%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP072^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:13 AM UTC 2026
% Result : Theorem 0.56s 0.41s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP072^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:52:05 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.40 % (822751)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.56/0.40 % (822761)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=273292197:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.56/0.40 % (822762)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.56/0.40 % (822762)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.56/0.40 % (822757)lrs+10_16_si=on:nwc=1.5:random_seed=4023308682:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.56/0.40 % (822756)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1597928194:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.56/0.40 % (822758)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3414157873:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.56/0.40 % (822760)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3973755438:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.56/0.40 % (822759)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2587661821:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.56/0.40 % (822762)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1278918596:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.56/0.40 % (822758)Instruction limit reached!
% 0.56/0.40 % (822758)------------------------------
% 0.56/0.40 % (822758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (822758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (822758)CaDiCaL version: 2.1.3
% 0.56/0.40 % (822758)Termination reason: Instruction limit
% 0.56/0.40 % (822758)Termination phase: shuffling
% 0.56/0.40 % (822758)Time elapsed: 0.002 s
% 0.56/0.40 % (822758)Peak memory usage: 10 MB
% 0.56/0.40 % (822758)Instructions burned: 4 (million)
% 0.56/0.40 % (822757)Instruction limit reached!
% 0.56/0.40 % (822757)------------------------------
% 0.56/0.40 % (822757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (822757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (822757)CaDiCaL version: 2.1.3
% 0.56/0.40 % (822757)Termination reason: Instruction limit
% 0.56/0.40 % (822757)Termination phase: shuffling
% 0.56/0.40 % (822757)Time elapsed: 0.009 s
% 0.56/0.40 % (822757)Peak memory usage: 10 MB
% 0.56/0.40 % (822757)Instructions burned: 19 (million)
% 0.56/0.40 % (822761)Instruction limit reached!
% 0.56/0.40 % (822761)------------------------------
% 0.56/0.40 % (822761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (822761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (822761)CaDiCaL version: 2.1.3
% 0.56/0.40 % (822761)Termination reason: Instruction limit
% 0.56/0.40 % (822761)Termination phase: Property scanning
% 0.56/0.40 % (822761)Time elapsed: 0.020 s
% 0.56/0.40 % (822761)Peak memory usage: 12 MB
% 0.56/0.40 % (822761)Instructions burned: 79 (million)
% 0.56/0.40 % (822760)Instruction limit reached!
% 0.56/0.40 % (822760)------------------------------
% 0.56/0.40 % (822760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (822760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (822760)CaDiCaL version: 2.1.3
% 0.56/0.40 % (822760)Termination reason: Instruction limit
% 0.56/0.40 % (822760)Termination phase: Property scanning
% 0.56/0.40 % (822760)Time elapsed: 0.013 s
% 0.56/0.40 % (822760)Peak memory usage: 11 MB
% 0.56/0.40 % (822760)Instructions burned: 28 (million)
% 0.56/0.40 % (822772)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.40 % (822770)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2702484746:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.40 % (822772)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3763951013:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.56/0.40 % (822770)Instruction limit reached!
% 0.56/0.40 % (822770)------------------------------
% 0.56/0.40 % (822770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (822770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (822770)CaDiCaL version: 2.1.3
% 0.56/0.40 % (822770)Termination reason: Instruction limit
% 0.56/0.40 % (822770)Termination phase: shuffling
% 0.56/0.40 % (822770)Time elapsed: 0.003 s
% 0.56/0.40 % (822770)Peak memory usage: 10 MB
% 0.56/0.40 % (822770)Instructions burned: 5 (million)
% 0.56/0.40 % (822772)Instruction limit reached!
% 0.56/0.40 % (822772)------------------------------
% 0.56/0.40 % (822772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (822772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (822772)CaDiCaL version: 2.1.3
% 0.56/0.40 % (822772)Termination reason: Instruction limit
% 0.56/0.41 % (822772)Termination phase: shuffling
% 0.56/0.41 % (822772)Time elapsed: 0.002 s
% 0.56/0.41 % (822772)Peak memory usage: 10 MB
% 0.56/0.41 % (822772)Instructions burned: 10 (million)
% 0.56/0.41 % (822771)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2041182478:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.56/0.41 % (822771)Instruction limit reached!
% 0.56/0.41 % (822771)------------------------------
% 0.56/0.41 % (822771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (822771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (822771)CaDiCaL version: 2.1.3
% 0.56/0.41 % (822771)Termination reason: Instruction limit
% 0.56/0.41 % (822771)Termination phase: shuffling
% 0.56/0.41 % (822771)Time elapsed: 0.003 s
% 0.56/0.41 % (822771)Peak memory usage: 10 MB
% 0.56/0.41 % (822771)Instructions burned: 6 (million)
% 0.56/0.41 % (822776)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.56/0.41 % (822776)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.41 % (822776)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3767771918:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.56/0.41 % (822773)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=820330053:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.56/0.41 % (822776)Instruction limit reached!
% 0.56/0.41 % (822776)------------------------------
% 0.56/0.41 % (822776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (822776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (822776)CaDiCaL version: 2.1.3
% 0.56/0.41 % (822776)Termination reason: Instruction limit
% 0.56/0.41 % (822776)Termination phase: shuffling
% 0.56/0.41 % (822776)Time elapsed: 0.007 s
% 0.56/0.41 % (822776)Peak memory usage: 11 MB
% 0.56/0.41 % (822776)Instructions burned: 30 (million)
% 0.56/0.41 % (822779)lrs+10_1_si=on:cs=on:random_seed=4268136618:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.56/0.41 % (822773)Instruction limit reached!
