TSTP Solution File: GRP632+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP632+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 : n029.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 16:23:10 EDT 2022
% Result : Theorem 3.60s 0.90s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 28
% Syntax : Number of formulae : 192 ( 22 unt; 0 def)
% Number of atoms : 756 ( 93 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 936 ( 372 ~; 421 |; 106 &)
% ( 13 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 9 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-6 aty)
% Number of variables : 258 ( 250 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1905,plain,
$false,
inference(avatar_sat_refutation,[],[f435,f480,f582,f587,f590,f674,f793,f1897,f1904]) ).
fof(f1904,plain,
( spl25_2
| ~ spl25_7
| spl25_8
| ~ spl25_9
| ~ spl25_17
| ~ spl25_18
| ~ spl25_20 ),
inference(avatar_contradiction_clause,[],[f1903]) ).
fof(f1903,plain,
( $false
| spl25_2
| ~ spl25_7
| spl25_8
| ~ spl25_9
| ~ spl25_17
| ~ spl25_18
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f1902,f1839]) ).
fof(f1839,plain,
( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),sK9,k6_relat_1(u1_struct_0(sK8))) = sK9
| ~ spl25_7
| spl25_8
| ~ spl25_9
| ~ spl25_17
| ~ spl25_18
| ~ spl25_20 ),
inference(backward_demodulation,[],[f978,f1838]) ).
fof(f1838,plain,
( k5_relat_1(sK9,k6_relat_1(u1_struct_0(sK8))) = sK9
| ~ spl25_18
| ~ spl25_20 ),
inference(superposition,[],[f1549,f1811]) ).
fof(f1811,plain,
( ! [X2] : k7_relset_1(u1_struct_0(sK8),u1_struct_0(sK8),X2,X2,sK9,k6_relat_1(X2)) = k5_relat_1(sK9,k6_relat_1(X2))
| ~ spl25_20 ),
inference(resolution,[],[f1805,f789]) ).
fof(f789,plain,
! [X0] : m1_relset_1(k6_relat_1(X0),X0,X0),
inference(resolution,[],[f400,f423]) ).
fof(f423,plain,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(definition_unfolding,[],[f370,f304]) ).
fof(f304,plain,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f370,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( v1_partfun1(k6_partfun1(X0),X0,X0)
& m2_relset_1(k6_partfun1(X0),X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(f400,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X2,X0)
| m1_relset_1(X1,X2,X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X1,X2,X0)
| ~ m1_relset_1(X1,X2,X0) )
& ( m1_relset_1(X1,X2,X0)
| ~ m2_relset_1(X1,X2,X0) ) ),
inference(rectify,[],[f256]) ).
fof(f256,plain,
! [X1,X2,X0] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X1,X2,X0] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1805,plain,
( ! [X28,X29,X27] :
( ~ m1_relset_1(X27,X28,X29)
| k7_relset_1(u1_struct_0(sK8),u1_struct_0(sK8),X28,X29,sK9,X27) = k5_relat_1(sK9,X27) )
| ~ spl25_20 ),
inference(resolution,[],[f275,f704]) ).
fof(f704,plain,
( m1_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl25_20 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f703,plain,
( spl25_20
<=> m1_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_20])]) ).
fof(f275,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X4,X3,X2)
| ~ m1_relset_1(X0,X5,X1)
| k7_relset_1(X3,X2,X5,X1,X4,X0) = k5_relat_1(X4,X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X3,X2,X5,X1,X4,X0) = k5_relat_1(X4,X0)
| ~ m1_relset_1(X0,X5,X1)
| ~ m1_relset_1(X4,X3,X2) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
! [X1,X3,X4,X2,X0,X5] :
( k5_relat_1(X0,X1) = k7_relset_1(X2,X4,X5,X3,X0,X1)
| ~ m1_relset_1(X1,X5,X3)
| ~ m1_relset_1(X0,X2,X4) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X4,X0,X5,X2,X1,X3] :
( k5_relat_1(X0,X1) = k7_relset_1(X2,X4,X5,X3,X0,X1)
| ~ m1_relset_1(X1,X5,X3)
| ~ m1_relset_1(X0,X2,X4) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
! [X4,X0,X5,X2,X1,X3] :
( ( m1_relset_1(X1,X5,X3)
& m1_relset_1(X0,X2,X4) )
=> k5_relat_1(X0,X1) = k7_relset_1(X2,X4,X5,X3,X0,X1) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X4,X5,X0,X3,X1,X2] :
( ( m1_relset_1(X5,X2,X3)
& m1_relset_1(X4,X0,X1) )
=> k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(f1549,plain,
( k7_relset_1(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),sK9,k6_relat_1(u1_struct_0(sK8))) = sK9
| ~ spl25_18 ),
inference(resolution,[],[f420,f586]) ).
fof(f586,plain,
( m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl25_18 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f584,plain,
( spl25_18
<=> m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_18])]) ).
fof(f420,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X2)
| k7_relset_1(X0,X2,X2,X2,X1,k6_relat_1(X2)) = X1 ),
inference(definition_unfolding,[],[f347,f304]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X2)
| k7_relset_1(X0,X2,X2,X2,X1,k6_partfun1(X2)) = X1 ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X1,X0,X2)
| ( k7_relset_1(X0,X2,X2,X2,X1,k6_partfun1(X2)) = X1
& k7_relset_1(X0,X0,X0,X2,k6_partfun1(X0),X1) = X1 ) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X1,X2,X0] :
( ~ m2_relset_1(X2,X1,X0)
| ( k7_relset_1(X1,X0,X0,X0,X2,k6_partfun1(X0)) = X2
& k7_relset_1(X1,X1,X1,X0,k6_partfun1(X1),X2) = X2 ) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X2,X1,X0] :
( m2_relset_1(X2,X1,X0)
=> ( k7_relset_1(X1,X0,X0,X0,X2,k6_partfun1(X0)) = X2
& k7_relset_1(X1,X1,X1,X0,k6_partfun1(X1),X2) = X2 ) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X1,X0,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_2) ).
fof(f978,plain,
( k5_relat_1(sK9,k6_relat_1(u1_struct_0(sK8))) = k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),sK9,k6_relat_1(u1_struct_0(sK8)))
| ~ spl25_7
| spl25_8
| ~ spl25_9
| ~ spl25_17
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f977,f333]) ).
