TSTP Solution File: LAT302+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT302+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:22:10 EDT 2024
% Result : Theorem 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 17
% Syntax : Number of formulae : 119 ( 11 unt; 0 def)
% Number of atoms : 494 ( 26 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 625 ( 250 ~; 251 |; 95 &)
% ( 9 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 83 ( 80 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2318,plain,
$false,
inference(resolution,[],[f2317,f272]) ).
fof(f272,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( ~ m2_filter_2(k6_domain_1(u1_struct_0(sK2),k5_lattices(sK2)),sK2)
& v13_lattices(sK2)
& l3_lattices(sK2)
& v10_lattices(sK2)
& ~ v3_struct_0(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f108,f208]) ).
fof(f208,plain,
( ? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ~ m2_filter_2(k6_domain_1(u1_struct_0(sK2),k5_lattices(sK2)),sK2)
& v13_lattices(sK2)
& l3_lattices(sK2)
& v10_lattices(sK2)
& ~ v3_struct_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
=> m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
=> m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_filter_2) ).
fof(f2317,plain,
~ l3_lattices(sK2),
inference(duplicate_literal_removal,[],[f2316]) ).
fof(f2316,plain,
( ~ l3_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f2313,f295]) ).
fof(f295,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f2313,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f2312,f271]) ).
fof(f271,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f209]) ).
fof(f2312,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f2311,f270]) ).
fof(f270,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f209]) ).
fof(f2311,plain,
( v3_struct_0(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(duplicate_literal_removal,[],[f2310]) ).
fof(f2310,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) ),
inference(resolution,[],[f2307,f341]) ).
fof(f341,plain,
! [X0] :
( sP1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( sP1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f149,f206]) ).
fof(f206,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f149,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f2307,plain,
( ~ sP1(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f2304,f340]) ).
fof(f340,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f206]) ).
fof(f2304,plain,
( ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f2285,f273]) ).
fof(f273,plain,
v13_lattices(sK2),
inference(cnf_transformation,[],[f209]) ).
fof(f2285,plain,
( ~ v13_lattices(sK2)
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f2284,f270]) ).
fof(f2284,plain,
( v3_struct_0(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ v13_lattices(sK2) ),
inference(duplicate_literal_removal,[],[f2281]) ).
fof(f2281,plain,
( v3_struct_0(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ v13_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) ),
inference(resolution,[],[f2280,f343]) ).
fof(f343,plain,
! [X0] :
( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ( ( v13_lattices(X0)
| ~ v14_lattices(k1_lattice2(X0)) )
& ( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_lattice2) ).
fof(f2280,plain,
( ~ v14_lattices(k1_lattice2(sK2))
| v3_struct_0(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(resolution,[],[f2279,f480]) ).
fof(f480,plain,
~ v3_struct_0(k1_lattice2(sK2)),
inference(resolution,[],[f475,f272]) ).
fof(f475,plain,
( ~ l3_lattices(sK2)
| ~ v3_struct_0(k1_lattice2(sK2)) ),
inference(resolution,[],[f362,f270]) ).
fof(f362,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f2279,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v14_lattices(k1_lattice2(sK2)) ),
inference(duplicate_literal_removal,[],[f2276]) ).
fof(f2276,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v14_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) ),
inference(resolution,[],[f1858,f1979]) ).
fof(f1979,plain,
( m1_filter_0(k1_tarski(k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v14_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) ),
inference(backward_demodulation,[],[f1213,f1978]) ).
fof(f1978,plain,
k6_domain_1(u1_struct_0(k1_lattice2(sK2)),k5_lattices(sK2)) = k1_tarski(k5_lattices(sK2)),
inference(resolution,[],[f1977,f272]) ).
fof(f1977,plain,
( ~ l3_lattices(sK2)
| k6_domain_1(u1_struct_0(k1_lattice2(sK2)),k5_lattices(sK2)) = k1_tarski(k5_lattices(sK2)) ),
inference(resolution,[],[f1956,f295]) ).
fof(f1956,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| k6_domain_1(u1_struct_0(k1_lattice2(sK2)),k5_lattices(sK2)) = k1_tarski(k5_lattices(sK2)) ),
inference(duplicate_literal_removal,[],[f1955]) ).
fof(f1955,plain,
( k6_domain_1(u1_struct_0(k1_lattice2(sK2)),k5_lattices(sK2)) = k1_tarski(k5_lattices(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f1954,f293]) ).
fof(f293,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f1954,plain,
( ~ l2_lattices(k1_lattice2(sK2))
| k6_domain_1(u1_struct_0(k1_lattice2(sK2)),k5_lattices(sK2)) = k1_tarski(k5_lattices(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f1910,f480]) ).
fof(f1910,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ l2_lattices(k1_lattice2(sK2))
| k6_domain_1(u1_struct_0(k1_lattice2(sK2)),k5_lattices(sK2)) = k1_tarski(k5_lattices(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(forward_demodulation,[],[f1884,f1091]) ).
fof(f1091,plain,
k5_lattices(sK2) = k6_lattices(k1_lattice2(sK2)),
inference(resolution,[],[f1090,f272]) ).
fof(f1090,plain,
( ~ l3_lattices(sK2)
| k5_lattices(sK2) = k6_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f1087,f271]) ).
