TSTP Solution File: LAT337+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:37:08 EDT 2022
% Result : Theorem 2.04s 0.63s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 18
% Syntax : Number of formulae : 201 ( 26 unt; 0 def)
% Number of atoms : 1152 ( 3 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 1588 ( 637 ~; 659 |; 261 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 144 ( 129 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f978,plain,
$false,
inference(subsumption_resolution,[],[f977,f858]) ).
fof(f858,plain,
~ v3_struct_0(sF35),
inference(forward_demodulation,[],[f845,f516]) ).
fof(f516,plain,
sF35 = k23_filter_2(sK22,sF34),
introduced(function_definition,[]) ).
fof(f845,plain,
~ v3_struct_0(k23_filter_2(sK22,sF34)),
inference(resolution,[],[f836,f350]) ).
fof(f350,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ v3_struct_0(k23_filter_2(X1,X0)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ( v3_lattices(k23_filter_2(X1,X0))
& v8_lattices(k23_filter_2(X1,X0))
& v6_lattices(k23_filter_2(X1,X0))
& v5_lattices(k23_filter_2(X1,X0))
& v10_lattices(k23_filter_2(X1,X0))
& v4_lattices(k23_filter_2(X1,X0))
& ~ v3_struct_0(k23_filter_2(X1,X0))
& v9_lattices(k23_filter_2(X1,X0))
& v7_lattices(k23_filter_2(X1,X0)) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f230]) ).
fof(f230,plain,
! [X1,X0] :
( ( v3_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& ~ v3_struct_0(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1)) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X1,X0] :
( ( v3_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& ~ v3_struct_0(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1)) )
| ~ sP1(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f836,plain,
sP1(sF34,sK22),
inference(subsumption_resolution,[],[f835,f435]) ).
fof(f435,plain,
~ v3_struct_0(sK22),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
( ~ v3_struct_0(sK22)
& v10_lattices(sK22)
& m1_subset_1(sK23,u1_struct_0(sK22))
& v17_lattices(sK22)
& m1_subset_1(sK24,u1_struct_0(sK22))
& ~ v3_struct_0(sK22)
& ( ~ v10_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| v3_struct_0(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ l3_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v17_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24))) )
& r3_lattices(sK22,sK23,sK24)
& l3_lattices(sK22)
& v10_lattices(sK22)
& l3_lattices(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24])],[f142,f260,f259,f258]) ).
fof(f258,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& v10_lattices(X0)
& ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( v17_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0))
& ~ v3_struct_0(X0)
& ( ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
& r3_lattices(X0,X1,X2)
& l3_lattices(X0)
& v10_lattices(X0) ) )
& l3_lattices(X0) )
=> ( ~ v3_struct_0(sK22)
& v10_lattices(sK22)
& ? [X1] :
( m1_subset_1(X1,u1_struct_0(sK22))
& ? [X2] :
( v17_lattices(sK22)
& m1_subset_1(X2,u1_struct_0(sK22))
& ~ v3_struct_0(sK22)
& ( ~ v10_lattices(k23_filter_2(sK22,k22_filter_2(sK22,X1,X2)))
| v3_struct_0(k23_filter_2(sK22,k22_filter_2(sK22,X1,X2)))
| ~ l3_lattices(k23_filter_2(sK22,k22_filter_2(sK22,X1,X2)))
| ~ v17_lattices(k23_filter_2(sK22,k22_filter_2(sK22,X1,X2))) )
& r3_lattices(sK22,X1,X2)
& l3_lattices(sK22)
& v10_lattices(sK22) ) )
& l3_lattices(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
( ? [X1] :
( m1_subset_1(X1,u1_struct_0(sK22))
& ? [X2] :
( v17_lattices(sK22)
& m1_subset_1(X2,u1_struct_0(sK22))
& ~ v3_struct_0(sK22)
& ( ~ v10_lattices(k23_filter_2(sK22,k22_filter_2(sK22,X1,X2)))
| v3_struct_0(k23_filter_2(sK22,k22_filter_2(sK22,X1,X2)))
| ~ l3_lattices(k23_filter_2(sK22,k22_filter_2(sK22,X1,X2)))
| ~ v17_lattices(k23_filter_2(sK22,k22_filter_2(sK22,X1,X2))) )
& r3_lattices(sK22,X1,X2)
& l3_lattices(sK22)
& v10_lattices(sK22) ) )
=> ( m1_subset_1(sK23,u1_struct_0(sK22))
& ? [X2] :
( v17_lattices(sK22)
& m1_subset_1(X2,u1_struct_0(sK22))
& ~ v3_struct_0(sK22)
& ( ~ v10_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,X2)))
| v3_struct_0(k23_filter_2(sK22,k22_filter_2(sK22,sK23,X2)))
| ~ l3_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,X2)))
| ~ v17_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,X2))) )
& r3_lattices(sK22,sK23,X2)
& l3_lattices(sK22)
& v10_lattices(sK22) ) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
( ? [X2] :
( v17_lattices(sK22)
& m1_subset_1(X2,u1_struct_0(sK22))
& ~ v3_struct_0(sK22)
& ( ~ v10_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,X2)))
| v3_struct_0(k23_filter_2(sK22,k22_filter_2(sK22,sK23,X2)))
| ~ l3_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,X2)))
| ~ v17_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,X2))) )
& r3_lattices(sK22,sK23,X2)
& l3_lattices(sK22)
& v10_lattices(sK22) )
=> ( v17_lattices(sK22)
& m1_subset_1(sK24,u1_struct_0(sK22))
& ~ v3_struct_0(sK22)
& ( ~ v10_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| v3_struct_0(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ l3_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v17_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24))) )
& r3_lattices(sK22,sK23,sK24)
& l3_lattices(sK22)
& v10_lattices(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
? [X0] :
( ~ v3_struct_0(X0)
& v10_lattices(X0)
& ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( v17_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0))
& ~ v3_struct_0(X0)
& ( ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
& r3_lattices(X0,X1,X2)
& l3_lattices(X0)
& v10_lattices(X0) ) )
& l3_lattices(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& r3_lattices(X0,X1,X2)
& ~ v3_struct_0(X0)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& r3_lattices(X0,X1,X2)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& r3_lattices(X0,X1,X2)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_filter_2) ).
