%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM162^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 07:46:22 AM UTC 2026
% Result : Theorem 1.97s 0.76s
% Output : Refutation 1.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM162^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n006.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Tue Sep 29 17:46:54 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.32 Running higher-order theorem proving
% 0.34/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.43/0.61 % (1082132)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.43/0.61 % (1082137)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=565410606:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.43/0.61 % (1082143)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.43/0.61 % (1082143)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
% 1.43/0.61 % (1082142)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1475702273:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.43/0.61 % (1082143)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=2890578440:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.43/0.61 % (1082138)lrs+10_16_si=on:nwc=1.5:random_seed=1997964650:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.43/0.61 % (1082139)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=23175829:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.43/0.61 % (1082140)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=1422103839: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)
% 1.43/0.61 % (1082141)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3605672606:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.43/0.61 % (1082139)Instruction limit reached!
% 1.43/0.61 % (1082139)------------------------------
% 1.43/0.61 % (1082139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.61 % (1082139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.61 % (1082139)CaDiCaL version: 2.1.3
% 1.43/0.61 % (1082139)Termination reason: Instruction limit
% 1.43/0.61 % (1082139)Termination phase: shuffling
% 1.43/0.61 % (1082139)Time elapsed: 0.003 s
% 1.43/0.61 % (1082139)Peak memory usage: 10 MB
% 1.43/0.61 % (1082139)Instructions burned: 3 (million)
% 1.43/0.61 % (1082138)Instruction limit reached!
% 1.43/0.61 % (1082138)------------------------------
% 1.43/0.61 % (1082138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.61 % (1082138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.61 % (1082138)CaDiCaL version: 2.1.3
% 1.43/0.61 % (1082138)Termination reason: Instruction limit
% 1.43/0.61 % (1082138)Termination phase: Property scanning
% 1.43/0.61 % (1082138)Time elapsed: 0.016 s
% 1.43/0.61 % (1082138)Peak memory usage: 10 MB
% 1.43/0.61 % (1082138)Instructions burned: 18 (million)
% 1.43/0.61 % (1082137)Instruction limit reached!
% 1.43/0.61 % (1082137)------------------------------
% 1.43/0.61 % (1082137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.61 % (1082137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.61 % (1082137)CaDiCaL version: 2.1.3
% 1.43/0.61 % (1082137)Termination reason: Instruction limit
% 1.43/0.61 % (1082137)Termination phase: Saturation
% 1.43/0.61 % (1082137)Time elapsed: 0.041 s
% 1.43/0.61 % (1082137)Peak memory usage: 13 MB
% 1.43/0.61 % (1082137)Instructions burned: 88 (million)
% 1.43/0.61 % (1082141)Instruction limit reached!
% 1.43/0.61 % (1082141)------------------------------
% 1.43/0.61 % (1082141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.61 % (1082141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.61 % (1082141)CaDiCaL version: 2.1.3
% 1.43/0.61 % (1082141)Termination reason: Instruction limit
% 1.43/0.61 % (1082141)Termination phase: Preprocessing 3
% 1.43/0.61 % (1082141)Time elapsed: 0.023 s
% 1.43/0.61 % (1082141)Peak memory usage: 11 MB
% 1.43/0.61 % (1082141)Instructions burned: 24 (million)
% 1.43/0.61 % (1082151)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3297693470:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.43/0.61 % (1082154)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4271379346:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.43/0.66 % (1082151)Instruction limit reached!
% 1.43/0.66 % (1082151)------------------------------
% 1.43/0.66 % (1082151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.66 % (1082151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.66 % (1082151)CaDiCaL version: 2.1.3
% 1.43/0.66 % (1082151)Termination reason: Instruction limit
% 1.43/0.66 % (1082151)Termination phase: shuffling
% 1.43/0.66 % (1082151)Time elapsed: 0.006 s
% 1.43/0.66 % (1082151)Peak memory usage: 10 MB
% 1.43/0.66 % (1082151)Instructions burned: 3 (million)
% 1.43/0.66 % (1082152)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2877579457:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.43/0.66 % (1082154)Instruction limit reached!
% 1.43/0.66 % (1082154)------------------------------
% 1.43/0.66 % (1082154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.66 % (1082154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.66 % (1082154)CaDiCaL version: 2.1.3
% 1.43/0.66 % (1082154)Termination reason: Instruction limit
% 1.43/0.66 % (1082154)Termination phase: Property scanning
% 1.43/0.66 % (1082154)Time elapsed: 0.006 s
% 1.43/0.66 % (1082154)Peak memory usage: 10 MB
% 1.43/0.66 % (1082154)Instructions burned: 13 (million)
% 1.43/0.66 % (1082152)Instruction limit reached!
% 1.43/0.66 % (1082152)------------------------------
% 1.43/0.66 % (1082152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.66 % (1082152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.66 % (1082152)CaDiCaL version: 2.1.3
% 1.43/0.66 % (1082152)Termination reason: Instruction limit
% 1.43/0.66 % (1082152)Termination phase: shuffling
% 1.43/0.66 % (1082152)Time elapsed: 0.005 s
% 1.43/0.66 % (1082152)Peak memory usage: 10 MB
% 1.43/0.66 % (1082152)Instructions burned: 5 (million)
% 1.43/0.66 % (1082153)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.43/0.66 % (1082153)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1052479272:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.43/0.66 % (1082142)Instruction limit reached!
% 1.43/0.66 % (1082142)------------------------------
% 1.43/0.66 % (1082142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.66 % (1082142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.66 % (1082142)CaDiCaL version: 2.1.3
% 1.43/0.66 % (1082142)Termination reason: Instruction limit
% 1.43/0.66 % (1082142)Termination phase: Saturation
% 1.43/0.66 % (1082142)Time elapsed: 0.066 s
% 1.43/0.66 % (1082142)Peak memory usage: 12 MB
% 1.43/0.66 % (1082142)Instructions burned: 75 (million)
% 1.43/0.66 % (1082153)Instruction limit reached!
% 1.43/0.66 % (1082153)------------------------------
% 1.43/0.66 % (1082153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.66 % (1082153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.66 % (1082153)CaDiCaL version: 2.1.3
% 1.43/0.66 % (1082153)Termination reason: Instruction limit
% 1.43/0.66 % (1082153)Termination phase: shuffling
% 1.43/0.66 % (1082153)Time elapsed: 0.009 s
% 1.43/0.66 % (1082160)lrs+10_1_si=on:cs=on:random_seed=1783624113:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.43/0.66 % (1082153)Peak memory usage: 10 MB
% 1.43/0.66 % (1082153)Instructions burned: 9 (million)
% 1.43/0.66 % (1082157)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
% 1.43/0.66 % (1082157)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.43/0.66 % (1082160)Instruction limit reached!
% 1.43/0.66 % (1082160)------------------------------
% 1.43/0.66 % (1082160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.66 % (1082160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.66 % (1082160)CaDiCaL version: 2.1.3
% 1.43/0.66 % (1082160)Termination reason: Instruction limit
% 1.43/0.66 % (1082160)Termination phase: Property scanning
% 1.43/0.66 % (1082160)Time elapsed: 0.006 s
% 1.43/0.66 % (1082160)Peak memory usage: 10 MB
% 1.97/0.72 % (1082160)Instructions burned: 12 (million)
% 1.97/0.72 % (1082157)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2965041995:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.97/0.72 % (1082159)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=1056182822:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.97/0.72 % (1082162)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.97/0.72 % (1082162)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=524682550:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.97/0.72 % (1082165)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=310003701:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.97/0.72 % (1082162)Instruction limit reached!
