TSTP Solution File: ITP076^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP076^2 : TPTP v8.2.0. Released 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.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 22:33:24 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP076^2 : TPTP v8.2.0. Released 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 15:47:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH1_THM_EQU_NAR problem
% 0.15/0.36 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
% 0.22/0.41 % (4687)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)
% 0.22/0.42 % (4687)Instruction limit reached!
% 0.22/0.42 % (4687)------------------------------
% 0.22/0.42 % (4687)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (4687)Termination reason: Unknown
% 0.22/0.42 % (4687)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (4687)Memory used [KB]: 1279
% 0.22/0.42 % (4687)Time elapsed: 0.005 s
% 0.22/0.42 % (4687)Instructions burned: 5 (million)
% 0.22/0.42 % (4687)------------------------------
% 0.22/0.42 % (4687)------------------------------
% 0.22/0.42 % (4686)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.42 % (4688)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)
% 0.22/0.42 % (4689)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.42 % (4691)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)
% 0.22/0.42 % (4692)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.42 % (4690)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)
% 0.22/0.42 % (4693)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)
% 0.22/0.42 % (4689)Instruction limit reached!
% 0.22/0.42 % (4689)------------------------------
% 0.22/0.42 % (4689)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (4689)Termination reason: Unknown
% 0.22/0.42 % (4689)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (4689)Memory used [KB]: 1279
% 0.22/0.42 % (4689)Time elapsed: 0.004 s
% 0.22/0.42 % (4689)Instructions burned: 2 (million)
% 0.22/0.42 % (4689)------------------------------
% 0.22/0.42 % (4689)------------------------------
% 0.22/0.42 % (4690)Instruction limit reached!
% 0.22/0.42 % (4690)------------------------------
% 0.22/0.42 % (4690)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (4690)Termination reason: Unknown
% 0.22/0.42 % (4690)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (4690)Memory used [KB]: 1279
% 0.22/0.42 % (4690)Time elapsed: 0.005 s
% 0.22/0.42 % (4690)Instructions burned: 2 (million)
% 0.22/0.42 % (4690)------------------------------
% 0.22/0.42 % (4690)------------------------------
% 0.22/0.42 % (4693)Instruction limit reached!
% 0.22/0.42 % (4693)------------------------------
% 0.22/0.42 % (4693)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (4693)Termination reason: Unknown
% 0.22/0.42 % (4693)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (4693)Memory used [KB]: 1279
% 0.22/0.42 % (4693)Time elapsed: 0.006 s
% 0.22/0.42 % (4693)Instructions burned: 3 (million)
% 0.22/0.42 % (4693)------------------------------
% 0.22/0.42 % (4693)------------------------------
% 0.22/0.44 % (4692)Instruction limit reached!
% 0.22/0.44 % (4692)------------------------------
% 0.22/0.44 % (4692)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (4692)Termination reason: Unknown
% 0.22/0.44 % (4692)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (4692)Memory used [KB]: 1535
% 0.22/0.44 % (4692)Time elapsed: 0.020 s
% 0.22/0.44 % (4692)Instructions burned: 18 (million)
% 0.22/0.44 % (4692)------------------------------
% 0.22/0.44 % (4692)------------------------------
% 0.22/0.44 % (4694)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)
% 0.22/0.44 % (4696)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)
% 0.22/0.44 % (4688)Instruction limit reached!
% 0.22/0.44 % (4688)------------------------------
% 0.22/0.44 % (4688)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (4688)Termination reason: Unknown
% 0.22/0.44 % (4688)Termination phase: Preprocessing 1
% 0.22/0.44
% 0.22/0.44 % (4688)Memory used [KB]: 1663
% 0.22/0.44 % (4688)Time elapsed: 0.028 s
% 0.22/0.44 % (4688)Instructions burned: 27 (million)
% 0.22/0.44 % (4688)------------------------------
% 0.22/0.44 % (4688)------------------------------
% 0.22/0.45 % (4695)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)
% 0.22/0.45 % (4696)Instruction limit reached!
