TSTP Solution File: LAT319+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT319+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : Tue Apr 30 20:25:47 EDT 2024
% Result : Theorem 0.09s 0.34s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 28
% Syntax : Number of formulae : 142 ( 10 unt; 0 def)
% Number of atoms : 701 ( 5 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 882 ( 323 ~; 351 |; 169 &)
% ( 24 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 18 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 50 ( 46 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& l3_lattices(A) )
<=> ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v17_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& l3_lattices(A) )
<=> ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v17_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(A)
=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v17_lattices(A) )
=> ( ~ v3_struct_0(A)
& v11_lattices(A)
& v13_lattices(A)
& v14_lattices(A)
& v15_lattices(A)
& v16_lattices(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v11_lattices(A)
& v15_lattices(A)
& v16_lattices(A) )
=> ( ~ v3_struct_0(A)
& v17_lattices(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v10_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
? [A] :
( l3_lattices(A)
& ~ v3_struct_0(A)
& v3_lattices(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A)
& v10_lattices(A)
& v11_lattices(A)
& v12_lattices(A)
& v13_lattices(A)
& v14_lattices(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v15_lattices(A)
& v16_lattices(A)
& l3_lattices(A) )
<=> ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v15_lattices(k1_lattice2(A))
& v16_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v11_lattices(A)
& l3_lattices(A) )
<=> ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v11_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,plain,
? [A] :
( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& l3_lattices(A) )
<~> ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v17_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f80,plain,
! [A] :
( pd0_0(A)
<=> ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& l3_lattices(A) ) ),
introduced(predicate_definition,[f79]) ).
fof(f81,plain,
? [A] :
( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ( pd0_0(A)
<~> ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v17_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ),
inference(formula_renaming,[status(thm)],[f79,f80]) ).
fof(f82,plain,
? [A] :
( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ( pd0_0(A)
| ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v17_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) )
& ( ~ pd0_0(A)
| v3_struct_0(k1_lattice2(A))
| ~ v10_lattices(k1_lattice2(A))
| ~ v17_lattices(k1_lattice2(A))
| ~ l3_lattices(k1_lattice2(A)) ) ),
inference(NNF_transformation,[status(esa)],[f81]) ).
fof(f83,plain,
( ~ v3_struct_0(sk0_0)
& v10_lattices(sk0_0)
& l3_lattices(sk0_0)
& ( pd0_0(sk0_0)
| ( ~ v3_struct_0(k1_lattice2(sk0_0))
& v10_lattices(k1_lattice2(sk0_0))
& v17_lattices(k1_lattice2(sk0_0))
& l3_lattices(k1_lattice2(sk0_0)) ) )
& ( ~ pd0_0(sk0_0)
| v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| ~ v17_lattices(k1_lattice2(sk0_0))
| ~ l3_lattices(k1_lattice2(sk0_0)) ) ),
inference(skolemization,[status(esa)],[f82]) ).
fof(f84,plain,
~ v3_struct_0(sk0_0),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f85,plain,
v10_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f86,plain,
l3_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f89,plain,
( pd0_0(sk0_0)
| v17_lattices(k1_lattice2(sk0_0)) ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f91,plain,
( ~ pd0_0(sk0_0)
| v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| ~ v17_lattices(k1_lattice2(sk0_0))
| ~ l3_lattices(k1_lattice2(sk0_0)) ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f92,plain,
! [A] :
( ~ l3_lattices(A)
| ~ v3_lattices(A)
| A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f93,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f123,plain,
! [A] :
( ~ l3_lattices(A)
| v3_struct_0(A)
| ~ v17_lattices(A)
| ( ~ v3_struct_0(A)
& v11_lattices(A)
& v13_lattices(A)
& v14_lattices(A)
& v15_lattices(A)
& v16_lattices(A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f125,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f128,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f129,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| v16_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f130,plain,
! [A] :
( ~ l3_lattices(A)
| v3_struct_0(A)
| ~ v11_lattices(A)
| ~ v15_lattices(A)
| ~ v16_lattices(A)
| ( ~ v3_struct_0(A)
& v17_lattices(A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f132,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| v17_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f154,plain,
! [A] :
( ~ l3_lattices(A)
| ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f156,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f188,plain,
! [A] :
( v3_struct_0(A)
| ~ l3_lattices(A)
| ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f39]) ).