% 0.56/0.41 % (822773)------------------------------
% 0.56/0.41 % (822773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (822773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (822773)CaDiCaL version: 2.1.3
% 0.56/0.41 % (822773)Termination reason: Instruction limit
% 0.56/0.41 % (822773)Termination phase: shuffling
% 0.56/0.41 % (822773)Time elapsed: 0.010 s
% 0.56/0.41 % (822773)Peak memory usage: 10 MB
% 0.56/0.41 % (822773)Instructions burned: 13 (million)
% 0.56/0.41 % (822779)Instruction limit reached!
% 0.56/0.41 % (822779)------------------------------
% 0.56/0.41 % (822779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (822779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (822779)CaDiCaL version: 2.1.3
% 0.56/0.41 % (822779)Termination reason: Instruction limit
% 0.56/0.41 % (822779)Termination phase: shuffling
% 0.56/0.41 % (822779)Time elapsed: 0.005 s
% 0.56/0.41 % (822779)Peak memory usage: 10 MB
% 0.56/0.41 % (822779)Instructions burned: 10 (million)
% 0.56/0.41 % (822778)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3062755611:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.56/0.41 % (822782)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.56/0.41 % (822784)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2877642750:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.56/0.41 % (822756)Instruction limit reached!
% 0.56/0.41 % (822756)------------------------------
% 0.56/0.41 % (822756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (822756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (822756)CaDiCaL version: 2.1.3
% 0.56/0.41 % (822756)Termination reason: Instruction limit
% 0.56/0.41 % (822756)Termination phase: Function definition elimination
% 0.56/0.41 % (822756)Time elapsed: 0.063 s
% 0.56/0.41 % (822756)Peak memory usage: 12 MB
% 0.56/0.41 % (822756)Instructions burned: 87 (million)
% 0.56/0.41 % (822782)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2720199083:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.41 % (822782)Instruction limit reached!
% 0.56/0.41 % (822782)------------------------------
% 0.56/0.41 % (822782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (822782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (822782)CaDiCaL version: 2.1.3
% 0.56/0.41 % (822782)Termination reason: Instruction limit
% 0.56/0.41 % (822782)Termination phase: shuffling
% 0.56/0.41 % (822782)Time elapsed: 0.003 s
% 0.56/0.41 % (822782)Peak memory usage: 10 MB
% 0.56/0.41 % (822782)Instructions burned: 7 (million)
% 0.56/0.41 % (822784)Refutation not found, incomplete strategy
% 0.56/0.41 % (822784)------------------------------
% 0.56/0.41 % (822784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (822784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (822784)CaDiCaL version: 2.1.3
% 0.56/0.41 % (822784)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.41 % (822784)Time elapsed: 0.009 s
% 0.56/0.41 % (822784)Peak memory usage: 13 MB
% 0.56/0.41 % (822784)Instructions burned: 37 (million)
% 0.56/0.41 % (822762)Instruction limit reached!
% 0.56/0.41 % (822762)------------------------------
% 0.56/0.41 % (822762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (822762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (822762)CaDiCaL version: 2.1.3
% 0.56/0.41 % (822762)Termination reason: Instruction limit
% 0.56/0.41 % (822762)Termination phase: Saturation
% 0.56/0.41 % (822762)Time elapsed: 0.072 s
% 0.56/0.41 % (822762)Peak memory usage: 14 MB
% 0.56/0.41 % (822762)Instructions burned: 161 (million)
% 0.56/0.41 % (822784)------------------------------
% 0.56/0.41 % (822784)------------------------------
% 0.56/0.41 % (822785)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1091117465:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.56/0.41 % (822759) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-822751-822759"...
% 0.56/0.41 % (822788)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1091948399:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.56/0.41 % (822759)...printing done.
% 0.56/0.41 % (822759)Refutation found. Thanks to Tanya!
% 0.56/0.41 % SZS status Theorem for theBenchmark
% 0.56/0.41 % SZS output start Proof for theBenchmark
% 0.56/0.41 thf(type_def_5, type, set_se933006839lle_hf: $tType).
% 0.56/0.41 thf(type_def_6, type, set_HF_Mirabelle_hf: $tType).
% 0.56/0.41 thf(type_def_7, type, hF_Mirabelle_hf: $tType).
% 0.56/0.41 thf(type_def_8, type, set_nat: $tType).
% 0.56/0.41 thf(type_def_9, type, nat: $tType).
% 0.56/0.41 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.56/0.41 thf(func_def_0, type, finite1213132899lle_hf: (set_HF_Mirabelle_hf > nat)).
% 0.56/0.41 thf(func_def_1, type, finite_card_nat: (set_nat > nat)).
% 0.56/0.41 thf(func_def_2, type, finite90088345lle_hf: (set_se933006839lle_hf > nat)).
% 0.56/0.41 thf(func_def_3, type, finite586181922lle_hf: (set_HF_Mirabelle_hf > $o)).
% 0.56/0.41 thf(func_def_4, type, finite_finite_nat: (set_nat > $o)).
% 0.56/0.41 thf(func_def_5, type, finite1450550360lle_hf: (set_se933006839lle_hf > $o)).
% 0.56/0.41 thf(func_def_6, type, inj_on755450110lle_hf: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > $o)).
% 0.56/0.41 thf(func_def_7, type, inj_on1874279374hf_nat: ((hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > $o)).
% 0.56/0.41 thf(func_def_8, type, inj_on1988990670lle_hf: ((nat > hF_Mirabelle_hf) > set_nat > $o)).
% 0.56/0.41 thf(func_def_9, type, inj_on_nat_nat: ((nat > nat) > set_nat > $o)).
