TSTP Solution File: GRP645+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP645+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 : n023.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 : Sun May 5 06:10:09 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of formulae : 137 ( 31 unt; 0 def)
% Number of atoms : 658 ( 113 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 860 ( 339 ~; 365 |; 125 &)
% ( 3 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-3 aty)
% Number of variables : 182 ( 161 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3592,plain,
$false,
inference(subsumption_resolution,[],[f3591,f1597]) ).
fof(f1597,plain,
k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2)),
inference(forward_demodulation,[],[f1596,f1587]) ).
fof(f1587,plain,
k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1),
inference(subsumption_resolution,[],[f1586,f162]) ).
fof(f162,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2))
& m1_group_2(sK2,sK0)
& v1_group_1(sK2)
& m1_group_2(sK1,sK0)
& v1_group_1(sK1)
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f71,f127,f126,f125]) ).
fof(f125,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2))
& m1_group_2(X2,X0)
& v1_group_1(X2) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X1),k1_funct_1(k1_latsubgr(sK0),X2))
& m1_group_2(X2,sK0)
& v1_group_1(X2) )
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X1] :
( ? [X2] :
( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X1),k1_funct_1(k1_latsubgr(sK0),X2))
& m1_group_2(X2,sK0)
& v1_group_1(X2) )
& m1_group_2(X1,sK0)
& v1_group_1(X1) )
=> ( ? [X2] :
( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),X2))
& m1_group_2(X2,sK0)
& v1_group_1(X2) )
& m1_group_2(sK1,sK0)
& v1_group_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X2] :
( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),X2))
& m1_group_2(X2,sK0)
& v1_group_1(X2) )
=> ( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2))
& m1_group_2(sK2,sK0)
& v1_group_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2))
& m1_group_2(X2,X0)
& v1_group_1(X2) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2))
& m1_group_2(X2,X0)
& v1_group_1(X2) )
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).
fof(f1586,plain,
( k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1585,f163]) ).
fof(f163,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f1585,plain,
( k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1584,f164]) ).
fof(f164,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f1584,plain,
( k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1583,f165]) ).
fof(f165,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f1583,plain,
( k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1575,f166]) ).
fof(f166,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f128]) ).
fof(f1575,plain,
( k1_funct_1(k1_latsubgr(sK0),sK1) = u1_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f249,f167]) ).
fof(f167,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f249,plain,
! [X3,X0] :
( ~ m1_group_2(X3,X0)
| u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ v1_group_1(X3)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(global_subsumption,[],[f170,f169,f168,f167,f166,f165,f164,f163,f162,f171,f172,f173,f175,f174,f176,f179,f178,f177,f180,f181,f182,f185,f184,f183,f186,f190,f189,f188,f248]) ).
fof(f248,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f187]) ).
fof(f187,plain,
! [X3,X0,X1] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_latsubgr(X0) != X1
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ( k1_funct_1(X1,sK4(X0,X1)) != u1_struct_0(sK4(X0,X1))
& m1_group_2(sK4(X0,X1),X0)
& v1_group_1(sK4(X0,X1)) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f132,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) )
=> ( k1_funct_1(X1,sK4(X0,X1)) != u1_struct_0(sK4(X0,X1))
& m1_group_2(sK4(X0,X1),X0)
& v1_group_1(sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(X1) )
=> ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f188,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_group_1(sK4(X0,X1))
| k1_latsubgr(X0) = X1
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f189,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| m1_group_2(sK4(X0,X1),X0)
| k1_latsubgr(X0) = X1
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f190,plain,
! [X0,X1] :
( k1_funct_1(X1,sK4(X0,X1)) != u1_struct_0(sK4(X0,X1))
| k1_latsubgr(X0) = X1
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X2,X0)
| k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) = u1_struct_0(k9_group_2(X0,X1,X2))
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) = u1_struct_0(k9_group_2(X0,X1,X2))
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) = u1_struct_0(k9_group_2(X0,X1,X2))
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) = u1_struct_0(k9_group_2(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_latsubgr) ).
fof(f183,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f184,plain,
! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f185,plain,
! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f182,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k1_group_3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_group_3) ).
