%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP172^2 : 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 : n014.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 08:08:40 AM UTC 2026
% Result : Theorem 1.14s 0.48s
% Output : Refutation 1.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP172^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n014.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Sep 29 20:05:30 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running higher-order theorem proving
% 0.25/0.30 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
% 0.32/0.44 % (3148285)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.44 % (3148301)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3093865341:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.44 % (3148308)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.44 % (3148308)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
% 0.32/0.44 % (3148302)lrs+10_16_si=on:nwc=1.5:random_seed=3963145736:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.44 % (3148304)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1803935123:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.44 % (3148305)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=2169320131: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)
% 0.32/0.44 % (3148307)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=575741267:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.44 % (3148306)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4240250410:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.44 % (3148308)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=4263450709:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.44 % (3148304)Instruction limit reached!
% 0.32/0.44 % (3148304)------------------------------
% 0.32/0.44 % (3148304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3148304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3148304)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3148304)Termination reason: Instruction limit
% 0.32/0.44 % (3148304)Termination phase: shuffling
% 0.32/0.44 % (3148304)Time elapsed: 0.002 s
% 0.32/0.44 % (3148304)Peak memory usage: 10 MB
% 0.32/0.44 % (3148304)Instructions burned: 3 (million)
% 0.32/0.44 % (3148302)Instruction limit reached!
% 0.32/0.44 % (3148302)------------------------------
% 0.32/0.44 % (3148302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3148302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3148302)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3148302)Termination reason: Instruction limit
% 0.32/0.44 % (3148302)Termination phase: Property scanning
% 0.32/0.44 % (3148302)Time elapsed: 0.010 s
% 0.32/0.44 % (3148302)Peak memory usage: 10 MB
% 0.32/0.44 % (3148302)Instructions burned: 19 (million)
% 0.32/0.44 % (3148306)Instruction limit reached!
% 0.32/0.44 % (3148306)------------------------------
% 0.32/0.44 % (3148306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3148306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3148306)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3148306)Termination reason: Instruction limit
% 0.32/0.44 % (3148306)Termination phase: Preprocessing 1
% 0.32/0.44 % (3148306)Time elapsed: 0.012 s
% 0.32/0.44 % (3148306)Peak memory usage: 10 MB
% 0.32/0.44 % (3148306)Instructions burned: 25 (million)
% 0.32/0.44 % (3148301)Instruction limit reached!
% 0.32/0.44 % (3148301)------------------------------
% 0.32/0.44 % (3148301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3148301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3148301)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3148301)Termination reason: Instruction limit
% 0.32/0.44 % (3148301)Termination phase: Property scanning
% 0.32/0.44 % (3148301)Time elapsed: 0.023 s
% 0.32/0.44 % (3148301)Peak memory usage: 12 MB
% 0.32/0.44 % (3148301)Instructions burned: 89 (million)
% 0.32/0.44 % (3148329)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=149471936:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.44 % (3148329)Instruction limit reached!
% 0.32/0.44 % (3148329)------------------------------
% 0.32/0.44 % (3148329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.47 % (3148329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.47 % (3148329)CaDiCaL version: 2.1.3
% 1.14/0.47 % (3148329)Termination reason: Instruction limit
% 1.14/0.47 % (3148329)Termination phase: shuffling
% 1.14/0.47 % (3148329)Time elapsed: 0.002 s
% 1.14/0.47 % (3148329)Peak memory usage: 10 MB
% 1.14/0.47 % (3148329)Instructions burned: 3 (million)
% 1.14/0.47 % (3148332)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=974222719:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.14/0.47 % (3148331)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.14/0.47 % (3148330)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3523525061:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.14/0.47 % (3148332)Instruction limit reached!
% 1.14/0.47 % (3148332)------------------------------
% 1.14/0.47 % (3148332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.47 % (3148332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.47 % (3148332)CaDiCaL version: 2.1.3
% 1.14/0.47 % (3148332)Termination reason: Instruction limit
% 1.14/0.47 % (3148332)Termination phase: Property scanning
% 1.14/0.47 % (3148332)Time elapsed: 0.004 s
% 1.14/0.47 % (3148332)Peak memory usage: 10 MB
% 1.14/0.47 % (3148332)Instructions burned: 15 (million)
% 1.14/0.47 % (3148331)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3860507581:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.14/0.47 % (3148330)Instruction limit reached!
% 1.14/0.47 % (3148330)------------------------------
% 1.14/0.47 % (3148330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.47 % (3148330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.47 % (3148330)CaDiCaL version: 2.1.3
% 1.14/0.47 % (3148330)Termination reason: Instruction limit
% 1.14/0.47 % (3148330)Termination phase: shuffling
% 1.14/0.47 % (3148330)Time elapsed: 0.003 s
% 1.14/0.47 % (3148330)Peak memory usage: 10 MB
% 1.14/0.47 % (3148330)Instructions burned: 5 (million)
% 1.14/0.47 % (3148331)Instruction limit reached!
% 1.14/0.47 % (3148331)------------------------------
% 1.14/0.47 % (3148331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.47 % (3148331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.47 % (3148331)CaDiCaL version: 2.1.3
% 1.14/0.47 % (3148331)Termination reason: Instruction limit
% 1.14/0.47 % (3148331)Termination phase: shuffling
% 1.14/0.47 % (3148331)Time elapsed: 0.004 s
% 1.14/0.47 % (3148331)Peak memory usage: 10 MB
% 1.14/0.47 % (3148331)Instructions burned: 7 (million)
% 1.14/0.47 % (3148307)Instruction limit reached!
% 1.14/0.47 % (3148307)------------------------------
% 1.14/0.47 % (3148307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.47 % (3148307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.47 % (3148307)CaDiCaL version: 2.1.3
% 1.14/0.47 % (3148307)Termination reason: Instruction limit
% 1.14/0.47 % (3148307)Termination phase: Property scanning
% 1.14/0.47 % (3148307)Time elapsed: 0.038 s
% 1.14/0.47 % (3148307)Peak memory usage: 12 MB
% 1.14/0.47 % (3148307)Instructions burned: 76 (million)
% 1.14/0.47 % (3148340)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
% 1.14/0.47 % (3148340)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.14/0.47 % (3148343)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=851281177:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.14/0.47 % (3148340)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1021585646:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.14/0.47 % (3148345)lrs+10_1_si=on:cs=on:random_seed=321591323:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.14/0.47 % (3148346)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.14/0.48 % (3148346)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=132558382:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.14/0.48 % (3148345)Instruction limit reached!
