TSTP Solution File: SCT121+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SCT121+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n017.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 May 1 03:42:59 EDT 2024
% Result : Theorem 0.79s 0.87s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 20
% Syntax : Number of formulae : 114 ( 24 unt; 0 def)
% Number of atoms : 417 ( 45 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 514 ( 211 ~; 217 |; 52 &)
% ( 9 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-4 aty)
% Number of variables : 214 ( 197 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1349,plain,
$false,
inference(avatar_sat_refutation,[],[f1028,f1057,f1324,f1348]) ).
fof(f1348,plain,
( ~ spl16_3
| spl16_5 ),
inference(avatar_contradiction_clause,[],[f1347]) ).
fof(f1347,plain,
( $false
| ~ spl16_3
| spl16_5 ),
inference(subsumption_resolution,[],[f1343,f728]) ).
fof(f728,plain,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(cnf_transformation,[],[f567]) ).
fof(f567,plain,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3,X4] : c_member(X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))),
file('/export/starexec/sandbox2/tmp/tmp.ODyL1Uk7QR/Vampire---4.8_3270',fact_iso__tuple__UNIV__I) ).
fof(f1343,plain,
( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))
| ~ spl16_3
| spl16_5 ),
inference(resolution,[],[f1331,f728]) ).
fof(f1331,plain,
( ! [X0] :
( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0) )
| ~ spl16_3
| spl16_5 ),
inference(subsumption_resolution,[],[f1330,f768]) ).
fof(f768,plain,
~ c_member(sF13,sF14,sF15),
inference(definition_folding,[],[f675,f767,f766,f765]) ).
fof(f765,plain,
tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f766,plain,
c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f767,plain,
hAPP(v_P,v_i) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f675,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
inference(cnf_transformation,[],[f532]) ).
fof(f532,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
inference(flattening,[],[f528]) ).
fof(f528,negated_conjecture,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
inference(negated_conjecture,[],[f527]) ).
fof(f527,conjecture,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
file('/export/starexec/sandbox2/tmp/tmp.ODyL1Uk7QR/Vampire---4.8_3270',conj_4) ).
fof(f1330,plain,
( ! [X0] :
( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
| c_member(sF13,sF14,sF15) )
| ~ spl16_3
| spl16_5 ),
inference(subsumption_resolution,[],[f1326,f1146]) ).
fof(f1146,plain,
! [X0] : c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,sF15),
inference(resolution,[],[f1141,f795]) ).
fof(f795,plain,
c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),sF15),
inference(superposition,[],[f670,f767]) ).
fof(f670,plain,
! [X0] : c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0)),
inference(cnf_transformation,[],[f530]) ).
fof(f530,plain,
! [X0] :
( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)) ),
inference(rectify,[],[f524]) ).
fof(f524,axiom,
! [X2] :
( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X2))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.ODyL1Uk7QR/Vampire---4.8_3270',conj_1) ).
fof(f1141,plain,
! [X2,X0,X1] :
( ~ c_Relation_Ototal__on(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1)
| c_Relation_Ototal__on(X0,X2,X1) ),
inference(subsumption_resolution,[],[f1132,f728]) ).
fof(f1132,plain,
! [X2,X0,X1] :
( ~ c_member(X0,sK4(X1,X2,X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
| ~ c_Relation_Ototal__on(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1)
| c_Relation_Ototal__on(X0,X2,X1) ),
inference(resolution,[],[f1022,f728]) ).
fof(f1022,plain,
! [X2,X3,X0,X1] :
( ~ c_member(X0,sK5(X1,X2,X0),X3)
| ~ c_member(X0,sK4(X1,X2,X0),X3)
| ~ c_Relation_Ototal__on(X0,X3,X1)
| c_Relation_Ototal__on(X0,X2,X1) ),
inference(subsumption_resolution,[],[f1021,f715]) ).
fof(f715,plain,
! [X2,X0,X1] :
( sK4(X0,X1,X2) != sK5(X0,X1,X2)
| c_Relation_Ototal__on(X2,X1,X0) ),
inference(cnf_transformation,[],[f653]) ).