fof(f835,plain,
( sP1(sF34,sK22)
| v3_struct_0(sK22) ),
inference(subsumption_resolution,[],[f834,f426]) ).
fof(f426,plain,
v10_lattices(sK22),
inference(cnf_transformation,[],[f261]) ).
fof(f834,plain,
( ~ v10_lattices(sK22)
| sP1(sF34,sK22)
| v3_struct_0(sK22) ),
inference(subsumption_resolution,[],[f833,f425]) ).
fof(f425,plain,
l3_lattices(sK22),
inference(cnf_transformation,[],[f261]) ).
fof(f833,plain,
( sP1(sF34,sK22)
| ~ l3_lattices(sK22)
| ~ v10_lattices(sK22)
| v3_struct_0(sK22) ),
inference(subsumption_resolution,[],[f827,f706]) ).
fof(f706,plain,
~ v1_xboole_0(sF34),
inference(subsumption_resolution,[],[f705,f513]) ).
fof(f513,plain,
m1_subset_1(sK23,sF33),
inference(definition_folding,[],[f433,f512]) ).
fof(f512,plain,
sF33 = u1_struct_0(sK22),
introduced(function_definition,[]) ).
fof(f433,plain,
m1_subset_1(sK23,u1_struct_0(sK22)),
inference(cnf_transformation,[],[f261]) ).
fof(f705,plain,
( ~ v1_xboole_0(sF34)
| ~ m1_subset_1(sK23,sF33) ),
inference(forward_demodulation,[],[f704,f512]) ).
fof(f704,plain,
( ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v1_xboole_0(sF34) ),
inference(subsumption_resolution,[],[f703,f514]) ).
fof(f514,plain,
m1_subset_1(sK24,sF33),
inference(definition_folding,[],[f431,f512]) ).
fof(f431,plain,
m1_subset_1(sK24,u1_struct_0(sK22)),
inference(cnf_transformation,[],[f261]) ).
fof(f703,plain,
( ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ m1_subset_1(sK24,sF33)
| ~ v1_xboole_0(sF34) ),
inference(forward_demodulation,[],[f702,f512]) ).
fof(f702,plain,
( ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v1_xboole_0(sF34)
| ~ m1_subset_1(sK23,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f701,f435]) ).
fof(f701,plain,
( ~ m1_subset_1(sK24,u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ v1_xboole_0(sF34)
| ~ m1_subset_1(sK23,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f700,f425]) ).
fof(f700,plain,
( ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ l3_lattices(sK22)
| ~ v1_xboole_0(sF34)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| v3_struct_0(sK22) ),
inference(subsumption_resolution,[],[f699,f426]) ).
fof(f699,plain,
( ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v10_lattices(sK22)
| ~ l3_lattices(sK22)
| ~ v1_xboole_0(sF34)
| v3_struct_0(sK22) ),
inference(superposition,[],[f391,f515]) ).
fof(f515,plain,
sF34 = k22_filter_2(sK22,sK23,sK24),
introduced(function_definition,[]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k22_filter_2(X0,X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ( ~ v1_xboole_0(k22_filter_2(X0,X2,X1))
& m2_lattice4(k22_filter_2(X0,X2,X1),X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0,X2,X1] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X2,X1))
& m2_lattice4(k22_filter_2(X0,X2,X1),X0) )
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X2,X1] :
( ( v10_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0))
& ~ v3_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0) )
=> ( ~ v1_xboole_0(k22_filter_2(X0,X2,X1))
& m2_lattice4(k22_filter_2(X0,X2,X1),X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X2,X1] :
( ( v10_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& ~ v3_struct_0(X0)
& l3_lattices(X0)
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
& ~ v1_xboole_0(k22_filter_2(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(f827,plain,
( v1_xboole_0(sF34)
| sP1(sF34,sK22)
| ~ l3_lattices(sK22)
| v3_struct_0(sK22)
| ~ v10_lattices(sK22) ),
inference(resolution,[],[f824,f357]) ).
fof(f357,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| ~ v10_lattices(X0)
| v1_xboole_0(X1)
| v3_struct_0(X0)
| sP1(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| sP1(X1,X0)
| ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0) ),
inference(definition_folding,[],[f121,f200]) ).
fof(f121,plain,
! [X0,X1] :
( v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ( v3_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& ~ v3_struct_0(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1)) )
| ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( v3_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& ~ v3_struct_0(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1)) )
| ~ l3_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] :
( ( l3_lattices(X0)
& m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v10_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& ~ v3_struct_0(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_filter_2) ).
fof(f824,plain,
m2_lattice4(sF34,sK22),
inference(subsumption_resolution,[],[f823,f514]) ).
fof(f823,plain,
( m2_lattice4(sF34,sK22)
| ~ m1_subset_1(sK24,sF33) ),
inference(subsumption_resolution,[],[f816,f513]) ).
fof(f816,plain,
( ~ m1_subset_1(sK23,sF33)
| m2_lattice4(sF34,sK22)
| ~ m1_subset_1(sK24,sF33) ),
inference(superposition,[],[f711,f515]) ).