% 0.56/0.41 thf(func_def_10, type, inj_on811196232lle_hf: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > $o)).
% 0.56/0.41 thf(func_def_11, type, minus_minus_nat: (nat > nat > nat)).
% 0.56/0.41 thf(func_def_12, type, minus_1450406810lle_hf: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_13, type, minus_minus_set_nat: (set_nat > set_nat > set_nat)).
% 0.56/0.41 thf(func_def_14, type, minus_500612048lle_hf: (set_se933006839lle_hf > set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_15, type, zero_z189798548lle_hf: hF_Mirabelle_hf).
% 0.56/0.41 thf(func_def_16, type, zero_zero_nat: nat).
% 0.56/0.41 thf(func_def_17, type, hF_Mirabelle_HF: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_18, type, hF_Mirabelle_Abs_hf: (nat > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_19, type, hF_Mirabelle_hfset: (hF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_20, type, hF_Mirabelle_hinsert: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_21, type, hF_Mirabelle_hmem: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o)).
% 0.56/0.41 thf(func_def_22, type, lattic710307446hf_nat: ((hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_23, type, lattic1974000059at_nat: ((nat > nat) > set_nat > nat)).
% 0.56/0.41 thf(func_def_24, type, semiring_1_Nats_nat: set_nat).
% 0.56/0.41 thf(func_def_25, type, bot_bo1263054448e_hf_o: (hF_Mirabelle_hf > $o)).
% 0.56/0.41 thf(func_def_26, type, bot_bot_nat_o: (nat > $o)).
% 0.56/0.41 thf(func_def_27, type, bot_bo554042810e_hf_o: (set_HF_Mirabelle_hf > $o)).
% 0.56/0.41 thf(func_def_28, type, bot_bot_o: $o).
% 0.56/0.41 thf(func_def_29, type, bot_bot_nat: nat).
% 0.56/0.41 thf(func_def_30, type, bot_bo53200981lle_hf: set_HF_Mirabelle_hf).
% 0.56/0.41 thf(func_def_31, type, bot_bot_set_nat: set_nat).
% 0.56/0.41 thf(func_def_32, type, bot_bo2093393035lle_hf: set_se933006839lle_hf).
% 0.56/0.41 thf(func_def_33, type, ord_less_eq_nat: (nat > nat > $o)).
% 0.56/0.41 thf(func_def_34, type, ord_le432112161lle_hf: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o)).
% 0.56/0.41 thf(func_def_35, type, ord_less_eq_set_nat: (set_nat > set_nat > $o)).
% 0.56/0.41 thf(func_def_36, type, ord_le2016357975lle_hf: (set_se933006839lle_hf > set_se933006839lle_hf > $o)).
% 0.56/0.41 thf(func_def_37, type, semiri2115134414it_nat: (nat > nat > nat)).
% 0.56/0.41 thf(func_def_38, type, semiri2013084963it_nat: (nat > nat > nat)).
% 0.56/0.41 thf(func_def_39, type, collec2046588256lle_hf: ((hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_40, type, collect_nat: ((nat > $o) > set_nat)).
% 0.56/0.41 thf(func_def_41, type, collec1758573718lle_hf: ((set_HF_Mirabelle_hf > $o) > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_42, type, image_1743964010lle_hf: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_43, type, image_131453538hf_nat: ((hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > set_nat)).
% 0.56/0.41 thf(func_def_44, type, image_246164834lle_hf: ((nat > hF_Mirabelle_hf) > set_nat > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_45, type, image_nat_nat: ((nat > nat) > set_nat > set_nat)).
% 0.56/0.41 thf(func_def_46, type, image_899003828lle_hf: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_47, type, image_1514960916lle_hf: ((set_HF_Mirabelle_hf > set_HF_Mirabelle_hf) > set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_48, type, insert9649339lle_hf: (hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_49, type, insert_nat: (nat > set_nat > set_nat)).
% 0.56/0.41 thf(func_def_50, type, insert1636143089lle_hf: (set_HF_Mirabelle_hf > set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_51, type, is_emp566801209lle_hf: (set_HF_Mirabelle_hf > $o)).
% 0.56/0.41 thf(func_def_52, type, is_sin1448700567lle_hf: (set_HF_Mirabelle_hf > $o)).
% 0.56/0.41 thf(func_def_53, type, the_el1104322134lle_hf: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_54, type, member1367349282lle_hf: (hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o)).
% 0.56/0.41 thf(func_def_55, type, member_nat: (nat > set_nat > $o)).
% 0.56/0.41 thf(func_def_56, type, member1490636632lle_hf: (set_HF_Mirabelle_hf > set_se933006839lle_hf > $o)).
% 0.56/0.41 thf(func_def_57, type, z: hF_Mirabelle_hf).
% 0.56/0.41 thf(func_def_61, type, db1: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_62, type, db0: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_63, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.56/0.41 thf(func_def_64, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.56/0.41 thf(func_def_65, type, vAND: ($o > $o > $o)).
% 0.56/0.41 thf(func_def_66, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.56/0.41 thf(func_def_67, type, vIMP: ($o > $o > $o)).
% 0.56/0.41 thf(func_def_68, type, db2: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_69, type, vOR: ($o > $o > $o)).
% 0.56/0.41 thf(func_def_70, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.56/0.41 thf(func_def_71, type, db3: !>[X0: $tType]:(X0)).
% 0.56/0.41 thf(func_def_72, type, sP0: (nat > nat > nat > $o)).
% 0.56/0.41 thf(func_def_73, type, sP1: (nat > nat > nat > $o)).
