TSTP Solution File: GRP632+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP632+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 : Mon May 20 21:10:47 EDT 2024
% Result : Theorem 0.80s 0.82s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 33
% Syntax : Number of formulae : 201 ( 38 unt; 0 def)
% Number of atoms : 697 ( 60 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 848 ( 352 ~; 403 |; 66 &)
% ( 12 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 12 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-6 aty)
% Number of variables : 159 ( 155 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f942,plain,
$false,
inference(avatar_sat_refutation,[],[f277,f460,f463,f471,f504,f533,f595,f693,f703,f916,f937,f941]) ).
fof(f941,plain,
( ~ spl29_1
| spl29_13
| ~ spl29_21 ),
inference(avatar_contradiction_clause,[],[f940]) ).
fof(f940,plain,
( $false
| ~ spl29_1
| spl29_13
| ~ spl29_21 ),
inference(subsumption_resolution,[],[f935,f272]) ).
fof(f272,plain,
( sP22(sK1)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl29_1
<=> sP22(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).
fof(f935,plain,
( ~ sP22(sK1)
| spl29_13
| ~ spl29_21 ),
inference(forward_demodulation,[],[f459,f692]) ).
fof(f692,plain,
( sK1 = k5_relat_1(sK1,sF26)
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f690,plain,
( spl29_21
<=> sK1 = k5_relat_1(sK1,sF26) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_21])]) ).
fof(f459,plain,
( ~ sP22(k5_relat_1(sK1,sF26))
| spl29_13 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl29_13
<=> sP22(k5_relat_1(sK1,sF26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_13])]) ).
fof(f937,plain,
( ~ spl29_2
| spl29_4
| ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11
| ~ spl29_12
| ~ spl29_20 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f936,plain,
( $false
| ~ spl29_2
| spl29_4
| ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11
| ~ spl29_12
| ~ spl29_20 ),
inference(subsumption_resolution,[],[f922,f454]) ).
fof(f454,plain,
( v1_funct_1(sK1)
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f453,plain,
( spl29_12
<=> v1_funct_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_12])]) ).
fof(f922,plain,
( ~ v1_funct_1(sK1)
| ~ spl29_2
| spl29_4
| ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11
| ~ spl29_20 ),
inference(subsumption_resolution,[],[f921,f276]) ).
fof(f276,plain,
( sP21(sK1)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl29_2
<=> sP21(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_2])]) ).
fof(f921,plain,
( ~ sP21(sK1)
| ~ v1_funct_1(sK1)
| spl29_4
| ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11
| ~ spl29_20 ),
inference(forward_demodulation,[],[f920,f813]) ).
fof(f813,plain,
( sK1 = k5_relat_1(sF26,sK1)
| ~ spl29_8
| ~ spl29_10
| ~ spl29_20 ),
inference(subsumption_resolution,[],[f811,f687]) ).
fof(f687,plain,
( m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl29_20 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f686,plain,
( spl29_20
<=> m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_20])]) ).
fof(f811,plain,
( sK1 = k5_relat_1(sF26,sK1)
| ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl29_8
| ~ spl29_10 ),
inference(superposition,[],[f601,f402]) ).
fof(f402,plain,
! [X0,X1] :
( k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X0,sF26,X1) = X1
| ~ m2_relset_1(X1,u1_struct_0(sK0),X0) ),
inference(superposition,[],[f338,f396]) ).
fof(f396,plain,
sF26 = k6_relat_1(u1_struct_0(sK0)),
inference(forward_demodulation,[],[f395,f264]) ).
fof(f264,plain,
k6_autgroup(sK0,sF25) = sF26,
introduced(function_definition,[new_symbols(definition,[sF26])]) ).
fof(f395,plain,
k6_autgroup(sK0,sF25) = k6_relat_1(u1_struct_0(sK0)),
inference(subsumption_resolution,[],[f394,f162]) ).
fof(f162,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
? [X0] :
( ? [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
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
? [X0] :
( ? [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
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_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),X1,k6_autgroup(X0,k2_group_1(X0))) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1 ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_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),X1,k6_autgroup(X0,k2_group_1(X0))) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_autgroup) ).
fof(f394,plain,
( k6_autgroup(sK0,sF25) = k6_relat_1(u1_struct_0(sK0))
| ~ l1_group_1(sK0) ),
inference(subsumption_resolution,[],[f393,f161]) ).
fof(f161,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f93]) ).
fof(f393,plain,
( k6_autgroup(sK0,sF25) = k6_relat_1(u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(subsumption_resolution,[],[f392,f160]) ).