fof(f181,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f180,plain,
! [X0] :
( ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l1_group_1(X0)
=> ( v1_group_1(X0)
=> g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
fof(f177,plain,
! [X0] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) )
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( l1_group_1(X0)
=> ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_group_1) ).
fof(f178,plain,
! [X0] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f179,plain,
! [X0] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f176,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f174,plain,
! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f72,f129]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f175,plain,
! [X0] :
( ~ v1_xboole_0(sK3(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f173,plain,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).
fof(f172,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f171,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f168,plain,
v1_group_1(sK2),
inference(cnf_transformation,[],[f128]) ).
fof(f169,plain,
m1_group_2(sK2,sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f170,plain,
k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2)),
inference(cnf_transformation,[],[f128]) ).
fof(f1596,plain,
k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),u1_struct_0(sK2)),
inference(superposition,[],[f170,f1592]) ).
fof(f1592,plain,
k1_funct_1(k1_latsubgr(sK0),sK2) = u1_struct_0(sK2),
inference(subsumption_resolution,[],[f1591,f162]) ).
fof(f1591,plain,
( k1_funct_1(k1_latsubgr(sK0),sK2) = u1_struct_0(sK2)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1590,f163]) ).
fof(f1590,plain,
( k1_funct_1(k1_latsubgr(sK0),sK2) = u1_struct_0(sK2)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1589,f164]) ).
fof(f1589,plain,
( k1_funct_1(k1_latsubgr(sK0),sK2) = u1_struct_0(sK2)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1588,f165]) ).
fof(f1588,plain,
( k1_funct_1(k1_latsubgr(sK0),sK2) = u1_struct_0(sK2)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1576,f168]) ).
fof(f1576,plain,
( k1_funct_1(k1_latsubgr(sK0),sK2) = u1_struct_0(sK2)
| ~ v1_group_1(sK2)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f249,f169]) ).
fof(f3591,plain,
k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) = k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2)),
inference(forward_demodulation,[],[f3590,f2582]) ).
fof(f2582,plain,
k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2)) = u1_struct_0(k9_group_2(sK0,sK1,sK2)),
inference(forward_demodulation,[],[f2581,f1592]) ).
fof(f2581,plain,
k3_xboole_0(u1_struct_0(sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) = u1_struct_0(k9_group_2(sK0,sK1,sK2)),
inference(forward_demodulation,[],[f2580,f1802]) ).
fof(f1802,plain,
k9_group_2(sK0,sK1,sK2) = k9_group_2(sK0,sK2,sK1),
inference(resolution,[],[f1745,f169]) ).
fof(f1745,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| k9_group_2(sK0,X0,sK1) = k9_group_2(sK0,sK1,X0) ),
inference(subsumption_resolution,[],[f1744,f162]) ).
fof(f1744,plain,
! [X0] :
( k9_group_2(sK0,X0,sK1) = k9_group_2(sK0,sK1,X0)
| ~ m1_group_2(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1743,f163]) ).
fof(f1743,plain,
! [X0] :
( k9_group_2(sK0,X0,sK1) = k9_group_2(sK0,sK1,X0)
| ~ m1_group_2(X0,sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1742,f164]) ).
fof(f1742,plain,
! [X0] :
( k9_group_2(sK0,X0,sK1) = k9_group_2(sK0,sK1,X0)
| ~ m1_group_2(X0,sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1733,f165]) ).
fof(f1733,plain,
! [X0] :
( k9_group_2(sK0,X0,sK1) = k9_group_2(sK0,sK1,X0)
| ~ m1_group_2(X0,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f233,f167]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X2,X0)
| k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k9_group_2) ).
fof(f2580,plain,
k3_xboole_0(u1_struct_0(sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) = u1_struct_0(k9_group_2(sK0,sK2,sK1)),
inference(subsumption_resolution,[],[f2571,f168]) ).
fof(f2571,plain,
( k3_xboole_0(u1_struct_0(sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) = u1_struct_0(k9_group_2(sK0,sK2,sK1))
| ~ v1_group_1(sK2) ),
inference(resolution,[],[f2082,f169]) ).