% 1.97/0.72 % (1082162)------------------------------
% 1.97/0.72 % (1082162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.72 % (1082162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.72 % (1082162)CaDiCaL version: 2.1.3
% 1.97/0.72 % (1082162)Termination reason: Instruction limit
% 1.97/0.72 % (1082162)Termination phase: shuffling
% 1.97/0.72 % (1082162)Time elapsed: 0.003 s
% 1.97/0.72 % (1082162)Peak memory usage: 10 MB
% 1.97/0.72 % (1082162)Instructions burned: 3 (million)
% 1.97/0.72 % (1082157)Instruction limit reached!
% 1.97/0.72 % (1082157)------------------------------
% 1.97/0.72 % (1082157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.72 % (1082157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.72 % (1082157)CaDiCaL version: 2.1.3
% 1.97/0.72 % (1082157)Termination reason: Instruction limit
% 1.97/0.72 % (1082157)Termination phase: Property scanning
% 1.97/0.72 % (1082157)Time elapsed: 0.025 s
% 1.97/0.72 % (1082157)Peak memory usage: 10 MB
% 1.97/0.72 % (1082157)Instructions burned: 28 (million)
% 1.97/0.72 % (1082164)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2489513731:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.97/0.72 % (1082165)Refutation not found, incomplete strategy
% 1.97/0.72 % (1082165)------------------------------
% 1.97/0.72 % (1082165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.72 % (1082165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.72 % (1082165)CaDiCaL version: 2.1.3
% 1.97/0.72 % (1082165)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.72 % (1082165)Time elapsed: 0.028 s
% 1.97/0.72 % (1082165)Peak memory usage: 13 MB
% 1.97/0.72 % (1082165)Instructions burned: 29 (million)
% 1.97/0.72 % (1082165)------------------------------
% 1.97/0.72 % (1082165)------------------------------
% 1.97/0.72 % (1082170)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2755544218:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.97/0.72 % (1082172)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=341287775:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.97/0.72 % (1082143)Instruction limit reached!
% 1.97/0.72 % (1082143)------------------------------
% 1.97/0.72 % (1082143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.72 % (1082143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.72 % (1082143)CaDiCaL version: 2.1.3
% 1.97/0.72 % (1082143)Termination reason: Instruction limit
% 1.97/0.72 % (1082143)Termination phase: Saturation
% 1.97/0.72 % (1082143)Time elapsed: 0.142 s
% 1.97/0.72 % (1082143)Peak memory usage: 13 MB
% 1.97/0.72 % (1082143)Instructions burned: 159 (million)
% 1.97/0.72 % (1082164)Instruction limit reached!
% 1.97/0.72 % (1082164)------------------------------
% 1.97/0.72 % (1082164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.72 % (1082164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.72 % (1082164)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082164)Termination reason: Instruction limit
% 1.97/0.76 % (1082164)Termination phase: Saturation
% 1.97/0.76 % (1082164)Time elapsed: 0.038 s
% 1.97/0.76 % (1082164)Peak memory usage: 13 MB
% 1.97/0.76 % (1082164)Instructions burned: 38 (million)
% 1.97/0.76 % (1082172)Instruction limit reached!
% 1.97/0.76 % (1082172)------------------------------
% 1.97/0.76 % (1082172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082172)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082172)Termination reason: Instruction limit
% 1.97/0.76 % (1082172)Termination phase: Property scanning
% 1.97/0.76 % (1082172)Time elapsed: 0.014 s
% 1.97/0.76 % (1082172)Peak memory usage: 10 MB
% 1.97/0.76 % (1082172)Instructions burned: 15 (million)
% 1.97/0.76 % (1082159)Instruction limit reached!
% 1.97/0.76 % (1082159)------------------------------
% 1.97/0.76 % (1082159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082159)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082159)Termination reason: Instruction limit
% 1.97/0.76 % (1082159)Termination phase: Function definition elimination
% 1.97/0.76 % (1082159)Time elapsed: 0.074 s
% 1.97/0.76 % (1082159)Peak memory usage: 11 MB
% 1.97/0.76 % (1082159)Instructions burned: 86 (million)
% 1.97/0.76 % (1082170)Instruction limit reached!
% 1.97/0.76 % (1082170)------------------------------
% 1.97/0.76 % (1082170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082170)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082170)Termination reason: Instruction limit
% 1.97/0.76 % (1082170)Termination phase: Preprocessing 1
% 1.97/0.76 % (1082170)Time elapsed: 0.022 s
% 1.97/0.76 % (1082170)Peak memory usage: 10 MB
% 1.97/0.76 % (1082170)Instructions burned: 25 (million)
% 1.97/0.76 % (1082177)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1137307986:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.97/0.76 % (1082174)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4225284638:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.97/0.76 % (1082177)Instruction limit reached!
% 1.97/0.76 % (1082177)------------------------------
% 1.97/0.76 % (1082177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082177)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082177)Termination reason: Instruction limit
% 1.97/0.76 % (1082177)Termination phase: shuffling
% 1.97/0.76 % (1082177)Time elapsed: 0.002 s
% 1.97/0.76 % (1082177)Peak memory usage: 10 MB
% 1.97/0.76 % (1082177)Instructions burned: 3 (million)
% 1.97/0.76 % (1082176)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=912211488:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.97/0.76 % (1082183)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 1.97/0.76 % (1082183)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.97/0.76 % (1082176)Instruction limit reached!
% 1.97/0.76 % (1082176)------------------------------
% 1.97/0.76 % (1082176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082176)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082176)Termination reason: Instruction limit
% 1.97/0.76 % (1082176)Termination phase: Property scanning
% 1.97/0.76 % (1082176)Time elapsed: 0.013 s
% 1.97/0.76 % (1082176)Peak memory usage: 10 MB
% 1.97/0.76 % (1082176)Instructions burned: 14 (million)
% 1.97/0.76 % (1082178)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3341668497:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.97/0.76 % (1082179)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3466027086:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.97/0.76 % (1082183)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1821080196:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.97/0.76 % (1082180)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2884717586:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.97/0.76 % (1082183)Instruction limit reached!
% 1.97/0.76 % (1082183)------------------------------
% 1.97/0.76 % (1082183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082183)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082183)Termination reason: Instruction limit
% 1.97/0.76 % (1082183)Termination phase: shuffling
% 1.97/0.76 % (1082183)Time elapsed: 0.013 s
% 1.97/0.76 % (1082183)Peak memory usage: 10 MB
% 1.97/0.76 % (1082183)Instructions burned: 14 (million)
% 1.97/0.76 % (1082179)Instruction limit reached!
% 1.97/0.76 % (1082179)------------------------------
% 1.97/0.76 % (1082179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082179)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082179)Termination reason: Instruction limit
% 1.97/0.76 % (1082179)Termination phase: Preprocessing 1
% 1.97/0.76 % (1082179)Time elapsed: 0.020 s
% 1.97/0.76 % (1082179)Peak memory usage: 10 MB
% 1.97/0.76 % (1082179)Instructions burned: 23 (million)
% 1.97/0.76 % (1082178)Instruction limit reached!
