TSTP Solution File: ITP011^3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP011^3 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:30:40 EDT 2024
% Result : Theorem 1.46s 0.60s
% Output : Refutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP011^3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 18:47:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH1_THM_EQU_NAR problem
% 0.13/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % (6154)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (6155)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)
% 0.13/0.37 % (6156)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)
% 0.13/0.37 % (6161)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)
% 0.13/0.37 % (6158)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)
% 0.13/0.37 % (6159)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)
% 0.13/0.37 % (6157)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (6160)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (6158)Instruction limit reached!
% 0.13/0.37 % (6158)------------------------------
% 0.13/0.37 % (6158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (6158)Termination reason: Unknown
% 0.13/0.37 % (6158)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (6158)Memory used [KB]: 1023
% 0.13/0.37 % (6158)Time elapsed: 0.003 s
% 0.13/0.37 % (6158)Instructions burned: 2 (million)
% 0.13/0.37 % (6158)------------------------------
% 0.13/0.37 % (6158)------------------------------
% 0.13/0.37 % (6161)Instruction limit reached!
% 0.13/0.37 % (6161)------------------------------
% 0.13/0.37 % (6161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (6161)Termination reason: Unknown
% 0.13/0.37 % (6161)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (6161)Memory used [KB]: 1023
% 0.13/0.37 % (6161)Time elapsed: 0.003 s
% 0.13/0.37 % (6161)Instructions burned: 3 (million)
% 0.13/0.37 % (6161)------------------------------
% 0.13/0.37 % (6161)------------------------------
% 0.13/0.37 % (6155)Instruction limit reached!
% 0.13/0.37 % (6155)------------------------------
% 0.13/0.37 % (6155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (6155)Termination reason: Unknown
% 0.13/0.37 % (6155)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (6155)Memory used [KB]: 1023
% 0.13/0.37 % (6155)Time elapsed: 0.004 s
% 0.13/0.37 % (6155)Instructions burned: 4 (million)
% 0.13/0.37 % (6155)------------------------------
% 0.13/0.37 % (6155)------------------------------
% 0.13/0.37 % (6157)Instruction limit reached!
% 0.13/0.37 % (6157)------------------------------
% 0.13/0.37 % (6157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (6157)Termination reason: Unknown
% 0.13/0.37 % (6157)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (6157)Memory used [KB]: 1023
% 0.13/0.37 % (6157)Time elapsed: 0.003 s
% 0.13/0.37 % (6157)Instructions burned: 2 (million)
% 0.13/0.37 % (6157)------------------------------
% 0.13/0.37 % (6157)------------------------------
% 0.13/0.38 % (6160)Instruction limit reached!
% 0.13/0.38 % (6160)------------------------------
% 0.13/0.38 % (6160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (6160)Termination reason: Unknown
% 0.13/0.38 % (6160)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (6160)Memory used [KB]: 5628
% 0.13/0.38 % (6160)Time elapsed: 0.013 s
% 0.13/0.38 % (6160)Instructions burned: 19 (million)
% 0.13/0.38 % (6160)------------------------------
% 0.13/0.38 % (6160)------------------------------
% 0.13/0.38 % (6162)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)
% 0.13/0.38 % (6164)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)
% 0.13/0.38 % (6165)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)
% 0.13/0.39 % (6156)Instruction limit reached!
% 0.13/0.39 % (6156)------------------------------
% 0.13/0.39 % (6156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % Exception at run slice level
% 0.13/0.39 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.13/0.39 % (6156)Termination reason: Unknown
% 0.13/0.39 % (6156)Termination phase: Saturation
% 0.13/0.39 % Exception at run slice level
% 0.13/0.39 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.13/0.39
% 0.13/0.39 % (6156)Memory used [KB]: 5884
% 0.13/0.39 % (6156)Time elapsed: 0.020 s
% 0.13/0.39 % (6156)Instructions burned: 27 (million)
% 0.13/0.39 % (6156)------------------------------
% 0.13/0.39 % (6156)------------------------------
% 0.13/0.39 % (6164)Instruction limit reached!
% 0.13/0.39 % (6164)------------------------------
% 0.13/0.39 % (6164)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (6164)Termination reason: Unknown
% 0.13/0.39 % (6164)Termination phase: Preprocessing 2
% 0.13/0.39
% 0.13/0.39 % (6164)Memory used [KB]: 1023
% 0.13/0.39 % (6164)Time elapsed: 0.004 s
% 0.13/0.39 % (6164)Instructions burned: 4 (million)
% 0.13/0.39 % (6164)------------------------------
% 0.13/0.39 % (6164)------------------------------
% 0.13/0.39 % (6163)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)
% 0.20/0.39 % (6166)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.40 % (6163)Instruction limit reached!
% 0.20/0.40 % (6163)------------------------------
% 0.20/0.40 % (6163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (6163)Termination reason: Unknown
% 0.20/0.40 % (6163)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (6163)Memory used [KB]: 5756
% 0.20/0.40 % (6163)Time elapsed: 0.011 s
% 0.20/0.40 % (6163)Instructions burned: 15 (million)
% 0.20/0.40 % (6163)------------------------------
% 0.20/0.40 % (6163)------------------------------
% 0.20/0.40 % (6166)Instruction limit reached!
% 0.20/0.40 % (6166)------------------------------
% 0.20/0.40 % (6166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (6166)Termination reason: Unknown
% 0.20/0.40 % (6166)Termination phase: Function definition elimination
% 0.20/0.40
% 0.20/0.40 % (6166)Memory used [KB]: 1151
% 0.20/0.40 % (6166)Time elapsed: 0.006 s
% 0.20/0.40 % (6166)Instructions burned: 7 (million)
% 0.20/0.40 % (6166)------------------------------
% 0.20/0.40 % (6166)------------------------------
% 0.20/0.40 % (6167)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.40 % (6169)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)
% 0.20/0.40 % (6170)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)
% 0.20/0.40 % (6169)Instruction limit reached!
% 0.20/0.40 % (6169)------------------------------
% 0.20/0.40 % (6169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (6169)Termination reason: Unknown
% 0.20/0.40 % (6169)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (6169)Memory used [KB]: 1023
% 0.20/0.40 % (6169)Time elapsed: 0.004 s
% 0.20/0.40 % (6169)Instructions burned: 4 (million)
% 0.20/0.40 % (6169)------------------------------
% 0.20/0.40 % (6169)------------------------------
% 0.20/0.41 % (6170)Instruction limit reached!
% 0.20/0.41 % (6170)------------------------------
% 0.20/0.41 % (6170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (6170)Termination reason: Unknown
% 0.20/0.41 % (6170)Termination phase: Function definition elimination
% 0.20/0.41
% 0.20/0.41 % (6170)Memory used [KB]: 1151
% 0.20/0.41 % (6170)Time elapsed: 0.006 s
% 0.20/0.41 % (6170)Instructions burned: 7 (million)
% 0.20/0.41 % (6170)------------------------------
% 0.20/0.41 % (6170)------------------------------
% 0.20/0.41 % (6167)Instruction limit reached!
% 0.20/0.41 % (6167)------------------------------
% 0.20/0.41 % (6167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (6167)Termination reason: Unknown
% 0.20/0.41 % (6167)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (6167)Memory used [KB]: 5756
% 0.20/0.41 % (6167)Time elapsed: 0.012 s
% 0.20/0.41 % (6167)Instructions burned: 16 (million)
% 0.20/0.41 % (6167)------------------------------
% 0.20/0.41 % (6167)------------------------------
% 0.20/0.41 % (6168)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)
% 0.20/0.41 % (6168)Instruction limit reached!
% 0.20/0.41 % (6168)------------------------------
% 0.20/0.41 % (6168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (6168)Termination reason: Unknown
% 0.20/0.41 % (6168)Termination phase: SInE selection
% 0.20/0.41
% 0.20/0.41 % (6168)Memory used [KB]: 1023
% 0.20/0.41 % (6168)Time elapsed: 0.004 s
% 0.20/0.41 % (6168)Instructions burned: 3 (million)
% 0.20/0.41 % (6168)------------------------------
% 0.20/0.41 % (6168)------------------------------
% 0.20/0.42 % (6173)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)
% 0.20/0.42 % (6174)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.42 % (6172)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.42 % (6171)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)
% 0.20/0.42 % (6172)Instruction limit reached!
% 0.20/0.42 % (6172)------------------------------
% 0.20/0.42 % (6172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (6172)Termination reason: Unknown
% 0.20/0.42 % (6172)Termination phase: Preprocessing 3
% 0.20/0.42
% 0.20/0.42 % (6172)Memory used [KB]: 1023
% 0.20/0.42 % (6172)Time elapsed: 0.004 s
% 0.20/0.42 % (6172)Instructions burned: 4 (million)
% 0.20/0.42 % (6172)------------------------------
% 0.20/0.42 % (6172)------------------------------
% 0.20/0.42 % (6171)Instruction limit reached!
% 0.20/0.42 % (6171)------------------------------
% 0.20/0.42 % (6171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (6171)Termination reason: Unknown
% 0.20/0.42 % (6171)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (6171)Memory used [KB]: 1023
% 0.20/0.42 % (6171)Time elapsed: 0.004 s
% 0.20/0.42 % (6171)Instructions burned: 4 (million)
% 0.20/0.42 % (6171)------------------------------
% 0.20/0.42 % (6171)------------------------------
% 0.20/0.43 % (6175)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.43 % (6173)Instruction limit reached!