fof(f653,plain,
! [X0,X1,X2] :
( ( c_Relation_Ototal__on(X2,X1,X0)
| ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
& sK4(X0,X1,X2) != sK5(X0,X1,X2)
& c_member(X2,sK5(X0,X1,X2),X1)
& c_member(X2,sK4(X0,X1,X2),X1) ) )
& ( ! [X5] :
( ! [X6] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X0)
| X5 = X6
| ~ c_member(X2,X6,X1) )
| ~ c_member(X2,X5,X1) )
| ~ c_Relation_Ototal__on(X2,X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f650,f652,f651]) ).
fof(f651,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
& X3 != X4
& c_member(X2,X4,X1) )
& c_member(X2,X3,X1) )
=> ( ? [X4] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,sK4(X0,X1,X2)),X0)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK4(X0,X1,X2),X4),X0)
& sK4(X0,X1,X2) != X4
& c_member(X2,X4,X1) )
& c_member(X2,sK4(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f652,plain,
! [X0,X1,X2] :
( ? [X4] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,sK4(X0,X1,X2)),X0)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK4(X0,X1,X2),X4),X0)
& sK4(X0,X1,X2) != X4
& c_member(X2,X4,X1) )
=> ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
& sK4(X0,X1,X2) != sK5(X0,X1,X2)
& c_member(X2,sK5(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f650,plain,
! [X0,X1,X2] :
( ( c_Relation_Ototal__on(X2,X1,X0)
| ? [X3] :
( ? [X4] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
& X3 != X4
& c_member(X2,X4,X1) )
& c_member(X2,X3,X1) ) )
& ( ! [X5] :
( ! [X6] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X0)
| X5 = X6
| ~ c_member(X2,X6,X1) )
| ~ c_member(X2,X5,X1) )
| ~ c_Relation_Ototal__on(X2,X1,X0) ) ),
inference(rectify,[],[f649]) ).
fof(f649,plain,
! [X0,X1,X2] :
( ( c_Relation_Ototal__on(X2,X1,X0)
| ? [X3] :
( ? [X4] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
& X3 != X4
& c_member(X2,X4,X1) )
& c_member(X2,X3,X1) ) )
& ( ! [X3] :
( ! [X4] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
| X3 = X4
| ~ c_member(X2,X4,X1) )
| ~ c_member(X2,X3,X1) )
| ~ c_Relation_Ototal__on(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f617]) ).
fof(f617,plain,
! [X0,X1,X2] :
( c_Relation_Ototal__on(X2,X1,X0)
<=> ! [X3] :
( ! [X4] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
| X3 = X4
| ~ c_member(X2,X4,X1) )
| ~ c_member(X2,X3,X1) ) ),
inference(flattening,[],[f616]) ).
fof(f616,plain,
! [X0,X1,X2] :
( c_Relation_Ototal__on(X2,X1,X0)
<=> ! [X3] :
( ! [X4] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
| X3 = X4
| ~ c_member(X2,X4,X1) )
| ~ c_member(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f556]) ).
fof(f556,plain,
! [X0,X1,X2] :
( c_Relation_Ototal__on(X2,X1,X0)
<=> ! [X3] :
( c_member(X2,X3,X1)
=> ! [X4] :
( c_member(X2,X4,X1)
=> ( X3 != X4
=> ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0) ) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X5,X6,X4] :
( c_Relation_Ototal__on(X4,X6,X5)
<=> ! [X2] :
( c_member(X4,X2,X6)
=> ! [X7] :
( c_member(X4,X7,X6)
=> ( X2 != X7
=> ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X7,X2),X5)
| c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X7),X5) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ODyL1Uk7QR/Vampire---4.8_3270',fact_total__on__def) ).
fof(f1021,plain,
! [X2,X3,X0,X1] :
( sK5(X1,X2,X0) = sK4(X1,X2,X0)
| ~ c_member(X0,sK4(X1,X2,X0),X3)
| ~ c_member(X0,sK5(X1,X2,X0),X3)
| ~ c_Relation_Ototal__on(X0,X3,X1)
| c_Relation_Ototal__on(X0,X2,X1) ),
inference(subsumption_resolution,[],[f1008,f717]) ).
