%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT170^1 : TPTP v9.3.1. Released v7.0.0.
% 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 07:48:28 AM UTC 2026
% Result : Theorem 5.79s 1.21s
% Output : Refutation 5.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT170^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 18:04:45 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.28 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
% 0.53/0.41 % (3011393)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.53/0.41 % (3011404)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.53/0.41 % (3011404)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
% 0.53/0.41 % (3011404)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=4239002681:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.53/0.41 % (3011398)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=932433840:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.53/0.41 % (3011399)lrs+10_16_si=on:nwc=1.5:random_seed=3986147019:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.53/0.41 % (3011401)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=3814979634: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)
% 0.53/0.41 % (3011402)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1984051182:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.53/0.41 % (3011403)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1838002679:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.53/0.41 % (3011400)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3231951865:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.53/0.41 % (3011400)Instruction limit reached!
% 0.53/0.41 % (3011400)------------------------------
% 0.53/0.41 % (3011400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (3011400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (3011400)CaDiCaL version: 2.1.3
% 0.53/0.41 % (3011400)Termination reason: Instruction limit
% 0.53/0.41 % (3011400)Termination phase: shuffling
% 0.53/0.41 % (3011400)Time elapsed: 0.002 s
% 0.53/0.41 % (3011400)Peak memory usage: 10 MB
% 0.53/0.41 % (3011400)Instructions burned: 4 (million)
% 0.53/0.41 % (3011399)Instruction limit reached!
% 0.53/0.41 % (3011399)------------------------------
% 0.53/0.41 % (3011399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (3011399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (3011399)CaDiCaL version: 2.1.3
% 0.53/0.41 % (3011399)Termination reason: Instruction limit
% 0.53/0.41 % (3011399)Termination phase: shuffling
% 0.53/0.41 % (3011399)Time elapsed: 0.009 s
% 0.53/0.41 % (3011399)Peak memory usage: 10 MB
% 0.53/0.41 % (3011399)Instructions burned: 18 (million)
% 0.53/0.41 % (3011402)Instruction limit reached!
% 0.53/0.41 % (3011402)------------------------------
% 0.53/0.41 % (3011402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (3011402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (3011402)CaDiCaL version: 2.1.3
% 0.53/0.41 % (3011402)Termination reason: Instruction limit
% 0.53/0.41 % (3011402)Termination phase: Property scanning
% 0.53/0.41 % (3011402)Time elapsed: 0.011 s
% 0.53/0.41 % (3011402)Peak memory usage: 10 MB
% 0.53/0.41 % (3011402)Instructions burned: 24 (million)
% 0.53/0.41 % (3011412)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1802197979:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.41 % (3011412)Instruction limit reached!
% 0.53/0.41 % (3011412)------------------------------
% 0.53/0.41 % (3011412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.41 % (3011412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.41 % (3011412)CaDiCaL version: 2.1.3
% 0.53/0.41 % (3011412)Termination reason: Instruction limit
% 0.53/0.41 % (3011412)Termination phase: shuffling
% 0.53/0.41 % (3011412)Time elapsed: 0.001 s
% 0.53/0.41 % (3011412)Peak memory usage: 10 MB
% 0.53/0.41 % (3011412)Instructions burned: 2 (million)
% 0.53/0.41 % (3011414)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.44 % (3011413)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3070899771:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.53/0.44 % (3011413)Instruction limit reached!
% 0.53/0.44 % (3011413)------------------------------
% 0.53/0.44 % (3011413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3011413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3011413)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3011413)Termination reason: Instruction limit
% 0.53/0.44 % (3011413)Termination phase: shuffling
% 0.53/0.44 % (3011413)Time elapsed: 0.003 s
% 0.53/0.44 % (3011413)Peak memory usage: 10 MB
% 0.53/0.44 % (3011413)Instructions burned: 6 (million)
% 0.53/0.44 % (3011414)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=694740978:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.53/0.44 % (3011414)Instruction limit reached!
% 0.53/0.44 % (3011414)------------------------------
% 0.53/0.44 % (3011414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3011414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3011414)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3011414)Termination reason: Instruction limit
% 0.53/0.44 % (3011414)Termination phase: shuffling
% 0.53/0.44 % (3011414)Time elapsed: 0.004 s
% 0.53/0.44 % (3011414)Peak memory usage: 10 MB
% 0.53/0.44 % (3011414)Instructions burned: 8 (million)
% 0.53/0.44 % (3011403)Instruction limit reached!
% 0.53/0.44 % (3011403)------------------------------
% 0.53/0.44 % (3011403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3011403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3011403)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3011403)Termination reason: Instruction limit
% 0.53/0.44 % (3011403)Termination phase: Property scanning
% 0.53/0.44 % (3011403)Time elapsed: 0.036 s
% 0.53/0.44 % (3011403)Peak memory usage: 12 MB
% 0.53/0.44 % (3011403)Instructions burned: 76 (million)
% 0.53/0.44 % (3011404)Instruction limit reached!
% 0.53/0.44 % (3011404)------------------------------
% 0.53/0.44 % (3011404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3011404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3011404)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3011404)Termination reason: Instruction limit
% 0.53/0.44 % (3011404)Termination phase: Saturation
% 0.53/0.44 % (3011404)Time elapsed: 0.043 s
% 0.53/0.44 % (3011404)Peak memory usage: 13 MB
% 0.53/0.44 % (3011404)Instructions burned: 160 (million)
% 0.53/0.44 % (3011398)Instruction limit reached!
% 0.53/0.44 % (3011398)------------------------------
% 0.53/0.44 % (3011398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3011398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.44 % (3011398)CaDiCaL version: 2.1.3
% 0.53/0.44 % (3011398)Termination reason: Instruction limit
% 0.53/0.44 % (3011398)Termination phase: Property scanning
% 0.53/0.44 % (3011398)Time elapsed: 0.041 s
% 0.53/0.44 % (3011398)Peak memory usage: 12 MB
% 0.53/0.44 % (3011398)Instructions burned: 87 (million)
% 0.53/0.44 % (3011416)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3548896743:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.53/0.44 % (3011422)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.53/0.44 % (3011419)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
% 0.53/0.44 % (3011419)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.44 % (3011422)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=2643563999:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.44 % (3011422)Instruction limit reached!
% 0.53/0.44 % (3011422)------------------------------
% 0.53/0.44 % (3011422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.44 % (3011422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.48 % (3011422)CaDiCaL version: 2.1.3
% 1.23/0.48 % (3011422)Termination reason: Instruction limit
% 1.23/0.48 % (3011422)Termination phase: shuffling
% 1.23/0.48 % (3011422)Time elapsed: 0.001 s
% 1.23/0.48 % (3011422)Peak memory usage: 10 MB
% 1.23/0.48 % (3011422)Instructions burned: 3 (million)
% 1.23/0.48 % (3011419)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3879829816:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.23/0.48 % (3011416)Instruction limit reached!
% 1.23/0.48 % (3011416)------------------------------
% 1.23/0.48 % (3011416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.48 % (3011416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.48 % (3011416)CaDiCaL version: 2.1.3
% 1.23/0.48 % (3011416)Termination reason: Instruction limit
% 1.23/0.48 % (3011416)Termination phase: shuffling
% 1.23/0.48 % (3011416)Time elapsed: 0.006 s
% 1.23/0.48 % (3011416)Peak memory usage: 10 MB
% 1.23/0.48 % (3011416)Instructions burned: 13 (million)
% 1.23/0.48 % (3011420)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=355503714:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.23/0.48 % (3011421)lrs+10_1_si=on:cs=on:random_seed=2981908040:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.23/0.48 % (3011423)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1267871707:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.23/0.48 % (3011421)Instruction limit reached!
% 1.23/0.48 % (3011421)------------------------------
% 1.23/0.48 % (3011421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.48 % (3011421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.48 % (3011421)CaDiCaL version: 2.1.3
% 1.23/0.48 % (3011421)Termination reason: Instruction limit
% 1.23/0.48 % (3011421)Termination phase: shuffling
% 1.23/0.48 % (3011421)Time elapsed: 0.004 s
% 1.23/0.48 % (3011421)Peak memory usage: 10 MB
% 1.23/0.48 % (3011421)Instructions burned: 8 (million)
% 1.23/0.48 % (3011426)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2238470665:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.23/0.48 % (3011419)Instruction limit reached!
% 1.23/0.48 % (3011419)------------------------------
% 1.23/0.48 % (3011419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.48 % (3011419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.48 % (3011419)CaDiCaL version: 2.1.3
% 1.23/0.48 % (3011419)Termination reason: Instruction limit
% 1.23/0.48 % (3011419)Termination phase: shuffling
% 1.23/0.48 % (3011419)Time elapsed: 0.013 s
% 1.23/0.48 % (3011419)Peak memory usage: 10 MB
% 1.23/0.48 % (3011419)Instructions burned: 28 (million)
% 1.23/0.48 % (3011428)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3336519333:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.23/0.48 % (3011426)Refutation not found, incomplete strategy
% 1.23/0.48 % (3011426)------------------------------
% 1.23/0.48 % (3011426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.48 % (3011426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.48 % (3011426)CaDiCaL version: 2.1.3
% 1.23/0.48 % (3011426)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.48 % (3011426)Time elapsed: 0.016 s
% 1.23/0.48 % (3011426)Peak memory usage: 13 MB
% 1.23/0.48 % (3011426)Instructions burned: 62 (million)
% 1.23/0.48 % (3011426)------------------------------
% 1.23/0.48 % (3011426)------------------------------
% 1.23/0.48 % (3011423)Instruction limit reached!
% 1.23/0.48 % (3011423)------------------------------
% 1.23/0.48 % (3011423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.48 % (3011423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.48 % (3011423)CaDiCaL version: 2.1.3
% 1.23/0.48 % (3011423)Termination reason: Instruction limit
% 1.23/0.48 % (3011423)Termination phase: Preprocessing 3
% 1.23/0.48 % (3011423)Time elapsed: 0.018 s
% 1.23/0.48 % (3011423)Peak memory usage: 11 MB
% 1.23/0.48 % (3011423)Instructions burned: 39 (million)
% 1.23/0.52 % (3011433)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1002462421:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.23/0.52 % (3011434)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=517401612:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.23/0.52 % (3011428)Instruction limit reached!
% 1.23/0.52 % (3011428)------------------------------
% 1.23/0.52 % (3011428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (3011428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (3011428)CaDiCaL version: 2.1.3
% 1.23/0.52 % (3011428)Termination reason: Instruction limit
% 1.23/0.52 % (3011428)Termination phase: Property scanning
% 1.23/0.52 % (3011428)Time elapsed: 0.012 s
% 1.23/0.52 % (3011428)Peak memory usage: 10 MB
% 1.23/0.52 % (3011428)Instructions burned: 26 (million)
% 1.23/0.52 % (3011433)Instruction limit reached!