% 0.22/0.45 % (4696)------------------------------
% 0.22/0.45 % (4696)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (4696)Termination reason: Unknown
% 0.22/0.45 % (4696)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (4696)Memory used [KB]: 1279
% 0.22/0.45 % (4696)Time elapsed: 0.005 s
% 0.22/0.45 % (4696)Instructions burned: 4 (million)
% 0.22/0.45 % (4696)------------------------------
% 0.22/0.45 % (4696)------------------------------
% 0.22/0.45 % (4697)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)
% 0.22/0.45 % (4691)Refutation not found, incomplete strategy
% 0.22/0.45 % (4691)------------------------------
% 0.22/0.45 % (4691)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (4691)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (4691)Memory used [KB]: 6268
% 0.22/0.45 % (4691)Time elapsed: 0.034 s
% 0.22/0.45 % (4691)Instructions burned: 37 (million)
% 0.22/0.45 % (4691)------------------------------
% 0.22/0.45 % (4691)------------------------------
% 0.22/0.46 % (4695)Instruction limit reached!
% 0.22/0.46 % (4695)------------------------------
% 0.22/0.46 % (4695)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (4695)Termination reason: Unknown
% 0.22/0.46 % (4695)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (4695)Memory used [KB]: 1535
% 0.22/0.46 % (4695)Time elapsed: 0.015 s
% 0.22/0.46 % (4695)Instructions burned: 15 (million)
% 0.22/0.46 % (4695)------------------------------
% 0.22/0.46 % (4695)------------------------------
% 0.22/0.46 % (4698)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.46 % (4700)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)
% 0.22/0.46 % (4699)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.46 % (4700)Instruction limit reached!
% 0.22/0.46 % (4700)------------------------------
% 0.22/0.46 % (4700)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (4700)Termination reason: Unknown
% 0.22/0.46 % (4700)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (4700)Memory used [KB]: 1279
% 0.22/0.46 % (4700)Time elapsed: 0.003 s
% 0.22/0.46 % (4700)Instructions burned: 3 (million)
% 0.22/0.46 % (4700)------------------------------
% 0.22/0.46 % (4700)------------------------------
% 0.22/0.46 % (4698)Instruction limit reached!
% 0.22/0.46 % (4698)------------------------------
% 0.22/0.46 % (4698)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (4698)Termination reason: Unknown
% 0.22/0.46 % (4698)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (4698)Memory used [KB]: 1407
% 0.22/0.46 % (4698)Time elapsed: 0.007 s
% 0.22/0.46 % (4698)Instructions burned: 7 (million)
% 0.22/0.46 % (4698)------------------------------
% 0.22/0.46 % (4698)------------------------------
% 0.22/0.47 % (4694)Instruction limit reached!
% 0.22/0.47 % (4694)------------------------------
% 0.22/0.47 % (4694)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (4694)Termination reason: Unknown
% 0.22/0.47 % (4694)Termination phase: Property scanning
% 0.22/0.47
% 0.22/0.47 % (4694)Memory used [KB]: 2046
% 0.22/0.47 % (4701)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)
% 0.22/0.47 % (4694)Time elapsed: 0.031 s
% 0.22/0.47 % (4694)Instructions burned: 37 (million)
% 0.22/0.47 % (4694)------------------------------
% 0.22/0.47 % (4694)------------------------------
% 0.22/0.47 % (4701)Instruction limit reached!
% 0.22/0.47 % (4701)------------------------------
% 0.22/0.47 % (4701)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (4701)Termination reason: Unknown
% 0.22/0.47 % (4701)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (4701)Memory used [KB]: 1279
% 0.22/0.47 % (4701)Time elapsed: 0.004 s
% 0.22/0.47 % (4701)Instructions burned: 3 (million)
% 0.22/0.47 % (4701)------------------------------
% 0.22/0.47 % (4701)------------------------------
% 0.22/0.47 % (4699)Instruction limit reached!
% 0.22/0.47 % (4699)------------------------------
% 0.22/0.47 % (4699)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (4699)Termination reason: Unknown
% 0.22/0.47 % (4699)Termination phase: Property scanning
% 0.22/0.47
% 0.22/0.47 % (4699)Memory used [KB]: 1535
% 0.22/0.47 % (4699)Time elapsed: 0.011 s
% 0.22/0.47 % (4699)Instructions burned: 16 (million)
% 0.22/0.47 % (4699)------------------------------
% 0.22/0.47 % (4699)------------------------------
% 0.22/0.47 % (4702)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)
% 0.22/0.48 % (4703)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)
% 0.22/0.48 % (4702)Instruction limit reached!