fof(f2082,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| u1_struct_0(k9_group_2(sK0,X0,sK1)) = k3_xboole_0(u1_struct_0(sK1),k1_funct_1(k1_latsubgr(sK0),X0))
| ~ v1_group_1(X0) ),
inference(forward_demodulation,[],[f2081,f203]) ).
fof(f203,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f2081,plain,
! [X0] :
( u1_struct_0(k9_group_2(sK0,X0,sK1)) = k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),u1_struct_0(sK1))
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0) ),
inference(forward_demodulation,[],[f2080,f1587]) ).
fof(f2080,plain,
! [X0] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),k1_funct_1(k1_latsubgr(sK0),sK1)) = u1_struct_0(k9_group_2(sK0,X0,sK1))
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0) ),
inference(subsumption_resolution,[],[f2079,f162]) ).
fof(f2079,plain,
! [X0] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),k1_funct_1(k1_latsubgr(sK0),sK1)) = u1_struct_0(k9_group_2(sK0,X0,sK1))
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2078,f163]) ).
fof(f2078,plain,
! [X0] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),k1_funct_1(k1_latsubgr(sK0),sK1)) = u1_struct_0(k9_group_2(sK0,X0,sK1))
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2077,f164]) ).
fof(f2077,plain,
! [X0] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),k1_funct_1(k1_latsubgr(sK0),sK1)) = u1_struct_0(k9_group_2(sK0,X0,sK1))
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2076,f165]) ).
fof(f2076,plain,
! [X0] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),k1_funct_1(k1_latsubgr(sK0),sK1)) = u1_struct_0(k9_group_2(sK0,X0,sK1))
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f2066,f166]) ).
fof(f2066,plain,
! [X0] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),k1_funct_1(k1_latsubgr(sK0),sK1)) = u1_struct_0(k9_group_2(sK0,X0,sK1))
| ~ v1_group_1(sK1)
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f186,f167]) ).
fof(f3590,plain,
k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) = u1_struct_0(k9_group_2(sK0,sK1,sK2)),
inference(forward_demodulation,[],[f3589,f1802]) ).
fof(f3589,plain,
u1_struct_0(k9_group_2(sK0,sK2,sK1)) = k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK2,sK1)),
inference(forward_demodulation,[],[f3579,f1656]) ).
fof(f1656,plain,
k9_group_2(sK0,sK2,sK1) = k8_group_2(sK0,sK2,sK1),
inference(resolution,[],[f1650,f169]) ).
fof(f1650,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| k9_group_2(sK0,X0,sK1) = k8_group_2(sK0,X0,sK1) ),
inference(subsumption_resolution,[],[f1649,f162]) ).
fof(f1649,plain,
! [X0] :
( k9_group_2(sK0,X0,sK1) = k8_group_2(sK0,X0,sK1)
| ~ m1_group_2(X0,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1648,f163]) ).
fof(f1648,plain,
! [X0] :
( k9_group_2(sK0,X0,sK1) = k8_group_2(sK0,X0,sK1)
| ~ m1_group_2(X0,sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1647,f164]) ).
fof(f1647,plain,
! [X0] :
( k9_group_2(sK0,X0,sK1) = k8_group_2(sK0,X0,sK1)
| ~ m1_group_2(X0,sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1639,f165]) ).
fof(f1639,plain,
! [X0] :
( k9_group_2(sK0,X0,sK1) = k8_group_2(sK0,X0,sK1)
| ~ m1_group_2(X0,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f232,f167]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X2,X0)
| k9_group_2(X0,X1,X2) = k8_group_2(X0,X1,X2)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( k9_group_2(X0,X1,X2) = k8_group_2(X0,X1,X2)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( k9_group_2(X0,X1,X2) = k8_group_2(X0,X1,X2)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> k9_group_2(X0,X1,X2) = k8_group_2(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_group_2) ).
fof(f3579,plain,
u1_struct_0(k8_group_2(sK0,sK2,sK1)) = k1_funct_1(k1_latsubgr(sK0),k8_group_2(sK0,sK2,sK1)),
inference(resolution,[],[f3566,f169]) ).
