%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP084^2 : 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 : n015.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 08:08:16 AM UTC 2026
% Result : Theorem 2.27s 0.69s
% Output : Refutation 2.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP084^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n015.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Tue Sep 29 19:53:18 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running higher-order theorem proving
% 0.21/0.27 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
% 0.50/0.42 % (4026647)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.50/0.42 % (4026654)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3415678470:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.50/0.42 % (4026654)Instruction limit reached!
% 0.50/0.42 % (4026654)------------------------------
% 0.50/0.42 % (4026654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (4026654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (4026654)CaDiCaL version: 2.1.3
% 0.50/0.42 % (4026654)Termination reason: Instruction limit
% 0.50/0.42 % (4026654)Termination phase: shuffling
% 0.50/0.42 % (4026654)Time elapsed: 0.002 s
% 0.50/0.42 % (4026654)Peak memory usage: 10 MB
% 0.50/0.42 % (4026654)Instructions burned: 7 (million)
% 0.50/0.42 % (4026658)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.50/0.42 % (4026658)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
% 0.50/0.42 % (4026652)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3651267841:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.50/0.42 % (4026653)lrs+10_16_si=on:nwc=1.5:random_seed=2405865563:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.50/0.42 % (4026655)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=1127986719: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)
% 0.50/0.42 % (4026656)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=843416648:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.50/0.42 % (4026657)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=313780685:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.50/0.42 % (4026658)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=4048809900:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.50/0.42 % (4026660)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=744789343:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.50/0.42 % (4026660)Instruction limit reached!
% 0.50/0.42 % (4026660)------------------------------
% 0.50/0.42 % (4026660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (4026660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (4026660)CaDiCaL version: 2.1.3
% 0.50/0.42 % (4026660)Termination reason: Instruction limit
% 0.50/0.42 % (4026660)Termination phase: shuffling
% 0.50/0.42 % (4026660)Time elapsed: 0.002 s
% 0.50/0.42 % (4026660)Peak memory usage: 10 MB
% 0.50/0.42 % (4026660)Instructions burned: 7 (million)
% 0.50/0.42 % (4026653)Instruction limit reached!
% 0.50/0.42 % (4026653)------------------------------
% 0.50/0.42 % (4026653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (4026653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (4026653)CaDiCaL version: 2.1.3
% 0.50/0.42 % (4026653)Termination reason: Instruction limit
% 0.50/0.42 % (4026653)Termination phase: shuffling
% 0.50/0.42 % (4026653)Time elapsed: 0.011 s
% 0.50/0.42 % (4026653)Peak memory usage: 10 MB
% 0.50/0.42 % (4026653)Instructions burned: 19 (million)
% 0.50/0.42 % (4026656)Instruction limit reached!
% 0.50/0.42 % (4026656)------------------------------
% 0.50/0.42 % (4026656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (4026656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (4026656)CaDiCaL version: 2.1.3
% 0.50/0.42 % (4026656)Termination reason: Instruction limit
% 0.50/0.42 % (4026656)Termination phase: Property scanning
% 0.50/0.42 % (4026656)Time elapsed: 0.012 s
% 0.50/0.42 % (4026656)Peak memory usage: 10 MB
% 0.50/0.42 % (4026656)Instructions burned: 26 (million)
% 0.50/0.42 % (4026668)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1407573411:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.50/0.45 % (4026668)Instruction limit reached!
% 0.50/0.45 % (4026668)------------------------------
% 0.50/0.45 % (4026668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.45 % (4026668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.45 % (4026668)CaDiCaL version: 2.1.3
% 0.50/0.45 % (4026668)Termination reason: Instruction limit
% 0.50/0.45 % (4026668)Termination phase: shuffling
% 0.50/0.45 % (4026668)Time elapsed: 0.002 s
% 0.50/0.45 % (4026668)Peak memory usage: 10 MB
% 0.50/0.45 % (4026668)Instructions burned: 8 (million)
% 0.50/0.45 % (4026669)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.45 % (4026672)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
% 0.50/0.45 % (4026672)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.45 % (4026670)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1942520484:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.50/0.45 % (4026669)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2595880317:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.50/0.45 % (4026672)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1891251052:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.50/0.45 % (4026657)Instruction limit reached!
% 0.50/0.45 % (4026657)------------------------------
% 0.50/0.45 % (4026657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.45 % (4026657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.45 % (4026657)CaDiCaL version: 2.1.3
% 0.50/0.45 % (4026657)Termination reason: Instruction limit
% 0.50/0.45 % (4026657)Termination phase: Property scanning
% 0.50/0.45 % (4026657)Time elapsed: 0.037 s
% 0.50/0.45 % (4026657)Peak memory usage: 12 MB
% 0.50/0.45 % (4026657)Instructions burned: 76 (million)
% 0.50/0.45 % (4026669)Instruction limit reached!
% 0.50/0.45 % (4026669)------------------------------
% 0.50/0.45 % (4026669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.45 % (4026669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.45 % (4026669)CaDiCaL version: 2.1.3
% 0.50/0.45 % (4026669)Termination reason: Instruction limit
% 0.50/0.45 % (4026669)Termination phase: shuffling
% 0.50/0.45 % (4026669)Time elapsed: 0.005 s
% 0.50/0.45 % (4026669)Peak memory usage: 10 MB
% 0.50/0.45 % (4026669)Instructions burned: 8 (million)
% 0.50/0.45 % (4026670)Instruction limit reached!
% 0.50/0.45 % (4026670)------------------------------
% 0.50/0.45 % (4026670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.45 % (4026670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.45 % (4026670)CaDiCaL version: 2.1.3
% 0.50/0.45 % (4026670)Termination reason: Instruction limit
% 0.50/0.45 % (4026670)Termination phase: shuffling
% 0.50/0.45 % (4026670)Time elapsed: 0.007 s
% 0.50/0.45 % (4026670)Peak memory usage: 10 MB
% 0.50/0.45 % (4026670)Instructions burned: 13 (million)
% 0.50/0.45 % (4026652)Instruction limit reached!
% 0.50/0.45 % (4026652)------------------------------
% 0.50/0.45 % (4026652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.45 % (4026652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.45 % (4026672)Instruction limit reached!
