%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL916^1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:14:40 AM UTC 2026
% Result : Satisfiable 0.86s 0.38s
% Output : Saturation 0.86s
% Verified :
% SZS Type : Derivation
% Derivation depth : 0
% Number of leaves : 1
% Syntax : Number of clauses : 1 ( 1 unt; 0 nHn; 1 RR)
% Number of literals : 1 ( 1 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(u57,axiom,
$true != $false ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL916^1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 10:28:31 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.22 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
% 0.20/0.34 % (4104478)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.34 % (4104484)lrs+10_16_si=on:nwc=1.5:random_seed=3011449305:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.34 % (4104489)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.34 % (4104489)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
% 0.20/0.34 % (4104484)Instruction limit reached!
% 0.20/0.34 % (4104484)------------------------------
% 0.20/0.34 % (4104484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (4104484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (4104484)CaDiCaL version: 2.1.3
% 0.20/0.34 % (4104484)Termination reason: Instruction limit
% 0.20/0.34 % (4104484)Termination phase: Saturation
% 0.20/0.34 % (4104484)Time elapsed: 0.005 s
% 0.20/0.34 % (4104484)Peak memory usage: 12 MB
% 0.20/0.34 % (4104484)Instructions burned: 22 (million)
% 0.20/0.34 % (4104483)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2663430013:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.34 % (4104485)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=760205477:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.34 % (4104486)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=81149026: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)
% 0.20/0.34 % (4104487)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3864567525:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.34 % (4104488)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2465306261:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.34 % (4104489)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=4291939642:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.34 % (4104485)Instruction limit reached!
% 0.20/0.34 % (4104485)------------------------------
% 0.20/0.34 % (4104485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (4104485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (4104485)CaDiCaL version: 2.1.3
% 0.20/0.34 % (4104485)Termination reason: Instruction limit
% 0.20/0.34 % (4104485)Termination phase: Saturation
% 0.20/0.34 % (4104485)Time elapsed: 0.003 s
% 0.20/0.34 % (4104485)Peak memory usage: 11 MB
% 0.20/0.34 % (4104485)Instructions burned: 5 (million)
% 0.20/0.34 % (4104491)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3002088667:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.34 % (4104491)Instruction limit reached!
% 0.20/0.34 % (4104491)------------------------------
% 0.20/0.34 % (4104491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (4104491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (4104491)CaDiCaL version: 2.1.3
% 0.20/0.34 % (4104491)Termination reason: Instruction limit
% 0.20/0.34 % (4104491)Termination phase: Saturation
% 0.20/0.34 % (4104491)Time elapsed: 0.001 s
% 0.20/0.34 % (4104491)Peak memory usage: 11 MB
% 0.20/0.34 % (4104491)Instructions burned: 2 (million)
% 0.20/0.34 % (4104487)Instruction limit reached!
% 0.20/0.34 % (4104487)------------------------------
% 0.20/0.34 % (4104487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (4104487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (4104487)CaDiCaL version: 2.1.3
% 0.20/0.34 % (4104487)Termination reason: Instruction limit
% 0.20/0.34 % (4104487)Termination phase: Saturation
% 0.20/0.34 % (4104487)Time elapsed: 0.014 s
% 0.20/0.34 % (4104487)Peak memory usage: 11 MB
% 0.20/0.34 % (4104487)Instructions burned: 24 (million)
% 0.20/0.34 % (4104500)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.36 % (4104500)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=33697679:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.86/0.36 % (4104500)Instruction limit reached!
% 0.86/0.36 % (4104500)------------------------------
% 0.86/0.36 % (4104500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.36 % (4104500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.36 % (4104500)CaDiCaL version: 2.1.3
% 0.86/0.36 % (4104500)Termination reason: Instruction limit
% 0.86/0.36 % (4104500)Termination phase: Saturation
% 0.86/0.36 % (4104500)Time elapsed: 0.002 s
% 0.86/0.36 % (4104500)Peak memory usage: 11 MB
% 0.86/0.36 % (4104500)Instructions burned: 7 (million)
% 0.86/0.36 % (4104498)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2338881598:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.86/0.36 % (4104498)Instruction limit reached!
