%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT288+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 11:46:33 AM UTC 2026
% Result : Theorem 2.62s 2.05s
% Output : Refutation 8.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 54 ( 21 unt; 0 def)
% Number of atoms : 296 ( 27 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 376 ( 134 ~; 145 |; 81 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 93 ( 77 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_lopclset) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f30,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f31,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k7_lopclset(X0) = a_1_1_lopclset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_lopclset) ).
fof(f52,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( r2_hidden(X0,a_1_1_lopclset(X1))
<=> ? [X2] :
( m1_filter_0(X2,X1)
& X0 = X2
& v1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_1_1_lopclset) ).
fof(f53,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( m1_filter_0(X3,X1)
& X0 = X3
& v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_lopclset) ).
fof(f88,plain,
? [X0] :
( ? [X1] :
( ~ r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0))
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ~ r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0))
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( m1_filter_0(X3,X1)
& X0 = X3
& v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( m1_filter_0(X3,X1)
& X0 = X3
& v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(flattening,[],[f90]) ).
fof(f96,plain,
! [X0] :
( k7_lopclset(X0) = a_1_1_lopclset(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f97,plain,
! [X0] :
( k7_lopclset(X0) = a_1_1_lopclset(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_1_lopclset(X1))
<=> ? [X2] :
( m1_filter_0(X2,X1)
& X0 = X2
& v1_filter_0(X2,X1) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f99,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_1_lopclset(X1))
<=> ? [X2] :
( m1_filter_0(X2,X1)
& X0 = X2
& v1_filter_0(X2,X1) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f101,plain,
( ~ r1_tarski(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0))
& m1_subset_1(sK1,u1_struct_0(sK0))
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& v17_lattices(sK0)
& ~ v3_realset2(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f89]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
| ! [X3] :
( ~ m1_filter_0(X3,X1)
| X0 != X3
| ~ v1_filter_0(X3,X1)
| ~ r2_hidden(X2,X3) ) )
& ( ? [X3] :
( m1_filter_0(X3,X1)
& X0 = X3
& v1_filter_0(X3,X1)
& r2_hidden(X2,X3) )
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(nnf_transformation,[],[f91]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
| ! [X3] :
( ~ m1_filter_0(X3,X1)
| X0 != X3
| ~ v1_filter_0(X3,X1)
| ~ r2_hidden(X2,X3) ) )
& ( ? [X4] :
( m1_filter_0(X4,X1)
& X0 = X4
& v1_filter_0(X4,X1)
& r2_hidden(X2,X4) )
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(rectify,[],[f102]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
| ! [X3] :
( ~ m1_filter_0(X3,X1)
| X0 != X3
| ~ v1_filter_0(X3,X1)
| ~ r2_hidden(X2,X3) ) )
& ( ( m1_filter_0(sK2(X0,X1,X2),X1)
& sK2(X0,X1,X2) = X0
& v1_filter_0(sK2(X0,X1,X2),X1)
& r2_hidden(X2,sK2(X0,X1,X2)) )
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X4,sK2(X0,X1,X2))],[f103]) ).
fof(f106,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,a_1_1_lopclset(X1))
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1) ) )
& ( ? [X2] :
( m1_filter_0(X2,X1)
& X0 = X2
& v1_filter_0(X2,X1) )
| ~ r2_hidden(X0,a_1_1_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(nnf_transformation,[],[f99]) ).
fof(f107,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,a_1_1_lopclset(X1))
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1) ) )
& ( ? [X3] :
( m1_filter_0(X3,X1)
& X0 = X3
& v1_filter_0(X3,X1) )
| ~ r2_hidden(X0,a_1_1_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,a_1_1_lopclset(X1))
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1) ) )
& ( ( m1_filter_0(sK4(X0,X1),X1)
& sK4(X0,X1) = X0
& v1_filter_0(sK4(X0,X1),X1) )
| ~ r2_hidden(X0,a_1_1_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1))],[f107]) ).
fof(f112,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f113,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK7(X0,X1),X1)
& r2_hidden(sK7(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f113]) ).
fof(f115,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f116,plain,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f117,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f118,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f119,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f120,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f101]) ).
