TSTP Solution File: SEU195+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU195+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 : Tue May 21 03:45:28 EDT 2024
% Result : Theorem 1.06s 0.98s
% Output : Refutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 92 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 901 ( 12 equ)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 304 ( 133 ~; 136 |; 7 &)
% ( 18 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 639 ( 639 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 11 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 113 ( 110 !; 2 ?; 68 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_9,type,
sQ61_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f1711,plain,
$false,
inference(avatar_sat_refutation,[],[f1183,f1540,f1558,f1571,f1572,f1619,f1623,f1624,f1710]) ).
tff(f1710,plain,
( spl62_11
| ~ spl62_12 ),
inference(avatar_contradiction_clause,[],[f1709]) ).
tff(f1709,plain,
( $false
| spl62_11
| ~ spl62_12 ),
inference(subsumption_resolution,[],[f1708,f644]) ).
tff(f644,plain,
relation(sK58),
inference(cnf_transformation,[],[f336]) ).
tff(f336,plain,
? [X0,X1] :
( ( relation_dom_restriction(X1,X0) != relation_composition(identity_relation(X0),X1) )
& relation(X1) ),
inference(ennf_transformation,[],[f184]) ).
tff(f184,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1) ) ),
inference(negated_conjecture,[],[f183]) ).
tff(f183,conjecture,
! [X0,X1] :
( relation(X1)
=> ( relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t94_relat_1) ).
tff(f1708,plain,
( ~ relation(sK58)
| spl62_11
| ~ spl62_12 ),
inference(subsumption_resolution,[],[f1707,f1630]) ).
tff(f1630,plain,
( in(ordered_pair(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK23(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))),sK58)
| ~ spl62_12 ),
inference(subsumption_resolution,[],[f1625,f644]) ).
tff(f1625,plain,
( in(ordered_pair(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK23(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))),sK58)
| ~ relation(sK58)
| ~ spl62_12 ),
inference(resolution,[],[f1567,f629]) ).
tff(f629,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3))
| in(ordered_pair(X0,X1),X3)
| ~ relation(X3) ),
inference(cnf_transformation,[],[f326]) ).
tff(f326,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3))
<=> ( in(ordered_pair(X0,X1),X3)
& in(X0,X2) ) )
| ~ relation(X3) ),
inference(ennf_transformation,[],[f172]) ).
tff(f172,axiom,
! [X0,X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3))
<=> ( in(ordered_pair(X0,X1),X3)
& in(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t74_relat_1) ).
tff(f1567,plain,
( in(ordered_pair(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK23(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))),relation_composition(identity_relation(sK57),sK58))
| ~ spl62_12 ),
inference(avatar_component_clause,[],[f1566]) ).
tff(f1566,plain,
( spl62_12
<=> in(ordered_pair(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK23(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))),relation_composition(identity_relation(sK57),sK58)) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_12])]) ).
tff(f1707,plain,
( ~ in(ordered_pair(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK23(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))),sK58)
| ~ relation(sK58)
| spl62_11
| ~ spl62_12 ),
inference(subsumption_resolution,[],[f1701,f1631]) ).
tff(f1631,plain,
( in(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK57)
| ~ spl62_12 ),
inference(subsumption_resolution,[],[f1626,f644]) ).
tff(f1626,plain,
( in(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK57)
| ~ relation(sK58)
| ~ spl62_12 ),
inference(resolution,[],[f1567,f628]) ).
tff(f628,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3))
| in(X0,X2)
| ~ relation(X3) ),
inference(cnf_transformation,[],[f326]) ).
tff(f1701,plain,
( ~ in(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK57)
| ~ in(ordered_pair(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK23(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))),sK58)
| ~ relation(sK58)
| spl62_11 ),
inference(resolution,[],[f1698,f1563]) ).
tff(f1563,plain,
( ~ in(ordered_pair(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK23(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))),relation_dom_restriction(sK58,sK57))
| spl62_11 ),
inference(avatar_component_clause,[],[f1562]) ).
tff(f1562,plain,
( spl62_11
<=> in(ordered_pair(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK23(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))),relation_dom_restriction(sK58,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_11])]) ).