% 1.23/0.52 % (3011433)------------------------------
% 1.23/0.52 % (3011433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (3011433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (3011433)CaDiCaL version: 2.1.3
% 1.23/0.52 % (3011433)Termination reason: Instruction limit
% 1.23/0.52 % (3011433)Termination phase: shuffling
% 1.23/0.52 % (3011433)Time elapsed: 0.007 s
% 1.23/0.52 % (3011433)Peak memory usage: 10 MB
% 1.23/0.52 % (3011433)Instructions burned: 15 (million)
% 1.23/0.52 % (3011436)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=401310933:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.23/0.52 % (3011436)Instruction limit reached!
% 1.23/0.52 % (3011436)------------------------------
% 1.23/0.52 % (3011436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (3011436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (3011436)CaDiCaL version: 2.1.3
% 1.23/0.52 % (3011436)Termination reason: Instruction limit
% 1.23/0.52 % (3011436)Termination phase: shuffling
% 1.23/0.52 % (3011436)Time elapsed: 0.004 s
% 1.23/0.52 % (3011436)Peak memory usage: 10 MB
% 1.23/0.52 % (3011436)Instructions burned: 17 (million)
% 1.23/0.52 % (3011420)Instruction limit reached!
% 1.23/0.52 % (3011420)------------------------------
% 1.23/0.52 % (3011420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (3011420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (3011420)CaDiCaL version: 2.1.3
% 1.23/0.52 % (3011420)Termination reason: Instruction limit
% 1.23/0.52 % (3011420)Termination phase: Property scanning
% 1.23/0.52 % (3011420)Time elapsed: 0.037 s
% 1.23/0.52 % (3011420)Peak memory usage: 11 MB
% 1.23/0.52 % (3011420)Instructions burned: 87 (million)
% 1.23/0.52 % (3011437)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=467377504: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)
% 1.23/0.52 % (3011437)Instruction limit reached!
% 1.23/0.52 % (3011437)------------------------------
% 1.23/0.52 % (3011437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (3011437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (3011437)CaDiCaL version: 2.1.3
% 1.23/0.52 % (3011437)Termination reason: Instruction limit
% 1.23/0.52 % (3011437)Termination phase: shuffling
% 1.23/0.52 % (3011437)Time elapsed: 0.003 s
% 1.23/0.52 % (3011437)Peak memory usage: 10 MB
% 1.23/0.52 % (3011437)Instructions burned: 5 (million)
% 1.23/0.52 % (3011440)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=262382694:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.23/0.52 % (3011443)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1078286429:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.23/0.52 % (3011441)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1252425486:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.23/0.52 % (3011444)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
% 1.95/0.59 % (3011444)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.95/0.59 % (3011444)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=3275138720:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.95/0.59 % (3011446)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.95/0.59 % (3011440)Instruction limit reached!
% 1.95/0.59 % (3011440)------------------------------
% 1.95/0.59 % (3011440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.59 % (3011440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.59 % (3011440)CaDiCaL version: 2.1.3
% 1.95/0.59 % (3011440)Termination reason: Instruction limit
% 1.95/0.59 % (3011440)Termination phase: shuffling
% 1.95/0.59 % (3011440)Time elapsed: 0.012 s
% 1.95/0.59 % (3011440)Peak memory usage: 10 MB
% 1.95/0.59 % (3011440)Instructions burned: 26 (million)
% 1.95/0.59 % (3011441)Instruction limit reached!
% 1.95/0.59 % (3011441)------------------------------
% 1.95/0.59 % (3011441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.59 % (3011441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.59 % (3011441)CaDiCaL version: 2.1.3
% 1.95/0.59 % (3011441)Termination reason: Instruction limit
% 1.95/0.59 % (3011441)Termination phase: Property scanning
% 1.95/0.59 % (3011441)Time elapsed: 0.011 s
% 1.95/0.59 % (3011441)Peak memory usage: 10 MB
% 1.95/0.59 % (3011441)Instructions burned: 23 (million)
% 1.95/0.59 % (3011446)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=1606915174:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.95/0.59 % (3011444)Instruction limit reached!
% 1.95/0.59 % (3011444)------------------------------
% 1.95/0.59 % (3011444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.59 % (3011444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.59 % (3011444)CaDiCaL version: 2.1.3
% 1.95/0.59 % (3011444)Termination reason: Instruction limit
% 1.95/0.59 % (3011444)Termination phase: shuffling
% 1.95/0.59 % (3011444)Time elapsed: 0.007 s
% 1.95/0.59 % (3011444)Peak memory usage: 10 MB
% 1.95/0.59 % (3011444)Instructions burned: 16 (million)
% 1.95/0.59 % (3011443)Instruction limit reached!
% 1.95/0.59 % (3011443)------------------------------
% 1.95/0.59 % (3011443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.59 % (3011443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.59 % (3011443)CaDiCaL version: 2.1.3
% 1.95/0.59 % (3011443)Termination reason: Instruction limit
% 1.95/0.59 % (3011443)Termination phase: Property scanning
% 1.95/0.59 % (3011443)Time elapsed: 0.017 s
% 1.95/0.59 % (3011443)Peak memory usage: 12 MB
% 1.95/0.59 % (3011443)Instructions burned: 74 (million)
% 1.95/0.59 % (3011446)Instruction limit reached!
% 1.95/0.59 % (3011446)------------------------------
% 1.95/0.59 % (3011446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.59 % (3011446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.59 % (3011446)CaDiCaL version: 2.1.3
% 1.95/0.59 % (3011446)Termination reason: Instruction limit
% 1.95/0.59 % (3011446)Termination phase: shuffling
% 1.95/0.59 % (3011446)Time elapsed: 0.005 s
% 1.95/0.59 % (3011446)Peak memory usage: 10 MB
% 1.95/0.59 % (3011446)Instructions burned: 10 (million)
% 1.95/0.59 % (3011455)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2620319825:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.95/0.59 % (3011451)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=121280496:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.95/0.59 % (3011452)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3611411773:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.95/0.59 % (3011455)Instruction limit reached!
% 1.95/0.59 % (3011455)------------------------------
% 1.95/0.59 % (3011455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.59 % (3011455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.67 % (3011454)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1282478435:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.31/0.67 % (3011455)CaDiCaL version: 2.1.3
% 2.31/0.67 % (3011455)Termination reason: Instruction limit
% 2.31/0.67 % (3011455)Termination phase: Property scanning
% 2.31/0.67 % (3011455)Time elapsed: 0.005 s
% 2.31/0.67 % (3011455)Peak memory usage: 10 MB
% 2.31/0.67 % (3011455)Instructions burned: 21 (million)
% 2.31/0.67 % (3011452)Instruction limit reached!
% 2.31/0.67 % (3011452)------------------------------
% 2.31/0.67 % (3011452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.67 % (3011452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.67 % (3011452)CaDiCaL version: 2.1.3
% 2.31/0.67 % (3011452)Termination reason: Instruction limit
% 2.31/0.67 % (3011452)Termination phase: shuffling
% 2.31/0.67 % (3011452)Time elapsed: 0.004 s
% 2.31/0.67 % (3011452)Peak memory usage: 10 MB
% 2.31/0.67 % (3011452)Instructions burned: 9 (million)
% 2.31/0.67 % (3011456)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=176457651:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.31/0.67 % (3011461)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=358286892:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.31/0.67 % (3011454)Instruction limit reached!
% 2.31/0.67 % (3011454)------------------------------
% 2.31/0.67 % (3011454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.67 % (3011454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.67 % (3011454)CaDiCaL version: 2.1.3
% 2.31/0.67 % (3011454)Termination reason: Instruction limit
% 2.31/0.67 % (3011454)Termination phase: shuffling
% 2.31/0.67 % (3011454)Time elapsed: 0.010 s
% 2.31/0.67 % (3011454)Peak memory usage: 10 MB
% 2.31/0.67 % (3011454)Instructions burned: 23 (million)
% 2.31/0.67 % (3011451)Instruction limit reached!
% 2.31/0.67 % (3011451)------------------------------
% 2.31/0.67 % (3011451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.67 % (3011451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.67 % (3011451)CaDiCaL version: 2.1.3
% 2.31/0.67 % (3011451)Termination reason: Instruction limit
% 2.31/0.67 % (3011451)Termination phase: shuffling
% 2.31/0.67 % (3011451)Time elapsed: 0.014 s
% 2.31/0.67 % (3011451)Peak memory usage: 10 MB
% 2.31/0.67 % (3011451)Instructions burned: 31 (million)
% 2.31/0.67 % (3011462)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=831910620:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.31/0.67 % (3011466)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.31/0.67 % (3011466)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2366437901:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 2.31/0.67 % (3011465)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2540058411:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.31/0.67 % (3011466)Instruction limit reached!
% 2.31/0.67 % (3011466)------------------------------
% 2.31/0.67 % (3011466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.67 % (3011466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.67 % (3011466)CaDiCaL version: 2.1.3
% 2.31/0.67 % (3011466)Termination reason: Instruction limit
% 2.31/0.67 % (3011466)Termination phase: shuffling
% 2.31/0.67 % (3011466)Time elapsed: 0.004 s
% 2.31/0.67 % (3011466)Peak memory usage: 10 MB
% 2.31/0.67 % (3011466)Instructions burned: 8 (million)
% 2.31/0.67 % (3011461)Instruction limit reached!
% 2.31/0.67 % (3011461)------------------------------
% 2.31/0.67 % (3011461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.67 % (3011461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.67 % (3011461)CaDiCaL version: 2.1.3
% 2.31/0.67 % (3011461)Termination reason: Instruction limit
% 2.31/0.67 % (3011461)Termination phase: Saturation
% 2.31/0.67 % (3011461)Time elapsed: 0.036 s
% 2.31/0.67 % (3011461)Peak memory usage: 14 MB
% 2.31/0.67 % (3011461)Instructions burned: 146 (million)
% 2.69/0.71 % (3011465)Instruction limit reached!
% 2.69/0.71 % (3011465)------------------------------
% 2.69/0.71 % (3011465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.71 % (3011465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.71 % (3011465)CaDiCaL version: 2.1.3
% 2.69/0.71 % (3011465)Termination reason: Instruction limit
% 2.69/0.71 % (3011465)Termination phase: Preprocessing 3
% 2.69/0.71 % (3011465)Time elapsed: 0.019 s
% 2.69/0.71 % (3011465)Peak memory usage: 11 MB
% 2.69/0.71 % (3011465)Instructions burned: 42 (million)
% 2.69/0.71 % (3011470)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3594850811:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.69/0.71 % (3011471)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=4106832116: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)
% 2.69/0.71 % (3011472)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.69/0.71 % (3011472)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1188331002:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.69/0.71 % (3011472)Instruction limit reached!
