TSTP Solution File: GRP643+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n025.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 16:23:17 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 85 ( 20 unt; 0 def)
% Number of atoms : 393 ( 0 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 475 ( 167 ~; 168 |; 101 &)
% ( 15 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 13 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 84 ( 60 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f548,plain,
$false,
inference(avatar_sat_refutation,[],[f385,f387,f389,f510,f512,f519,f521,f530,f539,f541,f543,f545,f547]) ).
fof(f547,plain,
( ~ spl19_31
| ~ spl19_28
| spl19_10
| ~ spl19_29
| ~ spl19_25
| ~ spl19_14
| ~ spl19_24
| ~ spl19_13
| ~ spl19_30
| spl19_27 ),
inference(avatar_split_clause,[],[f546,f507,f532,f372,f495,f376,f499,f527,f334,f523,f536]) ).
fof(f536,plain,
( spl19_31
<=> r1_rlvect_1(sK15,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_31])]) ).
fof(f523,plain,
( spl19_28
<=> r1_rlvect_1(sK15,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_28])]) ).
fof(f334,plain,
( spl19_10
<=> v3_struct_0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).
fof(f527,plain,
( spl19_29
<=> m1_subset_1(sK16,u1_struct_0(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_29])]) ).
fof(f499,plain,
( spl19_25
<=> m1_group_2(sK15,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_25])]) ).
fof(f376,plain,
( spl19_14
<=> v3_group_1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_14])]) ).
fof(f495,plain,
( spl19_24
<=> v4_group_1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_24])]) ).
fof(f372,plain,
( spl19_13
<=> l1_group_1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_13])]) ).
fof(f532,plain,
( spl19_30
<=> m1_subset_1(sK17,u1_struct_0(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_30])]) ).
fof(f507,plain,
( spl19_27
<=> r1_rlvect_1(sK15,k1_group_1(sK14,sK16,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_27])]) ).
fof(f546,plain,
( ~ m1_subset_1(sK17,u1_struct_0(sK14))
| ~ l1_group_1(sK14)
| ~ v4_group_1(sK14)
| ~ v3_group_1(sK14)
| ~ m1_group_2(sK15,sK14)
| ~ m1_subset_1(sK16,u1_struct_0(sK14))
| v3_struct_0(sK14)
| ~ r1_rlvect_1(sK15,sK16)
| ~ r1_rlvect_1(sK15,sK17)
| spl19_27 ),
inference(resolution,[],[f509,f224]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r1_rlvect_1(X3,X2)
| ~ l1_group_1(X0)
| ~ m1_group_2(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ v4_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ! [X3] :
( ~ r1_rlvect_1(X3,X2)
| ~ r1_rlvect_1(X3,X1)
| ~ m1_group_2(X3,X0)
| r1_rlvect_1(X3,k1_group_1(X0,X1,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,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)) )
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_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/sandbox2/benchmark/theBenchmark.p',t59_group_2) ).
fof(f509,plain,
( ~ r1_rlvect_1(sK15,k1_group_1(sK14,sK16,sK17))
| spl19_27 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f545,plain,
( ~ spl19_13
| ~ spl19_30
| ~ spl19_29
| spl19_10
| spl19_26 ),
inference(avatar_split_clause,[],[f544,f503,f334,f527,f532,f372]) ).
fof(f503,plain,
( spl19_26
<=> m1_subset_1(k1_group_1(sK14,sK16,sK17),u1_struct_0(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_26])]) ).
fof(f544,plain,
( v3_struct_0(sK14)
| ~ m1_subset_1(sK16,u1_struct_0(sK14))
| ~ m1_subset_1(sK17,u1_struct_0(sK14))
| ~ l1_group_1(sK14)
| spl19_26 ),
inference(resolution,[],[f505,f248]) ).
fof(f248,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
! [X0,X2,X1] :
( m1_subset_1(k1_group_1(X0,X2,X1),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_group_1(X0,X2,X1),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& ~ v3_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0) )
=> m1_subset_1(k1_group_1(X0,X2,X1),u1_struct_0(X0)) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X2,X1] :
( ( ~ v3_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(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/sandbox2/benchmark/theBenchmark.p',dt_k1_group_1) ).