% 1.14/0.48 % (3148345)------------------------------
% 1.14/0.48 % (3148345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148345)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148345)Termination reason: Instruction limit
% 1.14/0.48 % (3148345)Termination phase: shuffling
% 1.14/0.48 % (3148345)Time elapsed: 0.005 s
% 1.14/0.48 % (3148345)Peak memory usage: 10 MB
% 1.14/0.48 % (3148345)Instructions burned: 10 (million)
% 1.14/0.48 % (3148340)Instruction limit reached!
% 1.14/0.48 % (3148340)------------------------------
% 1.14/0.48 % (3148340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148340)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148340)Termination reason: Instruction limit
% 1.14/0.48 % (3148340)Termination phase: shuffling
% 1.14/0.48 % (3148340)Time elapsed: 0.014 s
% 1.14/0.48 % (3148340)Peak memory usage: 11 MB
% 1.14/0.48 % (3148340)Instructions burned: 29 (million)
% 1.14/0.48 % (3148349)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4022337048:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.14/0.48 % (3148346)Instruction limit reached!
% 1.14/0.48 % (3148346)------------------------------
% 1.14/0.48 % (3148346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148346)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148346)Termination reason: Instruction limit
% 1.14/0.48 % (3148346)Termination phase: shuffling
% 1.14/0.48 % (3148346)Time elapsed: 0.002 s
% 1.14/0.48 % (3148346)Peak memory usage: 10 MB
% 1.14/0.48 % (3148346)Instructions burned: 3 (million)
% 1.14/0.48 % (3148343)Instruction limit reached!
% 1.14/0.48 % (3148343)------------------------------
% 1.14/0.48 % (3148343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148343)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148343)Termination reason: Instruction limit
% 1.14/0.48 % (3148343)Termination phase: Preprocessing 1
% 1.14/0.48 % (3148343)Time elapsed: 0.022 s
% 1.14/0.48 % (3148343)Peak memory usage: 11 MB
% 1.14/0.48 % (3148343)Instructions burned: 91 (million)
% 1.14/0.48 % (3148363)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1164137521:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.14/0.48 % (3148360)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1694086799:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.14/0.48 % (3148359)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=250054642:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.14/0.48 % (3148361)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=760917242:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.14/0.48 % (3148349)Instruction limit reached!
% 1.14/0.48 % (3148349)------------------------------
% 1.14/0.48 % (3148349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148349)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148349)Termination reason: Instruction limit
% 1.14/0.48 % (3148349)Termination phase: Preprocessing 3
% 1.14/0.48 % (3148349)Time elapsed: 0.020 s
% 1.14/0.48 % (3148349)Peak memory usage: 11 MB
% 1.14/0.48 % (3148349)Instructions burned: 40 (million)
% 1.14/0.48 % (3148308)Instruction limit reached!
% 1.14/0.48 % (3148308)------------------------------
% 1.14/0.48 % (3148308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148308)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148308)Termination reason: Instruction limit
% 1.14/0.48 % (3148308)Termination phase: Saturation
% 1.14/0.48 % (3148308)Time elapsed: 0.082 s
% 1.14/0.48 % (3148308)Peak memory usage: 14 MB
% 1.14/0.48 % (3148308)Instructions burned: 163 (million)
% 1.14/0.48 % (3148361)Instruction limit reached!
% 1.14/0.48 % (3148361)------------------------------
% 1.14/0.48 % (3148361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148361)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148361)Termination reason: Instruction limit
% 1.14/0.48 % (3148361)Termination phase: shuffling
% 1.14/0.48 % (3148361)Time elapsed: 0.007 s
% 1.14/0.48 % (3148361)Peak memory usage: 10 MB
% 1.14/0.48 % (3148361)Instructions burned: 14 (million)
% 1.14/0.48 % (3148360)Instruction limit reached!
% 1.14/0.48 % (3148360)------------------------------
% 1.14/0.48 % (3148360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148360)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148360)Termination reason: Instruction limit
% 1.14/0.48 % (3148360)Termination phase: SInE selection
% 1.14/0.48 % (3148360)Time elapsed: 0.013 s
% 1.14/0.48 % (3148360)Peak memory usage: 11 MB
% 1.14/0.48 % (3148360)Instructions burned: 27 (million)
% 1.14/0.48 % (3148376)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3464167378:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.14/0.48 % (3148379)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1322374692: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)
% 1.14/0.48 % (3148381)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=455922989:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.14/0.48 % (3148379)Instruction limit reached!
% 1.14/0.48 % (3148379)------------------------------
% 1.14/0.48 % (3148379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148379)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148379)Termination reason: Instruction limit
% 1.14/0.48 % (3148379)Termination phase: shuffling
% 1.14/0.48 % (3148379)Time elapsed: 0.003 s
% 1.14/0.48 % (3148379)Peak memory usage: 10 MB
% 1.14/0.48 % (3148379)Instructions burned: 5 (million)
% 1.14/0.48 % (3148376)Instruction limit reached!
% 1.14/0.48 % (3148376)------------------------------
% 1.14/0.48 % (3148376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148376)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148376)Termination reason: Instruction limit
% 1.14/0.48 % (3148376)Termination phase: Property scanning
% 1.14/0.48 % (3148376)Time elapsed: 0.008 s
% 1.14/0.48 % (3148376)Peak memory usage: 10 MB
% 1.14/0.48 % (3148376)Instructions burned: 16 (million)
% 1.14/0.48 % (3148382)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=321358501:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.14/0.48 % (3148381)Instruction limit reached!
% 1.14/0.48 % (3148381)------------------------------
% 1.14/0.48 % (3148381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148381)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148381)Termination reason: Instruction limit
% 1.14/0.48 % (3148381)Termination phase: shuffling
% 1.14/0.48 % (3148381)Time elapsed: 0.013 s
% 1.14/0.48 % (3148381)Peak memory usage: 10 MB
% 1.14/0.48 % (3148381)Instructions burned: 26 (million)
% 1.14/0.48 % (3148382)Instruction limit reached!
% 1.14/0.48 % (3148382)------------------------------
% 1.14/0.48 % (3148382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148382)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148382)Termination reason: Instruction limit
% 1.14/0.48 % (3148382)Termination phase: Property scanning
% 1.14/0.48 % (3148382)Time elapsed: 0.012 s
% 1.14/0.48 % (3148382)Peak memory usage: 10 MB
% 1.14/0.48 % (3148382)Instructions burned: 25 (million)
% 1.14/0.48 % (3148359) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3148285-3148359"...
