TSTP Solution File: LAT319+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT319+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 : n010.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 17:36:58 EDT 2022
% Result : Theorem 1.62s 0.59s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 14
% Syntax : Number of formulae : 158 ( 20 unt; 0 def)
% Number of atoms : 875 ( 1 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 1120 ( 403 ~; 434 |; 255 &)
% ( 13 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 81 ( 76 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1341,plain,
$false,
inference(subsumption_resolution,[],[f1338,f1253]) ).
fof(f1253,plain,
v17_lattices(sK3),
inference(subsumption_resolution,[],[f1252,f802]) ).
fof(f802,plain,
( v11_lattices(sK3)
| v17_lattices(sK3) ),
inference(resolution,[],[f800,f495]) ).
fof(f495,plain,
( v17_lattices(sF27)
| v17_lattices(sK3) ),
inference(definition_folding,[],[f264,f489]) ).
fof(f489,plain,
k1_lattice2(sK3) = sF27,
introduced(function_definition,[]) ).
fof(f264,plain,
( v17_lattices(k1_lattice2(sK3))
| v17_lattices(sK3) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( l3_lattices(sK3)
& v10_lattices(sK3)
& ~ v3_struct_0(sK3)
& ( ~ v10_lattices(k1_lattice2(sK3))
| ~ v17_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3))
| ~ l3_lattices(k1_lattice2(sK3))
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3)
| v3_struct_0(sK3) )
& ( ( v10_lattices(k1_lattice2(sK3))
& v17_lattices(k1_lattice2(sK3))
& ~ v3_struct_0(k1_lattice2(sK3))
& l3_lattices(k1_lattice2(sK3)) )
| ( v17_lattices(sK3)
& v10_lattices(sK3)
& l3_lattices(sK3)
& ~ v3_struct_0(sK3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f182,f183]) ).
fof(f183,plain,
( ? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) )
& ( ( v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ( v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) ) ) )
=> ( l3_lattices(sK3)
& v10_lattices(sK3)
& ~ v3_struct_0(sK3)
& ( ~ v10_lattices(k1_lattice2(sK3))
| ~ v17_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3))
| ~ l3_lattices(k1_lattice2(sK3))
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3)
| v3_struct_0(sK3) )
& ( ( v10_lattices(k1_lattice2(sK3))
& v17_lattices(k1_lattice2(sK3))
& ~ v3_struct_0(k1_lattice2(sK3))
& l3_lattices(k1_lattice2(sK3)) )
| ( v17_lattices(sK3)
& v10_lattices(sK3)
& l3_lattices(sK3)
& ~ v3_struct_0(sK3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) )
& ( ( v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ( v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( ~ v10_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) )
& ( ( v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ( v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( ( v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
<~> ( v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
? [X0] :
( ( ( v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
<~> ( v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) )
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ( v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ( v17_lattices(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( v10_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
fof(f800,plain,
( ~ v17_lattices(sF27)
| v11_lattices(sK3) ),
inference(subsumption_resolution,[],[f799,f515]) ).
fof(f515,plain,
l3_lattices(sF27),
inference(subsumption_resolution,[],[f514,f272]) ).
fof(f272,plain,
l3_lattices(sK3),
inference(cnf_transformation,[],[f184]) ).
fof(f514,plain,
( ~ l3_lattices(sK3)
| l3_lattices(sF27) ),
inference(superposition,[],[f274,f489]) ).
fof(f274,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f799,plain,
( ~ l3_lattices(sF27)
| v11_lattices(sK3)
| ~ v17_lattices(sF27) ),
inference(subsumption_resolution,[],[f798,f532]) ).
fof(f532,plain,
~ v3_struct_0(sF27),
inference(subsumption_resolution,[],[f531,f270]) ).
fof(f270,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f184]) ).
fof(f531,plain,
( ~ v3_struct_0(sF27)
| v3_struct_0(sK3) ),
inference(subsumption_resolution,[],[f530,f272]) ).
fof(f530,plain,
( ~ l3_lattices(sK3)
| ~ v3_struct_0(sF27)
| v3_struct_0(sK3) ),
inference(superposition,[],[f380,f489]) ).