fof(f160,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f93]) ).
fof(f392,plain,
( k6_autgroup(sK0,sF25) = k6_relat_1(u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(subsumption_resolution,[],[f391,f159]) ).
fof(f159,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f93]) ).
fof(f391,plain,
( k6_autgroup(sK0,sF25) = k6_relat_1(u1_struct_0(sK0))
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(subsumption_resolution,[],[f390,f158]) ).
fof(f158,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f93]) ).
fof(f390,plain,
( k6_autgroup(sK0,sF25) = k6_relat_1(u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(superposition,[],[f386,f263]) ).
fof(f263,plain,
k2_group_1(sK0) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f386,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_relat_1(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_demodulation,[],[f174,f212]) ).
fof(f212,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(f174,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f338,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),X2) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(forward_demodulation,[],[f210,f212]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,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(f601,plain,
( k5_relat_1(sF26,sK1) = k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sF26,sK1)
| ~ spl29_8
| ~ spl29_10 ),
inference(resolution,[],[f464,f446]) ).
fof(f446,plain,
( m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f445,plain,
( spl29_10
<=> m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_10])]) ).
fof(f464,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),X1,X2,sF26,X0) = k5_relat_1(sF26,X0) )
| ~ spl29_8 ),
inference(resolution,[],[f438,f215]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X4,X0,X1)
| ~ m1_relset_1(X5,X2,X3)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( 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(f438,plain,
( m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl29_8
<=> m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).
fof(f920,plain,
( ~ sP21(k5_relat_1(sF26,sK1))
| ~ v1_funct_1(sK1)
| spl29_4
| ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11 ),
inference(subsumption_resolution,[],[f919,f446]) ).
fof(f919,plain,
( ~ sP21(k5_relat_1(sF26,sK1))
| ~ v1_funct_1(sK1)
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_4
| ~ spl29_8
| ~ spl29_9
| ~ spl29_11 ),
inference(subsumption_resolution,[],[f539,f450]) ).
fof(f450,plain,
( v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl29_11
<=> v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_11])]) ).
fof(f539,plain,
( ~ sP21(k5_relat_1(sF26,sK1))
| ~ v1_funct_1(sK1)
| ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_4
| ~ spl29_8
| ~ spl29_9 ),
inference(subsumption_resolution,[],[f538,f438]) ).
fof(f538,plain,
( ~ sP21(k5_relat_1(sF26,sK1))
| ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(sK1)
| ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_4
| ~ spl29_9 ),
inference(subsumption_resolution,[],[f435,f442]) ).
fof(f442,plain,
( v1_funct_2(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl29_9 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f441,plain,
( spl29_9
<=> v1_funct_2(sF26,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_9])]) ).
fof(f435,plain,
( ~ sP21(k5_relat_1(sF26,sK1))
| ~ v1_funct_2(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(sK1)
| ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_4 ),
inference(subsumption_resolution,[],[f434,f307]) ).
fof(f307,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| spl29_4 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl29_4
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_4])]) ).
fof(f434,plain,
( ~ sP21(k5_relat_1(sF26,sK1))
| ~ v1_funct_2(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(sK1)
| ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f431,f398]) ).
fof(f398,plain,
v1_funct_1(sF26),
inference(superposition,[],[f248,f396]) ).
fof(f248,plain,
! [X0] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f88]) ).
fof(f88,plain,
! [X0] :
( v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f84]) ).
fof(f84,plain,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v4_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_partfun1) ).
fof(f431,plain,
( ~ sP21(k5_relat_1(sF26,sK1))
| ~ v1_funct_1(sF26)
| ~ v1_funct_2(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(sK1)
| ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[],[f320,f181]) ).
fof(f181,plain,
! [X2,X3,X0,X1,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(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(f320,plain,
~ sP21(k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sF26,sK1)),
inference(backward_demodulation,[],[f268,f292]) ).
fof(f292,plain,
sF28 = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sF26,sK1),
inference(forward_demodulation,[],[f267,f260]) ).
fof(f260,plain,
u1_struct_0(sK0) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f267,plain,
k7_funct_2(sF23,sF23,sF23,sF26,sK1) = sF28,
introduced(function_definition,[new_symbols(definition,[sF28])]) ).
fof(f268,plain,
~ sP21(sF28),
inference(definition_folding,[],[f257,f267,f264,f263,f260,f260,f260]) ).
fof(f257,plain,
~ sP21(k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),sK1)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP21])]) ).