% 2.69/0.71 % (3011472)------------------------------
% 2.69/0.71 % (3011472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.71 % (3011472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.71 % (3011472)CaDiCaL version: 2.1.3
% 2.69/0.71 % (3011472)Termination reason: Instruction limit
% 2.69/0.71 % (3011472)Termination phase: shuffling
% 2.69/0.71 % (3011472)Time elapsed: 0.003 s
% 2.69/0.71 % (3011472)Peak memory usage: 10 MB
% 2.69/0.71 % (3011472)Instructions burned: 7 (million)
% 2.69/0.71 % (3011471)Refutation not found, incomplete strategy
% 2.69/0.71 % (3011471)------------------------------
% 2.69/0.71 % (3011471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.71 % (3011471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.71 % (3011471)CaDiCaL version: 2.1.3
% 2.69/0.71 % (3011471)Termination reason: Refutation not found, incomplete strategy
% 2.69/0.71 % (3011471)Time elapsed: 0.019 s
% 2.69/0.71 % (3011471)Peak memory usage: 13 MB
% 2.69/0.71 % (3011471)Instructions burned: 70 (million)
% 2.69/0.71 % (3011471)------------------------------
% 2.69/0.71 % (3011471)------------------------------
% 2.69/0.71 % (3011476)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1384197826:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.69/0.71 % (3011477)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3119927731:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.69/0.71 % (3011477)Instruction limit reached!
% 2.69/0.71 % (3011477)------------------------------
% 2.69/0.71 % (3011477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.71 % (3011477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.71 % (3011477)CaDiCaL version: 2.1.3
% 2.69/0.71 % (3011477)Termination reason: Instruction limit
% 2.69/0.71 % (3011477)Termination phase: shuffling
% 2.69/0.71 % (3011477)Time elapsed: 0.005 s
% 2.69/0.71 % (3011477)Peak memory usage: 10 MB
% 2.69/0.71 % (3011477)Instructions burned: 22 (million)
% 2.69/0.71 % (3011476)Instruction limit reached!
% 2.69/0.71 % (3011476)------------------------------
% 2.69/0.71 % (3011476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.71 % (3011476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.71 % (3011476)CaDiCaL version: 2.1.3
% 2.69/0.71 % (3011476)Termination reason: Instruction limit
% 2.69/0.71 % (3011476)Termination phase: Property scanning
% 2.69/0.71 % (3011476)Time elapsed: 0.010 s
% 2.69/0.71 % (3011476)Peak memory usage: 10 MB
% 2.69/0.71 % (3011476)Instructions burned: 23 (million)
% 2.69/0.71 % (3011434)Instruction limit reached!
% 2.69/0.71 % (3011434)------------------------------
% 2.69/0.71 % (3011434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.71 % (3011434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.78 % (3011434)CaDiCaL version: 2.1.3
% 2.69/0.78 % (3011434)Termination reason: Instruction limit
% 2.69/0.78 % (3011434)Termination phase: Saturation
% 2.69/0.78 % (3011434)Time elapsed: 0.167 s
% 2.69/0.78 % (3011434)Peak memory usage: 14 MB
% 2.69/0.78 % (3011434)Instructions burned: 329 (million)
% 2.69/0.78 % (3011480)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=1875538773:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.69/0.78 % (3011462)Instruction limit reached!
% 2.69/0.78 % (3011462)------------------------------
% 2.69/0.78 % (3011462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.78 % (3011462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.78 % (3011462)CaDiCaL version: 2.1.3
% 2.69/0.78 % (3011462)Termination reason: Instruction limit
% 2.69/0.78 % (3011462)Termination phase: Saturation
% 2.69/0.78 % (3011462)Time elapsed: 0.098 s
% 2.69/0.78 % (3011462)Peak memory usage: 14 MB
% 2.69/0.78 % (3011462)Instructions burned: 195 (million)
% 2.69/0.78 % (3011481)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=1084142964: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)
% 2.69/0.78 % (3011483)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=1374803002: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)
% 2.69/0.78 % (3011484)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1209306256:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.69/0.78 % (3011470)Instruction limit reached!
% 2.69/0.78 % (3011470)------------------------------
% 2.69/0.78 % (3011470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.78 % (3011470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.78 % (3011470)CaDiCaL version: 2.1.3
% 2.69/0.78 % (3011470)Termination reason: Instruction limit
% 2.69/0.78 % (3011470)Termination phase: Saturation
% 2.69/0.78 % (3011470)Time elapsed: 0.095 s
% 2.69/0.78 % (3011470)Peak memory usage: 14 MB
% 2.69/0.78 % (3011470)Instructions burned: 182 (million)
% 2.69/0.78 % (3011483)Instruction limit reached!
% 2.69/0.78 % (3011483)------------------------------
% 2.69/0.78 % (3011483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.78 % (3011483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.78 % (3011483)CaDiCaL version: 2.1.3
% 2.69/0.78 % (3011483)Termination reason: Instruction limit
% 2.69/0.78 % (3011483)Termination phase: Property scanning
% 2.69/0.78 % (3011483)Time elapsed: 0.019 s
% 2.69/0.78 % (3011483)Peak memory usage: 10 MB
% 2.69/0.78 % (3011483)Instructions burned: 45 (million)
% 2.69/0.78 % (3011489)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.69/0.78 % (3011489)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3195352246:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.69/0.78 % (3011488)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=795618746: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)
% 2.69/0.78 % (3011488)Instruction limit reached!
% 2.69/0.78 % (3011488)------------------------------
% 2.69/0.78 % (3011488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.78 % (3011488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.78 % (3011488)CaDiCaL version: 2.1.3
% 2.69/0.78 % (3011488)Termination reason: Instruction limit
% 2.69/0.78 % (3011488)Termination phase: Property scanning
% 2.69/0.78 % (3011488)Time elapsed: 0.010 s
% 2.69/0.78 % (3011488)Peak memory usage: 10 MB
% 2.69/0.78 % (3011488)Instructions burned: 23 (million)
% 2.69/0.78 % (3011401)Instruction limit reached!
% 2.69/0.78 % (3011401)------------------------------
% 2.69/0.78 % (3011401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.78 % (3011401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/0.94 % (3011401)CaDiCaL version: 2.1.3
% 3.70/0.94 % (3011401)Termination reason: Instruction limit
% 3.70/0.94 % (3011401)Termination phase: Saturation
% 3.70/0.94 % (3011401)Time elapsed: 0.333 s
% 3.70/0.94 % (3011401)Peak memory usage: 15 MB
% 3.70/0.94 % (3011401)Instructions burned: 634 (million)
% 3.70/0.94 % (3011484)Refutation not found, incomplete strategy
% 3.70/0.94 % (3011484)------------------------------
% 3.70/0.94 % (3011484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.70/0.94 % (3011484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/0.94 % (3011484)CaDiCaL version: 2.1.3
% 3.70/0.94 % (3011484)Termination reason: Refutation not found, incomplete strategy
% 3.70/0.94 % (3011484)Time elapsed: 0.057 s
% 3.70/0.94 % (3011484)Peak memory usage: 14 MB
% 3.70/0.94 % (3011484)Instructions burned: 122 (million)
% 3.70/0.94 % (3011480)Instruction limit reached!
% 3.70/0.94 % (3011480)------------------------------
% 3.70/0.94 % (3011480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.70/0.94 % (3011480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/0.94 % (3011480)CaDiCaL version: 2.1.3
% 3.70/0.94 % (3011480)Termination reason: Instruction limit
% 3.70/0.94 % (3011480)Termination phase: Saturation
% 3.70/0.94 % (3011480)Time elapsed: 0.087 s
% 3.70/0.94 % (3011480)Peak memory usage: 16 MB
% 3.70/0.94 % (3011480)Instructions burned: 317 (million)
% 3.70/0.94 % (3011484)------------------------------
% 3.70/0.94 % (3011484)------------------------------
% 3.70/0.94 % (3011492)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3388864742:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.70/0.94 % (3011492)Instruction limit reached!
% 3.70/0.94 % (3011492)------------------------------
% 3.70/0.94 % (3011492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.70/0.94 % (3011492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/0.94 % (3011492)CaDiCaL version: 2.1.3
% 3.70/0.94 % (3011492)Termination reason: Instruction limit
% 3.70/0.94 % (3011492)Termination phase: shuffling
% 3.70/0.94 % (3011492)Time elapsed: 0.006 s
% 3.70/0.94 % (3011492)Peak memory usage: 10 MB
% 3.70/0.94 % (3011492)Instructions burned: 13 (million)
% 3.70/0.94 % (3011494)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2846443254:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.70/0.94 % (3011493)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=1418626252:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.70/0.94 % (3011496)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3395323718:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.70/0.94 % (3011494)Instruction limit reached!
% 3.70/0.94 % (3011494)------------------------------
% 3.70/0.94 % (3011494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.70/0.94 % (3011494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/0.94 % (3011494)CaDiCaL version: 2.1.3
% 3.70/0.94 % (3011494)Termination reason: Instruction limit
% 3.70/0.94 % (3011494)Termination phase: Property scanning
% 3.70/0.94 % (3011494)Time elapsed: 0.012 s
% 3.70/0.94 % (3011494)Peak memory usage: 11 MB
% 3.70/0.94 % (3011494)Instructions burned: 52 (million)
% 3.70/0.94 % (3011497)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=154243640:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.70/0.94 % (3011501)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3112240591:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.70/0.94 % (3011496)Instruction limit reached!
% 3.70/0.94 % (3011496)------------------------------
% 3.70/0.94 % (3011496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.70/0.94 % (3011496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/0.94 % (3011496)CaDiCaL version: 2.1.3
% 3.70/0.94 % (3011496)Termination reason: Instruction limit
% 3.70/0.94 % (3011496)Termination phase: Property scanning
% 3.70/0.94 % (3011496)Time elapsed: 0.015 s
% 3.70/0.94 % (3011496)Peak memory usage: 11 MB
% 5.26/1.05 % (3011496)Instructions burned: 33 (million)
% 5.26/1.05 % (3011501)Instruction limit reached!
% 5.26/1.05 % (3011501)------------------------------
% 5.26/1.05 % (3011501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.05 % (3011501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.05 % (3011501)CaDiCaL version: 2.1.3
% 5.26/1.05 % (3011501)Termination reason: Instruction limit
% 5.26/1.05 % (3011501)Termination phase: Property scanning
% 5.26/1.05 % (3011501)Time elapsed: 0.008 s
% 5.26/1.05 % (3011501)Peak memory usage: 10 MB
% 5.26/1.05 % (3011501)Instructions burned: 35 (million)
% 5.26/1.05 % (3011493)Instruction limit reached!
