TSTP Solution File: GRP640+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP640+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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:10:06 EDT 2024
% Result : Theorem 2.04s 0.64s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 12 unt; 0 def)
% Number of atoms : 472 ( 60 equ)
% Maximal formula atoms : 32 ( 8 avg)
% Number of connectives : 628 ( 213 ~; 205 |; 179 &)
% ( 3 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 127 ( 79 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7907,plain,
$false,
inference(trivial_inequality_removal,[],[f7897]) ).
fof(f7897,plain,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5))),
inference(superposition,[],[f180,f7892]) ).
fof(f7892,plain,
k8_group_4(sK0,sK2,sK3) = k5_group_4(sK0,sK5),
inference(subsumption_resolution,[],[f7891,f165]) ).
fof(f165,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = sK5
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0)))
& m2_relset_1(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK4)
& m1_group_2(sK3,sK0)
& m1_group_2(sK2,sK0)
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(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,sK3,sK4,sK5])],[f72,f133,f132,f131,f130,f129,f128]) ).
fof(f128,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
& m1_group_2(X2,sK0) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
& m1_group_2(X2,sK0) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
& m1_group_2(X2,sK0) )
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
& m1_group_2(X2,sK0) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,X3)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
& m1_group_2(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,X3)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
& m1_group_2(X3,sK0) )
=> ( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,sK3)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
& m1_group_2(sK3,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,sK3)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4) )
=> ( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
& m2_relset_1(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X5] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0))) )
=> ( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = sK5
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(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] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
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] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_latsubgr) ).
fof(f7891,plain,
( v3_struct_0(sK0)
| k8_group_4(sK0,sK2,sK3) = k5_group_4(sK0,sK5) ),
inference(subsumption_resolution,[],[f7890,f166]) ).
fof(f166,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f7890,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| k8_group_4(sK0,sK2,sK3) = k5_group_4(sK0,sK5) ),
inference(subsumption_resolution,[],[f7889,f167]) ).
fof(f167,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f7889,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| k8_group_4(sK0,sK2,sK3) = k5_group_4(sK0,sK5) ),
inference(subsumption_resolution,[],[f7888,f168]) ).
fof(f168,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f7888,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| k8_group_4(sK0,sK2,sK3) = k5_group_4(sK0,sK5) ),
inference(subsumption_resolution,[],[f7887,f173]) ).
fof(f173,plain,
m1_group_2(sK2,sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f7887,plain,
( ~ m1_group_2(sK2,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| k8_group_4(sK0,sK2,sK3) = k5_group_4(sK0,sK5) ),
inference(subsumption_resolution,[],[f7885,f174]) ).
fof(f174,plain,
m1_group_2(sK3,sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f7885,plain,
( ~ m1_group_2(sK3,sK0)
| ~ m1_group_2(sK2,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| k8_group_4(sK0,sK2,sK3) = k5_group_4(sK0,sK5) ),
inference(resolution,[],[f3869,f178]) ).
fof(f178,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f134]) ).
fof(f3869,plain,
! [X0] :
( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK3,X0)
| ~ m1_group_2(sK2,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k5_group_4(X0,sK5) = k8_group_4(X0,sK2,sK3) ),
inference(subsumption_resolution,[],[f3868,f242]) ).
fof(f242,plain,
! [X2,X0,X1] :
( v1_group_1(k8_group_4(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,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( m1_group_2(k8_group_4(X0,X1,X2),X0)
& v1_group_1(k8_group_4(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,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( m1_group_2(k8_group_4(X0,X1,X2),X0)
& v1_group_1(k8_group_4(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,[],[f56]) ).
fof(f56,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_4(X0,X1,X2),X0)
& v1_group_1(k8_group_4(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_group_4) ).
fof(f3868,plain,
! [X0] :
( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK3,X0)
| ~ m1_group_2(sK2,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k5_group_4(X0,sK5) = k8_group_4(X0,sK2,sK3)
| ~ v1_group_1(k8_group_4(X0,sK2,sK3)) ),
inference(subsumption_resolution,[],[f3867,f243]) ).
fof(f243,plain,
! [X2,X0,X1] :
( m1_group_2(k8_group_4(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,[],[f120]) ).
fof(f3867,plain,
! [X0] :
( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK3,X0)
| ~ m1_group_2(sK2,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k5_group_4(X0,sK5) = k8_group_4(X0,sK2,sK3)
| ~ m1_group_2(k8_group_4(X0,sK2,sK3),X0)
| ~ v1_group_1(k8_group_4(X0,sK2,sK3)) ),
inference(subsumption_resolution,[],[f3866,f215]) ).