fof(f717,plain,
! [X2,X0,X1] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
| c_Relation_Ototal__on(X2,X1,X0) ),
inference(cnf_transformation,[],[f653]) ).
fof(f1008,plain,
! [X2,X3,X0,X1] :
( c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sK5(X1,X2,X0),sK4(X1,X2,X0)),X1)
| sK5(X1,X2,X0) = sK4(X1,X2,X0)
| ~ c_member(X0,sK4(X1,X2,X0),X3)
| ~ c_member(X0,sK5(X1,X2,X0),X3)
| ~ c_Relation_Ototal__on(X0,X3,X1)
| c_Relation_Ototal__on(X0,X2,X1) ),
inference(resolution,[],[f712,f716]) ).
fof(f716,plain,
! [X2,X0,X1] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
| c_Relation_Ototal__on(X2,X1,X0) ),
inference(cnf_transformation,[],[f653]) ).
fof(f712,plain,
! [X2,X0,X1,X6,X5] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X0)
| X5 = X6
| ~ c_member(X2,X6,X1)
| ~ c_member(X2,X5,X1)
| ~ c_Relation_Ototal__on(X2,X1,X0) ),
inference(cnf_transformation,[],[f653]) ).
fof(f1326,plain,
( ! [X0] :
( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0)
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,sF15)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
| c_member(sF13,sF14,sF15) )
| ~ spl16_3
| spl16_5 ),
inference(resolution,[],[f1090,f1027]) ).
fof(f1027,plain,
( ! [X0,X1] :
( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X1)
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X1,X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X1)
| c_member(sF13,sF14,X0) )
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1026,plain,
( spl16_3
<=> ! [X0,X1] :
( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X1)
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X1,X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X1)
| c_member(sF13,sF14,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f1090,plain,
( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),sF15)
| spl16_5 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1088,plain,
( spl16_5
<=> c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f1324,plain,
( ~ spl16_5
| spl16_1 ),
inference(avatar_split_clause,[],[f1323,f983,f1088]) ).
fof(f983,plain,
( spl16_1
<=> v_a = v_b ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f1323,plain,
( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),sF15)
| spl16_1 ),
inference(subsumption_resolution,[],[f1322,f778]) ).
fof(f778,plain,
c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
inference(subsumption_resolution,[],[f777,f668]) ).
fof(f668,plain,
! [X0] : c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f530]) ).
fof(f777,plain,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1)) ),
inference(subsumption_resolution,[],[f776,f669]) ).
fof(f669,plain,
! [X0] : c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f530]) ).
fof(f776,plain,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1)) ),
inference(subsumption_resolution,[],[f673,f670]) ).
fof(f673,plain,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1)) ),
inference(cnf_transformation,[],[f635]) ).
fof(f635,plain,
( ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) )
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f590,f634]) ).
fof(f634,plain,
( ? [X0] :
( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)) )
=> ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f590,plain,
( ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) )
| ? [X0] :
( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)) ) ),
inference(ennf_transformation,[],[f531]) ).
fof(f531,plain,
( ! [X0] :
( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)) )
=> ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ) ),
inference(rectify,[],[f526]) ).
fof(f526,axiom,
( ! [X2] :
( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X2))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2)) )
=> ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ODyL1Uk7QR/Vampire---4.8_3270',conj_3) ).
fof(f1322,plain,
( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),sF15)
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| spl16_1 ),
inference(subsumption_resolution,[],[f1317,f984]) ).
fof(f984,plain,
( v_a != v_b
| spl16_1 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1317,plain,
( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),sF15)
| v_a = v_b
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
inference(resolution,[],[f1161,f806]) ).
fof(f806,plain,
! [X0,X1] :
( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),X1)
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,X1) ),
inference(superposition,[],[f707,f765]) ).