fof(f333,plain,
! [X0] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( v3_relat_2(k6_relat_1(X0))
& v8_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( v1_relat_2(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v8_relat_2(k6_relat_1(X0))
& v4_relat_2(k6_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_partfun1) ).
fof(f977,plain,
( ~ v1_funct_1(k6_relat_1(u1_struct_0(sK8)))
| k5_relat_1(sK9,k6_relat_1(u1_struct_0(sK8))) = k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),sK9,k6_relat_1(u1_struct_0(sK8)))
| ~ spl25_7
| spl25_8
| ~ spl25_9
| ~ spl25_17
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f972,f789]) ).
fof(f972,plain,
( k5_relat_1(sK9,k6_relat_1(u1_struct_0(sK8))) = k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),sK9,k6_relat_1(u1_struct_0(sK8)))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK8)))
| ~ spl25_7
| spl25_8
| ~ spl25_9
| ~ spl25_17
| ~ spl25_20 ),
inference(resolution,[],[f918,f696]) ).
fof(f696,plain,
( v1_funct_2(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl25_7
| spl25_8 ),
inference(subsumption_resolution,[],[f695,f470]) ).
fof(f470,plain,
( m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl25_7
<=> m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).
fof(f695,plain,
( ~ m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| v1_funct_2(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8))
| spl25_8 ),
inference(subsumption_resolution,[],[f690,f474]) ).
fof(f474,plain,
( ~ v1_xboole_0(u1_struct_0(sK8))
| spl25_8 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f473,plain,
( spl25_8
<=> v1_xboole_0(u1_struct_0(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).
fof(f690,plain,
( v1_xboole_0(u1_struct_0(sK8))
| ~ m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| v1_funct_2(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8)) ),
inference(resolution,[],[f688,f372]) ).
fof(f372,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X1,X2,X0)
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2)
| v1_funct_2(X3,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1,X2] :
( ! [X3] :
( ~ m2_fraenkel(X3,X1,X2,X0)
| ( v1_funct_1(X3)
& m2_relset_1(X3,X1,X2)
& v1_funct_2(X3,X1,X2) ) )
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(rectify,[],[f178]) ).
fof(f178,plain,
! [X2,X1,X0] :
( ! [X3] :
( ~ m2_fraenkel(X3,X1,X0,X2)
| ( v1_funct_1(X3)
& m2_relset_1(X3,X1,X0)
& v1_funct_2(X3,X1,X0) ) )
| ~ m1_fraenkel(X2,X1,X0)
| v1_xboole_0(X0) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X2,X1,X0] :
( ! [X3] :
( ~ m2_fraenkel(X3,X1,X0,X2)
| ( v1_funct_1(X3)
& m2_relset_1(X3,X1,X0)
& v1_funct_2(X3,X1,X0) ) )
| ~ m1_fraenkel(X2,X1,X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X2,X1,X0] :
( ( m1_fraenkel(X2,X1,X0)
& ~ v1_xboole_0(X0) )
=> ! [X3] :
( m2_fraenkel(X3,X1,X0,X2)
=> ( v1_funct_1(X3)
& m2_relset_1(X3,X1,X0)
& v1_funct_2(X3,X1,X0) ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( v1_funct_1(X3)
& m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f688,plain,
m2_fraenkel(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8)),
inference(subsumption_resolution,[],[f687,f320]) ).
fof(f320,plain,
l1_group_1(sK8),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( ~ v3_struct_0(sK8)
& m2_fraenkel(sK9,u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8))
& ( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_autgroup(sK8,k2_group_1(sK8)),sK9) != sK9
| k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),sK9,k6_autgroup(sK8,k2_group_1(sK8))) != sK9 )
& v3_group_1(sK8)
& v4_group_1(sK8)
& v1_group_1(sK8)
& l1_group_1(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f118,f217,f216]) ).
fof(f216,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& ? [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
& ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1 ) )
& v3_group_1(X0)
& v4_group_1(X0)
& v1_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(sK8)
& ? [X1] :
( m2_fraenkel(X1,u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8))
& ( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_autgroup(sK8,k2_group_1(sK8)),X1) != X1
| k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),X1,k6_autgroup(sK8,k2_group_1(sK8))) != X1 ) )
& v3_group_1(sK8)
& v4_group_1(sK8)
& v1_group_1(sK8)
& l1_group_1(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
( ? [X1] :
( m2_fraenkel(X1,u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8))
& ( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_autgroup(sK8,k2_group_1(sK8)),X1) != X1
| k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),X1,k6_autgroup(sK8,k2_group_1(sK8))) != X1 ) )
=> ( m2_fraenkel(sK9,u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8))
& ( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_autgroup(sK8,k2_group_1(sK8)),sK9) != sK9
| k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),sK9,k6_autgroup(sK8,k2_group_1(sK8))) != sK9 ) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
? [X0] :
( ~ v3_struct_0(X0)
& ? [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
& ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1 ) )
& v3_group_1(X0)
& v4_group_1(X0)
& v1_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
? [X0] :
( ? [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
& ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1 ) )
& l1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1 ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_autgroup) ).
fof(f687,plain,
( ~ l1_group_1(sK8)
| m2_fraenkel(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8)) ),
inference(subsumption_resolution,[],[f686,f466]) ).
fof(f466,plain,
m1_subset_1(k2_group_1(sK8),u1_struct_0(sK8)),
inference(subsumption_resolution,[],[f444,f326]) ).
fof(f326,plain,
~ v3_struct_0(sK8),
inference(cnf_transformation,[],[f218]) ).
fof(f444,plain,
( v3_struct_0(sK8)
| m1_subset_1(k2_group_1(sK8),u1_struct_0(sK8)) ),
inference(resolution,[],[f340,f320]) ).
fof(f340,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f686,plain,
( ~ m1_subset_1(k2_group_1(sK8),u1_struct_0(sK8))
| m2_fraenkel(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8))
| ~ l1_group_1(sK8) ),
inference(subsumption_resolution,[],[f685,f321]) ).
fof(f321,plain,
v1_group_1(sK8),
inference(cnf_transformation,[],[f218]) ).