fof(f215,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_group_2(k5_group_4(X0,X1),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k5_group_4(X0,X1),X0)
& v1_group_1(k5_group_4(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f3866,plain,
! [X0] :
( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK3,X0)
| ~ m1_group_2(sK2,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k5_group_4(X0,sK5) = k8_group_4(X0,sK2,sK3)
| ~ m1_group_2(k5_group_4(X0,sK5),X0)
| ~ m1_group_2(k8_group_4(X0,sK2,sK3),X0)
| ~ v1_group_1(k8_group_4(X0,sK2,sK3)) ),
inference(subsumption_resolution,[],[f3860,f214]) ).
fof(f214,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_group_1(k5_group_4(X0,X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f3860,plain,
! [X0] :
( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK3,X0)
| ~ m1_group_2(sK2,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k5_group_4(X0,sK5) = k8_group_4(X0,sK2,sK3)
| ~ m1_group_2(k5_group_4(X0,sK5),X0)
| ~ v1_group_1(k5_group_4(X0,sK5))
| ~ m1_group_2(k8_group_4(X0,sK2,sK3),X0)
| ~ v1_group_1(k8_group_4(X0,sK2,sK3)) ),
inference(duplicate_literal_removal,[],[f3859]) ).
fof(f3859,plain,
! [X0] :
( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK3,X0)
| ~ m1_group_2(sK2,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k5_group_4(X0,sK5) = k8_group_4(X0,sK2,sK3)
| ~ m1_group_2(k5_group_4(X0,sK5),X0)
| ~ v1_group_1(k5_group_4(X0,sK5))
| ~ m1_group_2(k8_group_4(X0,sK2,sK3),X0)
| ~ v1_group_1(k8_group_4(X0,sK2,sK3))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f1744,f240]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ r1_group_2(X0,X1,X2)
| 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(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ( ( r1_group_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_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(nnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> 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,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> 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,[],[f51]) ).
fof(f51,axiom,
! [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) )
=> ( r1_group_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
fof(f1744,plain,
! [X0] :
( r1_group_2(X0,k8_group_4(X0,sK2,sK3),k5_group_4(X0,sK5))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK3,X0)
| ~ m1_group_2(sK2,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(forward_demodulation,[],[f1729,f179]) ).
fof(f179,plain,
k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = sK5,
inference(cnf_transformation,[],[f134]) ).
fof(f1729,plain,
! [X0] :
( r1_group_2(X0,k8_group_4(X0,sK2,sK3),k5_group_4(X0,sK5))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK3,X0)
| ~ m1_group_2(sK2,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(superposition,[],[f256,f179]) ).
fof(f256,plain,
! [X2,X0,X1] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_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(equality_resolution,[],[f195]) ).
fof(f195,plain,
! [X2,X3,X0,X1] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_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(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_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(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_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(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) = X3
=> r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_latsubgr) ).
fof(f180,plain,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5))),
inference(cnf_transformation,[],[f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP640+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:46:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (1821)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (1824)WARNING: value z3 for option sas not known
% 0.15/0.37 % (1824)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)
% 0.15/0.37 % (1822)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (1827)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)
% 0.15/0.37 % (1823)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (1828)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)
% 0.15/0.37 % (1826)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)
% 0.15/0.37 % (1825)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.41 TRYING [4]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.44 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.47 TRYING [5]
% 0.21/0.50 TRYING [5]
% 0.21/0.52 TRYING [4]
% 0.21/0.57 TRYING [6]
% 1.89/0.62 TRYING [6]
% 2.04/0.64 % (1824)First to succeed.
% 2.04/0.64 % (1824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1821"
% 2.04/0.64 % (1824)Refutation found. Thanks to Tanya!
% 2.04/0.64 % SZS status Theorem for theBenchmark
% 2.04/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.64 % (1824)------------------------------
% 2.04/0.64 % (1824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.04/0.64 % (1824)Termination reason: Refutation
% 2.04/0.64
% 2.04/0.64 % (1824)Memory used [KB]: 4643
% 2.04/0.64 % (1824)Time elapsed: 0.270 s
% 2.04/0.64 % (1824)Instructions burned: 810 (million)
% 2.04/0.64 % (1821)Success in time 0.277 s
%------------------------------------------------------------------------------