% 0.20/0.43 % (6173)------------------------------
% 0.20/0.43 % (6173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (6173)Termination reason: Unknown
% 0.20/0.43 % (6173)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (6173)Memory used [KB]: 5756
% 0.20/0.43 % (6173)Time elapsed: 0.013 s
% 0.20/0.43 % (6173)Instructions burned: 18 (million)
% 0.20/0.43 % (6173)------------------------------
% 0.20/0.43 % (6173)------------------------------
% 0.20/0.43 % (6176)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)
% 0.20/0.43 % (6175)Instruction limit reached!
% 0.20/0.43 % (6175)------------------------------
% 0.20/0.43 % (6175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (6175)Termination reason: Unknown
% 0.20/0.43 % (6175)Termination phase: Equality resolution with deletion
% 0.20/0.43
% 0.20/0.43 % (6175)Memory used [KB]: 1151
% 0.20/0.43 % (6175)Time elapsed: 0.006 s
% 0.20/0.43 % (6175)Instructions burned: 7 (million)
% 0.20/0.43 % (6175)------------------------------
% 0.20/0.43 % (6175)------------------------------
% 0.20/0.44 % (6177)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)
% 0.20/0.44 % (6178)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.44 % (6178)Instruction limit reached!
% 0.20/0.44 % (6178)------------------------------
% 0.20/0.44 % (6178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (6178)Termination reason: Unknown
% 0.20/0.44 % (6178)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (6178)Memory used [KB]: 1023
% 0.20/0.44 % (6178)Time elapsed: 0.004 s
% 0.20/0.44 % (6178)Instructions burned: 5 (million)
% 0.20/0.44 % (6178)------------------------------
% 0.20/0.44 % (6178)------------------------------
% 0.20/0.44 % (6179)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)
% 0.20/0.44 % (6180)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.44 % Exception at run slice level
% 0.20/0.44 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.20/0.45 % (6177)Instruction limit reached!
% 0.20/0.45 % (6177)------------------------------
% 0.20/0.45 % (6177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (6177)Termination reason: Unknown
% 0.20/0.45 % (6177)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (6177)Memory used [KB]: 5884
% 0.20/0.45 % (6177)Time elapsed: 0.016 s
% 0.20/0.45 % (6177)Instructions burned: 22 (million)
% 0.20/0.45 % (6177)------------------------------
% 0.20/0.45 % (6177)------------------------------
% 0.20/0.45 % (6181)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.20/0.46 % Exception at run slice level
% 0.20/0.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.20/0.46 % (6182)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.20/0.46 % Exception at run slice level
% 0.20/0.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.20/0.46 % (6184)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.47 % (6183)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)
% 0.20/0.47 % (6184)Instruction limit reached!
% 0.20/0.47 % (6184)------------------------------
% 0.20/0.47 % (6184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (6184)Termination reason: Unknown
% 0.20/0.47 % (6184)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (6184)Memory used [KB]: 5756
% 0.20/0.47 % (6184)Time elapsed: 0.007 s
% 0.20/0.47 % (6184)Instructions burned: 17 (million)
% 0.20/0.47 % (6184)------------------------------
% 0.20/0.47 % (6184)------------------------------
% 0.20/0.47 % (6185)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.47 % (6185)Instruction limit reached!
% 0.20/0.47 % (6185)------------------------------
% 0.20/0.47 % (6185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (6185)Termination reason: Unknown
% 0.20/0.47 % (6185)Termination phase: Preprocessing 1
% 0.20/0.47
% 0.20/0.47 % (6185)Memory used [KB]: 1023
% 0.20/0.47 % (6185)Time elapsed: 0.003 s
% 0.20/0.47 % (6185)Instructions burned: 4 (million)
% 0.20/0.48 % (6185)------------------------------
% 0.20/0.48 % (6185)------------------------------
% 0.20/0.48 % (6186)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.48 % (6154)Instruction limit reached!
% 0.20/0.48 % (6154)------------------------------
% 0.20/0.48 % (6154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (6154)Termination reason: Unknown
% 0.20/0.48 % (6154)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (6154)Memory used [KB]: 6908
% 0.20/0.48 % (6154)Time elapsed: 0.114 s
% 0.20/0.48 % (6154)Instructions burned: 184 (million)
% 0.20/0.48 % (6154)------------------------------
% 0.20/0.48 % (6154)------------------------------
% 0.20/0.49 % (6187)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)
% 0.20/0.49 % (6186)Instruction limit reached!
% 0.20/0.49 % (6186)------------------------------
% 0.20/0.49 % (6186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (6186)Termination reason: Unknown
% 0.20/0.49 % (6186)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (6186)Memory used [KB]: 5756
% 0.20/0.49 % (6186)Time elapsed: 0.012 s
% 0.20/0.49 % (6186)Instructions burned: 32 (million)
% 0.20/0.49 % (6186)------------------------------
% 0.20/0.49 % (6186)------------------------------
% 0.20/0.49 % (6188)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.20/0.50 % (6189)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.50 % Exception at run slice level
% 0.20/0.50 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.20/0.50 % (6190)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.32/0.51 % (6159)Instruction limit reached!
% 1.32/0.51 % (6159)------------------------------
% 1.32/0.51 % (6159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.32/0.51 % (6159)Termination reason: Unknown
% 1.32/0.51 % (6159)Termination phase: Saturation
% 1.32/0.51
% 1.32/0.51 % (6159)Memory used [KB]: 6140
% 1.32/0.51 % (6159)Time elapsed: 0.146 s
% 1.32/0.51 % (6159)Instructions burned: 276 (million)
% 1.32/0.51 % (6159)------------------------------
% 1.32/0.51 % (6159)------------------------------
% 1.32/0.52 % (6190)Instruction limit reached!
% 1.32/0.52 % (6190)------------------------------
% 1.32/0.52 % (6190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.32/0.52 % (6190)Termination reason: Unknown
% 1.32/0.52 % (6190)Termination phase: Saturation
% 1.32/0.52
% 1.32/0.52 % (6190)Memory used [KB]: 5756
% 1.32/0.52 % (6190)Time elapsed: 0.014 s
% 1.32/0.52 % (6190)Instructions burned: 21 (million)
% 1.32/0.52 % (6190)------------------------------
% 1.32/0.52 % (6190)------------------------------
% 1.32/0.52 % (6191)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 1.32/0.52 % (6188)Instruction limit reached!
% 1.32/0.52 % (6188)------------------------------
% 1.32/0.52 % (6188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.32/0.52 % (6188)Termination reason: Unknown
% 1.32/0.52 % (6188)Termination phase: Saturation
% 1.32/0.52
% 1.32/0.52 % (6188)Memory used [KB]: 6012
% 1.32/0.52 % (6188)Time elapsed: 0.034 s
% 1.32/0.52 % (6188)Instructions burned: 102 (million)
% 1.32/0.52 % (6188)------------------------------
% 1.32/0.52 % (6188)------------------------------
% 1.32/0.53 % (6192)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.46/0.53 % (6187)Instruction limit reached!
% 1.46/0.53 % (6187)------------------------------
% 1.46/0.53 % (6187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.53 % (6187)Termination reason: Unknown
% 1.46/0.53 % (6187)Termination phase: Saturation
% 1.46/0.53
% 1.46/0.53 % (6187)Memory used [KB]: 6524
% 1.46/0.53 % (6187)Time elapsed: 0.047 s
% 1.46/0.53 % (6187)Instructions burned: 128 (million)
% 1.46/0.53 % (6187)------------------------------
% 1.46/0.53 % (6187)------------------------------
% 1.46/0.53 % (6193)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.46/0.53 % Exception at run slice level
% 1.46/0.53 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.46/0.54 % (6194)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 1.46/0.54 % Exception at run slice level
% 1.46/0.54 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.46/0.54 % (6195)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.46/0.55 % (6196)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 1.46/0.55 % Exception at run slice level
% 1.46/0.55 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.46/0.56 % (6197)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 1.46/0.56 % (6195)Instruction limit reached!
% 1.46/0.56 % (6195)------------------------------
% 1.46/0.56 % (6195)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.56 % (6195)Termination reason: Unknown
% 1.46/0.56 % (6195)Termination phase: Saturation
% 1.46/0.56
% 1.46/0.56 % (6195)Memory used [KB]: 5884
% 1.46/0.56 % (6195)Time elapsed: 0.019 s
% 1.46/0.56 % (6195)Instructions burned: 48 (million)
% 1.46/0.56 % (6195)------------------------------
% 1.46/0.56 % (6195)------------------------------
% 1.46/0.56 % (6192)Instruction limit reached!
% 1.46/0.56 % (6192)------------------------------
% 1.46/0.56 % (6192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.56 % (6192)Termination reason: Unknown
% 1.46/0.56 % (6192)Termination phase: Saturation
% 1.46/0.56
% 1.46/0.56 % (6192)Memory used [KB]: 6012
% 1.46/0.56 % (6192)Time elapsed: 0.037 s
% 1.46/0.56 % (6192)Instructions burned: 108 (million)
% 1.46/0.56 % (6192)------------------------------
% 1.46/0.56 % (6192)------------------------------
% 1.46/0.56 % (6191)Instruction limit reached!
% 1.46/0.56 % (6191)------------------------------
% 1.46/0.56 % (6191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.56 % (6191)Termination reason: Unknown
% 1.46/0.56 % (6191)Termination phase: Saturation
% 1.46/0.56
% 1.46/0.56 % (6191)Memory used [KB]: 6012
% 1.46/0.56 % (6191)Time elapsed: 0.045 s
% 1.46/0.56 % (6191)Instructions burned: 86 (million)
% 1.46/0.56 % (6191)------------------------------
% 1.46/0.56 % (6191)------------------------------
% 1.46/0.57 % (6199)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.46/0.57 % (6200)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 1.46/0.57 % Exception at run slice level
% 1.46/0.57 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.46/0.58 % (6198)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.46/0.58 % (6199)Instruction limit reached!