fof(f685,plain,
( ~ v1_group_1(sK8)
| ~ m1_subset_1(k2_group_1(sK8),u1_struct_0(sK8))
| ~ l1_group_1(sK8)
| m2_fraenkel(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8)) ),
inference(subsumption_resolution,[],[f684,f323]) ).
fof(f323,plain,
v3_group_1(sK8),
inference(cnf_transformation,[],[f218]) ).
fof(f684,plain,
( ~ v3_group_1(sK8)
| m2_fraenkel(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8))
| ~ v1_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ m1_subset_1(k2_group_1(sK8),u1_struct_0(sK8)) ),
inference(subsumption_resolution,[],[f683,f322]) ).
fof(f322,plain,
v4_group_1(sK8),
inference(cnf_transformation,[],[f218]) ).
fof(f683,plain,
( ~ v4_group_1(sK8)
| ~ m1_subset_1(k2_group_1(sK8),u1_struct_0(sK8))
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ l1_group_1(sK8)
| m2_fraenkel(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8)) ),
inference(subsumption_resolution,[],[f682,f326]) ).
fof(f682,plain,
( m2_fraenkel(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8))
| v3_struct_0(sK8)
| ~ v4_group_1(sK8)
| ~ v1_group_1(sK8)
| ~ m1_subset_1(k2_group_1(sK8),u1_struct_0(sK8))
| ~ l1_group_1(sK8)
| ~ v3_group_1(sK8) ),
inference(superposition,[],[f284,f631]) ).
fof(f631,plain,
k6_relat_1(u1_struct_0(sK8)) = k6_autgroup(sK8,k2_group_1(sK8)),
inference(subsumption_resolution,[],[f630,f326]) ).
fof(f630,plain,
( v3_struct_0(sK8)
| k6_relat_1(u1_struct_0(sK8)) = k6_autgroup(sK8,k2_group_1(sK8)) ),
inference(subsumption_resolution,[],[f629,f323]) ).
fof(f629,plain,
( k6_relat_1(u1_struct_0(sK8)) = k6_autgroup(sK8,k2_group_1(sK8))
| ~ v3_group_1(sK8)
| v3_struct_0(sK8) ),
inference(subsumption_resolution,[],[f628,f322]) ).
fof(f628,plain,
( ~ v4_group_1(sK8)
| k6_relat_1(u1_struct_0(sK8)) = k6_autgroup(sK8,k2_group_1(sK8))
| ~ v3_group_1(sK8)
| v3_struct_0(sK8) ),
inference(subsumption_resolution,[],[f621,f321]) ).
fof(f621,plain,
( ~ v1_group_1(sK8)
| v3_struct_0(sK8)
| k6_relat_1(u1_struct_0(sK8)) = k6_autgroup(sK8,k2_group_1(sK8))
| ~ v4_group_1(sK8)
| ~ v3_group_1(sK8) ),
inference(resolution,[],[f424,f320]) ).
fof(f424,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_relat_1(u1_struct_0(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(definition_unfolding,[],[f384,f304]) ).
fof(f384,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ( v4_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f284,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X1,X0),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ~ v3_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| m2_fraenkel(k6_autgroup(X1,X0),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| v3_struct_0(X1) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X1,X0] :
( ~ v3_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( v1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& v4_group_1(X0) )
=> m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_autgroup) ).
fof(f918,plain,
( ! [X8,X7] :
( ~ v1_funct_2(X7,u1_struct_0(sK8),X8)
| k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),X8,sK9,X7) = k5_relat_1(sK9,X7)
| ~ m1_relset_1(X7,u1_struct_0(sK8),X8)
| ~ v1_funct_1(X7) )
| spl25_8
| ~ spl25_9
| ~ spl25_17
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f917,f479]) ).
fof(f479,plain,
( v1_funct_1(sK9)
| ~ spl25_9 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f477,plain,
( spl25_9
<=> v1_funct_1(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).
fof(f917,plain,
( ! [X8,X7] :
( ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(sK8),X8)
| ~ m1_relset_1(X7,u1_struct_0(sK8),X8)
| k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),X8,sK9,X7) = k5_relat_1(sK9,X7)
| ~ v1_funct_1(sK9) )
| spl25_8
| ~ spl25_17
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f916,f474]) ).
fof(f916,plain,
( ! [X8,X7] :
( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),X8,sK9,X7) = k5_relat_1(sK9,X7)
| ~ m1_relset_1(X7,u1_struct_0(sK8),X8)
| v1_xboole_0(u1_struct_0(sK8))
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(sK8),X8)
| ~ v1_funct_1(sK9) )
| ~ spl25_17
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f903,f704]) ).
fof(f903,plain,
( ! [X8,X7] :
( ~ m1_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ m1_relset_1(X7,u1_struct_0(sK8),X8)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(sK8),X8)
| ~ v1_funct_1(sK9)
| v1_xboole_0(u1_struct_0(sK8))
| k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),X8,sK9,X7) = k5_relat_1(sK9,X7) )
| ~ spl25_17 ),
inference(resolution,[],[f307,f581]) ).
fof(f581,plain,
( v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl25_17 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f579,plain,
( spl25_17
<=> v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_17])]) ).
fof(f307,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X4,X1,X3)
| ~ m1_relset_1(X4,X1,X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X2,X3,X0)
| v1_xboole_0(X3)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X3,X0)
| k7_funct_2(X1,X3,X0,X4,X2) = k5_relat_1(X4,X2) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_2(X2,X3,X0)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X4,X1,X3)
| v1_xboole_0(X3)
| ~ v1_funct_2(X4,X1,X3)
| ~ m1_relset_1(X2,X3,X0)
| ~ v1_funct_1(X2)
| k7_funct_2(X1,X3,X0,X4,X2) = k5_relat_1(X4,X2) ),
inference(rectify,[],[f161]) ).