% 1.97/0.76 % (1082178)------------------------------
% 1.97/0.76 % (1082178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082178)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082178)Termination reason: Instruction limit
% 1.97/0.76 % (1082178)Termination phase: Property scanning
% 1.97/0.76 % (1082178)Time elapsed: 0.024 s
% 1.97/0.76 % (1082178)Peak memory usage: 11 MB
% 1.97/0.76 % (1082178)Instructions burned: 27 (million)
% 1.97/0.76 % (1082185)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.97/0.76 % (1082185)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2530285776:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.97/0.76 % (1082190)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3171860418:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.97/0.76 % (1082185)Instruction limit reached!
% 1.97/0.76 % (1082185)------------------------------
% 1.97/0.76 % (1082185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082185)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082185)Termination reason: Instruction limit
% 1.97/0.76 % (1082185)Termination phase: shuffling
% 1.97/0.76 % (1082185)Time elapsed: 0.008 s
% 1.97/0.76 % (1082185)Peak memory usage: 10 MB
% 1.97/0.76 % (1082185)Instructions burned: 8 (million)
% 1.97/0.76 % (1082180)Instruction limit reached!
% 1.97/0.76 % (1082180)------------------------------
% 1.97/0.76 % (1082180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082180)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082180)Termination reason: Instruction limit
% 1.97/0.76 % (1082180)Termination phase: Saturation
% 1.97/0.76 % (1082180)Time elapsed: 0.052 s
% 1.97/0.76 % (1082180)Peak memory usage: 12 MB
% 1.97/0.76 % (1082180)Instructions burned: 60 (million)
% 1.97/0.76 % (1082192)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=519585965:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.97/0.76 % (1082191)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3394014237:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.97/0.76 % (1082190)Instruction limit reached!
% 1.97/0.76 % (1082190)------------------------------
% 1.97/0.76 % (1082190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082190)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082190)Termination reason: Instruction limit
% 1.97/0.76 % (1082190)Termination phase: Property scanning
% 1.97/0.76 % (1082190)Time elapsed: 0.026 s
% 1.97/0.76 % (1082190)Peak memory usage: 10 MB
% 1.97/0.76 % (1082190)Instructions burned: 32 (million)
% 1.97/0.76 % (1082191)Instruction limit reached!
% 1.97/0.76 % (1082191)------------------------------
% 1.97/0.76 % (1082191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082191)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082191)Termination reason: Instruction limit
% 1.97/0.76 % (1082191)Termination phase: shuffling
% 1.97/0.76 % (1082191)Time elapsed: 0.007 s
% 1.97/0.76 % (1082191)Peak memory usage: 10 MB
% 1.97/0.76 % (1082191)Instructions burned: 7 (million)
% 1.97/0.76 % (1082195)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1603593269:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.97/0.76 % (1082198)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1419746837:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.97/0.76 % (1082192)Instruction limit reached!
% 1.97/0.76 % (1082192)------------------------------
% 1.97/0.76 % (1082192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082192)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082192)Termination reason: Instruction limit
% 1.97/0.76 % (1082192)Termination phase: shuffling
% 1.97/0.76 % (1082192)Time elapsed: 0.021 s
% 1.97/0.76 % (1082192)Peak memory usage: 10 MB
% 1.97/0.76 % (1082192)Instructions burned: 23 (million)
% 1.97/0.76 % (1082195)Instruction limit reached!
% 1.97/0.76 % (1082195)------------------------------
% 1.97/0.76 % (1082195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082195)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082195)Termination reason: Instruction limit
% 1.97/0.76 % (1082195)Termination phase: Property scanning
% 1.97/0.76 % (1082195)Time elapsed: 0.018 s
% 1.97/0.76 % (1082195)Peak memory usage: 10 MB
% 1.97/0.76 % (1082195)Instructions burned: 20 (million)
% 1.97/0.76 % (1082140) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1082132-1082140"...
% 1.97/0.76 % (1082199)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3596719545:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 1.97/0.76 % (1082200)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=46394154:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 1.97/0.76 % (1082140)...printing done.
% 1.97/0.76 % (1082140)Refutation found. Thanks to Tanya!
% 1.97/0.76 % SZS status Theorem for theBenchmark
% 1.97/0.76 % SZS output start Proof for theBenchmark
% 1.97/0.76 thf(type_def_5, type, binDag_Mirabelle_dag: $tType).
% 1.97/0.76 thf(type_def_6, type, tuple_isomorphism: ($tType * $tType * $tType) > $tType).
% 1.97/0.76 thf(type_def_7, type, code_natural: $tType).
% 1.97/0.76 thf(type_def_8, type, code_term: $tType).
% 1.97/0.76 thf(type_def_9, type, product_unit: $tType).
% 1.97/0.76 thf(type_def_10, type, product_prod: ($tType * $tType) > $tType).
% 1.97/0.76 thf(type_def_11, type, typerep: $tType).
% 1.97/0.76 thf(type_def_12, type, simpl_ref: $tType).
% 1.97/0.76 thf(type_def_13, type, literal: $tType).
% 1.97/0.76 thf(type_def_14, type, sum_sum: ($tType * $tType) > $tType).
% 1.97/0.76 thf(type_def_15, type, option: $tType > $tType).
% 1.97/0.76 thf(type_def_16, type, list: $tType > $tType).
% 1.97/0.76 thf(type_def_17, type, set: $tType > $tType).
% 1.97/0.76 thf(type_def_18, type, num: $tType).
% 1.97/0.76 thf(type_def_19, type, nat: $tType).
% 1.97/0.76 thf(type_def_20, type, itself: $tType > $tType).
% 1.97/0.76 thf(type_def_21, type, sTfun: ($tType * $tType) > $tType).
% 1.97/0.76 thf(func_def_0, type, enum: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_1, type, typerep2: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_2, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_3, type, cl_HOL_Oequal: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_4, type, code_term_of: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_5, type, size: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_6, type, one: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_7, type, zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_8, type, numeral: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_9, type, field: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_10, type, neg_numeral: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_11, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_12, type, monoid_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_13, type, zero_neq_one: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_14, type, semiring_char_0: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_15, type, semiring_div: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_16, type, division_ring: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_17, type, semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_18, type, semidom_divide: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_19, type, comm_semiring_1: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_20, type, comm_monoid_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_21, type, linordered_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_22, type, ab_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_23, type, quickcheck_random: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_24, type, semiring_div_parity: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_25, type, cancel_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_26, type, cancel1352612707id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_27, type, linord219039673up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_28, type, ordere779506340up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_29, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_30, type, semiri456707255roduct: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.97/0.76 thf(func_def_31, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 1.97/0.76 thf(func_def_32, type, basic_BNF_size_sum: !>[X0: $tType, X1: $tType]:(((X0 > nat) > (X1 > nat) > sum_sum @ X0 @ X1 > nat))).
% 1.97/0.76 thf(func_def_33, type, binDag476092410e_Node: (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 1.97/0.76 thf(func_def_34, type, binDag_Mirabelle_Tip: binDag_Mirabelle_dag).
% 1.97/0.76 thf(func_def_35, type, binDag1297733282se_dag: !>[X0: $tType]:((X0 > (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0) > binDag_Mirabelle_dag > X0))).