fof(f505,plain,
( ~ m1_subset_1(k1_group_1(sK14,sK16,sK17),u1_struct_0(sK14))
| spl19_26 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f543,plain,
spl19_30,
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f542,plain,
( $false
| spl19_30 ),
inference(resolution,[],[f534,f239]) ).
fof(f239,plain,
m1_subset_1(sK17,u1_struct_0(sK14)),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( v4_group_1(sK14)
& l1_group_1(sK14)
& ~ v3_struct_0(sK14)
& v3_group_1(sK14)
& ~ r2_hidden(k1_group_1(sK14,sK16,sK17),k1_funct_1(k1_latsubgr(sK14),sK15))
& m1_subset_1(sK17,u1_struct_0(sK14))
& r2_hidden(sK16,k1_funct_1(k1_latsubgr(sK14),sK15))
& r2_hidden(sK17,k1_funct_1(k1_latsubgr(sK14),sK15))
& m1_subset_1(sK16,u1_struct_0(sK14))
& m1_group_2(sK15,sK14)
& v1_group_1(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f123,f168,f167,f166,f165]) ).
fof(f165,plain,
( ? [X0] :
( v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,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(sK14)
& l1_group_1(sK14)
& ~ v3_struct_0(sK14)
& v3_group_1(sK14)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK14,X2,X3),k1_funct_1(k1_latsubgr(sK14),X1))
& m1_subset_1(X3,u1_struct_0(sK14))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK14),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK14),X1)) )
& m1_subset_1(X2,u1_struct_0(sK14)) )
& m1_group_2(X1,sK14)
& v1_group_1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK14,X2,X3),k1_funct_1(k1_latsubgr(sK14),X1))
& m1_subset_1(X3,u1_struct_0(sK14))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK14),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK14),X1)) )
& m1_subset_1(X2,u1_struct_0(sK14)) )
& m1_group_2(X1,sK14)
& v1_group_1(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK14,X2,X3),k1_funct_1(k1_latsubgr(sK14),sK15))
& m1_subset_1(X3,u1_struct_0(sK14))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK14),sK15))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK14),sK15)) )
& m1_subset_1(X2,u1_struct_0(sK14)) )
& m1_group_2(sK15,sK14)
& v1_group_1(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK14,X2,X3),k1_funct_1(k1_latsubgr(sK14),sK15))
& m1_subset_1(X3,u1_struct_0(sK14))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK14),sK15))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK14),sK15)) )
& m1_subset_1(X2,u1_struct_0(sK14)) )
=> ( ? [X3] :
( ~ r2_hidden(k1_group_1(sK14,sK16,X3),k1_funct_1(k1_latsubgr(sK14),sK15))
& m1_subset_1(X3,u1_struct_0(sK14))
& r2_hidden(sK16,k1_funct_1(k1_latsubgr(sK14),sK15))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK14),sK15)) )
& m1_subset_1(sK16,u1_struct_0(sK14)) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
( ? [X3] :
( ~ r2_hidden(k1_group_1(sK14,sK16,X3),k1_funct_1(k1_latsubgr(sK14),sK15))
& m1_subset_1(X3,u1_struct_0(sK14))
& r2_hidden(sK16,k1_funct_1(k1_latsubgr(sK14),sK15))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(sK14),sK15)) )
=> ( ~ r2_hidden(k1_group_1(sK14,sK16,sK17),k1_funct_1(k1_latsubgr(sK14),sK15))
& m1_subset_1(sK17,u1_struct_0(sK14))
& r2_hidden(sK16,k1_funct_1(k1_latsubgr(sK14),sK15))
& r2_hidden(sK17,k1_funct_1(k1_latsubgr(sK14),sK15)) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
? [X0] :
( v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X0),X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_group_2(X1,X0)
& v1_group_1(X1) ) ),
inference(flattening,[],[f122]) ).
fof(f122,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_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(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_struct_0(X0)
& v3_group_1(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/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).