tff(f1698,plain,
! [X3: $i,X0: $i,X1: $i,X4: $i] :
( in(ordered_pair(X3,X4),relation_dom_restriction(X0,X1))
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f658,f472]) ).
tff(f472,plain,
! [X0: $i,X1: $i] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f227]) ).
tff(f227,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f58]) ).
tff(f58,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
tff(f658,plain,
! [X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ relation(X0)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| in(ordered_pair(X3,X4),relation_dom_restriction(X0,X1)) ),
inference(equality_resolution,[],[f360]) ).
tff(f360,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ relation(X0)
| ~ relation(X2)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| in(ordered_pair(X3,X4),X2)
| ( relation_dom_restriction(X0,X1) != X2 ) ),
inference(cnf_transformation,[],[f203]) ).
tff(f203,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relation_dom_restriction(X0,X1) = X2 )
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) ) ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation(X2)
=> ( ( relation_dom_restriction(X0,X1) = X2 )
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_relat_1) ).
tff(f1624,plain,
( ~ spl62_9
| spl62_12
| ~ spl62_7
| spl62_4 ),
inference(avatar_split_clause,[],[f1622,f1181,f1529,f1566,f1535]) ).
tff(f1535,plain,
( spl62_9
<=> relation(relation_composition(identity_relation(sK57),sK58)) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_9])]) ).
tff(f1529,plain,
( spl62_7
<=> relation(relation_dom_restriction(sK58,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_7])]) ).
tff(f1181,plain,
( spl62_4
<=> subset(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_4])]) ).
tff(f1622,plain,
( ~ relation(relation_dom_restriction(sK58,sK57))
| in(ordered_pair(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK23(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))),relation_composition(identity_relation(sK57),sK58))
| ~ relation(relation_composition(identity_relation(sK57),sK58))
| spl62_4 ),
inference(resolution,[],[f1182,f411]) ).
tff(f411,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ relation(X1)
| in(ordered_pair(sK22(X0,X1),sK23(X0,X1)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f208]) ).
tff(f208,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f20]) ).
tff(f20,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
=> in(ordered_pair(X2,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_relat_1) ).
tff(f1182,plain,
( ~ subset(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))
| spl62_4 ),
inference(avatar_component_clause,[],[f1181]) ).
tff(f1623,plain,
( ~ spl62_9
| ~ spl62_11
| ~ spl62_7
| spl62_4 ),
inference(avatar_split_clause,[],[f1621,f1181,f1529,f1562,f1535]) ).
tff(f1621,plain,
( ~ relation(relation_dom_restriction(sK58,sK57))
| ~ in(ordered_pair(sK22(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57)),sK23(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))),relation_dom_restriction(sK58,sK57))
| ~ relation(relation_composition(identity_relation(sK57),sK58))
| spl62_4 ),
inference(resolution,[],[f1182,f412]) ).
tff(f412,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ relation(X1)
| ~ in(ordered_pair(sK22(X0,X1),sK23(X0,X1)),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f208]) ).
tff(f1619,plain,
( ~ spl62_8
| spl62_10 ),
inference(avatar_contradiction_clause,[],[f1618]) ).
tff(f1618,plain,
( $false
| ~ spl62_8
| spl62_10 ),
inference(subsumption_resolution,[],[f1617,f644]) ).
tff(f1617,plain,
( ~ relation(sK58)
| ~ spl62_8
| spl62_10 ),
inference(subsumption_resolution,[],[f1616,f1614]) ).
tff(f1614,plain,
( ~ in(ordered_pair(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK23(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58))),sK58)
| ~ spl62_8
| spl62_10 ),
inference(subsumption_resolution,[],[f1613,f644]) ).
tff(f1613,plain,
( ~ in(ordered_pair(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK23(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58))),sK58)
| ~ relation(sK58)
| ~ spl62_8
| spl62_10 ),
inference(subsumption_resolution,[],[f1607,f1578]) ).
tff(f1578,plain,
( in(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK57)
| ~ spl62_8 ),
inference(subsumption_resolution,[],[f1577,f644]) ).
tff(f1577,plain,
( in(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK57)
| ~ relation(sK58)
| ~ spl62_8 ),
inference(resolution,[],[f1576,f1533]) ).
tff(f1533,plain,
( in(ordered_pair(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK23(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58))),relation_dom_restriction(sK58,sK57))
| ~ spl62_8 ),
inference(avatar_component_clause,[],[f1532]) ).
