TSTP Solution File: LAT319+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n027.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 May 31 12:17:30 EDT 2023
% Result : Theorem 0.15s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 70
% Syntax : Number of formulae : 283 ( 16 unt; 0 def)
% Number of atoms : 1099 ( 7 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 1249 ( 433 ~; 547 |; 186 &)
% ( 64 <=>; 17 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 77 ( 75 usr; 58 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 70 (; 66 !; 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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) )
=> ( ~ v3_struct_0(A)
& v15_lattices(A) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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(f98,plain,
! [A] :
( ~ l3_lattices(A)
| v3_struct_0(A)
| ~ v10_lattices(A)
| ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f100,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f101,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v5_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f102,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f103,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v7_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f104,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v8_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f105,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v9_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f116,plain,
! [A] :
( ~ l3_lattices(A)
| v3_struct_0(A)
| ~ v13_lattices(A)
| ~ v14_lattices(A)
| ( ~ v3_struct_0(A)
& v15_lattices(A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f118,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ v14_lattices(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
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(f126,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| v13_lattices(X0) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f127,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| v14_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(f190,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| v3_lattices(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(f227,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v4_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f228,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v5_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f229,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v6_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f230,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v7_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f231,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v8_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f224]) ).
fof(f232,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v9_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[status(esa)],[f224]) ).
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(f240,plain,
~ v3_struct_0(sk0_8),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f241,plain,
v3_lattices(sk0_8),
inference(cnf_transformation,[status(esa)],[f238]) ).
fof(f248,plain,
v10_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(f404,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(f414,plain,
( spl0_3
<=> v17_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f415,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(f425,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(f426,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(f430,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(f434,plain,
( v17_lattices(sk0_0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f400,f404]) ).
fof(f439,plain,
( spl0_5
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f440,plain,
( v3_struct_0(sk0_0)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( spl0_6
<=> l3_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f444,plain,
( ~ l3_lattices(sk0_0)
| spl0_6 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( v3_struct_0(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f189,f407]) ).
fof(f446,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f445,f439,f442,f406]) ).
fof(f447,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f86]) ).
fof(f448,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f449,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f440,f84]) ).
fof(f450,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f449]) ).
fof(f453,plain,
( spl0_7
<=> l3_lattices(sk0_8) ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( ~ l3_lattices(sk0_8)
| spl0_7 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,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(f459,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(f460,plain,
( ~ spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f459,f453,f456]) ).
fof(f461,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f455,f239]) ).
fof(f462,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( spl0_9
<=> v10_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f466,plain,
( ~ v10_lattices(sk0_0)
| spl0_9 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f486,plain,
( spl0_15
<=> v3_struct_0(sk0_8) ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( v3_struct_0(sk0_8)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_16
<=> v10_lattices(sk0_8) ),
introduced(split_symbol_definition) ).
fof(f491,plain,
( ~ v10_lattices(sk0_8)
| spl0_16 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f531,plain,
( spl0_28
<=> v10_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f544,plain,
( spl0_31
<=> v17_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f547,plain,
( pd0_0(sk0_0)
| v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ v17_lattices(sk0_0) ),
inference(resolution,[status(thm)],[f402,f86]) ).
fof(f548,plain,
( spl0_0
| spl0_5
| ~ spl0_9
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f547,f403,f439,f464,f544]) ).
fof(f551,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f466,f85]) ).
fof(f552,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f553,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f491,f248]) ).
fof(f554,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f553]) ).
fof(f555,plain,
l3_lattices(k1_lattice2(sk0_0)),
inference(resolution,[status(thm)],[f156,f86]) ).
fof(f556,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f240]) ).
fof(f557,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f556]) ).
fof(f573,plain,
( spl0_35
<=> v10_lattices(k1_lattice2(sk0_8)) ),
introduced(split_symbol_definition) ).
fof(f576,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v10_lattices(k1_lattice2(sk0_8)) ),
inference(resolution,[status(thm)],[f233,f239]) ).
fof(f577,plain,
( spl0_15
| ~ spl0_16
| spl0_35 ),
inference(split_clause,[status(thm)],[f576,f486,f489,f573]) ).
fof(f583,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| v10_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f233,f86]) ).