% 0.22/0.48 % (4702)------------------------------
% 0.22/0.48 % (4702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (4702)Termination reason: Unknown
% 0.22/0.48 % (4702)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (4702)Memory used [KB]: 1407
% 0.22/0.48 % (4702)Time elapsed: 0.006 s
% 0.22/0.48 % (4702)Instructions burned: 7 (million)
% 0.22/0.48 % (4702)------------------------------
% 0.22/0.48 % (4702)------------------------------
% 0.22/0.48 % (4703)Instruction limit reached!
% 0.22/0.48 % (4703)------------------------------
% 0.22/0.48 % (4703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (4703)Termination reason: Unknown
% 0.22/0.48 % (4703)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (4703)Memory used [KB]: 1279
% 0.22/0.48 % (4703)Time elapsed: 0.004 s
% 0.22/0.48 % (4703)Instructions burned: 4 (million)
% 0.22/0.48 % (4703)------------------------------
% 0.22/0.48 % (4703)------------------------------
% 0.22/0.48 % (4704)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.48 % (4705)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)
% 0.22/0.48 % (4704)Instruction limit reached!
% 0.22/0.48 % (4704)------------------------------
% 0.22/0.48 % (4704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (4704)Termination reason: Unknown
% 0.22/0.48 % (4704)Termination phase: shuffling
% 0.22/0.48 % (4706)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.48
% 0.22/0.48 % (4704)Memory used [KB]: 1407
% 0.22/0.48 % (4704)Time elapsed: 0.004 s
% 0.22/0.48 % (4704)Instructions burned: 5 (million)
% 0.22/0.48 % (4704)------------------------------
% 0.22/0.48 % (4704)------------------------------
% 0.22/0.49 % (4707)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.49 % (4707)Instruction limit reached!
% 0.22/0.49 % (4707)------------------------------
% 0.22/0.49 % (4707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (4707)Termination reason: Unknown
% 0.22/0.49 % (4707)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (4707)Memory used [KB]: 1407
% 0.22/0.49 % (4707)Time elapsed: 0.006 s
% 0.22/0.49 % (4707)Instructions burned: 7 (million)
% 0.22/0.49 % (4707)------------------------------
% 0.22/0.49 % (4707)------------------------------
% 0.22/0.49 % (4705)Instruction limit reached!
% 0.22/0.49 % (4705)------------------------------
% 0.22/0.49 % (4705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (4705)Termination reason: Unknown
% 0.22/0.49 % (4705)Termination phase: Property scanning
% 0.22/0.49
% 0.22/0.49 % (4705)Memory used [KB]: 1535
% 0.22/0.49 % (4705)Time elapsed: 0.012 s
% 0.22/0.49 % (4705)Instructions burned: 18 (million)
% 0.22/0.49 % (4705)------------------------------
% 0.22/0.49 % (4705)------------------------------
% 0.22/0.49 % (4708)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)
% 0.22/0.49 % (4709)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)
% 0.22/0.50 % (4710)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.22/0.50 % (4710)Instruction limit reached!
% 0.22/0.50 % (4710)------------------------------
% 0.22/0.50 % (4710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (4710)Termination reason: Unknown
% 0.22/0.50 % (4710)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (4710)Memory used [KB]: 1407
% 0.22/0.50 % (4710)Time elapsed: 0.005 s
% 0.22/0.50 % (4710)Instructions burned: 5 (million)
% 0.22/0.50 % (4710)------------------------------
% 0.22/0.50 % (4710)------------------------------
% 0.22/0.50 % (4706)First to succeed.
% 0.22/0.50 % (4711)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 (2998ds/6Mi)
% 0.22/0.51 % (4712)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.51 % (4706)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% 0.22/0.51 thf(type_def_6, type, hF_Mirabelle_hf: $tType).
% 0.22/0.51 thf(type_def_7, type, set: ($tType) > $tType).
% 0.22/0.51 thf(type_def_8, type, nat: $tType).
% 0.22/0.51 thf(func_def_0, type, hF_Mirabelle_hf: $tType).
% 0.22/0.51 thf(func_def_1, type, set: ($tType) > $tType).
% 0.22/0.51 thf(func_def_2, type, nat: $tType).