tff(f1532,plain,
( spl62_8
<=> in(ordered_pair(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK23(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58))),relation_dom_restriction(sK58,sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_8])]) ).
tff(f1576,plain,
! [X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ in(ordered_pair(X3,X4),relation_dom_restriction(X0,X1))
| in(X3,X1)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f660,f472]) ).
tff(f660,plain,
! [X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ relation(X0)
| ~ relation(relation_dom_restriction(X0,X1))
| in(X3,X1)
| ~ in(ordered_pair(X3,X4),relation_dom_restriction(X0,X1)) ),
inference(equality_resolution,[],[f358]) ).
tff(f358,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ relation(X0)
| ~ relation(X2)
| in(X3,X1)
| ~ in(ordered_pair(X3,X4),X2)
| ( relation_dom_restriction(X0,X1) != X2 ) ),
inference(cnf_transformation,[],[f203]) ).
tff(f1607,plain,
( ~ in(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK57)
| ~ in(ordered_pair(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK23(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58))),sK58)
| ~ relation(sK58)
| spl62_10 ),
inference(resolution,[],[f630,f1551]) ).
tff(f1551,plain,
( ~ in(ordered_pair(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK23(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58))),relation_composition(identity_relation(sK57),sK58))
| spl62_10 ),
inference(avatar_component_clause,[],[f1550]) ).
tff(f1550,plain,
( spl62_10
<=> in(ordered_pair(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK23(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58))),relation_composition(identity_relation(sK57),sK58)) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_10])]) ).
tff(f630,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3))
| ~ in(X0,X2)
| ~ in(ordered_pair(X0,X1),X3)
| ~ relation(X3) ),
inference(cnf_transformation,[],[f326]) ).
tff(f1616,plain,
( in(ordered_pair(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK23(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58))),sK58)
| ~ relation(sK58)
| ~ spl62_8 ),
inference(resolution,[],[f1615,f1533]) ).
tff(f1615,plain,
! [X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ in(ordered_pair(X3,X4),relation_dom_restriction(X0,X1))
| in(ordered_pair(X3,X4),X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f659,f472]) ).
tff(f659,plain,
! [X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ relation(X0)
| ~ relation(relation_dom_restriction(X0,X1))
| in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),relation_dom_restriction(X0,X1)) ),
inference(equality_resolution,[],[f359]) ).
tff(f359,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ relation(X0)
| ~ relation(X2)
| in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2)
| ( relation_dom_restriction(X0,X1) != X2 ) ),
inference(cnf_transformation,[],[f203]) ).
tff(f1572,plain,
( ~ spl62_7
| spl62_8
| ~ spl62_9
| spl62_3 ),
inference(avatar_split_clause,[],[f1570,f1178,f1535,f1532,f1529]) ).
tff(f1178,plain,
( spl62_3
<=> subset(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_3])]) ).
tff(f1570,plain,
( ~ relation(relation_composition(identity_relation(sK57),sK58))
| in(ordered_pair(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK23(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58))),relation_dom_restriction(sK58,sK57))
| ~ relation(relation_dom_restriction(sK58,sK57))
| spl62_3 ),
inference(resolution,[],[f1179,f411]) ).
tff(f1179,plain,
( ~ subset(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58))
| spl62_3 ),
inference(avatar_component_clause,[],[f1178]) ).
tff(f1571,plain,
( ~ spl62_7
| ~ spl62_10
| ~ spl62_9
| spl62_3 ),
inference(avatar_split_clause,[],[f1569,f1178,f1535,f1550,f1529]) ).
tff(f1569,plain,
( ~ relation(relation_composition(identity_relation(sK57),sK58))
| ~ in(ordered_pair(sK22(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),sK23(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58))),relation_composition(identity_relation(sK57),sK58))
| ~ relation(relation_dom_restriction(sK58,sK57))
| spl62_3 ),
inference(resolution,[],[f1179,f412]) ).
tff(f1558,plain,
spl62_9,
inference(avatar_contradiction_clause,[],[f1557]) ).
tff(f1557,plain,
( $false
| spl62_9 ),
inference(subsumption_resolution,[],[f1556,f469]) ).
