%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT300+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 11:48:17 AM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 59 ( 13 unt; 2 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 215 ( 91 ~; 90 |; 22 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 67 ( 0 sgn 60 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f16,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f23,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f39,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f50,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f49]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f63]) ).
fof(f81,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f82,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f84,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f85,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f84]) ).
fof(f90,plain,
! [X2] :
( ~ r2_hidden(X2,sK1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f91,plain,
m2_filter_2(sK1,sK0),
inference(cnf_transformation,[],[f50]) ).
fof(f92,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f50]) ).
fof(f93,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f50]) ).
fof(f94,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f50]) ).
fof(f108,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f109,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f110,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f116,plain,
! [X0] : m1_subset_1(sK7(X0),X0),
inference(cnf_transformation,[],[f23]) ).
fof(f138,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f220,plain,
! [X0] :
( ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(resolution,[],[f138,f90]) ).
fof(f224,definition,
( spl17_10
<=> v1_xboole_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f225,plain,
( ~ v1_xboole_0(sK1)
| spl17_10 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f226,plain,
( v1_xboole_0(sK1)
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f228,definition,
( spl17_11
<=> ! [X0] :
( ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
fof(f229,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,sK1) )
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( spl17_10
| spl17_11 ),
inference(avatar_split_clause,[],[f220,f228,f224]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| m1_subset_1(X2,X1)
| ~ m1_subset_1(X2,X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f140,f138]) ).
fof(f266,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ v1_xboole_0(sK1) ),
inference(resolution,[],[f109,f91]) ).
fof(f271,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ v1_xboole_0(sK1) ),
inference(forward_subsumption_resolution,[],[f266,f93]) ).
fof(f273,plain,
( ~ l3_lattices(sK0)
| ~ v1_xboole_0(sK1) ),
inference(forward_subsumption_resolution,[],[f271,f94]) ).
fof(f275,plain,
~ v1_xboole_0(sK1),
inference(forward_subsumption_resolution,[],[f273,f92]) ).
fof(f278,plain,
( $false
| ~ spl17_10 ),
inference(forward_subsumption_resolution,[],[f275,f226]) ).
fof(f279,plain,
~ spl17_10,
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f283,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f110,f108]) ).
fof(f284,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v10_lattices(X0) ),
inference(duplicate_literal_removal,[],[f283]) ).
fof(f369,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f284,f91]) ).
fof(f372,plain,
( ~ l3_lattices(sK0)
| m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f369,f94]) ).
fof(f373,plain,
( m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f372,f92]) ).
fof(f374,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f373,f93]) ).
fof(f375,plain,
! [X0] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,sK1)
| v1_xboole_0(sK1) ),
inference(resolution,[],[f374,f265]) ).
fof(f377,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,sK1) )
| spl17_10 ),
inference(forward_subsumption_resolution,[],[f375,f225]) ).
fof(f378,plain,
( ! [X0] : ~ m1_subset_1(X0,sK1)
| spl17_10
| ~ spl17_11 ),
inference(forward_subsumption_resolution,[],[f377,f229]) ).
fof(f390,plain,
( $false
| spl17_10
| ~ spl17_11 ),
inference(resolution,[],[f378,f116]) ).
fof(f391,plain,
( spl17_10
| ~ spl17_11 ),
inference(avatar_contradiction_clause,[],[f390]) ).
cnf(s7,plain,
( spl17_10
| spl17_11 ),
inference(sat_conversion,[],[f230]) ).
cnf(s12,plain,
~ spl17_10,
inference(sat_conversion,[],[f279]) ).
cnf(s15,plain,
( spl17_10
| ~ spl17_11 ),
inference(sat_conversion,[],[f391]) ).
cnf(s16,plain,
~ spl17_11,
inference(rat,[],[s15,s12]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s7,s16,s12]) ).
fof(f392,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT300+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n004.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 14:22:09 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.46 % (3568335)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (3568346)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1889519076:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % (3568341)% WARNING: option uhcvi not known.
% 0.16/0.46 % (3568341)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2431878466:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (3568340)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4274999324_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (3568343)dis+10_1_sil=32000:sp=arity:random_seed=3361036754:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (3568344)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1383259917:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (3568342)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1560778954:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (3568345)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3260102559:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % TRYING [4]
% 0.16/0.46 % (3568344) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3568335-3568344"...
% 0.16/0.46 % TRYING [5]
% 0.16/0.46 % (3568343) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3568335-3568343"...
% 0.16/0.46 % (3568346) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3568335-3568346"...
% 0.16/0.46 % (3568344)...printing done.
% 0.16/0.46 % (3568346)...printing done.
% 0.16/0.46 % (3568344)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (3568344)------------------------------
% 0.16/0.46 % (3568344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (3568344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (3568344)CaDiCaL version: 2.1.3
% 0.16/0.46 % (3568344)Termination reason: Refutation
% 0.16/0.46 % (3568344)Time elapsed: 0.008 s
% 0.16/0.46 % (3568344)Peak memory usage: 12 MB
% 0.16/0.46 % (3568344)Instructions burned: 10 (million)
% 0.16/0.46 % (3568335)Success in time 0.044 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------