fof(f161,plain,
! [X1,X4,X0,X2,X3] :
( ~ v1_funct_2(X0,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,X4,X2)
| v1_xboole_0(X2)
| ~ v1_funct_2(X3,X4,X2)
| ~ m1_relset_1(X0,X2,X1)
| ~ v1_funct_1(X0)
| k5_relat_1(X3,X0) = k7_funct_2(X4,X2,X1,X3,X0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X3,X1,X2,X0,X4] :
( k5_relat_1(X3,X0) = k7_funct_2(X4,X2,X1,X3,X0)
| ~ v1_funct_2(X0,X2,X1)
| ~ v1_funct_2(X3,X4,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(X2)
| ~ m1_relset_1(X0,X2,X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,X4,X2) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X3,X1,X2,X0,X4] :
( ( v1_funct_2(X0,X2,X1)
& v1_funct_2(X3,X4,X2)
& v1_funct_1(X0)
& ~ v1_xboole_0(X2)
& m1_relset_1(X0,X2,X1)
& v1_funct_1(X3)
& m1_relset_1(X3,X4,X2) )
=> k5_relat_1(X3,X0) = k7_funct_2(X4,X2,X1,X3,X0) ),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X4,X2,X1,X3,X0] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1) )
=> k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(f1902,plain,
( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),sK9,k6_relat_1(u1_struct_0(sK8))) != sK9
| spl25_2 ),
inference(forward_demodulation,[],[f434,f631]) ).
fof(f434,plain,
( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),sK9,k6_autgroup(sK8,k2_group_1(sK8))) != sK9
| spl25_2 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f432,plain,
( spl25_2
<=> k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),sK9,k6_autgroup(sK8,k2_group_1(sK8))) = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
fof(f1897,plain,
( spl25_1
| ~ spl25_7
| spl25_8
| ~ spl25_9
| ~ spl25_17
| ~ spl25_18
| ~ spl25_20 ),
inference(avatar_contradiction_clause,[],[f1896]) ).
fof(f1896,plain,
( $false
| spl25_1
| ~ spl25_7
| spl25_8
| ~ spl25_9
| ~ spl25_17
| ~ spl25_18
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f1895,f1015]) ).
fof(f1015,plain,
( k5_relat_1(k6_relat_1(u1_struct_0(sK8)),sK9) != sK9
| spl25_1
| ~ spl25_7
| spl25_8
| ~ spl25_9
| ~ spl25_17
| ~ spl25_20 ),
inference(superposition,[],[f675,f1012]) ).
fof(f1012,plain,
( k5_relat_1(k6_relat_1(u1_struct_0(sK8)),sK9) = k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_relat_1(u1_struct_0(sK8)),sK9)
| ~ spl25_7
| spl25_8
| ~ spl25_9
| ~ spl25_17
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f1011,f479]) ).
fof(f1011,plain,
( ~ v1_funct_1(sK9)
| k5_relat_1(k6_relat_1(u1_struct_0(sK8)),sK9) = k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_relat_1(u1_struct_0(sK8)),sK9)
| ~ spl25_7
| spl25_8
| ~ spl25_17
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f999,f704]) ).
fof(f999,plain,
( k5_relat_1(k6_relat_1(u1_struct_0(sK8)),sK9) = k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_relat_1(u1_struct_0(sK8)),sK9)
| ~ m1_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ spl25_7
| spl25_8
| ~ spl25_17 ),
inference(resolution,[],[f915,f581]) ).
fof(f915,plain,
( ! [X10,X9] :
( ~ v1_funct_2(X9,u1_struct_0(sK8),X10)
| ~ v1_funct_1(X9)
| k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),X10,k6_relat_1(u1_struct_0(sK8)),X9) = k5_relat_1(k6_relat_1(u1_struct_0(sK8)),X9)
| ~ m1_relset_1(X9,u1_struct_0(sK8),X10) )
| ~ spl25_7
| spl25_8 ),
inference(subsumption_resolution,[],[f914,f474]) ).
fof(f914,plain,
( ! [X10,X9] :
( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),X10,k6_relat_1(u1_struct_0(sK8)),X9) = k5_relat_1(k6_relat_1(u1_struct_0(sK8)),X9)
| ~ v1_funct_2(X9,u1_struct_0(sK8),X10)
| v1_xboole_0(u1_struct_0(sK8))
| ~ m1_relset_1(X9,u1_struct_0(sK8),X10)
| ~ v1_funct_1(X9) )
| ~ spl25_7
| spl25_8 ),
inference(subsumption_resolution,[],[f913,f789]) ).
fof(f913,plain,
( ! [X10,X9] :
( ~ m1_relset_1(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8))
| v1_xboole_0(u1_struct_0(sK8))
| ~ v1_funct_2(X9,u1_struct_0(sK8),X10)
| ~ v1_funct_1(X9)
| k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),X10,k6_relat_1(u1_struct_0(sK8)),X9) = k5_relat_1(k6_relat_1(u1_struct_0(sK8)),X9)
| ~ m1_relset_1(X9,u1_struct_0(sK8),X10) )
| ~ spl25_7
| spl25_8 ),
inference(subsumption_resolution,[],[f904,f333]) ).
fof(f904,plain,
( ! [X10,X9] :
( ~ v1_funct_2(X9,u1_struct_0(sK8),X10)
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK8)))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK8)),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_funct_1(X9)
| v1_xboole_0(u1_struct_0(sK8))
| k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),X10,k6_relat_1(u1_struct_0(sK8)),X9) = k5_relat_1(k6_relat_1(u1_struct_0(sK8)),X9)
| ~ m1_relset_1(X9,u1_struct_0(sK8),X10) )
| ~ spl25_7
| spl25_8 ),
inference(resolution,[],[f307,f696]) ).
fof(f675,plain,
( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_relat_1(u1_struct_0(sK8)),sK9) != sK9
| spl25_1 ),
inference(backward_demodulation,[],[f430,f631]) ).
fof(f430,plain,
( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_autgroup(sK8,k2_group_1(sK8)),sK9) != sK9
| spl25_1 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f428,plain,
( spl25_1
<=> k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_autgroup(sK8,k2_group_1(sK8)),sK9) = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f1895,plain,
( k5_relat_1(k6_relat_1(u1_struct_0(sK8)),sK9) = sK9
| ~ spl25_7
| spl25_8
| ~ spl25_18
| ~ spl25_20 ),
inference(forward_demodulation,[],[f1891,f1665]) ).
fof(f1665,plain,
( k7_relset_1(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_relat_1(u1_struct_0(sK8)),sK9) = sK9
| ~ spl25_18 ),
inference(resolution,[],[f421,f586]) ).
