%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU371+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 : Tue Sep 29 12:53:02 PM UTC 2026
% Result : Theorem 8.18s 2.52s
% Output : Refutation 8.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 24 unt; 0 def)
% Number of atoms : 152 ( 37 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 150 ( 46 ~; 46 |; 55 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 53 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,axiom,
! [X0] :
( rel_str(X0)
=> bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_yellow_0) ).
fof(f128,axiom,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_yellow_1) ).
fof(f194,axiom,
! [X0] :
( strict_latt_str(boole_lattice(X0))
& latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice3) ).
fof(f235,axiom,
! [X0] :
( strict_rel_str(boole_POSet(X0))
& rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f305,axiom,
! [X0] :
( ~ empty_carrier(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& join_associative(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& join_absorbing(boole_lattice(X0))
& lattice(boole_lattice(X0))
& distributive_lattstr(boole_lattice(X0))
& modular_lattstr(boole_lattice(X0))
& lower_bounded_semilattstr(boole_lattice(X0))
& upper_bounded_semilattstr(boole_lattice(X0))
& bounded_lattstr(boole_lattice(X0))
& complemented_lattstr(boole_lattice(X0))
& boolean_lattstr(boole_lattice(X0))
& complete_latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_knaster) ).
fof(f586,conjecture,
! [X0] : bottom_of_relstr(boole_POSet(X0)) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_yellow_1) ).
fof(f587,negated_conjecture,
~ ! [X0] : bottom_of_relstr(boole_POSet(X0)) = empty_set,
inference(negated_conjecture,[status(cth)],[f586]) ).
fof(f629,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0)
& latt_str(X0) )
=> ! [X1] :
( join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1)
& meet_of_latt_set(X0,X1) = meet_on_relstr(poset_of_lattice(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_yellow_0) ).
fof(f662,axiom,
! [X0] :
( lower_bounded_semilattstr(boole_lattice(X0))
& bottom_of_semilattstr(boole_lattice(X0)) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_lattice3) ).
fof(f696,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0)
& latt_str(X0) )
=> ( ~ empty_carrier(X0)
& lattice(X0)
& lower_bounded_semilattstr(X0)
& latt_str(X0)
& bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_lattice3) ).
fof(f811,plain,
! [X0] :
( ~ empty_carrier(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& join_associative(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& join_absorbing(boole_lattice(X0))
& lattice(boole_lattice(X0))
& distributive_lattstr(boole_lattice(X0))
& lower_bounded_semilattstr(boole_lattice(X0))
& upper_bounded_semilattstr(boole_lattice(X0))
& bounded_lattstr(boole_lattice(X0))
& complemented_lattstr(boole_lattice(X0))
& boolean_lattstr(boole_lattice(X0))
& complete_latt_str(boole_lattice(X0)) ),
inference(pure_predicate_removal,[],[f305]) ).
fof(f924,plain,
! [X0] :
( bottom_of_relstr(X0) = join_on_relstr(X0,empty_set)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f1498,plain,
? [X0] : empty_set != bottom_of_relstr(boole_POSet(X0)),
inference(ennf_transformation,[],[f587]) ).
fof(f1562,plain,
! [X0] :
( ! [X1] :
( join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1)
& meet_of_latt_set(X0,X1) = meet_on_relstr(poset_of_lattice(X0),X1) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f629]) ).
fof(f1563,plain,
! [X0] :
( ! [X1] :
( join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1)
& meet_of_latt_set(X0,X1) = meet_on_relstr(poset_of_lattice(X0),X1) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f1562]) ).
fof(f1639,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& lower_bounded_semilattstr(X0)
& latt_str(X0)
& bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f696]) ).
fof(f1640,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& lower_bounded_semilattstr(X0)
& latt_str(X0)
& bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f1639]) ).
fof(f1864,plain,
! [X0] :
( ~ rel_str(X0)
| bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
inference(cnf_transformation,[],[f924]) ).
fof(f2104,plain,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f128]) ).
fof(f2349,plain,
! [X0] : latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f194]) ).
fof(f2389,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f235]) ).
fof(f2473,plain,
! [X0] : complete_latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f811]) ).
fof(f2480,plain,
! [X0] : lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f811]) ).
fof(f2488,plain,
! [X0] : ~ empty_carrier(boole_lattice(X0)),
inference(cnf_transformation,[],[f811]) ).
fof(f4023,plain,
empty_set != bottom_of_relstr(boole_POSet(sK502)),
inference(cnf_transformation,[],[f1498]) ).