% 0.56/0.41 thf(func_def_74, type, sK2: (set_HF_Mirabelle_hf > (set_nat > $o) > (hF_Mirabelle_hf > nat) > set_nat)).
% 0.56/0.41 thf(func_def_75, type, sK3: (set_HF_Mirabelle_hf > (set_nat > $o) > (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_76, type, sK4: (set_se933006839lle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_77, type, sK5: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_78, type, sK6: (set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_79, type, sK7: (set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_80, type, sK8: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_81, type, sK9: ((set_nat > $o) > nat)).
% 0.56/0.41 thf(func_def_82, type, sK10: ((set_nat > $o) > set_nat)).
% 0.56/0.41 thf(func_def_83, type, sK11: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_84, type, sK12: ((set_HF_Mirabelle_hf > $o) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_85, type, sK13: (set_nat > set_nat)).
% 0.56/0.41 thf(func_def_86, type, sK14: (set_nat > nat)).
% 0.56/0.41 thf(func_def_87, type, sK15: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_88, type, sK16: ((set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_89, type, sK17: (set_nat > nat > set_nat)).
% 0.56/0.41 thf(func_def_90, type, sK18: ((set_se933006839lle_hf > $o) > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_91, type, sK19: ((set_se933006839lle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_92, type, sK20: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_93, type, sK21: (set_nat > nat > set_nat)).
% 0.56/0.41 thf(func_def_94, type, sK22: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_95, type, sK23: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_96, type, sK24: ((set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_97, type, sK25: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_98, type, sK26: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_99, type, sK27: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_100, type, sK28: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_101, type, sK29: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_102, type, sK30: (set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_103, type, sK31: (set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_104, type, sK32: (hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_105, type, sK33: ((nat > nat) > (set_nat > $o) > set_nat > set_nat)).
% 0.56/0.41 thf(func_def_106, type, sK34: ((nat > nat) > (set_nat > $o) > set_nat > set_nat)).
% 0.56/0.41 thf(func_def_107, type, sK35: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_108, type, sK36: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_109, type, sK37: hF_Mirabelle_hf).
% 0.56/0.41 thf(func_def_110, type, sK38: (set_nat > set_HF_Mirabelle_hf > nat > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_111, type, sK39: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_112, type, sK40: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_113, type, sK41: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_114, type, sK42: (set_nat > nat)).
% 0.56/0.41 thf(func_def_115, type, sK43: ((nat > $o) > nat > nat)).
% 0.56/0.41 thf(func_def_116, type, sK44: ((nat > $o) > nat)).
% 0.56/0.41 thf(func_def_117, type, sK45: (nat > set_nat > nat)).
% 0.56/0.41 thf(func_def_118, type, sK46: ((set_nat > $o) > set_nat > set_nat)).
% 0.56/0.41 thf(func_def_119, type, sK47: ((set_nat > $o) > set_nat > nat)).
% 0.56/0.41 thf(func_def_120, type, sK48: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_121, type, sK49: (hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_122, type, sK50: (set_nat > nat)).
% 0.56/0.41 thf(func_def_123, type, sK51: (set_HF_Mirabelle_hf > nat > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_124, type, sK52: ((set_nat > $o) > nat)).
% 0.56/0.41 thf(func_def_125, type, sK53: ((set_nat > $o) > set_nat)).
% 0.56/0.41 thf(func_def_126, type, sK54: ((set_nat > $o) > nat)).
% 0.56/0.41 thf(func_def_127, type, sK55: (set_se933006839lle_hf > set_HF_Mirabelle_hf > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_128, type, sK56: (nat > set_nat > set_nat)).
% 0.56/0.41 thf(func_def_129, type, sK57: ((hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_130, type, sK58: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_131, type, sK59: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_132, type, sK60: (set_nat > set_nat > nat > nat > set_nat)).
% 0.56/0.41 thf(func_def_133, type, sK61: ((set_HF_Mirabelle_hf > $o) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_134, type, sK62: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_135, type, sK63: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_136, type, sK64: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_137, type, sK65: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_138, type, sK66: ((set_nat > $o) > set_nat > set_nat)).
% 0.56/0.41 thf(func_def_139, type, sK67: ((set_nat > $o) > set_nat > nat)).
% 0.56/0.41 thf(func_def_140, type, sK68: ((hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > (set_nat > $o) > set_nat)).
% 0.56/0.41 thf(func_def_141, type, sK69: ((hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > (set_nat > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_142, type, sK70: (nat > (nat > $o) > nat)).
% 0.56/0.41 thf(func_def_143, type, sK71: ((nat > $o) > nat)).
% 0.56/0.41 thf(func_def_144, type, sK72: ((set_se933006839lle_hf > $o) > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_145, type, sK73: ((set_se933006839lle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_146, type, sK74: ((set_se933006839lle_hf > $o) > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_147, type, sK75: ((nat > nat > $o) > nat)).
% 0.56/0.41 thf(func_def_148, type, sK76: ((nat > nat > $o) > nat)).
% 0.56/0.41 thf(func_def_149, type, sK77: ((nat > nat > $o) > nat)).
% 0.56/0.41 thf(func_def_150, type, sK78: ((nat > nat > $o) > nat)).
% 0.56/0.41 thf(func_def_151, type, sK79: ((nat > nat) > nat)).
% 0.56/0.41 thf(func_def_152, type, sK80: ((nat > nat) > nat)).
% 0.56/0.41 thf(func_def_153, type, sK81: (set_nat > (set_HF_Mirabelle_hf > $o) > (nat > hF_Mirabelle_hf) > set_nat)).