% 0.50/0.45 % (4026672)------------------------------
% 0.50/0.45 % (4026672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.45 % (4026652)CaDiCaL version: 2.1.3
% 0.50/0.45 % (4026672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.45 % (4026672)CaDiCaL version: 2.1.3
% 0.50/0.45 % (4026652)Termination reason: Instruction limit
% 0.50/0.45 % (4026652)Termination phase: Function definition elimination
% 0.50/0.45 % (4026652)Time elapsed: 0.042 s
% 0.50/0.45 % (4026672)Termination reason: Instruction limit
% 0.50/0.45 % (4026672)Termination phase: shuffling
% 0.50/0.45 % (4026652)Peak memory usage: 12 MB
% 1.21/0.48 % (4026672)Time elapsed: 0.008 s
% 1.21/0.48 % (4026652)Instructions burned: 89 (million)
% 1.21/0.48 % (4026672)Peak memory usage: 10 MB
% 1.21/0.48 % (4026672)Instructions burned: 31 (million)
% 1.21/0.48 % (4026679)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3801824714:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.21/0.48 % (4026678)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.21/0.48 % (4026677)lrs+10_1_si=on:cs=on:random_seed=1293168212:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.21/0.48 % (4026676)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=4038665920:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.21/0.48 % (4026678)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=3995816125:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.21/0.48 % (4026678)Instruction limit reached!
% 1.21/0.48 % (4026678)------------------------------
% 1.21/0.48 % (4026678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.48 % (4026678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.48 % (4026678)CaDiCaL version: 2.1.3
% 1.21/0.48 % (4026678)Termination reason: Instruction limit
% 1.21/0.48 % (4026678)Termination phase: shuffling
% 1.21/0.48 % (4026678)Time elapsed: 0.002 s
% 1.21/0.48 % (4026678)Peak memory usage: 10 MB
% 1.21/0.48 % (4026678)Instructions burned: 3 (million)
% 1.21/0.48 % (4026677)Instruction limit reached!
% 1.21/0.48 % (4026677)------------------------------
% 1.21/0.48 % (4026677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.48 % (4026677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.48 % (4026677)CaDiCaL version: 2.1.3
% 1.21/0.48 % (4026677)Termination reason: Instruction limit
% 1.21/0.48 % (4026677)Termination phase: shuffling
% 1.21/0.48 % (4026677)Time elapsed: 0.004 s
% 1.21/0.48 % (4026677)Peak memory usage: 10 MB
% 1.21/0.48 % (4026677)Instructions burned: 8 (million)
% 1.21/0.48 % (4026680)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=455055970:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.21/0.48 % (4026679)Instruction limit reached!
% 1.21/0.48 % (4026679)------------------------------
% 1.21/0.48 % (4026679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.48 % (4026679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.48 % (4026679)CaDiCaL version: 2.1.3
% 1.21/0.48 % (4026679)Termination reason: Instruction limit
% 1.21/0.48 % (4026679)Termination phase: Preprocessing 3
% 1.21/0.48 % (4026679)Time elapsed: 0.010 s
% 1.21/0.48 % (4026679)Peak memory usage: 11 MB
% 1.21/0.48 % (4026679)Instructions burned: 38 (million)
% 1.21/0.48 % (4026688)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2751884709:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.21/0.48 % (4026658)Instruction limit reached!
% 1.21/0.48 % (4026658)------------------------------
% 1.21/0.48 % (4026658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.48 % (4026658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.48 % (4026658)CaDiCaL version: 2.1.3
% 1.21/0.48 % (4026658)Termination reason: Instruction limit
% 1.21/0.48 % (4026658)Termination phase: Saturation
% 1.21/0.48 % (4026658)Time elapsed: 0.075 s
% 1.21/0.48 % (4026658)Peak memory usage: 14 MB
% 1.21/0.48 % (4026658)Instructions burned: 157 (million)
% 1.21/0.48 % (4026686)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1786524735:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.21/0.48 % (4026687)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=527730002:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.21/0.48 % (4026687)Instruction limit reached!
% 1.21/0.48 % (4026687)------------------------------
% 1.21/0.48 % (4026687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.48 % (4026687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.51 % (4026687)CaDiCaL version: 2.1.3
% 1.21/0.51 % (4026687)Termination reason: Instruction limit
% 1.21/0.51 % (4026687)Termination phase: shuffling
% 1.21/0.51 % (4026687)Time elapsed: 0.007 s
% 1.21/0.51 % (4026687)Peak memory usage: 10 MB
% 1.21/0.51 % (4026687)Instructions burned: 15 (million)
% 1.21/0.51 % (4026680)Refutation not found, incomplete strategy
% 1.21/0.51 % (4026680)------------------------------
% 1.21/0.51 % (4026680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.51 % (4026680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.51 % (4026680)CaDiCaL version: 2.1.3
% 1.21/0.51 % (4026680)Termination reason: Refutation not found, incomplete strategy
% 1.21/0.51 % (4026680)Time elapsed: 0.027 s
% 1.21/0.51 % (4026680)Peak memory usage: 13 MB
% 1.21/0.51 % (4026680)Instructions burned: 57 (million)
% 1.21/0.51 % (4026680)------------------------------
% 1.21/0.51 % (4026680)------------------------------
% 1.21/0.51 % (4026686)Instruction limit reached!
% 1.21/0.51 % (4026686)------------------------------
% 1.21/0.51 % (4026686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.51 % (4026686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.51 % (4026686)CaDiCaL version: 2.1.3
% 1.21/0.51 % (4026686)Termination reason: Instruction limit
% 1.21/0.51 % (4026686)Termination phase: Property scanning
% 1.21/0.51 % (4026686)Time elapsed: 0.011 s
% 1.21/0.51 % (4026686)Peak memory usage: 10 MB
% 1.21/0.51 % (4026686)Instructions burned: 25 (million)
% 1.21/0.51 % (4026676)Instruction limit reached!
% 1.21/0.51 % (4026676)------------------------------
% 1.21/0.51 % (4026676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.51 % (4026676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.51 % (4026676)CaDiCaL version: 2.1.3
% 1.21/0.51 % (4026676)Termination reason: Instruction limit
% 1.21/0.51 % (4026676)Termination phase: Preprocessing 1
% 1.21/0.51 % (4026676)Time elapsed: 0.036 s
% 1.21/0.51 % (4026676)Peak memory usage: 11 MB
% 1.21/0.51 % (4026676)Instructions burned: 86 (million)
% 1.21/0.51 % (4026690)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1466417056:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.21/0.51 % (4026690)Instruction limit reached!
% 1.21/0.51 % (4026690)------------------------------
% 1.21/0.51 % (4026690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.51 % (4026690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.51 % (4026690)CaDiCaL version: 2.1.3
% 1.21/0.51 % (4026690)Termination reason: Instruction limit
% 1.21/0.51 % (4026690)Termination phase: shuffling
% 1.21/0.51 % (4026690)Time elapsed: 0.009 s
% 1.21/0.51 % (4026690)Peak memory usage: 10 MB
% 1.21/0.51 % (4026690)Instructions burned: 19 (million)
% 1.21/0.51 % (4026693)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=294268188: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)
% 1.21/0.51 % (4026694)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=758483280:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.21/0.51 % (4026695)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=699782060:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.21/0.51 % (4026693)Instruction limit reached!
