TSTP Solution File: LAT313+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT313+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 : n007.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 17:36:55 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 124 ( 25 unt; 0 def)
% Number of atoms : 447 ( 50 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 526 ( 203 ~; 221 |; 73 &)
% ( 5 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 127 ( 119 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f511,plain,
$false,
inference(subsumption_resolution,[],[f510,f384]) ).
fof(f384,plain,
r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(backward_demodulation,[],[f333,f383]) ).
fof(f383,plain,
k19_filter_2(sK1,u1_struct_0(sK1)) = u1_struct_0(sK1),
inference(subsumption_resolution,[],[f382,f165]) ).
fof(f165,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( l3_lattices(sK1)
& ~ v3_struct_0(sK1)
& r2_hidden(k6_lattices(sK1),sK2)
& ( sK2 != u1_struct_0(sK1)
| ~ r1_filter_2(u1_struct_0(sK1),sK2,k17_filter_2(sK1)) )
& v14_lattices(sK1)
& m2_filter_2(sK2,sK1)
& v10_lattices(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f63,f119,f118]) ).
fof(f118,plain,
( ? [X0] :
( l3_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( r2_hidden(k6_lattices(X0),X1)
& ( u1_struct_0(X0) != X1
| ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0)) )
& v14_lattices(X0)
& m2_filter_2(X1,X0) )
& v10_lattices(X0) )
=> ( l3_lattices(sK1)
& ~ v3_struct_0(sK1)
& ? [X1] :
( r2_hidden(k6_lattices(sK1),X1)
& ( u1_struct_0(sK1) != X1
| ~ r1_filter_2(u1_struct_0(sK1),X1,k17_filter_2(sK1)) )
& v14_lattices(sK1)
& m2_filter_2(X1,sK1) )
& v10_lattices(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( ? [X1] :
( r2_hidden(k6_lattices(sK1),X1)
& ( u1_struct_0(sK1) != X1
| ~ r1_filter_2(u1_struct_0(sK1),X1,k17_filter_2(sK1)) )
& v14_lattices(sK1)
& m2_filter_2(X1,sK1) )
=> ( r2_hidden(k6_lattices(sK1),sK2)
& ( sK2 != u1_struct_0(sK1)
| ~ r1_filter_2(u1_struct_0(sK1),sK2,k17_filter_2(sK1)) )
& v14_lattices(sK1)
& m2_filter_2(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( r2_hidden(k6_lattices(X0),X1)
& ( u1_struct_0(X0) != X1
| ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0)) )
& v14_lattices(X0)
& m2_filter_2(X1,X0) )
& v10_lattices(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ( u1_struct_0(X0) != X1
| ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0)) )
& v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1)
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1) )
=> ( u1_struct_0(X0) = X1
& r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0)) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1) )
=> ( u1_struct_0(X0) = X1
& r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_filter_2) ).
fof(f382,plain,
( k19_filter_2(sK1,u1_struct_0(sK1)) = u1_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(subsumption_resolution,[],[f381,f164]) ).
fof(f164,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f120]) ).
fof(f381,plain,
( v3_struct_0(sK1)
| k19_filter_2(sK1,u1_struct_0(sK1)) = u1_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f378,f256]) ).
fof(f256,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f186,f190]) ).
fof(f190,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f186,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ l2_lattices(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f378,plain,
( ~ m1_subset_1(k6_lattices(sK1),u1_struct_0(sK1))
| k19_filter_2(sK1,u1_struct_0(sK1)) = u1_struct_0(sK1) ),
inference(subsumption_resolution,[],[f372,f291]) ).
fof(f291,plain,
~ v1_xboole_0(u1_struct_0(sK1)),
inference(forward_demodulation,[],[f290,f281]) ).
fof(f281,plain,
u1_struct_0(sK1) = k17_filter_2(sK1),
inference(subsumption_resolution,[],[f280,f165]) ).
fof(f280,plain,
( u1_struct_0(sK1) = k17_filter_2(sK1)
| ~ l3_lattices(sK1) ),
inference(subsumption_resolution,[],[f279,f164]) ).
fof(f279,plain,
( v3_struct_0(sK1)
| u1_struct_0(sK1) = k17_filter_2(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f177,f159]) ).
fof(f159,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f120]) ).