fof(f584,plain,
( spl0_5
| ~ spl0_9
| spl0_2 ),
inference(split_clause,[status(thm)],[f583,f439,f464,f410]) ).
fof(f585,plain,
( spl0_37
<=> v3_lattices(k1_lattice2(sk0_8)) ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( v3_struct_0(sk0_8)
| v3_lattices(k1_lattice2(sk0_8)) ),
inference(resolution,[status(thm)],[f190,f239]) ).
fof(f589,plain,
( spl0_15
| spl0_37 ),
inference(split_clause,[status(thm)],[f588,f486,f585]) ).
fof(f595,plain,
( spl0_39
<=> v3_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f596,plain,
( v3_lattices(k1_lattice2(sk0_0))
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( v3_struct_0(sk0_0)
| v3_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f190,f86]) ).
fof(f599,plain,
( spl0_5
| spl0_39 ),
inference(split_clause,[status(thm)],[f598,f439,f595]) ).
fof(f601,plain,
( spl0_40
<=> v4_lattices(sk0_8) ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v4_lattices(sk0_8) ),
inference(resolution,[status(thm)],[f100,f239]) ).
fof(f605,plain,
( spl0_15
| ~ spl0_16
| spl0_40 ),
inference(split_clause,[status(thm)],[f604,f486,f489,f601]) ).
fof(f611,plain,
( spl0_42
<=> v4_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f614,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| v4_lattices(sk0_0) ),
inference(resolution,[status(thm)],[f100,f86]) ).
fof(f615,plain,
( spl0_5
| ~ spl0_9
| spl0_42 ),
inference(split_clause,[status(thm)],[f614,f439,f464,f611]) ).
fof(f616,plain,
( spl0_43
<=> v5_lattices(sk0_8) ),
introduced(split_symbol_definition) ).
fof(f619,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v5_lattices(sk0_8) ),
inference(resolution,[status(thm)],[f101,f239]) ).
fof(f620,plain,
( spl0_15
| ~ spl0_16
| spl0_43 ),
inference(split_clause,[status(thm)],[f619,f486,f489,f616]) ).
fof(f626,plain,
( spl0_45
<=> v5_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f629,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| v5_lattices(sk0_0) ),
inference(resolution,[status(thm)],[f101,f86]) ).
fof(f630,plain,
( spl0_5
| ~ spl0_9
| spl0_45 ),
inference(split_clause,[status(thm)],[f629,f439,f464,f626]) ).
fof(f631,plain,
( spl0_46
<=> v6_lattices(sk0_8) ),
introduced(split_symbol_definition) ).
fof(f634,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v6_lattices(sk0_8) ),
inference(resolution,[status(thm)],[f102,f239]) ).
fof(f635,plain,
( spl0_15
| ~ spl0_16
| spl0_46 ),
inference(split_clause,[status(thm)],[f634,f486,f489,f631]) ).
fof(f641,plain,
( spl0_48
<=> v6_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f644,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| v6_lattices(sk0_0) ),
inference(resolution,[status(thm)],[f102,f86]) ).
fof(f645,plain,
( spl0_5
| ~ spl0_9
| spl0_48 ),
inference(split_clause,[status(thm)],[f644,f439,f464,f641]) ).
fof(f646,plain,
( spl0_49
<=> v7_lattices(sk0_8) ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v7_lattices(sk0_8) ),
inference(resolution,[status(thm)],[f103,f239]) ).
fof(f650,plain,
( spl0_15
| ~ spl0_16
| spl0_49 ),
inference(split_clause,[status(thm)],[f649,f486,f489,f646]) ).
fof(f656,plain,
( spl0_51
<=> v7_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f659,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| v7_lattices(sk0_0) ),
inference(resolution,[status(thm)],[f103,f86]) ).
fof(f660,plain,
( spl0_5
| ~ spl0_9
| spl0_51 ),
inference(split_clause,[status(thm)],[f659,f439,f464,f656]) ).
fof(f661,plain,
( spl0_52
<=> v8_lattices(sk0_8) ),
introduced(split_symbol_definition) ).
fof(f664,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v8_lattices(sk0_8) ),
inference(resolution,[status(thm)],[f104,f239]) ).