fof(f380,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f798,plain,
( ~ v17_lattices(sF27)
| v3_struct_0(sF27)
| v11_lattices(sK3)
| ~ l3_lattices(sF27) ),
inference(resolution,[],[f795,f305]) ).
fof(f305,plain,
! [X0] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ( v15_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0)
& v13_lattices(X0)
& v16_lattices(X0)
& v14_lattices(X0) )
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ( v15_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0)
& v13_lattices(X0)
& v16_lattices(X0)
& v14_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
=> ( v15_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0)
& v13_lattices(X0)
& v16_lattices(X0)
& v14_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f795,plain,
( ~ v11_lattices(sF27)
| v11_lattices(sK3) ),
inference(subsumption_resolution,[],[f794,f270]) ).
fof(f794,plain,
( v11_lattices(sK3)
| ~ v11_lattices(sF27)
| v3_struct_0(sK3) ),
inference(subsumption_resolution,[],[f793,f515]) ).
fof(f793,plain,
( ~ l3_lattices(sF27)
| ~ v11_lattices(sF27)
| v3_struct_0(sK3)
| v11_lattices(sK3) ),
inference(subsumption_resolution,[],[f792,f613]) ).
fof(f613,plain,
v10_lattices(sF27),
inference(forward_demodulation,[],[f605,f489]) ).
fof(f605,plain,
v10_lattices(k1_lattice2(sK3)),
inference(resolution,[],[f587,f409]) ).
fof(f409,plain,
! [X0] :
( ~ sP2(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( ( v9_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0)) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ( v9_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0)) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f587,plain,
sP2(sK3),
inference(subsumption_resolution,[],[f586,f272]) ).
fof(f586,plain,
( sP2(sK3)
| ~ l3_lattices(sK3) ),
inference(subsumption_resolution,[],[f578,f270]) ).
fof(f578,plain,
( v3_struct_0(sK3)
| ~ l3_lattices(sK3)
| sP2(sK3) ),
inference(resolution,[],[f414,f271]) ).
fof(f271,plain,
v10_lattices(sK3),
inference(cnf_transformation,[],[f184]) ).
fof(f414,plain,
! [X0] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sP2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( sP2(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f149,f179]) ).
fof(f149,plain,
! [X0] :
( ( v9_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0)) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( v9_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0)) )
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ( v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f792,plain,
( ~ v10_lattices(sF27)
| ~ v11_lattices(sF27)
| ~ l3_lattices(sF27)
| v3_struct_0(sK3)
| v11_lattices(sK3) ),
inference(subsumption_resolution,[],[f791,f272]) ).
fof(f791,plain,
( ~ l3_lattices(sK3)
| ~ l3_lattices(sF27)
| v11_lattices(sK3)
| ~ v10_lattices(sF27)
| ~ v11_lattices(sF27)
| v3_struct_0(sK3) ),
inference(subsumption_resolution,[],[f790,f271]) ).
fof(f790,plain,
( ~ v10_lattices(sK3)
| ~ l3_lattices(sK3)
| ~ l3_lattices(sF27)
| ~ v11_lattices(sF27)
| v11_lattices(sK3)
| ~ v10_lattices(sF27)
| v3_struct_0(sK3) ),
inference(subsumption_resolution,[],[f788,f532]) ).
fof(f788,plain,
( v11_lattices(sK3)
| v3_struct_0(sF27)
| ~ l3_lattices(sK3)
| v3_struct_0(sK3)
| ~ v11_lattices(sF27)
| ~ v10_lattices(sF27)
| ~ l3_lattices(sF27)
| ~ v10_lattices(sK3) ),
inference(superposition,[],[f475,f489]) ).
fof(f475,plain,
! [X0] :
( ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0))
| v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ~ v10_lattices(X0)
| ( ( ( v10_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) )
& ( ( l3_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f247]) ).
fof(f247,plain,
! [X0] :
( ~ v10_lattices(X0)
| ( ( ( v10_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) )
& ( ( l3_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ~ v10_lattices(X0)
| ( ( v10_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
<=> ( l3_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ( ( v10_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
<=> ( l3_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) ) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ( v10_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
<=> ( l3_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_lattice2) ).
