TSTP Solution File: GRP623+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP623+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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:17:02 EDT 2022
% Result : Theorem 0.14s 0.50s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of formulae : 114 ( 14 unt; 0 def)
% Number of atoms : 384 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 439 ( 169 ~; 170 |; 62 &)
% ( 19 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 13 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 128 ( 122 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f894,plain,
$false,
inference(avatar_sat_refutation,[],[f398,f402,f406,f410,f420,f432,f438,f508,f675,f729,f829,f886,f893]) ).
fof(f893,plain,
( ~ spl23_19
| ~ spl23_32 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f888,plain,
( $false
| ~ spl23_19
| ~ spl23_32 ),
inference(unit_resulting_resolution,[],[f419,f534,f281]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X2,X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& v1_fraenkel(X0) )
| ~ m1_fraenkel(X0,X2,X1) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X0,X2,X1] :
( ( ~ v1_xboole_0(X0)
& v1_fraenkel(X0) )
| ~ m1_fraenkel(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1,X0,X2] :
( m1_fraenkel(X0,X1,X2)
=> ( ~ v1_xboole_0(X0)
& v1_fraenkel(X0) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X2,X0,X1] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f534,plain,
( v1_xboole_0(k1_autgroup(sK5))
| ~ spl23_32 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f533,plain,
( spl23_32
<=> v1_xboole_0(k1_autgroup(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_32])]) ).
fof(f419,plain,
( m1_fraenkel(k1_autgroup(sK5),u1_struct_0(sK5),u1_struct_0(sK5))
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl23_19
<=> m1_fraenkel(k1_autgroup(sK5),u1_struct_0(sK5),u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f886,plain,
( spl23_33
| ~ spl23_68 ),
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f883,plain,
( $false
| spl23_33
| ~ spl23_68 ),
inference(unit_resulting_resolution,[],[f460,f537,f828]) ).
fof(f828,plain,
( ! [X0] :
( m1_subset_1(X0,k1_autgroup(sK5))
| ~ m1_subset_1(X0,k4_autgroup(sK5)) )
| ~ spl23_68 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f827,plain,
( spl23_68
<=> ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK5))
| m1_subset_1(X0,k1_autgroup(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_68])]) ).
fof(f537,plain,
( ~ m1_subset_1(sK14(k4_autgroup(sK5),k1_autgroup(sK5)),k1_autgroup(sK5))
| spl23_33 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl23_33
<=> m1_subset_1(sK14(k4_autgroup(sK5),k1_autgroup(sK5)),k1_autgroup(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_33])]) ).
fof(f460,plain,
m1_subset_1(sK14(k4_autgroup(sK5),k1_autgroup(sK5)),k4_autgroup(sK5)),
inference(resolution,[],[f261,f342]) ).
fof(f342,plain,
r2_hidden(sK14(k4_autgroup(sK5),k1_autgroup(sK5)),k4_autgroup(sK5)),
inference(resolution,[],[f275,f221]) ).
fof(f221,plain,
~ r1_tarski(k4_autgroup(sK5),k1_autgroup(sK5)),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( l1_group_1(sK5)
& v3_group_1(sK5)
& ~ r1_tarski(k4_autgroup(sK5),k1_autgroup(sK5))
& ~ v3_struct_0(sK5)
& v4_group_1(sK5)
& v1_group_1(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f104,f153]) ).
fof(f153,plain,
( ? [X0] :
( l1_group_1(X0)
& v3_group_1(X0)
& ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0))
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& v1_group_1(X0) )
=> ( l1_group_1(sK5)
& v3_group_1(sK5)
& ~ r1_tarski(k4_autgroup(sK5),k1_autgroup(sK5))
& ~ v3_struct_0(sK5)
& v4_group_1(sK5)
& v1_group_1(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0] :
( l1_group_1(X0)
& v3_group_1(X0)
& ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0))
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& v1_group_1(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0))
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0) )
=> r1_tarski(k4_autgroup(X0),k1_autgroup(X0)) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0) )
=> r1_tarski(k4_autgroup(X0),k1_autgroup(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_autgroup) ).
