TSTP Solution File: GRP640+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP640+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 : n027.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 16:23:15 EDT 2022
% Result : Theorem 1.46s 0.54s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 27
% Syntax : Number of formulae : 133 ( 36 unt; 0 def)
% Number of atoms : 643 ( 79 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 796 ( 286 ~; 286 |; 188 &)
% ( 7 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 4 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-4 aty)
% Number of variables : 144 ( 96 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1031,plain,
$false,
inference(avatar_sat_refutation,[],[f855,f936,f981,f1026]) ).
fof(f1026,plain,
~ spl32_31,
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1025,plain,
( $false
| ~ spl32_31 ),
inference(subsumption_resolution,[],[f1024,f302]) ).
fof(f302,plain,
sF24 != sF27,
inference(definition_folding,[],[f262,f301,f300,f299,f295,f294,f298,f297,f296,f295,f294]) ).
fof(f296,plain,
k5_group_4(sK11,sK16) = sF22,
introduced(function_definition,[]) ).
fof(f297,plain,
sF23 = u1_struct_0(sF22),
introduced(function_definition,[]) ).
fof(f298,plain,
k2_funct_2(sF20,sF21,sK15,sF23) = sF24,
introduced(function_definition,[]) ).
fof(f294,plain,
u1_struct_0(sK11) = sF20,
introduced(function_definition,[]) ).
fof(f295,plain,
sF21 = u1_struct_0(sK12),
introduced(function_definition,[]) ).
fof(f299,plain,
k8_group_4(sK11,sK13,sK14) = sF25,
introduced(function_definition,[]) ).
fof(f300,plain,
sF26 = u1_struct_0(sF25),
introduced(function_definition,[]) ).
fof(f301,plain,
k2_funct_2(sF20,sF21,sK15,sF26) = sF27,
introduced(function_definition,[]) ).
fof(f262,plain,
k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k5_group_4(sK11,sK16))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k8_group_4(sK11,sK13,sK14))),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( v4_group_1(sK11)
& v3_group_1(sK12)
& ~ v3_struct_0(sK12)
& l1_group_1(sK12)
& m1_group_2(sK14,sK11)
& v1_funct_1(sK15)
& k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k5_group_4(sK11,sK16))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k8_group_4(sK11,sK13,sK14)))
& m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)) = sK16
& v1_funct_2(sK15,u1_struct_0(sK11),u1_struct_0(sK12))
& m2_relset_1(sK15,u1_struct_0(sK11),u1_struct_0(sK12))
& m1_group_2(sK13,sK11)
& v4_group_1(sK12)
& ~ v3_struct_0(sK11)
& v3_group_1(sK11)
& l1_group_1(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16])],[f101,f189,f188,f187,f186,f185,f184]) ).
fof(f184,plain,
( ? [X0] :
( v4_group_1(X0)
& ? [X1] :
( v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1)
& ? [X2] :
( ? [X3] :
( m1_group_2(X3,X0)
& ? [X4] :
( v1_funct_1(X4)
& ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) ) )
& m1_group_2(X2,X0) )
& v4_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ( v4_group_1(sK11)
& ? [X1] :
( v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1)
& ? [X2] :
( ? [X3] :
( m1_group_2(X3,sK11)
& ? [X4] :
( v1_funct_1(X4)
& ? [X5] :
( k2_funct_2(u1_struct_0(sK11),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(sK11,X5))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(sK11,X2,X3)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK11),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(sK11),u1_struct_0(X1)) ) )
& m1_group_2(X2,sK11) )
& v4_group_1(X1) )
& ~ v3_struct_0(sK11)
& v3_group_1(sK11)
& l1_group_1(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ? [X1] :
( v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1)
& ? [X2] :
( ? [X3] :
( m1_group_2(X3,sK11)
& ? [X4] :
( v1_funct_1(X4)
& ? [X5] :
( k2_funct_2(u1_struct_0(sK11),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(sK11,X5))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(sK11,X2,X3)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK11),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(sK11),u1_struct_0(X1)) ) )
& m1_group_2(X2,sK11) )
& v4_group_1(X1) )
=> ( v3_group_1(sK12)
& ~ v3_struct_0(sK12)
& l1_group_1(sK12)
& ? [X2] :
( ? [X3] :
( m1_group_2(X3,sK11)
& ? [X4] :
( v1_funct_1(X4)
& ? [X5] :