fof(f916,plain,
( spl29_4
| spl29_12 ),
inference(avatar_contradiction_clause,[],[f915]) ).
fof(f915,plain,
( $false
| spl29_4
| spl29_12 ),
inference(subsumption_resolution,[],[f914,f158]) ).
fof(f914,plain,
( v3_struct_0(sK0)
| spl29_4
| spl29_12 ),
inference(subsumption_resolution,[],[f913,f162]) ).
fof(f913,plain,
( ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_12 ),
inference(subsumption_resolution,[],[f912,f161]) ).
fof(f912,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_12 ),
inference(subsumption_resolution,[],[f911,f160]) ).
fof(f911,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_12 ),
inference(subsumption_resolution,[],[f910,f159]) ).
fof(f910,plain,
( ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_12 ),
inference(subsumption_resolution,[],[f907,f307]) ).
fof(f907,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_12 ),
inference(resolution,[],[f586,f279]) ).
fof(f279,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(backward_demodulation,[],[f278,f261]) ).
fof(f261,plain,
k4_autgroup(sK0) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f278,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),sF24),
inference(backward_demodulation,[],[f262,f260]) ).
fof(f262,plain,
m2_fraenkel(sK1,sF23,sF23,sF24),
inference(definition_folding,[],[f157,f261,f260,f260]) ).
fof(f157,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f93]) ).
fof(f586,plain,
( ! [X0] :
( ~ m2_fraenkel(sK1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) )
| spl29_12 ),
inference(resolution,[],[f578,f171]) ).
fof(f171,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_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(f578,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| ~ m2_fraenkel(sK1,X1,X2,X0)
| v1_xboole_0(X2) )
| spl29_12 ),
inference(resolution,[],[f455,f189]) ).
fof(f189,plain,
! [X2,X3,X0,X1] :
( v1_funct_1(X3)
| ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f455,plain,
( ~ v1_funct_1(sK1)
| spl29_12 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f703,plain,
( ~ spl29_10
| spl29_20 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f702,plain,
( $false
| ~ spl29_10
| spl29_20 ),
inference(subsumption_resolution,[],[f701,f446]) ).
fof(f701,plain,
( ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_20 ),
inference(resolution,[],[f688,f229]) ).
fof(f229,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f688,plain,
( ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_20 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f693,plain,
( ~ spl29_20
| spl29_21
| ~ spl29_8
| ~ spl29_10 ),
inference(avatar_split_clause,[],[f608,f445,f437,f690,f686]) ).
fof(f608,plain,
( sK1 = k5_relat_1(sK1,sF26)
| ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl29_8
| ~ spl29_10 ),
inference(subsumption_resolution,[],[f607,f438]) ).
fof(f607,plain,
( ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| sK1 = k5_relat_1(sK1,sF26)
| ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl29_10 ),
inference(forward_demodulation,[],[f606,f396]) ).
fof(f606,plain,
( sK1 = k5_relat_1(sK1,sF26)
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl29_10 ),
inference(forward_demodulation,[],[f602,f396]) ).
fof(f602,plain,
( sK1 = k5_relat_1(sK1,k6_relat_1(u1_struct_0(sK0)))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl29_10 ),
inference(superposition,[],[f546,f340]) ).
fof(f340,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X1,X1,X1,X2,k6_relat_1(X1)) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(forward_demodulation,[],[f211,f212]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2 ),
inference(cnf_transformation,[],[f125]) ).
fof(f546,plain,
( ! [X2,X0,X1] :
( k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),X1,X2,sK1,X0) = k5_relat_1(sK1,X0)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl29_10 ),
inference(resolution,[],[f446,f215]) ).
fof(f595,plain,
( spl29_4
| spl29_11 ),
inference(avatar_contradiction_clause,[],[f594]) ).
fof(f594,plain,
( $false
| spl29_4
| spl29_11 ),
inference(subsumption_resolution,[],[f593,f158]) ).
fof(f593,plain,
( v3_struct_0(sK0)
| spl29_4
| spl29_11 ),
inference(subsumption_resolution,[],[f592,f162]) ).
fof(f592,plain,
( ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_11 ),
inference(subsumption_resolution,[],[f591,f161]) ).
fof(f591,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_11 ),
inference(subsumption_resolution,[],[f590,f160]) ).
fof(f590,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_11 ),
inference(subsumption_resolution,[],[f589,f159]) ).
fof(f589,plain,
( ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_11 ),
inference(subsumption_resolution,[],[f588,f279]) ).