% 0.22/0.51 thf(func_def_3, type, bounded_lattice: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_4, type, type: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_5, type, zero: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_6, type, top: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_7, type, group_add: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_8, type, lattice: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_9, type, monoid_add: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_10, type, semigroup_add: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_11, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_12, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_13, type, distrib_lattice: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_14, type, semilattice_inf: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_15, type, semilattice_sup: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_16, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_17, type, bounded_lattice_top: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_18, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_19, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_20, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_21, type, bounde1561333602nf_top: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_22, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.22/0.51 thf(func_def_23, type, plus_plus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.22/0.51 thf(func_def_24, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.22/0.51 thf(func_def_25, type, hF_Mir1687042746ollect: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_26, type, hF_Mirabelle_HF: set @ hF_Mirabelle_hf > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_27, type, hF_Mirabelle_HInter: hF_Mirabelle_hf > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_28, type, hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_29, type, hF_Mir569462966eplace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_30, type, hF_Mirabelle_RepFun: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_31, type, hF_Mirabelle_Replace: hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_32, type, hF_Mirabelle_hcard: hF_Mirabelle_hf > nat).
% 0.22/0.51 thf(func_def_33, type, hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_34, type, hF_Mirabelle_Rep_hf: hF_Mirabelle_hf > nat).
% 0.22/0.51 thf(func_def_35, type, hF_Mirabelle_hfset: hF_Mirabelle_hf > set @ hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_36, type, hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_37, type, hF_Mir859708136nction: hF_Mirabelle_hf > $o).
% 0.22/0.51 thf(func_def_38, type, hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_39, type, hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o).
% 0.22/0.51 thf(func_def_40, type, hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_41, type, hF_Mir1093797708lation: hF_Mirabelle_hf > $o).
% 0.22/0.51 thf(func_def_42, type, hF_Mir165288108strict: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_43, type, hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_44, type, hF_Mirabelle_hsplit: !>[X0: $tType]:((hF_Mirabelle_hf > hF_Mirabelle_hf > X0) > hF_Mirabelle_hf > X0)).
% 0.22/0.51 thf(func_def_45, type, hF_Mir796903520_hpair: hF_Mirabelle_hf > $o).
% 0.22/0.51 thf(func_def_46, type, inf_inf: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.22/0.51 thf(func_def_47, type, sup_sup: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.22/0.51 thf(func_def_48, type, suc: nat > nat).
% 0.22/0.51 thf(func_def_49, type, top_top: !>[X0: $tType]:(X0)).
% 0.22/0.51 thf(func_def_50, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.22/0.51 thf(func_def_51, type, insert: !>[X0: $tType]:(X0 > set @ X0 > set @ X0)).
% 0.22/0.51 thf(func_def_52, type, type_definition: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X1 > X0) > set @ X1 > $o)).
% 0.22/0.51 thf(func_def_53, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.22/0.51 thf(func_def_54, type, r: hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_55, type, x: hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_69, type, sK0: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.22/0.51 thf(func_def_70, type, sK1: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_71, type, sK2: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_73, type, sK4: hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_74, type, sK5: hF_Mirabelle_hf).
% 0.22/0.51 thf(func_def_75, type, sK6: hF_Mirabelle_hf).
% 0.22/0.51 thf(f841,plain,(
% 0.22/0.51 $false),
% 0.22/0.51 inference(subsumption_resolution,[],[f840,f797])).
% 0.22/0.51 thf(f797,plain,(
% 0.22/0.51 (sK4 != sK6)),
% 0.22/0.51 inference(equality_proxy_clausification,[],[f795])).
% 0.22/0.51 thf(f795,plain,(
% 0.22/0.51 ((sK4 = sK6) = $false)),
% 0.22/0.51 inference(binary_proxy_clausification,[],[f794])).
% 0.22/0.51 thf(f794,plain,(
% 0.22/0.51 ($false = ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ sK6) @ (hF_Mir165288108strict @ r @ x)) => (sK4 = sK6)))),
% 0.22/0.51 inference(beta_eta_normalization,[],[f793])).
% 0.22/0.51 thf(f793,plain,(
% 0.22/0.51 (((^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ Y0) @ (hF_Mir165288108strict @ r @ x)) => (sK4 = Y0))) @ sK6) = $false)),
% 0.22/0.51 inference(sigma_clausification,[],[f791])).
% 0.22/0.51 thf(f791,plain,(
% 0.22/0.51 ($false = (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ Y0) @ (hF_Mir165288108strict @ r @ x)) => (sK4 = Y0)))))),
% 0.22/0.51 inference(binary_proxy_clausification,[],[f790])).