fof(f707,plain,
! [X3,X0,X1] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0)
| ~ c_Relation_Oirrefl(X1,X0) ),
inference(cnf_transformation,[],[f647]) ).
fof(f647,plain,
! [X0,X1] :
( ( c_Relation_Oirrefl(X1,X0)
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK3(X0,X1),sK3(X0,X1)),X0) )
& ( ! [X3] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0)
| ~ c_Relation_Oirrefl(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f645,f646]) ).
fof(f646,plain,
! [X0,X1] :
( ? [X2] : c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0)
=> c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK3(X0,X1),sK3(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f645,plain,
! [X0,X1] :
( ( c_Relation_Oirrefl(X1,X0)
| ? [X2] : c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0) )
& ( ! [X3] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0)
| ~ c_Relation_Oirrefl(X1,X0) ) ),
inference(rectify,[],[f644]) ).
fof(f644,plain,
! [X0,X1] :
( ( c_Relation_Oirrefl(X1,X0)
| ? [X2] : c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0) )
& ( ! [X2] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0)
| ~ c_Relation_Oirrefl(X1,X0) ) ),
inference(nnf_transformation,[],[f552]) ).
fof(f552,plain,
! [X0,X1] :
( c_Relation_Oirrefl(X1,X0)
<=> ! [X2] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X4] :
( c_Relation_Oirrefl(X4,X5)
<=> ! [X2] : ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X2),X5) ),
file('/export/starexec/sandbox2/tmp/tmp.ODyL1Uk7QR/Vampire---4.8_3270',fact_irrefl__def) ).
fof(f1161,plain,
! [X0] :
( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X0),v_F(v_P))
| ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X0),sF15)
| v_b = X0 ),
inference(subsumption_resolution,[],[f1160,f781]) ).
fof(f781,plain,
c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
inference(subsumption_resolution,[],[f780,f668]) ).
fof(f780,plain,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1)) ),
inference(subsumption_resolution,[],[f779,f669]) ).
fof(f779,plain,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1)) ),
inference(subsumption_resolution,[],[f672,f670]) ).
fof(f672,plain,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1)) ),
inference(cnf_transformation,[],[f635]) ).
fof(f1160,plain,
! [X0] :
( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X0),v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X0),sF15)
| v_b = X0 ),
inference(subsumption_resolution,[],[f1155,f772]) ).
fof(f772,plain,
c_member(sF13,sF14,v_F(v_P)),
inference(forward_demodulation,[],[f771,f765]) ).
fof(f771,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sF14,v_F(v_P)),
inference(forward_demodulation,[],[f671,f766]) ).
fof(f671,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
inference(cnf_transformation,[],[f525]) ).
fof(f525,axiom,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
file('/export/starexec/sandbox2/tmp/tmp.ODyL1Uk7QR/Vampire---4.8_3270',conj_2) ).
fof(f1155,plain,
! [X0] :
( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X0),v_F(v_P))
| ~ c_member(sF13,sF14,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X0),sF15)
| v_b = X0 ),
inference(resolution,[],[f1006,f1050]) ).
fof(f1050,plain,
! [X0,X1] :
( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_F(v_P))
| ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),sF15)
| X0 = X1 ),
inference(forward_demodulation,[],[f1049,f767]) ).
fof(f1049,plain,
! [X0,X1] :
( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_F(v_P))
| X0 = X1
| ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P,v_i)) ),
inference(subsumption_resolution,[],[f1048,f668]) ).
fof(f1048,plain,
! [X0,X1] :
( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_F(v_P))
| X0 = X1
| ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P,v_i))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P))) ),
inference(subsumption_resolution,[],[f1047,f669]) ).
fof(f1047,plain,
! [X0,X1] :
( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_F(v_P))
| X0 = X1
| ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P,v_i))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P)))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P))) ),
inference(resolution,[],[f770,f670]) ).
fof(f770,plain,
! [X2,X0,X1] :
( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK0(X0)))
| c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
| X1 = X2
| ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0))) ),
inference(forward_demodulation,[],[f769,f765]) ).