fof(f534,plain,
( ~ m1_subset_1(sK17,u1_struct_0(sK14))
| spl19_30 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f541,plain,
spl19_29,
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| spl19_29 ),
inference(resolution,[],[f529,f236]) ).
fof(f236,plain,
m1_subset_1(sK16,u1_struct_0(sK14)),
inference(cnf_transformation,[],[f169]) ).
fof(f529,plain,
( ~ m1_subset_1(sK16,u1_struct_0(sK14))
| spl19_29 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f539,plain,
( spl19_10
| ~ spl19_14
| ~ spl19_24
| ~ spl19_25
| ~ spl19_23
| ~ spl19_30
| spl19_31
| ~ spl19_13 ),
inference(avatar_split_clause,[],[f513,f372,f536,f532,f491,f499,f495,f376,f334]) ).
fof(f491,plain,
( spl19_23
<=> v1_group_1(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_23])]) ).
fof(f513,plain,
( ~ l1_group_1(sK14)
| r1_rlvect_1(sK15,sK17)
| ~ m1_subset_1(sK17,u1_struct_0(sK14))
| ~ v1_group_1(sK15)
| ~ m1_group_2(sK15,sK14)
| ~ v4_group_1(sK14)
| ~ v3_group_1(sK14)
| v3_struct_0(sK14) ),
inference(resolution,[],[f212,f237]) ).
fof(f237,plain,
r2_hidden(sK17,k1_funct_1(k1_latsubgr(sK14),sK15)),
inference(cnf_transformation,[],[f169]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| r1_rlvect_1(X1,X2)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ~ v1_group_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) )
& ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2) ) ) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ~ v1_group_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r1_rlvect_1(X1,X2)
<=> r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r1_rlvect_1(X1,X2)
<=> r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& v4_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))
=> ( r1_rlvect_1(X1,X2)
<=> r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(f530,plain,
( ~ spl19_24
| ~ spl19_25
| ~ spl19_23
| spl19_10
| ~ spl19_14
| spl19_28
| ~ spl19_13
| ~ spl19_29 ),
inference(avatar_split_clause,[],[f514,f527,f372,f523,f376,f334,f491,f499,f495]) ).
fof(f514,plain,
( ~ m1_subset_1(sK16,u1_struct_0(sK14))
| ~ l1_group_1(sK14)
| r1_rlvect_1(sK15,sK16)
| ~ v3_group_1(sK14)
| v3_struct_0(sK14)
| ~ v1_group_1(sK15)
| ~ m1_group_2(sK15,sK14)
| ~ v4_group_1(sK14) ),
inference(resolution,[],[f212,f238]) ).
fof(f238,plain,
r2_hidden(sK16,k1_funct_1(k1_latsubgr(sK14),sK15)),
inference(cnf_transformation,[],[f169]) ).
fof(f521,plain,
spl19_25,
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f520,plain,
( $false
| spl19_25 ),
inference(resolution,[],[f501,f235]) ).
fof(f235,plain,
m1_group_2(sK15,sK14),
inference(cnf_transformation,[],[f169]) ).
fof(f501,plain,
( ~ m1_group_2(sK15,sK14)
| spl19_25 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f519,plain,
spl19_24,
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f518,plain,
( $false
| spl19_24 ),
inference(resolution,[],[f497,f244]) ).
fof(f244,plain,
v4_group_1(sK14),
inference(cnf_transformation,[],[f169]) ).
fof(f497,plain,
( ~ v4_group_1(sK14)
| spl19_24 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f512,plain,
spl19_23,
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f511,plain,
( $false
| spl19_23 ),
inference(resolution,[],[f493,f234]) ).
fof(f234,plain,
v1_group_1(sK15),
inference(cnf_transformation,[],[f169]) ).
fof(f493,plain,
( ~ v1_group_1(sK15)
| spl19_23 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f510,plain,
( ~ spl19_14
| ~ spl19_23
| ~ spl19_24
| ~ spl19_25
| ~ spl19_26
| ~ spl19_27
| spl19_10
| ~ spl19_13 ),
inference(avatar_split_clause,[],[f489,f372,f334,f507,f503,f499,f495,f491,f376]) ).