tff(f469,plain,
! [X0: $i] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f55]) ).
tff(f55,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
tff(f1556,plain,
( ~ relation(identity_relation(sK57))
| spl62_9 ),
inference(subsumption_resolution,[],[f1555,f644]) ).
tff(f1555,plain,
( ~ relation(sK58)
| ~ relation(identity_relation(sK57))
| spl62_9 ),
inference(resolution,[],[f1536,f467]) ).
tff(f467,plain,
! [X0: $i,X1: $i] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f222]) ).
tff(f222,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f221]) ).
tff(f221,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f53]) ).
tff(f53,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
tff(f1536,plain,
( ~ relation(relation_composition(identity_relation(sK57),sK58))
| spl62_9 ),
inference(avatar_component_clause,[],[f1535]) ).
tff(f1540,plain,
spl62_7,
inference(avatar_contradiction_clause,[],[f1539]) ).
tff(f1539,plain,
( $false
| spl62_7 ),
inference(subsumption_resolution,[],[f1538,f644]) ).
tff(f1538,plain,
( ~ relation(sK58)
| spl62_7 ),
inference(resolution,[],[f1530,f472]) ).
tff(f1530,plain,
( ~ relation(relation_dom_restriction(sK58,sK57))
| spl62_7 ),
inference(avatar_component_clause,[],[f1529]) ).
tff(f1183,plain,
( ~ spl62_3
| ~ spl62_4 ),
inference(avatar_split_clause,[],[f1170,f1181,f1178]) ).
tff(f1170,plain,
( ~ subset(relation_composition(identity_relation(sK57),sK58),relation_dom_restriction(sK58,sK57))
| ~ subset(relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)) ),
inference(resolution,[],[f721,f844]) ).
tff(f844,plain,
~ sQ61_eqProxy($i,relation_dom_restriction(sK58,sK57),relation_composition(identity_relation(sK57),sK58)),
inference(equality_proxy_replacement,[],[f645,f713]) ).
tff(f713,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ61_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ61_eqProxy])]) ).
tff(f645,plain,
relation_dom_restriction(sK58,sK57) != relation_composition(identity_relation(sK57),sK58),
inference(cnf_transformation,[],[f336]) ).
tff(f721,plain,
! [X0: $i,X1: $i] :
( sQ61_eqProxy($i,X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(equality_proxy_replacement,[],[f354,f713]) ).
tff(f354,plain,
! [X0: $i,X1: $i] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f8,axiom,
! [X0,X1] :
( ( X0 = X1 )
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU195+2 : TPTP v8.2.0. Released v3.3.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 15:55:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.87 % (30600)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.70/0.87 % (30598)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 (2994ds/51Mi)
% 0.70/0.87 % (30597)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 (2994ds/34Mi)
% 0.70/0.87 % (30599)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.70/0.87 % (30601)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 (2994ds/34Mi)
% 0.70/0.87 % (30602)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.70/0.87 % (30603)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 (2994ds/83Mi)
% 0.70/0.87 % (30604)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 (2994ds/56Mi)
% 0.71/0.89 % (30600)Instruction limit reached!
% 0.71/0.89 % (30600)------------------------------
% 0.71/0.89 % (30600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89 % (30600)Termination reason: Unknown
% 0.71/0.89 % (30600)Termination phase: Saturation
% 0.71/0.89
% 0.71/0.89 % (30600)Memory used [KB]: 1633
% 0.71/0.89 % (30600)Time elapsed: 0.023 s
% 0.71/0.89 % (30600)Instructions burned: 33 (million)
% 0.71/0.89 % (30600)------------------------------
% 0.71/0.89 % (30600)------------------------------
% 0.71/0.89 % (30601)Instruction limit reached!
% 0.71/0.89 % (30601)------------------------------
% 0.71/0.89 % (30601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89 % (30601)Termination reason: Unknown
% 0.71/0.89 % (30601)Termination phase: Saturation
% 0.71/0.89
% 0.71/0.89 % (30601)Memory used [KB]: 1881
% 0.71/0.89 % (30601)Time elapsed: 0.024 s
% 0.71/0.89 % (30601)Instructions burned: 34 (million)
% 0.71/0.89 % (30601)------------------------------
% 0.71/0.89 % (30601)------------------------------
% 0.71/0.90 % (30605)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 (2994ds/55Mi)
% 0.71/0.90 % (30606)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 (2994ds/50Mi)
% 0.71/0.90 % (30597)Instruction limit reached!