% 5.26/1.05 % (3011493)------------------------------
% 5.26/1.05 % (3011493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.05 % (3011493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.05 % (3011493)CaDiCaL version: 2.1.3
% 5.26/1.05 % (3011493)Termination reason: Instruction limit
% 5.26/1.05 % (3011493)Termination phase: SInE selection
% 5.26/1.05 % (3011493)Time elapsed: 0.030 s
% 5.26/1.05 % (3011493)Peak memory usage: 11 MB
% 5.26/1.05 % (3011493)Instructions burned: 67 (million)
% 5.26/1.05 % (3011505)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.26/1.05 % (3011504)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=974797512:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 5.26/1.05 % (3011505)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=4019773850:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 5.26/1.05 % (3011489)Instruction limit reached!
% 5.26/1.05 % (3011489)------------------------------
% 5.26/1.05 % (3011489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.05 % (3011489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.05 % (3011489)CaDiCaL version: 2.1.3
% 5.26/1.05 % (3011489)Termination reason: Instruction limit
% 5.26/1.05 % (3011489)Termination phase: Saturation
% 5.26/1.05 % (3011489)Time elapsed: 0.094 s
% 5.26/1.05 % (3011489)Peak memory usage: 13 MB
% 5.26/1.05 % (3011489)Instructions burned: 200 (million)
% 5.26/1.05 % (3011506)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=143840461:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 5.26/1.05 % (3011510)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3085489581:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 5.26/1.05 % (3011504)Instruction limit reached!
% 5.26/1.05 % (3011504)------------------------------
% 5.26/1.05 % (3011504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.05 % (3011504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.05 % (3011504)CaDiCaL version: 2.1.3
% 5.26/1.05 % (3011504)Termination reason: Instruction limit
% 5.26/1.05 % (3011504)Termination phase: Property scanning
% 5.26/1.05 % (3011504)Time elapsed: 0.031 s
% 5.26/1.05 % (3011504)Peak memory usage: 11 MB
% 5.26/1.05 % (3011504)Instructions burned: 69 (million)
% 5.26/1.05 % (3011497)Instruction limit reached!
% 5.26/1.05 % (3011497)------------------------------
% 5.26/1.05 % (3011497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.05 % (3011497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.05 % (3011497)CaDiCaL version: 2.1.3
% 5.26/1.05 % (3011497)Termination reason: Instruction limit
% 5.26/1.05 % (3011497)Termination phase: Saturation
% 5.26/1.05 % (3011497)Time elapsed: 0.067 s
% 5.26/1.05 % (3011497)Peak memory usage: 13 MB
% 5.26/1.05 % (3011497)Instructions burned: 137 (million)
% 5.26/1.05 % (3011505)Instruction limit reached!
% 5.26/1.05 % (3011505)------------------------------
% 5.26/1.05 % (3011505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.05 % (3011505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.05 % (3011505)CaDiCaL version: 2.1.3
% 5.26/1.05 % (3011505)Termination reason: Instruction limit
% 5.26/1.05 % (3011505)Termination phase: Saturation
% 5.26/1.05 % (3011505)Time elapsed: 0.041 s
% 5.26/1.05 % (3011505)Peak memory usage: 13 MB
% 5.26/1.05 % (3011505)Instructions burned: 182 (million)
% 5.26/1.05 % (3011512)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=4008506451:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 5.70/1.15 % (3011513)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2776541199:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 5.70/1.15 % (3011514)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=981919957:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 5.70/1.15 % (3011510)Instruction limit reached!
% 5.70/1.15 % (3011510)------------------------------
% 5.70/1.15 % (3011510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.15 % (3011510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.15 % (3011510)CaDiCaL version: 2.1.3
% 5.70/1.15 % (3011510)Termination reason: Instruction limit
% 5.70/1.15 % (3011510)Termination phase: Saturation
% 5.70/1.15 % (3011510)Time elapsed: 0.044 s
% 5.70/1.15 % (3011510)Peak memory usage: 13 MB
% 5.70/1.15 % (3011510)Instructions burned: 97 (million)
% 5.70/1.15 % (3011512)Refutation not found, incomplete strategy
% 5.70/1.15 % (3011512)------------------------------
% 5.70/1.15 % (3011512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.15 % (3011512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.15 % (3011512)CaDiCaL version: 2.1.3
% 5.70/1.15 % (3011512)Termination reason: Refutation not found, incomplete strategy
% 5.70/1.15 % (3011512)Time elapsed: 0.026 s
% 5.70/1.15 % (3011512)Peak memory usage: 13 MB
% 5.70/1.15 % (3011512)Instructions burned: 55 (million)
% 5.70/1.15 % (3011512)------------------------------
% 5.70/1.15 % (3011512)------------------------------
% 5.70/1.15 % (3011518)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3609115120:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.70/1.15 % (3011519)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3344525080:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.70/1.15 % (3011519)Instruction limit reached!
% 5.70/1.15 % (3011519)------------------------------
% 5.70/1.15 % (3011519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.15 % (3011519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.15 % (3011519)CaDiCaL version: 2.1.3
% 5.70/1.15 % (3011519)Termination reason: Instruction limit
% 5.70/1.15 % (3011519)Termination phase: Property scanning
% 5.70/1.15 % (3011519)Time elapsed: 0.020 s
% 5.70/1.15 % (3011519)Peak memory usage: 10 MB
% 5.70/1.15 % (3011519)Instructions burned: 46 (million)
% 5.70/1.15 % (3011522)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1362601554:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 5.70/1.15 % (3011506)Instruction limit reached!
% 5.70/1.15 % (3011506)------------------------------
% 5.70/1.15 % (3011506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.15 % (3011506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.15 % (3011506)CaDiCaL version: 2.1.3
% 5.70/1.15 % (3011506)Termination reason: Instruction limit
% 5.70/1.15 % (3011506)Termination phase: Saturation
% 5.70/1.15 % (3011506)Time elapsed: 0.128 s
% 5.70/1.15 % (3011506)Peak memory usage: 14 MB
% 5.70/1.15 % (3011506)Instructions burned: 247 (million)
% 5.70/1.15 % (3011518)Instruction limit reached!
% 5.70/1.15 % (3011518)------------------------------
% 5.70/1.15 % (3011518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.15 % (3011518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.15 % (3011518)CaDiCaL version: 2.1.3
% 5.70/1.15 % (3011518)Termination reason: Instruction limit
% 5.70/1.15 % (3011518)Termination phase: Saturation
% 5.70/1.15 % (3011518)Time elapsed: 0.060 s
% 5.70/1.15 % (3011518)Peak memory usage: 13 MB
% 5.70/1.15 % (3011518)Instructions burned: 131 (million)
% 5.70/1.15 % (3011524)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3718758297:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 5.70/1.15 % (3011525)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2272994563:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 5.70/1.15 % (3011525)Instruction limit reached!
% 5.70/1.15 % (3011525)------------------------------
% 5.70/1.15 % (3011525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011525)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011525)Termination reason: Instruction limit
% 5.79/1.21 % (3011525)Termination phase: Saturation
% 5.79/1.21 % (3011525)Time elapsed: 0.042 s
% 5.79/1.21 % (3011525)Peak memory usage: 13 MB
% 5.79/1.21 % (3011525)Instructions burned: 95 (million)
% 5.79/1.21 % (3011528)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=2609036771:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.79/1.21 % (3011528)Instruction limit reached!
% 5.79/1.21 % (3011528)------------------------------
% 5.79/1.21 % (3011528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011528)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011528)Termination reason: Instruction limit
% 5.79/1.21 % (3011528)Termination phase: SInE selection
% 5.79/1.21 % (3011528)Time elapsed: 0.029 s
% 5.79/1.21 % (3011528)Peak memory usage: 11 MB
% 5.79/1.21 % (3011528)Instructions burned: 66 (million)
% 5.79/1.21 % (3011513)Instruction limit reached!
% 5.79/1.21 % (3011513)------------------------------
% 5.79/1.21 % (3011513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011513)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011513)Termination reason: Instruction limit
% 5.79/1.21 % (3011513)Termination phase: Saturation
% 5.79/1.21 % (3011513)Time elapsed: 0.226 s
% 5.79/1.21 % (3011513)Peak memory usage: 16 MB
% 5.79/1.21 % (3011513)Instructions burned: 874 (million)
% 5.79/1.21 % (3011530)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1273036434:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2992 on theBenchmark for (2992ds/105Mi)
% 5.79/1.21 % (3011531)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=1759865180:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2992 on theBenchmark for (2992ds/5755Mi)
% 5.79/1.21 % (3011481)Instruction limit reached!
% 5.79/1.21 % (3011481)------------------------------
% 5.79/1.21 % (3011481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011481)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011481)Termination reason: Instruction limit
% 5.79/1.21 % (3011481)Termination phase: Saturation
% 5.79/1.21 % (3011481)Time elapsed: 0.429 s
% 5.79/1.21 % (3011481)Peak memory usage: 17 MB
% 5.79/1.21 % (3011481)Instructions burned: 854 (million)
% 5.79/1.21 % (3011514)Instruction limit reached!
% 5.79/1.21 % (3011514)------------------------------
% 5.79/1.21 % (3011514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011514)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011514)Termination reason: Instruction limit
% 5.79/1.21 % (3011514)Termination phase: Saturation
% 5.79/1.21 % (3011514)Time elapsed: 0.255 s
% 5.79/1.21 % (3011514)Peak memory usage: 14 MB
% 5.79/1.21 % (3011514)Instructions burned: 516 (million)
% 5.79/1.21 % (3011456)Instruction limit reached!
% 5.79/1.21 % (3011456)------------------------------
% 5.79/1.21 % (3011456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011456)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011456)Termination reason: Instruction limit
% 5.79/1.21 % (3011456)Termination phase: Saturation
% 5.79/1.21 % (3011456)Time elapsed: 0.563 s
% 5.79/1.21 % (3011456)Peak memory usage: 16 MB
% 5.79/1.21 % (3011456)Instructions burned: 1241 (million)
% 5.79/1.21 % (3011534)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1590861919:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/375Mi)
% 5.79/1.21 % (3011530)Instruction limit reached!
% 5.79/1.21 % (3011530)------------------------------
% 5.79/1.21 % (3011530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011530)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011530)Termination reason: Instruction limit
% 5.79/1.21 % (3011530)Termination phase: Property scanning
% 5.79/1.21 % (3011530)Time elapsed: 0.045 s
% 5.79/1.21 % (3011530)Peak memory usage: 11 MB
% 5.79/1.21 % (3011530)Instructions burned: 105 (million)
% 5.79/1.21 % (3011535)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1183185568:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 5.79/1.21 % (3011536)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3752282872:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 5.79/1.21 % (3011538)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1247271147:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 5.79/1.21 % (3011536)Instruction limit reached!