fof(f121,plain,
~ r1_tarski(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),
inference(cnf_transformation,[],[f101]) ).
fof(f123,plain,
! [X2,X0,X1] :
( v1_filter_0(sK2(X0,X1,X2),X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| sK2(X0,X1,X2) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f125,plain,
! [X2,X0,X1] :
( m1_filter_0(sK2(X0,X1,X2),X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f129,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| k7_lopclset(X0) = a_1_1_lopclset(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f138,plain,
! [X2,X0,X1] :
( r2_hidden(X0,a_1_1_lopclset(X1))
| ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f145,plain,
! [X0,X1] :
( r2_hidden(sK7(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f146,plain,
! [X0,X1] :
( ~ r2_hidden(sK7(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f148,plain,
! [X2,X1] :
( r2_hidden(X2,a_1_1_lopclset(X1))
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f154,plain,
r2_hidden(sK7(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),a_2_0_lopclset(sK0,sK1)),
inference(unit_resulting_resolution,[],[f145,f121]) ).
fof(f155,plain,
~ r2_hidden(sK7(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),k7_lopclset(sK0)),
inference(unit_resulting_resolution,[],[f146,f121]) ).
fof(f164,plain,
k7_lopclset(sK0) = a_1_1_lopclset(sK0),
inference(unit_resulting_resolution,[],[f129,f115,f116,f117,f118,f119]) ).
fof(f167,plain,
~ r2_hidden(sK7(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),a_1_1_lopclset(sK0)),
inference(superposition,[],[f155,f164]) ).
fof(f196,plain,
v1_filter_0(sK2(sK7(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f123,f119,f115,f116,f117,f118,f120,f154]) ).
fof(f197,plain,
v1_filter_0(sK2(sK7(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),sK0,sK1),sK0),
inference(forward_demodulation,[],[f196,f164]) ).
fof(f200,plain,
sK7(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)) = sK2(sK7(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),sK0,sK1),
inference(unit_resulting_resolution,[],[f124,f119,f115,f116,f117,f118,f120,f154]) ).
fof(f201,plain,
sK7(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)) = sK2(sK7(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),sK0,sK1),
inference(forward_demodulation,[],[f200,f164]) ).
fof(f203,plain,
m1_filter_0(sK2(sK7(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f125,f119,f115,f116,f117,f118,f120,f154]) ).
fof(f204,plain,
m1_filter_0(sK2(sK7(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),sK0,sK1),sK0),
inference(forward_demodulation,[],[f203,f164]) ).
fof(f205,plain,
m1_filter_0(sK7(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),sK0),
inference(forward_demodulation,[],[f204,f201]) ).
fof(f206,plain,
~ v1_filter_0(sK7(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),sK0),
inference(unit_resulting_resolution,[],[f148,f115,f116,f117,f118,f119,f167,f205]) ).
fof(f223,plain,
v1_filter_0(sK7(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),sK0),
inference(superposition,[],[f197,f201]) ).
fof(f230,plain,
$false,
inference(forward_subsumption_resolution,[],[f223,f206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT288+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n019.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 14:15:18 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/2.05 % (3128788)Detected formulas, will run a generic FOF schedule.
% 2.62/2.05 % (3128794)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=3085994559:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.62/2.05 % (3128798)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2330854883:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.62/2.05 % (3128797)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=199761304:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.62/2.05 % (3128793)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=2470408455:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.62/2.05 % (3128796)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3945397391:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.62/2.05 % (3128795)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=985003598:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.62/2.05 % (3128796)Refutation not found, incomplete strategy
% 2.62/2.05 % (3128796)------------------------------
% 2.62/2.05 % (3128796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/2.05 % (3128796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/2.05 % (3128796)CaDiCaL version: 2.1.3
% 2.62/2.05 % (3128796)Termination reason: Refutation not found, incomplete strategy
% 2.62/2.05 % (3128796)Time elapsed: 0.004 s
% 2.62/2.05 % (3128796)Peak memory usage: 88 MB
% 2.62/2.05 % (3128796)Instructions burned: 2 (million)
% 2.62/2.05 % (3128799)dis-21_1_sil=8000:lcm=predicate:random_seed=2806132039: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)
% 2.62/2.05 % (3128797)Instruction limit reached!