fof(f4098,plain,
! [X0,X1] :
( ~ latt_str(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1) ),
inference(cnf_transformation,[],[f1563]) ).
fof(f4165,plain,
! [X0] : empty_set = bottom_of_semilattstr(boole_lattice(X0)),
inference(cnf_transformation,[],[f662]) ).
fof(f4223,plain,
! [X0] :
( ~ latt_str(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set) ),
inference(cnf_transformation,[],[f1640]) ).
fof(f4556,plain,
! [X0] : rel_str(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f2389,f2104]) ).
fof(f5278,plain,
empty_set != bottom_of_relstr(poset_of_lattice(boole_lattice(sK502))),
inference(definition_unfolding,[],[f4023,f2104]) ).
fof(f6363,plain,
! [X0] : empty_carrier(boole_lattice(X0)),
inference(consistent_polarity_flipping,[],[f2488]) ).
fof(f6368,plain,
! [X0] : ~ lattice(boole_lattice(X0)),
inference(consistent_polarity_flipping,[],[f2480]) ).
fof(f6372,plain,
! [X0] : ~ complete_latt_str(boole_lattice(X0)),
inference(consistent_polarity_flipping,[],[f2473]) ).
fof(f7742,plain,
! [X0,X1] :
( complete_latt_str(X0)
| ~ latt_str(X0)
| lattice(X0)
| ~ empty_carrier(X0)
| join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1) ),
inference(consistent_polarity_flipping,[],[f4098]) ).
fof(f7835,plain,
! [X0] :
( complete_latt_str(X0)
| ~ latt_str(X0)
| lattice(X0)
| ~ empty_carrier(X0)
| bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set) ),
inference(consistent_polarity_flipping,[],[f4223]) ).
fof(f9633,plain,
! [X0] : bottom_of_relstr(poset_of_lattice(boole_lattice(X0))) = join_on_relstr(poset_of_lattice(boole_lattice(X0)),empty_set),
inference(resolution,[],[f1864,f4556]) ).
fof(f18216,plain,
! [X0] :
( ~ latt_str(boole_lattice(X0))
| lattice(boole_lattice(X0))
| ~ empty_carrier(boole_lattice(X0))
| bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set) ),
inference(resolution,[],[f7835,f6372]) ).
fof(f18217,plain,
! [X0] :
( lattice(boole_lattice(X0))
| ~ empty_carrier(boole_lattice(X0))
| bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set) ),
inference(forward_subsumption_resolution,[],[f18216,f2349]) ).
fof(f18218,plain,
! [X0] :
( ~ empty_carrier(boole_lattice(X0))
| bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set) ),
inference(forward_subsumption_resolution,[],[f18217,f6368]) ).
fof(f18219,plain,
! [X0] : bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set),
inference(forward_subsumption_resolution,[],[f18218,f6363]) ).
fof(f18220,plain,
! [X0] : empty_set = join_of_latt_set(boole_lattice(X0),empty_set),
inference(forward_demodulation,[],[f18219,f4165]) ).
fof(f20947,plain,
! [X0,X1] :
( ~ latt_str(boole_lattice(X0))
| lattice(boole_lattice(X0))
| ~ empty_carrier(boole_lattice(X0))
| join_of_latt_set(boole_lattice(X0),X1) = join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1) ),
inference(resolution,[],[f7742,f6372]) ).
fof(f20948,plain,
! [X0,X1] :
( lattice(boole_lattice(X0))
| ~ empty_carrier(boole_lattice(X0))
| join_of_latt_set(boole_lattice(X0),X1) = join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1) ),
inference(forward_subsumption_resolution,[],[f20947,f2349]) ).
fof(f20949,plain,
! [X0,X1] :
( ~ empty_carrier(boole_lattice(X0))
| join_of_latt_set(boole_lattice(X0),X1) = join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1) ),
inference(forward_subsumption_resolution,[],[f20948,f6368]) ).
fof(f20950,plain,
! [X0,X1] : join_of_latt_set(boole_lattice(X0),X1) = join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1),
inference(forward_subsumption_resolution,[],[f20949,f6363]) ).
fof(f109884,plain,
! [X0] : bottom_of_relstr(poset_of_lattice(boole_lattice(X0))) = join_of_latt_set(boole_lattice(X0),empty_set),
inference(forward_demodulation,[],[f9633,f20950]) ).
fof(f109885,plain,
! [X0] : empty_set = bottom_of_relstr(poset_of_lattice(boole_lattice(X0))),
inference(forward_demodulation,[],[f109884,f18220]) ).
fof(f109886,plain,
$false,
inference(backward_subsumption_resolution,[],[f5278,f109885]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU371+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:01:25 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.98/1.96 % (2999364)Will run a generic schedule for satisfiability detection.