fof(f189,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f224,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v10_lattices(k1_lattice2(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f49]) ).
fof(f233,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f238,plain,
( l3_lattices(sk0_8)
& ~ v3_struct_0(sk0_8)
& v3_lattices(sk0_8)
& v4_lattices(sk0_8)
& v5_lattices(sk0_8)
& v6_lattices(sk0_8)
& v7_lattices(sk0_8)
& v8_lattices(sk0_8)
& v9_lattices(sk0_8)
& v10_lattices(sk0_8)
& v11_lattices(sk0_8)
& v12_lattices(sk0_8)
& v13_lattices(sk0_8)
& v14_lattices(sk0_8) ),
inference(skolemization,[status(esa)],[f51]) ).
fof(f239,plain,
l3_lattices(sk0_8),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f241,plain,
v3_lattices(sk0_8),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f363,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v15_lattices(A)
& v16_lattices(A)
& l3_lattices(A) )
<=> ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v15_lattices(k1_lattice2(A))
& v16_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f73]) ).
fof(f364,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ( ( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v15_lattices(A)
| ~ v16_lattices(A)
| ~ l3_lattices(A)
| ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v15_lattices(k1_lattice2(A))
& v16_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) )
& ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v15_lattices(A)
& v16_lattices(A)
& l3_lattices(A) )
| v3_struct_0(k1_lattice2(A))
| ~ v10_lattices(k1_lattice2(A))
| ~ v15_lattices(k1_lattice2(A))
| ~ v16_lattices(k1_lattice2(A))
| ~ l3_lattices(k1_lattice2(A)) ) ) ),
inference(NNF_transformation,[status(esa)],[f363]) ).
fof(f367,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| v15_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f364]) ).
fof(f368,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| v16_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f364]) ).
fof(f372,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v15_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f364]) ).
fof(f373,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v16_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f364]) ).
fof(f378,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v11_lattices(A)
& l3_lattices(A) )
<=> ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v11_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f75]) ).
fof(f379,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ l3_lattices(A)
| ( ( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v11_lattices(A)
| ~ l3_lattices(A)
| ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v11_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) )
& ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v11_lattices(A)
& l3_lattices(A) )
| v3_struct_0(k1_lattice2(A))
| ~ v10_lattices(k1_lattice2(A))
| ~ v11_lattices(k1_lattice2(A))
| ~ l3_lattices(k1_lattice2(A)) ) ) ),
inference(NNF_transformation,[status(esa)],[f378]) ).
fof(f382,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| v11_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f379]) ).
fof(f386,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v11_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f379]) ).
fof(f396,plain,
! [A] :
( ( ~ pd0_0(A)
| ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& l3_lattices(A) ) )
& ( pd0_0(A)
| v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| ~ l3_lattices(A) ) ),
inference(NNF_transformation,[status(esa)],[f80]) ).
fof(f397,plain,
( ! [A] :
( ~ pd0_0(A)
| ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& l3_lattices(A) ) )
& ! [A] :
( pd0_0(A)
| v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| ~ l3_lattices(A) ) ),
inference(miniscoping,[status(esa)],[f396]) ).
