%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n006.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 11:46:40 AM UTC 2026
% Result : Theorem 3.54s 1.39s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 48 ( 11 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 225 ( 103 ~; 86 |; 26 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 79 ( 72 !; 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(f46,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(f47,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,[],[f46]) ).
fof(f54,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(f55,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,[],[f54]) ).
fof(f58,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(f59,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f61,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f60]) ).
fof(f69,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(f70,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,[],[f69]) ).
fof(f71,plain,
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ r2_hidden(X2,sK1) )
& m2_filter_2(sK1,sK0)
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f47]) ).
fof(f75,plain,
! [X0] : m1_subset_1(sK5(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f23]) ).
fof(f84,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f85,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f86,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f87,plain,
m2_filter_2(sK1,sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f88,plain,
! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ r2_hidden(X2,sK1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f94,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f95,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f96,plain,
! [X0] : m1_subset_1(sK5(X0),X0),
inference(cnf_transformation,[],[f75]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f100,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f116,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(cnf_transformation,[],[f70]) ).
fof(f149,plain,
( ~ v1_xboole_0(sK1)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f95,f87]) ).
fof(f152,plain,
( ~ v1_xboole_0(sK1)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f149,f86]) ).
fof(f153,plain,
( ~ v1_xboole_0(sK1)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f152,f85]) ).
fof(f154,plain,
~ v1_xboole_0(sK1),
inference(forward_subsumption_resolution,[],[f153,f84]) ).
fof(f164,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X2,X0)
| ~ m2_lattice4(X0,X1) ),
inference(resolution,[],[f116,f99]) ).
fof(f202,plain,
! [X0,X1] :
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ r2_hidden(X0,X1)
| ~ m2_lattice4(X1,sK0)
| ~ r2_hidden(X0,sK1) ),
inference(resolution,[],[f164,f88]) ).
fof(f205,plain,
! [X0,X1] :
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ r2_hidden(X0,X1)
| ~ m2_lattice4(X1,sK0)
| ~ r2_hidden(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f202,f86]) ).
fof(f206,plain,
! [X0,X1] :
( ~ l3_lattices(sK0)
| ~ r2_hidden(X0,X1)
| ~ m2_lattice4(X1,sK0)
| ~ r2_hidden(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f205,f85]) ).
fof(f207,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,sK0)
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f206,f84]) ).
fof(f210,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK1)
| ~ m2_filter_2(X1,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f207,f94]) ).
fof(f211,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK1)
| ~ m2_filter_2(X1,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f210,f86]) ).
fof(f214,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK1)
| ~ m2_filter_2(X1,sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f211,f85]) ).
fof(f217,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK1)
| ~ r2_hidden(X0,X1)
| ~ m2_filter_2(X1,sK0) ),
inference(forward_subsumption_resolution,[],[f214,f84]) ).
fof(f251,plain,
! [X0] :
( ~ r2_hidden(X0,sK1)
| ~ m2_filter_2(sK1,sK0) ),
inference(factoring,[],[f217]) ).
fof(f252,plain,
! [X0] : ~ r2_hidden(X0,sK1),
inference(forward_subsumption_resolution,[],[f251,f87]) ).
fof(f261,plain,
! [X0] :
( v1_xboole_0(sK1)
| ~ m1_subset_1(X0,sK1) ),
inference(resolution,[],[f252,f100]) ).
fof(f262,plain,
! [X0] : ~ m1_subset_1(X0,sK1),
inference(forward_subsumption_resolution,[],[f261,f154]) ).
fof(f264,plain,
$false,
inference(resolution,[],[f262,f96]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:21:58 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.54/1.39 % (3023518)Detected formulas, will run a generic FOF schedule.
% 3.54/1.39 % (3023526)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2011018810:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.54/1.39 % (3023526)Refutation not found, incomplete strategy
% 3.54/1.39 % (3023526)------------------------------
% 3.54/1.39 % (3023526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.39 % (3023526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.39 % (3023526)CaDiCaL version: 2.1.3
% 3.54/1.39 % (3023526)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.39 % (3023526)Time elapsed: 0.001 s
% 3.54/1.39 % (3023526)Peak memory usage: 88 MB
% 3.54/1.39 % (3023526)Instructions burned: 1 (million)
% 3.54/1.39 % (3023529)dis-21_1_sil=8000:lcm=predicate:random_seed=3470642955:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.54/1.39 % (3023523)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2365513562:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.54/1.39 % (3023525)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2846804864:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.54/1.39 % (3023527)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1873133819:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.54/1.39 % (3023524)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2627319990:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.54/1.39 % (3023528)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2549722578:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.54/1.39 % (3023527)First to succeed.
% 3.54/1.39 % (3023527)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3023518"
% 3.54/1.39 % (3023528)Also succeeded, but the first one will report.
% 3.54/1.39 % (3023529)Also succeeded, but the first one will report.
% 3.54/1.39 % (3023526)------------------------------
% 3.54/1.39 % (3023526)------------------------------
% 3.54/1.39 % (3023527)Refutation found. Thanks to Tanya!
% 3.54/1.39 % SZS status Theorem for theBenchmark
% 3.54/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.39 % (3023527)------------------------------
% 3.54/1.39 % (3023527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.39 % (3023527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.39 % (3023527)CaDiCaL version: 2.1.3
% 3.54/1.39 % (3023527)Termination reason: Refutation
% 3.54/1.39 % (3023527)Time elapsed: 0.005 s
% 3.54/1.39 % (3023527)Peak memory usage: 88 MB
% 3.54/1.39 % (3023527)Instructions burned: 6 (million)
% 3.54/1.39 % (3023527)------------------------------
% 3.54/1.39 % (3023527)------------------------------
% 3.54/1.39 % (3023518)Success in time 0.437 s
% 3.54/1.39 % Vampire exiting
%------------------------------------------------------------------------------