% 5.79/1.21 % (3011536)------------------------------
% 5.79/1.21 % (3011536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011536)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011536)Termination reason: Instruction limit
% 5.79/1.21 % (3011536)Termination phase: Property scanning
% 5.79/1.21 % (3011536)Time elapsed: 0.016 s
% 5.79/1.21 % (3011536)Peak memory usage: 10 MB
% 5.79/1.21 % (3011536)Instructions burned: 36 (million)
% 5.79/1.21 % (3011542)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2408602879:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 5.79/1.21 % (3011538)Instruction limit reached!
% 5.79/1.21 % (3011538)------------------------------
% 5.79/1.21 % (3011538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011538)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011538)Termination reason: Instruction limit
% 5.79/1.21 % (3011538)Termination phase: Saturation
% 5.79/1.21 % (3011538)Time elapsed: 0.042 s
% 5.79/1.21 % (3011538)Peak memory usage: 13 MB
% 5.79/1.21 % (3011538)Instructions burned: 92 (million)
% 5.79/1.21 % (3011524)Instruction limit reached!
% 5.79/1.21 % (3011524)------------------------------
% 5.79/1.21 % (3011524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011524)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011524)Termination reason: Instruction limit
% 5.79/1.21 % (3011524)Termination phase: Saturation
% 5.79/1.21 % (3011524)Time elapsed: 0.237 s
% 5.79/1.21 % (3011524)Peak memory usage: 15 MB
% 5.79/1.21 % (3011524)Instructions burned: 451 (million)
% 5.79/1.21 % (3011542)Instruction limit reached!
% 5.79/1.21 % (3011542)------------------------------
% 5.79/1.21 % (3011542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011542)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011542)Termination reason: Instruction limit
% 5.79/1.21 % (3011542)Termination phase: Saturation
% 5.79/1.21 % (3011542)Time elapsed: 0.031 s
% 5.79/1.21 % (3011542)Peak memory usage: 13 MB
% 5.79/1.21 % (3011542)Instructions burned: 66 (million)
% 5.79/1.21 % (3011544)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2194034259:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2991 on theBenchmark for (2991ds/22Mi)
% 5.79/1.21 % (3011545)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=3063888842:i=338:bd=all:ins=4:rtra=on_2991 on theBenchmark for (2991ds/338Mi)
% 5.79/1.21 % (3011544)Instruction limit reached!
% 5.79/1.21 % (3011544)------------------------------
% 5.79/1.21 % (3011544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011544)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011544)Termination reason: Instruction limit
% 5.79/1.21 % (3011544)Termination phase: Property scanning
% 5.79/1.21 % (3011544)Time elapsed: 0.011 s
% 5.79/1.21 % (3011544)Peak memory usage: 10 MB
% 5.79/1.21 % (3011544)Instructions burned: 23 (million)
% 5.79/1.21 % (3011546)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2949270165:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/28Mi)
% 5.79/1.21 % (3011522)Instruction limit reached!
% 5.79/1.21 % (3011522)------------------------------
% 5.79/1.21 % (3011522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011522)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011522)Termination reason: Instruction limit
% 5.79/1.21 % (3011522)Termination phase: Saturation
% 5.79/1.21 % (3011522)Time elapsed: 0.285 s
% 5.79/1.21 % (3011522)Peak memory usage: 15 MB
% 5.79/1.21 % (3011522)Instructions burned: 573 (million)
% 5.79/1.21 % (3011549)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.79/1.21 % (3011546)Instruction limit reached!
% 5.79/1.21 % (3011546)------------------------------
% 5.79/1.21 % (3011546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011546)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011546)Termination reason: Instruction limit
% 5.79/1.21 % (3011546)Termination phase: Property scanning
% 5.79/1.21 % (3011546)Time elapsed: 0.013 s
% 5.79/1.21 % (3011546)Peak memory usage: 10 MB
% 5.79/1.21 % (3011546)Instructions burned: 28 (million)
% 5.79/1.21 % (3011549)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=219048243:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/137Mi)
% 5.79/1.21 % (3011551)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=356842564:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 5.79/1.21 % (3011553)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=564228161:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 5.79/1.21 % (3011534) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3011393-3011534"...
% 5.79/1.21 % (3011534)...printing done.
% 5.79/1.21 % (3011553)Refutation not found, incomplete strategy
% 5.79/1.21 % (3011553)------------------------------
% 5.79/1.21 % (3011553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011553)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011553)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.21 % (3011553)Time elapsed: 0.026 s
% 5.79/1.21 % (3011553)Peak memory usage: 13 MB
% 5.79/1.21 % (3011553)Instructions burned: 54 (million)
% 5.79/1.21 % (3011534)Refutation found. Thanks to Tanya!
% 5.79/1.21 % SZS status Theorem for theBenchmark
% 5.79/1.21 % SZS output start Proof for theBenchmark
% 5.79/1.21 thf(type_def_5, type, huffma16452318e_tree: $tType > $tType).
% 5.79/1.21 thf(type_def_6, type, set: $tType > $tType).
% 5.79/1.21 thf(type_def_7, type, nat: $tType).
% 5.79/1.21 thf(type_def_8, type, itself: $tType > $tType).
% 5.79/1.21 thf(type_def_9, type, a: $tType).
% 5.79/1.21 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 5.79/1.21 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_1, type, ring: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_2, type, zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_3, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_4, type, semiring: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_5, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_6, type, mult_zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_7, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_8, type, monoid_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_9, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_10, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_11, type, ordered_ring: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_12, type, comm_semiring: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_13, type, semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_14, type, semigroup_mult: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_15, type, comm_semiring_1: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_16, type, linordered_ring: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_17, type, comm_monoid_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_18, type, ordered_semiring: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_19, type, linordered_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_20, type, ab_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_21, type, ab_semigroup_mult: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_22, type, ordered_semiring_0: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_23, type, cancel_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_24, type, ordere1490568538miring: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_25, type, linord581940658strict: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_26, type, cancel1352612707id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_27, type, linord219039673up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_28, type, ordere216010020id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_29, type, ordere779506340up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_30, type, semiri1193490041visors: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_31, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_32, type, ordere236663937imp_le: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_33, type, semiri1923998003cancel: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_34, type, ordere516151231imp_le: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_35, type, semiri456707255roduct: !>[X0: $tType]:((itself @ X0 > $o))).
% 5.79/1.21 thf(func_def_36, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 5.79/1.21 thf(func_def_37, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 5.79/1.21 thf(func_def_38, type, zero_zero: !>[X0: $tType]:(X0)).
% 5.79/1.21 thf(func_def_39, type, huffma505251170phabet: !>[X0: $tType]:((huffma16452318e_tree @ X0 > set @ X0))).
% 5.79/1.21 thf(func_def_40, type, huffma787811817Weight: !>[X0: $tType]:((huffma16452318e_tree @ X0 > nat))).
% 5.79/1.21 thf(func_def_41, type, huffma1050891809istent: !>[X0: $tType]:((huffma16452318e_tree @ X0 > $o))).
% 5.79/1.21 thf(func_def_42, type, huffma636208924e_cost: !>[X0: $tType]:((huffma16452318e_tree @ X0 > nat))).
% 5.79/1.21 thf(func_def_43, type, huffma223349076_depth: !>[X0: $tType]:((huffma16452318e_tree @ X0 > X0 > nat))).
% 5.79/1.21 thf(func_def_44, type, huffma854352999e_freq: !>[X0: $tType]:((huffma16452318e_tree @ X0 > X0 > nat))).
% 5.79/1.21 thf(func_def_45, type, huffma1554076246height: !>[X0: $tType]:((huffma16452318e_tree @ X0 > nat))).
% 5.79/1.21 thf(func_def_46, type, huffma936049440ptimum: !>[X0: $tType]:((huffma16452318e_tree @ X0 > $o))).
% 5.79/1.21 thf(func_def_47, type, huffma943100115ibling: !>[X0: $tType]:((huffma16452318e_tree @ X0 > X0 > X0))).
% 5.79/1.21 thf(func_def_48, type, huffma2094459102Leaves: !>[X0: $tType]:((huffma16452318e_tree @ X0 > nat > X0 > nat > X0 > huffma16452318e_tree @ X0))).
% 5.79/1.21 thf(func_def_49, type, huffma469337550apSyms: !>[X0: $tType]:((huffma16452318e_tree @ X0 > X0 > X0 > huffma16452318e_tree @ X0))).
% 5.79/1.21 thf(func_def_50, type, huffma453905539eTrees: !>[X0: $tType]:((huffma16452318e_tree @ X0 > huffma16452318e_tree @ X0 > huffma16452318e_tree @ X0))).
% 5.79/1.21 thf(func_def_51, type, huffma691733767weight: !>[X0: $tType]:((huffma16452318e_tree @ X0 > nat))).
% 5.79/1.21 thf(func_def_52, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 5.79/1.21 thf(func_def_53, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 5.79/1.21 thf(func_def_54, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 5.79/1.21 thf(func_def_55, type, type2: !>[X0: $tType]:(itself @ X0)).
% 5.79/1.21 thf(func_def_56, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 5.79/1.21 thf(func_def_57, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 5.79/1.21 thf(func_def_58, type, a2: a).
% 5.79/1.21 thf(func_def_59, type, b: a).
% 5.79/1.21 thf(func_def_60, type, t: huffma16452318e_tree @ a).
% 5.79/1.21 thf(func_def_64, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 5.79/1.21 thf(func_def_65, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 5.79/1.21 thf(func_def_66, type, vIMP: ($o > $o > $o)).
% 5.79/1.21 thf(func_def_67, type, db0: !>[X0: $tType]:(X0)).
% 5.79/1.21 thf(func_def_68, type, db1: !>[X0: $tType]:(X0)).
% 5.79/1.21 thf(func_def_69, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 5.79/1.21 thf(func_def_70, type, vOR: ($o > $o > $o)).
% 5.79/1.21 thf(func_def_71, type, vAND: ($o > $o > $o)).
% 5.79/1.21 thf(func_def_72, type, vNOT: ($o > $o)).
% 5.79/1.21 thf(func_def_73, type, db2: !>[X0: $tType]:(X0)).
% 5.79/1.21 thf(func_def_74, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 5.79/1.21 thf(func_def_75, type, sK0: !>[X0: $tType]:((huffma16452318e_tree @ X0 > X0))).
% 5.79/1.21 thf(func_def_76, type, sK1: !>[X0: $tType]:((huffma16452318e_tree @ X0 > X0))).