fof(f421,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X2)
| k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),X1) = X1 ),
inference(definition_unfolding,[],[f346,f304]) ).
fof(f346,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X2)
| k7_relset_1(X0,X0,X0,X2,k6_partfun1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f225]) ).
fof(f1891,plain,
( k7_relset_1(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_relat_1(u1_struct_0(sK8)),sK9) = k5_relat_1(k6_relat_1(u1_struct_0(sK8)),sK9)
| ~ spl25_7
| spl25_8
| ~ spl25_20 ),
inference(resolution,[],[f1875,f694]) ).
fof(f694,plain,
( m1_subset_1(k6_relat_1(u1_struct_0(sK8)),k4_autgroup(sK8))
| ~ spl25_7
| spl25_8 ),
inference(subsumption_resolution,[],[f693,f474]) ).
fof(f693,plain,
( m1_subset_1(k6_relat_1(u1_struct_0(sK8)),k4_autgroup(sK8))
| v1_xboole_0(u1_struct_0(sK8))
| ~ spl25_7 ),
inference(subsumption_resolution,[],[f691,f470]) ).
fof(f691,plain,
( ~ m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| v1_xboole_0(u1_struct_0(sK8))
| m1_subset_1(k6_relat_1(u1_struct_0(sK8)),k4_autgroup(sK8)) ),
inference(resolution,[],[f688,f412]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X1,X2,X0)
| m1_subset_1(X3,X0)
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0,X1,X2] :
( v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2)
| ! [X3] :
( ( m1_subset_1(X3,X0)
| ~ m2_fraenkel(X3,X1,X2,X0) )
& ( m2_fraenkel(X3,X1,X2,X0)
| ~ m1_subset_1(X3,X0) ) ) ),
inference(nnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2)
| ! [X3] :
( m1_subset_1(X3,X0)
<=> m2_fraenkel(X3,X1,X2,X0) ) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X2,X1,X0] :
( ! [X3] :
( m1_subset_1(X3,X0)
<=> m2_fraenkel(X3,X1,X2,X0) )
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
! [X2,X1,X0] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X0,X1,X2) )
=> ! [X3] :
( m1_subset_1(X3,X0)
<=> m2_fraenkel(X3,X1,X2,X0) ) ),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X2,X0,X1] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m1_subset_1(X3,X2)
<=> m2_fraenkel(X3,X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f1875,plain,
( ! [X15] :
( ~ m1_subset_1(X15,k4_autgroup(sK8))
| k5_relat_1(X15,sK9) = k7_relset_1(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),X15,sK9) )
| ~ spl25_7
| spl25_8
| ~ spl25_20 ),
inference(resolution,[],[f1806,f704]) ).
fof(f1806,plain,
( ! [X31,X32,X30,X33] :
( ~ m1_relset_1(X30,X31,X32)
| ~ m1_subset_1(X33,k4_autgroup(sK8))
| k7_relset_1(u1_struct_0(sK8),u1_struct_0(sK8),X31,X32,X33,X30) = k5_relat_1(X33,X30) )
| ~ spl25_7
| spl25_8 ),
inference(resolution,[],[f275,f1552]) ).
fof(f1552,plain,
( ! [X2] :
( m1_relset_1(X2,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ m1_subset_1(X2,k4_autgroup(sK8)) )
| ~ spl25_7
| spl25_8 ),
inference(resolution,[],[f1538,f400]) ).
fof(f1538,plain,
( ! [X3] :
( m2_relset_1(X3,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ m1_subset_1(X3,k4_autgroup(sK8)) )
| ~ spl25_7
| spl25_8 ),
inference(subsumption_resolution,[],[f1536,f474]) ).
fof(f1536,plain,
( ! [X3] :
( m2_relset_1(X3,u1_struct_0(sK8),u1_struct_0(sK8))
| v1_xboole_0(u1_struct_0(sK8))
| ~ m1_subset_1(X3,k4_autgroup(sK8)) )
| ~ spl25_7 ),
inference(resolution,[],[f530,f470]) ).
fof(f530,plain,
! [X3,X6,X4,X5] :
( ~ m1_fraenkel(X3,X4,X5)
| v1_xboole_0(X5)
| ~ m1_subset_1(X6,X3)
| m2_relset_1(X6,X4,X5) ),
inference(duplicate_literal_removal,[],[f528]) ).
fof(f528,plain,
! [X3,X6,X4,X5] :
( v1_xboole_0(X5)
| m2_relset_1(X6,X4,X5)
| ~ m1_fraenkel(X3,X4,X5)
| ~ m1_subset_1(X6,X3)
| ~ m1_fraenkel(X3,X4,X5)
| v1_xboole_0(X5) ),
inference(resolution,[],[f373,f411]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X1,X2,X0)
| ~ m1_subset_1(X3,X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(cnf_transformation,[],[f260]) ).
fof(f373,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X1,X2,X0)
| ~ m1_fraenkel(X0,X1,X2)
| m2_relset_1(X3,X1,X2)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f793,plain,
( ~ spl25_18
| spl25_20 ),
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f792,plain,
( $false
| ~ spl25_18
| spl25_20 ),
inference(subsumption_resolution,[],[f791,f705]) ).
fof(f705,plain,
( ~ m1_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| spl25_20 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f791,plain,
( m1_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl25_18 ),
inference(resolution,[],[f400,f586]) ).
fof(f674,plain,
~ spl25_8,
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| ~ spl25_8 ),
inference(subsumption_resolution,[],[f672,f326]) ).
fof(f672,plain,
( v3_struct_0(sK8)
| ~ spl25_8 ),
inference(subsumption_resolution,[],[f671,f495]) ).
fof(f495,plain,
l1_struct_0(sK8),
inference(resolution,[],[f319,f320]) ).
fof(f319,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f671,plain,
( ~ l1_struct_0(sK8)
| v3_struct_0(sK8)
| ~ spl25_8 ),
inference(subsumption_resolution,[],[f670,f288]) ).
fof(f288,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f670,plain,
( ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(sK8)
| ~ l1_struct_0(sK8)
| ~ spl25_8 ),
inference(superposition,[],[f332,f600]) ).