% 0.56/0.41 thf(func_def_154, type, sK82: (set_nat > (set_HF_Mirabelle_hf > $o) > (nat > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_155, type, sK83: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_156, type, sK84: ((set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_157, type, sK85: (set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_158, type, sK86: ((set_se933006839lle_hf > $o) > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_159, type, sK87: ((set_se933006839lle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_160, type, sK88: ((set_se933006839lle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_161, type, sK89: ((set_HF_Mirabelle_hf > $o) > (nat > hF_Mirabelle_hf) > set_nat > set_nat)).
% 0.56/0.41 thf(func_def_162, type, sK90: ((set_HF_Mirabelle_hf > $o) > (nat > hF_Mirabelle_hf) > set_nat > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_163, type, sK91: (set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_164, type, sK92: (set_se933006839lle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_165, type, sK93: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_166, type, sK94: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_167, type, sK95: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_168, type, sK96: (set_nat > set_nat > (nat > nat) > set_nat)).
% 0.56/0.41 thf(func_def_169, type, sK97: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_170, type, sK98: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_171, type, sK99: (set_nat > nat)).
% 0.56/0.41 thf(func_def_172, type, sK100: ((set_HF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_173, type, sK101: ((set_HF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_174, type, sK102: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_175, type, sK103: ((nat > nat) > nat)).
% 0.56/0.41 thf(func_def_176, type, sK104: ((nat > nat) > nat)).
% 0.56/0.41 thf(func_def_177, type, sK105: (set_HF_Mirabelle_hf > set_se933006839lle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_178, type, sK106: (set_nat > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat > $o) > nat)).
% 0.56/0.41 thf(func_def_179, type, sK107: (set_nat > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_180, type, sK108: (set_nat > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_181, type, sK109: (set_nat > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_182, type, sK110: (nat > set_nat > nat)).
% 0.56/0.41 thf(func_def_183, type, sK111: (set_nat > nat > set_nat)).
% 0.56/0.41 thf(func_def_184, type, sK112: (set_se933006839lle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_185, type, sK113: (set_nat > set_nat > nat > nat)).
% 0.56/0.41 thf(func_def_186, type, sK114: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_187, type, sK115: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_188, type, sK116: ((set_nat > $o) > (nat > nat) > nat)).
% 0.56/0.41 thf(func_def_189, type, sK117: ((set_nat > $o) > (nat > nat) > set_nat)).
% 0.56/0.41 thf(func_def_190, type, sK118: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_191, type, sK119: (set_HF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_192, type, sK120: (set_nat > nat)).
% 0.56/0.41 thf(func_def_193, type, sK121: (set_nat > set_nat)).
% 0.56/0.41 thf(func_def_194, type, sK122: (set_HF_Mirabelle_hf > nat > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_195, type, sK123: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_196, type, sK124: (set_nat > nat)).
% 0.56/0.41 thf(func_def_197, type, sK125: ((nat > nat) > nat)).
% 0.56/0.41 thf(func_def_198, type, sK126: ((nat > nat) > nat)).
% 0.56/0.41 thf(func_def_199, type, sK127: (set_nat > nat > set_nat)).
% 0.56/0.41 thf(func_def_200, type, sK128: (set_HF_Mirabelle_hf > set_se933006839lle_hf > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_201, type, sK129: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_202, type, sK130: ((set_nat > $o) > set_nat)).
% 0.56/0.41 thf(func_def_203, type, sK131: ((set_nat > $o) > set_nat)).
% 0.56/0.41 thf(func_def_204, type, sK132: ((set_nat > $o) > nat)).
% 0.56/0.41 thf(func_def_205, type, sK133: ((set_HF_Mirabelle_hf > $o) > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_206, type, sK134: (set_HF_Mirabelle_hf > set_nat > hF_Mirabelle_hf > nat)).
% 0.56/0.41 thf(func_def_207, type, sK135: (nat > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_208, type, sK136: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_209, type, sK137: ((set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_210, type, sK138: ((set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_211, type, sK139: ((set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_212, type, sK140: ((set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_se933006839lle_hf > (hF_Mirabelle_hf > set_HF_Mirabelle_hf) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_213, type, sK141: (set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_214, type, sK142: ((nat > $o) > nat)).
% 0.56/0.41 thf(func_def_215, type, sK143: ((hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_216, type, sK144: ((nat > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_nat > set_nat)).
% 0.56/0.41 thf(func_def_217, type, sK145: (set_nat > nat)).
% 0.56/0.41 thf(func_def_218, type, sK146: ((set_nat > $o) > set_nat)).
% 0.56/0.41 thf(func_def_219, type, sK147: ((set_nat > $o) > nat)).
% 0.56/0.41 thf(func_def_220, type, sK148: ((hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > set_nat > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_221, type, sK149: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_222, type, sK150: (set_se933006839lle_hf > (set_HF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_223, type, sK151: ((set_se933006839lle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_224, type, sK152: ((set_se933006839lle_hf > $o) > set_se933006839lle_hf)).
% 0.56/0.41 thf(func_def_225, type, sK153: ((nat > $o) > nat)).
% 0.56/0.41 thf(func_def_226, type, sK154: ((nat > nat) > nat)).
% 0.56/0.41 thf(func_def_227, type, sK155: ((nat > nat) > nat)).
% 0.56/0.41 thf(func_def_228, type, sK156: (set_HF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_229, type, sK157: (set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_230, type, sK158: (set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf)).
% 0.56/0.41 thf(func_def_231, type, sK159: ((nat > nat) > set_nat > (set_nat > $o) > set_nat)).
% 0.56/0.41 thf(func_def_232, type, sK160: ((nat > nat) > set_nat > (set_nat > $o) > set_nat)).