fof(f400,plain,
! [X0] :
( ~ pd0_0(X0)
| v17_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f402,plain,
! [X0] :
( pd0_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f403,plain,
( spl0_0
<=> pd0_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f405,plain,
( ~ pd0_0(sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( spl0_1
<=> v3_struct_0(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f410,plain,
( spl0_2
<=> v10_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f412,plain,
( ~ v10_lattices(k1_lattice2(sk0_0))
| spl0_2 ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f414,plain,
( spl0_3
<=> v17_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f416,plain,
( ~ v17_lattices(k1_lattice2(sk0_0))
| spl0_3 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( spl0_0
| spl0_3 ),
inference(split_clause,[status(thm)],[f89,f403,f414]) ).
fof(f418,plain,
( spl0_4
<=> l3_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f420,plain,
( ~ l3_lattices(k1_lattice2(sk0_0))
| spl0_4 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f422,plain,
( ~ spl0_0
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f91,f403,f406,f410,f414,f418]) ).
fof(f426,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| v15_lattices(k1_lattice2(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f367]) ).
fof(f427,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| v16_lattices(k1_lattice2(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f368]) ).
fof(f429,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v15_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f372,f189]) ).
fof(f430,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v16_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f373,f189]) ).
fof(f433,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| v11_lattices(k1_lattice2(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f382]) ).
fof(f435,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v11_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f189]) ).
fof(f437,plain,
( spl0_5
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f438,plain,
( v3_struct_0(sk0_0)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( spl0_6
<=> l3_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( ~ l3_lattices(sk0_0)
| spl0_6 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( v3_struct_0(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f189,f407]) ).
fof(f444,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f443,f437,f440,f406]) ).
fof(f445,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f442,f86]) ).
fof(f446,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f445]) ).
fof(f447,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f84]) ).
fof(f448,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( spl0_7
<=> l3_lattices(sk0_8) ),
introduced(split_symbol_definition) ).
fof(f452,plain,
( ~ l3_lattices(sk0_8)
| spl0_7 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( spl0_8
<=> sk0_8 = g3_lattices(u1_struct_0(sk0_8),u2_lattices(sk0_8),u1_lattices(sk0_8)) ),
introduced(split_symbol_definition) ).
fof(f456,plain,
( ~ l3_lattices(sk0_8)
| sk0_8 = g3_lattices(u1_struct_0(sk0_8),u2_lattices(sk0_8),u1_lattices(sk0_8)) ),
inference(resolution,[status(thm)],[f93,f241]) ).
fof(f457,plain,
( ~ spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f456,f450,f453]) ).
fof(f458,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f452,f239]) ).
fof(f459,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f458]) ).
fof(f462,plain,
( spl0_9
<=> v10_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f464,plain,
( ~ v10_lattices(sk0_0)
| spl0_9 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| spl0_2 ),
inference(resolution,[status(thm)],[f233,f412]) ).
fof(f466,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| spl0_2 ),
inference(split_clause,[status(thm)],[f465,f437,f462,f440,f410]) ).
fof(f467,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f464,f85]) ).
fof(f468,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( spl0_10
<=> v11_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( ~ v11_lattices(k1_lattice2(sk0_0))
| spl0_10 ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( spl0_11
<=> v15_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( ~ v15_lattices(k1_lattice2(sk0_0))
| spl0_11 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( spl0_12
<=> v16_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f477,plain,
( ~ v16_lattices(k1_lattice2(sk0_0))
| spl0_12 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( ~ l3_lattices(k1_lattice2(sk0_0))
| v3_struct_0(k1_lattice2(sk0_0))
| ~ v11_lattices(k1_lattice2(sk0_0))
| ~ v15_lattices(k1_lattice2(sk0_0))
| ~ v16_lattices(k1_lattice2(sk0_0))
| spl0_3 ),
inference(resolution,[status(thm)],[f416,f132]) ).
fof(f479,plain,
( ~ spl0_4
| spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_3 ),
inference(split_clause,[status(thm)],[f478,f418,f406,f469,f472,f475,f414]) ).
fof(f481,plain,
( ~ l3_lattices(sk0_0)
| spl0_4 ),
inference(resolution,[status(thm)],[f420,f156]) ).