% 1.14/0.48 % (3148390)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
% 1.14/0.48 % (3148390)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.14/0.48 % (3148389)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2466326099:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.14/0.48 % (3148390)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=1296183582:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.14/0.48 % (3148359)...printing done.
% 1.14/0.48 % (3148359)Refutation found. Thanks to Tanya!
% 1.14/0.48 % SZS status Theorem for theBenchmark
% 1.14/0.48 % SZS output start Proof for theBenchmark
% 1.14/0.48 thf(type_def_5, type, rCharacterData_ext: $tType > $tType).
% 1.14/0.48 thf(type_def_6, type, rShadowRoot_ext: ($tType * $tType * $tType * $tType) > $tType).
% 1.14/0.48 thf(type_def_7, type, character_data_ptr: $tType > $tType).
% 1.14/0.48 thf(type_def_8, type, rDocument_ext: ($tType * $tType * $tType * $tType) > $tType).
% 1.14/0.48 thf(type_def_9, type, rElement_ext: ($tType * $tType * $tType * $tType * $tType) > $tType).
% 1.14/0.48 thf(type_def_10, type, shadow_root_ptr: $tType > $tType).
% 1.14/0.48 thf(type_def_11, type, rObject_ext: $tType > $tType).
% 1.14/0.48 thf(type_def_12, type, document_ptr: $tType > $tType).
% 1.14/0.48 thf(type_def_13, type, rNode_ext: $tType > $tType).
% 1.14/0.48 thf(type_def_14, type, element_ptr: $tType > $tType).
% 1.14/0.48 thf(type_def_15, type, object_ptr: $tType > $tType).
% 1.14/0.48 thf(type_def_16, type, heap_Error_prog: ($tType * $tType * $tType) > $tType).
% 1.14/0.48 thf(type_def_17, type, node_ptr: $tType > $tType).
% 1.14/0.48 thf(type_def_18, type, product_unit: $tType).
% 1.14/0.48 thf(type_def_19, type, product_prod: ($tType * $tType) > $tType).
% 1.14/0.48 thf(type_def_20, type, heap: ($tType * $tType) > $tType).
% 1.14/0.48 thf(type_def_21, type, sum_sum: ($tType * $tType) > $tType).
% 1.14/0.48 thf(type_def_22, type, option: $tType > $tType).
% 1.14/0.48 thf(type_def_23, type, char: $tType).
% 1.14/0.48 thf(type_def_24, type, list: $tType > $tType).
% 1.14/0.48 thf(type_def_25, type, fset: $tType > $tType).
% 1.14/0.48 thf(type_def_26, type, set: $tType > $tType).
% 1.14/0.48 thf(type_def_27, type, nat: $tType).
% 1.14/0.48 thf(type_def_28, type, l: $tType).
% 1.14/0.48 thf(type_def_29, type, k: $tType).
% 1.14/0.48 thf(type_def_30, type, j: $tType).
% 1.14/0.48 thf(type_def_31, type, i: $tType).
% 1.14/0.48 thf(type_def_32, type, h: $tType).
% 1.14/0.48 thf(type_def_33, type, g: $tType).
% 1.14/0.48 thf(type_def_34, type, f: $tType).
% 1.14/0.48 thf(type_def_35, type, e: $tType).
% 1.14/0.48 thf(type_def_36, type, d: $tType).
% 1.14/0.48 thf(type_def_37, type, c: $tType).
% 1.14/0.48 thf(type_def_38, type, b: $tType).
% 1.14/0.48 thf(type_def_39, type, a: $tType).
% 1.14/0.48 thf(type_def_40, type, sTfun: ($tType * $tType) > $tType).
% 1.14/0.48 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_3, type, bot: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_4, type, ord: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_5, type, group_add: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_6, type, monoid_add: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_8, type, semigroup_add: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_9, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_10, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_11, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_12, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_13, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_14, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_15, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_16, type, semiri456707255roduct: !>[X0: $tType]:($o)).
% 1.14/0.48 thf(func_def_17, type, rDocument_ext2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_unit > list @ char > option @ element_ptr @ X0 > list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 > X3 > rDocument_ext @ X2 @ X0 @ X1 @ X3))).
% 1.14/0.48 thf(func_def_18, type, disconnected_nodes: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > list @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X2 @ X0))).
% 1.14/0.48 thf(func_def_19, type, discon1635973971update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 > list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2) > rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3 > rObject_ext @ rDocument_ext @ X2 @ X0 @ X1 @ X3))).
% 1.14/0.48 thf(func_def_20, type, doctype: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > list @ char))).
% 1.14/0.48 thf(func_def_21, type, doctype_update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ char > list @ char) > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3))).
% 1.14/0.48 thf(func_def_22, type, document_element: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > option @ element_ptr @ X1))).
% 1.14/0.48 thf(func_def_23, type, docume446011358update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((option @ element_ptr @ X0 > option @ element_ptr @ X0) > rObject_ext @ rDocument_ext @ X1 @ X0 @ X2 @ X3 > rObject_ext @ rDocument_ext @ X1 @ X0 @ X2 @ X3))).
% 1.14/0.48 thf(func_def_24, type, more: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > X3))).
% 1.14/0.48 thf(func_def_25, type, more_update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X0) > rObject_ext @ rDocument_ext @ X1 @ X2 @ X3 @ X0 > rObject_ext @ rDocument_ext @ X1 @ X2 @ X3 @ X0))).
% 1.14/0.48 thf(func_def_26, type, nothing: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > product_unit))).
% 1.14/0.48 thf(func_def_27, type, nothing_update: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_unit > product_unit) > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3 > rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ X3))).
% 1.14/0.48 thf(func_def_28, type, cast_D42511940_e_c_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X3 > rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X0 @ X1 @ X2 @ X4 @ option @ X5 @ sum_sum @ rCharacterData_ext @ option @ X6 @ X7 @ sum_sum @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X3 @ X8))).
% 1.14/0.48 thf(func_def_29, type, cast_O1159777348_e_n_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:((rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X0 @ X1 @ X2 @ X3 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X5 @ X6 @ sum_sum @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X7 @ X8 > option @ rObject_ext @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X7))).