fof(f711,plain,
! [X0,X1] :
( m2_lattice4(k22_filter_2(sK22,X1,X0),sK22)
| ~ m1_subset_1(X0,sF33)
| ~ m1_subset_1(X1,sF33) ),
inference(subsumption_resolution,[],[f710,f435]) ).
fof(f710,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF33)
| m2_lattice4(k22_filter_2(sK22,X1,X0),sK22)
| v3_struct_0(sK22)
| ~ m1_subset_1(X1,sF33) ),
inference(subsumption_resolution,[],[f709,f425]) ).
fof(f709,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF33)
| m2_lattice4(k22_filter_2(sK22,X1,X0),sK22)
| ~ l3_lattices(sK22)
| v3_struct_0(sK22)
| ~ m1_subset_1(X0,sF33) ),
inference(subsumption_resolution,[],[f708,f426]) ).
fof(f708,plain,
! [X0,X1] :
( m2_lattice4(k22_filter_2(sK22,X1,X0),sK22)
| ~ m1_subset_1(X1,sF33)
| ~ v10_lattices(sK22)
| v3_struct_0(sK22)
| ~ m1_subset_1(X0,sF33)
| ~ l3_lattices(sK22) ),
inference(superposition,[],[f390,f512]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| m2_lattice4(k22_filter_2(X0,X2,X1),X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f977,plain,
v3_struct_0(sF35),
inference(subsumption_resolution,[],[f976,f842]) ).
fof(f842,plain,
v10_lattices(sF35),
inference(subsumption_resolution,[],[f841,f426]) ).
fof(f841,plain,
( v10_lattices(sF35)
| ~ v10_lattices(sK22) ),
inference(subsumption_resolution,[],[f840,f425]) ).
fof(f840,plain,
( ~ l3_lattices(sK22)
| ~ v10_lattices(sK22)
| v10_lattices(sF35) ),
inference(subsumption_resolution,[],[f839,f435]) ).
fof(f839,plain,
( v3_struct_0(sK22)
| v10_lattices(sF35)
| ~ v10_lattices(sK22)
| ~ l3_lattices(sK22) ),
inference(resolution,[],[f832,f452]) ).
fof(f452,plain,
! [X0,X1] :
( ~ m2_nat_lat(X1,X0)
| v10_lattices(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_nat_lat(X1,X0)
| ( ~ v3_struct_0(X1)
& l3_lattices(X1)
& v10_lattices(X1) ) ) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ~ m2_nat_lat(X1,X0)
| ( ~ v3_struct_0(X1)
& l3_lattices(X1)
& v10_lattices(X1) ) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m2_nat_lat(X1,X0)
=> ( ~ v3_struct_0(X1)
& l3_lattices(X1)
& v10_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_nat_lat) ).
fof(f832,plain,
m2_nat_lat(sF35,sK22),
inference(forward_demodulation,[],[f831,f516]) ).
fof(f831,plain,
m2_nat_lat(k23_filter_2(sK22,sF34),sK22),
inference(subsumption_resolution,[],[f830,f706]) ).
fof(f830,plain,
( v1_xboole_0(sF34)
| m2_nat_lat(k23_filter_2(sK22,sF34),sK22) ),
inference(subsumption_resolution,[],[f829,f426]) ).
fof(f829,plain,
( ~ v10_lattices(sK22)
| m2_nat_lat(k23_filter_2(sK22,sF34),sK22)
| v1_xboole_0(sF34) ),
inference(subsumption_resolution,[],[f828,f435]) ).
fof(f828,plain,
( v3_struct_0(sK22)
| v1_xboole_0(sF34)
| m2_nat_lat(k23_filter_2(sK22,sF34),sK22)
| ~ v10_lattices(sK22) ),
inference(subsumption_resolution,[],[f826,f425]) ).
fof(f826,plain,
( ~ l3_lattices(sK22)
| m2_nat_lat(k23_filter_2(sK22,sF34),sK22)
| v1_xboole_0(sF34)
| ~ v10_lattices(sK22)
| v3_struct_0(sK22) ),
inference(resolution,[],[f824,f436]) ).
fof(f436,plain,
! [X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| m2_nat_lat(k23_filter_2(X1,X0),X1)
| v1_xboole_0(X0)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| m2_nat_lat(k23_filter_2(X1,X0),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X1,X0] :
( m2_nat_lat(k23_filter_2(X1,X0),X1)
| v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
! [X1,X0] :
( ( ~ v1_xboole_0(X0)
& m2_lattice4(X0,X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> m2_nat_lat(k23_filter_2(X1,X0),X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X1,X0] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_nat_lat(k23_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k23_filter_2) ).
fof(f976,plain,
( ~ v10_lattices(sF35)
| v3_struct_0(sF35) ),
inference(subsumption_resolution,[],[f974,f794]) ).
fof(f794,plain,
l3_lattices(sF35),
inference(subsumption_resolution,[],[f793,f425]) ).
fof(f793,plain,
( ~ l3_lattices(sK22)
| l3_lattices(sF35) ),
inference(subsumption_resolution,[],[f792,f435]) ).
fof(f792,plain,
( v3_struct_0(sK22)
| l3_lattices(sF35)
| ~ l3_lattices(sK22) ),
inference(subsumption_resolution,[],[f791,f432]) ).
fof(f432,plain,
v17_lattices(sK22),
inference(cnf_transformation,[],[f261]) ).
fof(f791,plain,
( ~ v17_lattices(sK22)
| ~ l3_lattices(sK22)
| l3_lattices(sF35)
| v3_struct_0(sK22) ),
inference(resolution,[],[f789,f370]) ).