% 1.21/0.51 % (4026693)------------------------------
% 1.21/0.51 % (4026693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.51 % (4026693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.51 % (4026693)CaDiCaL version: 2.1.3
% 1.21/0.51 % (4026693)Termination reason: Instruction limit
% 1.21/0.51 % (4026693)Termination phase: shuffling
% 1.21/0.51 % (4026693)Time elapsed: 0.002 s
% 1.21/0.51 % (4026693)Peak memory usage: 10 MB
% 1.21/0.51 % (4026693)Instructions burned: 3 (million)
% 1.21/0.51 % (4026696)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=729060422:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.21/0.51 % (4026698)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
% 1.95/0.57 % (4026698)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.95/0.57 % (4026695)Instruction limit reached!
% 1.95/0.57 % (4026695)------------------------------
% 1.95/0.57 % (4026695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.57 % (4026695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.57 % (4026695)CaDiCaL version: 2.1.3
% 1.95/0.57 % (4026695)Termination reason: Instruction limit
% 1.95/0.57 % (4026695)Termination phase: Property scanning
% 1.95/0.57 % (4026695)Time elapsed: 0.011 s
% 1.95/0.57 % (4026695)Peak memory usage: 10 MB
% 1.95/0.57 % (4026695)Instructions burned: 23 (million)
% 1.95/0.57 % (4026694)Instruction limit reached!
% 1.95/0.57 % (4026694)------------------------------
% 1.95/0.57 % (4026694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.57 % (4026694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.57 % (4026694)CaDiCaL version: 2.1.3
% 1.95/0.57 % (4026694)Termination reason: Instruction limit
% 1.95/0.57 % (4026694)Termination phase: shuffling
% 1.95/0.57 % (4026694)Time elapsed: 0.012 s
% 1.95/0.57 % (4026694)Peak memory usage: 10 MB
% 1.95/0.57 % (4026694)Instructions burned: 27 (million)
% 1.95/0.57 % (4026698)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=3244578667:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.95/0.57 % (4026702)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.95/0.57 % (4026698)Instruction limit reached!
% 1.95/0.57 % (4026698)------------------------------
% 1.95/0.57 % (4026698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.57 % (4026698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.57 % (4026698)CaDiCaL version: 2.1.3
% 1.95/0.57 % (4026698)Termination reason: Instruction limit
% 1.95/0.57 % (4026698)Termination phase: shuffling
% 1.95/0.57 % (4026698)Time elapsed: 0.007 s
% 1.95/0.57 % (4026698)Peak memory usage: 10 MB
% 1.95/0.57 % (4026698)Instructions burned: 16 (million)
% 1.95/0.57 % (4026702)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=2698059142:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.95/0.57 % (4026702)Instruction limit reached!
% 1.95/0.57 % (4026702)------------------------------
% 1.95/0.57 % (4026702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.57 % (4026702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.57 % (4026702)CaDiCaL version: 2.1.3
% 1.95/0.57 % (4026702)Termination reason: Instruction limit
% 1.95/0.57 % (4026702)Termination phase: shuffling
% 1.95/0.57 % (4026702)Time elapsed: 0.005 s
% 1.95/0.57 % (4026702)Peak memory usage: 10 MB
% 1.95/0.57 % (4026702)Instructions burned: 10 (million)
% 1.95/0.57 % (4026704)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=783458250:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.95/0.57 % (4026705)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3598194013:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.95/0.57 % (4026696)Instruction limit reached!
% 1.95/0.57 % (4026696)------------------------------
% 1.95/0.57 % (4026696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.57 % (4026696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.57 % (4026696)CaDiCaL version: 2.1.3
% 1.95/0.57 % (4026696)Termination reason: Instruction limit
% 1.95/0.57 % (4026696)Termination phase: Property scanning
% 1.95/0.57 % (4026696)Time elapsed: 0.029 s
% 1.95/0.57 % (4026696)Peak memory usage: 12 MB
% 1.95/0.57 % (4026696)Instructions burned: 61 (million)
% 1.95/0.57 % (4026705)Instruction limit reached!
% 1.95/0.57 % (4026705)------------------------------
% 1.95/0.57 % (4026705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.57 % (4026705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.57 % (4026705)CaDiCaL version: 2.1.3
% 1.95/0.57 % (4026705)Termination reason: Instruction limit
% 2.27/0.65 % (4026705)Termination phase: shuffling
% 2.27/0.65 % (4026705)Time elapsed: 0.004 s
% 2.27/0.65 % (4026705)Peak memory usage: 10 MB
% 2.27/0.65 % (4026705)Instructions burned: 8 (million)
% 2.27/0.65 % (4026708)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=185256930:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.27/0.65 % (4026704)Instruction limit reached!
% 2.27/0.65 % (4026704)------------------------------
% 2.27/0.65 % (4026704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.65 % (4026704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.65 % (4026704)CaDiCaL version: 2.1.3
% 2.27/0.65 % (4026704)Termination reason: Instruction limit
% 2.27/0.65 % (4026704)Termination phase: shuffling
% 2.27/0.65 % (4026704)Time elapsed: 0.014 s
% 2.27/0.65 % (4026704)Peak memory usage: 10 MB
% 2.27/0.65 % (4026704)Instructions burned: 31 (million)
% 2.27/0.65 % (4026709)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=698486926:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.27/0.65 % (4026688)Instruction limit reached!
% 2.27/0.65 % (4026688)------------------------------
% 2.27/0.65 % (4026688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.65 % (4026688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.65 % (4026688)CaDiCaL version: 2.1.3
% 2.27/0.65 % (4026688)Termination reason: Instruction limit
% 2.27/0.65 % (4026688)Termination phase: Saturation
% 2.27/0.65 % (4026688)Time elapsed: 0.085 s
% 2.27/0.65 % (4026688)Peak memory usage: 14 MB
% 2.27/0.65 % (4026688)Instructions burned: 328 (million)
% 2.27/0.65 % (4026708)Instruction limit reached!
% 2.27/0.65 % (4026708)------------------------------
% 2.27/0.65 % (4026708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.65 % (4026708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.65 % (4026708)CaDiCaL version: 2.1.3
% 2.27/0.65 % (4026708)Termination reason: Instruction limit
% 2.27/0.65 % (4026708)Termination phase: shuffling
% 2.27/0.65 % (4026708)Time elapsed: 0.010 s
% 2.27/0.65 % (4026708)Peak memory usage: 10 MB
% 2.27/0.65 % (4026708)Instructions burned: 23 (million)
% 2.27/0.65 % (4026712)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=369593856:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.27/0.65 % (4026713)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2692340178:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.27/0.65 % (4026709)Instruction limit reached!