( k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k8_group_4(sK11,X2,X3))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k5_group_4(sK11,X5)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK11),u1_struct_0(sK12))
& m2_relset_1(X4,u1_struct_0(sK11),u1_struct_0(sK12)) ) )
& m1_group_2(X2,sK11) )
& v4_group_1(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
( ? [X2] :
( ? [X3] :
( m1_group_2(X3,sK11)
& ? [X4] :
( v1_funct_1(X4)
& ? [X5] :
( k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k8_group_4(sK11,X2,X3))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k5_group_4(sK11,X5)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK11),u1_struct_0(sK12))
& m2_relset_1(X4,u1_struct_0(sK11),u1_struct_0(sK12)) ) )
& m1_group_2(X2,sK11) )
=> ( ? [X3] :
( m1_group_2(X3,sK11)
& ? [X4] :
( v1_funct_1(X4)
& ? [X5] :
( k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k5_group_4(sK11,X5))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k8_group_4(sK11,sK13,X3)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(sK13),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK11),u1_struct_0(sK12))
& m2_relset_1(X4,u1_struct_0(sK11),u1_struct_0(sK12)) ) )
& m1_group_2(sK13,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
( ? [X3] :
( m1_group_2(X3,sK11)
& ? [X4] :
( v1_funct_1(X4)
& ? [X5] :
( k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k5_group_4(sK11,X5))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k8_group_4(sK11,sK13,X3)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(sK13),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK11),u1_struct_0(sK12))
& m2_relset_1(X4,u1_struct_0(sK11),u1_struct_0(sK12)) ) )
=> ( m1_group_2(sK14,sK11)
& ? [X4] :
( v1_funct_1(X4)
& ? [X5] :
( k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k5_group_4(sK11,X5))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k8_group_4(sK11,sK13,sK14)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK11),u1_struct_0(sK12))
& m2_relset_1(X4,u1_struct_0(sK11),u1_struct_0(sK12)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
( ? [X4] :
( v1_funct_1(X4)
& ? [X5] :
( k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k5_group_4(sK11,X5))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),X4,u1_struct_0(k8_group_4(sK11,sK13,sK14)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK11),u1_struct_0(sK12))
& m2_relset_1(X4,u1_struct_0(sK11),u1_struct_0(sK12)) )
=> ( v1_funct_1(sK15)
& ? [X5] :
( k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k5_group_4(sK11,X5))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k8_group_4(sK11,sK13,sK14)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)) = X5 )
& v1_funct_2(sK15,u1_struct_0(sK11),u1_struct_0(sK12))
& m2_relset_1(sK15,u1_struct_0(sK11),u1_struct_0(sK12)) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
( ? [X5] :
( k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k5_group_4(sK11,X5))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k8_group_4(sK11,sK13,sK14)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)) = X5 )
=> ( k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k5_group_4(sK11,sK16))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k8_group_4(sK11,sK13,sK14)))
& m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11)))
& k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)) = sK16 ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
? [X0] :
( v4_group_1(X0)
& ? [X1] :
( v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1)
& ? [X2] :
( ? [X3] :
( m1_group_2(X3,X0)
& ? [X4] :
( v1_funct_1(X4)
& ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) ) )
& m1_group_2(X2,X0) )
& v4_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( v3_group_1(X1)
& ~ v3_struct_0(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( v3_group_1(X1)
& ~ v3_struct_0(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_latsubgr) ).
fof(f1024,plain,
( sF24 = sF27
| ~ spl32_31 ),
inference(forward_demodulation,[],[f1011,f298]) ).
fof(f1011,plain,
( k2_funct_2(sF20,sF21,sK15,sF23) = sF27
| ~ spl32_31 ),
inference(backward_demodulation,[],[f301,f1010]) ).
fof(f1010,plain,
( sF26 = sF23
| ~ spl32_31 ),
inference(forward_demodulation,[],[f983,f297]) ).
fof(f983,plain,
( sF26 = u1_struct_0(sF22)
| ~ spl32_31 ),
inference(backward_demodulation,[],[f300,f846]) ).