% 0.22/0.51 thf(f790,plain,(
% 0.22/0.51 (((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ sK4) @ (hF_Mir165288108strict @ r @ x)) => (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ Y0) @ (hF_Mir165288108strict @ r @ x)) => (sK4 = Y0))))) = $false)),
% 0.22/0.51 inference(beta_eta_normalization,[],[f789])).
% 0.22/0.51 thf(f789,plain,(
% 0.22/0.51 (((^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y0 @ sK4) @ (hF_Mir165288108strict @ r @ x)) => (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y0 @ Y1) @ (hF_Mir165288108strict @ r @ x)) => (sK4 = Y1)))))) @ sK5) = $false)),
% 0.22/0.51 inference(sigma_clausification,[],[f788])).
% 0.22/0.51 thf(f788,plain,(
% 0.22/0.51 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y0 @ sK4) @ (hF_Mir165288108strict @ r @ x)) => (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y0 @ Y1) @ (hF_Mir165288108strict @ r @ x)) => (sK4 = Y1))))))) = $false)),
% 0.22/0.51 inference(beta_eta_normalization,[],[f787])).
% 0.22/0.51 thf(f787,plain,(
% 0.22/0.51 (((^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y1 @ Y0) @ (hF_Mir165288108strict @ r @ x)) => (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y1 @ Y2) @ (hF_Mir165288108strict @ r @ x)) => (Y0 = Y2)))))))) @ sK4) = $false)),
% 0.22/0.51 inference(sigma_clausification,[],[f786])).
% 0.22/0.51 thf(f786,plain,(
% 0.22/0.51 ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y1 @ Y0) @ (hF_Mir165288108strict @ r @ x)) => (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y1 @ Y2) @ (hF_Mir165288108strict @ r @ x)) => (Y0 = Y2))))))))) != $true)),
% 0.22/0.51 inference(beta_eta_normalization,[],[f784])).
% 0.22/0.51 thf(f784,plain,(
% 0.22/0.51 ($true != ((^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y1) @ Y0) => (!! @ hF_Mirabelle_hf @ (^[Y3 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y3) @ Y0) => (Y1 = Y3)))))))))) @ (hF_Mir165288108strict @ r @ x)))),
% 0.22/0.51 inference(definition_unfolding,[],[f782,f774])).
% 0.22/0.51 thf(f774,plain,(
% 0.22/0.51 (hF_Mir859708136nction = (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y1) @ Y0) => (!! @ hF_Mirabelle_hf @ (^[Y3 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y3) @ Y0) => (Y1 = Y3)))))))))))),
% 0.22/0.51 inference(cnf_transformation,[],[f605])).
% 0.22/0.51 thf(f605,plain,(
% 0.22/0.51 (hF_Mir859708136nction = (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y1) @ Y0) => (!! @ hF_Mirabelle_hf @ (^[Y3 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y3) @ Y0) => (Y1 = Y3)))))))))))),
% 0.22/0.51 inference(fool_elimination,[],[f604])).
% 0.22/0.51 thf(f604,plain,(
% 0.22/0.51 (hF_Mir859708136nction = (^[X0 : hF_Mirabelle_hf] : (! [X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X1 @ X2) @ X0) => ! [X3 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X1 @ X3) @ X0) => (X2 = X3))))))),
% 0.22/0.51 inference(rectify,[],[f2])).
% 0.22/0.51 thf(f2,axiom,(
% 0.22/0.51 (hF_Mir859708136nction = (^[X4 : hF_Mirabelle_hf] : (! [X5 : hF_Mirabelle_hf,X6 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X5 @ X6) @ X4) => ! [X7 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X5 @ X7) @ X4) => (X6 = X7))))))),
% 0.22/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_hfunction__def)).
% 0.22/0.51 thf(f782,plain,(
% 0.22/0.51 ((hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x)) != $true)),
% 0.22/0.51 inference(cnf_transformation,[],[f764])).
% 0.22/0.51 thf(f764,plain,(
% 0.22/0.51 ((hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x)) != $true)),
% 0.22/0.51 inference(flattening,[],[f463])).
% 0.22/0.51 thf(f463,plain,(
% 0.22/0.51 ~((hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x)) = $true)),
% 0.22/0.51 inference(fool_elimination,[],[f462])).
% 0.22/0.51 thf(f462,plain,(
% 0.22/0.51 ~(hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x))),
% 0.22/0.51 inference(rectify,[],[f300])).