fof(f769,plain,
! [X2,X0,X1] :
( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
| X1 = X2
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK0(X0)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0))) ),
inference(forward_demodulation,[],[f667,f765]) ).
fof(f667,plain,
! [X2,X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
| X1 = X2
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK0(X0)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0))) ),
inference(cnf_transformation,[],[f633]) ).
fof(f633,plain,
! [X0] :
( ! [X1,X2] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
| X1 = X2 )
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK0(X0)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f631,f632]) ).
fof(f632,plain,
! [X0] :
( ? [X3] :
( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X3))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X3))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X3)) )
=> ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK0(X0)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f631,plain,
! [X0] :
( ! [X1,X2] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
| X1 = X2 )
| ? [X3] :
( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X3))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X3))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X3)) ) ),
inference(rectify,[],[f589]) ).
fof(f589,plain,
! [X0] :
( ! [X2,X3] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
| X2 = X3 )
| ? [X1] :
( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) ) ),
inference(flattening,[],[f588]) ).
fof(f588,plain,
! [X0] :
( ! [X2,X3] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
| X2 = X3 )
| ? [X1] :
( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) ) ),
inference(ennf_transformation,[],[f529]) ).
fof(f529,plain,
! [X0] :
( ! [X1] :
( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) )
=> ! [X2,X3] :
( X2 != X3
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0)) ) ) ),
inference(rectify,[],[f523]) ).
fof(f523,axiom,
! [X77] :
( ! [X2] :
( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X77,X2))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X77,X2))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X77,X2)) )
=> ! [X37,X38] :
( X37 != X38
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X37,X38),hAPP(X77,v_i))
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X37,X38),v_F(X77)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ODyL1Uk7QR/Vampire---4.8_3270',conj_0) ).
fof(f1006,plain,
! [X0,X1] :
( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X1),X0)
| c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X1),X0)
| ~ c_member(sF13,sF14,X0)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,X0) ),
inference(forward_demodulation,[],[f1005,f765]) ).
fof(f1005,plain,
! [X0,X1] :
( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X1),X0)
| ~ c_member(sF13,sF14,X0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X1),X0)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,X0) ),
inference(forward_demodulation,[],[f1004,f765]) ).
fof(f1004,plain,
! [X0,X1] :
( ~ c_member(sF13,sF14,X0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X1),X0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X1),X0)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,X0) ),
inference(forward_demodulation,[],[f1003,f765]) ).
fof(f1003,plain,
! [X0,X1] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sF14,X0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X1),X0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X1),X0)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,X0) ),
inference(superposition,[],[f740,f766]) ).
fof(f740,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
| c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3)
| ~ c_Relation_Otrans(X4,X3) ),
inference(cnf_transformation,[],[f624]) ).
fof(f624,plain,
! [X0,X1,X2,X3,X4] :
( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
| ~ c_Relation_Otrans(X4,X3) ),
inference(flattening,[],[f623]) ).
fof(f623,plain,
! [X0,X1,X2,X3,X4] :
( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
| ~ c_Relation_Otrans(X4,X3) ),
inference(ennf_transformation,[],[f579]) ).
fof(f579,plain,
! [X0,X1,X2,X3,X4] :
( c_Relation_Otrans(X4,X3)
=> ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
=> ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
=> c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X10,X11,X12,X5,X4] :
( c_Relation_Otrans(X4,X5)
=> ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X12,X11),X5)
=> ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X11,X10),X5)
=> c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X12,X10),X5) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ODyL1Uk7QR/Vampire---4.8_3270',fact_transD) ).
fof(f1057,plain,
~ spl16_1,
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1056,plain,
( $false
| ~ spl16_1 ),
inference(subsumption_resolution,[],[f1051,f778]) ).
fof(f1051,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl16_1 ),
inference(resolution,[],[f1031,f772]) ).
fof(f1031,plain,
( ! [X0] :
( ~ c_member(sF13,sF14,X0)
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,X0) )
| ~ spl16_1 ),
inference(superposition,[],[f806,f1030]) ).