% 1.97/0.76 thf(func_def_36, type, binDag1442713106ec_dag: !>[X0: $tType]:((X0 > (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0 > X0 > X0) > binDag_Mirabelle_dag > X0))).
% 1.97/0.76 thf(func_def_37, type, binDag1924123185ze_dag: (binDag_Mirabelle_dag > nat)).
% 1.97/0.76 thf(func_def_38, type, code_Suc: (code_natural > code_natural)).
% 1.97/0.76 thf(func_def_39, type, code_case_natural: !>[X0: $tType]:((X0 > (code_natural > X0) > code_natural > X0))).
% 1.97/0.76 thf(func_def_40, type, code_rec_natural: !>[X0: $tType]:((X0 > (code_natural > X0 > X0) > code_natural > X0))).
% 1.97/0.76 thf(func_def_41, type, code_size_natural: (code_natural > nat)).
% 1.97/0.76 thf(func_def_42, type, one_one: !>[X0: $tType]:(X0)).
% 1.97/0.76 thf(func_def_43, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.97/0.76 thf(func_def_44, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.97/0.76 thf(func_def_45, type, size_bool: ($o > nat)).
% 1.97/0.76 thf(func_def_46, type, default_default: !>[X0: $tType]:(X0)).
% 1.97/0.76 thf(func_def_47, type, undefined: !>[X0: $tType]:(X0)).
% 1.97/0.76 thf(func_def_48, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.97/0.76 thf(func_def_49, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 1.97/0.76 thf(func_def_50, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.97/0.76 thf(func_def_51, type, size_list: !>[X0: $tType]:(((X0 > nat) > list @ X0 > nat))).
% 1.97/0.76 thf(func_def_52, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.97/0.76 thf(func_def_53, type, suc: (nat > nat)).
% 1.97/0.76 thf(func_def_54, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 1.97/0.76 thf(func_def_55, type, inc: (num > num)).
% 1.97/0.76 thf(func_def_56, type, nat_of_num: (num > nat)).
% 1.97/0.76 thf(func_def_57, type, neg_numeral_dbl_inc: !>[X0: $tType]:((X0 > X0))).
% 1.97/0.76 thf(func_def_58, type, bit0: (num > num)).
% 1.97/0.76 thf(func_def_59, type, bit1: (num > num)).
% 1.97/0.76 thf(func_def_60, type, one2: num).
% 1.97/0.76 thf(func_def_61, type, size_num: (num > nat)).
% 1.97/0.76 thf(func_def_62, type, numeral_numeral: !>[X0: $tType]:((num > X0))).
% 1.97/0.76 thf(func_def_63, type, none: !>[X0: $tType]:(option @ X0)).
% 1.97/0.76 thf(func_def_64, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 1.97/0.76 thf(func_def_65, type, case_option: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > option @ X1 > X0))).
% 1.97/0.76 thf(func_def_66, type, size_option: !>[X0: $tType]:(((X0 > nat) > option @ X0 > nat))).
% 1.97/0.76 thf(func_def_67, type, the: !>[X0: $tType]:((option @ X0 > X0))).
% 1.97/0.76 thf(func_def_68, type, product_Unity: product_unit).
% 1.97/0.76 thf(func_def_69, type, product_rec_bool: !>[X0: $tType]:((X0 > X0 > $o > X0))).
% 1.97/0.76 thf(func_def_70, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 1.97/0.76 thf(func_def_71, type, product_case_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 1.97/0.76 thf(func_def_72, type, product_size_unit: (product_unit > nat)).
% 1.97/0.76 thf(func_def_73, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.97/0.76 thf(func_def_74, type, tuple_742722141rphism: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > product_prod @ X1 @ X2) > (product_prod @ X1 @ X2 > X0) > tuple_isomorphism @ X0 @ X1 @ X2))).
% 1.97/0.76 thf(func_def_75, type, tuple_1907371454rphism: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > nat) > (X1 > nat) > (X2 > nat) > tuple_isomorphism @ X0 @ X1 @ X2 > nat))).
% 1.97/0.76 thf(func_def_76, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.97/0.76 thf(func_def_77, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.97/0.76 thf(func_def_78, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 1.97/0.76 thf(func_def_79, type, sum_Inr: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X1 @ X0))).
% 1.97/0.76 thf(func_def_80, type, transitive_ntrancl: !>[X0: $tType]:((nat > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 1.97/0.76 thf(func_def_81, type, typerep3: (literal > list @ typerep > typerep)).
% 1.97/0.76 thf(func_def_82, type, size_typerep: (typerep > nat)).
% 1.97/0.76 thf(func_def_83, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.97/0.76 thf(func_def_84, type, a: simpl_ref).
% 1.97/0.76 thf(func_def_85, type, lt: binDag_Mirabelle_dag).
% 1.97/0.76 thf(func_def_86, type, rt: binDag_Mirabelle_dag).
% 1.97/0.76 thf(func_def_90, type, db0: !>[X0: $tType]:(X0)).
% 1.97/0.76 thf(func_def_91, type, db1: !>[X0: $tType]:(X0)).
% 1.97/0.76 thf(func_def_92, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.97/0.76 thf(func_def_93, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.97/0.76 thf(func_def_94, type, vOR: ($o > $o > $o)).
% 1.97/0.76 thf(func_def_95, type, db2: !>[X0: $tType]:(X0)).
% 1.97/0.76 thf(func_def_96, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.97/0.76 thf(func_def_97, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.97/0.76 thf(func_def_98, type, vAND: ($o > $o > $o)).
% 1.97/0.76 thf(func_def_99, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > $o > (sum_sum @ X2 @ X0 > X1) > X2))).
% 1.97/0.76 thf(func_def_100, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > $o > (sum_sum @ X2 @ X0 > X1) > X0))).
% 1.97/0.76 thf(func_def_101, type, sK2: ((nat > $o) > nat)).
% 1.97/0.76 thf(func_def_102, type, sK3: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 1.97/0.76 thf(func_def_103, type, sK4: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 1.97/0.76 thf(func_def_104, type, sK5: !>[X0: $tType, X1: $tType]:((option @ X1 > (option @ X0 > option @ X1 > $o) > option @ X0 > X1))).
% 1.97/0.76 thf(func_def_105, type, sK6: !>[X0: $tType, X1: $tType]:((option @ X1 > (option @ X0 > option @ X1 > $o) > option @ X0 > X0))).
% 1.97/0.76 thf(func_def_106, type, sK7: (nat > nat)).
% 1.97/0.76 thf(func_def_107, type, sK8: (binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 1.97/0.76 thf(func_def_108, type, sK9: (binDag_Mirabelle_dag > simpl_ref)).
% 1.97/0.76 thf(func_def_109, type, sK10: (binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 1.97/0.76 thf(func_def_110, type, sK11: (code_natural > code_natural)).
% 1.97/0.76 thf(func_def_111, type, sK12: ((code_natural > code_natural > $o) > code_natural)).
% 1.97/0.76 thf(func_def_112, type, sK13: ((code_natural > code_natural > $o) > code_natural)).
% 1.97/0.76 thf(func_def_113, type, sK14: ((code_natural > code_natural > $o) > code_natural)).
% 1.97/0.76 thf(func_def_114, type, sK15: !>[X0: $tType]:((option @ X0 > X0))).
% 1.97/0.76 thf(func_def_115, type, sK16: ((code_natural > $o) > code_natural)).