% 2.27/0.65 % (4026709)------------------------------
% 2.27/0.65 % (4026709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.65 % (4026709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.65 % (4026709)CaDiCaL version: 2.1.3
% 2.27/0.65 % (4026709)Termination reason: Instruction limit
% 2.27/0.65 % (4026709)Termination phase: Property scanning
% 2.27/0.65 % (4026709)Time elapsed: 0.009 s
% 2.27/0.65 % (4026709)Peak memory usage: 10 MB
% 2.27/0.65 % (4026709)Instructions burned: 20 (million)
% 2.27/0.65 % (4026717)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2342227691:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.27/0.65 % (4026715)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2913513044:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.27/0.65 % (4026719)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.27/0.65 % (4026719)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1936035507:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.27/0.65 % (4026717)Instruction limit reached!
% 2.27/0.65 % (4026717)------------------------------
% 2.27/0.65 % (4026717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.65 % (4026717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.65 % (4026717)CaDiCaL version: 2.1.3
% 2.27/0.65 % (4026717)Termination reason: Instruction limit
% 2.27/0.65 % (4026717)Termination phase: Preprocessing 3
% 2.27/0.65 % (4026717)Time elapsed: 0.010 s
% 2.27/0.65 % (4026717)Peak memory usage: 11 MB
% 2.27/0.65 % (4026717)Instructions burned: 43 (million)
% 2.27/0.69 % (4026719)Instruction limit reached!
% 2.27/0.69 % (4026719)------------------------------
% 2.27/0.69 % (4026719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026719)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026719)Termination reason: Instruction limit
% 2.27/0.69 % (4026719)Termination phase: shuffling
% 2.27/0.69 % (4026719)Time elapsed: 0.004 s
% 2.27/0.69 % (4026719)Peak memory usage: 10 MB
% 2.27/0.69 % (4026719)Instructions burned: 8 (million)
% 2.27/0.69 % (4026721)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3682535237:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.27/0.69 % (4026725)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=533770887:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.27/0.69 % (4026727)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.27/0.69 % (4026727)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2361458579:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.27/0.69 % (4026727)Instruction limit reached!
% 2.27/0.69 % (4026727)------------------------------
% 2.27/0.69 % (4026727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026727)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026727)Termination reason: Instruction limit
% 2.27/0.69 % (4026727)Termination phase: shuffling
% 2.27/0.69 % (4026727)Time elapsed: 0.004 s
% 2.27/0.69 % (4026727)Peak memory usage: 10 MB
% 2.27/0.69 % (4026727)Instructions burned: 7 (million)
% 2.27/0.69 % (4026725)Refutation not found, incomplete strategy
% 2.27/0.69 % (4026725)------------------------------
% 2.27/0.69 % (4026725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026725)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026725)Termination reason: Refutation not found, incomplete strategy
% 2.27/0.69 % (4026725)Time elapsed: 0.018 s
% 2.27/0.69 % (4026725)Peak memory usage: 13 MB
% 2.27/0.69 % (4026725)Instructions burned: 71 (million)
% 2.27/0.69 % (4026725)------------------------------
% 2.27/0.69 % (4026725)------------------------------
% 2.27/0.69 % (4026731)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1862528030:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.27/0.69 % (4026731)Instruction limit reached!
% 2.27/0.69 % (4026731)------------------------------
% 2.27/0.69 % (4026731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026731)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026731)Termination reason: Instruction limit
% 2.27/0.69 % (4026731)Termination phase: shuffling
% 2.27/0.69 % (4026731)Time elapsed: 0.005 s
% 2.27/0.69 % (4026731)Peak memory usage: 10 MB
% 2.27/0.69 % (4026731)Instructions burned: 21 (million)
% 2.27/0.69 % (4026730)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1174685881:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.27/0.69 % (4026713)Instruction limit reached!
% 2.27/0.69 % (4026713)------------------------------
% 2.27/0.69 % (4026713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026713)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026713)Termination reason: Instruction limit
% 2.27/0.69 % (4026713)Termination phase: Saturation
% 2.27/0.69 % (4026713)Time elapsed: 0.066 s
% 2.27/0.69 % (4026713)Peak memory usage: 13 MB
% 2.27/0.69 % (4026713)Instructions burned: 144 (million)
% 2.27/0.69 % (4026733)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1287672138:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.27/0.69 % (4026730)Instruction limit reached!
% 2.27/0.69 % (4026730)------------------------------
% 2.27/0.69 % (4026730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026730)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026730)Termination reason: Instruction limit
% 2.27/0.69 % (4026730)Termination phase: Property scanning
% 2.27/0.69 % (4026730)Time elapsed: 0.011 s
% 2.27/0.69 % (4026730)Peak memory usage: 10 MB
% 2.27/0.69 % (4026730)Instructions burned: 23 (million)
% 2.27/0.69 % (4026735)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=421573065:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.27/0.69 % (4026737)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=247882677:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.27/0.69 % (4026715)Instruction limit reached!
% 2.27/0.69 % (4026715)------------------------------
% 2.27/0.69 % (4026715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026715)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026715)Termination reason: Instruction limit
% 2.27/0.69 % (4026715)Termination phase: Saturation
% 2.27/0.69 % (4026715)Time elapsed: 0.095 s
% 2.27/0.69 % (4026715)Peak memory usage: 14 MB
% 2.27/0.69 % (4026715)Instructions burned: 195 (million)
% 2.27/0.69 % (4026721)Instruction limit reached!
% 2.27/0.69 % (4026721)------------------------------
% 2.27/0.69 % (4026721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026721)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026721)Termination reason: Instruction limit
% 2.27/0.69 % (4026721)Termination phase: Saturation
% 2.27/0.69 % (4026721)Time elapsed: 0.091 s
% 2.27/0.69 % (4026721)Peak memory usage: 14 MB
% 2.27/0.69 % (4026721)Instructions burned: 181 (million)
% 2.27/0.69 % (4026737)Instruction limit reached!
% 2.27/0.69 % (4026737)------------------------------
% 2.27/0.69 % (4026737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026737)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026737)Termination reason: Instruction limit
% 2.27/0.69 % (4026737)Termination phase: SInE selection
% 2.27/0.69 % (4026737)Time elapsed: 0.020 s
% 2.27/0.69 % (4026737)Peak memory usage: 11 MB
% 2.27/0.69 % (4026737)Instructions burned: 45 (million)
% 2.27/0.69 % (4026740)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=578245426:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.27/0.69 % (4026742)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.27/0.69 % (4026741)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=708814616:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.27/0.69 % (4026742)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3124137489:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.27/0.69 % (4026741)Instruction limit reached!