fof(f1030,plain,
( sF14 = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_a)
| ~ spl16_1 ),
inference(superposition,[],[f766,f985]) ).
fof(f985,plain,
( v_a = v_b
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1028,plain,
( spl16_1
| spl16_3 ),
inference(avatar_split_clause,[],[f1024,f1026,f983]) ).
fof(f1024,plain,
! [X0,X1] :
( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),X0)
| c_member(sF13,sF14,X0)
| v_a = v_b
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X1)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X1)
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X1,X0) ),
inference(forward_demodulation,[],[f1023,f765]) ).
fof(f1023,plain,
! [X0,X1] :
( c_member(sF13,sF14,X0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),X0)
| v_a = v_b
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X1)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X1)
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X1,X0) ),
inference(forward_demodulation,[],[f1018,f765]) ).
fof(f1018,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sF14,X0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),X0)
| v_a = v_b
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X1)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X1)
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X1,X0) ),
inference(superposition,[],[f712,f766]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SCT121+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n017.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 16:05:49 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.31 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/tmp/tmp.ODyL1Uk7QR/Vampire---4.8_3270
% 0.62/0.82 % (3381)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.62/0.82 % (3382)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.62/0.82 % (3383)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 Vampire---4 for (2994ds/34Mi)
% 0.62/0.82 % (3379)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 Vampire---4 for (2994ds/34Mi)
% 0.62/0.82 % (3384)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.62/0.82 % (3380)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 Vampire---4 for (2994ds/51Mi)
% 0.62/0.82 % (3385)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 Vampire---4 for (2994ds/83Mi)
% 0.62/0.82 % (3386)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.62/0.84 % (3383)Instruction limit reached!
% 0.62/0.84 % (3383)------------------------------
% 0.62/0.84 % (3383)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (3383)Termination reason: Unknown
% 0.62/0.84 % (3383)Termination phase: Property scanning
% 0.62/0.84
% 0.62/0.84 % (3383)Memory used [KB]: 2168
% 0.62/0.84 % (3383)Time elapsed: 0.017 s
% 0.62/0.84 % (3383)Instructions burned: 34 (million)
% 0.62/0.84 % (3383)------------------------------
% 0.62/0.84 % (3383)------------------------------
% 0.62/0.84 % (3379)Instruction limit reached!
% 0.62/0.84 % (3379)------------------------------
% 0.62/0.84 % (3379)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (3379)Termination reason: Unknown
% 0.62/0.84 % (3379)Termination phase: Saturation
% 0.62/0.84
% 0.62/0.84 % (3379)Memory used [KB]: 1845
% 0.62/0.84 % (3379)Time elapsed: 0.019 s
% 0.62/0.84 % (3379)Instructions burned: 35 (million)
% 0.62/0.84 % (3379)------------------------------
% 0.62/0.84 % (3379)------------------------------
% 0.62/0.84 % (3382)Instruction limit reached!
% 0.62/0.84 % (3382)------------------------------
% 0.62/0.84 % (3382)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (3382)Termination reason: Unknown
% 0.62/0.84 % (3382)Termination phase: Saturation
% 0.62/0.84
% 0.62/0.84 % (3382)Memory used [KB]: 1981
% 0.62/0.84 % (3382)Time elapsed: 0.019 s
% 0.62/0.84 % (3382)Instructions burned: 33 (million)
% 0.62/0.84 % (3382)------------------------------
% 0.62/0.84 % (3382)------------------------------
% 0.62/0.84 % (3387)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 Vampire---4 for (2994ds/55Mi)
% 0.62/0.85 % (3388)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 Vampire---4 for (2994ds/50Mi)
% 0.62/0.85 % (3389)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.62/0.85 % (3380)Instruction limit reached!
% 0.62/0.85 % (3380)------------------------------
% 0.62/0.85 % (3380)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85 % (3380)Termination reason: Unknown
% 0.62/0.85 % (3380)Termination phase: Saturation
% 0.62/0.85
% 0.62/0.85 % (3380)Memory used [KB]: 2295
% 0.62/0.85 % (3380)Time elapsed: 0.024 s
% 0.62/0.85 % (3380)Instructions burned: 51 (million)
% 0.62/0.85 % (3380)------------------------------
% 0.62/0.85 % (3380)------------------------------
% 0.62/0.85 % (3384)Instruction limit reached!