fof(f846,plain,
( sF22 = sF25
| ~ spl32_31 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f844,plain,
( spl32_31
<=> sF22 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_31])]) ).
fof(f981,plain,
spl32_32,
inference(avatar_split_clause,[],[f980,f848]) ).
fof(f848,plain,
( spl32_32
<=> m1_group_2(sF22,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_32])]) ).
fof(f980,plain,
m1_group_2(sF22,sK11),
inference(subsumption_resolution,[],[f967,f304]) ).
fof(f304,plain,
m1_subset_1(sK16,sF28),
inference(definition_folding,[],[f261,f303,f294]) ).
fof(f303,plain,
sF28 = k1_zfmisc_1(sF20),
introduced(function_definition,[]) ).
fof(f261,plain,
m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11))),
inference(cnf_transformation,[],[f190]) ).
fof(f967,plain,
( m1_group_2(sF22,sK11)
| ~ m1_subset_1(sK16,sF28) ),
inference(superposition,[],[f674,f296]) ).
fof(f674,plain,
! [X0] :
( m1_group_2(k5_group_4(sK11,X0),sK11)
| ~ m1_subset_1(X0,sF28) ),
inference(forward_demodulation,[],[f673,f303]) ).
fof(f673,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| m1_group_2(k5_group_4(sK11,X0),sK11) ),
inference(subsumption_resolution,[],[f672,f253]) ).
fof(f253,plain,
l1_group_1(sK11),
inference(cnf_transformation,[],[f190]) ).
fof(f672,plain,
! [X0] :
( m1_group_2(k5_group_4(sK11,X0),sK11)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| ~ l1_group_1(sK11) ),
inference(subsumption_resolution,[],[f671,f268]) ).
fof(f268,plain,
v4_group_1(sK11),
inference(cnf_transformation,[],[f190]) ).
fof(f671,plain,
! [X0] :
( ~ v4_group_1(sK11)
| m1_group_2(k5_group_4(sK11,X0),sK11)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| ~ l1_group_1(sK11) ),
inference(subsumption_resolution,[],[f670,f254]) ).
fof(f254,plain,
v3_group_1(sK11),
inference(cnf_transformation,[],[f190]) ).
fof(f670,plain,
! [X0] :
( m1_group_2(k5_group_4(sK11,X0),sK11)
| ~ v3_group_1(sK11)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| ~ l1_group_1(sK11)
| ~ v4_group_1(sK11) ),
inference(subsumption_resolution,[],[f658,f255]) ).
fof(f255,plain,
~ v3_struct_0(sK11),
inference(cnf_transformation,[],[f190]) ).
fof(f658,plain,
! [X0] :
( v3_struct_0(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| m1_group_2(k5_group_4(sK11,X0),sK11)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| ~ v3_group_1(sK11) ),
inference(superposition,[],[f284,f294]) ).
fof(f284,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_group_1(X0)
| m1_group_2(k5_group_4(X0,X1),X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f936,plain,
spl32_33,
inference(avatar_split_clause,[],[f935,f852]) ).
fof(f852,plain,
( spl32_33
<=> v1_group_1(sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_33])]) ).
fof(f935,plain,
v1_group_1(sF22),
inference(subsumption_resolution,[],[f934,f304]) ).
fof(f934,plain,
( v1_group_1(sF22)
| ~ m1_subset_1(sK16,sF28) ),
inference(superposition,[],[f617,f296]) ).
fof(f617,plain,
! [X0] :
( v1_group_1(k5_group_4(sK11,X0))
| ~ m1_subset_1(X0,sF28) ),
inference(forward_demodulation,[],[f616,f303]) ).
fof(f616,plain,
! [X0] :
( v1_group_1(k5_group_4(sK11,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(sF20)) ),
inference(subsumption_resolution,[],[f615,f253]) ).
fof(f615,plain,
! [X0] :
( v1_group_1(k5_group_4(sK11,X0))
| ~ l1_group_1(sK11)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF20)) ),
inference(subsumption_resolution,[],[f614,f255]) ).
fof(f614,plain,
! [X0] :
( v1_group_1(k5_group_4(sK11,X0))
| v3_struct_0(sK11)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| ~ l1_group_1(sK11) ),
inference(subsumption_resolution,[],[f613,f268]) ).