% 0.22/0.51 thf(f300,negated_conjecture,(
% 0.22/0.51 ~(hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x))),
% 0.22/0.51 inference(negated_conjecture,[],[f299])).
% 0.22/0.51 thf(f299,conjecture,(
% 0.22/0.51 (hF_Mir859708136nction @ (hF_Mir165288108strict @ r @ x))),
% 0.22/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.22/0.51 thf(f840,plain,(
% 0.22/0.51 (sK4 = sK6)),
% 0.22/0.51 inference(trivial_inequality_removal,[],[f838])).
% 0.22/0.51 thf(f838,plain,(
% 0.22/0.51 (sK4 = sK6) | ($true = $false)),
% 0.22/0.51 inference(superposition,[],[f814,f825])).
% 0.22/0.51 thf(f825,plain,(
% 0.22/0.51 ( ! [X0 : hF_Mirabelle_hf] : (($false = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ X0) @ r)) | (sK4 = X0)) )),
% 0.22/0.51 inference(trivial_inequality_removal,[],[f818])).
% 0.22/0.51 thf(f818,plain,(
% 0.22/0.51 ( ! [X0 : hF_Mirabelle_hf] : (($false = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ X0) @ r)) | (sK4 = X0) | ($true = $false)) )),
% 0.22/0.51 inference(superposition,[],[f809,f807])).
% 0.22/0.51 thf(f807,plain,(
% 0.22/0.51 ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : ((X1 = X3) | ($false = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ X1) @ r)) | ($false = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ X3) @ r))) )),
% 0.22/0.51 inference(equality_proxy_clausification,[],[f806])).
% 0.22/0.51 thf(f806,plain,(
% 0.22/0.51 ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ X1) @ r)) | ((X1 = X3) = $true) | ($false = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ X3) @ r))) )),
% 0.22/0.51 inference(binary_proxy_clausification,[],[f805])).
% 0.22/0.51 thf(f805,plain,(
% 0.22/0.51 ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ X1) @ r)) | ($true = ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ X3) @ r) => (X1 = X3)))) )),
% 0.22/0.51 inference(beta_eta_normalization,[],[f804])).
% 0.22/0.51 thf(f804,plain,(
% 0.22/0.51 ( ! [X2 : hF_Mirabelle_hf,X3 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : ((((^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ Y0) @ r) => (X1 = Y0))) @ X3) = $true) | ($false = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ X1) @ r))) )),
% 0.22/0.51 inference(pi_clausification,[],[f803])).
% 0.22/0.51 thf(f803,plain,(
% 0.22/0.51 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($false = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ X1) @ r)) | ((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ Y0) @ r) => (X1 = Y0)))) = $true)) )),
% 0.22/0.51 inference(binary_proxy_clausification,[],[f802])).
% 0.22/0.51 thf(f802,plain,(
% 0.22/0.51 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : ((((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ X1) @ r) => (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ X2 @ Y0) @ r) => (X1 = Y0))))) = $true)) )),
% 0.22/0.51 inference(beta_eta_normalization,[],[f801])).
% 0.22/0.51 thf(f801,plain,(
% 0.22/0.51 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($true = ((^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y0 @ X1) @ r) => (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y0 @ Y1) @ r) => (X1 = Y1)))))) @ X2))) )),
% 0.22/0.51 inference(pi_clausification,[],[f800])).
% 0.22/0.51 thf(f800,plain,(
% 0.22/0.51 ( ! [X1 : hF_Mirabelle_hf] : (((!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y0 @ X1) @ r) => (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y0 @ Y1) @ r) => (X1 = Y1))))))) = $true)) )),
% 0.22/0.51 inference(beta_eta_normalization,[],[f799])).
% 0.22/0.51 thf(f799,plain,(
% 0.22/0.51 ( ! [X1 : hF_Mirabelle_hf] : ((((^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y1 @ Y0) @ r) => (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y1 @ Y2) @ r) => (Y0 = Y2)))))))) @ X1) = $true)) )),
% 0.22/0.51 inference(pi_clausification,[],[f798])).
% 0.22/0.51 thf(f798,plain,(
% 0.22/0.51 ($true = (!! @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y1 @ Y0) @ r) => (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y1 @ Y2) @ r) => (Y0 = Y2))))))))))),
% 0.22/0.51 inference(beta_eta_normalization,[],[f783])).