fof(f275,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(sK14(X0,X1),X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1] :
( ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK14(X0,X1),X1)
& r2_hidden(sK14(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f182,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) )
=> ( ~ r2_hidden(sK14(X0,X1),X1)
& r2_hidden(sK14(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X0,X1] :
( ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) ) ),
inference(rectify,[],[f181]) ).
fof(f181,plain,
! [X1,X0] :
( ( ! [X2] :
( r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) )
| ~ r1_tarski(X1,X0) )
& ( r1_tarski(X1,X0)
| ? [X2] :
( ~ r2_hidden(X2,X0)
& r2_hidden(X2,X1) ) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X1,X0] :
( ! [X2] :
( r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) )
<=> r1_tarski(X1,X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ! [X2] :
( r2_hidden(X2,X1)
=> r2_hidden(X2,X0) )
<=> r1_tarski(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f261,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X1,X0] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f829,plain,
( ~ spl23_15
| spl23_68
| spl23_28
| ~ spl23_48 ),
inference(avatar_split_clause,[],[f820,f673,f506,f827,f387]) ).
fof(f387,plain,
( spl23_15
<=> m1_fraenkel(k4_autgroup(sK5),u1_struct_0(sK5),u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f506,plain,
( spl23_28
<=> v1_xboole_0(u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f673,plain,
( spl23_48
<=> ! [X0] :
( m1_subset_1(X0,k1_autgroup(sK5))
| ~ m2_fraenkel(X0,u1_struct_0(sK5),u1_struct_0(sK5),k4_autgroup(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_48])]) ).
fof(f820,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(sK5))
| ~ m1_subset_1(X0,k4_autgroup(sK5))
| ~ m1_fraenkel(k4_autgroup(sK5),u1_struct_0(sK5),u1_struct_0(sK5))
| m1_subset_1(X0,k1_autgroup(sK5)) )
| ~ spl23_48 ),
inference(resolution,[],[f674,f260]) ).
fof(f260,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X1,X2,X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| ! [X3] :
( ( m2_fraenkel(X3,X1,X2,X0)
| ~ m1_subset_1(X3,X0) )
& ( m1_subset_1(X3,X0)
| ~ m2_fraenkel(X3,X1,X2,X0) ) ) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X1,X0,X2] :
( ~ m1_fraenkel(X1,X0,X2)
| v1_xboole_0(X2)
| ! [X3] :
( ( m2_fraenkel(X3,X0,X2,X1)
| ~ m1_subset_1(X3,X1) )
& ( m1_subset_1(X3,X1)
| ~ m2_fraenkel(X3,X0,X2,X1) ) ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X1,X0,X2] :
( ~ m1_fraenkel(X1,X0,X2)
| v1_xboole_0(X2)
| ! [X3] :
( m2_fraenkel(X3,X0,X2,X1)
<=> m1_subset_1(X3,X1) ) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X1,X0,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X2,X1)
<=> m1_subset_1(X3,X1) )
| v1_xboole_0(X2)
| ~ m1_fraenkel(X1,X0,X2) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X1,X0,X2] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X1,X0,X2) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X2,X1)
<=> m1_subset_1(X3,X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X0,X2,X1] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m1_subset_1(X3,X2)
<=> m2_fraenkel(X3,X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f674,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK5),u1_struct_0(sK5),k4_autgroup(sK5))
| m1_subset_1(X0,k1_autgroup(sK5)) )
| ~ spl23_48 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f729,plain,
( ~ spl23_33
| spl23_32 ),
inference(avatar_split_clause,[],[f728,f533,f536]) ).
fof(f728,plain,
( v1_xboole_0(k1_autgroup(sK5))
| ~ m1_subset_1(sK14(k4_autgroup(sK5),k1_autgroup(sK5)),k1_autgroup(sK5)) ),
inference(resolution,[],[f348,f310]) ).
fof(f310,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ( r2_hidden(X1,X0)
| v1_xboole_0(X0) ) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X1,X0] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f348,plain,
~ r2_hidden(sK14(k4_autgroup(sK5),k1_autgroup(sK5)),k1_autgroup(sK5)),
inference(resolution,[],[f276,f221]) ).
fof(f276,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK14(X0,X1),X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f675,plain,
( ~ spl23_19
| spl23_48
| spl23_28
| ~ spl23_21 ),
inference(avatar_split_clause,[],[f669,f436,f506,f673,f418]) ).