fof(f613,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| ~ v4_group_1(sK11)
| v1_group_1(k5_group_4(sK11,X0))
| ~ l1_group_1(sK11)
| v3_struct_0(sK11) ),
inference(subsumption_resolution,[],[f584,f254]) ).
fof(f584,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| ~ v3_group_1(sK11)
| v1_group_1(k5_group_4(sK11,X0))
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| v3_struct_0(sK11) ),
inference(superposition,[],[f285,f294]) ).
fof(f285,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| v1_group_1(k5_group_4(X0,X1)) ),
inference(cnf_transformation,[],[f134]) ).
fof(f855,plain,
( spl32_31
| ~ spl32_32
| ~ spl32_33 ),
inference(avatar_split_clause,[],[f842,f852,f848,f844]) ).
fof(f842,plain,
( ~ v1_group_1(sF22)
| ~ m1_group_2(sF22,sK11)
| sF22 = sF25 ),
inference(subsumption_resolution,[],[f841,f688]) ).
fof(f688,plain,
v1_group_1(sF25),
inference(subsumption_resolution,[],[f687,f255]) ).
fof(f687,plain,
( v1_group_1(sF25)
| v3_struct_0(sK11) ),
inference(subsumption_resolution,[],[f686,f254]) ).
fof(f686,plain,
( ~ v3_group_1(sK11)
| v3_struct_0(sK11)
| v1_group_1(sF25) ),
inference(subsumption_resolution,[],[f685,f257]) ).
fof(f257,plain,
m1_group_2(sK13,sK11),
inference(cnf_transformation,[],[f190]) ).
fof(f685,plain,
( ~ m1_group_2(sK13,sK11)
| ~ v3_group_1(sK11)
| v3_struct_0(sK11)
| v1_group_1(sF25) ),
inference(subsumption_resolution,[],[f684,f264]) ).
fof(f264,plain,
m1_group_2(sK14,sK11),
inference(cnf_transformation,[],[f190]) ).
fof(f684,plain,
( ~ m1_group_2(sK14,sK11)
| v1_group_1(sF25)
| v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ m1_group_2(sK13,sK11) ),
inference(subsumption_resolution,[],[f683,f268]) ).
fof(f683,plain,
( ~ v4_group_1(sK11)
| ~ m1_group_2(sK14,sK11)
| v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ m1_group_2(sK13,sK11)
| v1_group_1(sF25) ),
inference(subsumption_resolution,[],[f682,f253]) ).
fof(f682,plain,
( ~ l1_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ m1_group_2(sK13,sK11)
| v3_struct_0(sK11)
| v1_group_1(sF25)
| ~ m1_group_2(sK14,sK11)
| ~ v3_group_1(sK11) ),
inference(superposition,[],[f239,f299]) ).
fof(f239,plain,
! [X2,X0,X1] :
( v1_group_1(k8_group_4(X2,X1,X0))
| ~ m1_group_2(X1,X2)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ m1_group_2(X0,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2] :
( ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ( m1_group_2(k8_group_4(X2,X1,X0),X2)
& v1_group_1(k8_group_4(X2,X1,X0)) )
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_group_2(X0,X2) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
! [X2,X1,X0] :
( ~ m1_group_2(X1,X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( m1_group_2(k8_group_4(X0,X1,X2),X0)
& v1_group_1(k8_group_4(X0,X1,X2)) )
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X2,X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X1,X0,X2] :
( ( m1_group_2(k8_group_4(X0,X1,X2),X0)
& v1_group_1(k8_group_4(X0,X1,X2)) )
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X1,X0,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> ( m1_group_2(k8_group_4(X0,X1,X2),X0)
& v1_group_1(k8_group_4(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_group_4) ).
fof(f841,plain,
( sF22 = sF25
| ~ v1_group_1(sF25)
| ~ v1_group_1(sF22)
| ~ m1_group_2(sF22,sK11) ),
inference(subsumption_resolution,[],[f840,f255]) ).
fof(f840,plain,
( v3_struct_0(sK11)
| ~ m1_group_2(sF22,sK11)
| sF22 = sF25
| ~ v1_group_1(sF25)
| ~ v1_group_1(sF22) ),
inference(subsumption_resolution,[],[f839,f268]) ).