fof(f665,plain,
( spl0_15
| ~ spl0_16
| spl0_52 ),
inference(split_clause,[status(thm)],[f664,f486,f489,f661]) ).
fof(f671,plain,
( spl0_54
<=> v8_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f674,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| v8_lattices(sk0_0) ),
inference(resolution,[status(thm)],[f104,f86]) ).
fof(f675,plain,
( spl0_5
| ~ spl0_9
| spl0_54 ),
inference(split_clause,[status(thm)],[f674,f439,f464,f671]) ).
fof(f676,plain,
( spl0_55
<=> v9_lattices(sk0_8) ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v9_lattices(sk0_8) ),
inference(resolution,[status(thm)],[f105,f239]) ).
fof(f680,plain,
( spl0_15
| ~ spl0_16
| spl0_55 ),
inference(split_clause,[status(thm)],[f679,f486,f489,f676]) ).
fof(f686,plain,
( spl0_57
<=> v9_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f689,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| v9_lattices(sk0_0) ),
inference(resolution,[status(thm)],[f105,f86]) ).
fof(f690,plain,
( spl0_5
| ~ spl0_9
| spl0_57 ),
inference(split_clause,[status(thm)],[f689,f439,f464,f686]) ).
fof(f759,plain,
( spl0_70
<=> v4_lattices(k1_lattice2(sk0_8)) ),
introduced(split_symbol_definition) ).
fof(f762,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v4_lattices(k1_lattice2(sk0_8)) ),
inference(resolution,[status(thm)],[f227,f239]) ).
fof(f763,plain,
( spl0_15
| ~ spl0_16
| spl0_70 ),
inference(split_clause,[status(thm)],[f762,f486,f489,f759]) ).
fof(f769,plain,
( spl0_72
<=> v4_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f774,plain,
( spl0_73
<=> v5_lattices(k1_lattice2(sk0_8)) ),
introduced(split_symbol_definition) ).
fof(f777,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v5_lattices(k1_lattice2(sk0_8)) ),
inference(resolution,[status(thm)],[f228,f239]) ).
fof(f778,plain,
( spl0_15
| ~ spl0_16
| spl0_73 ),
inference(split_clause,[status(thm)],[f777,f486,f489,f774]) ).
fof(f784,plain,
( spl0_75
<=> v5_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f789,plain,
( spl0_76
<=> v6_lattices(k1_lattice2(sk0_8)) ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v6_lattices(k1_lattice2(sk0_8)) ),
inference(resolution,[status(thm)],[f229,f239]) ).
fof(f793,plain,
( spl0_15
| ~ spl0_16
| spl0_76 ),
inference(split_clause,[status(thm)],[f792,f486,f489,f789]) ).
fof(f799,plain,
( spl0_78
<=> v6_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f804,plain,
( spl0_79
<=> v7_lattices(k1_lattice2(sk0_8)) ),
introduced(split_symbol_definition) ).
fof(f807,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v7_lattices(k1_lattice2(sk0_8)) ),
inference(resolution,[status(thm)],[f230,f239]) ).
fof(f808,plain,
( spl0_15
| ~ spl0_16
| spl0_79 ),
inference(split_clause,[status(thm)],[f807,f486,f489,f804]) ).
fof(f814,plain,
( spl0_81
<=> v7_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f819,plain,
( spl0_82
<=> v8_lattices(k1_lattice2(sk0_8)) ),
introduced(split_symbol_definition) ).
fof(f822,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v8_lattices(k1_lattice2(sk0_8)) ),
inference(resolution,[status(thm)],[f231,f239]) ).
fof(f823,plain,
( spl0_15
| ~ spl0_16
| spl0_82 ),
inference(split_clause,[status(thm)],[f822,f486,f489,f819]) ).
fof(f829,plain,
( spl0_84
<=> v8_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f834,plain,
( spl0_85
<=> v9_lattices(k1_lattice2(sk0_8)) ),
introduced(split_symbol_definition) ).
fof(f837,plain,
( v3_struct_0(sk0_8)
| ~ v10_lattices(sk0_8)
| v9_lattices(k1_lattice2(sk0_8)) ),
inference(resolution,[status(thm)],[f232,f239]) ).
