TSTP Solution File: GRP643+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP643+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_uns --cores 0 -t %d %s
% Computer : n020.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 16:17:30 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 16 unt; 0 def)
% Number of atoms : 438 ( 0 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 577 ( 221 ~; 226 |; 101 &)
% ( 5 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 84 ( 60 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f363,plain,
$false,
inference(avatar_sat_refutation,[],[f345,f351,f362]) ).
fof(f362,plain,
spl19_6,
inference(avatar_contradiction_clause,[],[f361]) ).
fof(f361,plain,
( $false
| spl19_6 ),
inference(subsumption_resolution,[],[f360,f178]) ).
fof(f178,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( l1_group_1(sK0)
& ~ v3_struct_0(sK0)
& v4_group_1(sK0)
& v1_group_1(sK1)
& m1_subset_1(sK2,u1_struct_0(sK0))
& ~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_group_2(sK1,sK0)
& v3_group_1(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f114,f125,f124,f123,f122]) ).
fof(f122,plain,
( ? [X0] :
( l1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& ? [X1] :
( v1_group_1(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1)) ) )
& m1_group_2(X1,X0) )
& v3_group_1(X0) )
=> ( l1_group_1(sK0)
& ~ v3_struct_0(sK0)
& v4_group_1(sK0)
& ? [X1] :
( v1_group_1(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK0))
& ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
& m1_subset_1(X3,u1_struct_0(sK0))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),X1)) ) )
& m1_group_2(X1,sK0) )
& v3_group_1(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ? [X1] :
( v1_group_1(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK0))
& ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),X1))
& m1_subset_1(X3,u1_struct_0(sK0))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),X1)) ) )
& m1_group_2(X1,sK0) )
=> ( v1_group_1(sK1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK0))
& ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1)) ) )
& m1_group_2(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK0))
& ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,X2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1)) ) )
=> ( m1_subset_1(sK2,u1_struct_0(sK0))
& ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,sK2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK0,sK2,X3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(X3,u1_struct_0(sK0))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK0),sK1)) )
=> ( ~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1))
& r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
? [X0] :
( l1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& ? [X1] :
( v1_group_1(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1)) ) )
& m1_group_2(X1,X0) )
& v3_group_1(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v3_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
=> r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v3_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
=> r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_latsubgr) ).
fof(f360,plain,
( v3_struct_0(sK0)
| spl19_6 ),
inference(subsumption_resolution,[],[f359,f172]) ).
fof(f172,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f126]) ).
fof(f359,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| v3_struct_0(sK0)
| spl19_6 ),
inference(subsumption_resolution,[],[f358,f177]) ).
fof(f177,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f358,plain,
( ~ v4_group_1(sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| v3_struct_0(sK0)
| spl19_6 ),
inference(subsumption_resolution,[],[f357,f170]) ).
fof(f170,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f357,plain,
( ~ m1_group_2(sK1,sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v4_group_1(sK0)
| spl19_6 ),
inference(subsumption_resolution,[],[f356,f324]) ).
fof(f324,plain,
r1_rlvect_1(sK1,sK3),
inference(subsumption_resolution,[],[f323,f169]) ).
fof(f169,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f323,plain,
( r1_rlvect_1(sK1,sK3)
| ~ v3_group_1(sK0) ),
inference(subsumption_resolution,[],[f322,f179]) ).
fof(f179,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f322,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| r1_rlvect_1(sK1,sK3) ),
inference(subsumption_resolution,[],[f321,f170]) ).
fof(f321,plain,
( ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| r1_rlvect_1(sK1,sK3) ),
inference(subsumption_resolution,[],[f320,f172]) ).
fof(f320,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| r1_rlvect_1(sK1,sK3)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ v3_group_1(sK0) ),
inference(subsumption_resolution,[],[f319,f178]) ).
fof(f319,plain,
( v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| r1_rlvect_1(sK1,sK3)
| ~ v3_group_1(sK0) ),
inference(subsumption_resolution,[],[f318,f177]) ).
fof(f318,plain,
( r1_rlvect_1(sK1,sK3)
| ~ v4_group_1(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ v3_group_1(sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f308,f176]) ).
fof(f176,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f126]) ).
fof(f308,plain,
( ~ v1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| r1_rlvect_1(sK1,sK3)
| ~ m1_group_2(sK1,sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f226,f171]) ).
fof(f171,plain,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f126]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| r1_rlvect_1(X1,X2)
| ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2) )
& ( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ v4_group_1(X0) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ v4_group_1(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(f356,plain,
( ~ r1_rlvect_1(sK1,sK3)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| spl19_6 ),
inference(subsumption_resolution,[],[f355,f179]) ).
fof(f355,plain,
( ~ l1_group_1(sK0)
| ~ r1_rlvect_1(sK1,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v4_group_1(sK0)
| spl19_6 ),
inference(subsumption_resolution,[],[f354,f169]) ).
fof(f354,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ r1_rlvect_1(sK1,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| spl19_6 ),
inference(subsumption_resolution,[],[f353,f175]) ).
fof(f175,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f126]) ).
fof(f353,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ r1_rlvect_1(sK1,sK3)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| spl19_6 ),
inference(subsumption_resolution,[],[f352,f317]) ).
fof(f317,plain,
r1_rlvect_1(sK1,sK2),
inference(subsumption_resolution,[],[f316,f175]) ).
fof(f316,plain,
( r1_rlvect_1(sK1,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f315,f176]) ).