% 2.62/2.05 % (3128797)------------------------------
% 2.62/2.05 % (3128797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/2.05 % (3128797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/2.05 % (3128797)CaDiCaL version: 2.1.3
% 2.62/2.05 % (3128797)Termination reason: Instruction limit
% 2.62/2.05 % (3128797)Termination phase: Saturation
% 2.62/2.05 % (3128797)Time elapsed: 0.112 s
% 2.62/2.05 % (3128797)Peak memory usage: 88 MB
% 2.62/2.05 % (3128797)Instructions burned: 119 (million)
% 2.62/2.05 % (3128798)Instruction limit reached!
% 2.62/2.05 % (3128798)------------------------------
% 2.62/2.05 % (3128798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/2.05 % (3128799)Instruction limit reached!
% 2.62/2.05 % (3128799)------------------------------
% 2.62/2.05 % (3128799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/2.05 % (3128799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/2.05 % (3128799)CaDiCaL version: 2.1.3
% 2.62/2.05 % (3128799)Termination reason: Instruction limit
% 2.62/2.05 % (3128799)Termination phase: Saturation
% 2.62/2.05 % (3128799)Time elapsed: 0.117 s
% 2.62/2.05 % (3128799)Peak memory usage: 90 MB
% 2.62/2.05 % (3128799)Instructions burned: 130 (million)
% 2.62/2.05 % (3128798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/2.05 % (3128798)CaDiCaL version: 2.1.3
% 2.62/2.05 % (3128798)Termination reason: Instruction limit
% 2.62/2.05 % (3128798)Termination phase: Saturation
% 2.62/2.05 % (3128798)Time elapsed: 0.149 s
% 2.62/2.05 % (3128798)Peak memory usage: 89 MB
% 2.62/2.05 % (3128798)Instructions burned: 139 (million)
% 2.62/2.05 % (3128808)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2111080484:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 2.62/2.05 % (3128808)First to succeed.
% 2.62/2.05 % (3128808)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3128788"
% 2.62/2.05 % (3128807)lrs+10_1_sil=8000:sp=occurrence:random_seed=427434420:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.62/2.05 % (3128796)------------------------------
% 2.62/2.05 % (3128796)------------------------------
% 2.62/2.05 % (3128809)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3763450527:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 2.62/2.05 % (3128794)Also succeeded, but the first one will report.
% 2.62/2.05 % (3128807)Instruction limit reached!
% 2.62/2.05 % (3128807)------------------------------
% 2.62/2.05 % (3128807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/2.05 % (3128807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/2.05 % (3128807)CaDiCaL version: 2.1.3
% 2.62/2.05 % (3128807)Termination reason: Instruction limit
% 2.62/2.05 % (3128807)Termination phase: Saturation
% 2.62/2.05 % (3128807)Time elapsed: 0.276 s
% 2.62/2.05 % (3128807)Peak memory usage: 91 MB
% 2.62/2.05 % (3128807)Instructions burned: 286 (million)
% 2.62/2.05 % (3128814)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3149682857:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 2.62/2.05 % (3128814)Also succeeded, but the first one will report.
% 2.62/2.05 % (3128808)Refutation found. Thanks to Tanya!
% 2.62/2.05 % SZS status Theorem for theBenchmark
% 2.62/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 8.03/2.27 % (3128808)------------------------------
% 8.03/2.27 % (3128808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/2.27 % (3128808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.27 % (3128808)CaDiCaL version: 2.1.3
% 8.03/2.27 % (3128808)Termination reason: Refutation
% 8.03/2.27 % (3128808)Time elapsed: 0.008 s
% 8.03/2.27 % (3128808)Peak memory usage: 89 MB
% 8.03/2.27 % (3128808)Instructions burned: 8 (million)
% 8.03/2.27 % (3128808)------------------------------
% 8.03/2.27 % (3128808)------------------------------
% 8.03/2.27 % (3128788)Success in time 1.027 s
% 8.03/2.27 % Vampire exiting
%------------------------------------------------------------------------------