% 1.46/0.58 % (6199)------------------------------
% 1.46/0.58 % (6199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.58 % (6199)Termination reason: Unknown
% 1.46/0.58 % (6199)Termination phase: Saturation
% 1.46/0.58
% 1.46/0.58 % (6199)Memory used [KB]: 5884
% 1.46/0.58 % (6199)Time elapsed: 0.014 s
% 1.46/0.58 % (6199)Instructions burned: 39 (million)
% 1.46/0.58 % (6199)------------------------------
% 1.46/0.58 % (6199)------------------------------
% 1.46/0.58 % (6201)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2997ds/1087Mi)
% 1.46/0.59 % (6202)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.46/0.59 % (6183)First to succeed.
% 1.46/0.60 % (6183)Refutation found. Thanks to Tanya!
% 1.46/0.60 % SZS status Theorem for theBenchmark
% 1.46/0.60 % SZS output start Proof for theBenchmark
% 1.46/0.60 thf(type_def_6, type, tyop_2Eoption_2Eoption: ($tType) > $tType).
% 1.46/0.60 thf(type_def_7, type, sK3: $tType).
% 1.46/0.60 thf(func_def_0, type, tyop_2Emin_2Ebool: $tType).
% 1.46/0.60 thf(func_def_1, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 1.46/0.60 thf(func_def_2, type, tyop_2Eoption_2Eoption: ($tType) > $tType).
% 1.46/0.60 thf(func_def_3, type, c_2Ebool_2E_21: !>[X0: $tType]:((X0 > $o) > $o)).
% 1.46/0.60 thf(func_def_4, type, c_2Ebool_2E_2F_5C: $o > $o > $o).
% 1.46/0.60 thf(func_def_5, type, c_2Emin_2E_3D: !>[X0: $tType]:(X0 > X0 > $o)).
% 1.46/0.60 thf(func_def_6, type, c_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 1.46/0.60 thf(func_def_7, type, c_2Ebool_2E_3F: !>[X0: $tType]:((X0 > $o) > $o)).
% 1.46/0.60 thf(func_def_9, type, c_2Eoption_2EIS__NONE: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0 > $o)).
% 1.46/0.60 thf(func_def_10, type, c_2Eoption_2EIS__SOME: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0 > $o)).
% 1.46/0.60 thf(func_def_11, type, c_2Eoption_2ENONE: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0)).
% 1.46/0.60 thf(func_def_12, type, c_2Eoption_2EOPTION__JOIN: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ tyop_2Eoption_2Eoption @ X0 > tyop_2Eoption_2Eoption @ X0)).
% 1.46/0.60 thf(func_def_13, type, c_2Eoption_2EOPTION__MAP: !>[X0: $tType, X1: $tType]:((X0 > X1) > tyop_2Eoption_2Eoption @ X0 > tyop_2Eoption_2Eoption @ X1)).
% 1.46/0.60 thf(func_def_14, type, c_2Eoption_2EOPTREL: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > tyop_2Eoption_2Eoption @ X0 > tyop_2Eoption_2Eoption @ X1 > $o)).
% 1.46/0.60 thf(func_def_15, type, c_2Eoption_2ESOME: !>[X0: $tType]:(X0 > tyop_2Eoption_2Eoption @ X0)).
% 1.46/0.60 thf(func_def_17, type, c_2Eoption_2ETHE: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0 > X0)).
% 1.46/0.60 thf(func_def_18, type, c_2Ebool_2E_5C_2F: $o > $o > $o).
% 1.46/0.60 thf(func_def_19, type, c_2Eoption_2Eoption__CASE: !>[X0: $tType, X1: $tType]:(tyop_2Eoption_2Eoption @ X0 > X1 > (X0 > X1) > X1)).
% 1.46/0.60 thf(func_def_20, type, c_2Ebool_2E_7E: $o > $o).
% 1.46/0.60 thf(func_def_26, type, sK0: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.46/0.60 thf(func_def_27, type, sK1: !>[X0: $tType, X1: $tType]:(tyop_2Eoption_2Eoption @ X1 > tyop_2Eoption_2Eoption @ X0 > (X0 > X1 > $o) > X0)).
% 1.46/0.60 thf(func_def_28, type, sK2: !>[X0: $tType, X1: $tType]:(tyop_2Eoption_2Eoption @ X1 > tyop_2Eoption_2Eoption @ X0 > (X0 > X1 > $o) > X1)).
% 1.46/0.60 thf(func_def_29, type, sK4: sK3).
% 1.46/0.60 thf(func_def_30, type, sK5: sK3).
% 1.46/0.60 thf(func_def_31, type, sK6: sK3 > sK3 > $o).
% 1.46/0.60 thf(func_def_32, type, sK7: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.46/0.60 thf(func_def_34, type, ph9: !>[X0: $tType]:(X0)).
% 1.46/0.60 thf(f1050,plain,(
% 1.46/0.60 $false),
% 1.46/0.60 inference(avatar_sat_refutation,[],[f334,f344,f848,f869,f872,f1048])).
% 1.46/0.60 thf(f1048,plain,(
% 1.46/0.60 ~spl8_3 | ~spl8_7),
% 1.46/0.60 inference(avatar_contradiction_clause,[],[f1047])).
% 1.46/0.60 thf(f1047,plain,(
% 1.46/0.60 $false | (~spl8_3 | ~spl8_7)),
% 1.46/0.60 inference(trivial_inequality_removal,[],[f1046])).
% 1.46/0.60 thf(f1046,plain,(
% 1.46/0.60 ($false = $true) | (~spl8_3 | ~spl8_7)),
% 1.46/0.60 inference(forward_demodulation,[],[f1045,f343])).
% 1.46/0.60 thf(f343,plain,(
% 1.46/0.60 ($false = (sK6 @ sK5 @ sK4)) | ~spl8_7),
% 1.46/0.60 inference(avatar_component_clause,[],[f341])).
% 1.46/0.60 thf(f341,plain,(
% 1.46/0.60 spl8_7 <=> ($false = (sK6 @ sK5 @ sK4))),
% 1.46/0.60 introduced(avatar_definition,[new_symbols(naming,[spl8_7])])).
% 1.46/0.60 thf(f1045,plain,(
% 1.46/0.60 ((sK6 @ sK5 @ sK4) = $true) | ~spl8_3),
% 1.46/0.60 inference(backward_demodulation,[],[f1019,f1040])).
% 1.46/0.60 thf(f1040,plain,(
% 1.46/0.60 ((sK1 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6) = sK5) | ~spl8_3),
% 1.46/0.60 inference(forward_demodulation,[],[f1031,f170])).
% 1.46/0.60 thf(f170,plain,(
% 1.46/0.60 ( ! [X0 : $tType,X9 : X0] : (((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X9)) = X9)) )),
% 1.46/0.60 inference(cnf_transformation,[],[f90])).
% 1.46/0.60 thf(f90,plain,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : tyop_2Eoption_2Eoption @ X0,X4 : X1] : (! [X5 : tyop_2Eoption_2Eoption @ X0] : ((($true = (c_2Eoption_2EIS__NONE @ X0 @ X5)) | (c_2Eoption_2ENONE @ X0 != X5)) & ((c_2Eoption_2ENONE @ X0 = X5) | ($true != (c_2Eoption_2EIS__NONE @ X0 @ X5)))) & ! [X6 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X6)) = X6) & ! [X7 : tyop_2Eoption_2Eoption @ X0] : (($true != (c_2Eoption_2EIS__NONE @ X0 @ X7)) | ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X7 @ X4 @ X2) = X4)) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) & ! [X8 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X8 @ X8 @ c_2Eoption_2ESOME @ X0) = X8) & ! [X9 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X9)) = X9) & ! [X10 : X1,X11 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X10 @ X11) = X10) & ! [X12 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X12 @ X3 @ c_2Eoption_2ESOME @ X0) = X12) | ((c_2Eoption_2EIS__SOME @ X0 @ X12) != $true)) & ! [X13 : tyop_2Eoption_2Eoption @ X0] : ((((~ (c_2Eoption_2EIS__SOME @ X0 @ X13)) = $true) | (c_2Eoption_2ENONE @ X0 != X13)) & ((c_2Eoption_2ENONE @ X0 = X13) | ((~ (c_2Eoption_2EIS__SOME @ X0 @ X13)) != $true))) & ! [X14 : X0,X15 : X1,X16 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X14) @ X15 @ X16) = (X16 @ X14)) & ! [X17 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X17))) & ! [X18 : X0] : ((~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X18))) = $true) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & ! [X19 : X0,X20 : X0] : ((((c_2Eoption_2ESOME @ X0 @ X19) = (c_2Eoption_2ESOME @ X0 @ X20)) | (X19 != X20)) & ((X19 = X20) | ((c_2Eoption_2ESOME @ X0 @ X19) != (c_2Eoption_2ESOME @ X0 @ X20)))) & ! [X21 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X21)))) & ! [X22 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X22)) = X22) | ($true != (c_2Eoption_2EIS__SOME @ X0 @ X22))) & ! [X23 : tyop_2Eoption_2Eoption @ X0] : (($true != (c_2Eoption_2EIS__SOME @ X0 @ X23)) | ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X23 @ X4 @ X2) = (X2 @ (c_2Eoption_2ETHE @ X0 @ X23)))) & ! [X24 : X0 > X1] : (c_2Eoption_2ENONE @ X1 = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X24 @ c_2Eoption_2ENONE @ X0)) & ! [X25 : X0 > X1,X26 : X0] : ((c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X25 @ (c_2Eoption_2ESOME @ X0 @ X26)) = (c_2Eoption_2ESOME @ X1 @ (X25 @ X26))) & ! [X27 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X27 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X27))),
% 1.46/0.60 inference(rectify,[],[f89])).
