%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n017.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 11:48:13 AM UTC 2026
% Result : Theorem 4.39s 1.09s
% Output : Refutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 13 unt; 0 def)
% Number of atoms : 327 ( 26 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 395 ( 134 ~; 197 |; 48 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 106 ( 96 !; 10 ?)
% 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(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(ennf_transformation,[],[f2]) ).
fof(f90,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,[],[f89]) ).
fof(f121,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f122,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(f123,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,[],[f122]) ).
fof(f137,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(f138,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,[],[f137]) ).
fof(f139,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(f140,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,[],[f139]) ).
fof(f155,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f90]) ).
fof(f156,plain,
~ r1_tarski(a_2_0_lopclset(sK0,sK1),k7_lopclset(sK0)),
inference(cnf_transformation,[],[f90]) ).
fof(f157,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f158,plain,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f159,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f160,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f161,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f215,plain,
! [X0,X1] :
( r2_hidden(sK2(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f216,plain,
! [X0,X1] :
( ~ r2_hidden(sK2(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f217,plain,
! [X0] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_lopclset(X0) = a_1_1_lopclset(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f246,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1)
| r2_hidden(X0,a_1_1_lopclset(X1)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f248,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_filter_0(sK10(X0,X1,X2),X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK10(X0,X1,X2) = X0
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_filter_0(sK10(X0,X1,X2),X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f298,plain,
! [X2,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_filter_0(X2,X1)
| ~ m1_filter_0(X2,X1)
| r2_hidden(X2,a_1_1_lopclset(X1)) ),
inference(equality_resolution,[],[f246]) ).
fof(f300,plain,
~ m1_subset_1(sK1,u1_struct_0(sK0)),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f365,plain,
! [X2,X1] :
( ~ m1_filter_0(X2,X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| r2_hidden(X2,a_1_1_lopclset(X1)) ),
inference(consistent_polarity_flipping,[],[f298]) ).
fof(f368,plain,
! [X2,X0,X1] :
( ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_filter_0(sK10(X0,X1,X2),X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(consistent_polarity_flipping,[],[f250]) ).
fof(f369,plain,
! [X2,X0,X1] :
( ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK10(X0,X1,X2) = X0
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(consistent_polarity_flipping,[],[f249]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ v1_filter_0(sK10(X0,X1,X2),X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(consistent_polarity_flipping,[],[f248]) ).
fof(f484,plain,
( ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| k7_lopclset(sK0) = a_1_1_lopclset(sK0) ),
inference(resolution,[],[f217,f158]) ).
fof(f487,plain,
( ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| k7_lopclset(sK0) = a_1_1_lopclset(sK0) ),
inference(forward_subsumption_resolution,[],[f484,f157]) ).
fof(f489,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| k7_lopclset(sK0) = a_1_1_lopclset(sK0) ),
inference(forward_subsumption_resolution,[],[f487,f159]) ).
fof(f491,plain,
( v3_struct_0(sK0)
| k7_lopclset(sK0) = a_1_1_lopclset(sK0) ),
inference(forward_subsumption_resolution,[],[f489,f160]) ).
fof(f493,plain,
k7_lopclset(sK0) = a_1_1_lopclset(sK0),
inference(forward_subsumption_resolution,[],[f491,f161]) ).
fof(f494,plain,
~ r1_tarski(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),
inference(superposition,[],[f156,f493]) ).
fof(f540,plain,
! [X0,X1] :
( ~ l3_lattices(sK0)
| v3_realset2(sK0)
| m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| m1_filter_0(sK10(X1,sK0,X0),sK0)
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0)) ),
inference(resolution,[],[f368,f159]) ).
fof(f543,plain,
! [X0,X1] :
( v3_realset2(sK0)
| m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| m1_filter_0(sK10(X1,sK0,X0),sK0)
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f540,f157]) ).
fof(f545,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| m1_filter_0(sK10(X1,sK0,X0),sK0)
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f543,f158]) ).
fof(f547,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| m1_filter_0(sK10(X1,sK0,X0),sK0)
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f545,f160]) ).
fof(f549,plain,
! [X0,X1] :
( m1_filter_0(sK10(X1,sK0,X0),sK0)
| m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f547,f161]) ).