fof(f370,plain,
! [X0] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ( ~ v3_struct_0(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v11_lattices(X0) ) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v11_lattices(X0) )
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ~ v3_struct_0(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v11_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f789,plain,
( ~ v15_lattices(sK22)
| l3_lattices(sF35) ),
inference(subsumption_resolution,[],[f788,f425]) ).
fof(f788,plain,
( l3_lattices(sF35)
| ~ v15_lattices(sK22)
| ~ l3_lattices(sK22) ),
inference(subsumption_resolution,[],[f787,f435]) ).
fof(f787,plain,
( v3_struct_0(sK22)
| ~ l3_lattices(sK22)
| ~ v15_lattices(sK22)
| l3_lattices(sF35) ),
inference(subsumption_resolution,[],[f786,f432]) ).
fof(f786,plain,
( ~ v15_lattices(sK22)
| ~ v17_lattices(sK22)
| v3_struct_0(sK22)
| ~ l3_lattices(sK22)
| l3_lattices(sF35) ),
inference(resolution,[],[f742,f371]) ).
fof(f371,plain,
! [X0] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f742,plain,
( ~ v16_lattices(sK22)
| l3_lattices(sF35)
| ~ v15_lattices(sK22) ),
inference(forward_demodulation,[],[f741,f516]) ).
fof(f741,plain,
( ~ v16_lattices(sK22)
| l3_lattices(k23_filter_2(sK22,sF34))
| ~ v15_lattices(sK22) ),
inference(subsumption_resolution,[],[f740,f513]) ).
fof(f740,plain,
( ~ m1_subset_1(sK23,sF33)
| ~ v15_lattices(sK22)
| l3_lattices(k23_filter_2(sK22,sF34))
| ~ v16_lattices(sK22) ),
inference(forward_demodulation,[],[f739,f512]) ).
fof(f739,plain,
( ~ v16_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v15_lattices(sK22)
| l3_lattices(k23_filter_2(sK22,sF34)) ),
inference(subsumption_resolution,[],[f738,f514]) ).
fof(f738,plain,
( ~ v16_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ m1_subset_1(sK24,sF33)
| ~ v15_lattices(sK22)
| l3_lattices(k23_filter_2(sK22,sF34)) ),
inference(forward_demodulation,[],[f737,f512]) ).
fof(f737,plain,
( ~ m1_subset_1(sK24,u1_struct_0(sK22))
| l3_lattices(k23_filter_2(sK22,sF34))
| ~ v15_lattices(sK22)
| ~ v16_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f736,f435]) ).
fof(f736,plain,
( ~ v15_lattices(sK22)
| l3_lattices(k23_filter_2(sK22,sF34))
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v16_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| v3_struct_0(sK22) ),
inference(subsumption_resolution,[],[f735,f637]) ).
fof(f637,plain,
v12_lattices(sK22),
inference(resolution,[],[f634,f337]) ).
fof(f337,plain,
! [X0] :
( ~ sP0(X0)
| v12_lattices(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ( v8_lattices(X0)
& v4_lattices(X0)
& v10_lattices(X0)
& v6_lattices(X0)
& v9_lattices(X0)
& v5_lattices(X0)
& v12_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ( v8_lattices(X0)
& v4_lattices(X0)
& v10_lattices(X0)
& v6_lattices(X0)
& v9_lattices(X0)
& v5_lattices(X0)
& v12_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f634,plain,
sP0(sK22),
inference(subsumption_resolution,[],[f633,f426]) ).
fof(f633,plain,
( ~ v10_lattices(sK22)
| sP0(sK22) ),
inference(subsumption_resolution,[],[f632,f425]) ).
fof(f632,plain,
( ~ l3_lattices(sK22)
| sP0(sK22)
| ~ v10_lattices(sK22) ),
inference(subsumption_resolution,[],[f630,f435]) ).
fof(f630,plain,
( v3_struct_0(sK22)
| sP0(sK22)
| ~ v10_lattices(sK22)
| ~ l3_lattices(sK22) ),
inference(resolution,[],[f567,f432]) ).
fof(f567,plain,
! [X0] :
( ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| sP0(X0)
| v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f566]) ).
fof(f566,plain,
! [X0] :
( ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| sP0(X0)
| ~ v10_lattices(X0) ),
inference(resolution,[],[f344,f369]) ).
fof(f369,plain,
! [X0] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f344,plain,
! [X0] :
( ~ v11_lattices(X0)
| sP0(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f181,f198]) ).
fof(f181,plain,
! [X0] :
( ( v8_lattices(X0)
& v4_lattices(X0)
& v10_lattices(X0)
& v6_lattices(X0)
& v9_lattices(X0)
& v5_lattices(X0)
& v12_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ( v8_lattices(X0)
& v4_lattices(X0)
& v10_lattices(X0)
& v6_lattices(X0)
& v9_lattices(X0)
& v5_lattices(X0)
& v12_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v8_lattices(X0)
& v4_lattices(X0)
& v10_lattices(X0)
& v6_lattices(X0)
& v9_lattices(X0)
& v5_lattices(X0)
& v12_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_lattices) ).
fof(f735,plain,
( l3_lattices(k23_filter_2(sK22,sF34))
| ~ v12_lattices(sK22)
| ~ v16_lattices(sK22)
| ~ v15_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f734,f425]) ).
fof(f734,plain,
( ~ v16_lattices(sK22)
| ~ l3_lattices(sK22)
| v3_struct_0(sK22)
| ~ v15_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v12_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| l3_lattices(k23_filter_2(sK22,sF34)) ),
inference(subsumption_resolution,[],[f733,f426]) ).