% 1.46/0.60 thf(f89,plain,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : tyop_2Eoption_2Eoption @ X0,X4 : X1] : (! [X12 : tyop_2Eoption_2Eoption @ X0] : ((((c_2Eoption_2EIS__NONE @ X0 @ X12) = $true) | (c_2Eoption_2ENONE @ X0 != X12)) & ((c_2Eoption_2ENONE @ X0 = X12) | ((c_2Eoption_2EIS__NONE @ X0 @ X12) != $true))) & ! [X21 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X21)) = X21) & ! [X7 : tyop_2Eoption_2Eoption @ X0] : (($true != (c_2Eoption_2EIS__NONE @ X0 @ X7)) | ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X7 @ X4 @ X2) = X4)) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) & ! [X27 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X27 @ X27 @ c_2Eoption_2ESOME @ X0) = X27) & ! [X24 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X24)) = X24) & ! [X19 : X1,X20 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X19 @ X20) = X19) & ! [X15 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X15 @ X3 @ c_2Eoption_2ESOME @ X0) = X15) | ($true != (c_2Eoption_2EIS__SOME @ X0 @ X15))) & ! [X8 : tyop_2Eoption_2Eoption @ X0] : ((($true = (~ (c_2Eoption_2EIS__SOME @ X0 @ X8))) | (c_2Eoption_2ENONE @ X0 != X8)) & ((c_2Eoption_2ENONE @ X0 = X8) | ($true != (~ (c_2Eoption_2EIS__SOME @ X0 @ X8))))) & ! [X9 : X0,X10 : X1,X11 : X0 > X1] : ((X11 @ X9) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X9) @ X10 @ X11)) & ! [X16 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X16))) & ! [X22 : X0] : ((~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X22))) = $true) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & ! [X25 : X0,X26 : X0] : ((((c_2Eoption_2ESOME @ X0 @ X25) = (c_2Eoption_2ESOME @ X0 @ X26)) | (X25 != X26)) & ((X25 = X26) | ((c_2Eoption_2ESOME @ X0 @ X25) != (c_2Eoption_2ESOME @ X0 @ X26)))) & ! [X17 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X17)))) & ! [X5 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X5)) = X5) | ((c_2Eoption_2EIS__SOME @ X0 @ X5) != $true)) & ! [X18 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__SOME @ X0 @ X18) != $true) | ((X2 @ (c_2Eoption_2ETHE @ X0 @ X18)) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X18 @ X4 @ X2))) & ! [X23 : X0 > X1] : (c_2Eoption_2ENONE @ X1 = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X23 @ c_2Eoption_2ENONE @ X0)) & ! [X13 : X0 > X1,X14 : X0] : ((c_2Eoption_2ESOME @ X1 @ (X13 @ X14)) = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X13 @ (c_2Eoption_2ESOME @ X0 @ X14))) & ! [X6 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X6 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X6))),
% 1.46/0.60 inference(nnf_transformation,[],[f61])).
% 1.46/0.60 thf(f61,plain,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : tyop_2Eoption_2Eoption @ X0,X4 : X1] : (! [X12 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__NONE @ X0 @ X12) = $true) <=> (c_2Eoption_2ENONE @ X0 = X12)) & ! [X21 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X21)) = X21) & ! [X7 : tyop_2Eoption_2Eoption @ X0] : (($true != (c_2Eoption_2EIS__NONE @ X0 @ X7)) | ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X7 @ X4 @ X2) = X4)) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) & ! [X27 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X27 @ X27 @ c_2Eoption_2ESOME @ X0) = X27) & ! [X24 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X24)) = X24) & ! [X19 : X1,X20 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X19 @ X20) = X19) & ! [X15 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X15 @ X3 @ c_2Eoption_2ESOME @ X0) = X15) | ($true != (c_2Eoption_2EIS__SOME @ X0 @ X15))) & ! [X8 : tyop_2Eoption_2Eoption @ X0] : (($true = (~ (c_2Eoption_2EIS__SOME @ X0 @ X8))) <=> (c_2Eoption_2ENONE @ X0 = X8)) & ! [X9 : X0,X10 : X1,X11 : X0 > X1] : ((X11 @ X9) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X9) @ X10 @ X11)) & ! [X16 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X16))) & ! [X22 : X0] : ((~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X22))) = $true) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & ! [X25 : X0,X26 : X0] : (((c_2Eoption_2ESOME @ X0 @ X25) = (c_2Eoption_2ESOME @ X0 @ X26)) <=> (X25 = X26)) & ! [X17 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X17)))) & ! [X5 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X5)) = X5) | ((c_2Eoption_2EIS__SOME @ X0 @ X5) != $true)) & ! [X18 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__SOME @ X0 @ X18) != $true) | ((X2 @ (c_2Eoption_2ETHE @ X0 @ X18)) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X18 @ X4 @ X2))) & ! [X23 : X0 > X1] : (c_2Eoption_2ENONE @ X1 = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X23 @ c_2Eoption_2ENONE @ X0)) & ! [X13 : X0 > X1,X14 : X0] : ((c_2Eoption_2ESOME @ X1 @ (X13 @ X14)) = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X13 @ (c_2Eoption_2ESOME @ X0 @ X14))) & ! [X6 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X6 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X6))),
% 1.46/0.60 inference(ennf_transformation,[],[f25])).
% 1.46/0.60 thf(f25,plain,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : tyop_2Eoption_2Eoption @ X0,X4 : X1] : (! [X22 : X0] : ((~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X22))) = $true) & ! [X24 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X24)) = X24) & ! [X8 : tyop_2Eoption_2Eoption @ X0] : (($true = (~ (c_2Eoption_2EIS__SOME @ X0 @ X8))) <=> (c_2Eoption_2ENONE @ X0 = X8)) & ! [X12 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__NONE @ X0 @ X12) = $true) <=> (c_2Eoption_2ENONE @ X0 = X12)) & ! [X15 : tyop_2Eoption_2Eoption @ X0] : (($true = (c_2Eoption_2EIS__SOME @ X0 @ X15)) => ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X15 @ X3 @ c_2Eoption_2ESOME @ X0) = X15)) & ! [X13 : X0 > X1,X14 : X0] : ((c_2Eoption_2ESOME @ X1 @ (X13 @ X14)) = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X13 @ (c_2Eoption_2ESOME @ X0 @ X14))) & ! [X5 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__SOME @ X0 @ X5) = $true) => ((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X5)) = X5)) & ! [X19 : X1,X20 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X19 @ X20) = X19) & ! [X23 : X0 > X1] : (c_2Eoption_2ENONE @ X1 = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X23 @ c_2Eoption_2ENONE @ X0)) & ! [X21 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X21)) = X21) & ! [X16 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X16))) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & ! [X7 : tyop_2Eoption_2Eoption @ X0] : (($true = (c_2Eoption_2EIS__NONE @ X0 @ X7)) => ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X7 @ X4 @ X2) = X4)) & ! [X25 : X0,X26 : X0] : (((c_2Eoption_2ESOME @ X0 @ X25) = (c_2Eoption_2ESOME @ X0 @ X26)) <=> (X25 = X26)) & ! [X9 : X0,X10 : X1,X11 : X0 > X1] : ((X11 @ X9) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X9) @ X10 @ X11)) & ! [X6 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X6 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X6) & ! [X18 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__SOME @ X0 @ X18) = $true) => ((X2 @ (c_2Eoption_2ETHE @ X0 @ X18)) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X18 @ X4 @ X2))) & ! [X17 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X17)))) & ! [X27 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X27 @ X27 @ c_2Eoption_2ESOME @ X0) = X27) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)))),
% 1.46/0.60 inference(fool_elimination,[],[f24])).
% 1.46/0.60 thf(f24,plain,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : tyop_2Eoption_2Eoption @ X0,X4 : X1] : (! [X5 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X5) => ((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X5)) = X5)) & ! [X6 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X6 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X6) & ! [X7 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__NONE @ X0 @ X7) => ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X7 @ X4 @ X2) = X4)) & ! [X8 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2ENONE @ X0 = X8) <=> (~ (c_2Eoption_2EIS__SOME @ X0 @ X8))) & ! [X9 : X0,X10 : X1,X11 : X0 > X1] : ((X11 @ X9) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X9) @ X10 @ X11)) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) & ! [X12 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2ENONE @ X0 = X12) <=> (c_2Eoption_2EIS__NONE @ X0 @ X12)) & ! [X13 : X0 > X1,X14 : X0] : ((c_2Eoption_2ESOME @ X1 @ (X13 @ X14)) = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X13 @ (c_2Eoption_2ESOME @ X0 @ X14))) & ! [X15 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X15) => ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X15 @ X3 @ c_2Eoption_2ESOME @ X0) = X15)) & ! [X16 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X16))) & ! [X17 : X0] : (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X17))) & ! [X18 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X18) => ((X2 @ (c_2Eoption_2ETHE @ X0 @ X18)) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X18 @ X4 @ X2))) & ! [X19 : X1,X20 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X19 @ X20) = X19) & ! [X21 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X21)) = X21) & ! [X22 : X0] : (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X22))) & ! [X23 : X0 > X1] : (c_2Eoption_2ENONE @ X1 = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X23 @ c_2Eoption_2ENONE @ X0)) & ! [X24 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X24)) = X24) & ! [X25 : X0,X26 : X0] : ((X25 = X26) <=> ((c_2Eoption_2ESOME @ X0 @ X25) = (c_2Eoption_2ESOME @ X0 @ X26))) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & ! [X27 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X27 @ X27 @ c_2Eoption_2ESOME @ X0) = X27))),
% 1.46/0.60 inference(rectify,[],[f17])).