% 0.86/0.36 % (4104498)------------------------------
% 0.86/0.36 % (4104498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.36 % (4104498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.36 % (4104498)CaDiCaL version: 2.1.3
% 0.86/0.36 % (4104498)Termination reason: Instruction limit
% 0.86/0.36 % (4104498)Termination phase: Saturation
% 0.86/0.36 % (4104498)Time elapsed: 0.004 s
% 0.86/0.36 % (4104498)Peak memory usage: 11 MB
% 0.86/0.36 % (4104498)Instructions burned: 6 (million)
% 0.86/0.36 % (4104504)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
% 0.86/0.36 % (4104504)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.36 % (4104488)Instruction limit reached!
% 0.86/0.36 % (4104488)------------------------------
% 0.86/0.36 % (4104488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.36 % (4104488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.36 % (4104488)CaDiCaL version: 2.1.3
% 0.86/0.36 % (4104488)Termination reason: Instruction limit
% 0.86/0.36 % (4104488)Termination phase: Saturation
% 0.86/0.36 % (4104488)Time elapsed: 0.031 s
% 0.86/0.36 % (4104488)Peak memory usage: 12 MB
% 0.86/0.36 % (4104488)Instructions burned: 77 (million)
% 0.86/0.36 % (4104504)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=89499031:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.86/0.36 % (4104501)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4207643230:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.86/0.36 % (4104483)Instruction limit reached!
% 0.86/0.36 % (4104483)------------------------------
% 0.86/0.36 % (4104483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.36 % (4104483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.36 % (4104483)CaDiCaL version: 2.1.3
% 0.86/0.36 % (4104483)Termination reason: Instruction limit
% 0.86/0.36 % (4104483)Termination phase: Saturation
% 0.86/0.36 % (4104483)Time elapsed: 0.037 s
% 0.86/0.36 % (4104483)Peak memory usage: 12 MB
% 0.86/0.36 % (4104483)Instructions burned: 89 (million)
% 0.86/0.36 % (4104501)Instruction limit reached!
% 0.86/0.36 % (4104501)------------------------------
% 0.86/0.36 % (4104501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.36 % (4104501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.36 % (4104501)CaDiCaL version: 2.1.3
% 0.86/0.36 % (4104501)Termination reason: Instruction limit
% 0.86/0.36 % (4104501)Termination phase: Saturation
% 0.86/0.36 % (4104501)Time elapsed: 0.006 s
% 0.86/0.36 % (4104501)Peak memory usage: 12 MB
% 0.86/0.36 % (4104501)Instructions burned: 13 (million)
% 0.86/0.36 % (4104504)Instruction limit reached!
% 0.86/0.36 % (4104504)------------------------------
% 0.86/0.36 % (4104504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.36 % (4104504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.36 % (4104504)CaDiCaL version: 2.1.3
% 0.86/0.36 % (4104504)Termination reason: Instruction limit
% 0.86/0.36 % (4104504)Termination phase: Saturation
% 0.86/0.38 % (4104504)Time elapsed: 0.007 s
% 0.86/0.38 % (4104504)Peak memory usage: 11 MB
% 0.86/0.38 % (4104504)Instructions burned: 31 (million)
% 0.86/0.38 % (4104505)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=1292995726:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.86/0.38 % (4104511)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3331800324:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.86/0.38 % (4104508)lrs+10_1_si=on:cs=on:random_seed=3900005420:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.86/0.38 % (4104511)Refutation not found, incomplete strategy
% 0.86/0.38 % (4104511)------------------------------
% 0.86/0.38 % (4104511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104511)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104511)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (4104511)Time elapsed: 0.0000 s
% 0.86/0.38 % (4104511)Peak memory usage: 11 MB
% 0.86/0.38 % (4104511)Instructions burned: 1 (million)
% 0.86/0.38 % (4104509)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.86/0.38 % (4104511)------------------------------
% 0.86/0.38 % (4104511)------------------------------
% 0.86/0.38 % (4104509)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=1316786119:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.38 % (4104508)Instruction limit reached!