% 0.56/0.41 thf(func_def_233, type, vNOT: ($o > $o)).
% 0.56/0.41 thf(f2,axiom,(
% 0.56/0.41 ! [X0 : hF_Mirabelle_hf] : ~(hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf)),
% 0.56/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_hemptyE)).
% 0.56/0.41 thf(f4,axiom,(
% 0.56/0.41 ! [X0 : hF_Mirabelle_hf] : ((X0 != zero_z189798548lle_hf) => ~ ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : ((X0 = ((hF_Mirabelle_hinsert @ X1 @ X2))) => (hF_Mirabelle_hmem @ X1 @ X2)))),
% 0.56/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_hf__cases)).
% 0.56/0.41 thf(f5,axiom,(
% 0.56/0.41 ! [X2 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ (hF_Mirabelle_hinsert @ X1 @ X2))) = (X0 = X1) | (hF_Mirabelle_hmem @ X0 @ X2))),
% 0.56/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_hmem__hinsert)).
% 0.56/0.41 thf(f352,conjecture,(
% 0.56/0.41 (! [X0 : hF_Mirabelle_hf] : ~(hF_Mirabelle_hmem @ X0 @ z) = (z = zero_z189798548lle_hf))),
% 0.56/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.56/0.41 thf(f353,negated_conjecture,(
% 0.56/0.41 ~ (! [X0 : hF_Mirabelle_hf] : ~(hF_Mirabelle_hmem @ X0 @ z) = (z = zero_z189798548lle_hf))),
% 0.56/0.41 inference(negated_conjecture,[status(cth)],[f352])).
% 0.56/0.41 thf(f384,plain,(
% 0.56/0.41 ! [X0 : hF_Mirabelle_hf] : ~(hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf)),
% 0.56/0.41 inference(rectify,[],[f2])).
% 0.56/0.41 thf(f385,plain,(
% 0.56/0.41 ! [X0 : hF_Mirabelle_hf] : ~ (((hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf)) = $true)),
% 0.56/0.41 inference(fool_elimination,[],[f384])).
% 0.56/0.41 thf(f479,plain,(
% 0.56/0.41 ! [X0 : hF_Mirabelle_hf] : ((X0 != zero_z189798548lle_hf) => ~ ! [X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : ((((hF_Mirabelle_hinsert @ X2 @ X1)) = X0) => (hF_Mirabelle_hmem @ X2 @ X1)))),
% 0.56/0.41 inference(rectify,[],[f4])).
% 0.56/0.41 thf(f480,plain,(
% 0.56/0.41 ! [X0 : hF_Mirabelle_hf] : ((zero_z189798548lle_hf != X0) => ~ ! [X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : ((((hF_Mirabelle_hinsert @ X2 @ X1)) = X0) => ($true = ((hF_Mirabelle_hmem @ X2 @ X1)))))),
% 0.56/0.41 inference(fool_elimination,[],[f479])).
% 0.56/0.41 thf(f560,plain,(
% 0.56/0.41 ~ (! [X0 : hF_Mirabelle_hf] : ~(hF_Mirabelle_hmem @ X0 @ z) = (z = zero_z189798548lle_hf))),
% 0.56/0.41 inference(rectify,[],[f353])).
% 0.56/0.41 thf(f561,plain,(
% 0.56/0.41 ~(! [X0 : hF_Mirabelle_hf] : ~ (((hF_Mirabelle_hmem @ X0 @ z)) = $true) <=> (zero_z189798548lle_hf = z))),
% 0.56/0.41 inference(fool_elimination,[],[f560])).
% 0.56/0.41 thf(f737,plain,(
% 0.56/0.41 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X1 @ (hF_Mirabelle_hinsert @ X2 @ X0))) = (X1 = X2) | (hF_Mirabelle_hmem @ X1 @ X0))),
% 0.56/0.41 inference(rectify,[],[f5])).
% 0.56/0.41 thf(f738,plain,(
% 0.56/0.41 ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf] : (($true = ((hF_Mirabelle_hmem @ X1 @ (hF_Mirabelle_hinsert @ X2 @ X0)))) <=> ((X1 = X2) | ($true = ((hF_Mirabelle_hmem @ X1 @ X0)))))),
% 0.56/0.41 inference(fool_elimination,[],[f737])).
% 0.56/0.41 thf(f948,plain,(
% 0.56/0.41 ! [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf)) != $true)),
% 0.56/0.41 inference(flattening,[],[f385])).
% 0.56/0.41 thf(f981,plain,(
% 0.56/0.41 ~((zero_z189798548lle_hf = z) <=> ! [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ z)) != $true))),
% 0.56/0.41 inference(flattening,[],[f561])).
% 0.56/0.41 thf(f1068,plain,(
% 0.56/0.41 (zero_z189798548lle_hf = z) <~> ! [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ z)) != $true)),
% 0.56/0.41 inference(ennf_transformation,[],[f981])).
% 0.56/0.41 thf(f1239,plain,(
% 0.56/0.41 ! [X0 : hF_Mirabelle_hf] : ((zero_z189798548lle_hf = X0) | ? [X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : (($true != ((hF_Mirabelle_hmem @ X2 @ X1))) & (((hF_Mirabelle_hinsert @ X2 @ X1)) = X0)))),
% 0.56/0.41 inference(ennf_transformation,[],[f480])).
% 0.56/0.41 thf(f1444,plain,(
% 0.56/0.41 (? [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ z)) = $true) | (zero_z189798548lle_hf != z)) & (! [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ z)) != $true) | (zero_z189798548lle_hf = z))),
% 0.56/0.41 inference(nnf_transformation,[],[f1068])).