fof(f600,plain,
( k1_xboole_0 = u1_struct_0(sK8)
| ~ spl25_8 ),
inference(resolution,[],[f598,f288]) ).
fof(f598,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| u1_struct_0(sK8) = X0 )
| ~ spl25_8 ),
inference(resolution,[],[f475,f299]) ).
fof(f299,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
! [X1,X0] :
~ ( X0 != X1
& v1_xboole_0(X1)
& v1_xboole_0(X0) ),
inference(rectify,[],[f83]) ).
fof(f83,axiom,
! [X1,X0] :
~ ( v1_xboole_0(X0)
& X0 != X1
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f475,plain,
( v1_xboole_0(u1_struct_0(sK8))
| ~ spl25_8 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f332,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f590,plain,
spl25_7,
inference(avatar_split_clause,[],[f589,f469]) ).
fof(f589,plain,
m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8)),
inference(subsumption_resolution,[],[f588,f323]) ).
fof(f588,plain,
( ~ v3_group_1(sK8)
| m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8)) ),
inference(subsumption_resolution,[],[f556,f321]) ).
fof(f556,plain,
( ~ v1_group_1(sK8)
| m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v3_group_1(sK8) ),
inference(subsumption_resolution,[],[f555,f322]) ).
fof(f555,plain,
( ~ v4_group_1(sK8)
| ~ v3_group_1(sK8)
| m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_group_1(sK8) ),
inference(subsumption_resolution,[],[f533,f326]) ).
fof(f533,plain,
( v3_struct_0(sK8)
| m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8) ),
inference(resolution,[],[f309,f320]) ).
fof(f309,plain,
! [X0] :
( ~ l1_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))
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ~ v3_group_1(X0)
| ~ v1_group_1(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) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f587,plain,
( ~ spl25_7
| spl25_8
| spl25_18 ),
inference(avatar_split_clause,[],[f526,f584,f473,f469]) ).
fof(f526,plain,
( m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v1_xboole_0(u1_struct_0(sK8))
| ~ m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8)) ),
inference(resolution,[],[f373,f325]) ).
fof(f325,plain,
m2_fraenkel(sK9,u1_struct_0(sK8),u1_struct_0(sK8),k4_autgroup(sK8)),
inference(cnf_transformation,[],[f218]) ).
fof(f582,plain,
( spl25_17
| spl25_8
| ~ spl25_7 ),
inference(avatar_split_clause,[],[f503,f469,f473,f579]) ).
fof(f503,plain,
( ~ m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| v1_xboole_0(u1_struct_0(sK8))
| v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8)) ),
inference(resolution,[],[f372,f325]) ).
fof(f480,plain,
( ~ spl25_7
| spl25_8
| spl25_9 ),
inference(avatar_split_clause,[],[f467,f477,f473,f469]) ).
fof(f467,plain,
( v1_funct_1(sK9)
| v1_xboole_0(u1_struct_0(sK8))
| ~ m1_fraenkel(k4_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8)) ),
inference(resolution,[],[f374,f325]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X1,X2,X0)
| v1_funct_1(X3)
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f435,plain,
( ~ spl25_1
| ~ spl25_2 ),
inference(avatar_split_clause,[],[f324,f432,f428]) ).
fof(f324,plain,
( k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),sK9,k6_autgroup(sK8,k2_group_1(sK8))) != sK9
| k7_funct_2(u1_struct_0(sK8),u1_struct_0(sK8),u1_struct_0(sK8),k6_autgroup(sK8,k2_group_1(sK8)),sK9) != sK9 ),
inference(cnf_transformation,[],[f218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP632+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 29 22:47:41 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.48 % (2273)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)
% 0.17/0.49 % (2274)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.49 % (2281)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)
% 0.17/0.50 % (2282)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)
% 0.17/0.50 TRYING [1]
% 0.17/0.50 % (2274)Instruction limit reached!
% 0.17/0.50 % (2274)------------------------------
% 0.17/0.50 % (2274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (2289)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)
% 0.17/0.50 % (2290)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)
% 0.17/0.50 % (2274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (2274)Termination reason: Unknown
% 0.17/0.50 % (2274)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (2274)Memory used [KB]: 5628
% 0.17/0.50 % (2274)Time elapsed: 0.007 s
% 0.17/0.50 % (2274)Instructions burned: 7 (million)
% 0.17/0.50 % (2274)------------------------------
% 0.17/0.50 % (2274)------------------------------
% 0.17/0.52 TRYING [2]
% 0.17/0.52 % (2267)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)
% 0.17/0.53 TRYING [3]
% 0.17/0.53 % (2270)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)
% 0.17/0.53 % (2293)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)
% 0.17/0.53 % (2277)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.53 % (2272)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)
% 0.17/0.53 % (2276)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)
% 0.17/0.54 % (2271)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.54 % (2284)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.54 % (2275)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.54 % (2275)Instruction limit reached!
% 0.17/0.54 % (2275)------------------------------
% 0.17/0.54 % (2275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (2275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (2275)Termination reason: Unknown
% 0.17/0.54 % (2275)Termination phase: Preprocessing 1
% 0.17/0.54
% 0.17/0.54 % (2275)Memory used [KB]: 895
% 0.17/0.54 % (2275)Time elapsed: 0.002 s
% 0.17/0.54 % (2275)Instructions burned: 2 (million)
% 0.17/0.54 % (2275)------------------------------
% 0.17/0.54 % (2275)------------------------------
% 0.17/0.54 % (2269)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)
% 0.17/0.54 % (2296)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)
% 0.17/0.54 % (2294)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)
% 0.17/0.55 % (2295)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.55 % (2288)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.55 % (2291)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.55 % (2285)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.55 % (2278)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)
% 0.17/0.55 % (2292)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.55 % (2279)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.55 % (2273)Instruction limit reached!