% 0.71/0.90 % (30597)------------------------------
% 0.71/0.90 % (30597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.90 % (30597)Termination reason: Unknown
% 0.71/0.90 % (30597)Termination phase: Saturation
% 0.71/0.90
% 0.71/0.90 % (30597)Memory used [KB]: 1670
% 0.71/0.90 % (30597)Time elapsed: 0.025 s
% 0.71/0.90 % (30597)Instructions burned: 35 (million)
% 0.71/0.90 % (30597)------------------------------
% 0.71/0.90 % (30597)------------------------------
% 0.71/0.90 % (30602)Instruction limit reached!
% 0.71/0.90 % (30602)------------------------------
% 0.71/0.90 % (30602)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.90 % (30602)Termination reason: Unknown
% 0.71/0.90 % (30602)Termination phase: Saturation
% 0.71/0.90
% 0.71/0.90 % (30602)Memory used [KB]: 1702
% 0.71/0.90 % (30602)Time elapsed: 0.031 s
% 0.71/0.90 % (30602)Instructions burned: 46 (million)
% 0.71/0.90 % (30602)------------------------------
% 0.71/0.90 % (30602)------------------------------
% 0.71/0.90 % (30607)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 (2994ds/208Mi)
% 0.71/0.91 % (30608)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 (2994ds/52Mi)
% 0.71/0.91 % (30604)Instruction limit reached!
% 0.71/0.91 % (30604)------------------------------
% 0.71/0.91 % (30604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91 % (30604)Termination reason: Unknown
% 0.71/0.91 % (30604)Termination phase: Saturation
% 0.71/0.91
% 0.71/0.91 % (30604)Memory used [KB]: 1935
% 0.71/0.91 % (30604)Time elapsed: 0.038 s
% 0.71/0.91 % (30604)Instructions burned: 56 (million)
% 0.71/0.91 % (30604)------------------------------
% 0.71/0.91 % (30604)------------------------------
% 0.71/0.91 % (30609)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 (2994ds/518Mi)
% 0.85/0.92 % (30598)Instruction limit reached!
% 0.85/0.92 % (30598)------------------------------
% 0.85/0.92 % (30598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.92 % (30598)Termination reason: Unknown
% 0.85/0.92 % (30598)Termination phase: Saturation
% 0.85/0.92
% 0.85/0.92 % (30598)Memory used [KB]: 1793
% 0.85/0.92 % (30598)Time elapsed: 0.058 s
% 0.85/0.92 % (30598)Instructions burned: 51 (million)
% 0.85/0.92 % (30598)------------------------------
% 0.85/0.92 % (30598)------------------------------
% 0.85/0.92 % (30603)Instruction limit reached!
% 0.85/0.92 % (30603)------------------------------
% 0.85/0.92 % (30603)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.92 % (30603)Termination reason: Unknown
% 0.85/0.92 % (30603)Termination phase: Saturation
% 0.85/0.92
% 0.85/0.92 % (30603)Memory used [KB]: 2021
% 0.85/0.92 % (30603)Time elapsed: 0.053 s
% 0.85/0.92 % (30603)Instructions burned: 83 (million)
% 0.85/0.92 % (30603)------------------------------
% 0.85/0.92 % (30603)------------------------------
% 0.85/0.92 % (30610)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 (2994ds/42Mi)
% 0.85/0.92 % (30599)Instruction limit reached!
% 0.85/0.92 % (30599)------------------------------
% 0.85/0.92 % (30599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.92 % (30599)Termination reason: Unknown
% 0.85/0.92 % (30599)Termination phase: Saturation
% 0.85/0.92
% 0.85/0.92 % (30599)Memory used [KB]: 2048
% 0.85/0.92 % (30599)Time elapsed: 0.055 s
% 0.85/0.92 % (30599)Instructions burned: 78 (million)
% 0.85/0.92 % (30599)------------------------------
% 0.85/0.92 % (30599)------------------------------
% 0.85/0.93 % (30611)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 (2994ds/243Mi)
% 0.85/0.93 % (30612)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 (2994ds/117Mi)
% 0.85/0.93 % (30606)Instruction limit reached!