% 5.79/1.21 thf(func_def_77, type, sK2: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 5.79/1.21 thf(func_def_78, type, sK3: (nat > nat > nat)).
% 5.79/1.21 thf(f1,axiom,(
% 5.79/1.21 (huffma1050891809istent @ a @ t)),
% 5.79/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I1_J)).
% 5.79/1.21 thf(f2,axiom,(
% 5.79/1.21 (member @ a @ b @ (huffma505251170phabet @ a @ t))),
% 5.79/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms_I3_J)).
% 5.79/1.21 thf(f3,axiom,(
% 5.79/1.21 (member @ a @ a2 @ (huffma505251170phabet @ a @ t))),
% 5.79/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_assms_I2_J)).
% 5.79/1.21 thf(f10,axiom,(
% 5.79/1.21 ! [X0 : $tType,X3 : X0,X1 : huffma16452318e_tree @ X0,X2 : X0] : ((huffma1050891809istent @ X0 @ X1) => ((member @ X0 @ X2 @ (huffma505251170phabet @ X0 @ X1)) => ((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X1)) => (((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ (huffma469337550apSyms @ X0 @ X1 @ X2 @ X3)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X2))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X3)))) = ((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X1) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X3))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X2))))))))),
% 5.79/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_cost__swapSyms)).
% 5.79/1.21 thf(f110,axiom,(
% 5.79/1.21 ! [X0 : $tType] : ((comm_semiring_1 @ X0 @ type2 @ X0) => ! [X2 : X0,X3 : X0,X1 : X0] : (((plus_plus @ X0 @ X1 @ (plus_plus @ X0 @ X2 @ X3))) = ((plus_plus @ X0 @ (plus_plus @ X0 @ X1 @ X2) @ X3))))),
% 5.79/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_semiring__normalization__rules_I25_J)).
% 5.79/1.21 thf(f112,axiom,(
% 5.79/1.21 ! [X0 : $tType] : ((comm_semiring_1 @ X0 @ type2 @ X0) => ! [X1 : X0,X3 : X0,X2 : X0] : (((plus_plus @ X0 @ (plus_plus @ X0 @ X1 @ X2) @ X3)) = ((plus_plus @ X0 @ (plus_plus @ X0 @ X1 @ X3) @ X2))))),
% 5.79/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_semiring__normalization__rules_I23_J)).
% 5.79/1.21 thf(f113,axiom,(
% 5.79/1.21 ! [X0 : $tType] : ((comm_semiring_1 @ X0 @ type2 @ X0) => ! [X1 : X0,X3 : X0,X2 : X0] : (((plus_plus @ X0 @ X1 @ (plus_plus @ X0 @ X2 @ X3))) = ((plus_plus @ X0 @ X2 @ (plus_plus @ X0 @ X1 @ X3)))))),
% 5.79/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_semiring__normalization__rules_I22_J)).
% 5.79/1.21 thf(f124,axiom,(
% 5.79/1.21 ! [X0 : $tType] : ((^[X1 : huffma16452318e_tree @ X0, X2 : X0, X3 : X0] : ((huffma2094459102Leaves @ X0 @ X1 @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ X2 @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ X3))) = huffma469337550apSyms @ X0)),
% 5.79/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_swapSyms__def)).
% 5.79/1.21 thf(f274,axiom,(
% 5.79/1.21 (comm_semiring_1 @ nat @ type2 @ nat)),
% 5.79/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Rings_Ocomm__semiring__1)).
% 5.79/1.21 thf(f296,conjecture,(
% 5.79/1.21 (((plus_plus @ nat @ (huffma636208924e_cost @ a @ (huffma469337550apSyms @ a @ t @ a2 @ b)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b))))) = ((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2))))))),
% 5.79/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 5.79/1.21 thf(f297,negated_conjecture,(
% 5.79/1.21 ~ (((plus_plus @ nat @ (huffma636208924e_cost @ a @ (huffma469337550apSyms @ a @ t @ a2 @ b)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b))))) = ((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2))))))),
% 5.79/1.21 inference(negated_conjecture,[status(cth)],[f296])).
% 5.79/1.21 thf(f364,plain,(
% 5.79/1.21 (huffma1050891809istent @ a @ t)),
% 5.79/1.21 inference(rectify,[],[f1])).
% 5.79/1.21 thf(f365,plain,(
% 5.79/1.21 (((huffma1050891809istent @ a @ t)) = $true)),
% 5.79/1.21 inference(fool_elimination,[],[f364])).
% 5.79/1.21 thf(f618,plain,(
% 5.79/1.21 ! [X0 : $tType,X1 : X0,X2 : huffma16452318e_tree @ X0,X3 : X0] : ((huffma1050891809istent @ X0 @ X2) => ((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X2)) => ((member @ X0 @ X1 @ (huffma505251170phabet @ X0 @ X2)) => (((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ (huffma469337550apSyms @ X0 @ X2 @ X3 @ X1)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X3) @ (huffma223349076_depth @ X0 @ X2 @ X3))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X1) @ (huffma223349076_depth @ X0 @ X2 @ X1)))) = ((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X2) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X3) @ (huffma223349076_depth @ X0 @ X2 @ X1))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X1) @ (huffma223349076_depth @ X0 @ X2 @ X3))))))))),
% 5.79/1.21 inference(rectify,[],[f10])).
% 5.79/1.21 thf(f619,plain,(
% 5.79/1.21 ! [X0 : $tType,X3 : X0,X2 : huffma16452318e_tree @ X0,X1 : X0] : ((((huffma1050891809istent @ X0 @ X2)) = $true) => ((((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X2))) = $true) => ((((member @ X0 @ X1 @ (huffma505251170phabet @ X0 @ X2))) = $true) => (((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ (huffma469337550apSyms @ X0 @ X2 @ X3 @ X1)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X3) @ (huffma223349076_depth @ X0 @ X2 @ X3))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X1) @ (huffma223349076_depth @ X0 @ X2 @ X1)))) = ((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X2) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X3) @ (huffma223349076_depth @ X0 @ X2 @ X1))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X1) @ (huffma223349076_depth @ X0 @ X2 @ X3))))))))),
% 5.79/1.21 inference(fool_elimination,[],[f618])).
% 5.79/1.21 thf(f624,plain,(
% 5.79/1.21 ! [X0 : $tType] : ((comm_semiring_1 @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (((plus_plus @ X0 @ X3 @ (plus_plus @ X0 @ X1 @ X2))) = ((plus_plus @ X0 @ (plus_plus @ X0 @ X3 @ X1) @ X2))))),
% 5.79/1.21 inference(rectify,[],[f110])).
% 5.79/1.21 thf(f625,plain,(
% 5.79/1.21 ! [X0 : $tType] : ((((comm_semiring_1 @ X0 @ type2 @ X0)) = $true) => ! [X2 : X0,X1 : X0,X3 : X0] : (((plus_plus @ X0 @ X3 @ (plus_plus @ X0 @ X1 @ X2))) = ((plus_plus @ X0 @ (plus_plus @ X0 @ X3 @ X1) @ X2))))),
% 5.79/1.21 inference(fool_elimination,[],[f624])).
% 5.79/1.21 thf(f675,plain,(
% 5.79/1.21 (member @ a @ b @ (huffma505251170phabet @ a @ t))),
% 5.79/1.21 inference(rectify,[],[f2])).
% 5.79/1.21 thf(f676,plain,(
% 5.79/1.21 (((member @ a @ b @ (huffma505251170phabet @ a @ t))) = $true)),
% 5.79/1.21 inference(fool_elimination,[],[f675])).
% 5.79/1.21 thf(f709,plain,(
% 5.79/1.21 (comm_semiring_1 @ nat @ type2 @ nat)),
% 5.79/1.21 inference(rectify,[],[f274])).
% 5.79/1.21 thf(f710,plain,(
% 5.79/1.21 (((comm_semiring_1 @ nat @ type2 @ nat)) = $true)),
% 5.79/1.21 inference(fool_elimination,[],[f709])).
% 5.79/1.21 thf(f790,plain,(
% 5.79/1.21 ! [X0 : $tType] : ((comm_semiring_1 @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (((plus_plus @ X0 @ X1 @ (plus_plus @ X0 @ X3 @ X2))) = ((plus_plus @ X0 @ X3 @ (plus_plus @ X0 @ X1 @ X2)))))),
% 5.79/1.21 inference(rectify,[],[f113])).
% 5.79/1.21 thf(f791,plain,(
% 5.79/1.21 ! [X0 : $tType] : ((((comm_semiring_1 @ X0 @ type2 @ X0)) = $true) => ! [X2 : X0,X3 : X0,X1 : X0] : (((plus_plus @ X0 @ X1 @ (plus_plus @ X0 @ X3 @ X2))) = ((plus_plus @ X0 @ X3 @ (plus_plus @ X0 @ X1 @ X2)))))),
% 5.79/1.21 inference(fool_elimination,[],[f790])).
% 5.79/1.21 thf(f792,plain,(
% 5.79/1.21 ! [X0 : $tType] : (huffma469337550apSyms @ X0 = (^[Y0 : huffma16452318e_tree @ X0]: ((^[Y1 : X0]: ((^[Y2 : X0]: (huffma2094459102Leaves @ X0 @ Y0 @ (huffma854352999e_freq @ X0 @ Y0 @ Y1) @ Y1 @ (huffma854352999e_freq @ X0 @ Y0 @ Y2) @ Y2)))))))),
% 5.79/1.21 inference(fool_elimination,[],[f124])).
% 5.79/1.21 thf(f801,plain,(
% 5.79/1.21 ! [X0 : $tType] : ((comm_semiring_1 @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0,X3 : X0] : (((plus_plus @ X0 @ (plus_plus @ X0 @ X1 @ X2) @ X3)) = ((plus_plus @ X0 @ (plus_plus @ X0 @ X1 @ X3) @ X2))))),
% 5.79/1.21 inference(rectify,[],[f112])).
% 5.79/1.21 thf(f802,plain,(
% 5.79/1.21 ! [X0 : $tType] : ((((comm_semiring_1 @ X0 @ type2 @ X0)) = $true) => ! [X2 : X0,X1 : X0,X3 : X0] : (((plus_plus @ X0 @ (plus_plus @ X0 @ X1 @ X2) @ X3)) = ((plus_plus @ X0 @ (plus_plus @ X0 @ X1 @ X3) @ X2))))),
% 5.79/1.21 inference(fool_elimination,[],[f801])).
% 5.79/1.21 thf(f815,plain,(
% 5.79/1.21 (member @ a @ a2 @ (huffma505251170phabet @ a @ t))),
% 5.79/1.21 inference(rectify,[],[f3])).
% 5.79/1.21 thf(f816,plain,(
% 5.79/1.21 (((member @ a @ a2 @ (huffma505251170phabet @ a @ t))) = $true)),
% 5.79/1.21 inference(fool_elimination,[],[f815])).