% 1.97/0.76 thf(func_def_116, type, sK17: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 1.97/0.76 thf(func_def_117, type, sK18: ((nat > $o) > nat)).
% 1.97/0.76 thf(func_def_118, type, sK19: !>[X0: $tType]:((option @ X0 > (X0 > $o) > X0))).
% 1.97/0.76 thf(func_def_119, type, sK20: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.97/0.76 thf(func_def_120, type, sK21: ((binDag_Mirabelle_dag > $o) > binDag_Mirabelle_dag)).
% 1.97/0.76 thf(func_def_121, type, sK22: ((binDag_Mirabelle_dag > $o) > binDag_Mirabelle_dag)).
% 1.97/0.76 thf(func_def_122, type, sK23: ((binDag_Mirabelle_dag > $o) > simpl_ref)).
% 1.97/0.76 thf(func_def_123, type, sK24: ((nat > nat > $o) > nat)).
% 1.97/0.76 thf(func_def_124, type, sK25: ((nat > nat > $o) > nat)).
% 1.97/0.76 thf(func_def_125, type, sK26: ((nat > nat > $o) > nat)).
% 1.97/0.76 thf(func_def_126, type, sK27: ((nat > nat > $o) > nat)).
% 1.97/0.76 thf(func_def_127, type, sK28: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.97/0.76 thf(func_def_128, type, sK29: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat > X0))).
% 1.97/0.76 thf(func_def_129, type, sK30: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat))).
% 1.97/0.76 thf(func_def_130, type, sK31: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > X0))).
% 1.97/0.76 thf(func_def_131, type, sK32: (nat > nat)).
% 1.97/0.76 thf(func_def_132, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > X1) > (X0 > $o) > X0))).
% 1.97/0.76 thf(func_def_133, type, sK34: ((nat > $o) > nat)).
% 1.97/0.76 thf(func_def_134, type, sK35: !>[X0: $tType]:(((code_natural > X0) > (code_natural > X0) > code_natural))).
% 1.97/0.76 thf(func_def_135, type, sK36: !>[X0: $tType]:((option @ X0 > X0))).
% 1.97/0.76 thf(func_def_136, type, sK37: !>[X0: $tType]:((option @ X0 > X0))).
% 1.97/0.76 thf(func_def_137, type, sK38: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 1.97/0.76 thf(func_def_138, type, sK39: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 1.97/0.76 thf(func_def_139, type, vNOT: ($o > $o)).
% 1.97/0.76 thf(func_def_141, type, inv_suc_41: (nat > nat)).
% 1.97/0.76 thf(func_def_142, type, db4: !>[X0: $tType]:(X0)).
% 1.97/0.76 thf(func_def_143, type, db3: !>[X0: $tType]:(X0)).
% 1.97/0.76 thf(func_def_144, type, inv_plus_plus_42: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.97/0.76 thf(func_def_145, type, inv_plus_plus_43: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.97/0.76 thf(f1,axiom,(
% 1.97/0.76 ! [X4 : binDag_Mirabelle_dag,X5 : simpl_ref,X6 : binDag_Mirabelle_dag,X7 : binDag_Mirabelle_dag,X8 : simpl_ref,X9 : binDag_Mirabelle_dag] : ((((binDag476092410e_Node @ X4 @ X5 @ X6)) = ((binDag476092410e_Node @ X7 @ X8 @ X9))) = (X4 = X7) & (X5 = X8) & (X6 = X9))),
% 1.97/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_dag_Oinject)).
% 1.97/0.76 thf(f2,axiom,(
% 1.97/0.76 ! [X0 : binDag_Mirabelle_dag,X2 : binDag_Mirabelle_dag,X1 : simpl_ref] : (binDag_Mirabelle_Tip != ((binDag476092410e_Node @ X0 @ X1 @ X2)))),
% 1.97/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_dag_Odistinct_I1_J)).
% 1.97/0.76 thf(f4,axiom,(
% 1.97/0.76 ! [X0 : binDag_Mirabelle_dag] : ((X0 != binDag_Mirabelle_Tip) => ~ ! [X2 : simpl_ref,X1 : binDag_Mirabelle_dag,X3 : binDag_Mirabelle_dag] : (X0 != ((binDag476092410e_Node @ X1 @ X2 @ X3))))),
% 1.97/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_dag_Oexhaust)).
% 1.97/0.76 thf(f19,axiom,(
% 1.97/0.76 ! [X0 : binDag_Mirabelle_dag,X2 : binDag_Mirabelle_dag,X1 : simpl_ref] : (((size_size @ binDag_Mirabelle_dag @ (binDag476092410e_Node @ X0 @ X1 @ X2))) = ((plus_plus @ nat @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ X0) @ (size_size @ binDag_Mirabelle_dag @ X2)) @ (suc @ zero_zero @ nat))))),
% 1.97/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_dag_Osize_I4_J)).
% 1.97/0.76 thf(f37,axiom,(
% 1.97/0.76 ! [X0 : nat] : (((plus_plus @ nat @ X0 @ zero_zero @ nat)) = X0)),
% 1.97/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_Nat_Oadd__0__right)).
% 1.97/0.76 thf(f38,axiom,(
% 1.97/0.76 ! [X1 : nat,X0 : nat] : (((plus_plus @ nat @ X0 @ (suc @ X1))) = ((suc @ (plus_plus @ nat @ X0 @ X1))))),
% 1.97/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_add__Suc__right)).
% 1.97/0.76 thf(f71,axiom,(
% 1.97/0.76 ! [X0 : nat] : (((suc @ X0)) != zero_zero @ nat)),
% 1.97/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_Suc__neq__Zero)).
% 1.97/0.76 thf(f78,axiom,(
% 1.97/0.76 ! [X1 : nat,X0 : nat] : ((((plus_plus @ nat @ X0 @ X1)) = X0) => (X1 = zero_zero @ nat))),
% 1.97/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_add__eq__self__zero)).
% 1.97/0.76 thf(f370,conjecture,(
% 1.97/0.76 (((binDag476092410e_Node @ lt @ a @ rt)) != lt)),
% 1.97/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.97/0.76 thf(f371,negated_conjecture,(
% 1.97/0.76 ~ (((binDag476092410e_Node @ lt @ a @ rt)) != lt)),
% 1.97/0.76 inference(negated_conjecture,[status(cth)],[f370])).
% 1.97/0.76 thf(f602,plain,(
% 1.97/0.76 ! [X0 : binDag_Mirabelle_dag,X1 : simpl_ref,X2 : binDag_Mirabelle_dag,X3 : binDag_Mirabelle_dag,X4 : simpl_ref,X5 : binDag_Mirabelle_dag] : ((((binDag476092410e_Node @ X0 @ X1 @ X2)) = ((binDag476092410e_Node @ X3 @ X4 @ X5))) = (X0 = X3) & (X1 = X4) & (X2 = X5))),
% 1.97/0.76 inference(rectify,[],[f1])).
% 1.97/0.76 thf(f603,plain,(
% 1.97/0.76 ! [X1 : simpl_ref,X0 : binDag_Mirabelle_dag,X5 : binDag_Mirabelle_dag,X4 : simpl_ref,X2 : binDag_Mirabelle_dag,X3 : binDag_Mirabelle_dag] : ((((binDag476092410e_Node @ X0 @ X1 @ X2)) = ((binDag476092410e_Node @ X3 @ X4 @ X5))) <=> ((X1 = X4) & (X2 = X5) & (X0 = X3)))),
% 1.97/0.76 inference(fool_elimination,[],[f602])).