% 0.56/0.41 thf(f1445,plain,(
% 0.56/0.41 (? [X0 : hF_Mirabelle_hf] : (((hF_Mirabelle_hmem @ X0 @ z)) = $true) | (zero_z189798548lle_hf != z)) & (! [X1 : hF_Mirabelle_hf] : ($true != ((hF_Mirabelle_hmem @ X1 @ z))) | (zero_z189798548lle_hf = z))),
% 0.56/0.41 inference(rectify,[],[f1444])).
% 0.56/0.41 thf(f1446,plain,(
% 0.56/0.41 (($true = ((hF_Mirabelle_hmem @ sK37 @ z))) | (zero_z189798548lle_hf != z)) & (! [X1 : hF_Mirabelle_hf] : ($true != ((hF_Mirabelle_hmem @ X1 @ z))) | (zero_z189798548lle_hf = z))),
% 0.56/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X0,sK37)],[f1445])).
% 0.56/0.41 thf(f1511,plain,(
% 0.56/0.41 ! [X0 : hF_Mirabelle_hf] : ((zero_z189798548lle_hf = X0) | (($true != ((hF_Mirabelle_hmem @ (sK59 @ X0) @ (sK58 @ X0)))) & (((hF_Mirabelle_hinsert @ (sK59 @ X0) @ (sK58 @ X0))) = X0)))),
% 0.56/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X5,sK3 @ X2 @ X1 @ X0),skolemize(X5,sK3 @ X2 @ X1 @ X0)],[f1239])).
% 0.56/0.41 thf(f1700,plain,(
% 0.56/0.41 ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf] : ((($true = ((hF_Mirabelle_hmem @ X1 @ (hF_Mirabelle_hinsert @ X2 @ X0)))) | ((X1 != X2) & ($true != ((hF_Mirabelle_hmem @ X1 @ X0))))) & (((X1 = X2) | ($true = ((hF_Mirabelle_hmem @ X1 @ X0)))) | ($true != ((hF_Mirabelle_hmem @ X1 @ (hF_Mirabelle_hinsert @ X2 @ X0))))))),
% 0.56/0.41 inference(nnf_transformation,[],[f738])).
% 0.56/0.41 thf(f1701,plain,(
% 0.56/0.41 ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf] : ((($true = ((hF_Mirabelle_hmem @ X1 @ (hF_Mirabelle_hinsert @ X2 @ X0)))) | ((X1 != X2) & ($true != ((hF_Mirabelle_hmem @ X1 @ X0))))) & ((X1 = X2) | ($true = ((hF_Mirabelle_hmem @ X1 @ X0))) | ($true != ((hF_Mirabelle_hmem @ X1 @ (hF_Mirabelle_hinsert @ X2 @ X0))))))),
% 0.56/0.41 inference(flattening,[],[f1700])).
% 0.56/0.41 thf(f1702,plain,(
% 0.56/0.41 ! [X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf,X2 : hF_Mirabelle_hf] : ((($true = ((hF_Mirabelle_hmem @ X1 @ (hF_Mirabelle_hinsert @ X0 @ X2)))) | ((X0 != X1) & (((hF_Mirabelle_hmem @ X1 @ X2)) != $true))) & ((X0 = X1) | (((hF_Mirabelle_hmem @ X1 @ X2)) = $true) | ($true != ((hF_Mirabelle_hmem @ X1 @ (hF_Mirabelle_hinsert @ X0 @ X2))))))),
% 0.56/0.41 inference(rectify,[],[f1701])).
% 0.56/0.41 thf(f1894,plain,(
% 0.56/0.41 ( ! [X1 : hF_Mirabelle_hf] : (($true != ((hF_Mirabelle_hmem @ X1 @ z))) | (zero_z189798548lle_hf = z)) )),
% 0.56/0.41 inference(cnf_transformation,[],[f1446])).
% 0.56/0.41 thf(f1895,plain,(
% 0.56/0.41 ($true = ((hF_Mirabelle_hmem @ sK37 @ z))) | (zero_z189798548lle_hf != z)),
% 0.56/0.41 inference(cnf_transformation,[],[f1446])).
% 0.56/0.41 thf(f1974,plain,(
% 0.56/0.41 ( ! [X0 : hF_Mirabelle_hf] : ((((hF_Mirabelle_hmem @ X0 @ zero_z189798548lle_hf)) != $true)) )),
% 0.56/0.41 inference(cnf_transformation,[],[f948])).
% 0.56/0.41 thf(f2004,plain,(
% 0.56/0.41 ( ! [X0 : hF_Mirabelle_hf] : ((((hF_Mirabelle_hinsert @ (sK59 @ X0) @ (sK58 @ X0))) = X0) | (zero_z189798548lle_hf = X0)) )),
% 0.56/0.41 inference(cnf_transformation,[],[f1511])).
% 0.56/0.41 thf(f2378,plain,(
% 0.56/0.41 ( ! [X2 : hF_Mirabelle_hf,X0 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($true = ((hF_Mirabelle_hmem @ X1 @ (hF_Mirabelle_hinsert @ X0 @ X2)))) | (X0 != X1)) )),
% 0.56/0.41 inference(cnf_transformation,[],[f1702])).
% 0.56/0.41 thf(f2525,plain,(
% 0.56/0.41 ( ! [X2 : hF_Mirabelle_hf,X1 : hF_Mirabelle_hf] : (($true = ((hF_Mirabelle_hmem @ X1 @ (hF_Mirabelle_hinsert @ X1 @ X2))))) )),
% 0.56/0.41 inference(equality_resolution,[],[f2378])).
