/0.54 thf(f1863,plain,(
% 0.21/0.54 ((setadjoin @ (setadjoin @ sK182 @ emptyset) @ (setadjoin @ (setadjoin @ sK182 @ (setadjoin @ sK181 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK180 @ emptyset) @ (setadjoin @ (setadjoin @ sK180 @ (setadjoin @ sK183 @ emptyset)) @ emptyset)))),
% 0.21/0.54 inference(cnf_transformation,[],[f1015])).
% 0.21/0.54 thf(f2312,plain,(
% 0.21/0.54 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ (setadjoin @ X1 @ X2)) = $true) | (setadjoinAx != $true)) )),
% 0.21/0.54 inference(equality_resolution,[],[f2203])).
% 0.21/0.54 thf(f2203,plain,(
% 0.21/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X1 @ (setadjoin @ X0 @ X2)) = $true) | (X0 != X1) | (setadjoinAx != $true)) )),
% 0.21/0.54 inference(cnf_transformation,[],[f1375])).
% 0.21/0.54 thf(f1375,plain,(
% 0.21/0.54 (! [X0,X1,X2] : ((((in @ X1 @ (setadjoin @ X0 @ X2)) = $true) | (($true != (in @ X1 @ X2)) & (X0 != X1))) & (($true = (in @ X1 @ X2)) | (X0 = X1) | ((in @ X1 @ (setadjoin @ X0 @ X2)) != $true))) | (setadjoinAx != $true)) & ((setadjoinAx = $true) | (((((in @ sK397 @ sK398) != $true) & (sK397 != sK396)) | ($true != (in @ sK397 @ (setadjoin @ sK396 @ sK398)))) & (((in @ sK397 @ sK398) = $true) | (sK397 = sK396) | ($true = (in @ sK397 @ (setadjoin @ sK396 @ sK398))))))),
% 0.21/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK396,sK397,sK398])],[f1373,f1374])).
% 0.21/0.54 thf(f1374,plain,(
% 0.21/0.54 ? [X3,X4,X5] : (((($true != (in @ X4 @ X5)) & (X3 != X4)) | ((in @ X4 @ (setadjoin @ X3 @ X5)) != $true)) & (($true = (in @ X4 @ X5)) | (X3 = X4) | ((in @ X4 @ (setadjoin @ X3 @ X5)) = $true))) => (((((in @ sK397 @ sK398) != $true) & (sK397 != sK396)) | ($true != (in @ sK397 @ (setadjoin @ sK396 @ sK398)))) & (((in @ sK397 @ sK398) = $true) | (sK397 = sK396) | ($true = (in @ sK397 @ (setadjoin @ sK396 @ sK398)))))),
% 0.21/0.54 introduced(choice_axiom,[])).
% 0.21/0.54 thf(f1373,plain,(
% 0.21/0.54 (! [X0,X1,X2] : ((((in @ X1 @ (setadjoin @ X0 @ X2)) = $true) | (($true != (in @ X1 @ X2)) & (X0 != X1))) & (($true = (in @ X1 @ X2)) | (X0 = X1) | ((in @ X1 @ (setadjoin @ X0 @ X2)) != $true))) | (setadjoinAx != $true)) & ((setadjoinAx = $true) | ? [X3,X4,X5] : (((($true != (in @ X4 @ X5)) & (X3 != X4)) | ((in @ X4 @ (setadjoin @ X3 @ X5)) != $true)) & (($true = (in @ X4 @ X5)) | (X3 = X4) | ((in @ X4 @ (setadjoin @ X3 @ X5)) = $true))))),
% 0.21/0.54 inference(rectify,[],[f1372])).
% 0.21/0.54 thf(f1372,plain,(
% 0.21/0.54 (! [X0,X1,X2] : ((((in @ X1 @ (setadjoin @ X0 @ X2)) = $true) | (($true != (in @ X1 @ X2)) & (X0 != X1))) & (($true = (in @ X1 @ X2)) | (X0 = X1) | ((in @ X1 @ (setadjoin @ X0 @ X2)) != $true))) | (setadjoinAx != $true)) & ((setadjoinAx = $true) | ? [X0,X1,X2] : (((($true != (in @ X1 @ X2)) & (X0 != X1)) | ((in @ X1 @ (setadjoin @ X0 @ X2)) != $true)) & (($true = (in @ X1 @ X2)) | (X0 = X1) | ((in @ X1 @ (setadjoin @ X0 @ X2)) = $true))))),
% 0.21/0.54 inference(flattening,[],[f1371])).
% 0.21/0.54 thf(f1371,plain,(
% 0.21/0.54 (! [X0,X1,X2] : ((((in @ X1 @ (setadjoin @ X0 @ X2)) = $true) | (($true != (in @ X1 @ X2)) & (X0 != X1))) & ((($true = (in @ X1 @ X2)) | (X0 = X1)) | ((in @ X1 @ (setadjoin @ X0 @ X2)) != $true))) | (setadjoinAx != $true)) & ((setadjoinAx = $true) | ? [X0,X1,X2] : (((($true != (in @ X1 @ X2)) & (X0 != X1)) | ((in @ X1 @ (setadjoin @ X0 @ X2)) != $true)) & ((($true = (in @ X1 @ X2)) | (X0 = X1)) | ((in @ X1 @ (setadjoin @ X0 @ X2)) = $true))))),
% 0.21/0.54 inference(nnf_transformation,[],[f228])).