fof(f838,plain,
( spl0_15
| ~ spl0_16
| spl0_85 ),
inference(split_clause,[status(thm)],[f837,f486,f489,f834]) ).
fof(f844,plain,
( spl0_87
<=> v9_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f908,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(f909,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(f910,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(f915,plain,
( spl0_98
<=> v14_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f916,plain,
( v14_lattices(sk0_0)
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( ~ l3_lattices(sk0_0)
| v3_struct_0(sk0_0)
| v14_lattices(sk0_0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f434,f127]) ).
fof(f919,plain,
( ~ spl0_6
| spl0_5
| spl0_98
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f918,f442,f439,f915,f403]) ).
fof(f920,plain,
( spl0_99
<=> v13_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f923,plain,
( ~ l3_lattices(sk0_0)
| v3_struct_0(sk0_0)
| v13_lattices(sk0_0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f434,f126]) ).
fof(f924,plain,
( ~ spl0_6
| spl0_5
| spl0_99
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f923,f442,f439,f920,f403]) ).
fof(f925,plain,
( spl0_100
<=> v16_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f926,plain,
( v16_lattices(sk0_0)
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,plain,
( ~ l3_lattices(sk0_0)
| v3_struct_0(sk0_0)
| v16_lattices(sk0_0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f434,f129]) ).
fof(f929,plain,
( ~ spl0_6
| spl0_5
| spl0_100
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f928,f442,f439,f925,f403]) ).
fof(f930,plain,
( spl0_101
<=> v15_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f935,plain,
( spl0_102
<=> v11_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f936,plain,
( v11_lattices(sk0_0)
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,plain,
( ~ l3_lattices(sk0_0)
| v3_struct_0(sk0_0)
| v11_lattices(sk0_0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f434,f125]) ).
fof(f939,plain,
( ~ spl0_6
| spl0_5
| spl0_102
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f938,f442,f439,f935,f403]) ).
fof(f954,plain,
( spl0_103
<=> v15_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f957,plain,
( spl0_104
<=> v16_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f960,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| v16_lattices(sk0_0)
| ~ v10_lattices(k1_lattice2(sk0_0))
| ~ v15_lattices(k1_lattice2(sk0_0))
| ~ v16_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f555,f910]) ).
fof(f961,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| spl0_100
| ~ spl0_2
| ~ spl0_103
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f960,f439,f464,f442,f925,f410,f954,f957]) ).
fof(f962,plain,
( spl0_105
<=> v11_lattices(k1_lattice2(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f963,plain,
( v11_lattices(k1_lattice2(sk0_0))
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| v11_lattices(sk0_0)
| ~ v10_lattices(k1_lattice2(sk0_0))
| ~ v11_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f555,f909]) ).
fof(f966,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| spl0_102
| ~ spl0_2
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f965,f439,f464,f442,f935,f410,f962]) ).
fof(f967,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| v15_lattices(sk0_0)
| ~ v10_lattices(k1_lattice2(sk0_0))
| ~ v15_lattices(k1_lattice2(sk0_0))
| ~ v16_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f555,f908]) ).
fof(f968,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| spl0_101
| ~ spl0_2
| ~ spl0_103
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f967,f439,f464,f442,f930,f410,f954,f957]) ).
fof(f969,plain,
( spl0_106
<=> v9_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f972,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v9_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
inference(resolution,[status(thm)],[f555,f232]) ).
fof(f973,plain,
( spl0_1
| ~ spl0_2
| spl0_106 ),
inference(split_clause,[status(thm)],[f972,f406,f410,f969]) ).
fof(f974,plain,
( spl0_107
<=> v8_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f977,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v8_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
inference(resolution,[status(thm)],[f555,f231]) ).
fof(f978,plain,
( spl0_1
| ~ spl0_2
| spl0_107 ),
inference(split_clause,[status(thm)],[f977,f406,f410,f974]) ).
fof(f979,plain,
( spl0_108
<=> v7_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f982,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v7_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
inference(resolution,[status(thm)],[f555,f230]) ).
fof(f983,plain,
( spl0_1
| ~ spl0_2
| spl0_108 ),
inference(split_clause,[status(thm)],[f982,f406,f410,f979]) ).