fof(f556,plain,
! [X0,X1] :
( ~ l3_lattices(sK0)
| v3_realset2(sK0)
| m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| sK10(X1,sK0,X0) = X1
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0)) ),
inference(resolution,[],[f369,f159]) ).
fof(f559,plain,
! [X0,X1] :
( v3_realset2(sK0)
| m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| sK10(X1,sK0,X0) = X1
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f556,f157]) ).
fof(f561,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| sK10(X1,sK0,X0) = X1
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f559,f158]) ).
fof(f563,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| sK10(X1,sK0,X0) = X1
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f561,f160]) ).
fof(f565,plain,
! [X0,X1] :
( ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0))
| sK10(X1,sK0,X0) = X1
| m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f563,f161]) ).
fof(f606,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0))
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| v1_filter_0(sK10(X1,sK0,X0),sK0)
| ~ l3_lattices(sK0)
| r2_hidden(sK10(X1,sK0,X0),a_1_1_lopclset(sK0)) ),
inference(resolution,[],[f549,f365]) ).
fof(f611,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0))
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| r2_hidden(sK10(X1,sK0,X0),a_1_1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f606,f370]) ).
fof(f614,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0))
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| r2_hidden(sK10(X1,sK0,X0),a_1_1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f611,f158]) ).
fof(f617,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| r2_hidden(sK10(X1,sK0,X0),a_1_1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f614,f159]) ).
fof(f618,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0))
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| r2_hidden(sK10(X1,sK0,X0),a_1_1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f617,f160]) ).
fof(f619,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0))
| ~ l3_lattices(sK0)
| r2_hidden(sK10(X1,sK0,X0),a_1_1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f618,f161]) ).
fof(f620,plain,
! [X0,X1] :
( ~ r2_hidden(X1,a_2_0_lopclset(sK0,X0))
| m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(sK10(X1,sK0,X0),a_1_1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f619,f157]) ).
fof(f621,plain,
! [X0,X1] :
( r1_tarski(a_2_0_lopclset(sK0,X0),X1)
| m1_subset_1(X0,u1_struct_0(sK0))
| sK2(a_2_0_lopclset(sK0,X0),X1) = sK10(sK2(a_2_0_lopclset(sK0,X0),X1),sK0,X0) ),
inference(resolution,[],[f565,f215]) ).
fof(f1226,plain,
! [X0,X1] :
( r2_hidden(sK10(sK2(a_2_0_lopclset(sK0,X0),X1),sK0,X0),a_1_1_lopclset(sK0))
| m1_subset_1(X0,u1_struct_0(sK0))
| r1_tarski(a_2_0_lopclset(sK0,X0),X1) ),
inference(resolution,[],[f620,f215]) ).
fof(f1441,plain,
( m1_subset_1(sK1,u1_struct_0(sK0))
| sK2(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)) = sK10(sK2(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),sK0,sK1) ),
inference(resolution,[],[f621,f494]) ).
fof(f1448,plain,
sK2(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)) = sK10(sK2(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),sK0,sK1),
inference(forward_subsumption_resolution,[],[f1441,f300]) ).
fof(f21039,plain,
( r2_hidden(sK2(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),a_1_1_lopclset(sK0))
| m1_subset_1(sK1,u1_struct_0(sK0))
| r1_tarski(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)) ),
inference(superposition,[],[f1226,f1448]) ).
fof(f21041,plain,
( m1_subset_1(sK1,u1_struct_0(sK0))
| r1_tarski(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f21039,f216]) ).
fof(f21044,plain,
r1_tarski(a_2_0_lopclset(sK0,sK1),a_1_1_lopclset(sK0)),
inference(forward_subsumption_resolution,[],[f21041,f300]) ).
fof(f21045,plain,
$false,
inference(forward_subsumption_resolution,[],[f21044,f494]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.12/0.37 % Computer : n017.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 14:10:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 4.39/1.09 % (2589346)Will run a generic schedule for satisfiability detection.
% 4.39/1.09 % (2589355)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3261235926:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.39/1.09 % (2589352)% WARNING: option uhcvi not known.