% 1.14/0.48 thf(func_def_30, type, document_ptrs: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType]:((heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X3 @ X4 @ X5 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X0 @ X1 @ X3 @ option @ X6 @ sum_sum @ rCharacterData_ext @ option @ X7 @ X8 @ sum_sum @ rDocument_ext @ X2 @ X0 @ X1 @ option @ X9 @ X10 > fset @ document_ptr @ sum_sum @ shadow_root_ptr @ X3 @ X4))).
% 1.14/0.48 thf(func_def_31, type, get_D_o_c_u_m_e_n_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType]:((document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 > heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X2 @ sum_sum @ character_data_ptr @ X3 @ X4 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 @ X5 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X4 @ X2 @ X3 @ X0 @ option @ X6 @ sum_sum @ rCharacterData_ext @ option @ X7 @ X8 @ sum_sum @ rDocument_ext @ X4 @ X2 @ X3 @ option @ X9 @ X10 > option @ rObject_ext @ rDocument_ext @ X4 @ X2 @ X3 @ option @ X9))).
% 1.14/0.48 thf(func_def_32, type, is_document_kind: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType]:((rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X0 @ X1 @ X2 @ X3 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X5 @ X6 @ sum_sum @ rDocument_ext @ X0 @ X1 @ X2 @ option @ X7 @ X8 > $o))).
% 1.14/0.48 thf(func_def_33, type, put_D_o_c_u_m_e_n_t: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType]:((document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 > rObject_ext @ rDocument_ext @ X2 @ X3 @ X4 @ option @ X5 > heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X3 @ sum_sum @ character_data_ptr @ X4 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 @ X6 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X3 @ X4 @ X0 @ option @ X7 @ sum_sum @ rCharacterData_ext @ option @ X8 @ X9 @ sum_sum @ rDocument_ext @ X2 @ X3 @ X4 @ option @ X5 @ X10 > heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X3 @ sum_sum @ character_data_ptr @ X4 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X0 @ X1 @ X6 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X3 @ X4 @ X0 @ option @ X7 @ sum_sum @ rCharacterData_ext @ option @ X8 @ X9 @ sum_sum @ rDocument_ext @ X2 @ X3 @ X4 @ option @ X5 @ X10))).
% 1.14/0.48 thf(func_def_34, type, cast_d1427782271_p_t_r: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((document_ptr @ X0 > object_ptr @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X1 @ sum_sum @ character_data_ptr @ X2 @ X3 @ sum_sum @ document_ptr @ X0 @ X4))).
% 1.14/0.48 thf(func_def_35, type, cast_o823910367_p_t_r: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((object_ptr @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 @ sum_sum @ document_ptr @ X3 @ X4 > option @ document_ptr @ X3))).
% 1.14/0.48 thf(func_def_36, type, document_Ext: !>[X0: $tType]:((X0 > document_ptr @ X0))).
% 1.14/0.48 thf(func_def_37, type, document_Ref: !>[X0: $tType]:((nat > document_ptr @ X0))).
% 1.14/0.48 thf(func_def_38, type, docume1907984069nt_ptr: !>[X0: $tType]:(((X0 > nat) > document_ptr @ X0 > nat))).
% 1.14/0.48 thf(func_def_39, type, is_doc697300620_p_t_r: !>[X0: $tType]:((document_ptr @ X0 > $o))).
% 1.14/0.48 thf(func_def_40, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.14/0.48 thf(func_def_41, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.14/0.48 thf(func_def_42, type, heap_Error_Prog: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > sum_sum @ X1 @ product_prod @ X2 @ X0) > heap_Error_prog @ X0 @ X1 @ X2))).
% 1.14/0.48 thf(func_def_43, type, heap_Error_size_prog: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > nat) > (X1 > nat) > (X2 > nat) > heap_Error_prog @ X0 @ X1 @ X2 > nat))).
% 1.14/0.48 thf(func_def_44, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.14/0.48 thf(func_def_45, type, count_list: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 1.14/0.48 thf(func_def_46, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 1.14/0.48 thf(func_def_47, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.14/0.48 thf(func_def_48, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.14/0.48 thf(func_def_49, type, nil: !>[X0: $tType]:(list @ X0)).
% 1.14/0.48 thf(func_def_50, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 1.14/0.48 thf(func_def_51, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 1.14/0.48 thf(func_def_52, type, nths: !>[X0: $tType]:((list @ X0 > set @ nat > list @ X0))).
% 1.14/0.48 thf(func_def_53, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.14/0.48 thf(func_def_54, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.14/0.48 thf(func_def_55, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 1.14/0.48 thf(func_def_56, type, suc: (nat > nat)).
% 1.14/0.48 thf(func_def_57, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 1.14/0.48 thf(func_def_58, type, nat_set_decode: (nat > set @ nat)).
% 1.14/0.48 thf(func_def_59, type, nat_set_encode: (set @ nat > nat)).
% 1.14/0.48 thf(func_def_60, type, nat_triangle: (nat > nat)).
% 1.14/0.48 thf(func_def_61, type, rObject_ext2: !>[X0: $tType]:((product_unit > X0 > rObject_ext @ X0))).
% 1.14/0.48 thf(func_def_62, type, extend: !>[X0: $tType]:((rObject_ext @ product_unit > X0 > rObject_ext @ X0))).
% 1.14/0.48 thf(func_def_63, type, more2: !>[X0: $tType]:((rObject_ext @ X0 > X0))).
% 1.14/0.48 thf(func_def_64, type, nothing2: !>[X0: $tType]:((rObject_ext @ X0 > product_unit))).
% 1.14/0.48 thf(func_def_65, type, get_O_b_j_e_c_t: !>[X0: $tType, X1: $tType]:((object_ptr @ X0 > heap @ X0 @ X1 > option @ rObject_ext @ X1))).
% 1.14/0.48 thf(func_def_66, type, put_O_b_j_e_c_t: !>[X0: $tType, X1: $tType]:((object_ptr @ X0 > rObject_ext @ X1 > heap @ X0 @ X1 > heap @ X0 @ X1))).
% 1.14/0.48 thf(func_def_67, type, bind: !>[X0: $tType, X1: $tType]:((option @ X0 > (X0 > option @ X1) > option @ X1))).
% 1.14/0.48 thf(func_def_68, type, none: !>[X0: $tType]:(option @ X0)).