% 0.85/0.93 % (30606)------------------------------
% 0.85/0.93 % (30606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.93 % (30606)Termination reason: Unknown
% 0.85/0.93 % (30606)Termination phase: Saturation
% 0.85/0.93
% 0.85/0.93 % (30606)Memory used [KB]: 1992
% 0.85/0.93 % (30606)Time elapsed: 0.034 s
% 0.85/0.93 % (30606)Instructions burned: 51 (million)
% 0.85/0.93 % (30606)------------------------------
% 0.85/0.93 % (30606)------------------------------
% 0.85/0.93 % (30605)Instruction limit reached!
% 0.85/0.93 % (30605)------------------------------
% 0.85/0.93 % (30605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.93 % (30605)Termination reason: Unknown
% 0.85/0.93 % (30605)Termination phase: Saturation
% 0.85/0.93
% 0.85/0.93 % (30605)Memory used [KB]: 1795
% 0.85/0.93 % (30605)Time elapsed: 0.035 s
% 0.85/0.93 % (30605)Instructions burned: 55 (million)
% 0.85/0.93 % (30605)------------------------------
% 0.85/0.93 % (30605)------------------------------
% 0.85/0.93 % (30613)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 (2994ds/143Mi)
% 0.85/0.93 % (30614)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 (2994ds/93Mi)
% 1.06/0.94 % (30608)Instruction limit reached!
% 1.06/0.94 % (30608)------------------------------
% 1.06/0.94 % (30608)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.94 % (30608)Termination reason: Unknown
% 1.06/0.94 % (30608)Termination phase: Saturation
% 1.06/0.94
% 1.06/0.94 % (30608)Memory used [KB]: 1807
% 1.06/0.94 % (30608)Time elapsed: 0.036 s
% 1.06/0.94 % (30608)Instructions burned: 52 (million)
% 1.06/0.94 % (30608)------------------------------
% 1.06/0.94 % (30608)------------------------------
% 1.06/0.94 % (30615)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 (2994ds/62Mi)
% 1.06/0.95 % (30610)Instruction limit reached!
% 1.06/0.95 % (30610)------------------------------
% 1.06/0.95 % (30610)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.95 % (30610)Termination reason: Unknown
% 1.06/0.95 % (30610)Termination phase: Saturation
% 1.06/0.95
% 1.06/0.95 % (30610)Memory used [KB]: 1836
% 1.06/0.95 % (30610)Time elapsed: 0.028 s
% 1.06/0.95 % (30610)Instructions burned: 42 (million)
% 1.06/0.95 % (30610)------------------------------
% 1.06/0.95 % (30610)------------------------------
% 1.06/0.95 % (30616)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 (2994ds/32Mi)
% 1.06/0.97 % (30613)First to succeed.
% 1.06/0.97 % (30613)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30596"
% 1.06/0.97 % (30616)Instruction limit reached!
% 1.06/0.97 % (30616)------------------------------
% 1.06/0.97 % (30616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.97 % (30616)Termination reason: Unknown
% 1.06/0.97 % (30616)Termination phase: Saturation
% 1.06/0.97
% 1.06/0.97 % (30616)Memory used [KB]: 1567
% 1.06/0.97 % (30616)Time elapsed: 0.023 s
% 1.06/0.97 % (30616)Instructions burned: 33 (million)
% 1.06/0.97 % (30616)------------------------------
% 1.06/0.97 % (30616)------------------------------
% 1.06/0.98 % (30613)Refutation found. Thanks to Tanya!
% 1.06/0.98 % SZS status Theorem for theBenchmark
% 1.06/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 1.06/0.98 % (30613)------------------------------
% 1.06/0.98 % (30613)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.98 % (30613)Termination reason: Refutation
% 1.06/0.98
% 1.06/0.98 % (30613)Memory used [KB]: 1742
% 1.06/0.98 % (30613)Time elapsed: 0.043 s
% 1.06/0.98 % (30613)Instructions burned: 64 (million)
% 1.06/0.98 % (30596)Success in time 0.609 s
% 1.06/0.98 % Vampire---4.8 exiting
%------------------------------------------------------------------------------