fof(f436,plain,
( spl23_21
<=> ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK5),u1_struct_0(sK5),k4_autgroup(sK5))
| m2_fraenkel(X0,u1_struct_0(sK5),u1_struct_0(sK5),k1_autgroup(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_21])]) ).
fof(f669,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(sK5))
| m1_subset_1(X0,k1_autgroup(sK5))
| ~ m1_fraenkel(k1_autgroup(sK5),u1_struct_0(sK5),u1_struct_0(sK5))
| ~ m2_fraenkel(X0,u1_struct_0(sK5),u1_struct_0(sK5),k4_autgroup(sK5)) )
| ~ spl23_21 ),
inference(resolution,[],[f259,f437]) ).
fof(f437,plain,
( ! [X0] :
( m2_fraenkel(X0,u1_struct_0(sK5),u1_struct_0(sK5),k1_autgroup(sK5))
| ~ m2_fraenkel(X0,u1_struct_0(sK5),u1_struct_0(sK5),k4_autgroup(sK5)) )
| ~ spl23_21 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f259,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X1,X2,X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2)
| m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f508,plain,
( ~ spl23_14
| ~ spl23_28 ),
inference(avatar_split_clause,[],[f497,f506,f384]) ).
fof(f384,plain,
( spl23_14
<=> l1_group_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f497,plain,
( ~ v1_xboole_0(u1_struct_0(sK5))
| ~ l1_group_1(sK5) ),
inference(resolution,[],[f332,f220]) ).
fof(f220,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f154]) ).
fof(f332,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(resolution,[],[f299,f309]) ).
fof(f309,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f299,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f438,plain,
( ~ spl23_18
| spl23_21
| ~ spl23_14
| spl23_17
| ~ spl23_16 ),
inference(avatar_split_clause,[],[f433,f390,f393,f384,f436,f396]) ).
fof(f396,plain,
( spl23_18
<=> v3_group_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f393,plain,
( spl23_17
<=> v3_struct_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f390,plain,
( spl23_16
<=> v1_group_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f433,plain,
! [X0] :
( ~ v1_group_1(sK5)
| v3_struct_0(sK5)
| ~ l1_group_1(sK5)
| ~ m2_fraenkel(X0,u1_struct_0(sK5),u1_struct_0(sK5),k4_autgroup(sK5))
| m2_fraenkel(X0,u1_struct_0(sK5),u1_struct_0(sK5),k1_autgroup(sK5))
| ~ v3_group_1(sK5) ),
inference(resolution,[],[f229,f219]) ).
fof(f219,plain,
v4_group_1(sK5),
inference(cnf_transformation,[],[f154]) ).
fof(f229,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f432,plain,
~ spl23_17,
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f430,plain,
( $false
| ~ spl23_17 ),
inference(resolution,[],[f394,f220]) ).
fof(f394,plain,
( v3_struct_0(sK5)
| ~ spl23_17 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f420,plain,
( spl23_19
| ~ spl23_16
| ~ spl23_14
| spl23_17
| ~ spl23_18 ),
inference(avatar_split_clause,[],[f415,f396,f393,f384,f390,f418]) ).
fof(f415,plain,
( ~ v3_group_1(sK5)
| v3_struct_0(sK5)
| ~ l1_group_1(sK5)
| ~ v1_group_1(sK5)
| m1_fraenkel(k1_autgroup(sK5),u1_struct_0(sK5),u1_struct_0(sK5)) ),
inference(resolution,[],[f284,f219]) ).
fof(f284,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ~ v4_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v1_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f410,plain,
spl23_16,
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| spl23_16 ),
inference(unit_resulting_resolution,[],[f218,f391]) ).
fof(f391,plain,
( ~ v1_group_1(sK5)
| spl23_16 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f218,plain,
v1_group_1(sK5),
inference(cnf_transformation,[],[f154]) ).
fof(f406,plain,
spl23_14,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| spl23_14 ),
inference(unit_resulting_resolution,[],[f223,f385]) ).
fof(f385,plain,
( ~ l1_group_1(sK5)
| spl23_14 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f223,plain,
l1_group_1(sK5),
inference(cnf_transformation,[],[f154]) ).