fof(f839,plain,
( ~ v4_group_1(sK11)
| ~ v1_group_1(sF22)
| ~ v1_group_1(sF25)
| ~ m1_group_2(sF22,sK11)
| v3_struct_0(sK11)
| sF22 = sF25 ),
inference(subsumption_resolution,[],[f838,f253]) ).
fof(f838,plain,
( ~ m1_group_2(sF22,sK11)
| ~ l1_group_1(sK11)
| sF22 = sF25
| ~ v4_group_1(sK11)
| ~ v1_group_1(sF22)
| ~ v1_group_1(sF25)
| v3_struct_0(sK11) ),
inference(subsumption_resolution,[],[f837,f701]) ).
fof(f701,plain,
m1_group_2(sF25,sK11),
inference(subsumption_resolution,[],[f700,f257]) ).
fof(f700,plain,
( ~ m1_group_2(sK13,sK11)
| m1_group_2(sF25,sK11) ),
inference(subsumption_resolution,[],[f699,f254]) ).
fof(f699,plain,
( m1_group_2(sF25,sK11)
| ~ v3_group_1(sK11)
| ~ m1_group_2(sK13,sK11) ),
inference(subsumption_resolution,[],[f698,f255]) ).
fof(f698,plain,
( v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ m1_group_2(sK13,sK11)
| m1_group_2(sF25,sK11) ),
inference(subsumption_resolution,[],[f697,f268]) ).
fof(f697,plain,
( ~ v4_group_1(sK11)
| m1_group_2(sF25,sK11)
| v3_struct_0(sK11)
| ~ m1_group_2(sK13,sK11)
| ~ v3_group_1(sK11) ),
inference(subsumption_resolution,[],[f696,f253]) ).
fof(f696,plain,
( ~ l1_group_1(sK11)
| ~ v3_group_1(sK11)
| v3_struct_0(sK11)
| ~ m1_group_2(sK13,sK11)
| m1_group_2(sF25,sK11)
| ~ v4_group_1(sK11) ),
inference(subsumption_resolution,[],[f692,f264]) ).
fof(f692,plain,
( ~ m1_group_2(sK14,sK11)
| ~ l1_group_1(sK11)
| ~ v3_group_1(sK11)
| m1_group_2(sF25,sK11)
| v3_struct_0(sK11)
| ~ m1_group_2(sK13,sK11)
| ~ v4_group_1(sK11) ),
inference(superposition,[],[f240,f299]) ).
fof(f240,plain,
! [X2,X0,X1] :
( m1_group_2(k8_group_4(X2,X1,X0),X2)
| ~ v4_group_1(X2)
| v3_struct_0(X2)
| ~ m1_group_2(X0,X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f837,plain,
( ~ m1_group_2(sF25,sK11)
| ~ v1_group_1(sF22)
| v3_struct_0(sK11)
| sF22 = sF25
| ~ l1_group_1(sK11)
| ~ v1_group_1(sF25)
| ~ m1_group_2(sF22,sK11)
| ~ v4_group_1(sK11) ),
inference(subsumption_resolution,[],[f836,f254]) ).
fof(f836,plain,
( ~ v3_group_1(sK11)
| ~ v1_group_1(sF25)
| ~ m1_group_2(sF25,sK11)
| ~ l1_group_1(sK11)
| v3_struct_0(sK11)
| ~ v1_group_1(sF22)
| ~ m1_group_2(sF22,sK11)
| sF22 = sF25
| ~ v4_group_1(sK11) ),
inference(resolution,[],[f789,f245]) ).