fof(f177,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| u1_struct_0(X0) = k17_filter_2(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( v3_struct_0(X0)
| u1_struct_0(X0) = k17_filter_2(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( u1_struct_0(X0) = k17_filter_2(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> u1_struct_0(X0) = k17_filter_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f290,plain,
~ v1_xboole_0(k17_filter_2(sK1)),
inference(subsumption_resolution,[],[f289,f164]) ).
fof(f289,plain,
( ~ v1_xboole_0(k17_filter_2(sK1))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f288,f165]) ).
fof(f288,plain,
( ~ l3_lattices(sK1)
| ~ v1_xboole_0(k17_filter_2(sK1))
| v3_struct_0(sK1) ),
inference(resolution,[],[f275,f159]) ).
fof(f275,plain,
! [X1] :
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k17_filter_2(X1)) ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f273,plain,
! [X1] :
( ~ l3_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(k17_filter_2(X1))
| v3_struct_0(X1) ),
inference(resolution,[],[f173,f192]) ).
fof(f192,plain,
! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> m2_filter_2(k17_filter_2(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_filter_2) ).
fof(f173,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( v3_struct_0(X0)
| ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ( v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f372,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ m1_subset_1(k6_lattices(sK1),u1_struct_0(sK1))
| k19_filter_2(sK1,u1_struct_0(sK1)) = u1_struct_0(sK1) ),
inference(resolution,[],[f371,f246]) ).
fof(f246,plain,
! [X0] : m1_subset_1(X0,k1_zfmisc_1(X0)),
inference(resolution,[],[f205,f194]) ).
fof(f194,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X1] : r1_tarski(X1,X1),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X1,X0] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f205,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( r1_tarski(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(unused_predicate_definition_removal,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
<=> r1_tarski(X1,X0) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X1,X0] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f371,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(k6_lattices(sK1),X0)
| k19_filter_2(sK1,X0) = u1_struct_0(sK1) ),
inference(resolution,[],[f369,f216]) ).
fof(f216,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| r2_hidden(X1,X0) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f369,plain,
! [X0] :
( ~ r2_hidden(k6_lattices(sK1),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| k19_filter_2(sK1,X0) = u1_struct_0(sK1) ),
inference(subsumption_resolution,[],[f368,f165]) ).
fof(f368,plain,
! [X0] :
( ~ r2_hidden(k6_lattices(sK1),X0)
| k19_filter_2(sK1,X0) = u1_struct_0(sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1) ),
inference(subsumption_resolution,[],[f367,f164]) ).
fof(f367,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| k19_filter_2(sK1,X0) = u1_struct_0(sK1)
| ~ r2_hidden(k6_lattices(sK1),X0) ),
inference(subsumption_resolution,[],[f366,f159]) ).
fof(f366,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v10_lattices(sK1)
| ~ r2_hidden(k6_lattices(sK1),X0)
| ~ l3_lattices(sK1)
| v3_struct_0(sK1)
| k19_filter_2(sK1,X0) = u1_struct_0(sK1) ),
inference(resolution,[],[f365,f161]) ).
fof(f161,plain,
v14_lattices(sK1),
inference(cnf_transformation,[],[f120]) ).
fof(f365,plain,
! [X0,X1] :
( ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| u1_struct_0(X0) = k19_filter_2(X0,X1)
| ~ r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(subsumption_resolution,[],[f198,f176]) ).
fof(f176,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
~ ( v1_xboole_0(X0)
& r2_hidden(X1,X0) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X1,X0] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f198,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| u1_struct_0(X0) = k19_filter_2(X0,X1)
| ~ v14_lattices(X0)
| ~ r2_hidden(k6_lattices(X0),X1)
| v1_xboole_0(X1)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ! [X1] :
( ~ v14_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ r2_hidden(k6_lattices(X0),X1)
| ( u1_struct_0(X0) = k19_filter_2(X0,X1)
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0)) ) ) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( u1_struct_0(X0) = k19_filter_2(X0,X1)
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0)) )
| ~ r2_hidden(k6_lattices(X0),X1)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ( ( r2_hidden(k6_lattices(X0),X1)
& v14_lattices(X0) )
=> ( u1_struct_0(X0) = k19_filter_2(X0,X1)
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_filter_2) ).
fof(f333,plain,
r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(subsumption_resolution,[],[f332,f164]) ).