fof(f482,plain,
( ~ spl0_6
| spl0_4 ),
inference(split_clause,[status(thm)],[f481,f440,f418]) ).
fof(f484,plain,
( spl0_13
<=> v17_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f486,plain,
( ~ v17_lattices(sk0_0)
| spl0_13 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ v17_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| spl0_0 ),
inference(resolution,[status(thm)],[f405,f402]) ).
fof(f488,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_6
| spl0_0 ),
inference(split_clause,[status(thm)],[f487,f437,f462,f484,f440,f403]) ).
fof(f489,plain,
( spl0_14
<=> v11_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f491,plain,
( ~ v11_lattices(sk0_0)
| spl0_14 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( spl0_15
<=> v15_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( ~ v15_lattices(sk0_0)
| spl0_15 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( spl0_16
<=> v16_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( ~ v16_lattices(sk0_0)
| spl0_16 ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( ~ l3_lattices(sk0_0)
| v3_struct_0(sk0_0)
| ~ v11_lattices(sk0_0)
| ~ v15_lattices(sk0_0)
| ~ v16_lattices(sk0_0)
| spl0_13 ),
inference(resolution,[status(thm)],[f486,f132]) ).
fof(f499,plain,
( ~ spl0_6
| spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_13 ),
inference(split_clause,[status(thm)],[f498,f440,f437,f489,f492,f495,f484]) ).
fof(f500,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ v10_lattices(k1_lattice2(sk0_0))
| ~ v15_lattices(k1_lattice2(sk0_0))
| ~ v16_lattices(k1_lattice2(sk0_0))
| ~ l3_lattices(k1_lattice2(sk0_0))
| spl0_16 ),
inference(resolution,[status(thm)],[f497,f430]) ).
fof(f501,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_4
| spl0_16 ),
inference(split_clause,[status(thm)],[f500,f437,f462,f440,f410,f472,f475,f418,f495]) ).
fof(f502,plain,
( ~ l3_lattices(sk0_0)
| v3_struct_0(sk0_0)
| ~ v17_lattices(sk0_0)
| spl0_16 ),
inference(resolution,[status(thm)],[f497,f129]) ).
fof(f503,plain,
( ~ spl0_6
| spl0_5
| ~ spl0_13
| spl0_16 ),
inference(split_clause,[status(thm)],[f502,f440,f437,f484,f495]) ).
fof(f512,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ v10_lattices(k1_lattice2(sk0_0))
| ~ v15_lattices(k1_lattice2(sk0_0))
| ~ v16_lattices(k1_lattice2(sk0_0))
| ~ l3_lattices(k1_lattice2(sk0_0))
| spl0_15 ),
inference(resolution,[status(thm)],[f494,f429]) ).
fof(f513,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_4
| spl0_15 ),
inference(split_clause,[status(thm)],[f512,f437,f462,f440,f410,f472,f475,f418,f492]) ).
fof(f514,plain,
( ~ l3_lattices(sk0_0)
| v3_struct_0(sk0_0)
| ~ v17_lattices(sk0_0)
| spl0_15 ),
inference(resolution,[status(thm)],[f494,f128]) ).
fof(f515,plain,
( ~ spl0_6
| spl0_5
| ~ spl0_13
| spl0_15 ),
inference(split_clause,[status(thm)],[f514,f440,f437,f484,f492]) ).
fof(f516,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ v10_lattices(k1_lattice2(sk0_0))
| ~ v11_lattices(k1_lattice2(sk0_0))
| ~ l3_lattices(k1_lattice2(sk0_0))
| spl0_14 ),
inference(resolution,[status(thm)],[f491,f435]) ).
fof(f517,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| ~ spl0_2
| ~ spl0_10
| ~ spl0_4
| spl0_14 ),
inference(split_clause,[status(thm)],[f516,f437,f462,f440,f410,f469,f418,f489]) ).