% 0.17/0.55 % (2273)------------------------------
% 0.17/0.55 % (2273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (2273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (2273)Termination reason: Unknown
% 0.17/0.55 % (2273)Termination phase: Finite model building constraint generation
% 0.17/0.55
% 0.17/0.55 % (2273)Memory used [KB]: 8443
% 0.17/0.55 % (2273)Time elapsed: 0.140 s
% 0.17/0.55 % (2273)Instructions burned: 52 (million)
% 0.17/0.55 % (2273)------------------------------
% 0.17/0.55 % (2273)------------------------------
% 0.17/0.56 % (2287)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)
% 0.17/0.56 % (2280)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.56 % (2286)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)
% 0.17/0.57 TRYING [1]
% 0.17/0.57 TRYING [1]
% 0.17/0.57 TRYING [2]
% 0.17/0.57 TRYING [2]
% 0.17/0.57 % (2268)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)
% 0.17/0.58 % (2283)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)
% 1.83/0.60 TRYING [3]
% 1.83/0.60 % (2268)Refutation not found, incomplete strategy% (2268)------------------------------
% 1.83/0.60 % (2268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60 % (2268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60 % (2268)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.60
% 1.83/0.60 % (2268)Memory used [KB]: 5756
% 1.83/0.60 % (2268)Time elapsed: 0.178 s
% 1.83/0.60 % (2268)Instructions burned: 12 (million)
% 1.83/0.60 % (2268)------------------------------
% 1.83/0.60 % (2268)------------------------------
% 2.15/0.63 TRYING [3]
% 2.15/0.64 % (2281)Instruction limit reached!
% 2.15/0.64 % (2281)------------------------------
% 2.15/0.64 % (2281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64 % (2281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64 % (2281)Termination reason: Unknown
% 2.15/0.64 % (2281)Termination phase: Saturation
% 2.15/0.64
% 2.15/0.64 % (2281)Memory used [KB]: 7164
% 2.15/0.64 % (2281)Time elapsed: 0.086 s
% 2.15/0.64 % (2281)Instructions burned: 68 (million)
% 2.15/0.64 % (2281)------------------------------
% 2.15/0.64 % (2281)------------------------------
% 2.15/0.65 % (2269)Instruction limit reached!
% 2.15/0.65 % (2269)------------------------------
% 2.15/0.65 % (2269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65 % (2269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65 % (2269)Termination reason: Unknown
% 2.15/0.65 % (2269)Termination phase: Saturation
% 2.15/0.65
% 2.15/0.65 % (2269)Memory used [KB]: 1535
% 2.15/0.65 % (2269)Time elapsed: 0.233 s
% 2.15/0.65 % (2269)Instructions burned: 37 (million)
% 2.15/0.65 % (2269)------------------------------
% 2.15/0.65 % (2269)------------------------------
% 2.47/0.66 % (2284)Instruction limit reached!
% 2.47/0.66 % (2284)------------------------------
% 2.47/0.66 % (2284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.66 % (2284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.66 % (2284)Termination reason: Unknown
% 2.47/0.66 % (2284)Termination phase: Finite model building constraint generation
% 2.47/0.66
% 2.47/0.66 % (2284)Memory used [KB]: 8699
% 2.47/0.66 % (2284)Time elapsed: 0.214 s
% 2.47/0.66 % (2284)Instructions burned: 60 (million)
% 2.47/0.66 % (2284)------------------------------
% 2.47/0.66 % (2284)------------------------------
% 2.47/0.66 % (2282)Instruction limit reached!
% 2.47/0.66 % (2282)------------------------------
% 2.47/0.66 % (2282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.66 % (2282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.66 % (2282)Termination reason: Unknown
% 2.47/0.66 % (2282)Termination phase: Saturation
% 2.47/0.66
% 2.47/0.66 % (2282)Memory used [KB]: 2302
% 2.47/0.66 % (2282)Time elapsed: 0.262 s
% 2.47/0.66 % (2282)Instructions burned: 76 (million)
% 2.47/0.66 % (2282)------------------------------
% 2.47/0.66 % (2282)------------------------------
% 2.47/0.67 % (2270)Instruction limit reached!
% 2.47/0.67 % (2270)------------------------------
% 2.47/0.67 % (2270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.67 % (2270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.67 % (2270)Termination reason: Unknown
% 2.47/0.67 % (2270)Termination phase: Saturation
% 2.47/0.67
% 2.47/0.67 % (2270)Memory used [KB]: 6524
% 2.47/0.67 % (2270)Time elapsed: 0.259 s
% 2.47/0.67 % (2270)Instructions burned: 51 (million)
% 2.47/0.67 % (2270)------------------------------
% 2.47/0.67 % (2270)------------------------------
% 2.47/0.67 % (2272)Instruction limit reached!
% 2.47/0.67 % (2272)------------------------------
% 2.47/0.67 % (2272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.67 % (2272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.67 % (2272)Termination reason: Unknown
% 2.47/0.67 % (2272)Termination phase: Saturation
% 2.47/0.67
% 2.47/0.67 % (2272)Memory used [KB]: 6140
% 2.47/0.67 % (2272)Time elapsed: 0.280 s
% 2.47/0.67 % (2272)Instructions burned: 48 (million)
% 2.47/0.67 % (2272)------------------------------
% 2.47/0.67 % (2272)------------------------------
% 2.47/0.68 % (2276)Instruction limit reached!
% 2.47/0.68 % (2276)------------------------------
% 2.47/0.68 % (2276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.68 % (2276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.68 % (2276)Termination reason: Unknown
% 2.47/0.68 % (2276)Termination phase: Saturation
% 2.47/0.68
% 2.47/0.68 % (2276)Memory used [KB]: 1791
% 2.47/0.68 % (2276)Time elapsed: 0.251 s
% 2.47/0.68 % (2276)Instructions burned: 52 (million)
% 2.47/0.68 % (2276)------------------------------
% 2.47/0.68 % (2276)------------------------------
% 2.47/0.68 % (2271)Instruction limit reached!
% 2.47/0.68 % (2271)------------------------------
% 2.47/0.68 % (2271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.68 % (2271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.68 % (2271)Termination reason: Unknown
% 2.47/0.68 % (2271)Termination phase: Saturation
% 2.47/0.68
% 2.47/0.68 % (2271)Memory used [KB]: 6780
% 2.47/0.68 % (2271)Time elapsed: 0.281 s
% 2.47/0.68 % (2271)Instructions burned: 51 (million)
% 2.47/0.68 % (2271)------------------------------
% 2.47/0.68 % (2271)------------------------------
% 2.47/0.68 % (2277)Instruction limit reached!