% 5.79/1.21 thf(f847,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (huffma636208924e_cost @ a @ (huffma469337550apSyms @ a @ t @ a2 @ b)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b))))) != ((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2))))))),
% 5.79/1.21 inference(flattening,[],[f297])).
% 5.79/1.21 thf(f868,plain,(
% 5.79/1.21 ! [X0 : $tType] : (! [X2 : X0,X1 : X0,X3 : X0] : (((plus_plus @ X0 @ X3 @ (plus_plus @ X0 @ X1 @ X2))) = ((plus_plus @ X0 @ (plus_plus @ X0 @ X3 @ X1) @ X2))) | (((comm_semiring_1 @ X0 @ type2 @ X0)) != $true))),
% 5.79/1.21 inference(ennf_transformation,[],[f625])).
% 5.79/1.21 thf(f889,plain,(
% 5.79/1.21 ! [X0 : $tType] : ((((comm_semiring_1 @ X0 @ type2 @ X0)) != $true) | ! [X2 : X0,X3 : X0,X1 : X0] : (((plus_plus @ X0 @ X1 @ (plus_plus @ X0 @ X3 @ X2))) = ((plus_plus @ X0 @ X3 @ (plus_plus @ X0 @ X1 @ X2)))))),
% 5.79/1.21 inference(ennf_transformation,[],[f791])).
% 5.79/1.21 thf(f895,plain,(
% 5.79/1.21 ! [X0 : $tType,X3 : X0,X2 : huffma16452318e_tree @ X0,X1 : X0] : ((((((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ (huffma469337550apSyms @ X0 @ X2 @ X3 @ X1)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X3) @ (huffma223349076_depth @ X0 @ X2 @ X3))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X1) @ (huffma223349076_depth @ X0 @ X2 @ X1)))) = ((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X2) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X3) @ (huffma223349076_depth @ X0 @ X2 @ X1))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X1) @ (huffma223349076_depth @ X0 @ X2 @ X3))))) | (((member @ X0 @ X1 @ (huffma505251170phabet @ X0 @ X2))) != $true)) | (((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X2))) != $true)) | (((huffma1050891809istent @ X0 @ X2)) != $true))),
% 5.79/1.21 inference(ennf_transformation,[],[f619])).
% 5.79/1.21 thf(f896,plain,(
% 5.79/1.21 ! [X0 : $tType,X2 : huffma16452318e_tree @ X0,X3 : X0,X1 : X0] : ((((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ (huffma469337550apSyms @ X0 @ X2 @ X3 @ X1)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X3) @ (huffma223349076_depth @ X0 @ X2 @ X3))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X1) @ (huffma223349076_depth @ X0 @ X2 @ X1)))) = ((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X2) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X3) @ (huffma223349076_depth @ X0 @ X2 @ X1))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X2 @ X1) @ (huffma223349076_depth @ X0 @ X2 @ X3))))) | (((huffma1050891809istent @ X0 @ X2)) != $true) | (((member @ X0 @ X1 @ (huffma505251170phabet @ X0 @ X2))) != $true) | (((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X2))) != $true))),
% 5.79/1.21 inference(flattening,[],[f895])).
% 5.79/1.21 thf(f911,plain,(
% 5.79/1.21 ! [X0 : $tType] : (! [X2 : X0,X1 : X0,X3 : X0] : (((plus_plus @ X0 @ (plus_plus @ X0 @ X1 @ X2) @ X3)) = ((plus_plus @ X0 @ (plus_plus @ X0 @ X1 @ X3) @ X2))) | (((comm_semiring_1 @ X0 @ type2 @ X0)) != $true))),
% 5.79/1.21 inference(ennf_transformation,[],[f802])).
% 5.79/1.21 thf(f960,plain,(
% 5.79/1.21 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (((plus_plus @ X0 @ (plus_plus @ X0 @ X3 @ X2) @ X1)) = ((plus_plus @ X0 @ X3 @ (plus_plus @ X0 @ X2 @ X1)))) | (((comm_semiring_1 @ X0 @ type2 @ X0)) != $true))),
% 5.79/1.21 inference(rectify,[],[f868])).
% 5.79/1.21 thf(f977,plain,(
% 5.79/1.21 ! [X0 : $tType] : (! [X1 : X0,X2 : X0,X3 : X0] : (((plus_plus @ X0 @ (plus_plus @ X0 @ X2 @ X3) @ X1)) = ((plus_plus @ X0 @ (plus_plus @ X0 @ X2 @ X1) @ X3))) | (((comm_semiring_1 @ X0 @ type2 @ X0)) != $true))),
% 5.79/1.21 inference(rectify,[],[f911])).
% 5.79/1.21 thf(f983,plain,(
% 5.79/1.21 ! [X0 : $tType] : ((((comm_semiring_1 @ X0 @ type2 @ X0)) != $true) | ! [X1 : X0,X2 : X0,X3 : X0] : (((plus_plus @ X0 @ X2 @ (plus_plus @ X0 @ X3 @ X1))) = ((plus_plus @ X0 @ X3 @ (plus_plus @ X0 @ X2 @ X1)))))),
% 5.79/1.21 inference(rectify,[],[f889])).
% 5.79/1.21 thf(f1009,plain,(
% 5.79/1.21 ! [X0 : $tType,X1 : huffma16452318e_tree @ X0,X2 : X0,X3 : X0] : ((((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ (huffma469337550apSyms @ X0 @ X1 @ X2 @ X3)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X2))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X3)))) = ((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X1) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X3))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X2))))) | (((huffma1050891809istent @ X0 @ X1)) != $true) | (((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X1))) != $true) | (((member @ X0 @ X2 @ (huffma505251170phabet @ X0 @ X1))) != $true))),
% 5.79/1.21 inference(rectify,[],[f896])).
% 5.79/1.21 thf(f1022,plain,(
% 5.79/1.21 ( ! [X0 : $tType] : ((huffma469337550apSyms @ X0 = (^[Y0 : huffma16452318e_tree @ X0]: ((^[Y1 : X0]: ((^[Y2 : X0]: (huffma2094459102Leaves @ X0 @ Y0 @ (huffma854352999e_freq @ X0 @ Y0 @ Y1) @ Y1 @ (huffma854352999e_freq @ X0 @ Y0 @ Y2) @ Y2)))))))) )),
% 5.79/1.21 inference(cnf_transformation,[],[f792])).
% 5.79/1.21 thf(f1043,plain,(
% 5.79/1.21 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((((comm_semiring_1 @ X0 @ type2 @ X0)) != $true) | (((plus_plus @ X0 @ (plus_plus @ X0 @ X3 @ X2) @ X1)) = ((plus_plus @ X0 @ X3 @ (plus_plus @ X0 @ X2 @ X1))))) )),
% 5.79/1.21 inference(cnf_transformation,[],[f960])).
% 5.79/1.21 thf(f1056,plain,(
% 5.79/1.21 (((member @ a @ b @ (huffma505251170phabet @ a @ t))) = $true)),
% 5.79/1.21 inference(cnf_transformation,[],[f676])).
% 5.79/1.21 thf(f1070,plain,(
% 5.79/1.21 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((((comm_semiring_1 @ X0 @ type2 @ X0)) != $true) | (((plus_plus @ X0 @ (plus_plus @ X0 @ X2 @ X3) @ X1)) = ((plus_plus @ X0 @ (plus_plus @ X0 @ X2 @ X1) @ X3)))) )),
% 5.79/1.21 inference(cnf_transformation,[],[f977])).
% 5.79/1.21 thf(f1079,plain,(
% 5.79/1.21 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : ((((comm_semiring_1 @ X0 @ type2 @ X0)) != $true) | (((plus_plus @ X0 @ X2 @ (plus_plus @ X0 @ X3 @ X1))) = ((plus_plus @ X0 @ X3 @ (plus_plus @ X0 @ X2 @ X1))))) )),
% 5.79/1.21 inference(cnf_transformation,[],[f983])).
% 5.79/1.21 thf(f1081,plain,(
% 5.79/1.21 (((comm_semiring_1 @ nat @ type2 @ nat)) = $true)),
% 5.79/1.21 inference(cnf_transformation,[],[f710])).
% 5.79/1.21 thf(f1107,plain,(
% 5.79/1.21 (((huffma1050891809istent @ a @ t)) = $true)),
% 5.79/1.21 inference(cnf_transformation,[],[f365])).
% 5.79/1.21 thf(f1118,plain,(
% 5.79/1.21 (((member @ a @ a2 @ (huffma505251170phabet @ a @ t))) = $true)),
% 5.79/1.21 inference(cnf_transformation,[],[f816])).
% 5.79/1.21 thf(f1125,plain,(
% 5.79/1.21 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : huffma16452318e_tree @ X0] : ((((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ (huffma469337550apSyms @ X0 @ X1 @ X2 @ X3)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X2))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X3)))) = ((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X1) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X3))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X2))))) | (((huffma1050891809istent @ X0 @ X1)) != $true) | (((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X1))) != $true) | (((member @ X0 @ X2 @ (huffma505251170phabet @ X0 @ X1))) != $true)) )),
% 5.79/1.21 inference(cnf_transformation,[],[f1009])).
% 5.79/1.21 thf(f1132,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (huffma636208924e_cost @ a @ (huffma469337550apSyms @ a @ t @ a2 @ b)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b))))) != ((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2))))))),
% 5.79/1.21 inference(cnf_transformation,[],[f847])).
% 5.79/1.21 thf(f1141,plain,(
% 5.79/1.21 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : huffma16452318e_tree @ X0] : ((((member @ X0 @ X2 @ (huffma505251170phabet @ X0 @ X1))) != $true) | (((huffma1050891809istent @ X0 @ X1)) != $true) | (((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X1) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X3))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X2)))) = ((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ ((^[Y0 : huffma16452318e_tree @ X0]: ((^[Y1 : X0]: ((^[Y2 : X0]: (huffma2094459102Leaves @ X0 @ Y0 @ (huffma854352999e_freq @ X0 @ Y0 @ Y1) @ Y1 @ (huffma854352999e_freq @ X0 @ Y0 @ Y2) @ Y2)))))) @ X1 @ X2 @ X3)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X2))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X3))))) | (((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X1))) != $true)) )),
% 5.79/1.21 inference(definition_unfolding,[],[f1125,f1022])).
% 5.79/1.21 thf(f1142,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2))))) != ((plus_plus @ nat @ (huffma636208924e_cost @ a @ ((^[Y0 : huffma16452318e_tree @ a]: ((^[Y1 : a]: ((^[Y2 : a]: (huffma2094459102Leaves @ a @ Y0 @ (huffma854352999e_freq @ a @ Y0 @ Y1) @ Y1 @ (huffma854352999e_freq @ a @ Y0 @ Y2) @ Y2)))))) @ t @ a2 @ b)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b))))))),
% 5.79/1.21 inference(definition_unfolding,[],[f1132,f1022])).