fof(f1087,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| k5_lattices(sK2) = k6_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f1082,f273]) ).
fof(f1082,plain,
( ~ v13_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| k5_lattices(sK2) = k6_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f331,f270]) ).
fof(f331,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_lattice2) ).
fof(f1884,plain,
( k6_domain_1(u1_struct_0(k1_lattice2(sK2)),k6_lattices(k1_lattice2(sK2))) = k1_tarski(k6_lattices(k1_lattice2(sK2)))
| ~ l2_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f846,f495]) ).
fof(f495,plain,
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f491,f293]) ).
fof(f491,plain,
( ~ l2_lattices(k1_lattice2(sK2))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK2))) ),
inference(resolution,[],[f483,f284]) ).
fof(f284,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f483,plain,
( ~ l1_struct_0(k1_lattice2(sK2))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK2))) ),
inference(resolution,[],[f480,f328]) ).
fof(f328,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f846,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| k6_domain_1(u1_struct_0(X0),k6_lattices(X0)) = k1_tarski(k6_lattices(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f374,f314]) ).
fof(f314,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f374,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,X0)
& ~ v1_xboole_0(X0) )
=> k6_domain_1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(f1213,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK2)),k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v14_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) ),
inference(superposition,[],[f441,f1091]) ).
fof(f441,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f342]) ).
fof(f342,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_filter_0) ).
fof(f1858,plain,
( ~ m1_filter_0(k1_tarski(k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) ),
inference(backward_demodulation,[],[f1057,f1857]) ).
fof(f1857,plain,
k6_domain_1(u1_struct_0(sK2),k5_lattices(sK2)) = k1_tarski(k5_lattices(sK2)),
inference(resolution,[],[f1856,f272]) ).
fof(f1856,plain,
( ~ l3_lattices(sK2)
| k6_domain_1(u1_struct_0(sK2),k5_lattices(sK2)) = k1_tarski(k5_lattices(sK2)) ),
inference(duplicate_literal_removal,[],[f1855]) ).
fof(f1855,plain,
( k6_domain_1(u1_struct_0(sK2),k5_lattices(sK2)) = k1_tarski(k5_lattices(sK2))
| ~ l3_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f1854,f292]) ).
fof(f292,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f1854,plain,
( ~ l1_lattices(sK2)
| k6_domain_1(u1_struct_0(sK2),k5_lattices(sK2)) = k1_tarski(k5_lattices(sK2))
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f1832,f270]) ).
fof(f1832,plain,
( v3_struct_0(sK2)
| ~ l1_lattices(sK2)
| k6_domain_1(u1_struct_0(sK2),k5_lattices(sK2)) = k1_tarski(k5_lattices(sK2))
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f845,f471]) ).
fof(f471,plain,
( ~ v1_xboole_0(u1_struct_0(sK2))
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f467,f293]) ).
fof(f467,plain,
( ~ l2_lattices(sK2)
| ~ v1_xboole_0(u1_struct_0(sK2)) ),
inference(resolution,[],[f457,f284]) ).
fof(f457,plain,
( ~ l1_struct_0(sK2)
| ~ v1_xboole_0(u1_struct_0(sK2)) ),
inference(resolution,[],[f328,f270]) ).
fof(f845,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| k6_domain_1(u1_struct_0(X0),k5_lattices(X0)) = k1_tarski(k5_lattices(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f374,f315]) ).
fof(f315,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f1057,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ m1_filter_0(k6_domain_1(u1_struct_0(sK2),k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) ),
inference(resolution,[],[f1053,f353]) ).
fof(f353,plain,
! [X0,X1] :
( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f1053,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK2),k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) ),
inference(resolution,[],[f355,f274]) ).
fof(f274,plain,
~ m2_filter_2(k6_domain_1(u1_struct_0(sK2),k5_lattices(sK2)),sK2),
inference(cnf_transformation,[],[f209]) ).
fof(f355,plain,
! [X0,X1] :
( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_filter_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT302+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n006.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 : Mon Apr 29 21:23:05 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (7053)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (7056)WARNING: value z3 for option sas not known
% 0.13/0.36 % (7057)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (7054)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (7058)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36 % (7056)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (7059)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.36 % (7060)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (7055)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 TRYING [3]
% 0.13/0.37 TRYING [4]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.18/0.40 TRYING [3]
% 0.18/0.41 TRYING [5]
% 0.18/0.42 % (7059)First to succeed.
% 0.18/0.42 % (7059)Refutation found. Thanks to Tanya!
% 0.18/0.42 % SZS status Theorem for theBenchmark
% 0.18/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.42 % (7059)------------------------------
% 0.18/0.42 % (7059)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.42 % (7059)Termination reason: Refutation
% 0.18/0.42
% 0.18/0.42 % (7059)Memory used [KB]: 2751
% 0.18/0.42 % (7059)Time elapsed: 0.065 s
% 0.18/0.42 % (7059)Instructions burned: 205 (million)
% 0.18/0.42 % (7059)------------------------------
% 0.18/0.42 % (7059)------------------------------
% 0.18/0.42 % (7053)Success in time 0.077 s
%------------------------------------------------------------------------------