% 8.98/1.96 % (2999370)% WARNING: option uhcvi not known.
% 8.98/1.96 % (2999370)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1366919690:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.98/1.96 % (2999369)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1079217521_2999 on theBenchmark for (2999ds/0Mi)
% 8.98/1.96 % (2999371)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=22617111:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.98/1.96 % (2999372)dis+10_1_sil=32000:sp=arity:random_seed=828720928:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.98/1.96 % (2999373)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1285058794:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.98/1.96 % (2999374)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4291816233:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.98/1.96 % (2999375)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1860459808:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.98/1.96 % (2999372)Instruction limit reached!
% 8.98/1.96 % (2999372)------------------------------
% 8.98/1.96 % (2999372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.96 % (2999372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.96 % (2999372)CaDiCaL version: 2.1.3
% 8.98/1.96 % (2999372)Termination reason: Instruction limit
% 8.98/1.96 % (2999372)Termination phase: Saturation
% 8.98/1.96 % (2999372)Time elapsed: 0.054 s
% 8.98/1.96 % (2999372)Peak memory usage: 15 MB
% 8.98/1.96 % (2999372)Instructions burned: 103 (million)
% 8.98/1.96 % (2999373)Instruction limit reached!
% 8.98/1.96 % (2999373)------------------------------
% 8.98/1.96 % (2999373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.96 % (2999373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.96 % (2999373)CaDiCaL version: 2.1.3
% 8.98/1.96 % (2999373)Termination reason: Instruction limit
% 8.98/1.96 % (2999373)Termination phase: Blocked clause elimination
% 8.98/1.96 % (2999373)Time elapsed: 0.063 s
% 8.98/1.96 % (2999373)Peak memory usage: 15 MB
% 8.98/1.96 % (2999373)Instructions burned: 125 (million)
% 8.98/1.96 % (2999374)Instruction limit reached!
% 8.98/1.96 % (2999374)------------------------------
% 8.98/1.96 % (2999374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.96 % (2999374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.96 % (2999374)CaDiCaL version: 2.1.3
% 8.98/1.96 % (2999374)Termination reason: Instruction limit
% 8.98/1.96 % (2999374)Termination phase: Saturation
% 8.98/1.96 % (2999374)Time elapsed: 0.072 s
% 8.98/1.96 % (2999374)Peak memory usage: 15 MB
% 8.98/1.96 % (2999374)Instructions burned: 132 (million)
% 8.98/1.96 % (2999383)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3564697330:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.98/1.96 % (2999384)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3389364445:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.98/1.96 % (2999375)Instruction limit reached!
% 8.98/1.96 % (2999375)------------------------------
% 8.98/1.96 % (2999375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.96 % (2999375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.96 % (2999375)CaDiCaL version: 2.1.3
% 8.98/1.96 % (2999375)Termination reason: Instruction limit
% 8.98/1.96 % (2999375)Termination phase: Saturation
% 8.98/1.96 % (2999375)Time elapsed: 0.090 s
% 8.98/1.96 % (2999375)Peak memory usage: 17 MB
% 8.98/1.96 % (2999375)Instructions burned: 159 (million)
% 8.98/1.96 % (2999385)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=543991939:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.98/1.96 % (2999389)ott-21_1_sil=16000:fs=off:random_seed=2795881029:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.98/1.96 % (2999384)Instruction limit reached!
% 8.98/1.96 % (2999384)------------------------------
% 8.98/1.96 % (2999384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.96 % (2999384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999384)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999384)Termination reason: Instruction limit
% 8.18/2.52 % (2999384)Termination phase: Blocked clause elimination
% 8.18/2.52 % (2999384)Time elapsed: 0.070 s
% 8.18/2.52 % (2999384)Peak memory usage: 15 MB
% 8.18/2.52 % (2999384)Instructions burned: 132 (million)
% 8.18/2.52 % (2999391)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3821681151:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.18/2.52 % (2999389)Instruction limit reached!
% 8.18/2.52 % (2999389)------------------------------
% 8.18/2.52 % (2999389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999389)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999389)Termination reason: Instruction limit
% 8.18/2.52 % (2999389)Termination phase: Saturation
% 8.18/2.52 % (2999389)Time elapsed: 0.096 s
% 8.18/2.52 % (2999389)Peak memory usage: 16 MB
% 8.18/2.52 % (2999389)Instructions burned: 181 (million)
% 8.18/2.52 % (2999393)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=177496025:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.18/2.52 % TRYING [1]
% 8.18/2.52 % TRYING [1]
% 8.18/2.52 % TRYING [2]
% 8.18/2.52 % TRYING [2]
% 8.18/2.52 % TRYING [3]
% 8.18/2.52 % (2999383)Instruction limit reached!