% 5.79/1.21 thf(f1187,plain,(
% 5.79/1.21 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : huffma16452318e_tree @ X0] : ((((member @ X0 @ X2 @ (huffma505251170phabet @ X0 @ X1))) != $true) | (((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X1))) != $true) | (((huffma1050891809istent @ X0 @ X1)) != $true) | (((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X1) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X3))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X2)))) = ((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ (huffma2094459102Leaves @ X0 @ X1 @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ X2 @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ X3)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X2))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X3)))))) )),
% 5.79/1.21 inference(beta-eta_normalization,[],[f1141])).
% 5.79/1.21 thf(f1218,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2))))) != ((plus_plus @ nat @ (huffma636208924e_cost @ a @ (huffma2094459102Leaves @ a @ t @ (huffma854352999e_freq @ a @ t @ a2) @ a2 @ (huffma854352999e_freq @ a @ t @ b) @ b)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b))))))),
% 5.79/1.21 inference(beta-eta_normalization,[],[f1142])).
% 5.79/1.21 thf(f1588,plain,(
% 5.79/1.21 ( ! [X2 : nat,X0 : nat,X1 : nat] : ((((plus_plus @ nat @ X0 @ (plus_plus @ nat @ X1 @ X2))) = ((plus_plus @ nat @ (plus_plus @ nat @ X0 @ X1) @ X2)))) )),
% 5.79/1.21 inference(unit_resulting_resolution,[],[f1043,f1081])).
% 5.79/1.21 thf(f1598,plain,(
% 5.79/1.21 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : huffma16452318e_tree @ X0] : ((((huffma1050891809istent @ X0 @ X1)) != $true) | (((plus_plus @ nat @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X1) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X3))) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X2)))) = ((plus_plus @ nat @ (huffma636208924e_cost @ X0 @ (huffma2094459102Leaves @ X0 @ X1 @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ X2 @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ X3)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X2)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X3)))))) | (((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X1))) != $true) | (((member @ X0 @ X2 @ (huffma505251170phabet @ X0 @ X1))) != $true)) )),
% 5.79/1.21 inference(backward_demodulation,[],[f1187,f1588])).
% 5.79/1.21 thf(f1600,plain,(
% 5.79/1.21 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : huffma16452318e_tree @ X0] : ((((plus_plus @ nat @ (huffma636208924e_cost @ X0 @ (huffma2094459102Leaves @ X0 @ X1 @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ X2 @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ X3)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X2)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X3))))) = ((plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X1) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X3)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X2)))))) | (((huffma1050891809istent @ X0 @ X1)) != $true) | (((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X1))) != $true) | (((member @ X0 @ X2 @ (huffma505251170phabet @ X0 @ X1))) != $true)) )),
% 5.79/1.21 inference(forward_demodulation,[],[f1598,f1588])).
% 5.79/1.21 thf(f1623,plain,(
% 5.79/1.21 ( ! [X2 : nat,X0 : nat,X1 : nat] : ((((plus_plus @ nat @ (plus_plus @ nat @ X0 @ X1) @ X2)) = ((plus_plus @ nat @ (plus_plus @ nat @ X0 @ X2) @ X1)))) )),
% 5.79/1.21 inference(unit_resulting_resolution,[],[f1070,f1081])).
% 5.79/1.21 thf(f1626,plain,(
% 5.79/1.21 ( ! [X2 : nat,X0 : nat,X1 : nat] : ((((plus_plus @ nat @ X0 @ (plus_plus @ nat @ X2 @ X1))) = ((plus_plus @ nat @ (plus_plus @ nat @ X0 @ X1) @ X2)))) )),
% 5.79/1.21 inference(forward_demodulation,[],[f1623,f1588])).
% 5.79/1.21 thf(f1627,plain,(
% 5.79/1.21 ( ! [X2 : nat,X0 : nat,X1 : nat] : ((((plus_plus @ nat @ X0 @ (plus_plus @ nat @ X2 @ X1))) = ((plus_plus @ nat @ X0 @ (plus_plus @ nat @ X1 @ X2))))) )),
% 5.79/1.21 inference(forward_demodulation,[],[f1626,f1588])).
% 5.79/1.21 thf(f1628,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2))))) != ((plus_plus @ nat @ (huffma636208924e_cost @ a @ (huffma2094459102Leaves @ a @ t @ (huffma854352999e_freq @ a @ t @ a2) @ a2 @ (huffma854352999e_freq @ a @ t @ b) @ b)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2))))))),
% 5.79/1.21 inference(backward_demodulation,[],[f1218,f1627])).
% 5.79/1.21 thf(f1629,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b))))) != ((plus_plus @ nat @ (huffma636208924e_cost @ a @ (huffma2094459102Leaves @ a @ t @ (huffma854352999e_freq @ a @ t @ a2) @ a2 @ (huffma854352999e_freq @ a @ t @ b) @ b)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2))))))),
% 5.79/1.21 inference(forward_demodulation,[],[f1628,f1627])).
% 5.79/1.21 thf(f1648,plain,(
% 5.79/1.21 ( ! [X2 : nat,X0 : nat,X1 : nat] : ((((plus_plus @ nat @ X0 @ (plus_plus @ nat @ X1 @ X2))) = ((plus_plus @ nat @ X1 @ (plus_plus @ nat @ X0 @ X2))))) )),
% 5.79/1.21 inference(unit_resulting_resolution,[],[f1079,f1081])).
% 5.79/1.21 thf(f1651,plain,(
% 5.79/1.21 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : huffma16452318e_tree @ X0] : ((((member @ X0 @ X2 @ (huffma505251170phabet @ X0 @ X1))) != $true) | (((huffma1050891809istent @ X0 @ X1)) != $true) | (((plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X1) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X3)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X2))))) = ((plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X2)) @ (plus_plus @ nat @ (huffma636208924e_cost @ X0 @ (huffma2094459102Leaves @ X0 @ X1 @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ X2 @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ X3)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X3)))))) | (((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X1))) != $true)) )),
% 5.79/1.21 inference(backward_demodulation,[],[f1600,f1648])).
% 5.79/1.21 thf(f1652,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b))))) != ((plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b)) @ (plus_plus @ nat @ (huffma636208924e_cost @ a @ (huffma2094459102Leaves @ a @ t @ (huffma854352999e_freq @ a @ t @ a2) @ a2 @ (huffma854352999e_freq @ a @ t @ b) @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2))))))),
% 5.79/1.21 inference(backward_demodulation,[],[f1629,f1648])).
% 5.79/1.21 thf(f1654,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2)) @ (huffma636208924e_cost @ a @ (huffma2094459102Leaves @ a @ t @ (huffma854352999e_freq @ a @ t @ a2) @ a2 @ (huffma854352999e_freq @ a @ t @ b) @ b))))) != ((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b))))))),
% 5.79/1.21 inference(forward_demodulation,[],[f1652,f1627])).
% 5.79/1.21 thf(f1656,plain,(
% 5.79/1.21 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : huffma16452318e_tree @ X0] : ((((member @ X0 @ X3 @ (huffma505251170phabet @ X0 @ X1))) != $true) | (((member @ X0 @ X2 @ (huffma505251170phabet @ X0 @ X1))) != $true) | (((huffma1050891809istent @ X0 @ X1)) != $true) | (((plus_plus @ nat @ (huffma636208924e_cost @ X0 @ X1) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X3)) @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X2))))) = ((plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ (huffma223349076_depth @ X0 @ X1 @ X2)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ (huffma223349076_depth @ X0 @ X1 @ X3)) @ (huffma636208924e_cost @ X0 @ (huffma2094459102Leaves @ X0 @ X1 @ (huffma854352999e_freq @ X0 @ X1 @ X2) @ X2 @ (huffma854352999e_freq @ X0 @ X1 @ X3) @ X3))))))) )),
% 5.79/1.21 inference(forward_demodulation,[],[f1651,f1627])).
% 5.79/1.21 thf(f2588,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2))))) = ((plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b)) @ (huffma636208924e_cost @ a @ (huffma2094459102Leaves @ a @ t @ (huffma854352999e_freq @ a @ t @ a2) @ a2 @ (huffma854352999e_freq @ a @ t @ b) @ b))))))),
% 5.79/1.21 inference(unit_resulting_resolution,[],[f1656,f1107,f1056,f1118])).
% 5.79/1.21 thf(f2596,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2))))) = ((plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2)) @ (huffma636208924e_cost @ a @ (huffma2094459102Leaves @ a @ t @ (huffma854352999e_freq @ a @ t @ a2) @ a2 @ (huffma854352999e_freq @ a @ t @ b) @ b))))))),
% 5.79/1.21 inference(forward_demodulation,[],[f2588,f1648])).
% 5.79/1.21 thf(f2602,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ b)) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ a2)) @ (huffma636208924e_cost @ a @ (huffma2094459102Leaves @ a @ t @ (huffma854352999e_freq @ a @ t @ a2) @ a2 @ (huffma854352999e_freq @ a @ t @ b) @ b))))) = ((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b))))))),
% 5.79/1.21 inference(forward_demodulation,[],[f2596,f1627])).
% 5.79/1.21 thf(f2608,plain,(
% 5.79/1.21 (((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b))))) != ((plus_plus @ nat @ (huffma636208924e_cost @ a @ t) @ (plus_plus @ nat @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ b) @ (huffma223349076_depth @ a @ t @ a2)) @ (times_times @ nat @ (huffma854352999e_freq @ a @ t @ a2) @ (huffma223349076_depth @ a @ t @ b))))))),
% 5.79/1.21 inference(backward_demodulation,[],[f1654,f2602])).
% 5.79/1.21 thf(f2609,plain,(
% 5.79/1.21 $false),
% 5.79/1.21 inference(trivial_inequality_removal,[],[f2608])).
% 5.79/1.21 % SZS output end Proof for theBenchmark
% 5.79/1.21 % (3011534)------------------------------
% 5.79/1.21 % (3011534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.79/1.21 % (3011534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.21 % (3011534)CaDiCaL version: 2.1.3
% 5.79/1.21 % (3011534)Termination reason: Refutation
% 5.79/1.21 % (3011534)Time elapsed: 0.159 s
% 5.79/1.21 % (3011534)Peak memory usage: 15 MB
% 5.79/1.21 % (3011534)Instructions burned: 323 (million)
% 5.79/1.21 % (3011393)Success in time 0.923 s
% 5.79/1.21 % Vampire exiting
%------------------------------------------------------------------------------