fof(f733,plain,
( ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v16_lattices(sK22)
| ~ v10_lattices(sK22)
| ~ l3_lattices(sK22)
| ~ v15_lattices(sK22)
| v3_struct_0(sK22)
| ~ v12_lattices(sK22)
| l3_lattices(k23_filter_2(sK22,sF34))
| ~ m1_subset_1(sK23,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f732,f428]) ).
fof(f428,plain,
r3_lattices(sK22,sK23,sK24),
inference(cnf_transformation,[],[f261]) ).
fof(f732,plain,
( ~ r3_lattices(sK22,sK23,sK24)
| ~ v15_lattices(sK22)
| ~ v10_lattices(sK22)
| ~ v16_lattices(sK22)
| ~ l3_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ v12_lattices(sK22)
| l3_lattices(k23_filter_2(sK22,sF34)) ),
inference(superposition,[],[f519,f515]) ).
fof(f519,plain,
! [X2,X0,X1] :
( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v16_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0) ),
inference(duplicate_literal_removal,[],[f368]) ).
fof(f368,plain,
! [X2,X0,X1] :
( ~ v12_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v16_lattices(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ! [X2] :
( ~ l3_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
| ~ v16_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v12_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
| ~ r3_lattices(X0,X1,X2)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v12_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r3_lattices(X0,X1,X2)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& v12_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
=> ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
& v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_filter_2) ).
fof(f974,plain,
( ~ l3_lattices(sF35)
| ~ v10_lattices(sF35)
| v3_struct_0(sF35) ),
inference(resolution,[],[f971,f517]) ).
fof(f517,plain,
( ~ v17_lattices(sF35)
| ~ l3_lattices(sF35)
| ~ v10_lattices(sF35)
| v3_struct_0(sF35) ),
inference(definition_folding,[],[f429,f516,f515,f516,f515,f516,f515,f516,f515]) ).
fof(f429,plain,
( ~ v10_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| v3_struct_0(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ l3_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v17_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24))) ),
inference(cnf_transformation,[],[f261]) ).
fof(f971,plain,
v17_lattices(sF35),
inference(subsumption_resolution,[],[f970,f425]) ).
fof(f970,plain,
( ~ l3_lattices(sK22)
| v17_lattices(sF35) ),
inference(subsumption_resolution,[],[f969,f432]) ).
fof(f969,plain,
( v17_lattices(sF35)
| ~ v17_lattices(sK22)
| ~ l3_lattices(sK22) ),
inference(subsumption_resolution,[],[f966,f435]) ).
fof(f966,plain,
( v3_struct_0(sK22)
| ~ v17_lattices(sK22)
| ~ l3_lattices(sK22)
| v17_lattices(sF35) ),
inference(resolution,[],[f964,f370]) ).
fof(f964,plain,
( ~ v15_lattices(sK22)
| v17_lattices(sF35) ),
inference(subsumption_resolution,[],[f963,f435]) ).
fof(f963,plain,
( v3_struct_0(sK22)
| ~ v15_lattices(sK22)
| v17_lattices(sF35) ),
inference(subsumption_resolution,[],[f962,f425]) ).
fof(f962,plain,
( ~ v15_lattices(sK22)
| ~ l3_lattices(sK22)
| v17_lattices(sF35)
| v3_struct_0(sK22) ),
inference(subsumption_resolution,[],[f961,f432]) ).
fof(f961,plain,
( ~ v17_lattices(sK22)
| v3_struct_0(sK22)
| ~ v15_lattices(sK22)
| ~ l3_lattices(sK22)
| v17_lattices(sF35) ),
inference(resolution,[],[f935,f369]) ).
fof(f935,plain,
( ~ v11_lattices(sK22)
| v17_lattices(sF35)
| ~ v15_lattices(sK22) ),
inference(resolution,[],[f926,f837]) ).
fof(f837,plain,
( v11_lattices(sF35)
| ~ v11_lattices(sK22) ),
inference(subsumption_resolution,[],[f825,f706]) ).
fof(f825,plain,
( v1_xboole_0(sF34)
| v11_lattices(sF35)
| ~ v11_lattices(sK22) ),
inference(resolution,[],[f824,f688]) ).
fof(f688,plain,
( ~ m2_lattice4(sF34,sK22)
| v11_lattices(sF35)
| v1_xboole_0(sF34)
| ~ v11_lattices(sK22) ),
inference(subsumption_resolution,[],[f687,f425]) ).
fof(f687,plain,
( v11_lattices(sF35)
| v1_xboole_0(sF34)
| ~ m2_lattice4(sF34,sK22)
| ~ l3_lattices(sK22)
| ~ v11_lattices(sK22) ),
inference(subsumption_resolution,[],[f686,f435]) ).
fof(f686,plain,
( v11_lattices(sF35)
| v3_struct_0(sK22)
| v1_xboole_0(sF34)
| ~ m2_lattice4(sF34,sK22)
| ~ v11_lattices(sK22)
| ~ l3_lattices(sK22) ),
inference(subsumption_resolution,[],[f685,f426]) ).
fof(f685,plain,
( v1_xboole_0(sF34)
| ~ v11_lattices(sK22)
| v11_lattices(sF35)
| ~ v10_lattices(sK22)
| v3_struct_0(sK22)
| ~ m2_lattice4(sF34,sK22)
| ~ l3_lattices(sK22) ),
inference(superposition,[],[f392,f516]) ).
fof(f392,plain,
! [X0,X1] :
( v11_lattices(k23_filter_2(X0,X1))
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v11_lattices(k23_filter_2(X0,X1))
| ~ v11_lattices(X0) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( v11_lattices(k23_filter_2(X0,X1))
| ~ v11_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
=> ( v11_lattices(X0)
=> v11_lattices(k23_filter_2(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_filter_2) ).