% 2.47/0.68 % (2277)------------------------------
% 2.47/0.68 % (2277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.68 % (2277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.68 % (2277)Termination reason: Unknown
% 2.47/0.68 % (2277)Termination phase: Saturation
% 2.47/0.68
% 2.47/0.68 % (2277)Memory used [KB]: 6652
% 2.47/0.68 % (2277)Time elapsed: 0.295 s
% 2.47/0.68 % (2277)Instructions burned: 50 (million)
% 2.47/0.68 % (2277)------------------------------
% 2.47/0.68 % (2277)------------------------------
% 2.47/0.69 % (2297)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 3.02/0.74 % (2293)Instruction limit reached!
% 3.02/0.74 % (2293)------------------------------
% 3.02/0.74 % (2293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.74 % (2293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.74 % (2293)Termination reason: Unknown
% 3.02/0.74 % (2293)Termination phase: Saturation
% 3.02/0.74
% 3.02/0.74 % (2293)Memory used [KB]: 7164
% 3.02/0.74 % (2293)Time elapsed: 0.056 s
% 3.02/0.74 % (2293)Instructions burned: 69 (million)
% 3.02/0.74 % (2293)------------------------------
% 3.02/0.74 % (2293)------------------------------
% 3.02/0.75 % (2299)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.22/0.79 % (2298)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.22/0.80 % (2278)Instruction limit reached!
% 3.22/0.80 % (2278)------------------------------
% 3.22/0.80 % (2278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.80 % (2278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.80 % (2278)Termination reason: Unknown
% 3.22/0.80 % (2278)Termination phase: Saturation
% 3.22/0.80
% 3.22/0.80 % (2278)Memory used [KB]: 7291
% 3.22/0.80 % (2278)Time elapsed: 0.405 s
% 3.22/0.80 % (2278)Instructions burned: 100 (million)
% 3.22/0.80 % (2278)------------------------------
% 3.22/0.80 % (2278)------------------------------
% 3.22/0.81 % (2286)Instruction limit reached!
% 3.22/0.81 % (2286)------------------------------
% 3.22/0.81 % (2286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.81 % (2286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.81 % (2286)Termination reason: Unknown
% 3.22/0.81 % (2286)Termination phase: Saturation
% 3.22/0.81
% 3.22/0.81 % (2286)Memory used [KB]: 2302
% 3.22/0.81 % (2286)Time elapsed: 0.398 s
% 3.22/0.81 % (2286)Instructions burned: 100 (million)
% 3.22/0.81 % (2286)------------------------------
% 3.22/0.81 % (2286)------------------------------
% 3.22/0.82 % (2301)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.22/0.83 % (2279)Instruction limit reached!
% 3.22/0.83 % (2279)------------------------------
% 3.22/0.83 % (2279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.83 % (2285)Instruction limit reached!
% 3.22/0.83 % (2285)------------------------------
% 3.22/0.83 % (2285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.83 % (2285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.83 % (2285)Termination reason: Unknown
% 3.22/0.83 % (2285)Termination phase: Saturation
% 3.22/0.83
% 3.22/0.83 % (2285)Memory used [KB]: 7291
% 3.22/0.83 % (2285)Time elapsed: 0.436 s
% 3.22/0.83 % (2285)Instructions burned: 100 (million)
% 3.22/0.83 % (2285)------------------------------
% 3.22/0.83 % (2285)------------------------------
% 3.22/0.83 % (2280)Instruction limit reached!
% 3.22/0.83 % (2280)------------------------------
% 3.22/0.83 % (2280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.83 % (2280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.83 % (2280)Termination reason: Unknown
% 3.22/0.83 % (2280)Termination phase: Saturation
% 3.22/0.83
% 3.22/0.83 % (2280)Memory used [KB]: 7036
% 3.22/0.83 % (2280)Time elapsed: 0.422 s
% 3.22/0.83 % (2280)Instructions burned: 99 (million)
% 3.22/0.83 % (2280)------------------------------
% 3.22/0.83 % (2280)------------------------------
% 3.54/0.84 % (2300)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.54/0.84 % (2279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.84 % (2279)Termination reason: Unknown
% 3.54/0.84 % (2279)Termination phase: Saturation
% 3.54/0.84
% 3.54/0.84 % (2279)Memory used [KB]: 6908
% 3.54/0.84 % (2279)Time elapsed: 0.420 s
% 3.54/0.84 % (2279)Instructions burned: 101 (million)
% 3.54/0.84 % (2279)------------------------------
% 3.54/0.84 % (2279)------------------------------
% 3.54/0.84 % (2283)Instruction limit reached!
% 3.54/0.84 % (2283)------------------------------
% 3.54/0.84 % (2283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.84 % (2283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.84 % (2283)Termination reason: Unknown
% 3.54/0.84 % (2283)Termination phase: Saturation
% 3.54/0.84
% 3.54/0.84 % (2283)Memory used [KB]: 6652
% 3.54/0.84 % (2283)Time elapsed: 0.442 s
% 3.54/0.84 % (2283)Instructions burned: 100 (million)
% 3.54/0.84 % (2283)------------------------------
% 3.54/0.84 % (2283)------------------------------
% 3.60/0.85 % (2304)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 (2996ds/68Mi)
% 3.60/0.87 % (2302)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.60/0.88 % (2307)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.60/0.89 % (2287)First to succeed.
% 3.60/0.89 % (2309)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.60/0.90 % (2287)Refutation found. Thanks to Tanya!
% 3.60/0.90 % SZS status Theorem for theBenchmark
% 3.60/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/0.90 % (2287)------------------------------
% 3.60/0.90 % (2287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.60/0.90 % (2287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.60/0.90 % (2287)Termination reason: Refutation
% 3.60/0.90
% 3.60/0.90 % (2287)Memory used [KB]: 7036
% 3.60/0.90 % (2287)Time elapsed: 0.466 s
% 3.60/0.90 % (2287)Instructions burned: 131 (million)
% 3.60/0.90 % (2287)------------------------------
% 3.60/0.90 % (2287)------------------------------
% 3.60/0.90 % (2266)Success in time 0.551 s
%------------------------------------------------------------------------------