% 1.97/0.76 thf(f867,plain,(
% 1.97/0.76 ! [X1 : binDag_Mirabelle_dag,X2 : simpl_ref,X0 : binDag_Mirabelle_dag] : (binDag_Mirabelle_Tip != ((binDag476092410e_Node @ X0 @ X2 @ X1)))),
% 1.97/0.76 inference(rectify,[],[f2])).
% 1.97/0.76 thf(f870,plain,(
% 1.97/0.76 (lt = ((binDag476092410e_Node @ lt @ a @ rt)))),
% 1.97/0.76 inference(flattening,[],[f371])).
% 1.97/0.76 thf(f873,plain,(
% 1.97/0.76 ! [X1 : nat,X0 : nat] : (((plus_plus @ nat @ X1 @ (suc @ X0))) = ((suc @ (plus_plus @ nat @ X1 @ X0))))),
% 1.97/0.76 inference(rectify,[],[f38])).
% 1.97/0.76 thf(f878,plain,(
% 1.97/0.76 ! [X0 : binDag_Mirabelle_dag,X2 : simpl_ref,X1 : binDag_Mirabelle_dag] : (((plus_plus @ nat @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ X0) @ (size_size @ binDag_Mirabelle_dag @ X1)) @ (suc @ zero_zero @ nat))) = ((size_size @ binDag_Mirabelle_dag @ (binDag476092410e_Node @ X0 @ X2 @ X1))))),
% 1.97/0.76 inference(rectify,[],[f19])).
% 1.97/0.76 thf(f880,plain,(
% 1.97/0.76 ! [X0 : binDag_Mirabelle_dag] : ((X0 != binDag_Mirabelle_Tip) => ~ ! [X2 : binDag_Mirabelle_dag,X3 : binDag_Mirabelle_dag,X1 : simpl_ref] : (((binDag476092410e_Node @ X2 @ X1 @ X3)) != X0))),
% 1.97/0.76 inference(rectify,[],[f4])).
% 1.97/0.76 thf(f889,plain,(
% 1.97/0.76 ! [X1 : nat,X0 : nat] : ((((plus_plus @ nat @ X1 @ X0)) = X1) => (zero_zero @ nat = X0))),
% 1.97/0.76 inference(rectify,[],[f78])).
% 1.97/0.76 thf(f998,plain,(
% 1.97/0.76 ! [X0 : binDag_Mirabelle_dag] : (? [X3 : binDag_Mirabelle_dag,X1 : simpl_ref,X2 : binDag_Mirabelle_dag] : (((binDag476092410e_Node @ X2 @ X1 @ X3)) = X0) | (binDag_Mirabelle_Tip = X0))),
% 1.97/0.76 inference(ennf_transformation,[],[f880])).
% 1.97/0.76 thf(f1043,plain,(
% 1.97/0.76 ! [X1 : nat,X0 : nat] : ((zero_zero @ nat = X0) | (((plus_plus @ nat @ X1 @ X0)) != X1))),
% 1.97/0.76 inference(ennf_transformation,[],[f889])).
% 1.97/0.76 thf(f1085,plain,(
% 1.97/0.76 ! [X0 : binDag_Mirabelle_dag] : (? [X1 : binDag_Mirabelle_dag,X2 : simpl_ref,X3 : binDag_Mirabelle_dag] : (((binDag476092410e_Node @ X3 @ X2 @ X1)) = X0) | (binDag_Mirabelle_Tip = X0))),
% 1.97/0.76 inference(rectify,[],[f998])).
% 1.97/0.76 thf(f1086,plain,(
% 1.97/0.76 ! [X0 : binDag_Mirabelle_dag] : ((((binDag476092410e_Node @ (sK10 @ X0) @ (sK9 @ X0) @ (sK8 @ X0))) = X0) | (binDag_Mirabelle_Tip = X0))),
% 1.97/0.76 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP]),skolemize(X8,sK1 @ X0 @ X1 @ X2 @ X5 @ X4 @ X3),skolemize(X8,sK1 @ X0 @ X1 @ X2 @ X5 @ X4 @ X3),skolemize(X8,sK1 @ X0 @ X1 @ X2 @ X5 @ X4 @ X3)],[f1085])).
% 1.97/0.76 thf(f1115,plain,(
% 1.97/0.76 ! [X1 : simpl_ref,X0 : binDag_Mirabelle_dag,X5 : binDag_Mirabelle_dag,X4 : simpl_ref,X2 : binDag_Mirabelle_dag,X3 : binDag_Mirabelle_dag] : (((((binDag476092410e_Node @ X0 @ X1 @ X2)) = ((binDag476092410e_Node @ X3 @ X4 @ X5))) | ((X1 != X4) | (X2 != X5) | (X0 != X3))) & (((X1 = X4) & (X2 = X5) & (X0 = X3)) | (((binDag476092410e_Node @ X0 @ X1 @ X2)) != ((binDag476092410e_Node @ X3 @ X4 @ X5)))))),
% 1.97/0.76 inference(nnf_transformation,[],[f603])).
% 1.97/0.76 thf(f1116,plain,(
% 1.97/0.76 ! [X1 : simpl_ref,X0 : binDag_Mirabelle_dag,X5 : binDag_Mirabelle_dag,X4 : simpl_ref,X2 : binDag_Mirabelle_dag,X3 : binDag_Mirabelle_dag] : (((((binDag476092410e_Node @ X0 @ X1 @ X2)) = ((binDag476092410e_Node @ X3 @ X4 @ X5))) | (X1 != X4) | (X2 != X5) | (X0 != X3)) & (((X1 = X4) & (X2 = X5) & (X0 = X3)) | (((binDag476092410e_Node @ X0 @ X1 @ X2)) != ((binDag476092410e_Node @ X3 @ X4 @ X5)))))),
% 1.97/0.76 inference(flattening,[],[f1115])).
% 1.97/0.76 thf(f1117,plain,(
% 1.97/0.76 ! [X0 : simpl_ref,X1 : binDag_Mirabelle_dag,X2 : binDag_Mirabelle_dag,X3 : simpl_ref,X4 : binDag_Mirabelle_dag,X5 : binDag_Mirabelle_dag] : (((((binDag476092410e_Node @ X5 @ X3 @ X2)) = ((binDag476092410e_Node @ X1 @ X0 @ X4))) | (X0 != X3) | (X2 != X4) | (X1 != X5)) & (((X0 = X3) & (X2 = X4) & (X1 = X5)) | (((binDag476092410e_Node @ X5 @ X3 @ X2)) != ((binDag476092410e_Node @ X1 @ X0 @ X4)))))),
% 1.97/0.76 inference(rectify,[],[f1116])).
% 1.97/0.76 thf(f1202,plain,(
% 1.97/0.76 ! [X0 : nat,X1 : nat] : ((zero_zero @ nat = X1) | (((plus_plus @ nat @ X0 @ X1)) != X0))),
% 1.97/0.76 inference(rectify,[],[f1043])).