fof(f926,plain,
( ~ v11_lattices(sF35)
| ~ v15_lattices(sK22)
| v17_lattices(sF35) ),
inference(subsumption_resolution,[],[f925,f435]) ).
fof(f925,plain,
( ~ v11_lattices(sF35)
| v17_lattices(sF35)
| v3_struct_0(sK22)
| ~ v15_lattices(sK22) ),
inference(subsumption_resolution,[],[f924,f425]) ).
fof(f924,plain,
( ~ v11_lattices(sF35)
| ~ l3_lattices(sK22)
| v3_struct_0(sK22)
| ~ v15_lattices(sK22)
| v17_lattices(sF35) ),
inference(subsumption_resolution,[],[f923,f432]) ).
fof(f923,plain,
( ~ v17_lattices(sK22)
| v17_lattices(sF35)
| ~ v11_lattices(sF35)
| ~ v15_lattices(sK22)
| ~ l3_lattices(sK22)
| v3_struct_0(sK22) ),
inference(resolution,[],[f800,f371]) ).
fof(f800,plain,
( ~ v16_lattices(sK22)
| v17_lattices(sF35)
| ~ v11_lattices(sF35)
| ~ v15_lattices(sK22) ),
inference(subsumption_resolution,[],[f799,f764]) ).
fof(f764,plain,
( ~ v3_struct_0(sF35)
| ~ v16_lattices(sK22)
| ~ v15_lattices(sK22) ),
inference(subsumption_resolution,[],[f763,f513]) ).
fof(f763,plain,
( ~ v16_lattices(sK22)
| ~ m1_subset_1(sK23,sF33)
| ~ v15_lattices(sK22)
| ~ v3_struct_0(sF35) ),
inference(forward_demodulation,[],[f762,f512]) ).
fof(f762,plain,
( ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v3_struct_0(sF35)
| ~ v15_lattices(sK22)
| ~ v16_lattices(sK22) ),
inference(subsumption_resolution,[],[f761,f514]) ).
fof(f761,plain,
( ~ v3_struct_0(sF35)
| ~ v15_lattices(sK22)
| ~ m1_subset_1(sK24,sF33)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v16_lattices(sK22) ),
inference(forward_demodulation,[],[f760,f512]) ).
fof(f760,plain,
( ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v3_struct_0(sF35)
| ~ v16_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v15_lattices(sK22) ),
inference(forward_demodulation,[],[f759,f516]) ).
fof(f759,plain,
( ~ v16_lattices(sK22)
| ~ v15_lattices(sK22)
| ~ v3_struct_0(k23_filter_2(sK22,sF34))
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ m1_subset_1(sK24,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f758,f426]) ).
fof(f758,plain,
( ~ v16_lattices(sK22)
| ~ v3_struct_0(k23_filter_2(sK22,sF34))
| ~ v10_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v15_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f757,f637]) ).
fof(f757,plain,
( ~ v3_struct_0(k23_filter_2(sK22,sF34))
| ~ v16_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v12_lattices(sK22)
| ~ v10_lattices(sK22)
| ~ v15_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f756,f425]) ).
fof(f756,plain,
( ~ l3_lattices(sK22)
| ~ v10_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v3_struct_0(k23_filter_2(sK22,sF34))
| ~ v12_lattices(sK22)
| ~ v16_lattices(sK22)
| ~ v15_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f755,f435]) ).
fof(f755,plain,
( ~ m1_subset_1(sK23,u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v12_lattices(sK22)
| ~ l3_lattices(sK22)
| ~ v16_lattices(sK22)
| ~ v10_lattices(sK22)
| ~ v3_struct_0(k23_filter_2(sK22,sF34))
| ~ v15_lattices(sK22) ),
inference(subsumption_resolution,[],[f754,f428]) ).
fof(f754,plain,
( ~ r3_lattices(sK22,sK23,sK24)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ l3_lattices(sK22)
| ~ v10_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v3_struct_0(k23_filter_2(sK22,sF34))
| ~ v16_lattices(sK22)
| ~ v12_lattices(sK22)
| ~ v15_lattices(sK22)
| v3_struct_0(sK22) ),
inference(superposition,[],[f521,f515]) ).
fof(f521,plain,
! [X2,X0,X1] :
( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v12_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v16_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v15_lattices(X0) ),
inference(duplicate_literal_removal,[],[f367]) ).
fof(f367,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v12_lattices(X0)
| ~ l3_lattices(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f799,plain,
( ~ v16_lattices(sK22)
| ~ v11_lattices(sF35)
| v17_lattices(sF35)
| v3_struct_0(sF35)
| ~ v15_lattices(sK22) ),
inference(subsumption_resolution,[],[f798,f781]) ).
fof(f781,plain,
( v15_lattices(sF35)
| ~ v15_lattices(sK22) ),
inference(subsumption_resolution,[],[f780,f435]) ).
fof(f780,plain,
( v3_struct_0(sK22)
| ~ v15_lattices(sK22)
| v15_lattices(sF35) ),
inference(subsumption_resolution,[],[f779,f425]) ).
fof(f779,plain,
( ~ l3_lattices(sK22)
| v3_struct_0(sK22)
| ~ v15_lattices(sK22)
| v15_lattices(sF35) ),
inference(subsumption_resolution,[],[f778,f432]) ).
fof(f778,plain,
( v15_lattices(sF35)
| ~ v15_lattices(sK22)
| ~ v17_lattices(sK22)
| v3_struct_0(sK22)
| ~ l3_lattices(sK22) ),
inference(resolution,[],[f731,f371]) ).