% 0.86/0.38 % (4104508)------------------------------
% 0.86/0.38 % (4104508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104508)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104508)Termination reason: Instruction limit
% 0.86/0.38 % (4104508)Termination phase: Saturation
% 0.86/0.38 % (4104508)Time elapsed: 0.005 s
% 0.86/0.38 % (4104508)Peak memory usage: 12 MB
% 0.86/0.38 % (4104508)Instructions burned: 9 (million)
% 0.86/0.38 % (4104509)Refutation not found, incomplete strategy
% 0.86/0.38 % (4104509)------------------------------
% 0.86/0.38 % (4104509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104509)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104509)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (4104509)Time elapsed: 0.001 s
% 0.86/0.38 % (4104509)Peak memory usage: 11 MB
% 0.86/0.38 % (4104509)Instructions burned: 2 (million)
% 0.86/0.38 % (4104509)------------------------------
% 0.86/0.38 % (4104509)------------------------------
% 0.86/0.38 % (4104510)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1459925960:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.86/0.38 % (4104510)Refutation not found, incomplete strategy
% 0.86/0.38 % (4104510)------------------------------
% 0.86/0.38 % (4104510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104510)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104510)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (4104510)Time elapsed: 0.001 s
% 0.86/0.38 % (4104510)Peak memory usage: 11 MB
% 0.86/0.38 % (4104510)Instructions burned: 1 (million)
% 0.86/0.38 % (4104510)------------------------------
% 0.86/0.38 % (4104510)------------------------------
% 0.86/0.38 % (4104518)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=602356712:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.86/0.38 % (4104518)Refutation not found, incomplete strategy
% 0.86/0.38 % (4104518)------------------------------
% 0.86/0.38 % (4104518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104518)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104518)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (4104518)Time elapsed: 0.0000 s
% 0.86/0.38 % (4104518)Peak memory usage: 12 MB
% 0.86/0.38 % (4104518)Instructions burned: 1 (million)
% 0.86/0.38 % (4104518)------------------------------
% 0.86/0.38 % (4104518)------------------------------
% 0.86/0.38 % (4104515)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2856355585:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.86/0.38 % (4104515)Refutation not found, incomplete strategy
% 0.86/0.38 % (4104515)------------------------------
% 0.86/0.38 % (4104515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104515)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104515)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (4104515)Time elapsed: 0.001 s
% 0.86/0.38 % (4104515)Peak memory usage: 11 MB
% 0.86/0.38 % (4104515)Instructions burned: 1 (million)
% 0.86/0.38 % (4104515)------------------------------
% 0.86/0.38 % (4104515)------------------------------
% 0.86/0.38 % (4104517)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3374591448:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.38 % (4104489)Instruction limit reached!
% 0.86/0.38 % (4104489)------------------------------
% 0.86/0.38 % (4104489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104489)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104489)Termination reason: Instruction limit
% 0.86/0.38 % (4104489)Termination phase: Saturation
% 0.86/0.38 % (4104489)Time elapsed: 0.074 s
% 0.86/0.38 % (4104489)Peak memory usage: 12 MB
% 0.86/0.38 % (4104489)Instructions burned: 158 (million)
% 0.86/0.38 % (4104520)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2255332941:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.38 % (4104522)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=69818888: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)
% 0.86/0.38 % (4104522)Refutation not found, incomplete strategy
% 0.86/0.38 % (4104522)------------------------------
% 0.86/0.38 % (4104522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104522)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104522)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (4104522)Time elapsed: 0.0000 s
% 0.86/0.38 % (4104522)Peak memory usage: 11 MB
% 0.86/0.38 % (4104522)Instructions burned: 1 (million)
% 0.86/0.38 % (4104522)------------------------------
% 0.86/0.38 % (4104522)------------------------------
% 0.86/0.38 % (4104517)Instruction limit reached!
% 0.86/0.38 % (4104517)------------------------------
% 0.86/0.38 % (4104517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104517)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104517)Termination reason: Instruction limit
% 0.86/0.38 % (4104517)Termination phase: Saturation
% 0.86/0.38 % (4104517)Time elapsed: 0.007 s
% 0.86/0.38 % (4104517)Peak memory usage: 12 MB
% 0.86/0.38 % (4104517)Instructions burned: 16 (million)
% 0.86/0.38 % (4104505)Instruction limit reached!