% 2.27/0.69 % (4026741)------------------------------
% 2.27/0.69 % (4026741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026741)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026741)Termination reason: Instruction limit
% 2.27/0.69 % (4026741)Termination phase: Property scanning
% 2.27/0.69 % (4026741)Time elapsed: 0.011 s
% 2.27/0.69 % (4026741)Peak memory usage: 10 MB
% 2.27/0.69 % (4026741)Instructions burned: 23 (million)
% 2.27/0.69 % (4026733)Instruction limit reached!
% 2.27/0.69 % (4026733)------------------------------
% 2.27/0.69 % (4026733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026733)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026733)Termination reason: Instruction limit
% 2.27/0.69 % (4026733)Termination phase: Saturation
% 2.27/0.69 % (4026733)Time elapsed: 0.083 s
% 2.27/0.69 % (4026733)Peak memory usage: 16 MB
% 2.27/0.69 % (4026733)Instructions burned: 317 (million)
% 2.27/0.69 % (4026746)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3128473019:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.27/0.69 % (4026747)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2108065340:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.27/0.69 % (4026746)Instruction limit reached!
% 2.27/0.69 % (4026746)------------------------------
% 2.27/0.69 % (4026746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026746)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026746)Termination reason: Instruction limit
% 2.27/0.69 % (4026746)Termination phase: shuffling
% 2.27/0.69 % (4026746)Time elapsed: 0.007 s
% 2.27/0.69 % (4026746)Peak memory usage: 10 MB
% 2.27/0.69 % (4026746)Instructions burned: 15 (million)
% 2.27/0.69 % (4026655)Instruction limit reached!
% 2.27/0.69 % (4026655)------------------------------
% 2.27/0.69 % (4026655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026655)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026655)Termination reason: Instruction limit
% 2.27/0.69 % (4026655)Termination phase: Saturation
% 2.27/0.69 % (4026655)Time elapsed: 0.337 s
% 2.27/0.69 % (4026655)Peak memory usage: 15 MB
% 2.27/0.69 % (4026655)Instructions burned: 634 (million)
% 2.27/0.69 % (4026747)Instruction limit reached!
% 2.27/0.69 % (4026747)------------------------------
% 2.27/0.69 % (4026747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026747)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026747)Termination reason: Instruction limit
% 2.27/0.69 % (4026747)Termination phase: Property scanning
% 2.27/0.69 % (4026747)Time elapsed: 0.015 s
% 2.27/0.69 % (4026747)Peak memory usage: 11 MB
% 2.27/0.69 % (4026747)Instructions burned: 66 (million)
% 2.27/0.69 % (4026735) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4026647-4026735"...
% 2.27/0.69 % (4026750)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2471442446:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.27/0.69 % (4026735)...printing done.
% 2.27/0.69 % (4026752)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3254692850:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.27/0.69 % (4026751)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3962079136:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.27/0.69 % (4026735)Refutation found. Thanks to Tanya!
% 2.27/0.69 % SZS status Theorem for theBenchmark
% 2.27/0.69 % SZS output start Proof for theBenchmark
% 2.27/0.69 thf(type_def_5, type, secrecy_Expression: $tType).
% 2.27/0.69 thf(type_def_6, type, secrecy_Secrets: $tType).
% 2.27/0.69 thf(type_def_7, type, secrecy_specID: $tType).
% 2.27/0.69 thf(type_def_8, type, secrecy_Keys: $tType).
% 2.27/0.69 thf(type_def_9, type, secrecy_KS: $tType).
% 2.27/0.69 thf(type_def_10, type, list: $tType > $tType).
% 2.27/0.69 thf(type_def_11, type, set: $tType > $tType).
% 2.27/0.69 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 2.27/0.69 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 2.27/0.69 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 2.27/0.69 thf(func_def_2, type, order: !>[X0: $tType]:($o)).
% 2.27/0.69 thf(func_def_3, type, linorder: !>[X0: $tType]:($o)).
% 2.27/0.69 thf(func_def_4, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 2.27/0.69 thf(func_def_5, type, bNF_Greatest_Succ: !>[X0: $tType]:((set @ list @ X0 > list @ X0 > set @ X0))).
% 2.27/0.69 thf(func_def_6, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 2.27/0.69 thf(func_def_7, type, localSecrets: (secrecy_specID > set @ secrecy_KS)).
% 2.27/0.69 thf(func_def_8, type, monoid: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 2.27/0.69 thf(func_def_9, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.27/0.69 thf(func_def_10, type, knowle1667810483orrect: (secrecy_specID > secrecy_KS > $o)).
% 2.27/0.69 thf(func_def_11, type, knowle1893229345orrect: (secrecy_specID > secrecy_Expression > $o)).
% 2.27/0.69 thf(func_def_12, type, knowle1437066798e_know: (secrecy_specID > secrecy_KS > $o)).
% 2.27/0.69 thf(func_def_13, type, knowle2055185861_knows: (secrecy_specID > list @ secrecy_Expression > $o)).
% 2.27/0.69 thf(func_def_14, type, disjoint: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.27/0.69 thf(func_def_15, type, mem: !>[X0: $tType]:((X0 > list @ X0 > $o))).
% 2.27/0.69 thf(func_def_16, type, memS: !>[X0: $tType]:((X0 > list @ X0 > $o))).
% 2.27/0.69 thf(func_def_17, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_18, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_19, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 2.27/0.69 thf(func_def_20, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_21, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_22, type, distinct_adj: !>[X0: $tType]:((list @ X0 > $o))).
% 2.27/0.69 thf(func_def_23, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 2.27/0.69 thf(func_def_24, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_25, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_26, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_27, type, nil: !>[X0: $tType]:(list @ X0)).
% 2.27/0.69 thf(func_def_28, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 2.27/0.69 thf(func_def_29, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_30, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_31, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 2.27/0.69 thf(func_def_32, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 2.27/0.69 thf(func_def_33, type, map_tailrec: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 2.27/0.69 thf(func_def_34, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 2.27/0.69 thf(func_def_35, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 2.27/0.69 thf(func_def_36, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 2.27/0.69 thf(func_def_37, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 2.27/0.69 thf(func_def_38, type, ord_lexordp: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.27/0.69 thf(func_def_39, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.27/0.69 thf(func_def_40, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 2.27/0.69 thf(func_def_41, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_42, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_43, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 2.27/0.69 thf(func_def_44, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_45, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 2.27/0.69 thf(func_def_46, type, successively: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 2.27/0.69 thf(func_def_47, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.27/0.69 thf(func_def_48, type, decr: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 2.27/0.69 thf(func_def_49, type, enc: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 2.27/0.69 thf(func_def_50, type, encrDecrKeys: (secrecy_Keys > secrecy_Keys > $o)).