fof(f332,plain,
( r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,u1_struct_0(sK1)),u1_struct_0(sK1))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f331,f165]) ).
fof(f331,plain,
( ~ l3_lattices(sK1)
| v3_struct_0(sK1)
| r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(subsumption_resolution,[],[f325,f159]) ).
fof(f325,plain,
( ~ v10_lattices(sK1)
| r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,u1_struct_0(sK1)),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f182,f286]) ).
fof(f286,plain,
m2_filter_2(u1_struct_0(sK1),sK1),
inference(subsumption_resolution,[],[f285,f159]) ).
fof(f285,plain,
( m2_filter_2(u1_struct_0(sK1),sK1)
| ~ v10_lattices(sK1) ),
inference(subsumption_resolution,[],[f284,f164]) ).
fof(f284,plain,
( v3_struct_0(sK1)
| m2_filter_2(u1_struct_0(sK1),sK1)
| ~ v10_lattices(sK1) ),
inference(subsumption_resolution,[],[f283,f165]) ).
fof(f283,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| m2_filter_2(u1_struct_0(sK1),sK1) ),
inference(superposition,[],[f192,f281]) ).
fof(f182,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v10_lattices(X0)
| r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ~ l3_lattices(X0)
| ! [X1] :
( ~ m2_filter_2(X1,X0)
| r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ~ m2_filter_2(X1,X0)
| r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_filter_2) ).
fof(f510,plain,
~ r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(forward_demodulation,[],[f509,f496]) ).
fof(f496,plain,
sK2 = u1_struct_0(sK1),
inference(subsumption_resolution,[],[f495,f246]) ).
fof(f495,plain,
( ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK1)))
| sK2 = u1_struct_0(sK1) ),
inference(forward_demodulation,[],[f494,f474]) ).
fof(f474,plain,
k19_filter_2(sK1,sK2) = u1_struct_0(sK1),
inference(resolution,[],[f473,f370]) ).
fof(f370,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| k19_filter_2(sK1,sK2) = u1_struct_0(sK1) ),
inference(resolution,[],[f369,f163]) ).
fof(f163,plain,
r2_hidden(k6_lattices(sK1),sK2),
inference(cnf_transformation,[],[f120]) ).
fof(f473,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(subsumption_resolution,[],[f472,f164]) ).
fof(f472,plain,
( m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f471,f159]) ).
fof(f471,plain,
( m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(subsumption_resolution,[],[f466,f165]) ).
fof(f466,plain,
( ~ l3_lattices(sK1)
| m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1) ),
inference(resolution,[],[f295,f160]) ).
fof(f160,plain,
m2_filter_2(sK2,sK1),
inference(cnf_transformation,[],[f120]) ).
fof(f295,plain,
! [X2,X3] :
( ~ m2_filter_2(X2,X3)
| ~ l3_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3))) ),
inference(duplicate_literal_removal,[],[f294]) ).
fof(f294,plain,
! [X2,X3] :
( ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| ~ m2_filter_2(X2,X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v3_struct_0(X3)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3))) ),
inference(resolution,[],[f199,f172]) ).
fof(f172,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f199,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ~ v10_lattices(X0)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f494,plain,
( sK2 = u1_struct_0(sK1)
| ~ m1_subset_1(k19_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(subsumption_resolution,[],[f490,f473]) ).
fof(f490,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(k19_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK1)))
| sK2 = u1_struct_0(sK1) ),
inference(backward_demodulation,[],[f343,f474]) ).
fof(f343,plain,
( ~ m1_subset_1(k19_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| k19_filter_2(sK1,sK2) = sK2 ),
inference(subsumption_resolution,[],[f338,f291]) ).
fof(f338,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(k19_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK1)))
| v1_xboole_0(u1_struct_0(sK1))
| k19_filter_2(sK1,sK2) = sK2 ),
inference(resolution,[],[f178,f336]) ).
fof(f336,plain,
r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,sK2),sK2),
inference(subsumption_resolution,[],[f335,f159]) ).
fof(f335,plain,
( r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,sK2),sK2)
| ~ v10_lattices(sK1) ),
inference(subsumption_resolution,[],[f334,f164]) ).
fof(f334,plain,
( r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,sK2),sK2)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1) ),
inference(subsumption_resolution,[],[f327,f165]) ).