% 4.39/1.09 % (2589351)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1637566012_2999 on theBenchmark for (2999ds/0Mi)
% 4.39/1.09 % (2589353)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2639122653:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.39/1.09 % (2589354)dis+10_1_sil=32000:sp=arity:random_seed=2724573696:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.39/1.09 % (2589356)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4018835237:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.39/1.09 % (2589357)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2155931313:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.39/1.09 % (2589352)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3392856045:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.39/1.09 % TRYING [1]
% 4.39/1.09 % TRYING [2]
% 4.39/1.09 % TRYING [3]
% 4.39/1.09 % TRYING [4]
% 4.39/1.09 % TRYING [5]
% 4.39/1.09 % (2589355)Instruction limit reached!
% 4.39/1.09 % (2589355)------------------------------
% 4.39/1.09 % (2589355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589355)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589355)Termination reason: Instruction limit
% 4.39/1.09 % (2589355)Termination phase: Saturation
% 4.39/1.09 % (2589355)Time elapsed: 0.041 s
% 4.39/1.09 % (2589355)Peak memory usage: 13 MB
% 4.39/1.09 % (2589355)Instructions burned: 117 (million)
% 4.39/1.09 % TRYING [6]
% 4.39/1.09 % (2589365)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1046782497:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.39/1.09 % TRYING [1]
% 4.39/1.09 % TRYING [2]
% 4.39/1.09 % TRYING [3]
% 4.39/1.09 % TRYING [4]
% 4.39/1.09 % TRYING [5]
% 4.39/1.09 % (2589354)Instruction limit reached!
% 4.39/1.09 % (2589354)------------------------------
% 4.39/1.09 % (2589354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589354)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589354)Termination reason: Instruction limit
% 4.39/1.09 % (2589354)Termination phase: Saturation
% 4.39/1.09 % (2589354)Time elapsed: 0.064 s
% 4.39/1.09 % (2589354)Peak memory usage: 12 MB
% 4.39/1.09 % (2589354)Instructions burned: 103 (million)
% 4.39/1.09 % TRYING [6]
% 4.39/1.09 % (2589356)Instruction limit reached!
% 4.39/1.09 % (2589356)------------------------------
% 4.39/1.09 % (2589356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589356)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589356)Termination reason: Instruction limit
% 4.39/1.09 % (2589356)Termination phase: Saturation
% 4.39/1.09 % (2589356)Time elapsed: 0.081 s
% 4.39/1.09 % (2589356)Peak memory usage: 13 MB
% 4.39/1.09 % (2589356)Instructions burned: 131 (million)
% 4.39/1.09 % (2589367)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2859644478:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.39/1.09 % TRYING [7]
% 4.39/1.09 % TRYING [7]
% 4.39/1.09 % (2589368)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=835707676:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.39/1.09 % (2589357)Instruction limit reached!
% 4.39/1.09 % (2589357)------------------------------
% 4.39/1.09 % (2589357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589357)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589357)Termination reason: Instruction limit
% 4.39/1.09 % (2589357)Termination phase: Saturation
% 4.39/1.09 % (2589357)Time elapsed: 0.103 s
% 4.39/1.09 % (2589357)Peak memory usage: 14 MB
% 4.39/1.09 % (2589357)Instructions burned: 160 (million)
% 4.39/1.09 % (2589371)ott-21_1_sil=16000:fs=off:random_seed=2392006607:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.39/1.09 % (2589367)Instruction limit reached!
% 4.39/1.09 % (2589367)------------------------------
% 4.39/1.09 % (2589367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589367)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589367)Termination reason: Instruction limit
% 4.39/1.09 % (2589367)Termination phase: Saturation
% 4.39/1.09 % (2589367)Time elapsed: 0.083 s
% 4.39/1.09 % (2589367)Peak memory usage: 13 MB
% 4.39/1.09 % (2589367)Instructions burned: 131 (million)
% 4.39/1.09 % (2589373)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2925415500:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.39/1.09 % (2589371)Instruction limit reached!
% 4.39/1.09 % (2589371)------------------------------
% 4.39/1.09 % (2589371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589371)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589371)Termination reason: Instruction limit
% 4.39/1.09 % (2589371)Termination phase: Saturation
% 4.39/1.09 % (2589371)Time elapsed: 0.095 s
% 4.39/1.09 % (2589371)Peak memory usage: 13 MB
% 4.39/1.09 % (2589371)Instructions burned: 181 (million)
% 4.39/1.09 % (2589365)Instruction limit reached!