% 8.18/2.52 % (2999383)------------------------------
% 8.18/2.52 % (2999383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999383)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999383)Termination reason: Instruction limit
% 8.18/2.52 % (2999383)Termination phase: Finite model building constraint generation
% 8.18/2.52 % (2999383)Time elapsed: 0.328 s
% 8.18/2.52 % (2999383)Peak memory usage: 35 MB
% 8.18/2.52 % (2999383)Instructions burned: 715 (million)
% 8.18/2.52 % TRYING [3]
% 8.18/2.52 % (2999395)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1285395679:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 8.18/2.52 % TRYING [1]
% 8.18/2.52 % (2999391)Instruction limit reached!
% 8.18/2.52 % (2999391)------------------------------
% 8.18/2.52 % (2999391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999391)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999391)Termination reason: Instruction limit
% 8.18/2.52 % (2999391)Termination phase: Saturation
% 8.18/2.52 % (2999391)Time elapsed: 0.302 s
% 8.18/2.52 % (2999391)Peak memory usage: 18 MB
% 8.18/2.52 % (2999391)Instructions burned: 477 (million)
% 8.18/2.52 % TRYING [2]
% 8.18/2.52 % (2999397)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=135285740:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.18/2.52 % (2999385)Instruction limit reached!
% 8.18/2.52 % (2999385)------------------------------
% 8.18/2.52 % (2999385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999385)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999385)Termination reason: Instruction limit
% 8.18/2.52 % (2999385)Termination phase: Saturation
% 8.18/2.52 % (2999385)Time elapsed: 0.403 s
% 8.18/2.52 % (2999385)Peak memory usage: 22 MB
% 8.18/2.52 % (2999385)Instructions burned: 684 (million)
% 8.18/2.52 % (2999399)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3144696589:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.18/2.52 % (2999393)Instruction limit reached!
% 8.18/2.52 % (2999393)------------------------------
% 8.18/2.52 % (2999393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999393)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999393)Termination reason: Instruction limit
% 8.18/2.52 % (2999393)Termination phase: Finite model building SAT solving
% 8.18/2.52 % (2999393)Time elapsed: 0.413 s
% 8.18/2.52 % (2999393)Peak memory usage: 36 MB
% 8.18/2.52 % (2999393)Instructions burned: 865 (million)
% 8.18/2.52 % (2999401)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1010497097:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 8.18/2.52 % (2999399)Instruction limit reached!
% 8.18/2.52 % (2999399)------------------------------
% 8.18/2.52 % (2999399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999399)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999399)Termination reason: Instruction limit
% 8.18/2.52 % (2999399)Termination phase: Saturation
% 8.18/2.52 % (2999399)Time elapsed: 0.394 s
% 8.18/2.52 % (2999399)Peak memory usage: 24 MB
% 8.18/2.52 % (2999399)Instructions burned: 692 (million)
% 8.18/2.52 % (2999397)Instruction limit reached!
% 8.18/2.52 % (2999397)------------------------------
% 8.18/2.52 % (2999397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999397)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999397)Termination reason: Instruction limit
% 8.18/2.52 % (2999397)Termination phase: Finite model building constraint generation
% 8.18/2.52 % (2999397)Time elapsed: 0.430 s
% 8.18/2.52 % (2999397)Peak memory usage: 75 MB
% 8.18/2.52 % (2999397)Instructions burned: 889 (million)
% 8.18/2.52 % (2999403)fmb+10_1_sil=64000:random_seed=2597360750:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 8.18/2.52 % (2999405)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3960795904:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.18/2.52 % (2999401)Instruction limit reached!
% 8.18/2.52 % (2999401)------------------------------
% 8.18/2.52 % (2999401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999401)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999401)Termination reason: Instruction limit
% 8.18/2.52 % (2999401)Termination phase: Saturation
% 8.18/2.52 % (2999401)Time elapsed: 0.389 s
% 8.18/2.52 % (2999401)Peak memory usage: 22 MB
% 8.18/2.52 % (2999401)Instructions burned: 880 (million)
% 8.18/2.52 % TRYING [4]
% 8.18/2.52 % (2999407)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2412620336:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 8.18/2.52 % TRYING [1]
% 8.18/2.52 % (2999395)Instruction limit reached!