fof(f1252,plain,
( ~ v11_lattices(sK3)
| v17_lattices(sK3) ),
inference(subsumption_resolution,[],[f1251,f1240]) ).
fof(f1240,plain,
( v17_lattices(sK3)
| v15_lattices(sK3) ),
inference(resolution,[],[f1235,f286]) ).
fof(f286,plain,
! [X0] :
( ~ sP0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ( sP0(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) )
& ( ( v15_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ( sP0(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) )
& ( ( v15_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( sP0(X0)
<=> ( v15_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1235,plain,
( sP0(sK3)
| v17_lattices(sK3) ),
inference(subsumption_resolution,[],[f1231,f1069]) ).
fof(f1069,plain,
( v15_lattices(sF27)
| v17_lattices(sK3) ),
inference(resolution,[],[f1064,f286]) ).
fof(f1064,plain,
( sP0(sF27)
| v17_lattices(sK3) ),
inference(subsumption_resolution,[],[f1063,f532]) ).
fof(f1063,plain,
( v17_lattices(sK3)
| v3_struct_0(sF27)
| sP0(sF27) ),
inference(subsumption_resolution,[],[f1062,f613]) ).
fof(f1062,plain,
( ~ v10_lattices(sF27)
| v3_struct_0(sF27)
| sP0(sF27)
| v17_lattices(sK3) ),
inference(subsumption_resolution,[],[f1060,f515]) ).
fof(f1060,plain,
( ~ l3_lattices(sF27)
| ~ v10_lattices(sF27)
| v3_struct_0(sF27)
| sP0(sF27)
| v17_lattices(sK3) ),
inference(resolution,[],[f710,f495]) ).
fof(f710,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| sP0(X0) ),
inference(subsumption_resolution,[],[f705,f483]) ).
fof(f483,plain,
! [X0] :
( v15_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( ( ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) )
| ~ v17_lattices(X0) )
& ( v17_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0) ) ) ),
inference(flattening,[],[f251]) ).
fof(f251,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( ( ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) )
| ~ v17_lattices(X0) )
& ( v17_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) )
<=> v17_lattices(X0) ) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) )
<=> v17_lattices(X0) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) )
<=> v17_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_lattices) ).
fof(f705,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| sP0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f704]) ).
fof(f704,plain,
! [X0] :
( ~ l3_lattices(X0)
| sP0(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f287,f302]) ).
fof(f302,plain,
! [X0] :
( v16_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f287,plain,
! [X0] :
( ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1231,plain,
( sP0(sK3)
| v17_lattices(sK3)
| ~ v15_lattices(sF27) ),
inference(resolution,[],[f1227,f1066]) ).
fof(f1066,plain,
( v16_lattices(sF27)
| v17_lattices(sK3) ),
inference(resolution,[],[f1064,f283]) ).
fof(f283,plain,
! [X0] :
( ~ sP0(X0)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1227,plain,
( ~ v16_lattices(sF27)
| ~ v15_lattices(sF27)
| sP0(sK3) ),
inference(subsumption_resolution,[],[f1226,f271]) ).
fof(f1226,plain,
( ~ v15_lattices(sF27)
| sP0(sK3)
| ~ v10_lattices(sK3)
| ~ v16_lattices(sF27) ),
inference(subsumption_resolution,[],[f1225,f272]) ).
fof(f1225,plain,
( ~ v15_lattices(sF27)
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ v16_lattices(sF27)
| sP0(sK3) ),
inference(subsumption_resolution,[],[f1224,f270]) ).
fof(f1224,plain,
( v3_struct_0(sK3)
| ~ l3_lattices(sK3)
| ~ v16_lattices(sF27)
| sP0(sK3)
| ~ v15_lattices(sF27)
| ~ v10_lattices(sK3) ),
inference(subsumption_resolution,[],[f1223,f613]) ).
fof(f1223,plain,
( ~ v10_lattices(sF27)
| ~ l3_lattices(sK3)
| ~ v16_lattices(sF27)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| sP0(sK3)
| ~ v15_lattices(sF27) ),
inference(superposition,[],[f786,f489]) ).