fof(f984,plain,
( spl0_109
<=> v6_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f987,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v6_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
inference(resolution,[status(thm)],[f555,f229]) ).
fof(f988,plain,
( spl0_1
| ~ spl0_2
| spl0_109 ),
inference(split_clause,[status(thm)],[f987,f406,f410,f984]) ).
fof(f989,plain,
( spl0_110
<=> v5_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f992,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v5_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
inference(resolution,[status(thm)],[f555,f228]) ).
fof(f993,plain,
( spl0_1
| ~ spl0_2
| spl0_110 ),
inference(split_clause,[status(thm)],[f992,f406,f410,f989]) ).
fof(f994,plain,
( spl0_111
<=> v4_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f997,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v4_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
inference(resolution,[status(thm)],[f555,f227]) ).
fof(f998,plain,
( spl0_1
| ~ spl0_2
| spl0_111 ),
inference(split_clause,[status(thm)],[f997,f406,f410,f994]) ).
fof(f999,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v9_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f555,f105]) ).
fof(f1000,plain,
( spl0_1
| ~ spl0_2
| spl0_87 ),
inference(split_clause,[status(thm)],[f999,f406,f410,f844]) ).
fof(f1001,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v8_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f555,f104]) ).
fof(f1002,plain,
( spl0_1
| ~ spl0_2
| spl0_84 ),
inference(split_clause,[status(thm)],[f1001,f406,f410,f829]) ).
fof(f1003,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v7_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f555,f103]) ).
fof(f1004,plain,
( spl0_1
| ~ spl0_2
| spl0_81 ),
inference(split_clause,[status(thm)],[f1003,f406,f410,f814]) ).
fof(f1005,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v6_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f555,f102]) ).
fof(f1006,plain,
( spl0_1
| ~ spl0_2
| spl0_78 ),
inference(split_clause,[status(thm)],[f1005,f406,f410,f799]) ).
fof(f1007,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v5_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f555,f101]) ).
fof(f1008,plain,
( spl0_1
| ~ spl0_2
| spl0_75 ),
inference(split_clause,[status(thm)],[f1007,f406,f410,f784]) ).
fof(f1009,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v4_lattices(k1_lattice2(sk0_0)) ),
inference(resolution,[status(thm)],[f555,f100]) ).
fof(f1010,plain,
( spl0_1
| ~ spl0_2
| spl0_72 ),
inference(split_clause,[status(thm)],[f1009,f406,f410,f769]) ).
fof(f1011,plain,
( spl0_112
<=> v3_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f1014,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| v3_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
inference(resolution,[status(thm)],[f555,f190]) ).
fof(f1015,plain,
( spl0_1
| spl0_112 ),
inference(split_clause,[status(thm)],[f1014,f406,f1011]) ).
fof(f1016,plain,
( v3_struct_0(k1_lattice2(sk0_0))
| ~ v10_lattices(k1_lattice2(sk0_0))
| v10_lattices(k1_lattice2(k1_lattice2(sk0_0))) ),
inference(resolution,[status(thm)],[f555,f233]) ).
fof(f1017,plain,
( spl0_1
| ~ spl0_2
| spl0_28 ),
inference(split_clause,[status(thm)],[f1016,f406,f410,f531]) ).
fof(f1021,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ v15_lattices(sk0_0)
| v16_lattices(k1_lattice2(sk0_0))
| ~ spl0_100 ),
inference(resolution,[status(thm)],[f926,f426]) ).
fof(f1022,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| ~ spl0_101
| spl0_104
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f1021,f439,f464,f442,f930,f957,f925]) ).
fof(f1023,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ v15_lattices(sk0_0)
| v15_lattices(k1_lattice2(sk0_0))
| ~ spl0_100 ),
inference(resolution,[status(thm)],[f926,f425]) ).
fof(f1024,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| ~ spl0_101
| spl0_103
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f1023,f439,f464,f442,f930,f954,f925]) ).
fof(f1025,plain,
( ~ l3_lattices(sk0_0)
| v3_struct_0(sk0_0)
| ~ v11_lattices(sk0_0)
| ~ v15_lattices(sk0_0)
| v17_lattices(sk0_0)
| ~ spl0_100 ),
inference(resolution,[status(thm)],[f926,f132]) ).