fof(f731,plain,
( ~ v16_lattices(sK22)
| v15_lattices(sF35)
| ~ v15_lattices(sK22) ),
inference(forward_demodulation,[],[f730,f516]) ).
fof(f730,plain,
( ~ v15_lattices(sK22)
| v15_lattices(k23_filter_2(sK22,sF34))
| ~ v16_lattices(sK22) ),
inference(forward_demodulation,[],[f729,f515]) ).
fof(f729,plain,
( ~ v15_lattices(sK22)
| v15_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v16_lattices(sK22) ),
inference(subsumption_resolution,[],[f728,f513]) ).
fof(f728,plain,
( ~ m1_subset_1(sK23,sF33)
| ~ v15_lattices(sK22)
| v15_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v16_lattices(sK22) ),
inference(forward_demodulation,[],[f727,f512]) ).
fof(f727,plain,
( ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v16_lattices(sK22)
| v15_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v15_lattices(sK22) ),
inference(subsumption_resolution,[],[f726,f514]) ).
fof(f726,plain,
( ~ m1_subset_1(sK24,sF33)
| ~ v15_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v16_lattices(sK22)
| v15_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24))) ),
inference(forward_demodulation,[],[f725,f512]) ).
fof(f725,plain,
( ~ v15_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| v15_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v16_lattices(sK22) ),
inference(subsumption_resolution,[],[f724,f425]) ).
fof(f724,plain,
( ~ v15_lattices(sK22)
| v15_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v16_lattices(sK22)
| ~ l3_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ m1_subset_1(sK24,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f723,f637]) ).
fof(f723,plain,
( ~ v12_lattices(sK22)
| v15_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ l3_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v16_lattices(sK22)
| ~ v15_lattices(sK22) ),
inference(subsumption_resolution,[],[f722,f435]) ).
fof(f722,plain,
( v15_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v15_lattices(sK22)
| ~ v16_lattices(sK22)
| v3_struct_0(sK22)
| ~ v12_lattices(sK22)
| ~ l3_lattices(sK22) ),
inference(subsumption_resolution,[],[f721,f426]) ).
fof(f721,plain,
( ~ v10_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ v15_lattices(sK22)
| ~ v12_lattices(sK22)
| v15_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v16_lattices(sK22)
| ~ l3_lattices(sK22) ),
inference(resolution,[],[f518,f428]) ).
fof(f518,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ v12_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v16_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f366,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| ~ v10_lattices(X0)
| ~ v12_lattices(X0)
| v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v16_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f798,plain,
( ~ v11_lattices(sF35)
| ~ v15_lattices(sF35)
| ~ v15_lattices(sK22)
| v3_struct_0(sF35)
| ~ v16_lattices(sK22)
| v17_lattices(sF35) ),
inference(subsumption_resolution,[],[f797,f794]) ).
fof(f797,plain,
( v3_struct_0(sF35)
| v17_lattices(sF35)
| ~ v15_lattices(sK22)
| ~ v15_lattices(sF35)
| ~ l3_lattices(sF35)
| ~ v11_lattices(sF35)
| ~ v16_lattices(sK22) ),
inference(resolution,[],[f753,f455]) ).
fof(f455,plain,
! [X0] :
( ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v17_lattices(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| ~ v16_lattices(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ~ v3_struct_0(X0)
& v17_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f753,plain,
( v16_lattices(sF35)
| ~ v15_lattices(sK22)
| ~ v16_lattices(sK22) ),
inference(subsumption_resolution,[],[f752,f514]) ).
fof(f752,plain,
( ~ m1_subset_1(sK24,sF33)
| v16_lattices(sF35)
| ~ v15_lattices(sK22)
| ~ v16_lattices(sK22) ),
inference(forward_demodulation,[],[f751,f512]) ).
fof(f751,plain,
( ~ v16_lattices(sK22)
| ~ v15_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| v16_lattices(sF35) ),
inference(forward_demodulation,[],[f750,f516]) ).
fof(f750,plain,
( ~ v15_lattices(sK22)
| v16_lattices(k23_filter_2(sK22,sF34))
| ~ v16_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f749,f513]) ).
fof(f749,plain,
( v16_lattices(k23_filter_2(sK22,sF34))
| ~ v16_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ m1_subset_1(sK23,sF33)
| ~ v15_lattices(sK22) ),
inference(forward_demodulation,[],[f748,f512]) ).
fof(f748,plain,
( ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v16_lattices(sK22)
| v16_lattices(k23_filter_2(sK22,sF34))
| ~ v15_lattices(sK22) ),
inference(forward_demodulation,[],[f747,f515]) ).
fof(f747,plain,
( v16_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v15_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v16_lattices(sK22) ),
inference(subsumption_resolution,[],[f746,f425]) ).
fof(f746,plain,
( ~ v16_lattices(sK22)
| ~ v15_lattices(sK22)
| ~ l3_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| v16_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ m1_subset_1(sK23,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f745,f426]) ).
fof(f745,plain,
( ~ v10_lattices(sK22)
| ~ v15_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| v16_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v16_lattices(sK22)
| ~ l3_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f744,f435]) ).
fof(f744,plain,
( ~ v16_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v15_lattices(sK22)
| v3_struct_0(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ l3_lattices(sK22)
| v16_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v10_lattices(sK22) ),
inference(subsumption_resolution,[],[f743,f637]) ).
fof(f743,plain,
( ~ v12_lattices(sK22)
| ~ m1_subset_1(sK23,u1_struct_0(sK22))
| ~ l3_lattices(sK22)
| ~ v10_lattices(sK22)
| ~ m1_subset_1(sK24,u1_struct_0(sK22))
| ~ v16_lattices(sK22)
| v3_struct_0(sK22)
| v16_lattices(k23_filter_2(sK22,k22_filter_2(sK22,sK23,sK24)))
| ~ v15_lattices(sK22) ),
inference(resolution,[],[f520,f428]) ).
fof(f520,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v16_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v10_lattices(X0)
| ~ v12_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0) ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| v3_struct_0(X0)
| v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v12_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 01:17:09 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.16/0.39 % (22441)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.45 % (22441)Instruction limit reached!