fof(f588,plain,
( ~ m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_11 ),
inference(resolution,[],[f553,f171]) ).
fof(f553,plain,
( ! [X0] :
( ~ m1_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),X0) )
| spl29_4
| spl29_11 ),
inference(subsumption_resolution,[],[f551,f307]) ).
fof(f551,plain,
( ! [X0] :
( ~ m1_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),X0)
| v1_xboole_0(u1_struct_0(sK0)) )
| spl29_11 ),
inference(resolution,[],[f451,f190]) ).
fof(f190,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X3,X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f451,plain,
( ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_11 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f533,plain,
~ spl29_4,
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| ~ spl29_4 ),
inference(subsumption_resolution,[],[f531,f162]) ).
fof(f531,plain,
( ~ l1_group_1(sK0)
| ~ spl29_4 ),
inference(resolution,[],[f512,f206]) ).
fof(f206,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(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(f512,plain,
( ~ l1_struct_0(sK0)
| ~ spl29_4 ),
inference(subsumption_resolution,[],[f507,f158]) ).
fof(f507,plain,
( ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| ~ spl29_4 ),
inference(resolution,[],[f308,f166]) ).
fof(f166,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,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(f308,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f504,plain,
( spl29_4
| spl29_10 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f503,plain,
( $false
| spl29_4
| spl29_10 ),
inference(subsumption_resolution,[],[f502,f158]) ).
fof(f502,plain,
( v3_struct_0(sK0)
| spl29_4
| spl29_10 ),
inference(subsumption_resolution,[],[f501,f162]) ).
fof(f501,plain,
( ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_10 ),
inference(subsumption_resolution,[],[f500,f161]) ).
fof(f500,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_10 ),
inference(subsumption_resolution,[],[f499,f160]) ).
fof(f499,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_10 ),
inference(subsumption_resolution,[],[f498,f159]) ).
fof(f498,plain,
( ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_10 ),
inference(subsumption_resolution,[],[f497,f279]) ).
fof(f497,plain,
( ~ m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| spl29_4
| spl29_10 ),
inference(resolution,[],[f477,f171]) ).
fof(f477,plain,
( ! [X0] :
( ~ m1_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),X0) )
| spl29_4
| spl29_10 ),
inference(subsumption_resolution,[],[f475,f307]) ).
fof(f475,plain,
( ! [X0] :
( ~ m1_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),X0)
| v1_xboole_0(u1_struct_0(sK0)) )
| spl29_10 ),
inference(resolution,[],[f472,f191]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(X3,X0,X1)
| ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f472,plain,
( ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_10 ),
inference(resolution,[],[f447,f230]) ).
fof(f230,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f447,plain,
( ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_10 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f471,plain,
( ~ spl29_8
| spl29_9 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl29_8
| spl29_9 ),
inference(subsumption_resolution,[],[f469,f438]) ).
fof(f469,plain,
( ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_9 ),
inference(subsumption_resolution,[],[f468,f400]) ).
fof(f400,plain,
v1_partfun1(sF26,u1_struct_0(sK0),u1_struct_0(sK0)),
inference(superposition,[],[f280,f396]) ).
fof(f280,plain,
! [X0] : v1_partfun1(k6_relat_1(X0),X0,X0),
inference(forward_demodulation,[],[f213,f212]) ).
fof(f213,plain,
! [X0] : v1_partfun1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( m2_relset_1(k6_partfun1(X0),X0,X0)
& v1_partfun1(k6_partfun1(X0),X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(f468,plain,
( ~ v1_partfun1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_9 ),
inference(subsumption_resolution,[],[f466,f398]) ).
fof(f466,plain,
( ~ v1_funct_1(sF26)
| ~ v1_partfun1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_9 ),
inference(resolution,[],[f443,f256]) ).
fof(f256,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_partfun1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f443,plain,
( ~ v1_funct_2(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_9 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f463,plain,
spl29_8,
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f462,plain,
( $false
| spl29_8 ),
inference(subsumption_resolution,[],[f461,f401]) ).
fof(f401,plain,
m2_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0)),
inference(superposition,[],[f281,f396]) ).
fof(f281,plain,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(forward_demodulation,[],[f214,f212]) ).
fof(f214,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f461,plain,
( ~ m2_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_8 ),
inference(resolution,[],[f439,f230]) ).
fof(f439,plain,
( ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_8 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f460,plain,
( ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11
| ~ spl29_12
| ~ spl29_13
| spl29_4 ),
inference(avatar_split_clause,[],[f433,f306,f457,f453,f449,f445,f441,f437]) ).