fof(f327,plain,
( ~ l3_lattices(sK1)
| v3_struct_0(sK1)
| r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,sK2),sK2)
| ~ v10_lattices(sK1) ),
inference(resolution,[],[f182,f160]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ r1_filter_2(X1,X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X1,X0,X2)
| X0 != X2 )
& ( X0 = X2
| ~ r1_filter_2(X1,X0,X2) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X1,X0,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X1,X0,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X1,X0,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X1,X0,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f509,plain,
~ r1_filter_2(u1_struct_0(sK1),sK2,u1_struct_0(sK1)),
inference(trivial_inequality_removal,[],[f505]) ).
fof(f505,plain,
( ~ r1_filter_2(u1_struct_0(sK1),sK2,u1_struct_0(sK1))
| u1_struct_0(sK1) != u1_struct_0(sK1) ),
inference(backward_demodulation,[],[f282,f496]) ).
fof(f282,plain,
( ~ r1_filter_2(u1_struct_0(sK1),sK2,u1_struct_0(sK1))
| sK2 != u1_struct_0(sK1) ),
inference(backward_demodulation,[],[f162,f281]) ).
fof(f162,plain,
( ~ r1_filter_2(u1_struct_0(sK1),sK2,k17_filter_2(sK1))
| sK2 != u1_struct_0(sK1) ),
inference(cnf_transformation,[],[f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT313+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:51:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (17801)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (17794)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)
% 0.20/0.50 % (17801)Instruction limit reached!
% 0.20/0.50 % (17801)------------------------------
% 0.20/0.50 % (17801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17819)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (17801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17801)Termination reason: Unknown
% 0.20/0.51 % (17801)Termination phase: Preprocessing 1
% 0.20/0.51
% 0.20/0.51 % (17801)Memory used [KB]: 895
% 0.20/0.51 % (17801)Time elapsed: 0.004 s
% 0.20/0.51 % (17801)Instructions burned: 2 (million)
% 0.20/0.51 % (17801)------------------------------
% 0.20/0.51 % (17801)------------------------------
% 0.20/0.51 % (17794)Refutation not found, incomplete strategy% (17794)------------------------------
% 0.20/0.51 % (17794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17794)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (17794)Memory used [KB]: 5500
% 0.20/0.51 % (17794)Time elapsed: 0.103 s
% 0.20/0.51 % (17794)Instructions burned: 6 (million)
% 0.20/0.51 % (17794)------------------------------
% 0.20/0.51 % (17794)------------------------------
% 0.20/0.52 % (17808)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)
% 0.20/0.52 % (17816)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)
% 0.20/0.53 % (17803)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (17793)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)
% 0.20/0.53 % (17796)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)
% 0.20/0.53 % (17799)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)
% 0.20/0.54 % (17795)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)
% 0.20/0.54 % (17800)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (17804)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (17822)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (17807)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)
% 0.20/0.54 % (17800)Instruction limit reached!
% 0.20/0.54 % (17800)------------------------------
% 0.20/0.54 % (17800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17800)Termination reason: Unknown
% 0.20/0.54 % (17800)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (17800)Memory used [KB]: 5628
% 0.20/0.54 % (17800)Time elapsed: 0.135 s
% 0.20/0.54 % (17800)Instructions burned: 7 (million)
% 0.20/0.54 % (17800)------------------------------
% 0.20/0.54 % (17800)------------------------------
% 0.20/0.54 % (17820)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)
% 0.20/0.54 % (17802)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (17818)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (17814)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (17821)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (17797)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (17806)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (17810)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (17813)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (17805)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (17816)First to succeed.
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (17798)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)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.56 % (17812)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 TRYING [3]
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (17809)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 TRYING [4]
% 0.20/0.57 % (17816)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (17816)------------------------------
% 0.20/0.57 % (17816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (17816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (17816)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (17816)Memory used [KB]: 1279
% 0.20/0.57 % (17816)Time elapsed: 0.082 s
% 0.20/0.57 % (17816)Instructions burned: 18 (million)
% 0.20/0.57 % (17816)------------------------------
% 0.20/0.57 % (17816)------------------------------
% 0.20/0.57 % (17790)Success in time 0.209 s
%------------------------------------------------------------------------------