% 0.16/0.45 % (22441)------------------------------
% 0.16/0.45 % (22441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.45 % (22441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.45 % (22441)Termination reason: Unknown
% 0.16/0.45 % (22441)Termination phase: Saturation
% 0.16/0.45
% 0.16/0.45 % (22441)Memory used [KB]: 2046
% 0.16/0.45 % (22441)Time elapsed: 0.065 s
% 0.16/0.45 % (22441)Instructions burned: 100 (million)
% 0.16/0.45 % (22441)------------------------------
% 0.16/0.45 % (22441)------------------------------
% 0.16/0.49 % (22448)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.49 % (22431)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.49 % (22434)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.50 % (22438)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.50 % (22427)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.51 % (22445)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.51 % (22452)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 0.16/0.51 % (22430)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.53 % (22443)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.53 % (22444)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.53 % (22442)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.53 % (22429)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.53 % (22430)Instruction limit reached!
% 0.16/0.53 % (22430)------------------------------
% 0.16/0.53 % (22430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (22430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (22430)Termination reason: Unknown
% 0.16/0.53 % (22430)Termination phase: shuffling
% 0.16/0.53
% 0.16/0.53 % (22430)Memory used [KB]: 1023
% 0.16/0.53 % (22430)Time elapsed: 0.004 s
% 0.16/0.53 % (22430)Instructions burned: 3 (million)
% 0.16/0.53 % (22430)------------------------------
% 0.16/0.53 % (22430)------------------------------
% 0.16/0.54 % (22428)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.54 % (22429)Instruction limit reached!
% 0.16/0.54 % (22429)------------------------------
% 0.16/0.54 % (22429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (22429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (22429)Termination reason: Unknown
% 0.16/0.54 % (22429)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (22429)Memory used [KB]: 5628
% 0.16/0.54 % (22429)Time elapsed: 0.150 s
% 0.16/0.54 % (22429)Instructions burned: 8 (million)
% 0.16/0.54 % (22429)------------------------------
% 0.16/0.54 % (22429)------------------------------
% 0.16/0.54 % (22451)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.54 % (22450)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.55 % (22437)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.55 % (22449)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.55 % (22436)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.55 % (22435)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.57 TRYING [1]
% 0.16/0.57 TRYING [2]
% 1.84/0.58 % (22425)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.84/0.58 % (22427)Instruction limit reached!
% 1.84/0.58 % (22427)------------------------------
% 1.84/0.58 % (22427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.58 % (22427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.58 % (22427)Termination reason: Unknown
% 1.84/0.58 % (22427)Termination phase: Saturation
% 1.84/0.58
% 1.84/0.58 % (22427)Memory used [KB]: 6268
% 1.84/0.58 % (22427)Time elapsed: 0.196 s
% 1.84/0.58 % (22427)Instructions burned: 48 (million)
% 1.84/0.58 % (22427)------------------------------
% 1.84/0.58 % (22427)------------------------------
% 1.84/0.59 % (22431)Instruction limit reached!
% 1.84/0.59 % (22431)------------------------------
% 1.84/0.59 % (22431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (22431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (22431)Termination reason: Unknown
% 1.84/0.59 % (22431)Termination phase: Saturation
% 1.84/0.59
% 1.84/0.59 % (22431)Memory used [KB]: 2174
% 1.84/0.59 % (22431)Time elapsed: 0.205 s
% 1.84/0.59 % (22431)Instructions burned: 51 (million)
% 1.84/0.59 % (22431)------------------------------
% 1.84/0.59 % (22431)------------------------------
% 1.84/0.59 % (22423)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.84/0.60 TRYING [3]
% 2.04/0.60 % (22437)First to succeed.
% 2.04/0.61 % (22439)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.04/0.62 % (22446)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.04/0.62 % (22428)Instruction limit reached!
% 2.04/0.62 % (22428)------------------------------
% 2.04/0.62 % (22428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62 % (22428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62 % (22428)Termination reason: Unknown
% 2.04/0.62 % (22428)Termination phase: Finite model building SAT solving
% 2.04/0.62
% 2.04/0.62 % (22428)Memory used [KB]: 7675
% 2.04/0.62 % (22428)Time elapsed: 0.218 s
% 2.04/0.62 % (22428)Instructions burned: 52 (million)
% 2.04/0.62 % (22428)------------------------------
% 2.04/0.62 % (22428)------------------------------
% 2.04/0.63 % (22437)Refutation found. Thanks to Tanya!
% 2.04/0.63 % SZS status Theorem for theBenchmark
% 2.04/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.63 % (22437)------------------------------
% 2.04/0.63 % (22437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.63 % (22437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.63 % (22437)Termination reason: Refutation
% 2.04/0.63
% 2.04/0.63 % (22437)Memory used [KB]: 1535
% 2.04/0.63 % (22437)Time elapsed: 0.217 s
% 2.04/0.63 % (22437)Instructions burned: 31 (million)
% 2.04/0.63 % (22437)------------------------------
% 2.04/0.63 % (22437)------------------------------
% 2.04/0.63 % (22421)Success in time 0.294 s
%------------------------------------------------------------------------------