% 1.97/0.76 thf(f1212,plain,(
% 1.97/0.76 ! [X0 : binDag_Mirabelle_dag,X1 : simpl_ref,X2 : binDag_Mirabelle_dag] : (binDag_Mirabelle_Tip != ((binDag476092410e_Node @ X2 @ X1 @ X0)))),
% 1.97/0.76 inference(rectify,[],[f867])).
% 1.97/0.76 thf(f1220,plain,(
% 1.97/0.76 ! [X0 : binDag_Mirabelle_dag,X1 : simpl_ref,X2 : binDag_Mirabelle_dag] : (((size_size @ binDag_Mirabelle_dag @ (binDag476092410e_Node @ X0 @ X1 @ X2))) = ((plus_plus @ nat @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ X0) @ (size_size @ binDag_Mirabelle_dag @ X2)) @ (suc @ zero_zero @ nat))))),
% 1.97/0.76 inference(rectify,[],[f878])).
% 1.97/0.76 thf(f1239,plain,(
% 1.97/0.76 ! [X0 : nat,X1 : nat] : (((plus_plus @ nat @ X0 @ (suc @ X1))) = ((suc @ (plus_plus @ nat @ X0 @ X1))))),
% 1.97/0.76 inference(rectify,[],[f873])).
% 1.97/0.76 thf(f1283,plain,(
% 1.97/0.76 ( ! [X0 : nat] : ((zero_zero @ nat != ((suc @ X0)))) )),
% 1.97/0.76 inference(cnf_transformation,[],[f71])).
% 1.97/0.76 thf(f1292,plain,(
% 1.97/0.76 (lt = ((binDag476092410e_Node @ lt @ a @ rt)))),
% 1.97/0.76 inference(cnf_transformation,[],[f870])).
% 1.97/0.76 thf(f1336,plain,(
% 1.97/0.76 ( ! [X0 : binDag_Mirabelle_dag] : ((((binDag476092410e_Node @ (sK10 @ X0) @ (sK9 @ X0) @ (sK8 @ X0))) = X0) | (binDag_Mirabelle_Tip = X0)) )),
% 1.97/0.76 inference(cnf_transformation,[],[f1086])).
% 1.97/0.76 thf(f1409,plain,(
% 1.97/0.76 ( ! [X2 : binDag_Mirabelle_dag,X3 : simpl_ref,X0 : simpl_ref,X1 : binDag_Mirabelle_dag,X4 : binDag_Mirabelle_dag,X5 : binDag_Mirabelle_dag] : ((((binDag476092410e_Node @ X5 @ X3 @ X2)) != ((binDag476092410e_Node @ X1 @ X0 @ X4))) | (X2 = X4)) )),
% 1.97/0.76 inference(cnf_transformation,[],[f1117])).
% 1.97/0.76 thf(f1545,plain,(
% 1.97/0.76 ( ! [X0 : nat] : ((((plus_plus @ nat @ X0 @ zero_zero @ nat)) = X0)) )),
% 1.97/0.76 inference(cnf_transformation,[],[f37])).
% 1.97/0.76 thf(f1606,plain,(
% 1.97/0.76 ( ! [X0 : nat,X1 : nat] : ((((plus_plus @ nat @ X0 @ X1)) != X0) | (zero_zero @ nat = X1)) )),
% 1.97/0.76 inference(cnf_transformation,[],[f1202])).
% 1.97/0.76 thf(f1634,plain,(
% 1.97/0.76 ( ! [X2 : binDag_Mirabelle_dag,X0 : binDag_Mirabelle_dag,X1 : simpl_ref] : ((binDag_Mirabelle_Tip != ((binDag476092410e_Node @ X2 @ X1 @ X0)))) )),
% 1.97/0.76 inference(cnf_transformation,[],[f1212])).
% 1.97/0.76 thf(f1654,plain,(
% 1.97/0.76 ( ! [X2 : binDag_Mirabelle_dag,X0 : binDag_Mirabelle_dag,X1 : simpl_ref] : ((((size_size @ binDag_Mirabelle_dag @ (binDag476092410e_Node @ X0 @ X1 @ X2))) = ((plus_plus @ nat @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ X0) @ (size_size @ binDag_Mirabelle_dag @ X2)) @ (suc @ zero_zero @ nat))))) )),
% 1.97/0.76 inference(cnf_transformation,[],[f1220])).
% 1.97/0.76 thf(f1705,plain,(
% 1.97/0.76 ( ! [X0 : nat,X1 : nat] : ((((plus_plus @ nat @ X0 @ (suc @ X1))) = ((suc @ (plus_plus @ nat @ X0 @ X1))))) )),
% 1.97/0.76 inference(cnf_transformation,[],[f1239])).
% 1.97/0.76 thf(f2007,definition,(
% 1.97/0.76 spl40_36 <=> (lt = ((binDag476092410e_Node @ lt @ a @ rt)))),
% 1.97/0.76 introduced(definition,[new_symbols(definition,[spl40_36])],[avatar_definition])).
% 1.97/0.76 thf(f2009,plain,(
% 1.97/0.76 (lt = ((binDag476092410e_Node @ lt @ a @ rt))) | ~spl40_36),
% 1.97/0.76 inference(avatar_component_clause,[],[f2007])).
% 1.97/0.76 thf(f2010,plain,(
% 1.97/0.76 spl40_36),
% 1.97/0.76 inference(avatar_split_clause,[],[f1292,f2007])).
% 1.97/0.76 thf(f2424,plain,(
% 1.97/0.76 ( ! [X2 : simpl_ref,X3 : binDag_Mirabelle_dag,X0 : binDag_Mirabelle_dag,X1 : binDag_Mirabelle_dag] : ((((binDag476092410e_Node @ X1 @ X2 @ X3)) != X0) | (((sK8 @ X0)) = X3) | (binDag_Mirabelle_Tip = X0)) )),
% 1.97/0.76 inference(superposition,[],[f1409,f1336])).
% 1.97/0.76 thf(f2441,plain,(
% 1.97/0.76 (((plus_plus @ nat @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ lt) @ (size_size @ binDag_Mirabelle_dag @ rt)) @ (suc @ zero_zero @ nat))) = ((size_size @ binDag_Mirabelle_dag @ lt))) | ~spl40_36),
% 1.97/0.76 inference(superposition,[],[f1654,f2009])).
% 1.97/0.76 thf(f2444,definition,(
% 1.97/0.76 spl40_117 <=> (((plus_plus @ nat @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ lt) @ (size_size @ binDag_Mirabelle_dag @ rt)) @ (suc @ zero_zero @ nat))) = ((size_size @ binDag_Mirabelle_dag @ lt)))),
% 1.97/0.76 introduced(definition,[new_symbols(definition,[spl40_117])],[avatar_definition])).
% 1.97/0.76 thf(f2446,plain,(
% 1.97/0.76 (((plus_plus @ nat @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ lt) @ (size_size @ binDag_Mirabelle_dag @ rt)) @ (suc @ zero_zero @ nat))) = ((size_size @ binDag_Mirabelle_dag @ lt))) | ~spl40_117),
% 1.97/0.76 inference(avatar_component_clause,[],[f2444])).
% 1.97/0.76 thf(f2447,plain,(
% 1.97/0.76 spl40_117 | ~spl40_36),
% 1.97/0.76 inference(avatar_split_clause,[],[f2441,f2007,f2444])).