% 4.39/1.09 % (2589365)------------------------------
% 4.39/1.09 % (2589365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589365)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589365)Termination reason: Instruction limit
% 4.39/1.09 % (2589365)Termination phase: Finite model building SAT solving
% 4.39/1.09 % (2589365)Time elapsed: 0.193 s
% 4.39/1.09 % (2589365)Peak memory usage: 24 MB
% 4.39/1.09 % (2589365)Instructions burned: 716 (million)
% 4.39/1.09 % (2589375)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3098181774:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.39/1.09 % TRYING [1]
% 4.39/1.09 % TRYING [2]
% 4.39/1.09 % TRYING [3]
% 4.39/1.09 % (2589377)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3262783788:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.39/1.09 % TRYING [4]
% 4.39/1.09 % TRYING [5]
% 4.39/1.09 % TRYING [6]
% 4.39/1.09 % TRYING [7]
% 4.39/1.09 % TRYING [8]
% 4.39/1.09 % (2589373)Instruction limit reached!
% 4.39/1.09 % (2589373)------------------------------
% 4.39/1.09 % (2589373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589373)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589373)Termination reason: Instruction limit
% 4.39/1.09 % (2589373)Termination phase: Saturation
% 4.39/1.09 % (2589373)Time elapsed: 0.322 s
% 4.39/1.09 % (2589373)Peak memory usage: 15 MB
% 4.39/1.09 % (2589373)Instructions burned: 477 (million)
% 4.39/1.09 % (2589368)Instruction limit reached!
% 4.39/1.09 % (2589368)------------------------------
% 4.39/1.09 % (2589368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589368)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589368)Termination reason: Instruction limit
% 4.39/1.09 % (2589368)Termination phase: Saturation
% 4.39/1.09 % (2589368)Time elapsed: 0.423 s
% 4.39/1.09 % (2589368)Peak memory usage: 21 MB
% 4.39/1.09 % (2589368)Instructions burned: 684 (million)
% 4.39/1.09 % (2589379)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4248189799:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.39/1.09 % (2589380)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=346666052: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)
% 4.39/1.09 % TRYING [14]
% 4.39/1.09 % (2589375)Instruction limit reached!
% 4.39/1.09 % (2589375)------------------------------
% 4.39/1.09 % (2589375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589375)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589375)Termination reason: Instruction limit
% 4.39/1.09 % (2589375)Termination phase: Finite model building constraint generation
% 4.39/1.09 % (2589375)Time elapsed: 0.370 s
% 4.39/1.09 % (2589375)Peak memory usage: 20 MB
% 4.39/1.09 % (2589375)Instructions burned: 866 (million)
% 4.39/1.09 % (2589377)Instruction limit reached!
% 4.39/1.09 % (2589377)------------------------------
% 4.39/1.09 % (2589377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589377)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589377)Termination reason: Instruction limit
% 4.39/1.09 % (2589377)Termination phase: Saturation
% 4.39/1.09 % (2589377)Time elapsed: 0.359 s
% 4.39/1.09 % (2589377)Peak memory usage: 23 MB
% 4.39/1.09 % (2589377)Instructions burned: 1183 (million)
% 4.39/1.09 % (2589383)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3064351238:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 4.39/1.09 % (2589384)fmb+10_1_sil=64000:random_seed=4010837019:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 4.39/1.09 % (2589352) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2589346-2589352"...
% 4.39/1.09 % TRYING [1]
% 4.39/1.09 % (2589352)...printing done.
% 4.39/1.09 % TRYING [2]
% 4.39/1.09 % (2589352)Refutation found. Thanks to Tanya!
% 4.39/1.09 % SZS status Theorem for theBenchmark
% 4.39/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 4.39/1.09 % (2589352)------------------------------
% 4.39/1.09 % (2589352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.39/1.09 % (2589352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.09 % (2589352)CaDiCaL version: 2.1.3
% 4.39/1.09 % (2589352)Termination reason: Refutation
% 4.39/1.09 % (2589352)Time elapsed: 0.633 s
% 4.39/1.09 % (2589352)Peak memory usage: 20 MB
% 4.39/1.09 % (2589352)Instructions burned: 1053 (million)
% 4.39/1.09 % (2589346)Success in time 0.677 s
% 4.39/1.09 % Vampire exiting
%------------------------------------------------------------------------------