% 0.56/0.41 thf(f2653,definition,(
% 0.56/0.41 spl161_11 <=> ($true = ((hF_Mirabelle_hmem @ sK37 @ z)))),
% 0.56/0.41 introduced(definition,[new_symbols(definition,[spl161_11])],[avatar_definition])).
% 0.56/0.41 thf(f2655,plain,(
% 0.56/0.41 ($true = ((hF_Mirabelle_hmem @ sK37 @ z))) | ~spl161_11),
% 0.56/0.41 inference(avatar_component_clause,[],[f2653])).
% 0.56/0.41 thf(f2657,definition,(
% 0.56/0.41 spl161_12 <=> (zero_z189798548lle_hf = z)),
% 0.56/0.41 introduced(definition,[new_symbols(definition,[spl161_12])],[avatar_definition])).
% 0.56/0.41 thf(f2658,plain,(
% 0.56/0.41 (zero_z189798548lle_hf = z) | ~spl161_12),
% 0.56/0.41 inference(avatar_component_clause,[],[f2657])).
% 0.56/0.41 thf(f2660,plain,(
% 0.56/0.41 spl161_11 | ~spl161_12),
% 0.56/0.41 inference(avatar_split_clause,[],[f1895,f2657,f2653])).
% 0.56/0.41 thf(f2743,definition,(
% 0.56/0.41 spl161_29 <=> ! [X1 : hF_Mirabelle_hf] : ($true != ((hF_Mirabelle_hmem @ X1 @ z)))),
% 0.56/0.41 introduced(definition,[new_symbols(definition,[spl161_29])],[avatar_definition])).
% 0.56/0.41 thf(f2744,plain,(
% 0.56/0.41 ( ! [X1 : hF_Mirabelle_hf] : (($true != ((hF_Mirabelle_hmem @ X1 @ z)))) ) | ~spl161_29),
% 0.56/0.41 inference(avatar_component_clause,[],[f2743])).
% 0.56/0.41 thf(f2745,plain,(
% 0.56/0.41 spl161_12 | spl161_29),
% 0.56/0.41 inference(avatar_split_clause,[],[f1894,f2743,f2657])).
% 0.56/0.41 thf(f2772,plain,(
% 0.56/0.41 ( ! [X0 : hF_Mirabelle_hf] : ((((hF_Mirabelle_hmem @ (sK59 @ X0) @ X0)) = $true) | (zero_z189798548lle_hf = X0)) )),
% 0.56/0.41 inference(superposition,[],[f2525,f2004])).
% 0.56/0.41 thf(f2789,plain,(
% 0.56/0.41 (zero_z189798548lle_hf = z) | ($true != $true) | ~spl161_29),
% 0.56/0.41 inference(superposition,[],[f2744,f2772])).
% 0.56/0.41 thf(f2790,plain,(
% 0.56/0.41 (zero_z189798548lle_hf = z) | ~spl161_29),
% 0.56/0.41 inference(trivial_inequality_removal,[],[f2789])).
% 0.56/0.41 thf(f2796,plain,(
% 0.56/0.41 spl161_12 | ~spl161_29),
% 0.56/0.41 inference(avatar_split_clause,[],[f2790,f2743,f2657])).
% 0.56/0.41 thf(f2797,plain,(
% 0.56/0.41 ($true = ((hF_Mirabelle_hmem @ sK37 @ zero_z189798548lle_hf))) | (~spl161_11 | ~spl161_12)),
% 0.56/0.41 inference(forward_demodulation,[],[f2655,f2658])).
% 0.56/0.41 thf(f2798,plain,(
% 0.56/0.41 $false | (~spl161_11 | ~spl161_12)),
% 0.56/0.41 inference(forward_subsumption_resolution,[],[f2797,f1974])).
% 0.56/0.41 thf(f2799,plain,(
% 0.56/0.41 ~spl161_11 | ~spl161_12),
% 0.56/0.41 inference(avatar_contradiction_clause,[],[f2798])).
% 0.56/0.41 cnf(s11, plain, spl161_11 | ~spl161_12, inference(sat_conversion,[],[f2660])).
% 0.56/0.41 cnf(s39, plain, spl161_12 | spl161_29, inference(sat_conversion,[],[f2745])).
% 0.56/0.41 cnf(s54, plain, spl161_12 | ~spl161_29, inference(sat_conversion,[],[f2796])).
% 0.56/0.41 cnf(s55, plain, ~spl161_11 | ~spl161_12, inference(sat_conversion,[],[f2799])).
% 0.56/0.41 cnf(s58, plain, spl161_12, inference(rat,[],[s39,s54])).
% 0.56/0.41 cnf(s59, plain, ~spl161_11, inference(rat,[],[s55,s58])).
% 0.56/0.41 cnf(s60, plain, $false, inference(rat,[],[s11,s58,s59])).
% 0.56/0.41 thf(f2800,plain,(
% 0.56/0.41 $false),
% 0.56/0.41 inference(avatar_sat_refutation,[],[s60])).
% 0.56/0.41 % SZS output end Proof for theBenchmark
% 0.56/0.41 % (822759)------------------------------
% 0.56/0.41 % (822759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.41 % (822759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.41 % (822759)CaDiCaL version: 2.1.3
% 0.56/0.41 % (822759)Termination reason: Refutation
% 0.56/0.41 % (822759)Time elapsed: 0.081 s
% 0.56/0.41 % (822759)Peak memory usage: 15 MB
% 0.56/0.41 % (822759)Instructions burned: 169 (million)
% 0.56/0.41 % (822751)Success in time 0.139 s
% 0.56/0.41 % Vampire exiting
%------------------------------------------------------------------------------