% 0.22/0.51 thf(f783,plain,(
% 0.22/0.51 ($true = ((^[Y0 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y1 : hF_Mirabelle_hf]: (!! @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y1) @ Y0) => (!! @ hF_Mirabelle_hf @ (^[Y3 : hF_Mirabelle_hf]: ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ Y2 @ Y3) @ Y0) => (Y1 = Y3)))))))))) @ r))),
% 0.22/0.51 inference(definition_unfolding,[],[f781,f774])).
% 0.22/0.51 thf(f781,plain,(
% 0.22/0.51 ((hF_Mir859708136nction @ r) = $true)),
% 0.22/0.51 inference(cnf_transformation,[],[f507])).
% 0.22/0.51 thf(f507,plain,(
% 0.22/0.51 ((hF_Mir859708136nction @ r) = $true)),
% 0.22/0.51 inference(fool_elimination,[],[f506])).
% 0.22/0.51 thf(f506,plain,(
% 0.22/0.51 (hF_Mir859708136nction @ r)),
% 0.22/0.51 inference(rectify,[],[f298])).
% 0.22/0.51 thf(f298,axiom,(
% 0.22/0.51 (hF_Mir859708136nction @ r)),
% 0.22/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.22/0.51 thf(f809,plain,(
% 0.22/0.51 ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ sK4) @ r) = $true)),
% 0.22/0.51 inference(trivial_inequality_removal,[],[f808])).
% 0.22/0.51 thf(f808,plain,(
% 0.22/0.51 ((hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ sK4) @ r) = $true) | ($true != $true)),
% 0.22/0.51 inference(superposition,[],[f780,f792])).
% 0.22/0.51 thf(f792,plain,(
% 0.22/0.51 ($true = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ sK4) @ (hF_Mir165288108strict @ r @ x)))),
% 0.22/0.51 inference(binary_proxy_clausification,[],[f790])).
% 0.22/0.51 thf(f780,plain,(
% 0.22/0.51 ( ! [X2 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($true != (hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2))) | ((hF_Mirabelle_hmem @ X0 @ X1) = $true)) )),
% 0.22/0.51 inference(cnf_transformation,[],[f773])).
% 0.22/0.51 thf(f773,plain,(
% 0.22/0.51 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((((hF_Mirabelle_hmem @ X0 @ X1) = $true) & (((hF_Mirabelle_hpair @ (sK1 @ X2 @ X0) @ (sK2 @ X2 @ X0)) = X0) & ($true = (hF_Mirabelle_hmem @ (sK1 @ X2 @ X0) @ X2)))) | ($true != (hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2)))) & (($true = (hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2))) | ((hF_Mirabelle_hmem @ X0 @ X1) != $true) | ! [X5 : hF_Mirabelle_hf,X6 : hF_Mirabelle_hf] : (((hF_Mirabelle_hpair @ X5 @ X6) != X0) | ($true != (hF_Mirabelle_hmem @ X5 @ X2)))))),
% 0.22/0.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f771,f772])).
% 0.22/0.51 thf(f772,plain,(
% 0.22/0.51 ! [X0 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (? [X3 : hF_Mirabelle_hf,X4 : hF_Mirabelle_hf] : (((hF_Mirabelle_hpair @ X3 @ X4) = X0) & ($true = (hF_Mirabelle_hmem @ X3 @ X2))) => (((hF_Mirabelle_hpair @ (sK1 @ X2 @ X0) @ (sK2 @ X2 @ X0)) = X0) & ($true = (hF_Mirabelle_hmem @ (sK1 @ X2 @ X0) @ X2))))),
% 0.22/0.51 introduced(choice_axiom,[])).
% 0.22/0.51 thf(f771,plain,(
% 0.22/0.51 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((((hF_Mirabelle_hmem @ X0 @ X1) = $true) & ? [X3 : hF_Mirabelle_hf,X4 : hF_Mirabelle_hf] : (((hF_Mirabelle_hpair @ X3 @ X4) = X0) & ($true = (hF_Mirabelle_hmem @ X3 @ X2)))) | ($true != (hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2)))) & (($true = (hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2))) | ((hF_Mirabelle_hmem @ X0 @ X1) != $true) | ! [X5 : hF_Mirabelle_hf,X6 : hF_Mirabelle_hf] : (((hF_Mirabelle_hpair @ X5 @ X6) != X0) | ($true != (hF_Mirabelle_hmem @ X5 @ X2)))))),
% 0.22/0.51 inference(rectify,[],[f770])).