fof(f786,plain,
! [X0] :
( ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| sP0(X0)
| ~ v15_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(subsumption_resolution,[],[f785,f380]) ).
fof(f785,plain,
! [X0] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sP0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v16_lattices(k1_lattice2(X0)) ),
inference(subsumption_resolution,[],[f784,f274]) ).
fof(f784,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| sP0(X0)
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(resolution,[],[f281,f288]) ).
fof(f288,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ),
inference(definition_folding,[],[f166,f177,f176]) ).
fof(f177,plain,
! [X0] :
( ( sP0(X0)
<=> ( l3_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0)) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f166,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( v15_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0)) ) ) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ( ( v15_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0)) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& v10_lattices(X0) )
=> ( ( v15_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
fof(f281,plain,
! [X0] :
( ~ sP1(X0)
| ~ v16_lattices(k1_lattice2(X0))
| sP0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ( ( sP0(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0)) )
& ( ( l3_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ) )
| ~ sP1(X0) ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ( ( sP0(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0)) )
& ( ( l3_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f1251,plain,
( v17_lattices(sK3)
| ~ v15_lattices(sK3)
| ~ v11_lattices(sK3) ),
inference(subsumption_resolution,[],[f1250,f270]) ).
fof(f1250,plain,
( v17_lattices(sK3)
| ~ v11_lattices(sK3)
| ~ v15_lattices(sK3)
| v3_struct_0(sK3) ),
inference(subsumption_resolution,[],[f1249,f272]) ).
fof(f1249,plain,
( ~ v11_lattices(sK3)
| ~ l3_lattices(sK3)
| ~ v15_lattices(sK3)
| v17_lattices(sK3)
| v3_struct_0(sK3) ),
inference(duplicate_literal_removal,[],[f1247]) ).
fof(f1247,plain,
( ~ l3_lattices(sK3)
| v17_lattices(sK3)
| ~ v11_lattices(sK3)
| v3_struct_0(sK3)
| v17_lattices(sK3)
| ~ v15_lattices(sK3) ),
inference(resolution,[],[f1237,f299]) ).
fof(f299,plain,
! [X0] :
( ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| v17_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v17_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f1237,plain,
( v16_lattices(sK3)
| v17_lattices(sK3) ),
inference(resolution,[],[f1235,f283]) ).
fof(f1338,plain,
~ v17_lattices(sK3),
inference(resolution,[],[f1326,f624]) ).
fof(f624,plain,
( ~ v17_lattices(sF27)
| ~ v17_lattices(sK3) ),
inference(subsumption_resolution,[],[f623,f515]) ).
fof(f623,plain,
( ~ v17_lattices(sK3)
| ~ l3_lattices(sF27)
| ~ v17_lattices(sF27) ),
inference(subsumption_resolution,[],[f622,f272]) ).
fof(f622,plain,
( ~ v17_lattices(sK3)
| ~ v17_lattices(sF27)
| ~ l3_lattices(sK3)
| ~ l3_lattices(sF27) ),
inference(subsumption_resolution,[],[f621,f270]) ).
fof(f621,plain,
( v3_struct_0(sK3)
| ~ l3_lattices(sK3)
| ~ v17_lattices(sF27)
| ~ v17_lattices(sK3)
| ~ l3_lattices(sF27) ),
inference(subsumption_resolution,[],[f619,f532]) ).
fof(f619,plain,
( v3_struct_0(sF27)
| ~ l3_lattices(sK3)
| ~ v17_lattices(sF27)
| v3_struct_0(sK3)
| ~ l3_lattices(sF27)
| ~ v17_lattices(sK3) ),
inference(resolution,[],[f613,f511]) ).
fof(f511,plain,
( ~ v10_lattices(sF27)
| ~ v17_lattices(sK3)
| v3_struct_0(sK3)
| ~ l3_lattices(sF27)
| ~ v17_lattices(sF27)
| v3_struct_0(sF27)
| ~ l3_lattices(sK3) ),
inference(subsumption_resolution,[],[f490,f271]) ).