fof(f3566,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| u1_struct_0(k8_group_2(sK0,X0,sK1)) = k1_funct_1(k1_latsubgr(sK0),k8_group_2(sK0,X0,sK1)) ),
inference(subsumption_resolution,[],[f3565,f162]) ).
fof(f3565,plain,
! [X0] :
( v3_struct_0(sK0)
| u1_struct_0(k8_group_2(sK0,X0,sK1)) = k1_funct_1(k1_latsubgr(sK0),k8_group_2(sK0,X0,sK1))
| ~ m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f3564,f163]) ).
fof(f3564,plain,
! [X0] :
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| u1_struct_0(k8_group_2(sK0,X0,sK1)) = k1_funct_1(k1_latsubgr(sK0),k8_group_2(sK0,X0,sK1))
| ~ m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f3563,f164]) ).
fof(f3563,plain,
! [X0] :
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| u1_struct_0(k8_group_2(sK0,X0,sK1)) = k1_funct_1(k1_latsubgr(sK0),k8_group_2(sK0,X0,sK1))
| ~ m1_group_2(X0,sK0) ),
inference(subsumption_resolution,[],[f3542,f165]) ).
fof(f3542,plain,
! [X0] :
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| u1_struct_0(k8_group_2(sK0,X0,sK1)) = k1_funct_1(k1_latsubgr(sK0),k8_group_2(sK0,X0,sK1))
| ~ m1_group_2(X0,sK0) ),
inference(resolution,[],[f1593,f167]) ).
fof(f1593,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| u1_struct_0(k8_group_2(X0,X1,X2)) = k1_funct_1(k1_latsubgr(X0),k8_group_2(X0,X1,X2))
| ~ m1_group_2(X1,X0) ),
inference(subsumption_resolution,[],[f1581,f234]) ).
fof(f234,plain,
! [X2,X0,X1] :
( v1_group_1(k8_group_2(X0,X1,X2))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( m1_group_2(k8_group_2(X0,X1,X2),X0)
& v1_group_1(k8_group_2(X0,X1,X2)) )
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( m1_group_2(k8_group_2(X0,X1,X2),X0)
& v1_group_1(k8_group_2(X0,X1,X2)) )
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k8_group_2(X0,X1,X2),X0)
& v1_group_1(k8_group_2(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_group_2) ).
fof(f1581,plain,
! [X2,X0,X1] :
( u1_struct_0(k8_group_2(X0,X1,X2)) = k1_funct_1(k1_latsubgr(X0),k8_group_2(X0,X1,X2))
| ~ v1_group_1(k8_group_2(X0,X1,X2))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0) ),
inference(duplicate_literal_removal,[],[f1578]) ).
fof(f1578,plain,
! [X2,X0,X1] :
( u1_struct_0(k8_group_2(X0,X1,X2)) = k1_funct_1(k1_latsubgr(X0),k8_group_2(X0,X1,X2))
| ~ v1_group_1(k8_group_2(X0,X1,X2))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f249,f235]) ).
fof(f235,plain,
! [X2,X0,X1] :
( m1_group_2(k8_group_2(X0,X1,X2),X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP645+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:46:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (16874)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (16877)WARNING: value z3 for option sas not known
% 0.15/0.38 % (16878)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (16876)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (16879)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)
% 0.15/0.38 % (16880)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)
% 0.15/0.38 % (16877)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)
% 0.15/0.38 % (16875)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (16881)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.22/0.41 TRYING [1]
% 0.22/0.42 TRYING [4]
% 0.22/0.42 TRYING [2]
% 0.22/0.46 TRYING [3]
% 0.22/0.47 TRYING [5]
% 0.22/0.50 % (16877)First to succeed.
% 0.22/0.50 % (16877)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16874"
% 0.22/0.51 % (16877)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (16877)------------------------------
% 0.22/0.51 % (16877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.51 % (16877)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (16877)Memory used [KB]: 2563
% 0.22/0.51 % (16877)Time elapsed: 0.123 s
% 0.22/0.51 % (16877)Instructions burned: 256 (million)
% 0.22/0.51 % (16874)Success in time 0.113 s
%------------------------------------------------------------------------------