% 0.22/0.51 thf(f770,plain,(
% 0.22/0.51 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((((hF_Mirabelle_hmem @ X0 @ X1) = $true) & ? [X3 : hF_Mirabelle_hf,X4 : hF_Mirabelle_hf] : (((hF_Mirabelle_hpair @ X3 @ X4) = X0) & ($true = (hF_Mirabelle_hmem @ X3 @ X2)))) | ($true != (hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2)))) & (($true = (hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2))) | ((hF_Mirabelle_hmem @ X0 @ X1) != $true) | ! [X3 : hF_Mirabelle_hf,X4 : hF_Mirabelle_hf] : (((hF_Mirabelle_hpair @ X3 @ X4) != X0) | ($true != (hF_Mirabelle_hmem @ X3 @ X2)))))),
% 0.22/0.51 inference(flattening,[],[f769])).
% 0.22/0.51 thf(f769,plain,(
% 0.22/0.51 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((((hF_Mirabelle_hmem @ X0 @ X1) = $true) & ? [X3 : hF_Mirabelle_hf,X4 : hF_Mirabelle_hf] : (((hF_Mirabelle_hpair @ X3 @ X4) = X0) & ($true = (hF_Mirabelle_hmem @ X3 @ X2)))) | ($true != (hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2)))) & (($true = (hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2))) | (((hF_Mirabelle_hmem @ X0 @ X1) != $true) | ! [X3 : hF_Mirabelle_hf,X4 : hF_Mirabelle_hf] : (((hF_Mirabelle_hpair @ X3 @ X4) != X0) | ($true != (hF_Mirabelle_hmem @ X3 @ X2))))))),
% 0.22/0.51 inference(nnf_transformation,[],[f521])).
% 0.22/0.51 thf(f521,plain,(
% 0.22/0.51 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : ((((hF_Mirabelle_hmem @ X0 @ X1) = $true) & ? [X3 : hF_Mirabelle_hf,X4 : hF_Mirabelle_hf] : (((hF_Mirabelle_hpair @ X3 @ X4) = X0) & ($true = (hF_Mirabelle_hmem @ X3 @ X2)))) <=> ($true = (hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2))))),
% 0.22/0.51 inference(fool_elimination,[],[f520])).
% 0.22/0.51 thf(f520,plain,(
% 0.22/0.51 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X0 @ (hF_Mir165288108strict @ X1 @ X2)) = ? [X3 : hF_Mirabelle_hf,X4 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X3 @ X2) & ((hF_Mirabelle_hpair @ X3 @ X4) = X0)) & (hF_Mirabelle_hmem @ X0 @ X1))),
% 0.22/0.51 inference(rectify,[],[f3])).
% 0.22/0.51 thf(f3,axiom,(
% 0.22/0.51 ! [X8 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf,X9 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X8 @ (hF_Mir165288108strict @ X2 @ X9)) = ? [X5 : hF_Mirabelle_hf,X6 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X5 @ X9) & ((hF_Mirabelle_hpair @ X5 @ X6) = X8)) & (hF_Mirabelle_hmem @ X8 @ X2))),
% 0.22/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_hrestrict__iff)).
% 0.22/0.51 thf(f814,plain,(
% 0.22/0.51 ($true = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ sK6) @ r))),
% 0.22/0.51 inference(trivial_inequality_removal,[],[f813])).
% 0.22/0.51 thf(f813,plain,(
% 0.22/0.51 ($true = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ sK6) @ r)) | ($true != $true)),
% 0.22/0.51 inference(superposition,[],[f780,f796])).
% 0.22/0.51 thf(f796,plain,(
% 0.22/0.51 ($true = (hF_Mirabelle_hmem @ (hF_Mirabelle_hpair @ sK5 @ sK6) @ (hF_Mir165288108strict @ r @ x)))),
% 0.22/0.51 inference(binary_proxy_clausification,[],[f794])).
% 0.22/0.51 % SZS output end Proof for theBenchmark
% 0.22/0.51 % (4706)------------------------------
% 0.22/0.51 % (4706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (4706)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (4706)Memory used [KB]: 6268
% 0.22/0.51 % (4706)Time elapsed: 0.048 s
% 0.22/0.51 % (4706)Instructions burned: 34 (million)
% 0.22/0.51 % (4706)------------------------------
% 0.22/0.51 % (4706)------------------------------
% 0.22/0.51 % (4678)Success in time 0.143 s
% 0.22/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------