% 2.27/0.69 thf(func_def_51, type, ext: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 2.27/0.69 thf(func_def_52, type, sign: (secrecy_Keys > list @ secrecy_Expression > list @ secrecy_Expression)).
% 2.27/0.69 thf(func_def_53, type, eout: (secrecy_specID > secrecy_Expression > $o)).
% 2.27/0.69 thf(func_def_54, type, ine: (secrecy_specID > secrecy_Expression > $o)).
% 2.27/0.69 thf(func_def_55, type, notSpe1586871396tsExpr: (secrecy_specID > list @ secrecy_Expression > $o)).
% 2.27/0.69 thf(func_def_56, type, specKeys: (secrecy_specID > set @ secrecy_Keys)).
% 2.27/0.69 thf(func_def_57, type, specKeysSecrets: (secrecy_specID > set @ secrecy_KS)).
% 2.27/0.69 thf(func_def_58, type, specSecrets: (secrecy_specID > set @ secrecy_Secrets)).
% 2.27/0.69 thf(func_def_59, type, secrec1371625429on2KSL: (list @ secrecy_Expression > list @ secrecy_KS)).
% 2.27/0.69 thf(func_def_60, type, secrecy_kE: (secrecy_Keys > secrecy_Expression)).
% 2.27/0.69 thf(func_def_61, type, secrecy_sE: (secrecy_Secrets > secrecy_Expression)).
% 2.27/0.69 thf(func_def_62, type, secrec1016742679ession: (secrecy_KS > secrecy_Expression)).
% 2.27/0.69 thf(func_def_63, type, secrecy_case_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 2.27/0.69 thf(func_def_64, type, secrecy_kKS: (secrecy_Keys > secrecy_KS)).
% 2.27/0.69 thf(func_def_65, type, secrecy_rec_KS: !>[X0: $tType]:(((secrecy_Keys > X0) > (secrecy_Secrets > X0) > secrecy_KS > X0))).
% 2.27/0.69 thf(func_def_66, type, secrecy_sKS: (secrecy_Secrets > secrecy_KS)).
% 2.27/0.69 thf(func_def_67, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.27/0.69 thf(func_def_68, type, member2: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.27/0.69 thf(func_def_69, type, a: secrecy_specID).
% 2.27/0.69 thf(func_def_70, type, m: secrecy_Keys).
% 2.27/0.69 thf(func_def_74, type, db0: !>[X0: $tType]:(X0)).
% 2.27/0.69 thf(func_def_75, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.27/0.69 thf(func_def_76, type, vAND: ($o > $o > $o)).
% 2.27/0.69 thf(func_def_77, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.27/0.69 thf(func_def_78, type, vIMP: ($o > $o > $o)).
% 2.27/0.69 thf(func_def_79, type, db1: !>[X0: $tType]:(X0)).
% 2.27/0.69 thf(func_def_80, type, vNOT: ($o > $o)).
% 2.27/0.69 thf(func_def_81, type, db2: !>[X0: $tType]:(X0)).
% 2.27/0.69 thf(func_def_82, type, vOR: ($o > $o > $o)).
% 2.27/0.69 thf(func_def_83, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.27/0.69 thf(func_def_84, type, db3: !>[X0: $tType]:(X0)).
% 2.27/0.69 thf(func_def_85, type, db4: !>[X0: $tType]:(X0)).
% 2.27/0.69 thf(func_def_86, type, db6: !>[X0: $tType]:(X0)).
% 2.27/0.69 thf(func_def_87, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.27/0.69 thf(func_def_88, type, db5: !>[X0: $tType]:(X0)).
% 2.27/0.69 thf(func_def_89, type, sK0: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_90, type, sK1: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_91, type, sK2: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_92, type, sK3: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_93, type, sK4: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.27/0.69 thf(func_def_94, type, sK5: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.27/0.69 thf(func_def_95, type, sK6: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.27/0.69 thf(func_def_96, type, sK7: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.27/0.69 thf(func_def_97, type, sK8: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_98, type, sK9: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.27/0.69 thf(func_def_99, type, sK10: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.27/0.69 thf(func_def_100, type, sK11: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_101, type, sK12: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_102, type, sK13: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_103, type, sK14: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_104, type, sK15: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_105, type, sK16: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_106, type, sK17: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_107, type, sK18: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.27/0.69 thf(func_def_108, type, sK19: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_109, type, sK20: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_110, type, sK21: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.27/0.69 thf(func_def_111, type, sK22: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.27/0.69 thf(func_def_112, type, sK23: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.27/0.69 thf(func_def_113, type, sK24: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_114, type, sK25: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.27/0.69 thf(func_def_115, type, sK26: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_116, type, sK27: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_117, type, sK28: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_118, type, sK29: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_119, type, sK30: (secrecy_specID > secrecy_Expression > secrecy_Secrets)).
% 2.27/0.69 thf(func_def_120, type, sK31: (secrecy_specID > secrecy_Expression > secrecy_Keys)).
% 2.27/0.69 thf(func_def_121, type, sK32: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_122, type, sK33: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_123, type, sK34: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_124, type, sK35: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_125, type, sK36: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_126, type, sK37: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_127, type, sK38: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_128, type, sK39: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_129, type, sK40: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_130, type, sK41: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_131, type, sK42: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_132, type, sK43: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_133, type, sK44: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_134, type, sK45: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_135, type, sK46: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_136, type, sK47: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 2.27/0.69 thf(func_def_137, type, sK48: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 2.27/0.69 thf(func_def_138, type, sK49: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_139, type, sK50: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 2.27/0.69 thf(func_def_140, type, sK51: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_141, type, sK52: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_142, type, sK53: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_143, type, sK54: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_144, type, sK55: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_145, type, sK56: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_146, type, sK57: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_147, type, sK58: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_148, type, sK59: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_149, type, sK60: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_150, type, sK61: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_151, type, sK62: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_152, type, sK63: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_153, type, sK64: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_154, type, sK65: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 2.27/0.69 thf(func_def_155, type, sK66: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_156, type, sK67: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 2.27/0.69 thf(func_def_157, type, sK68: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_158, type, sK69: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_159, type, sK70: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 2.27/0.69 thf(func_def_160, type, sK71: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_161, type, sK72: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_162, type, sK73: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_163, type, sK74: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_164, type, sK75: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_165, type, sK76: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_166, type, sK77: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_167, type, sK78: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_168, type, sK79: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (list @ X0 > list @ X1 > $o) > X0))).