fof(f433,plain,
( ~ sP22(k5_relat_1(sK1,sF26))
| ~ v1_funct_1(sK1)
| ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| spl29_4 ),
inference(subsumption_resolution,[],[f432,f307]) ).
fof(f432,plain,
( ~ sP22(k5_relat_1(sK1,sF26))
| ~ v1_funct_1(sK1)
| ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f430,f398]) ).
fof(f430,plain,
( ~ sP22(k5_relat_1(sK1,sF26))
| ~ v1_funct_1(sK1)
| ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(sF26)
| ~ v1_funct_2(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(sF26,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[],[f316,f181]) ).
fof(f316,plain,
~ sP22(k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sF26)),
inference(backward_demodulation,[],[f266,f291]) ).
fof(f291,plain,
sF27 = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,sF26),
inference(forward_demodulation,[],[f265,f260]) ).
fof(f265,plain,
k7_funct_2(sF23,sF23,sF23,sK1,sF26) = sF27,
introduced(function_definition,[new_symbols(definition,[sF27])]) ).
fof(f266,plain,
~ sP22(sF27),
inference(definition_folding,[],[f258,f265,f264,f263,f260,f260,f260]) ).
fof(f258,plain,
~ sP22(k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_autgroup(sK0,k2_group_1(sK0)))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP22])]) ).
fof(f277,plain,
( spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f259,f274,f270]) ).
fof(f259,plain,
( sP21(sK1)
| sP22(sK1) ),
inference(inequality_splitting,[],[f156,f258,f257]) ).
fof(f156,plain,
( sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),sK1)
| sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_autgroup(sK0,k2_group_1(sK0))) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP632+1 : TPTP v8.2.0. Released v3.4.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 05:10:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.77 % (11854)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.59/0.77 % (11846)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.59/0.77 % (11848)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.59/0.77 % (11850)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.59/0.77 % (11849)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.59/0.77 % (11851)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.59/0.77 % (11852)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.59/0.77 % (11853)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.59/0.77 % (11854)Refutation not found, incomplete strategy% (11854)------------------------------
% 0.59/0.77 % (11854)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (11854)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (11854)Memory used [KB]: 1142
% 0.59/0.77 % (11854)Time elapsed: 0.003 s
% 0.59/0.77 % (11854)Instructions burned: 5 (million)
% 0.59/0.77 % (11854)------------------------------
% 0.59/0.77 % (11854)------------------------------
% 0.59/0.78 % (11846)Refutation not found, incomplete strategy% (11846)------------------------------
% 0.59/0.78 % (11846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (11846)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78 % (11850)Refutation not found, incomplete strategy% (11850)------------------------------
% 0.59/0.78 % (11850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (11850)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (11850)Memory used [KB]: 1143
% 0.59/0.78 % (11850)Time elapsed: 0.004 s
% 0.59/0.78 % (11850)Instructions burned: 4 (million)
% 0.59/0.78
% 0.59/0.78 % (11846)Memory used [KB]: 1146
% 0.59/0.78 % (11846)Time elapsed: 0.005 s
% 0.59/0.78 % (11846)Instructions burned: 5 (million)
% 0.59/0.78 % (11850)------------------------------
% 0.59/0.78 % (11850)------------------------------
% 0.59/0.78 % (11852)Refutation not found, incomplete strategy% (11852)------------------------------
% 0.59/0.78 % (11852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (11846)------------------------------
% 0.59/0.78 % (11846)------------------------------
% 0.59/0.78 % (11852)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (11852)Memory used [KB]: 1153
% 0.59/0.78 % (11852)Time elapsed: 0.005 s
% 0.59/0.78 % (11852)Instructions burned: 6 (million)
% 0.59/0.78 % (11857)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.59/0.78 % (11852)------------------------------
% 0.59/0.78 % (11852)------------------------------
% 0.59/0.78 % (11860)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.59/0.78 % (11859)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.59/0.78 % (11861)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.59/0.79 % (11860)Refutation not found, incomplete strategy% (11860)------------------------------
% 0.59/0.79 % (11860)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (11860)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (11860)Memory used [KB]: 1153
% 0.59/0.79 % (11860)Time elapsed: 0.007 s
% 0.59/0.79 % (11860)Instructions burned: 7 (million)
% 0.59/0.79 % (11860)------------------------------
% 0.59/0.79 % (11860)------------------------------
% 0.59/0.79 % (11866)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.59/0.79 % (11851)Instruction limit reached!