fof(f518,plain,
( ~ l3_lattices(sk0_0)
| v3_struct_0(sk0_0)
| ~ v17_lattices(sk0_0)
| spl0_14 ),
inference(resolution,[status(thm)],[f491,f125]) ).
fof(f519,plain,
( ~ spl0_6
| spl0_5
| ~ spl0_13
| spl0_14 ),
inference(split_clause,[status(thm)],[f518,f440,f437,f484,f489]) ).
fof(f534,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ v11_lattices(sk0_0)
| spl0_10 ),
inference(resolution,[status(thm)],[f471,f433]) ).
fof(f535,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| ~ spl0_14
| spl0_10 ),
inference(split_clause,[status(thm)],[f534,f437,f462,f440,f489,f469]) ).
fof(f547,plain,
( ~ l3_lattices(k1_lattice2(sk0_0))
| v3_struct_0(k1_lattice2(sk0_0))
| ~ v17_lattices(k1_lattice2(sk0_0))
| spl0_10 ),
inference(resolution,[status(thm)],[f471,f125]) ).
fof(f548,plain,
( ~ spl0_4
| spl0_1
| ~ spl0_3
| spl0_10 ),
inference(split_clause,[status(thm)],[f547,f418,f406,f414,f469]) ).
fof(f553,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ v15_lattices(sk0_0)
| ~ v16_lattices(sk0_0)
| spl0_11 ),
inference(resolution,[status(thm)],[f474,f426]) ).
fof(f554,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| spl0_11 ),
inference(split_clause,[status(thm)],[f553,f437,f462,f440,f492,f495,f472]) ).
fof(f571,plain,
( ~ l3_lattices(k1_lattice2(sk0_0))
| v3_struct_0(k1_lattice2(sk0_0))
| ~ v17_lattices(k1_lattice2(sk0_0))
| spl0_11 ),
inference(resolution,[status(thm)],[f474,f128]) ).
fof(f572,plain,
( ~ spl0_4
| spl0_1
| ~ spl0_3
| spl0_11 ),
inference(split_clause,[status(thm)],[f571,f418,f406,f414,f472]) ).
fof(f573,plain,
( ~ pd0_0(sk0_0)
| spl0_13 ),
inference(resolution,[status(thm)],[f486,f400]) ).
fof(f574,plain,
( ~ spl0_0
| spl0_13 ),
inference(split_clause,[status(thm)],[f573,f403,f484]) ).
fof(f578,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ v15_lattices(sk0_0)
| ~ v16_lattices(sk0_0)
| spl0_12 ),
inference(resolution,[status(thm)],[f477,f427]) ).
fof(f579,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| spl0_12 ),
inference(split_clause,[status(thm)],[f578,f437,f462,f440,f492,f495,f475]) ).
fof(f582,plain,
( ~ l3_lattices(k1_lattice2(sk0_0))
| v3_struct_0(k1_lattice2(sk0_0))
| ~ v17_lattices(k1_lattice2(sk0_0))
| spl0_12 ),
inference(resolution,[status(thm)],[f477,f129]) ).
fof(f583,plain,
( ~ spl0_4
| spl0_1
| ~ spl0_3
| spl0_12 ),
inference(split_clause,[status(thm)],[f582,f418,f406,f414,f475]) ).
fof(f584,plain,
$false,
inference(sat_refutation,[status(thm)],[f417,f422,f444,f446,f448,f457,f459,f466,f468,f479,f482,f488,f499,f501,f503,f513,f515,f517,f519,f535,f548,f554,f572,f574,f579,f583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : LAT319+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n009.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 19:55:56 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.32 % Drodi V3.6.0
% 0.09/0.34 % Refutation found
% 0.09/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.37 % Elapsed time: 0.038007 seconds
% 0.09/0.37 % CPU time: 0.186360 seconds
% 0.09/0.37 % Total memory used: 48.044 MB
% 0.09/0.37 % Net memory used: 47.971 MB
%------------------------------------------------------------------------------