% 1.14/0.48 thf(func_def_69, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 1.14/0.48 thf(func_def_70, type, size_option: !>[X0: $tType]:(((X0 > nat) > option @ X0 > nat))).
% 1.14/0.48 thf(func_def_71, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.14/0.48 thf(func_def_72, type, product_Unity: product_unit).
% 1.14/0.48 thf(func_def_73, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.14/0.48 thf(func_def_74, type, type_wf: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType, X7: $tType, X8: $tType, X9: $tType, X10: $tType, X11: $tType]:((heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X1 @ X2 @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ X3 @ X4 @ X5 @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X2 @ X0 @ X1 @ X3 @ option @ X6 @ sum_sum @ rCharacterData_ext @ option @ X7 @ X8 @ sum_sum @ rDocument_ext @ X2 @ X0 @ X1 @ option @ sum_sum @ rShadowRoot_ext @ X2 @ X0 @ X1 @ option @ X9 @ X10 @ X11 > $o))).
% 1.14/0.48 thf(func_def_75, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.14/0.48 thf(func_def_76, type, h2: heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ d @ e @ f @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ c @ a @ b @ d @ option @ g @ sum_sum @ rCharacterData_ext @ option @ h @ i @ sum_sum @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l).
% 1.14/0.48 thf(func_def_77, type, h3: heap @ sum_sum @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ sum_sum @ document_ptr @ sum_sum @ shadow_root_ptr @ d @ e @ f @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ c @ a @ b @ d @ option @ g @ sum_sum @ rCharacterData_ext @ option @ h @ i @ sum_sum @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l).
% 1.14/0.48 thf(func_def_81, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.14/0.48 thf(func_def_82, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.14/0.48 thf(func_def_83, type, vAND: ($o > $o > $o)).
% 1.14/0.48 thf(func_def_84, type, db0: !>[X0: $tType]:(X0)).
% 1.14/0.48 thf(func_def_85, type, db1: !>[X0: $tType]:(X0)).
% 1.14/0.48 thf(func_def_86, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.14/0.48 thf(func_def_87, type, vOR: ($o > $o > $o)).
% 1.14/0.48 thf(func_def_88, type, vNOT: ($o > $o)).
% 1.14/0.48 thf(func_def_89, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.14/0.48 thf(func_def_90, type, vIMP: ($o > $o > $o)).
% 1.14/0.48 thf(func_def_91, type, sP0: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > $o))).
% 1.14/0.48 thf(func_def_92, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rDocument_ext @ X2 @ X3 @ X1 @ X0 > $o) > list @ char))).
% 1.14/0.48 thf(func_def_93, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rDocument_ext @ X2 @ X3 @ X1 @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_94, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rDocument_ext @ X2 @ X3 @ X1 @ X0 > $o) > option @ element_ptr @ X3))).
% 1.14/0.48 thf(func_def_95, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rDocument_ext @ X2 @ X3 @ X1 @ X0 > $o) > list @ node_ptr @ sum_sum @ element_ptr @ X3 @ sum_sum @ character_data_ptr @ X1 @ X2))).
% 1.14/0.48 thf(func_def_96, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rDocument_ext @ X2 @ X3 @ X1 @ X0 > $o) > product_unit))).
% 1.14/0.48 thf(func_def_97, type, sK6: (rObject_ext @ product_unit > product_unit)).
% 1.14/0.48 thf(func_def_98, type, sK7: !>[X0: $tType]:((list @ X0 > X0))).
% 1.14/0.48 thf(func_def_99, type, sK8: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.14/0.48 thf(func_def_100, type, sK9: !>[X0: $tType]:((list @ X0 > X0))).
% 1.14/0.48 thf(func_def_101, type, sK10: !>[X0: $tType]:((list @ X0 > X0))).
% 1.14/0.48 thf(func_def_102, type, sK11: ((nat > $o) > nat)).
% 1.14/0.48 thf(func_def_103, type, sK12: !>[X0: $tType]:(((rObject_ext @ X0 > $o) > product_unit))).
% 1.14/0.48 thf(func_def_104, type, sK13: !>[X0: $tType]:(((rObject_ext @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_105, type, sK14: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.14/0.48 thf(func_def_106, type, sK15: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.14/0.48 thf(func_def_107, type, sK16: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_108, type, sK17: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_109, type, sK18: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_110, type, sK19: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_111, type, sK20: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.14/0.48 thf(func_def_112, type, sK21: ((nat > $o) > nat)).
% 1.14/0.48 thf(func_def_113, type, sK22: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_114, type, sK23: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.14/0.48 thf(func_def_115, type, sK24: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_116, type, sK25: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.14/0.48 thf(func_def_117, type, sK26: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_118, type, sK27: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat > X0))).
% 1.14/0.48 thf(func_def_119, type, sK28: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_120, type, sK29: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat))).
% 1.14/0.48 thf(func_def_121, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType]:(((rObject_ext @ rDocument_ext @ X1 @ X2 @ X0 @ product_unit > $o) > product_unit))).
% 1.14/0.48 thf(func_def_122, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType]:(((rObject_ext @ rDocument_ext @ X1 @ X2 @ X0 @ product_unit > $o) > list @ node_ptr @ sum_sum @ element_ptr @ X2 @ sum_sum @ character_data_ptr @ X0 @ X1))).
% 1.14/0.48 thf(func_def_123, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType]:(((rObject_ext @ rDocument_ext @ X1 @ X2 @ X0 @ product_unit > $o) > product_unit))).
% 1.14/0.48 thf(func_def_124, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType]:(((rObject_ext @ rDocument_ext @ X1 @ X2 @ X0 @ product_unit > $o) > option @ element_ptr @ X2))).
% 1.14/0.48 thf(func_def_125, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType]:(((rObject_ext @ rDocument_ext @ X1 @ X2 @ X0 @ product_unit > $o) > list @ char))).
% 1.14/0.48 thf(func_def_126, type, sK35: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.14/0.48 thf(func_def_127, type, sK36: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 1.14/0.48 thf(func_def_128, type, sK37: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_129, type, sK38: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_130, type, sK39: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_131, type, sK40: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.14/0.48 thf(func_def_132, type, sK41: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_133, type, sK42: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 1.14/0.48 thf(func_def_134, type, sK43: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_135, type, sK44: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_136, type, sK45: ((rObject_ext @ product_unit > $o) > product_unit)).
% 1.14/0.48 thf(func_def_137, type, sK46: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_138, type, sK47: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_139, type, sK48: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_140, type, sK49: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X1))).