% 1.46/0.60 thf(f17,axiom,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X4 : X0 > X1,X10 : tyop_2Eoption_2Eoption @ X0,X11 : X1] : (! [X20 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X20) => ((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X20)) = X20)) & ! [X21 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X21 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X21) & ! [X23 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__NONE @ X0 @ X23) => ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X23 @ X11 @ X4) = X11)) & ! [X19 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2ENONE @ X0 = X19) <=> (~ (c_2Eoption_2EIS__SOME @ X0 @ X19))) & ! [X28 : X0,X29 : X1,X30 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X28) @ X29 @ X30) = (X30 @ X28)) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) & ! [X18 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2ENONE @ X0 = X18) <=> (c_2Eoption_2EIS__NONE @ X0 @ X18)) & ! [X31 : X0 > X1,X32 : X0] : ((c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X31 @ (c_2Eoption_2ESOME @ X0 @ X32)) = (c_2Eoption_2ESOME @ X1 @ (X31 @ X32))) & ! [X25 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X25) => ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X25 @ X10 @ c_2Eoption_2ESOME @ X0) = X25)) & ! [X17 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X17))) & ! [X16 : X0] : (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X16))) & ! [X24 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X24) => ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X24 @ X11 @ X4) = (X4 @ (c_2Eoption_2ETHE @ X0 @ X24)))) & ! [X26 : X1,X27 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X26 @ X27) = X26) & ! [X34 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X34)) = X34) & ! [X15 : X0] : (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X15))) & ! [X33 : X0 > X1] : ((c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X33 @ c_2Eoption_2ENONE @ X0) = c_2Eoption_2ENONE @ X1) & ! [X14 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X14)) = X14) & ! [X12 : X0,X13 : X0] : ((X12 = X13) <=> ((c_2Eoption_2ESOME @ X0 @ X12) = (c_2Eoption_2ESOME @ X0 @ X13))) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & ! [X22 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X22 @ X22 @ c_2Eoption_2ESOME @ X0) = X22))),
% 1.46/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eoption_2Eoption__CLAUSES)).
% 1.46/0.60 thf(f1031,plain,(
% 1.46/0.60 ((sK1 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6) = (c_2Eoption_2ETHE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK5))) | ~spl8_3),
% 1.46/0.60 inference(superposition,[],[f170,f915])).
% 1.46/0.60 thf(f915,plain,(
% 1.46/0.60 ((c_2Eoption_2ESOME @ sK3 @ sK5) = (c_2Eoption_2ESOME @ sK3 @ (sK1 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6))) | ~spl8_3),
% 1.46/0.60 inference(subsumption_resolution,[],[f909,f289])).
% 1.46/0.60 thf(f289,plain,(
% 1.46/0.60 ( ! [X0 : $tType,X18 : X0] : ((c_2Eoption_2ENONE @ X0 != (c_2Eoption_2ESOME @ X0 @ X18))) )),
% 1.46/0.60 inference(equality_proxy_clausification,[],[f288])).
% 1.46/0.60 thf(f288,plain,(
% 1.46/0.60 ( ! [X0 : $tType,X18 : X0] : (($false = (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X18)))) )),
% 1.46/0.60 inference(not_proxy_clausification,[],[f163])).
% 1.46/0.60 thf(f163,plain,(
% 1.46/0.60 ( ! [X0 : $tType,X18 : X0] : (((~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X18))) = $true)) )),
% 1.46/0.60 inference(cnf_transformation,[],[f90])).
% 1.46/0.60 thf(f909,plain,(
% 1.46/0.60 (c_2Eoption_2ENONE @ sK3 = (c_2Eoption_2ESOME @ sK3 @ sK4)) | ((c_2Eoption_2ESOME @ sK3 @ sK5) = (c_2Eoption_2ESOME @ sK3 @ (sK1 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6))) | ~spl8_3),
% 1.46/0.60 inference(trivial_inequality_removal,[],[f899])).
% 1.46/0.60 thf(f899,plain,(
% 1.46/0.60 (c_2Eoption_2ENONE @ sK3 = (c_2Eoption_2ESOME @ sK3 @ sK4)) | ($true != $true) | ((c_2Eoption_2ESOME @ sK3 @ sK5) = (c_2Eoption_2ESOME @ sK3 @ (sK1 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6))) | ~spl8_3),
% 1.46/0.60 inference(superposition,[],[f136,f325])).
% 1.46/0.60 thf(f325,plain,(
% 1.46/0.60 ($true = (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ~spl8_3),
% 1.46/0.60 inference(avatar_component_clause,[],[f323])).
% 1.46/0.60 thf(f323,plain,(
% 1.46/0.60 spl8_3 <=> ($true = (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4)))),
% 1.46/0.60 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])).
% 1.46/0.60 thf(f136,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | ((c_2Eoption_2ESOME @ X0 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2)) = X3) | (c_2Eoption_2ENONE @ X1 = X4)) )),
% 1.46/0.60 inference(cnf_transformation,[],[f82])).
% 1.46/0.60 thf(f82,plain,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : ((((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3)) | (((c_2Eoption_2ESOME @ X0 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2)) = X3) & ((c_2Eoption_2ESOME @ X1 @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = X4) & ((X2 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2) @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = $true)) | ($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4))) & (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | (((c_2Eoption_2ENONE @ X1 != X4) | (c_2Eoption_2ENONE @ X0 != X3)) & ! [X7 : X0,X8 : X1] : (((c_2Eoption_2ESOME @ X0 @ X7) != X3) | ((c_2Eoption_2ESOME @ X1 @ X8) != X4) | ($true != (X2 @ X7 @ X8))))))),
% 1.46/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f80,f81])).
% 1.46/0.60 thf(f81,plain,(
% 1.46/0.60 ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (? [X5 : X0,X6 : X1] : (((c_2Eoption_2ESOME @ X0 @ X5) = X3) & ((c_2Eoption_2ESOME @ X1 @ X6) = X4) & ((X2 @ X5 @ X6) = $true)) => (((c_2Eoption_2ESOME @ X0 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2)) = X3) & ((c_2Eoption_2ESOME @ X1 @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = X4) & ((X2 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2) @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = $true)))),
% 1.46/0.60 introduced(choice_axiom,[])).
% 1.46/0.60 thf(f80,plain,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : ((((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3)) | ? [X5 : X0,X6 : X1] : (((c_2Eoption_2ESOME @ X0 @ X5) = X3) & ((c_2Eoption_2ESOME @ X1 @ X6) = X4) & ((X2 @ X5 @ X6) = $true)) | ($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4))) & (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | (((c_2Eoption_2ENONE @ X1 != X4) | (c_2Eoption_2ENONE @ X0 != X3)) & ! [X7 : X0,X8 : X1] : (((c_2Eoption_2ESOME @ X0 @ X7) != X3) | ((c_2Eoption_2ESOME @ X1 @ X8) != X4) | ($true != (X2 @ X7 @ X8))))))),
% 1.46/0.60 inference(rectify,[],[f79])).
% 1.46/0.60 thf(f79,plain,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : ((((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3)) | ? [X5 : X0,X6 : X1] : (((c_2Eoption_2ESOME @ X0 @ X5) = X3) & ((c_2Eoption_2ESOME @ X1 @ X6) = X4) & ((X2 @ X5 @ X6) = $true)) | ($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4))) & (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | (((c_2Eoption_2ENONE @ X1 != X4) | (c_2Eoption_2ENONE @ X0 != X3)) & ! [X5 : X0,X6 : X1] : (((c_2Eoption_2ESOME @ X0 @ X5) != X3) | ((c_2Eoption_2ESOME @ X1 @ X6) != X4) | ((X2 @ X5 @ X6) != $true)))))),
% 1.46/0.60 inference(flattening,[],[f78])).
% 1.46/0.60 thf(f78,plain,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (((((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3)) | ? [X5 : X0,X6 : X1] : (((c_2Eoption_2ESOME @ X0 @ X5) = X3) & ((c_2Eoption_2ESOME @ X1 @ X6) = X4) & ((X2 @ X5 @ X6) = $true))) | ($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4))) & (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | (((c_2Eoption_2ENONE @ X1 != X4) | (c_2Eoption_2ENONE @ X0 != X3)) & ! [X5 : X0,X6 : X1] : (((c_2Eoption_2ESOME @ X0 @ X5) != X3) | ((c_2Eoption_2ESOME @ X1 @ X6) != X4) | ((X2 @ X5 @ X6) != $true)))))),
% 1.46/0.60 inference(nnf_transformation,[],[f27])).
% 1.46/0.60 thf(f27,plain,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : ((((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3)) | ? [X5 : X0,X6 : X1] : (((c_2Eoption_2ESOME @ X0 @ X5) = X3) & ((c_2Eoption_2ESOME @ X1 @ X6) = X4) & ((X2 @ X5 @ X6) = $true))) <=> ($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 1.46/0.60 inference(fool_elimination,[],[f26])).
% 1.46/0.60 thf(f26,plain,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : ((((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3)) | ? [X5 : X0,X6 : X1] : (((c_2Eoption_2ESOME @ X1 @ X6) = X4) & ((c_2Eoption_2ESOME @ X0 @ X5) = X3) & (X2 @ X5 @ X6))) <=> (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4))),
% 1.46/0.60 inference(rectify,[],[f18])).