fof(f490,plain,
( ~ v10_lattices(sF27)
| ~ l3_lattices(sF27)
| ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| ~ v17_lattices(sF27)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| v3_struct_0(sF27) ),
inference(definition_folding,[],[f269,f489,f489,f489,f489]) ).
fof(f269,plain,
( ~ v10_lattices(k1_lattice2(sK3))
| ~ v17_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3))
| ~ l3_lattices(k1_lattice2(sK3))
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ l3_lattices(sK3)
| v3_struct_0(sK3) ),
inference(cnf_transformation,[],[f184]) ).
fof(f1326,plain,
v17_lattices(sF27),
inference(subsumption_resolution,[],[f1325,f532]) ).
fof(f1325,plain,
( v3_struct_0(sF27)
| v17_lattices(sF27) ),
inference(subsumption_resolution,[],[f1324,f515]) ).
fof(f1324,plain,
( v17_lattices(sF27)
| ~ l3_lattices(sF27)
| v3_struct_0(sF27) ),
inference(subsumption_resolution,[],[f1323,f1282]) ).
fof(f1282,plain,
v15_lattices(sF27),
inference(forward_demodulation,[],[f1280,f489]) ).
fof(f1280,plain,
v15_lattices(k1_lattice2(sK3)),
inference(resolution,[],[f1262,f543]) ).
fof(f543,plain,
! [X1] :
( ~ sP0(X1)
| v15_lattices(k1_lattice2(X1)) ),
inference(subsumption_resolution,[],[f542,f282]) ).
fof(f282,plain,
! [X0] :
( ~ sP0(X0)
| l3_lattices(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f542,plain,
! [X1] :
( v15_lattices(k1_lattice2(X1))
| ~ sP0(X1)
| ~ l3_lattices(X1) ),
inference(subsumption_resolution,[],[f541,f284]) ).
fof(f284,plain,
! [X0] :
( ~ sP0(X0)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f541,plain,
! [X1] :
( ~ sP0(X1)
| ~ l3_lattices(X1)
| v15_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1) ),
inference(subsumption_resolution,[],[f534,f285]) ).
fof(f285,plain,
! [X0] :
( ~ sP0(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f534,plain,
! [X1] :
( ~ sP0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v15_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(resolution,[],[f288,f279]) ).
fof(f279,plain,
! [X0] :
( ~ sP1(X0)
| v15_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1262,plain,
sP0(sK3),
inference(subsumption_resolution,[],[f1261,f272]) ).
fof(f1261,plain,
( ~ l3_lattices(sK3)
| sP0(sK3) ),
inference(subsumption_resolution,[],[f1260,f270]) ).
fof(f1260,plain,
( v3_struct_0(sK3)
| ~ l3_lattices(sK3)
| sP0(sK3) ),
inference(subsumption_resolution,[],[f1255,f271]) ).
fof(f1255,plain,
( ~ v10_lattices(sK3)
| ~ l3_lattices(sK3)
| v3_struct_0(sK3)
| sP0(sK3) ),
inference(resolution,[],[f1253,f710]) ).
fof(f1323,plain,
( ~ v15_lattices(sF27)
| v3_struct_0(sF27)
| v17_lattices(sF27)
| ~ l3_lattices(sF27) ),
inference(subsumption_resolution,[],[f1317,f1259]) ).
fof(f1259,plain,
v11_lattices(sF27),
inference(forward_demodulation,[],[f1258,f489]) ).
fof(f1258,plain,
v11_lattices(k1_lattice2(sK3)),
inference(subsumption_resolution,[],[f1257,f270]) ).
fof(f1257,plain,
( v3_struct_0(sK3)
| v11_lattices(k1_lattice2(sK3)) ),
inference(subsumption_resolution,[],[f1256,f272]) ).
fof(f1256,plain,
( ~ l3_lattices(sK3)
| v11_lattices(k1_lattice2(sK3))
| v3_struct_0(sK3) ),
inference(subsumption_resolution,[],[f1254,f271]) ).
fof(f1254,plain,
( ~ v10_lattices(sK3)
| v11_lattices(k1_lattice2(sK3))
| ~ l3_lattices(sK3)
| v3_struct_0(sK3) ),
inference(resolution,[],[f1253,f687]) ).