% 1.14/0.48 thf(func_def_141, type, sK50: !>[X0: $tType, X1: $tType]:(((option @ X1 > option @ X0 > $o) > option @ X1 > option @ X0 > X0))).
% 1.14/0.48 thf(func_def_142, type, sK51: (nat > nat)).
% 1.14/0.48 thf(func_def_143, type, sK52: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_144, type, sK53: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_145, type, sK54: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_146, type, sK55: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_147, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X1 @ X0 @ X3 @ X2 > $o) > list @ char))).
% 1.14/0.48 thf(func_def_148, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X1 @ X0 @ X3 @ X2 > $o) > option @ element_ptr @ X0))).
% 1.14/0.48 thf(func_def_149, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X1 @ X0 @ X3 @ X2 > $o) > list @ node_ptr @ sum_sum @ element_ptr @ X0 @ sum_sum @ character_data_ptr @ X3 @ X1))).
% 1.14/0.48 thf(func_def_150, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X1 @ X0 @ X3 @ X2 > $o) > X2))).
% 1.14/0.48 thf(func_def_151, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X1 @ X0 @ X3 @ X2 > $o) > product_unit))).
% 1.14/0.48 thf(func_def_152, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((rObject_ext @ rDocument_ext @ X1 @ X0 @ X3 @ X2 > $o) > product_unit))).
% 1.14/0.48 thf(func_def_153, type, sK62: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.14/0.48 thf(func_def_154, type, sK63: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 1.14/0.48 thf(func_def_155, type, sK64: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 1.14/0.48 thf(func_def_156, type, sK65: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.14/0.48 thf(func_def_157, type, sK66: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.14/0.48 thf(func_def_158, type, sK67: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1 > X0))).
% 1.14/0.48 thf(func_def_159, type, sK68: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_160, type, sK69: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1))).
% 1.14/0.48 thf(func_def_161, type, sK70: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1 > X0))).
% 1.14/0.48 thf(func_def_162, type, sK71: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_163, type, sK72: ((nat > nat > $o) > nat)).
% 1.14/0.48 thf(func_def_164, type, sK73: ((nat > nat > $o) > nat)).
% 1.14/0.48 thf(func_def_165, type, sK74: ((nat > nat > $o) > nat)).
% 1.14/0.48 thf(func_def_166, type, sK75: ((nat > nat > $o) > nat)).
% 1.14/0.48 thf(func_def_167, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X2 @ X1 @ product_unit > product_unit))).
% 1.14/0.48 thf(func_def_168, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X2 @ X1 @ product_unit > product_unit))).
% 1.14/0.48 thf(func_def_169, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X2 @ X1 @ product_unit > list @ char))).
% 1.14/0.48 thf(func_def_170, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X2 @ X1 @ product_unit > list @ node_ptr @ sum_sum @ element_ptr @ X2 @ sum_sum @ character_data_ptr @ X1 @ X0))).
% 1.14/0.48 thf(func_def_171, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType]:((rObject_ext @ rDocument_ext @ X0 @ X2 @ X1 @ product_unit > option @ element_ptr @ X2))).
% 1.14/0.48 thf(func_def_172, type, sK81: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_173, type, sK82: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_174, type, sK83: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_175, type, sK84: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_176, type, sK85: !>[X0: $tType]:((option @ X0 > X0))).
% 1.14/0.48 thf(func_def_177, type, sK86: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_178, type, sK87: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_179, type, sK88: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_180, type, sK89: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_181, type, sK90: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_182, type, sK91: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_183, type, sK92: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.14/0.48 thf(func_def_184, type, sK93: (nat > nat)).
% 1.14/0.48 thf(func_def_185, type, sK94: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.14/0.48 thf(func_def_186, type, sK95: !>[X0: $tType]:((list @ X0 > X0))).
% 1.14/0.48 thf(func_def_187, type, sK96: !>[X0: $tType]:((document_ptr @ X0 > X0))).
% 1.14/0.48 thf(func_def_188, type, sK97: !>[X0: $tType]:((document_ptr @ X0 > nat))).
% 1.14/0.48 thf(func_def_189, type, sK98: ((nat > $o) > nat)).
% 1.14/0.48 thf(func_def_190, type, sK99: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_191, type, sK100: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.14/0.48 thf(func_def_192, type, sK101: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_193, type, sK102: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_194, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X1 @ X3 @ X2 @ X0 > list @ char))).
% 1.14/0.48 thf(func_def_195, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X1 @ X3 @ X2 @ X0 > list @ node_ptr @ sum_sum @ element_ptr @ X3 @ sum_sum @ character_data_ptr @ X2 @ X1))).
% 1.14/0.48 thf(func_def_196, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X1 @ X3 @ X2 @ X0 > product_unit))).
% 1.14/0.48 thf(func_def_197, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X1 @ X3 @ X2 @ X0 > product_unit))).
% 1.14/0.48 thf(func_def_198, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X1 @ X3 @ X2 @ X0 > option @ element_ptr @ X3))).
% 1.14/0.48 thf(func_def_199, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((rObject_ext @ rDocument_ext @ X1 @ X3 @ X2 @ X0 > X0))).
% 1.14/0.48 thf(func_def_200, type, sK109: (nat > nat)).
% 1.14/0.48 thf(func_def_201, type, sK110: ((nat > nat > $o) > nat)).
% 1.14/0.48 thf(func_def_202, type, sK111: ((nat > nat > $o) > nat)).
% 1.14/0.48 thf(func_def_203, type, sK112: ((nat > nat > $o) > nat)).
% 1.14/0.48 thf(func_def_204, type, sK113: ((nat > nat > $o) > nat)).
% 1.14/0.48 thf(func_def_205, type, sK114: ((nat > nat > $o) > nat)).
% 1.14/0.48 thf(func_def_206, type, sK115: !>[X0: $tType]:(((document_ptr @ X0 > $o) > nat))).
% 1.14/0.48 thf(func_def_207, type, sK116: !>[X0: $tType]:(((document_ptr @ X0 > $o) > X0))).
% 1.14/0.48 thf(func_def_208, type, sK117: ((nat > $o) > nat)).
% 1.14/0.48 thf(func_def_209, type, sK118: !>[X0: $tType]:((rObject_ext @ X0 > X0))).
% 1.14/0.48 thf(func_def_210, type, sK119: !>[X0: $tType]:((rObject_ext @ X0 > product_unit))).