% 2.27/0.69 thf(func_def_169, type, sK80: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_170, type, sK81: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.27/0.69 thf(func_def_171, type, sK82: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (list @ X0 > list @ X1 > $o) > X1))).
% 2.27/0.69 thf(func_def_172, type, sK83: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_173, type, sK84: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_174, type, sK85: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_175, type, sK86: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_176, type, sK87: (secrecy_KS > secrecy_Secrets)).
% 2.27/0.69 thf(func_def_177, type, sK88: (secrecy_KS > secrecy_Keys)).
% 2.27/0.69 thf(func_def_178, type, sK89: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_179, type, sK90: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_180, type, sK91: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_181, type, sK92: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_182, type, sK93: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_183, type, sK94: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_184, type, sK95: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_185, type, sK96: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_186, type, sK97: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_187, type, sK98: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_188, type, sK99: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 2.27/0.69 thf(func_def_189, type, sK100: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_190, type, sK101: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_191, type, sK102: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 2.27/0.69 thf(func_def_192, type, sK103: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_193, type, sK104: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_194, type, sK105: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_195, type, sK106: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_196, type, sK107: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_197, type, sK108: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_198, type, sK109: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_199, type, sK110: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_200, type, sK111: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_201, type, sK112: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_202, type, sK113: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_203, type, sK114: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_204, type, sK115: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_205, type, sK116: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_206, type, sK117: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 2.27/0.69 thf(func_def_207, type, sK118: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.27/0.69 thf(func_def_208, type, sK119: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.27/0.69 thf(func_def_209, type, sK120: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_210, type, sK121: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 2.27/0.69 thf(func_def_211, type, sK122: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 2.27/0.69 thf(func_def_212, type, sK123: ((secrecy_KS > $o) > secrecy_Keys)).
% 2.27/0.69 thf(func_def_213, type, sK124: ((secrecy_KS > $o) > secrecy_Secrets)).
% 2.27/0.69 thf(func_def_214, type, sK125: !>[X0: $tType]:(X0)).
% 2.27/0.69 thf(func_def_215, type, sK126: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > list @ X0 > list @ X1 > list @ X0))).
% 2.27/0.69 thf(func_def_216, type, sK127: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X1 > list @ X0 > list @ X1 > X0))).
% 2.27/0.69 thf(func_def_217, type, sK128: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_218, type, sK129: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_219, type, sK130: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_220, type, sK131: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_221, type, sK132: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_222, type, sK133: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 2.27/0.69 thf(func_def_223, type, sK134: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_224, type, sK135: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_225, type, sK136: !>[X0: $tType]:((list @ list @ X0 > list @ X0 > list @ X0 > list @ list @ X0))).
% 2.27/0.69 thf(func_def_226, type, sK137: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_227, type, sK138: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_228, type, sK139: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_229, type, sK140: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_230, type, sK141: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_231, type, sK142: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_232, type, sK143: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_233, type, sK144: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_234, type, sK145: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_235, type, sK146: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_236, type, sK147: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_237, type, sK148: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_238, type, sK149: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 2.27/0.69 thf(func_def_239, type, sK150: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1 > $o) > list @ X1 > X0))).
% 2.27/0.69 thf(func_def_240, type, sK151: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1 > $o) > list @ X1 > X1))).
% 2.27/0.69 thf(func_def_241, type, sK152: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1 > $o) > list @ X1 > list @ X0))).
% 2.27/0.69 thf(func_def_242, type, sK153: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1 > $o) > list @ X1 > list @ X1))).
% 2.27/0.69 thf(func_def_243, type, sK154: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_244, type, sK155: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_245, type, sK156: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_246, type, sK157: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_247, type, sK158: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_248, type, sK159: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_249, type, sK160: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_250, type, sK161: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_251, type, sK162: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_252, type, sK163: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_253, type, sK164: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_254, type, sK165: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_255, type, sK166: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_256, type, sK167: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_257, type, sK168: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_258, type, sK169: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_259, type, sK170: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_260, type, sK171: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_261, type, sK172: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_262, type, sK173: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_263, type, sK174: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_264, type, sK175: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_265, type, sK176: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_266, type, sK177: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_267, type, sK178: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_268, type, sK179: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_269, type, sK180: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_270, type, sK181: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_271, type, sK182: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_272, type, sK183: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_273, type, sK184: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_274, type, sK185: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_275, type, sK186: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_276, type, sK187: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_277, type, sK188: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_278, type, sK189: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_279, type, sK190: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.27/0.69 thf(func_def_280, type, sK191: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.27/0.69 thf(func_def_281, type, sK192: !>[X0: $tType]:(X0)).
% 2.27/0.69 thf(func_def_282, type, sK193: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_283, type, sK194: !>[X0: $tType]:((list @ X0 > X0))).
% 2.27/0.69 thf(func_def_284, type, sK195: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_285, type, sK196: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_286, type, sK197: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_287, type, sK198: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_288, type, sK199: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_289, type, sK200: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(func_def_290, type, sK201: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.27/0.69 thf(func_def_291, type, sK202: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.27/0.69 thf(f1,axiom,(
% 2.27/0.69 (knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_kE @ m) @ nil @ secrecy_Expression))),
% 2.27/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms)).
% 2.27/0.69 thf(f8,axiom,(
% 2.27/0.69 ! [X0 : secrecy_specID,X1 : secrecy_Keys] : (((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_kKS @ X1)) @ nil @ secrecy_Expression))) = ((knowle1437066798e_know @ X0 @ (secrecy_kKS @ X1))))),
% 2.27/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_know1k)).
% 2.27/0.69 thf(f16,axiom,(
% 2.27/0.69 ! [X0 : secrecy_Keys] : (((secrec1016742679ession @ (secrecy_kKS @ X0))) = ((secrecy_kE @ X0)))),
% 2.27/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_KS2Expression_Osimps_I1_J)).
% 2.27/0.69 thf(f266,conjecture,(
% 2.27/0.69 (knowle1437066798e_know @ a @ (secrecy_kKS @ m))),
% 2.27/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 2.27/0.69 thf(f267,negated_conjecture,(
% 2.27/0.69 ~(knowle1437066798e_know @ a @ (secrecy_kKS @ m))),
% 2.27/0.69 inference(negated_conjecture,[status(cth)],[f266])).
% 2.27/0.69 thf(f384,plain,(
% 2.27/0.69 ~(knowle1437066798e_know @ a @ (secrecy_kKS @ m))),
% 2.27/0.69 inference(rectify,[],[f267])).