fof(f687,plain,
! [X0] :
( ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v11_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f686]) ).
fof(f686,plain,
! [X0] :
( ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f507,f305]) ).
fof(f507,plain,
! [X0] :
( ~ v11_lattices(X0)
| v11_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(duplicate_literal_removal,[],[f478]) ).
fof(f478,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v11_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1317,plain,
( ~ v11_lattices(sF27)
| ~ v15_lattices(sF27)
| v3_struct_0(sF27)
| ~ l3_lattices(sF27)
| v17_lattices(sF27) ),
inference(resolution,[],[f1283,f299]) ).
fof(f1283,plain,
v16_lattices(sF27),
inference(forward_demodulation,[],[f1279,f489]) ).
fof(f1279,plain,
v16_lattices(k1_lattice2(sK3)),
inference(resolution,[],[f1262,f540]) ).
fof(f540,plain,
! [X4] :
( ~ sP0(X4)
| v16_lattices(k1_lattice2(X4)) ),
inference(subsumption_resolution,[],[f539,f282]) ).
fof(f539,plain,
! [X4] :
( v16_lattices(k1_lattice2(X4))
| ~ l3_lattices(X4)
| ~ sP0(X4) ),
inference(subsumption_resolution,[],[f538,f284]) ).
fof(f538,plain,
! [X4] :
( ~ v10_lattices(X4)
| ~ sP0(X4)
| v16_lattices(k1_lattice2(X4))
| ~ l3_lattices(X4) ),
inference(subsumption_resolution,[],[f537,f285]) ).
fof(f537,plain,
! [X4] :
( ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ sP0(X4)
| v3_struct_0(X4)
| v16_lattices(k1_lattice2(X4)) ),
inference(resolution,[],[f288,f276]) ).
fof(f276,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| v16_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT319+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 01:00:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 % (6840)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.48 % (6856)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.49 % (6865)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.49 % (6849)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (6853)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)
% 0.19/0.49 % (6862)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)
% 0.19/0.50 % (6854)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)
% 0.19/0.50 % (6851)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (6846)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (6842)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)
% 0.19/0.51 % (6846)Instruction limit reached!
% 0.19/0.51 % (6846)------------------------------
% 0.19/0.51 % (6846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6846)Termination reason: Unknown
% 0.19/0.51 % (6846)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (6846)Memory used [KB]: 5628
% 0.19/0.51 % (6846)Time elapsed: 0.009 s
% 0.19/0.51 % (6846)Instructions burned: 7 (million)
% 0.19/0.51 % (6846)------------------------------
% 0.19/0.51 % (6846)------------------------------
% 0.19/0.51 % (6845)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)
% 0.19/0.52 % (6869)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)
% 0.19/0.52 % (6843)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (6844)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)
% 0.19/0.52 % (6839)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)
% 0.19/0.52 % (6852)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (6861)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)
% 0.19/0.52 % (6866)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)
% 0.19/0.52 % (6839)Refutation not found, incomplete strategy% (6839)------------------------------
% 0.19/0.52 % (6839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6839)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (6839)Memory used [KB]: 5884
% 0.19/0.52 % (6839)Time elapsed: 0.137 s
% 0.19/0.52 % (6839)Instructions burned: 13 (million)
% 0.19/0.52 % (6839)------------------------------
% 0.19/0.52 % (6839)------------------------------
% 0.19/0.53 TRYING [1]
% 1.46/0.53 % (6867)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)
% 1.46/0.53 TRYING [1]
% 1.46/0.53 % (6860)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.46/0.53 TRYING [2]
% 1.46/0.53 % (6857)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.53 % (6868)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.46/0.53 % (6838)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.46/0.53 % (6847)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.46/0.53 % (6848)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)
% 1.46/0.53 % (6850)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.53 % (6847)Instruction limit reached!