% 1.14/0.48 thf(f94,axiom,(
% 1.14/0.48 ! [X3 : $tType,X8 : $tType,X6 : $tType,X0 : $tType,X4 : $tType,X2 : $tType,X5 : $tType,X1 : $tType,X7 : $tType] : ((^[X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X8 @ X7 @ X6 @ X5 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X3 @ X2 @ sum_sum @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1 @ X0] : ((((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != none @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X1))) = is_document_kind @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)),
% 1.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_is__document__kind__def)).
% 1.14/0.48 thf(f142,axiom,(
% 1.14/0.48 ! [X6 : $tType,X3 : $tType,X1 : $tType,X2 : $tType,X0 : $tType,X7 : $tType,X5 : $tType,X8 : $tType,X4 : $tType,X9 : rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5] : (((cast_O1159777348_e_n_t @ X8 @ X7 @ X6 @ X4 @ X3 @ X2 @ X1 @ X5 @ X0 @ (cast_D42511940_e_c_t @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9))) = ((some @ rObject_ext @ rDocument_ext @ X8 @ X7 @ X6 @ option @ X5 @ X9)))),
% 1.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__inv)).
% 1.14/0.48 thf(f145,axiom,(
% 1.14/0.48 ! [X0 : $tType,X2 : X0,X1 : option @ X0] : ((X1 = ((some @ X0 @ X2))) => (X1 != none @ X0))),
% 1.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_option_OdiscI)).
% 1.14/0.48 thf(f308,conjecture,(
% 1.14/0.48 (is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))),
% 1.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3)).
% 1.14/0.48 thf(f309,negated_conjecture,(
% 1.14/0.48 ~(is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))),
% 1.14/0.48 inference(negated_conjecture,[status(cth)],[f308])).
% 1.14/0.48 thf(f434,plain,(
% 1.14/0.48 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType] : ((^[X9 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X1 @ X8 @ X2 @ X6 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X0 @ X5 @ sum_sum @ rDocument_ext @ X1 @ X8 @ X2 @ option @ X7 @ X3] : ((none @ rObject_ext @ rDocument_ext @ X1 @ X8 @ X2 @ option @ X7 != ((cast_O1159777348_e_n_t @ X1 @ X8 @ X2 @ X6 @ X4 @ X0 @ X5 @ X7 @ X3 @ X9))))) = is_document_kind @ X1 @ X8 @ X2 @ X6 @ X4 @ X0 @ X5 @ X7 @ X3)),
% 1.14/0.48 inference(rectify,[],[f94])).
% 1.14/0.48 thf(f435,plain,(
% 1.14/0.48 ! [X2 : $tType,X3 : $tType,X4 : $tType,X1 : $tType,X8 : $tType,X7 : $tType,X6 : $tType,X0 : $tType,X5 : $tType] : (is_document_kind @ X1 @ X8 @ X2 @ X6 @ X4 @ X0 @ X5 @ X7 @ X3 = (^[Y0 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X1 @ X8 @ X2 @ X6 @ option @ X4 @ sum_sum @ rCharacterData_ext @ option @ X0 @ X5 @ sum_sum @ rDocument_ext @ X1 @ X8 @ X2 @ option @ X7 @ X3]: (~ (none @ rObject_ext @ rDocument_ext @ X1 @ X8 @ X2 @ option @ X7 = (cast_O1159777348_e_n_t @ X1 @ X8 @ X2 @ X6 @ X4 @ X0 @ X5 @ X7 @ X3 @ Y0)))))),
% 1.14/0.48 inference(fool_elimination,[],[f434])).
% 1.14/0.48 thf(f610,plain,(
% 1.14/0.48 ~(is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))),
% 1.14/0.48 inference(rectify,[],[f309])).
% 1.14/0.48 thf(f611,plain,(
% 1.14/0.48 ~ (((is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))) = $true)),
% 1.14/0.48 inference(fool_elimination,[],[f610])).
% 1.14/0.48 thf(f645,plain,(
% 1.14/0.48 (((is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))) != $true)),
% 1.14/0.48 inference(flattening,[],[f611])).
% 1.14/0.48 thf(f650,plain,(
% 1.14/0.48 ! [X3 : $tType,X0 : $tType,X7 : $tType,X1 : $tType,X5 : $tType,X6 : $tType,X2 : $tType,X4 : $tType,X8 : $tType,X9 : rObject_ext @ rDocument_ext @ X7 @ X5 @ X0 @ option @ X6] : (((some @ rObject_ext @ rDocument_ext @ X7 @ X5 @ X0 @ option @ X6 @ X9)) = ((cast_O1159777348_e_n_t @ X7 @ X5 @ X0 @ X8 @ X1 @ X3 @ X2 @ X6 @ X4 @ (cast_D42511940_e_c_t @ X7 @ X5 @ X0 @ X6 @ X8 @ X1 @ X3 @ X2 @ X4 @ X9))))),
% 1.14/0.48 inference(rectify,[],[f142])).
% 1.14/0.48 thf(f667,plain,(
% 1.14/0.48 ! [X0 : $tType,X2 : option @ X0,X1 : X0] : ((((some @ X0 @ X1)) = X2) => (none @ X0 != X2))),
% 1.14/0.48 inference(rectify,[],[f145])).
% 1.14/0.48 thf(f701,plain,(
% 1.14/0.48 ! [X0 : $tType,X2 : option @ X0,X1 : X0] : ((((some @ X0 @ X1)) != X2) | (none @ X0 != X2))),
% 1.14/0.48 inference(ennf_transformation,[],[f667])).
% 1.14/0.48 thf(f767,plain,(
% 1.14/0.48 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType,X9 : rObject_ext @ rDocument_ext @ X2 @ X4 @ X1 @ option @ X5] : (((some @ rObject_ext @ rDocument_ext @ X2 @ X4 @ X1 @ option @ X5 @ X9)) = ((cast_O1159777348_e_n_t @ X2 @ X4 @ X1 @ X8 @ X3 @ X0 @ X6 @ X5 @ X7 @ (cast_D42511940_e_c_t @ X2 @ X4 @ X1 @ X5 @ X8 @ X3 @ X0 @ X6 @ X7 @ X9))))),
% 1.14/0.48 inference(rectify,[],[f650])).