% 0.59/0.79 % (11851)------------------------------
% 0.59/0.79 % (11851)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (11851)Termination reason: Unknown
% 0.59/0.79 % (11851)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (11851)Memory used [KB]: 1613
% 0.59/0.79 % (11851)Time elapsed: 0.020 s
% 0.59/0.79 % (11851)Instructions burned: 34 (million)
% 0.59/0.79 % (11851)------------------------------
% 0.59/0.79 % (11851)------------------------------
% 0.59/0.79 % (11857)Instruction limit reached!
% 0.59/0.79 % (11857)------------------------------
% 0.59/0.79 % (11857)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (11857)Termination reason: Unknown
% 0.59/0.79 % (11857)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (11857)Memory used [KB]: 2102
% 0.59/0.79 % (11857)Time elapsed: 0.018 s
% 0.59/0.79 % (11857)Instructions burned: 55 (million)
% 0.59/0.79 % (11857)------------------------------
% 0.59/0.79 % (11857)------------------------------
% 0.59/0.80 % (11869)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.59/0.80 % (11871)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.59/0.80 % (11866)Refutation not found, incomplete strategy% (11866)------------------------------
% 0.59/0.80 % (11866)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (11866)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (11866)Memory used [KB]: 1198
% 0.59/0.80 % (11866)Time elapsed: 0.010 s
% 0.59/0.80 % (11866)Instructions burned: 13 (million)
% 0.59/0.80 % (11866)------------------------------
% 0.59/0.80 % (11866)------------------------------
% 0.59/0.80 % (11869)Refutation not found, incomplete strategy% (11869)------------------------------
% 0.59/0.80 % (11869)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (11869)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (11869)Memory used [KB]: 1148
% 0.59/0.80 % (11869)Time elapsed: 0.005 s
% 0.59/0.80 % (11869)Instructions burned: 8 (million)
% 0.59/0.80 % (11848)Instruction limit reached!
% 0.59/0.80 % (11848)------------------------------
% 0.59/0.80 % (11848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (11848)Termination reason: Unknown
% 0.59/0.80 % (11848)Termination phase: Saturation
% 0.59/0.80
% 0.59/0.80 % (11848)Memory used [KB]: 1700
% 0.59/0.80 % (11848)Time elapsed: 0.029 s
% 0.59/0.80 % (11848)Instructions burned: 52 (million)
% 0.59/0.80 % (11848)------------------------------
% 0.59/0.80 % (11848)------------------------------
% 0.59/0.80 % (11869)------------------------------
% 0.59/0.80 % (11869)------------------------------
% 0.59/0.80 % (11873)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.59/0.80 % (11874)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.59/0.80 % (11875)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.59/0.81 % (11861)Instruction limit reached!
% 0.59/0.81 % (11861)------------------------------
% 0.59/0.81 % (11861)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (11861)Termination reason: Unknown
% 0.59/0.81 % (11861)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (11861)Memory used [KB]: 1659
% 0.59/0.81 % (11861)Time elapsed: 0.028 s
% 0.59/0.81 % (11861)Instructions burned: 52 (million)
% 0.59/0.81 % (11861)------------------------------
% 0.59/0.81 % (11861)------------------------------
% 0.59/0.81 % (11859)Instruction limit reached!
% 0.59/0.81 % (11859)------------------------------
% 0.59/0.81 % (11859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (11859)Termination reason: Unknown
% 0.59/0.81 % (11859)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (11859)Memory used [KB]: 1751
% 0.59/0.81 % (11859)Time elapsed: 0.030 s
% 0.59/0.81 % (11859)Instructions burned: 51 (million)
% 0.59/0.81 % (11859)------------------------------
% 0.59/0.81 % (11859)------------------------------
% 0.59/0.81 % (11877)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.59/0.81 % (11879)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.80/0.82 % (11871)First to succeed.
% 0.80/0.82 % (11871)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11707"
% 0.80/0.82 % (11871)Refutation found. Thanks to Tanya!
% 0.80/0.82 % SZS status Theorem for theBenchmark
% 0.80/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.82 % (11871)------------------------------
% 0.80/0.82 % (11871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.82 % (11871)Termination reason: Refutation
% 0.80/0.82
% 0.80/0.82 % (11871)Memory used [KB]: 1496
% 0.80/0.82 % (11871)Time elapsed: 0.022 s
% 0.80/0.82 % (11871)Instructions burned: 56 (million)
% 0.80/0.82 % (11707)Success in time 0.44 s
% 0.80/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------