% 1.46/0.60 thf(f18,axiom,(
% 1.46/0.60 ! [X0 : $tType,X1 : $tType,X35 : X0 > X1 > $o,X5 : tyop_2Eoption_2Eoption @ X0,X36 : tyop_2Eoption_2Eoption @ X1] : ((((c_2Eoption_2ENONE @ X1 = X36) & (c_2Eoption_2ENONE @ X0 = X5)) | ? [X37 : X0,X38 : X1] : (((c_2Eoption_2ESOME @ X1 @ X38) = X36) & ((c_2Eoption_2ESOME @ X0 @ X37) = X5) & (X35 @ X37 @ X38))) <=> (c_2Eoption_2EOPTREL @ X0 @ X1 @ X35 @ X5 @ X36))),
% 1.46/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eoption_2EOPTREL__def)).
% 1.46/0.60 thf(f1019,plain,(
% 1.46/0.60 ((sK6 @ (sK1 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6) @ sK4) = $true) | ~spl8_3),
% 1.46/0.60 inference(backward_demodulation,[],[f916,f1016])).
% 1.46/0.60 thf(f1016,plain,(
% 1.46/0.60 (sK4 = (sK2 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6)) | ~spl8_3),
% 1.46/0.60 inference(forward_demodulation,[],[f1007,f170])).
% 1.46/0.60 thf(f1007,plain,(
% 1.46/0.60 ((c_2Eoption_2ETHE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4)) = (sK2 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6)) | ~spl8_3),
% 1.46/0.60 inference(superposition,[],[f170,f914])).
% 1.46/0.60 thf(f914,plain,(
% 1.46/0.60 ((c_2Eoption_2ESOME @ sK3 @ sK4) = (c_2Eoption_2ESOME @ sK3 @ (sK2 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6))) | ~spl8_3),
% 1.46/0.60 inference(subsumption_resolution,[],[f912,f289])).
% 1.46/0.60 thf(f912,plain,(
% 1.46/0.60 (c_2Eoption_2ENONE @ sK3 = (c_2Eoption_2ESOME @ sK3 @ sK5)) | ((c_2Eoption_2ESOME @ sK3 @ sK4) = (c_2Eoption_2ESOME @ sK3 @ (sK2 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6))) | ~spl8_3),
% 1.46/0.60 inference(trivial_inequality_removal,[],[f895])).
% 1.46/0.60 thf(f895,plain,(
% 1.46/0.60 ($true != $true) | ((c_2Eoption_2ESOME @ sK3 @ sK4) = (c_2Eoption_2ESOME @ sK3 @ (sK2 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6))) | (c_2Eoption_2ENONE @ sK3 = (c_2Eoption_2ESOME @ sK3 @ sK5)) | ~spl8_3),
% 1.46/0.60 inference(superposition,[],[f132,f325])).
% 1.46/0.60 thf(f132,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | ((c_2Eoption_2ESOME @ X1 @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = X4) | (c_2Eoption_2ENONE @ X0 = X3)) )),
% 1.46/0.60 inference(cnf_transformation,[],[f82])).
% 1.46/0.60 thf(f916,plain,(
% 1.46/0.60 ((sK6 @ (sK1 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6) @ (sK2 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6)) = $true) | ~spl8_3),
% 1.46/0.60 inference(subsumption_resolution,[],[f906,f289])).
% 1.46/0.60 thf(f906,plain,(
% 1.46/0.60 (c_2Eoption_2ENONE @ sK3 = (c_2Eoption_2ESOME @ sK3 @ sK5)) | ((sK6 @ (sK1 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6) @ (sK2 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6)) = $true) | ~spl8_3),
% 1.46/0.60 inference(trivial_inequality_removal,[],[f894])).
% 1.46/0.60 thf(f894,plain,(
% 1.46/0.60 (c_2Eoption_2ENONE @ sK3 = (c_2Eoption_2ESOME @ sK3 @ sK5)) | ((sK6 @ (sK1 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6) @ (sK2 @ sK3 @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4) @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ sK6)) = $true) | ($true != $true) | ~spl8_3),
% 1.46/0.60 inference(superposition,[],[f131,f325])).
% 1.46/0.60 thf(f131,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | ((X2 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2) @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = $true) | (c_2Eoption_2ENONE @ X0 = X3)) )),
% 1.46/0.60 inference(cnf_transformation,[],[f82])).
% 1.46/0.60 thf(f872,plain,(
% 1.46/0.60 ~spl8_3 | ~spl8_6),
% 1.46/0.60 inference(avatar_contradiction_clause,[],[f871])).
% 1.46/0.60 thf(f871,plain,(
% 1.46/0.60 $false | (~spl8_3 | ~spl8_6)),
% 1.46/0.60 inference(trivial_inequality_removal,[],[f870])).
% 1.46/0.60 thf(f870,plain,(
% 1.46/0.60 ($false = $true) | (~spl8_3 | ~spl8_6)),
% 1.46/0.60 inference(forward_demodulation,[],[f325,f339])).
% 1.46/0.60 thf(f339,plain,(
% 1.46/0.60 ($false = (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ~spl8_6),
% 1.46/0.60 inference(avatar_component_clause,[],[f337])).
% 1.46/0.60 thf(f337,plain,(
% 1.46/0.60 spl8_6 <=> ($false = (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4)))),
% 1.46/0.60 introduced(avatar_definition,[new_symbols(naming,[spl8_6])])).
% 1.46/0.60 thf(f869,plain,(
% 1.46/0.60 spl8_5),
% 1.46/0.60 inference(avatar_contradiction_clause,[],[f868])).
% 1.46/0.60 thf(f868,plain,(
% 1.46/0.60 $false | spl8_5),
% 1.46/0.60 inference(trivial_inequality_removal,[],[f867])).
% 1.46/0.60 thf(f867,plain,(
% 1.46/0.60 ($false = $true) | spl8_5),
% 1.46/0.60 inference(forward_demodulation,[],[f866,f295])).
% 1.46/0.60 thf(f295,plain,(
% 1.46/0.60 ( ! [X0 : $tType] : (((c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0) = $false)) )),
% 1.46/0.60 inference(boolean_simplification,[],[f218])).
% 1.46/0.60 thf(f218,plain,(
% 1.46/0.60 ( ! [X0 : $tType] : (((c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0) = (~ $true))) )),
% 1.46/0.60 inference(definition_unfolding,[],[f172,f195])).
% 1.46/0.60 thf(f195,plain,(
% 1.46/0.60 (c_2Ebool_2EF = (~ $true))),
% 1.46/0.60 inference(definition_unfolding,[],[f141,f137])).
% 1.46/0.60 thf(f137,plain,(
% 1.46/0.60 (c_2Ebool_2ET = $true)),
% 1.46/0.60 inference(cnf_transformation,[],[f41])).
% 1.46/0.60 thf(f41,plain,(
% 1.46/0.60 (c_2Ebool_2ET = $true)),
% 1.46/0.60 inference(fool_elimination,[],[f40])).
% 1.46/0.60 thf(f40,plain,(
% 1.46/0.60 c_2Ebool_2ET),
% 1.46/0.60 inference(rectify,[],[f8])).
% 1.46/0.60 thf(f8,axiom,(
% 1.46/0.60 c_2Ebool_2ET),
% 1.46/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH)).
% 1.46/0.60 thf(f141,plain,(
% 1.46/0.60 (c_2Ebool_2EF = (~ c_2Ebool_2ET))),
% 1.46/0.60 inference(cnf_transformation,[],[f37])).
% 1.46/0.60 thf(f37,plain,(
% 1.46/0.60 (c_2Ebool_2EF = (~ c_2Ebool_2ET)) & (c_2Ebool_2ET = (~ c_2Ebool_2EF)) & ! [X0 : $o] : ((~ (~ X0)) = X0)),
% 1.46/0.60 inference(fool_elimination,[],[f36])).
% 1.46/0.60 thf(f36,plain,(
% 1.46/0.60 (c_2Ebool_2EF <=> (~ c_2Ebool_2ET)) & ! [X0 : $o] : ((~ (~ X0)) <=> X0) & (c_2Ebool_2ET <=> (~ c_2Ebool_2EF))),
% 1.46/0.60 inference(rectify,[],[f14])).
% 1.46/0.60 thf(f14,axiom,(
% 1.46/0.60 (c_2Ebool_2EF <=> (~ c_2Ebool_2ET)) & ! [X8 : $o] : ((~ (~ X8)) <=> X8) & (c_2Ebool_2ET <=> (~ c_2Ebool_2EF))),
% 1.46/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ENOT__CLAUSES)).
% 1.46/0.60 thf(f172,plain,(
% 1.46/0.60 ( ! [X0 : $tType] : ((c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0))) )),
% 1.46/0.60 inference(cnf_transformation,[],[f90])).
% 1.46/0.60 thf(f866,plain,(
% 1.46/0.60 ($true = (c_2Eoption_2EIS__SOME @ sK3 @ c_2Eoption_2ENONE @ sK3)) | spl8_5),
% 1.46/0.60 inference(subsumption_resolution,[],[f865,f289])).
% 1.46/0.60 thf(f865,plain,(
% 1.46/0.60 (c_2Eoption_2ENONE @ sK3 = (c_2Eoption_2ESOME @ sK3 @ sK5)) | ($true = (c_2Eoption_2EIS__SOME @ sK3 @ c_2Eoption_2ENONE @ sK3)) | spl8_5),
% 1.46/0.60 inference(trivial_inequality_removal,[],[f863])).