% 2.27/0.69 thf(f385,plain,(
% 2.27/0.69 ~ (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) = $true)),
% 2.27/0.69 inference(fool_elimination,[],[f384])).
% 2.27/0.69 thf(f431,plain,(
% 2.27/0.69 (knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_kE @ m) @ nil @ secrecy_Expression))),
% 2.27/0.69 inference(rectify,[],[f1])).
% 2.27/0.69 thf(f432,plain,(
% 2.27/0.69 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_kE @ m) @ nil @ secrecy_Expression))) = $true)),
% 2.27/0.69 inference(fool_elimination,[],[f431])).
% 2.27/0.69 thf(f623,plain,(
% 2.27/0.69 (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) != $true)),
% 2.27/0.69 inference(flattening,[],[f385])).
% 2.27/0.69 thf(f1240,plain,(
% 2.27/0.69 ( ! [X0 : secrecy_specID,X1 : secrecy_Keys] : ((((knowle1437066798e_know @ X0 @ (secrecy_kKS @ X1))) = ((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_kKS @ X1)) @ nil @ secrecy_Expression))))) )),
% 2.27/0.69 inference(cnf_transformation,[],[f8])).
% 2.27/0.69 thf(f1364,plain,(
% 2.27/0.69 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_kE @ m) @ nil @ secrecy_Expression))) = $true)),
% 2.27/0.69 inference(cnf_transformation,[],[f432])).
% 2.27/0.69 thf(f1685,plain,(
% 2.27/0.69 ( ! [X0 : secrecy_Keys] : ((((secrecy_kE @ X0)) = ((secrec1016742679ession @ (secrecy_kKS @ X0))))) )),
% 2.27/0.69 inference(cnf_transformation,[],[f16])).
% 2.27/0.69 thf(f1708,plain,(
% 2.27/0.69 (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) != $true)),
% 2.27/0.69 inference(cnf_transformation,[],[f623])).
% 2.27/0.69 thf(f1872,plain,(
% 2.27/0.69 ( ! [X0 : secrecy_specID,X1 : secrecy_Keys] : ((((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrec1016742679ession @ (secrecy_kKS @ X1)) @ nil @ secrecy_Expression))) = $false) | (((knowle1437066798e_know @ X0 @ (secrecy_kKS @ X1))) = $true)) )),
% 2.27/0.69 inference(iff_proxy_clausification,[],[f1240])).
% 2.27/0.69 thf(f1903,definition,(
% 2.27/0.69 spl203_6 <=> (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) = $true)),
% 2.27/0.69 introduced(definition,[new_symbols(definition,[spl203_6])],[avatar_definition])).
% 2.27/0.69 thf(f1905,plain,(
% 2.27/0.69 (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) != $true) | spl203_6),
% 2.27/0.69 inference(avatar_component_clause,[],[f1903])).
% 2.27/0.69 thf(f1906,plain,(
% 2.27/0.69 ~spl203_6),
% 2.27/0.69 inference(avatar_split_clause,[],[f1708,f1903])).
% 2.27/0.69 thf(f1908,definition,(
% 2.27/0.69 spl203_7 <=> (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_kE @ m) @ nil @ secrecy_Expression))) = $true)),
% 2.27/0.69 introduced(definition,[new_symbols(definition,[spl203_7])],[avatar_definition])).
% 2.27/0.69 thf(f1910,plain,(
% 2.27/0.69 (((knowle2055185861_knows @ a @ (cons @ secrecy_Expression @ (secrecy_kE @ m) @ nil @ secrecy_Expression))) = $true) | ~spl203_7),
% 2.27/0.69 inference(avatar_component_clause,[],[f1908])).
% 2.27/0.69 thf(f1911,plain,(
% 2.27/0.69 spl203_7),
% 2.27/0.69 inference(avatar_split_clause,[],[f1364,f1908])).
% 2.27/0.69 thf(f1959,plain,(
% 2.27/0.69 ( ! [X0 : secrecy_specID,X1 : secrecy_Keys] : ((((knowle2055185861_knows @ X0 @ (cons @ secrecy_Expression @ (secrecy_kE @ X1) @ nil @ secrecy_Expression))) = $false) | (((knowle1437066798e_know @ X0 @ (secrecy_kKS @ X1))) = $true)) )),
% 2.27/0.69 inference(backward_demodulation,[],[f1872,f1685])).
% 2.27/0.69 thf(f2003,plain,(
% 2.27/0.69 ($true = $false) | (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) = $true) | ~spl203_7),
% 2.27/0.69 inference(superposition,[],[f1910,f1959])).
% 2.27/0.69 thf(f2005,plain,(
% 2.27/0.69 (((knowle1437066798e_know @ a @ (secrecy_kKS @ m))) = $true) | ~spl203_7),
% 2.27/0.69 inference(trivial_inequality_removal,[],[f2003])).
% 2.27/0.69 thf(f2008,plain,(
% 2.27/0.69 $false | (spl203_6 | ~spl203_7)),
% 2.27/0.69 inference(forward_subsumption_resolution,[],[f2005,f1905])).
% 2.27/0.69 thf(f2009,plain,(
% 2.27/0.69 spl203_6 | ~spl203_7),
% 2.27/0.69 inference(avatar_contradiction_clause,[],[f2008])).
% 2.27/0.69 cnf(s6, plain, ~spl203_6, inference(sat_conversion,[],[f1906])).
% 2.27/0.69 cnf(s7, plain, spl203_7, inference(sat_conversion,[],[f1911])).
% 2.27/0.69 cnf(s14, plain, spl203_6 | ~spl203_7, inference(sat_conversion,[],[f2009])).
% 2.27/0.69 cnf(s16, plain, spl203_6, inference(rat,[],[s14,s7])).
% 2.27/0.69 cnf(s17, plain, $false, inference(rat,[],[s6,s16])).
% 2.27/0.69 thf(f2011,plain,(
% 2.27/0.69 $false),
% 2.27/0.69 inference(avatar_sat_refutation,[],[s17])).
% 2.27/0.69 % SZS output end Proof for theBenchmark
% 2.27/0.69 % (4026735)------------------------------
% 2.27/0.69 % (4026735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.69 % (4026735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.69 % (4026735)CaDiCaL version: 2.1.3
% 2.27/0.69 % (4026735)Termination reason: Refutation
% 2.27/0.69 % (4026735)Time elapsed: 0.103 s
% 2.27/0.69 % (4026735)Peak memory usage: 15 MB
% 2.27/0.69 % (4026735)Instructions burned: 216 (million)
% 2.27/0.69 % (4026647)Success in time 0.408 s
% 2.27/0.69 % Vampire exiting
%------------------------------------------------------------------------------