% 1.97/0.76 thf(f2626,plain,(
% 1.97/0.76 ( ! [X2 : binDag_Mirabelle_dag,X0 : binDag_Mirabelle_dag,X1 : simpl_ref] : ((((sK8 @ (binDag476092410e_Node @ X0 @ X1 @ X2))) = X2) | (binDag_Mirabelle_Tip = ((binDag476092410e_Node @ X0 @ X1 @ X2)))) )),
% 1.97/0.76 inference(equality_resolution,[],[f2424])).
% 1.97/0.76 thf(f2627,plain,(
% 1.97/0.76 ( ! [X2 : binDag_Mirabelle_dag,X0 : binDag_Mirabelle_dag,X1 : simpl_ref] : ((((sK8 @ (binDag476092410e_Node @ X0 @ X1 @ X2))) = X2)) )),
% 1.97/0.76 inference(forward_subsumption_resolution,[],[f2626,f1634])).
% 1.97/0.76 thf(f2971,plain,(
% 1.97/0.76 (rt = ((sK8 @ lt))) | ~spl40_36),
% 1.97/0.76 inference(superposition,[],[f2627,f2009])).
% 1.97/0.76 thf(f2988,definition,(
% 1.97/0.76 spl40_126 <=> (rt = ((sK8 @ lt)))),
% 1.97/0.76 introduced(definition,[new_symbols(definition,[spl40_126])],[avatar_definition])).
% 1.97/0.76 thf(f2990,plain,(
% 1.97/0.76 (rt = ((sK8 @ lt))) | ~spl40_126),
% 1.97/0.76 inference(avatar_component_clause,[],[f2988])).
% 1.97/0.76 thf(f2991,plain,(
% 1.97/0.76 spl40_126 | ~spl40_36),
% 1.97/0.76 inference(avatar_split_clause,[],[f2971,f2007,f2988])).
% 1.97/0.76 thf(f4989,plain,(
% 1.97/0.76 (((size_size @ binDag_Mirabelle_dag @ lt)) = ((suc @ (plus_plus @ nat @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ lt) @ (size_size @ binDag_Mirabelle_dag @ rt)) @ zero_zero @ nat)))) | ~spl40_117),
% 1.97/0.76 inference(superposition,[],[f1705,f2446])).
% 1.97/0.76 thf(f5011,plain,(
% 1.97/0.76 ( ! [X0 : nat,X1 : nat] : ((((suc @ (plus_plus @ nat @ X0 @ X1))) != X0) | (zero_zero @ nat = ((suc @ X1)))) )),
% 1.97/0.76 inference(superposition,[],[f1606,f1705])).
% 1.97/0.76 thf(f5028,plain,(
% 1.97/0.76 (((suc @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ lt) @ (size_size @ binDag_Mirabelle_dag @ rt)))) = ((size_size @ binDag_Mirabelle_dag @ lt))) | ~spl40_117),
% 1.97/0.76 inference(forward_demodulation,[],[f4989,f1545])).
% 1.97/0.76 thf(f5038,plain,(
% 1.97/0.76 ( ! [X0 : nat,X1 : nat] : ((((suc @ (plus_plus @ nat @ X0 @ X1))) != X0)) )),
% 1.97/0.76 inference(forward_subsumption_resolution,[],[f5011,f1283])).
% 1.97/0.76 thf(f5040,plain,(
% 1.97/0.76 (((suc @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ lt) @ (size_size @ binDag_Mirabelle_dag @ (sK8 @ lt))))) = ((size_size @ binDag_Mirabelle_dag @ lt))) | (~spl40_117 | ~spl40_126)),
% 1.97/0.76 inference(forward_demodulation,[],[f5028,f2990])).
% 1.97/0.76 thf(f5045,definition,(
% 1.97/0.76 spl40_160 <=> (((suc @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ lt) @ (size_size @ binDag_Mirabelle_dag @ (sK8 @ lt))))) = ((size_size @ binDag_Mirabelle_dag @ lt)))),
% 1.97/0.76 introduced(definition,[new_symbols(definition,[spl40_160])],[avatar_definition])).
% 1.97/0.76 thf(f5047,plain,(
% 1.97/0.76 (((suc @ (plus_plus @ nat @ (size_size @ binDag_Mirabelle_dag @ lt) @ (size_size @ binDag_Mirabelle_dag @ (sK8 @ lt))))) = ((size_size @ binDag_Mirabelle_dag @ lt))) | ~spl40_160),
% 1.97/0.76 inference(avatar_component_clause,[],[f5045])).
% 1.97/0.76 thf(f5048,plain,(
% 1.97/0.76 spl40_160 | ~spl40_117 | ~spl40_126),
% 1.97/0.76 inference(avatar_split_clause,[],[f5040,f2988,f2444,f5045])).
% 1.97/0.76 thf(f6163,plain,(
% 1.97/0.76 (((size_size @ binDag_Mirabelle_dag @ lt)) != ((size_size @ binDag_Mirabelle_dag @ lt))) | ~spl40_160),
% 1.97/0.76 inference(superposition,[],[f5038,f5047])).
% 1.97/0.76 thf(f6168,plain,(
% 1.97/0.76 $false | ~spl40_160),
% 1.97/0.76 inference(trivial_inequality_removal,[],[f6163])).
% 1.97/0.76 thf(f6169,plain,(
% 1.97/0.76 ~spl40_160),
% 1.97/0.76 inference(avatar_contradiction_clause,[],[f6168])).
% 1.97/0.76 cnf(s35, plain, spl40_36, inference(sat_conversion,[],[f2010])).
% 1.97/0.76 cnf(s118, plain, ~spl40_36 | spl40_117, inference(sat_conversion,[],[f2447])).
% 1.97/0.76 cnf(s126, plain, ~spl40_36 | spl40_126, inference(sat_conversion,[],[f2991])).
% 1.97/0.76 cnf(s190, plain, ~spl40_117 | ~spl40_126 | spl40_160, inference(sat_conversion,[],[f5048])).
% 1.97/0.76 cnf(s207, plain, ~spl40_160, inference(sat_conversion,[],[f6169])).
% 1.97/0.76 cnf(s211, plain, ~spl40_117 | ~spl40_126, inference(rat,[],[s190,s207])).
% 1.97/0.76 cnf(s214, plain, spl40_126, inference(rat,[],[s126,s35])).
% 1.97/0.76 cnf(s216, plain, spl40_117, inference(rat,[],[s118,s35])).
% 1.97/0.76 cnf(s219, plain, $false, inference(rat,[],[s211,s214,s216])).
% 1.97/0.76 thf(f6182,plain,(
% 1.97/0.76 $false),
% 1.97/0.76 inference(avatar_sat_refutation,[],[s219])).
% 1.97/0.76 % SZS output end Proof for theBenchmark
% 1.97/0.76 % (1082140)------------------------------
% 1.97/0.76 % (1082140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.76 % (1082140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.76 % (1082140)CaDiCaL version: 2.1.3
% 1.97/0.76 % (1082140)Termination reason: Refutation
% 1.97/0.76 % (1082140)Time elapsed: 0.287 s
% 1.97/0.76 % (1082140)Peak memory usage: 16 MB
% 1.97/0.76 % (1082140)Instructions burned: 545 (million)
% 1.97/0.76 % (1082132)Success in time 0.346 s
% 1.97/0.76 % Vampire exiting
%------------------------------------------------------------------------------