% 1.46/0.60 thf(f863,plain,(
% 1.46/0.60 ($true = (c_2Eoption_2EIS__SOME @ sK3 @ c_2Eoption_2ENONE @ sK3)) | ($false != $false) | (c_2Eoption_2ENONE @ sK3 = (c_2Eoption_2ESOME @ sK3 @ sK5)) | spl8_5),
% 1.46/0.60 inference(superposition,[],[f333,f508])).
% 1.46/0.60 thf(f508,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Eoption_2Eoption @ X0,X3 : tyop_2Eoption_2Eoption @ X1,X4 : X1 > X0 > $o] : (($false = (c_2Eoption_2EOPTREL @ X1 @ X0 @ X4 @ X3 @ X2)) | (c_2Eoption_2ENONE @ X1 = X3) | ($true = (c_2Eoption_2EIS__SOME @ X0 @ X2))) )),
% 1.46/0.60 inference(superposition,[],[f219,f376])).
% 1.46/0.60 thf(f376,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0 > $o,X3 : tyop_2Eoption_2Eoption @ X1,X4 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2ESOME @ X0 @ (sK2 @ X1 @ X0 @ X4 @ X3 @ X2)) = X4) | ($false = (c_2Eoption_2EOPTREL @ X1 @ X0 @ X2 @ X3 @ X4)) | (c_2Eoption_2ENONE @ X1 = X3)) )),
% 1.46/0.60 inference(trivial_inequality_removal,[],[f375])).
% 1.46/0.60 thf(f375,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0 > $o,X3 : tyop_2Eoption_2Eoption @ X1,X4 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2ESOME @ X0 @ (sK2 @ X1 @ X0 @ X4 @ X3 @ X2)) = X4) | ($false = (c_2Eoption_2EOPTREL @ X1 @ X0 @ X2 @ X3 @ X4)) | ($true != $true) | (c_2Eoption_2ENONE @ X1 = X3)) )),
% 1.46/0.60 inference(superposition,[],[f132,f302])).
% 1.46/0.60 thf(f302,plain,(
% 1.46/0.60 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 1.46/0.60 inference(not_proxy_clausification,[],[f301])).
% 1.46/0.60 thf(f301,plain,(
% 1.46/0.60 ( ! [X0 : $o] : (($true != (~ X0)) | ($false = X0)) )),
% 1.46/0.60 inference(boolean_simplification,[],[f217])).
% 1.46/0.60 thf(f217,plain,(
% 1.46/0.60 ( ! [X0 : $o] : (($true != (~ X0)) | ((~ $true) = X0)) )),
% 1.46/0.60 inference(definition_unfolding,[],[f146,f195])).
% 1.46/0.60 thf(f146,plain,(
% 1.46/0.60 ( ! [X0 : $o] : ((c_2Ebool_2EF = X0) | ($true != (~ X0))) )),
% 1.46/0.60 inference(cnf_transformation,[],[f88])).
% 1.46/0.60 thf(f88,plain,(
% 1.46/0.60 ! [X0 : $o] : ((($true = X0) | (c_2Ebool_2ET != X0)) & ((c_2Ebool_2ET = X0) | ($true != X0)) & ((c_2Ebool_2EF = X0) | ($true != (~ X0))) & (($true = (~ X0)) | (c_2Ebool_2EF != X0)) & ((c_2Ebool_2ET = X0) | ($true != X0)) & (($true = X0) | (c_2Ebool_2ET != X0)) & (($true = (~ X0)) | (c_2Ebool_2EF != X0)) & ((c_2Ebool_2EF = X0) | ($true != (~ X0))))),
% 1.46/0.60 inference(flattening,[],[f87])).
% 1.46/0.60 thf(f87,plain,(
% 1.46/0.60 ! [X0 : $o] : (((($true = X0) | (c_2Ebool_2ET != X0)) & ((c_2Ebool_2ET = X0) | ($true != X0))) & (((c_2Ebool_2EF = X0) | ($true != (~ X0))) & (($true = (~ X0)) | (c_2Ebool_2EF != X0))) & (((c_2Ebool_2ET = X0) | ($true != X0)) & (($true = X0) | (c_2Ebool_2ET != X0))) & ((($true = (~ X0)) | (c_2Ebool_2EF != X0)) & ((c_2Ebool_2EF = X0) | ($true != (~ X0)))))),
% 1.46/0.60 inference(nnf_transformation,[],[f53])).
% 1.46/0.60 thf(f53,plain,(
% 1.46/0.60 ! [X0 : $o] : ((($true = X0) <=> (c_2Ebool_2ET = X0)) & ((c_2Ebool_2EF = X0) <=> ($true = (~ X0))) & ((c_2Ebool_2ET = X0) <=> ($true = X0)) & (($true = (~ X0)) <=> (c_2Ebool_2EF = X0)))),
% 1.46/0.60 inference(fool_elimination,[],[f52])).
% 1.46/0.60 thf(f52,plain,(
% 1.46/0.60 ! [X0 : $o] : (((c_2Ebool_2EF = X0) <=> (~ X0)) & ((c_2Ebool_2ET = X0) <=> X0) & (X0 <=> (c_2Ebool_2ET = X0)) & ((c_2Ebool_2EF = X0) <=> (~ X0)))),
% 1.46/0.60 inference(rectify,[],[f16])).
% 1.46/0.60 thf(f16,axiom,(
% 1.46/0.60 ! [X8 : $o] : (((c_2Ebool_2EF = X8) <=> (~ X8)) & ((c_2Ebool_2ET = X8) <=> X8) & (X8 <=> (c_2Ebool_2ET = X8)) & ((c_2Ebool_2EF = X8) <=> (~ X8)))),
% 1.46/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES)).
% 1.46/0.60 thf(f219,plain,(
% 1.46/0.60 ( ! [X0 : $tType,X17 : X0] : (((c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X17)) = $true)) )),
% 1.46/0.60 inference(definition_unfolding,[],[f164,f137])).
% 1.46/0.60 thf(f164,plain,(
% 1.46/0.60 ( ! [X0 : $tType,X17 : X0] : ((c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X17)))) )),
% 1.46/0.60 inference(cnf_transformation,[],[f90])).
% 1.46/0.60 thf(f333,plain,(
% 1.46/0.60 ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3) != $false) | spl8_5),
% 1.46/0.60 inference(avatar_component_clause,[],[f331])).
% 1.46/0.60 thf(f331,plain,(
% 1.46/0.60 spl8_5 <=> ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3) = $false)),
% 1.46/0.60 introduced(avatar_definition,[new_symbols(naming,[spl8_5])])).
% 1.46/0.60 thf(f848,plain,(
% 1.46/0.60 spl8_4),
% 1.46/0.60 inference(avatar_contradiction_clause,[],[f847])).
% 1.46/0.60 thf(f847,plain,(
% 1.46/0.60 $false | spl8_4),
% 1.46/0.60 inference(trivial_inequality_removal,[],[f846])).
% 1.46/0.60 thf(f846,plain,(
% 1.46/0.60 ($false = $true) | spl8_4),
% 1.46/0.60 inference(forward_demodulation,[],[f845,f295])).
% 1.46/0.60 thf(f845,plain,(
% 1.46/0.60 ($true = (c_2Eoption_2EIS__SOME @ sK3 @ c_2Eoption_2ENONE @ sK3)) | spl8_4),
% 1.46/0.60 inference(subsumption_resolution,[],[f839,f289])).
% 1.46/0.60 thf(f839,plain,(
% 1.46/0.60 ($true = (c_2Eoption_2EIS__SOME @ sK3 @ c_2Eoption_2ENONE @ sK3)) | (c_2Eoption_2ENONE @ sK3 = (c_2Eoption_2ESOME @ sK3 @ sK4)) | spl8_4),
% 1.46/0.60 inference(trivial_inequality_removal,[],[f823])).
% 1.46/0.60 thf(f823,plain,(
% 1.46/0.60 ($true = (c_2Eoption_2EIS__SOME @ sK3 @ c_2Eoption_2ENONE @ sK3)) | ($false != $false) | (c_2Eoption_2ENONE @ sK3 = (c_2Eoption_2ESOME @ sK3 @ sK4)) | spl8_4),
% 1.46/0.60 inference(superposition,[],[f329,f544])).
% 1.46/0.60 thf(f544,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Eoption_2Eoption @ X1,X3 : tyop_2Eoption_2Eoption @ X0,X4 : X0 > X1 > $o] : (($false = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X4 @ X3 @ X2)) | (c_2Eoption_2ENONE @ X1 = X2) | ($true = (c_2Eoption_2EIS__SOME @ X0 @ X3))) )),
% 1.46/0.60 inference(superposition,[],[f219,f403])).
% 1.46/0.60 thf(f403,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0 > $o,X3 : tyop_2Eoption_2Eoption @ X1,X4 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2ESOME @ X1 @ (sK1 @ X1 @ X0 @ X4 @ X3 @ X2)) = X3) | ($false = (c_2Eoption_2EOPTREL @ X1 @ X0 @ X2 @ X3 @ X4)) | (c_2Eoption_2ENONE @ X0 = X4)) )),
% 1.46/0.60 inference(trivial_inequality_removal,[],[f402])).
% 1.46/0.60 thf(f402,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0 > $o,X3 : tyop_2Eoption_2Eoption @ X1,X4 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2ENONE @ X0 = X4) | ($true != $true) | ((c_2Eoption_2ESOME @ X1 @ (sK1 @ X1 @ X0 @ X4 @ X3 @ X2)) = X3) | ($false = (c_2Eoption_2EOPTREL @ X1 @ X0 @ X2 @ X3 @ X4))) )),
% 1.46/0.60 inference(superposition,[],[f136,f302])).