fof(f245,plain,
! [X2,X0,X1] :
( ~ r1_group_2(X1,X2,X0)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_1(X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X0,X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X0,X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ( ( r1_group_2(X1,X2,X0)
| X0 != X2 )
& ( X0 = X2
| ~ r1_group_2(X1,X2,X0) ) )
| ~ v1_group_1(X0) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
! [X2,X1,X0] :
( ~ v3_group_1(X1)
| ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ m1_group_2(X2,X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ( ( r1_group_2(X1,X0,X2)
| X0 != X2 )
& ( X0 = X2
| ~ r1_group_2(X1,X0,X2) ) )
| ~ v1_group_1(X2) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X2,X1,X0] :
( ~ v3_group_1(X1)
| ~ m1_group_2(X0,X1)
| ~ v1_group_1(X0)
| ~ m1_group_2(X2,X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ( r1_group_2(X1,X0,X2)
<=> X0 = X2 )
| ~ v1_group_1(X2) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( r1_group_2(X1,X0,X2)
<=> X0 = X2 )
| v3_struct_0(X1)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X0)
& m1_group_2(X0,X1)
& v1_group_1(X2)
& l1_group_1(X1)
& m1_group_2(X2,X1)
& v4_group_1(X1)
& v3_group_1(X1) )
=> ( r1_group_2(X1,X0,X2)
<=> X0 = X2 ) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X1,X0,X2] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& m1_group_2(X2,X0)
& v1_group_1(X2)
& v4_group_1(X0)
& v1_group_1(X1)
& m1_group_2(X1,X0)
& ~ v3_struct_0(X0) )
=> ( r1_group_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
fof(f789,plain,
r1_group_2(sK11,sF25,sF22),
inference(subsumption_resolution,[],[f788,f304]) ).
fof(f788,plain,
( r1_group_2(sK11,sF25,sF22)
| ~ m1_subset_1(sK16,sF28) ),
inference(forward_demodulation,[],[f787,f312]) ).
fof(f312,plain,
k2_xboole_0(sF29,sF30) = sK16,
inference(forward_demodulation,[],[f307,f308]) ).
fof(f308,plain,
sK16 = sF31,
inference(definition_folding,[],[f260,f307,f306,f305]) ).
fof(f305,plain,
u1_struct_0(sK13) = sF29,
introduced(function_definition,[]) ).
fof(f306,plain,
sF30 = u1_struct_0(sK14),
introduced(function_definition,[]) ).
fof(f260,plain,
k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)) = sK16,
inference(cnf_transformation,[],[f190]) ).
fof(f307,plain,
k2_xboole_0(sF29,sF30) = sF31,
introduced(function_definition,[]) ).
fof(f787,plain,
( ~ m1_subset_1(k2_xboole_0(sF29,sF30),sF28)
| r1_group_2(sK11,sF25,sF22) ),
inference(forward_demodulation,[],[f786,f280]) ).
fof(f280,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f786,plain,
( ~ m1_subset_1(k2_xboole_0(sF30,sF29),sF28)
| r1_group_2(sK11,sF25,sF22) ),
inference(forward_demodulation,[],[f785,f305]) ).
fof(f785,plain,
( r1_group_2(sK11,sF25,sF22)
| ~ m1_subset_1(k2_xboole_0(sF30,u1_struct_0(sK13)),sF28) ),
inference(forward_demodulation,[],[f784,f280]) ).
fof(f784,plain,
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),sF30),sF28)
| r1_group_2(sK11,sF25,sF22) ),
inference(forward_demodulation,[],[f783,f306]) ).
fof(f783,plain,
( r1_group_2(sK11,sF25,sF22)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),sF28) ),
inference(forward_demodulation,[],[f782,f296]) ).
fof(f782,plain,
( r1_group_2(sK11,sF25,k5_group_4(sK11,sK16))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),sF28) ),
inference(forward_demodulation,[],[f781,f303]) ).
fof(f781,plain,
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(sF20))
| r1_group_2(sK11,sF25,k5_group_4(sK11,sK16)) ),
inference(forward_demodulation,[],[f780,f312]) ).
fof(f780,plain,
( r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(sF29,sF30)))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(sF20)) ),
inference(forward_demodulation,[],[f779,f294]) ).
fof(f779,plain,
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(u1_struct_0(sK11)))
| r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(sF29,sF30))) ),
inference(forward_demodulation,[],[f778,f280]) ).
fof(f778,plain,
( r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(sF30,sF29)))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(forward_demodulation,[],[f777,f305]) ).
fof(f777,plain,
( r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(sF30,u1_struct_0(sK13))))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(forward_demodulation,[],[f776,f280]) ).
fof(f776,plain,
( r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(u1_struct_0(sK13),sF30)))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(forward_demodulation,[],[f775,f306]) ).
fof(f775,plain,
( r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14))))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(subsumption_resolution,[],[f774,f264]) ).