fof(f489,plain,
( ~ l1_group_1(sK14)
| v3_struct_0(sK14)
| ~ r1_rlvect_1(sK15,k1_group_1(sK14,sK16,sK17))
| ~ m1_subset_1(k1_group_1(sK14,sK16,sK17),u1_struct_0(sK14))
| ~ m1_group_2(sK15,sK14)
| ~ v4_group_1(sK14)
| ~ v1_group_1(sK15)
| ~ v3_group_1(sK14) ),
inference(resolution,[],[f211,f240]) ).
fof(f240,plain,
~ r2_hidden(k1_group_1(sK14,sK16,sK17),k1_funct_1(k1_latsubgr(sK14),sK15)),
inference(cnf_transformation,[],[f169]) ).
fof(f211,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ r1_rlvect_1(X1,X2)
| ~ v4_group_1(X0)
| ~ v1_group_1(X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f389,plain,
~ spl19_10,
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl19_10 ),
inference(resolution,[],[f336,f242]) ).
fof(f242,plain,
~ v3_struct_0(sK14),
inference(cnf_transformation,[],[f169]) ).
fof(f336,plain,
( v3_struct_0(sK14)
| ~ spl19_10 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f387,plain,
spl19_14,
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f386,plain,
( $false
| spl19_14 ),
inference(resolution,[],[f378,f241]) ).
fof(f241,plain,
v3_group_1(sK14),
inference(cnf_transformation,[],[f169]) ).
fof(f378,plain,
( ~ v3_group_1(sK14)
| spl19_14 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f385,plain,
spl19_13,
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| spl19_13 ),
inference(resolution,[],[f374,f243]) ).
fof(f243,plain,
l1_group_1(sK14),
inference(cnf_transformation,[],[f169]) ).
fof(f374,plain,
( ~ l1_group_1(sK14)
| spl19_13 ),
inference(avatar_component_clause,[],[f372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP643+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:48:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (2400)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47 % (2408)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49 % (2416)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49 % (2398)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (2406)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (2401)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (2409)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (2410)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (2419)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (2414)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 % (2407)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (2411)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (2425)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51 % (2424)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51 % (2403)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (2397)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (2420)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (2398)Refutation not found, incomplete strategy% (2398)------------------------------
% 0.19/0.52 % (2398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (2398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (2398)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (2398)Memory used [KB]: 5628
% 0.19/0.52 % (2398)Time elapsed: 0.105 s
% 0.19/0.52 % (2398)Instructions burned: 5 (million)
% 0.19/0.52 % (2398)------------------------------
% 0.19/0.52 % (2398)------------------------------
% 0.19/0.52 % (2415)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (2405)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (2413)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (2402)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (2421)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (2407)First to succeed.
% 0.19/0.53 % (2399)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (2412)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (2417)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 % (2426)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54 % (2418)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (2404)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (2422)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (2405)Instruction limit reached!
% 0.19/0.54 % (2405)------------------------------
% 0.19/0.54 % (2405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (2405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (2405)Termination reason: Unknown
% 0.19/0.54 % (2405)Termination phase: Unused predicate definition removal
% 0.19/0.54
% 0.19/0.54 % (2405)Memory used [KB]: 895
% 0.19/0.54 % (2405)Time elapsed: 0.003 s
% 0.19/0.54 % (2405)Instructions burned: 2 (million)
% 0.19/0.54 % (2405)------------------------------
% 0.19/0.54 % (2405)------------------------------
% 0.19/0.54 % (2423)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (2407)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (2407)------------------------------
% 0.19/0.54 % (2407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (2407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (2407)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (2407)Memory used [KB]: 5756
% 0.19/0.54 % (2407)Time elapsed: 0.122 s
% 0.19/0.54 % (2407)Instructions burned: 12 (million)
% 0.19/0.54 % (2407)------------------------------
% 0.19/0.54 % (2407)------------------------------
% 0.19/0.54 % (2396)Success in time 0.194 s
%------------------------------------------------------------------------------