% 1.14/0.48 thf(f809,plain,(
% 1.14/0.48 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : $tType,X7 : $tType,X8 : $tType] : (is_document_kind @ X3 @ X4 @ X0 @ X6 @ X2 @ X7 @ X8 @ X5 @ X1 = (^[Y0 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X3 @ X4 @ X0 @ X6 @ option @ X2 @ sum_sum @ rCharacterData_ext @ option @ X7 @ X8 @ sum_sum @ rDocument_ext @ X3 @ X4 @ X0 @ option @ X5 @ X1]: (~ (none @ rObject_ext @ rDocument_ext @ X3 @ X4 @ X0 @ option @ X5 = (cast_O1159777348_e_n_t @ X3 @ X4 @ X0 @ X6 @ X2 @ X7 @ X8 @ X5 @ X1 @ Y0)))))),
% 1.14/0.48 inference(rectify,[],[f435])).
% 1.14/0.48 thf(f847,plain,(
% 1.14/0.48 ! [X0 : $tType,X1 : option @ X0,X2 : X0] : ((((some @ X0 @ X2)) != X1) | (none @ X0 != X1))),
% 1.14/0.48 inference(rectify,[],[f701])).
% 1.14/0.48 thf(f874,plain,(
% 1.14/0.48 ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X9 : rObject_ext @ rDocument_ext @ X2 @ X4 @ X1 @ option @ X5] : ((((some @ rObject_ext @ rDocument_ext @ X2 @ X4 @ X1 @ option @ X5 @ X9)) = ((cast_O1159777348_e_n_t @ X2 @ X4 @ X1 @ X8 @ X3 @ X0 @ X6 @ X5 @ X7 @ (cast_D42511940_e_c_t @ X2 @ X4 @ X1 @ X5 @ X8 @ X3 @ X0 @ X6 @ X7 @ X9))))) )),
% 1.14/0.48 inference(cnf_transformation,[],[f767])).
% 1.14/0.48 thf(f938,plain,(
% 1.14/0.48 ( ! [X5 : $tType,X4 : $tType,X7 : $tType,X6 : $tType,X8 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType] : ((is_document_kind @ X3 @ X4 @ X0 @ X6 @ X2 @ X7 @ X8 @ X5 @ X1 = (^[Y0 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ X3 @ X4 @ X0 @ X6 @ option @ X2 @ sum_sum @ rCharacterData_ext @ option @ X7 @ X8 @ sum_sum @ rDocument_ext @ X3 @ X4 @ X0 @ option @ X5 @ X1]: (~ (none @ rObject_ext @ rDocument_ext @ X3 @ X4 @ X0 @ option @ X5 = (cast_O1159777348_e_n_t @ X3 @ X4 @ X0 @ X6 @ X2 @ X7 @ X8 @ X5 @ X1 @ Y0)))))) )),
% 1.14/0.48 inference(cnf_transformation,[],[f809])).
% 1.14/0.48 thf(f948,plain,(
% 1.14/0.48 (((is_document_kind @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))) != $true)),
% 1.14/0.48 inference(cnf_transformation,[],[f645])).
% 1.14/0.48 thf(f988,plain,(
% 1.14/0.48 ( ! [X0 : $tType,X2 : X0,X1 : option @ X0] : ((((some @ X0 @ X2)) != X1) | (none @ X0 != X1)) )),
% 1.14/0.48 inference(cnf_transformation,[],[f847])).
% 1.14/0.48 thf(f994,plain,(
% 1.14/0.48 ($true != (((^[Y0 : rObject_ext @ sum_sum @ rNode_ext @ sum_sum @ rElement_ext @ c @ a @ b @ d @ option @ g @ sum_sum @ rCharacterData_ext @ option @ h @ i @ sum_sum @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l]: (~ (none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k = (cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ Y0)))) @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))))),
% 1.14/0.48 inference(definition_unfolding,[],[f948,f938])).
% 1.14/0.48 thf(f1000,plain,(
% 1.14/0.48 ( ! [X0 : $tType,X2 : X0] : ((none @ X0 != ((some @ X0 @ X2)))) )),
% 1.14/0.48 inference(equality_resolution,[],[f988])).
% 1.14/0.48 thf(f1004,plain,(
% 1.14/0.48 ($true != ((~ (none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k = (cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))))))),
% 1.14/0.48 inference(beta-eta_normalization,[],[f994])).
% 1.14/0.48 thf(f1005,plain,(
% 1.14/0.48 ($true = ((none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k = (cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)))))))),
% 1.14/0.48 inference(not_proxy_clausification,[],[f1004])).
% 1.14/0.48 thf(f1006,plain,(
% 1.14/0.48 (((cast_O1159777348_e_n_t @ c @ a @ b @ d @ g @ h @ i @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ l @ (cast_D42511940_e_c_t @ c @ a @ b @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ d @ g @ h @ i @ l @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k))))) = none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)),
% 1.14/0.48 inference(equality_proxy_clausification,[],[f1005])).
% 1.14/0.48 thf(f1007,plain,(
% 1.14/0.48 (none @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k = ((some @ rObject_ext @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ (rObject_ext2 @ rDocument_ext @ c @ a @ b @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ (rDocument_ext2 @ a @ b @ c @ option @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k @ product_Unity @ nil @ char @ none @ element_ptr @ a @ nil @ node_ptr @ sum_sum @ element_ptr @ a @ sum_sum @ character_data_ptr @ b @ c @ none @ sum_sum @ rShadowRoot_ext @ c @ a @ b @ option @ j @ k)))))),
% 1.14/0.48 inference(forward_demodulation,[],[f1006,f874])).
% 1.14/0.48 thf(f1008,plain,(
% 1.14/0.48 $false),
% 1.14/0.48 inference(forward_subsumption_resolution,[],[f1007,f1000])).
% 1.14/0.48 % SZS output end Proof for theBenchmark
% 1.14/0.48 % (3148359)------------------------------
% 1.14/0.48 % (3148359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48 % (3148359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48 % (3148359)CaDiCaL version: 2.1.3
% 1.14/0.48 % (3148359)Termination reason: Refutation
% 1.14/0.48 % (3148359)Time elapsed: 0.048 s
% 1.14/0.48 % (3148359)Peak memory usage: 14 MB
% 1.14/0.48 % (3148359)Instructions burned: 85 (million)
% 1.14/0.48 % (3148285)Success in time 0.171 s
% 1.14/0.48 % Vampire exiting
%------------------------------------------------------------------------------