% 8.18/2.52 % (2999395)------------------------------
% 8.18/2.52 % (2999395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999395)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999395)Termination reason: Instruction limit
% 8.18/2.52 % (2999395)Termination phase: Saturation
% 8.18/2.52 % (2999395)Time elapsed: 0.721 s
% 8.18/2.52 % (2999395)Peak memory usage: 31 MB
% 8.18/2.52 % (2999395)Instructions burned: 1180 (million)
% 8.18/2.52 % TRYING [2]
% 8.18/2.52 % (2999409)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3652819277:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 8.18/2.52 % (2999405)Cannot represent all propositional literals internally
% 8.18/2.52 % (2999405)Refutation not found, incomplete strategy
% 8.18/2.52 % (2999405)------------------------------
% 8.18/2.52 % (2999405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999405)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999405)Termination reason: Refutation not found, incomplete strategy
% 8.18/2.52 % (2999405)Time elapsed: 0.220 s
% 8.18/2.52 % (2999405)Peak memory usage: 20 MB
% 8.18/2.52 % (2999405)Instructions burned: 446 (million)
% 8.18/2.52 % (2999405)------------------------------
% 8.18/2.52 % (2999405)------------------------------
% 8.18/2.52 % (2999411)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=331365056:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 8.18/2.52 % TRYING [8]
% 8.18/2.52 % TRYING [3]
% 8.18/2.52 % (2999407)Instruction limit reached!
% 8.18/2.52 % (2999407)------------------------------
% 8.18/2.52 % (2999407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999407)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999407)Termination reason: Instruction limit
% 8.18/2.52 % (2999407)Termination phase: Finite model building constraint generation
% 8.18/2.52 % (2999407)Time elapsed: 0.386 s
% 8.18/2.52 % (2999407)Peak memory usage: 48 MB
% 8.18/2.52 % (2999407)Instructions burned: 923 (million)
% 8.18/2.52 % (2999413)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3061502214:i=6324_2984 on theBenchmark for (2984ds/6324Mi)
% 8.18/2.52 % (2999413)Cannot represent all propositional literals internally
% 8.18/2.52 % (2999413)Refutation not found, incomplete strategy
% 8.18/2.52 % (2999413)------------------------------
% 8.18/2.52 % (2999413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999413)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999413)Termination reason: Refutation not found, incomplete strategy
% 8.18/2.52 % (2999413)Time elapsed: 0.268 s
% 8.18/2.52 % (2999413)Peak memory usage: 22 MB
% 8.18/2.52 % (2999413)Instructions burned: 532 (million)
% 8.18/2.52 % (2999413)------------------------------
% 8.18/2.52 % (2999413)------------------------------
% 8.18/2.52 % (2999415)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1659489251:fmbsr=2.30978:i=2174_2981 on theBenchmark for (2981ds/2174Mi)
% 8.18/2.52 % (2999411)Instruction limit reached!
% 8.18/2.52 % (2999411)------------------------------
% 8.18/2.52 % (2999411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999411)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999411)Termination reason: Instruction limit
% 8.18/2.52 % (2999411)Termination phase: Saturation
% 8.18/2.52 % (2999411)Time elapsed: 0.739 s
% 8.18/2.52 % (2999411)Peak memory usage: 28 MB
% 8.18/2.52 % (2999411)Instructions burned: 1474 (million)
% 8.18/2.52 % (2999417)ott-2_1_sil=16000:newcnf=on:random_seed=3895147841:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2980 on theBenchmark for (2980ds/869Mi)
% 8.18/2.52 % (2999370) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2999364-2999370"...
% 8.18/2.52 % (2999370)...printing done.
% 8.18/2.52 % (2999370)Refutation found. Thanks to Tanya!
% 8.18/2.52 % SZS status Theorem for theBenchmark
% 8.18/2.52 % SZS output start Proof for theBenchmark
% See solution above
% 8.18/2.52 % (2999370)------------------------------
% 8.18/2.52 % (2999370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/2.52 % (2999370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.52 % (2999370)CaDiCaL version: 2.1.3
% 8.18/2.52 % (2999370)Termination reason: Refutation
% 8.18/2.52 % (2999370)Time elapsed: 2.023 s
% 8.18/2.52 % (2999370)Peak memory usage: 59 MB
% 8.18/2.52 % (2999370)Instructions burned: 5964 (million)
% 8.18/2.52 % (2999364)Success in time 2.108 s
% 8.18/2.52 % Vampire exiting
%------------------------------------------------------------------------------