fof(f402,plain,
spl23_18,
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f400,plain,
( $false
| spl23_18 ),
inference(resolution,[],[f397,f222]) ).
fof(f222,plain,
v3_group_1(sK5),
inference(cnf_transformation,[],[f154]) ).
fof(f397,plain,
( ~ v3_group_1(sK5)
| spl23_18 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f398,plain,
( ~ spl23_14
| spl23_15
| ~ spl23_16
| spl23_17
| ~ spl23_18 ),
inference(avatar_split_clause,[],[f365,f396,f393,f390,f387,f384]) ).
fof(f365,plain,
( ~ v3_group_1(sK5)
| v3_struct_0(sK5)
| ~ v1_group_1(sK5)
| m1_fraenkel(k4_autgroup(sK5),u1_struct_0(sK5),u1_struct_0(sK5))
| ~ l1_group_1(sK5) ),
inference(resolution,[],[f230,f219]) ).
fof(f230,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP623+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29 % Computer : n006.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 29 22:34:10 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.45 % (873)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.45 % (872)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.46 % (876)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.14/0.46 % (868)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.46 % (868)Instruction limit reached!
% 0.14/0.46 % (868)------------------------------
% 0.14/0.46 % (868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (882)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)
% 0.14/0.46 % (865)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)
% 0.14/0.46 % (876)Refutation not found, incomplete strategy% (876)------------------------------
% 0.14/0.46 % (876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (868)Termination reason: Unknown
% 0.14/0.46 % (868)Termination phase: Saturation
% 0.14/0.46
% 0.14/0.46 % (868)Memory used [KB]: 6140
% 0.14/0.46 % (868)Time elapsed: 0.113 s
% 0.14/0.46 % (868)Instructions burned: 7 (million)
% 0.14/0.46 % (868)------------------------------
% 0.14/0.46 % (868)------------------------------
% 0.14/0.47 % (872)Instruction limit reached!
% 0.14/0.47 % (872)------------------------------
% 0.14/0.47 % (872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (864)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.47 % (885)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.47 % (876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (876)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.47
% 0.14/0.47 % (876)Memory used [KB]: 6012
% 0.14/0.47 % (876)Time elapsed: 0.114 s
% 0.14/0.47 % (876)Instructions burned: 5 (million)
% 0.14/0.47 % (876)------------------------------
% 0.14/0.47 % (876)------------------------------
% 0.14/0.47 % (872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (872)Termination reason: Unknown
% 0.14/0.47 % (872)Termination phase: Saturation
% 0.14/0.47
% 0.14/0.47 % (872)Memory used [KB]: 6140
% 0.14/0.47 % (872)Time elapsed: 0.110 s
% 0.14/0.47 % (872)Instructions burned: 7 (million)
% 0.14/0.47 % (872)------------------------------
% 0.14/0.47 % (872)------------------------------
% 0.14/0.48 % (881)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.14/0.49 % (858)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.14/0.49 % (858)Refutation not found, incomplete strategy% (858)------------------------------
% 0.14/0.49 % (858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (858)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.49
% 0.14/0.49 % (858)Memory used [KB]: 6012
% 0.14/0.49 % (858)Time elapsed: 0.138 s
% 0.14/0.49 % (858)Instructions burned: 2 (million)
% 0.14/0.49 % (858)------------------------------
% 0.14/0.49 % (858)------------------------------
% 0.14/0.49 % (885)First to succeed.
% 0.14/0.50 % (869)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.50 % (884)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.50 % (885)Refutation found. Thanks to Tanya!
% 0.14/0.50 % SZS status Theorem for theBenchmark
% 0.14/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.50 % (885)------------------------------
% 0.14/0.50 % (885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (885)Termination reason: Refutation
% 0.14/0.50
% 0.14/0.50 % (885)Memory used [KB]: 6524
% 0.14/0.50 % (885)Time elapsed: 0.148 s
% 0.14/0.50 % (885)Instructions burned: 24 (million)
% 0.14/0.50 % (885)------------------------------
% 0.14/0.50 % (885)------------------------------
% 0.14/0.50 % (856)Success in time 0.2 s
%------------------------------------------------------------------------------