fof(f1026,plain,
( ~ spl0_6
| spl0_5
| ~ spl0_102
| ~ spl0_101
| spl0_31
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f1025,f442,f439,f935,f930,f544,f925]) ).
fof(f1033,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| v11_lattices(k1_lattice2(sk0_0))
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f936,f430]) ).
fof(f1034,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_6
| spl0_105
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f1033,f439,f464,f442,f962,f935]) ).
fof(f1042,plain,
( ~ l3_lattices(sk0_0)
| v3_struct_0(sk0_0)
| ~ v13_lattices(sk0_0)
| v15_lattices(sk0_0)
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f916,f118]) ).
fof(f1043,plain,
( ~ spl0_6
| spl0_5
| ~ spl0_99
| spl0_101
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f1042,f442,f439,f920,f930,f915]) ).
fof(f1062,plain,
( spl0_114
<=> k1_lattice2(sk0_0) = g3_lattices(u1_struct_0(k1_lattice2(sk0_0)),u2_lattices(k1_lattice2(sk0_0)),u1_lattices(k1_lattice2(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f1065,plain,
( ~ l3_lattices(k1_lattice2(sk0_0))
| k1_lattice2(sk0_0) = g3_lattices(u1_struct_0(k1_lattice2(sk0_0)),u2_lattices(k1_lattice2(sk0_0)),u1_lattices(k1_lattice2(sk0_0)))
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f596,f93]) ).
fof(f1066,plain,
( ~ spl0_4
| spl0_114
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1065,f418,f1062,f595]) ).
fof(f1067,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f420,f555]) ).
fof(f1068,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f1067]) ).
fof(f1093,plain,
( ~ l3_lattices(k1_lattice2(sk0_0))
| v3_struct_0(k1_lattice2(sk0_0))
| ~ v15_lattices(k1_lattice2(sk0_0))
| ~ v16_lattices(k1_lattice2(sk0_0))
| v17_lattices(k1_lattice2(sk0_0))
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f963,f132]) ).
fof(f1094,plain,
( ~ spl0_4
| spl0_1
| ~ spl0_103
| ~ spl0_104
| spl0_3
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f1093,f418,f406,f954,f957,f414,f962]) ).
fof(f1107,plain,
( ~ l3_lattices(k1_lattice2(sk0_0))
| v3_struct_0(k1_lattice2(sk0_0))
| v16_lattices(k1_lattice2(sk0_0))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f415,f129]) ).
fof(f1108,plain,
( ~ spl0_4
| spl0_1
| spl0_104
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1107,f418,f406,f957,f414]) ).
fof(f1109,plain,
( ~ l3_lattices(k1_lattice2(sk0_0))
| v3_struct_0(k1_lattice2(sk0_0))
| v15_lattices(k1_lattice2(sk0_0))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f415,f128]) ).
fof(f1110,plain,
( ~ spl0_4
| spl0_1
| spl0_103
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1109,f418,f406,f954,f414]) ).
fof(f1111,plain,
( ~ l3_lattices(k1_lattice2(sk0_0))
| v3_struct_0(k1_lattice2(sk0_0))
| v11_lattices(k1_lattice2(sk0_0))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f415,f125]) ).
fof(f1112,plain,
( ~ spl0_4
| spl0_1
| spl0_105
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1111,f418,f406,f962,f414]) ).
fof(f1115,plain,
$false,
inference(sat_refutation,[status(thm)],[f417,f422,f446,f448,f450,f460,f462,f548,f552,f554,f557,f577,f584,f589,f599,f605,f615,f620,f630,f635,f645,f650,f660,f665,f675,f680,f690,f763,f778,f793,f808,f823,f838,f919,f924,f929,f939,f961,f966,f968,f973,f978,f983,f988,f993,f998,f1000,f1002,f1004,f1006,f1008,f1010,f1015,f1017,f1022,f1024,f1026,f1034,f1043,f1066,f1068,f1094,f1108,f1110,f1112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT319+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:46:32 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.45/0.63 % Elapsed time: 0.096228 seconds
% 0.45/0.63 % CPU time: 0.269540 seconds
% 0.45/0.63 % Memory used: 31.128 MB
%------------------------------------------------------------------------------