fof(f315,plain,
( r1_rlvect_1(sK1,sK2)
| ~ v1_group_1(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f314,f178]) ).
fof(f314,plain,
( v3_struct_0(sK0)
| ~ v1_group_1(sK1)
| r1_rlvect_1(sK1,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f313,f170]) ).
fof(f313,plain,
( ~ m1_group_2(sK1,sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| r1_rlvect_1(sK1,sK2)
| ~ v1_group_1(sK1) ),
inference(subsumption_resolution,[],[f312,f179]) ).
fof(f312,plain,
( ~ l1_group_1(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v1_group_1(sK1)
| r1_rlvect_1(sK1,sK2) ),
inference(subsumption_resolution,[],[f311,f169]) ).
fof(f311,plain,
( ~ v3_group_1(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| r1_rlvect_1(sK1,sK2)
| ~ l1_group_1(sK0)
| ~ v1_group_1(sK1)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f309,f177]) ).
fof(f309,plain,
( r1_rlvect_1(sK1,sK2)
| ~ v4_group_1(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_1(sK1)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ v3_group_1(sK0) ),
inference(resolution,[],[f226,f173]) ).
fof(f173,plain,
r2_hidden(sK2,k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f126]) ).
fof(f352,plain,
( ~ r1_rlvect_1(sK1,sK2)
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ r1_rlvect_1(sK1,sK3)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(sK1,sK0)
| ~ v4_group_1(sK0)
| spl19_6 ),
inference(resolution,[],[f344,f241]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ m1_group_2(X3,X0)
| ~ r1_rlvect_1(X3,X2)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ r1_rlvect_1(X3,X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ r1_rlvect_1(X3,X2)
| r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ m1_group_2(X3,X0)
| ~ r1_rlvect_1(X3,X1) ) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_group_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_group_2(X3,X0)
=> ( ( r1_rlvect_1(X3,X1)
& r1_rlvect_1(X3,X2) )
=> r1_rlvect_1(X3,k1_group_1(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_group_2) ).
fof(f344,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| spl19_6 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl19_6
<=> r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).
fof(f351,plain,
spl19_5,
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f350,plain,
( $false
| spl19_5 ),
inference(subsumption_resolution,[],[f349,f178]) ).
fof(f349,plain,
( v3_struct_0(sK0)
| spl19_5 ),
inference(subsumption_resolution,[],[f348,f172]) ).
fof(f348,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| v3_struct_0(sK0)
| spl19_5 ),
inference(subsumption_resolution,[],[f347,f179]) ).
fof(f347,plain,
( ~ l1_group_1(sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| v3_struct_0(sK0)
| spl19_5 ),
inference(subsumption_resolution,[],[f346,f175]) ).
fof(f346,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| spl19_5 ),
inference(resolution,[],[f340,f195]) ).
fof(f195,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_group_1(X0,X2,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ~ l1_group_1(X0)
| m1_subset_1(k1_group_1(X0,X2,X1),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X1,X2,X0] :
( ~ l1_group_1(X1)
| m1_subset_1(k1_group_1(X1,X0,X2),u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_group_1(X1,X0,X2),u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ( m1_subset_1(X0,u1_struct_0(X1))
& l1_group_1(X1)
& ~ v3_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k1_group_1(X1,X0,X2),u1_struct_0(X1)) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0,X2] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_group_1) ).
fof(f340,plain,
( ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| spl19_5 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f338,plain,
( spl19_5
<=> m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).
fof(f345,plain,
( ~ spl19_5
| ~ spl19_6 ),
inference(avatar_split_clause,[],[f336,f342,f338]) ).
fof(f336,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f335,f179]) ).
fof(f335,plain,
( ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ l1_group_1(sK0) ),
inference(subsumption_resolution,[],[f334,f177]) ).
fof(f334,plain,
( ~ v4_group_1(sK0)
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ l1_group_1(sK0) ),
inference(subsumption_resolution,[],[f333,f169]) ).
fof(f333,plain,
( ~ v3_group_1(sK0)
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3)) ),
inference(subsumption_resolution,[],[f332,f178]) ).
fof(f332,plain,
( v3_struct_0(sK0)
| ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(subsumption_resolution,[],[f331,f170]) ).
fof(f331,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f325,f176]) ).
fof(f325,plain,
( ~ r1_rlvect_1(sK1,k1_group_1(sK0,sK2,sK3))
| ~ v1_group_1(sK1)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(k1_group_1(sK0,sK2,sK3),u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f227,f174]) ).
fof(f174,plain,
~ r2_hidden(k1_group_1(sK0,sK2,sK3),k1_funct_1(k1_latsubgr(sK0),sK1)),
inference(cnf_transformation,[],[f126]) ).
fof(f227,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ v1_group_1(X1)
| ~ v4_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v3_group_1(X0)
| ~ r1_rlvect_1(X1,X2)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP643+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_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:41:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 % (18598)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.49 % (18614)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49 % (18614)First to succeed.
% 0.20/0.50 % (18614)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (18614)------------------------------
% 0.20/0.50 % (18614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (18614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (18614)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (18614)Memory used [KB]: 6140
% 0.20/0.50 % (18614)Time elapsed: 0.077 s
% 0.20/0.50 % (18614)Instructions burned: 7 (million)
% 0.20/0.50 % (18614)------------------------------
% 0.20/0.50 % (18614)------------------------------
% 0.20/0.50 % (18588)Success in time 0.144 s
%------------------------------------------------------------------------------