% 0.86/0.38 % (4104505)------------------------------
% 0.86/0.38 % (4104505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104505)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104505)Termination reason: Instruction limit
% 0.86/0.38 % (4104505)Termination phase: Saturation
% 0.86/0.38 % (4104505)Time elapsed: 0.037 s
% 0.86/0.38 % (4104505)Peak memory usage: 11 MB
% 0.86/0.38 % (4104505)Instructions burned: 87 (million)
% 0.86/0.38 % (4104520)Instruction limit reached!
% 0.86/0.38 % (4104520)------------------------------
% 0.86/0.38 % (4104520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104520)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104520)Termination reason: Instruction limit
% 0.86/0.38 % (4104520)Termination phase: Saturation
% 0.86/0.38 % (4104520)Time elapsed: 0.008 s
% 0.86/0.38 % (4104520)Peak memory usage: 12 MB
% 0.86/0.38 % (4104520)Instructions burned: 16 (million)
% 0.86/0.38 % (4104529)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1769437264:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.86/0.38 % (4104525)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1181109044:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.86/0.38 % (4104526)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1678522334:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.86/0.38 % (4104530)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
% 0.86/0.38 % (4104530)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.86/0.38 % (4104531)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.86/0.38 % (4104530)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=3388046334:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.86/0.38 % (4104531)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=1447766577:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.86/0.38 % (4104530) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4104478-4104530"...
% 0.86/0.38 % (4104530)...printing done.
% 0.86/0.38 % (4104525)Instruction limit reached!
% 0.86/0.38 % (4104525)------------------------------
% 0.86/0.38 % (4104525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104525)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104525)Termination reason: Instruction limit
% 0.86/0.38 % (4104525)Termination phase: Saturation
% 0.86/0.38 % (4104525)Time elapsed: 0.011 s
% 0.86/0.38 % (4104525)Peak memory usage: 12 MB
% 0.86/0.38 % (4104525)Instructions burned: 28 (million)
% 0.86/0.38 % (4104531)Refutation not found, incomplete strategy
% 0.86/0.38 % (4104531)------------------------------
% 0.86/0.38 % (4104531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104531)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104531)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (4104531)Time elapsed: 0.002 s
% 0.86/0.38 % (4104531)Peak memory usage: 12 MB
% 0.86/0.38 % (4104531)Instructions burned: 2 (million)
% 0.86/0.38 % SZS status Satisfiable for theBenchmark
% 0.86/0.38 % SZS output start Saturation.
% See solution above
% 0.86/0.38 % SZS output start Definitions and Model Updates.
% 0.86/0.38 for all inputs,
% 0.86/0.38 define minvalid := (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1)))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mcountersatisfiable := (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: (~ (Y0 @ Y1)))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define msatisfiable := (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mvalid := (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mexists := (^[Y0 : individuals > $i > $o]: ((^[Y1 : $i]: (?? @ individuals @ (^[Y2 : individuals]: (Y0 @ Y2 @ Y1))))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mall := (^[Y0 : individuals > $i > $o]: ((^[Y1 : $i]: (!! @ individuals @ (^[Y2 : individuals]: (Y0 @ Y2 @ Y1))))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mdia := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2 @ Y3)))))))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mbox := (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3)))))))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define miff := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y1 @ Y0)))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mimpl := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mand := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mor := (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2)))))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mnot := (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1)))))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mtrue := (^[Y0 : $i]: ($true))
% 0.86/0.38 for all inputs,
% 0.86/0.38 define mfalse := (^[Y0 : $i]: ($false))
% 0.86/0.38 % SZS output end Definitions and Model Updates.
% 0.86/0.38 % (4104530)------------------------------
% 0.86/0.38 % (4104530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (4104530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (4104530)CaDiCaL version: 2.1.3
% 0.86/0.38 % (4104530)Termination reason: Satisfiable
% 0.86/0.38 % (4104530)Time elapsed: 0.002 s
% 0.86/0.38 % (4104530)Peak memory usage: 12 MB
% 0.86/0.38 % (4104530)Instructions burned: 2 (million)
% 0.86/0.38 % (4104478)Success in time 0.144 s
% 0.86/0.38 % Vampire exiting
%------------------------------------------------------------------------------