% 0.21/0.54 thf(f228,plain,(
% 0.21/0.54 ! [X0,X1,X2] : (((in @ X1 @ (setadjoin @ X0 @ X2)) = $true) <=> (($true = (in @ X1 @ X2)) | (X0 = X1))) <=> (setadjoinAx = $true)),
% 0.21/0.54 inference(fool_elimination,[],[f227])).
% 0.21/0.54 thf(f227,plain,(
% 0.21/0.54 (! [X0,X1,X2] : ((in @ X1 @ (setadjoin @ X0 @ X2)) <=> ((X0 = X1) | (in @ X1 @ X2))) = setadjoinAx)),
% 0.21/0.54 inference(rectify,[],[f4])).
% 0.21/0.54 thf(f4,axiom,(
% 0.21/0.54 (! [X1,X2,X3] : ((in @ X2 @ (setadjoin @ X1 @ X3)) <=> ((X1 = X2) | (in @ X2 @ X3))) = setadjoinAx)),
% 0.21/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinAx)).
% 0.21/0.54 thf(f1938,plain,(
% 0.21/0.54 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X5 @ emptyset) @ (setadjoin @ (setadjoin @ X5 @ (setadjoin @ X4 @ emptyset)) @ emptyset)))) | (setukpairinjL1 != $true) | (X3 = X5)) )),
% 0.21/0.54 inference(cnf_transformation,[],[f1080])).
% 0.21/0.54 thf(f1080,plain,(
% 0.21/0.54 ((setukpairinjL1 = $true) | (($true = (in @ (setadjoin @ sK223 @ emptyset) @ (setadjoin @ (setadjoin @ sK225 @ emptyset) @ (setadjoin @ (setadjoin @ sK225 @ (setadjoin @ sK224 @ emptyset)) @ emptyset)))) & (sK223 != sK225))) & (! [X3,X4,X5] : (($true != (in @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X5 @ emptyset) @ (setadjoin @ (setadjoin @ X5 @ (setadjoin @ X4 @ emptyset)) @ emptyset)))) | (X3 = X5)) | (setukpairinjL1 != $true))),
% 0.21/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK223,sK224,sK225])],[f1078,f1079])).
% 0.21/0.54 thf(f1079,plain,(
% 0.21/0.54 ? [X0,X1,X2] : (($true = (in @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) & (X0 != X2)) => (($true = (in @ (setadjoin @ sK223 @ emptyset) @ (setadjoin @ (setadjoin @ sK225 @ emptyset) @ (setadjoin @ (setadjoin @ sK225 @ (setadjoin @ sK224 @ emptyset)) @ emptyset)))) & (sK223 != sK225))),
% 0.21/0.54 introduced(choice_axiom,[])).
% 0.21/0.54 thf(f1078,plain,(
% 0.21/0.54 ((setukpairinjL1 = $true) | ? [X0,X1,X2] : (($true = (in @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) & (X0 != X2))) & (! [X3,X4,X5] : (($true != (in @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X5 @ emptyset) @ (setadjoin @ (setadjoin @ X5 @ (setadjoin @ X4 @ emptyset)) @ emptyset)))) | (X3 = X5)) | (setukpairinjL1 != $true))),
% 0.21/0.54 inference(rectify,[],[f1077])).
% 0.21/0.54 thf(f1077,plain,(
% 0.21/0.54 ((setukpairinjL1 = $true) | ? [X0,X1,X2] : (($true = (in @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) & (X0 != X2))) & (! [X0,X1,X2] : (($true != (in @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) | (X0 = X2)) | (setukpairinjL1 != $true))),
% 0.21/0.54 inference(nnf_transformation,[],[f597])).
% 0.21/0.54 thf(f597,plain,(
% 0.21/0.54 (setukpairinjL1 = $true) <=> ! [X0,X1,X2] : (($true != (in @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) | (X0 = X2))),
% 0.21/0.54 inference(ennf_transformation,[],[f332])).
% 0.21/0.54 thf(f332,plain,(
% 0.21/0.54 (setukpairinjL1 = $true) <=> ! [X0,X1,X2] : (($true = (in @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) => (X0 = X2))),
% 0.21/0.54 inference(fool_elimination,[],[f331])).
% 0.21/0.54 thf(f331,plain,(
% 0.21/0.54 (! [X0,X1,X2] : ((in @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) => (X0 = X2)) = setukpairinjL1)),
% 0.21/0.54 inference(rectify,[],[f165])).
% 0.21/0.54 thf(f165,axiom,(
% 0.21/0.54 (! [X8,X2,X1] : ((in @ (setadjoin @ X8 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset))) => (X1 = X8)) = setukpairinjL1)),
% 0.21/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setukpairinjL1)).
% 0.21/0.54 thf(f1864,plain,(
% 0.21/0.54 (sK182 != sK180)),
% 0.21/0.54 inference(cnf_transformation,[],[f1015])).
% 0.21/0.54 % SZS output end Proof for theBenchmark
% 0.21/0.54 % (1206)------------------------------
% 0.21/0.54 % (1206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (1206)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (1206)Memory used [KB]: 8315
% 0.21/0.54 % (1206)Time elapsed: 0.092 s
% 0.21/0.54 % (1206)Instructions burned: 187 (million)
% 0.21/0.54 % (1206)------------------------------
% 0.21/0.54 % (1206)------------------------------
% 0.21/0.54 % (1178)Success in time 0.183 s
% 0.21/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------