% 1.46/0.60 thf(f329,plain,(
% 1.46/0.60 ($false != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | spl8_4),
% 1.46/0.60 inference(avatar_component_clause,[],[f327])).
% 1.46/0.60 thf(f327,plain,(
% 1.46/0.60 spl8_4 <=> ($false = (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4)))),
% 1.46/0.60 introduced(avatar_definition,[new_symbols(naming,[spl8_4])])).
% 1.46/0.60 thf(f344,plain,(
% 1.46/0.60 spl8_6 | ~spl8_4 | spl8_7 | ~spl8_5),
% 1.46/0.60 inference(avatar_split_clause,[],[f335,f331,f341,f327,f337])).
% 1.46/0.60 thf(f335,plain,(
% 1.46/0.60 ($false != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ($false = (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3) != $false) | ($false = (sK6 @ sK5 @ sK4))),
% 1.46/0.60 inference(subsumption_resolution,[],[f285,f250])).
% 1.46/0.60 thf(f250,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o] : (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X1))) )),
% 1.46/0.60 inference(equality_resolution,[],[f249])).
% 1.46/0.60 thf(f249,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0] : (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ c_2Eoption_2ENONE @ X1)) | (c_2Eoption_2ENONE @ X0 != X3)) )),
% 1.46/0.60 inference(equality_resolution,[],[f130])).
% 1.46/0.60 thf(f130,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | (c_2Eoption_2ENONE @ X1 != X4) | (c_2Eoption_2ENONE @ X0 != X3)) )),
% 1.46/0.60 inference(cnf_transformation,[],[f82])).
% 1.46/0.60 thf(f285,plain,(
% 1.46/0.60 ($false != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ($false = (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ($false = (sK6 @ sK5 @ sK4)) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3) != $false) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ c_2Eoption_2ENONE @ sK3) != $true)),
% 1.46/0.60 inference(binary_proxy_clausification,[],[f283])).
% 1.46/0.60 thf(f283,plain,(
% 1.46/0.60 ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ c_2Eoption_2ENONE @ sK3) != $true) | ($false != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3) != $false) | ((sK6 @ sK5 @ sK4) != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4)))),
% 1.46/0.60 inference(boolean_simplification,[],[f282])).
% 1.46/0.60 thf(f282,plain,(
% 1.46/0.60 ((sK6 @ sK5 @ sK4) != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3) != (~ $true)) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ c_2Eoption_2ENONE @ sK3) != $true) | ($false != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4)))),
% 1.46/0.60 inference(boolean_simplification,[],[f209])).
% 1.46/0.60 thf(f209,plain,(
% 1.46/0.60 ((sK6 @ sK5 @ sK4) != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ((~ $true) != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ c_2Eoption_2ENONE @ sK3) != $true) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3) != (~ $true))),
% 1.46/0.60 inference(definition_unfolding,[],[f142,f195,f195,f137])).
% 1.46/0.60 thf(f142,plain,(
% 1.46/0.60 (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3)) | ((sK6 @ sK5 @ sK4) != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | (c_2Ebool_2ET != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ c_2Eoption_2ENONE @ sK3))),
% 1.46/0.60 inference(cnf_transformation,[],[f84])).
% 1.46/0.60 thf(f84,plain,(
% 1.46/0.60 (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3)) | ((sK6 @ sK5 @ sK4) != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | (c_2Ebool_2ET != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ c_2Eoption_2ENONE @ sK3))),
% 1.46/0.60 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f62,f83])).
% 1.46/0.60 thf(f83,plain,(
% 1.46/0.60 ? [X0 : $tType,X1 : X0,X2 : X0,X3 : X0 > X0 > $o] : ((c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ c_2Eoption_2ENONE @ X0)) | ((X3 @ X2 @ X1) != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ (c_2Eoption_2ESOME @ X0 @ X1))) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))) | (c_2Ebool_2ET != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X0))) => ((c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3)) | ((sK6 @ sK5 @ sK4) != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | (c_2Ebool_2ET != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ c_2Eoption_2ENONE @ sK3)))),
% 1.46/0.60 introduced(choice_axiom,[])).
% 1.46/0.60 thf(f62,plain,(
% 1.46/0.60 ? [X0 : $tType,X1 : X0,X2 : X0,X3 : X0 > X0 > $o] : ((c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ c_2Eoption_2ENONE @ X0)) | ((X3 @ X2 @ X1) != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ (c_2Eoption_2ESOME @ X0 @ X1))) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))) | (c_2Ebool_2ET != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X0)))),
% 1.46/0.60 inference(ennf_transformation,[],[f58])).
% 1.46/0.60 thf(f58,plain,(
% 1.46/0.60 ~! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0 > X0 > $o] : ((c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))) & (c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ c_2Eoption_2ENONE @ X0)) & (c_2Ebool_2ET = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X0)) & ((X3 @ X2 @ X1) = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ (c_2Eoption_2ESOME @ X0 @ X1))))),
% 1.46/0.60 inference(rectify,[],[f20])).
% 1.46/0.60 thf(f20,negated_conjecture,(
% 1.46/0.60 ~! [X0 : $tType,X39 : X0,X5 : X0,X40 : X0 > X0 > $o] : ((c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X39))) & (c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ (c_2Eoption_2ESOME @ X0 @ X5) @ c_2Eoption_2ENONE @ X0)) & ((c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ (c_2Eoption_2ESOME @ X0 @ X5) @ (c_2Eoption_2ESOME @ X0 @ X39)) = (X40 @ X5 @ X39)) & (c_2Ebool_2ET = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X0)))),
% 1.46/0.60 inference(negated_conjecture,[],[f19])).
% 1.46/0.60 thf(f19,conjecture,(
% 1.46/0.60 ! [X0 : $tType,X39 : X0,X5 : X0,X40 : X0 > X0 > $o] : ((c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X39))) & (c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ (c_2Eoption_2ESOME @ X0 @ X5) @ c_2Eoption_2ENONE @ X0)) & ((c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ (c_2Eoption_2ESOME @ X0 @ X5) @ (c_2Eoption_2ESOME @ X0 @ X39)) = (X40 @ X5 @ X39)) & (c_2Ebool_2ET = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X0)))),
% 1.46/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Equotient__option_2EOPTION__REL__def)).
% 1.46/0.60 thf(f334,plain,(
% 1.46/0.60 spl8_3 | ~spl8_4 | ~spl8_5),
% 1.46/0.60 inference(avatar_split_clause,[],[f321,f331,f327,f323])).
% 1.46/0.60 thf(f321,plain,(
% 1.46/0.60 ($true = (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3) != $false) | ($false != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4)))),
% 1.46/0.60 inference(subsumption_resolution,[],[f320,f252])).
% 1.46/0.60 thf(f252,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X8 : X1,X7 : X0] : (($true != (X2 @ X7 @ X8)) | ((c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ (c_2Eoption_2ESOME @ X0 @ X7) @ (c_2Eoption_2ESOME @ X1 @ X8)) = $true)) )),
% 1.46/0.60 inference(equality_resolution,[],[f251])).
% 1.46/0.60 thf(f251,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X8 : X1,X7 : X0,X4 : tyop_2Eoption_2Eoption @ X1] : (((c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ (c_2Eoption_2ESOME @ X0 @ X7) @ X4) = $true) | ((c_2Eoption_2ESOME @ X1 @ X8) != X4) | ($true != (X2 @ X7 @ X8))) )),
% 1.46/0.60 inference(equality_resolution,[],[f129])).
% 1.46/0.60 thf(f129,plain,(
% 1.46/0.60 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X8 : X1,X7 : X0,X4 : tyop_2Eoption_2Eoption @ X1] : (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | ((c_2Eoption_2ESOME @ X0 @ X7) != X3) | ((c_2Eoption_2ESOME @ X1 @ X8) != X4) | ($true != (X2 @ X7 @ X8))) )),
% 1.46/0.60 inference(cnf_transformation,[],[f82])).
% 1.46/0.60 thf(f320,plain,(
% 1.46/0.60 ((sK6 @ sK5 @ sK4) = $true) | ($false != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ($true = (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3) != $false)),
% 1.46/0.60 inference(subsumption_resolution,[],[f284,f250])).
% 1.46/0.60 thf(f284,plain,(
% 1.46/0.60 ((sK6 @ sK5 @ sK4) = $true) | ($false != (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ c_2Eoption_2ENONE @ sK3) != $false) | ($true = (c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ (c_2Eoption_2ESOME @ sK3 @ sK5) @ (c_2Eoption_2ESOME @ sK3 @ sK4))) | ((c_2Eoption_2EOPTREL @ sK3 @ sK3 @ sK6 @ c_2Eoption_2ENONE @ sK3 @ c_2Eoption_2ENONE @ sK3) != $true)),
% 1.46/0.60 inference(binary_proxy_clausification,[],[f283])).
% 1.46/0.60 % SZS output end Proof for theBenchmark
% 1.46/0.60 % (6183)------------------------------
% 1.46/0.60 % (6183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.60 % (6183)Termination reason: Refutation
% 1.46/0.60
% 1.46/0.60 % (6183)Memory used [KB]: 6652
% 1.46/0.60 % (6183)Time elapsed: 0.133 s
% 1.46/0.60 % (6183)Instructions burned: 321 (million)
% 1.46/0.60 % (6183)------------------------------
% 1.46/0.60 % (6183)------------------------------
% 1.46/0.60 % (6153)Success in time 0.24 s
% 1.46/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------