% 1.46/0.53 % (6847)------------------------------
% 1.46/0.53 % (6847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.53 % (6858)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)
% 1.46/0.53 % (6859)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)
% 1.46/0.53 % (6847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.53 % (6847)Termination reason: Unknown
% 1.46/0.53 % (6847)Termination phase: Unused predicate definition removal
% 1.46/0.53
% 1.46/0.53 % (6847)Memory used [KB]: 1023
% 1.46/0.53 % (6847)Time elapsed: 0.004 s
% 1.46/0.53 % (6847)Instructions burned: 2 (million)
% 1.46/0.53 % (6847)------------------------------
% 1.46/0.53 % (6847)------------------------------
% 1.46/0.54 % (6855)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)
% 1.46/0.54 % (6840)Instruction limit reached!
% 1.46/0.54 % (6840)------------------------------
% 1.46/0.54 % (6840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (6840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (6840)Termination reason: Unknown
% 1.46/0.54 % (6840)Termination phase: Saturation
% 1.46/0.54
% 1.46/0.54 % (6840)Memory used [KB]: 1407
% 1.46/0.54 % (6840)Time elapsed: 0.148 s
% 1.46/0.54 % (6840)Instructions burned: 37 (million)
% 1.46/0.54 % (6840)------------------------------
% 1.46/0.54 % (6840)------------------------------
% 1.46/0.54 % (6863)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.62/0.55 TRYING [1]
% 1.62/0.55 TRYING [2]
% 1.62/0.55 TRYING [3]
% 1.62/0.55 TRYING [2]
% 1.62/0.55 TRYING [3]
% 1.62/0.56 TRYING [3]
% 1.62/0.57 % (6854)First to succeed.
% 1.62/0.57 % (6845)Instruction limit reached!
% 1.62/0.57 % (6845)------------------------------
% 1.62/0.57 % (6845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (6845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (6845)Termination reason: Unknown
% 1.62/0.57 % (6845)Termination phase: Finite model building SAT solving
% 1.62/0.57
% 1.62/0.57 % (6845)Memory used [KB]: 7419
% 1.62/0.57 % (6845)Time elapsed: 0.173 s
% 1.62/0.57 % (6845)Instructions burned: 51 (million)
% 1.62/0.57 % (6845)------------------------------
% 1.62/0.57 % (6845)------------------------------
% 1.62/0.58 % (6856)Instruction limit reached!
% 1.62/0.58 % (6856)------------------------------
% 1.62/0.58 % (6856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (6856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (6856)Termination reason: Unknown
% 1.62/0.58 % (6856)Termination phase: Finite model building SAT solving
% 1.62/0.58
% 1.62/0.58 % (6856)Memory used [KB]: 7547
% 1.62/0.58 % (6856)Time elapsed: 0.174 s
% 1.62/0.58 % (6856)Instructions burned: 60 (million)
% 1.62/0.58 % (6856)------------------------------
% 1.62/0.58 % (6856)------------------------------
% 1.62/0.59 % (6849)Instruction limit reached!
% 1.62/0.59 % (6849)------------------------------
% 1.62/0.59 % (6849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59 % (6849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (6849)Termination reason: Unknown
% 1.62/0.59 % (6849)Termination phase: Saturation
% 1.62/0.59
% 1.62/0.59 % (6849)Memory used [KB]: 6396
% 1.62/0.59 % (6849)Time elapsed: 0.215 s
% 1.62/0.59 % (6849)Instructions burned: 51 (million)
% 1.62/0.59 % (6849)------------------------------
% 1.62/0.59 % (6849)------------------------------
% 1.62/0.59 % (6865)Also succeeded, but the first one will report.
% 1.62/0.59 % (6854)Refutation found. Thanks to Tanya!
% 1.62/0.59 % SZS status Theorem for theBenchmark
% 1.62/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.59 % (6854)------------------------------
% 1.62/0.59 % (6854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59 % (6854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (6854)Termination reason: Refutation
% 1.62/0.59
% 1.62/0.59 % (6854)Memory used [KB]: 1791
% 1.62/0.59 % (6854)Time elapsed: 0.134 s
% 1.62/0.59 % (6854)Instructions burned: 53 (million)
% 1.62/0.59 % (6854)------------------------------
% 1.62/0.59 % (6854)------------------------------
% 1.62/0.59 % (6835)Success in time 0.251 s
%------------------------------------------------------------------------------