fof(f774,plain,
( r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14))))
| ~ m1_group_2(sK14,sK11)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(subsumption_resolution,[],[f773,f254]) ).
fof(f773,plain,
( ~ v3_group_1(sK11)
| r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14))))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(u1_struct_0(sK11)))
| ~ m1_group_2(sK14,sK11) ),
inference(subsumption_resolution,[],[f772,f255]) ).
fof(f772,plain,
( v3_struct_0(sK11)
| r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14))))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(u1_struct_0(sK11)))
| ~ m1_group_2(sK14,sK11)
| ~ v3_group_1(sK11) ),
inference(subsumption_resolution,[],[f771,f253]) ).
fof(f771,plain,
( ~ l1_group_1(sK11)
| r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14))))
| ~ v3_group_1(sK11)
| ~ m1_group_2(sK14,sK11)
| v3_struct_0(sK11)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(subsumption_resolution,[],[f770,f257]) ).
fof(f770,plain,
( ~ m1_group_2(sK13,sK11)
| v3_struct_0(sK11)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(u1_struct_0(sK11)))
| ~ m1_group_2(sK14,sK11)
| ~ v3_group_1(sK11)
| r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14))))
| ~ l1_group_1(sK11) ),
inference(subsumption_resolution,[],[f749,f268]) ).
fof(f749,plain,
( ~ v4_group_1(sK11)
| v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),k1_zfmisc_1(u1_struct_0(sK11)))
| r1_group_2(sK11,sF25,k5_group_4(sK11,k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14))))
| ~ m1_group_2(sK14,sK11)
| ~ l1_group_1(sK11)
| ~ m1_group_2(sK13,sK11) ),
inference(superposition,[],[f292,f299]) ).
fof(f292,plain,
! [X2,X0,X1] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))
| ~ m1_group_2(X1,X0)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ v4_group_1(X0) ),
inference(equality_resolution,[],[f227]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ v4_group_1(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3)) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) = X3
=> r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_latsubgr) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % 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 : n027.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 22:53:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43 % (17642)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 % (17658)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.47 % (17650)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 % (17643)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 % (17666)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)
% 0.19/0.50 % (17649)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (17641)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)
% 0.19/0.51 % (17651)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (17659)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)
% 0.19/0.52 % (17654)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)
% 1.33/0.52 % (17644)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)
% 1.33/0.52 % (17653)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.52 % (17663)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)
% 1.33/0.52 % (17639)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)
% 1.33/0.52 % (17655)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)
% 1.33/0.53 % (17668)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.33/0.53 % (17645)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)
% 1.33/0.53 % (17640)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)
% 1.46/0.53 % (17646)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.53 % (17667)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)
% 1.46/0.54 % (17669)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)
% 1.46/0.54 % (17647)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.46/0.54 % (17660)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)
% 1.46/0.54 % (17647)Instruction limit reached!
% 1.46/0.54 % (17647)------------------------------
% 1.46/0.54 % (17647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (17647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (17647)Termination reason: Unknown
% 1.46/0.54 % (17647)Termination phase: Property scanning
% 1.46/0.54
% 1.46/0.54 % (17647)Memory used [KB]: 1023
% 1.46/0.54 % (17647)Time elapsed: 0.003 s
% 1.46/0.54 % (17647)Instructions burned: 4 (million)
% 1.46/0.54 % (17647)------------------------------
% 1.46/0.54 % (17647)------------------------------
% 1.46/0.54 % (17658)First to succeed.
% 1.46/0.54 % (17658)Refutation found. Thanks to Tanya!
% 1.46/0.54 % SZS status Theorem for theBenchmark
% 1.46/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.54 % (17658)------------------------------
% 1.46/0.54 % (17658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (17658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (17658)Termination reason: Refutation
% 1.46/0.54
% 1.46/0.54 % (17658)Memory used [KB]: 6140
% 1.46/0.54 % (17658)Time elapsed: 0.164 s
% 1.46/0.54 % (17658)Instructions burned: 27 (million)
% 1.46/0.54 % (17658)------------------------------
% 1.46/0.54 % (17658)------------------------------
% 1.46/0.54 % (17635)Success in time 0.195 s
%------------------------------------------------------------------------------