% 0.62/0.85 % (3384)------------------------------
% 0.62/0.85 % (3384)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85 % (3384)Termination reason: Unknown
% 0.62/0.85 % (3384)Termination phase: Saturation
% 0.62/0.85
% 0.62/0.85 % (3384)Memory used [KB]: 2090
% 0.62/0.85 % (3384)Time elapsed: 0.025 s
% 0.62/0.85 % (3384)Instructions burned: 46 (million)
% 0.62/0.85 % (3384)------------------------------
% 0.62/0.85 % (3384)------------------------------
% 0.62/0.85 % (3386)Instruction limit reached!
% 0.62/0.85 % (3386)------------------------------
% 0.62/0.85 % (3386)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85 % (3386)Termination reason: Unknown
% 0.62/0.85 % (3386)Termination phase: Saturation
% 0.62/0.85
% 0.62/0.85 % (3386)Memory used [KB]: 1979
% 0.62/0.85 % (3386)Time elapsed: 0.027 s
% 0.62/0.85 % (3386)Instructions burned: 56 (million)
% 0.62/0.85 % (3386)------------------------------
% 0.62/0.85 % (3386)------------------------------
% 0.62/0.85 % (3390)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 Vampire---4 for (2994ds/52Mi)
% 0.62/0.85 % (3391)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 Vampire---4 for (2994ds/518Mi)
% 0.62/0.85 % (3392)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 Vampire---4 for (2994ds/42Mi)
% 0.79/0.86 % (3381)Instruction limit reached!
% 0.79/0.86 % (3381)------------------------------
% 0.79/0.86 % (3381)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.86 % (3381)Termination reason: Unknown
% 0.79/0.86 % (3381)Termination phase: Saturation
% 0.79/0.86
% 0.79/0.86 % (3381)Memory used [KB]: 2381
% 0.79/0.86 % (3381)Time elapsed: 0.040 s
% 0.79/0.86 % (3381)Instructions burned: 79 (million)
% 0.79/0.86 % (3381)------------------------------
% 0.79/0.86 % (3381)------------------------------
% 0.79/0.86 % (3385)Instruction limit reached!
% 0.79/0.86 % (3385)------------------------------
% 0.79/0.86 % (3385)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.86 % (3385)Termination reason: Unknown
% 0.79/0.86 % (3385)Termination phase: Saturation
% 0.79/0.86
% 0.79/0.86 % (3385)Memory used [KB]: 2673
% 0.79/0.86 % (3385)Time elapsed: 0.040 s
% 0.79/0.86 % (3385)Instructions burned: 84 (million)
% 0.79/0.86 % (3385)------------------------------
% 0.79/0.86 % (3385)------------------------------
% 0.79/0.87 % (3388)Instruction limit reached!
% 0.79/0.87 % (3388)------------------------------
% 0.79/0.87 % (3388)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.87 % (3388)Termination reason: Unknown
% 0.79/0.87 % (3388)Termination phase: Saturation
% 0.79/0.87
% 0.79/0.87 % (3388)Memory used [KB]: 2235
% 0.79/0.87 % (3388)Time elapsed: 0.023 s
% 0.79/0.87 % (3388)Instructions burned: 50 (million)
% 0.79/0.87 % (3388)------------------------------
% 0.79/0.87 % (3388)------------------------------
% 0.79/0.87 % (3393)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 Vampire---4 for (2994ds/243Mi)
% 0.79/0.87 % (3394)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.79/0.87 % (3387)Instruction limit reached!
% 0.79/0.87 % (3387)------------------------------
% 0.79/0.87 % (3387)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.87 % (3387)Termination reason: Unknown
% 0.79/0.87 % (3387)Termination phase: Saturation
% 0.79/0.87
% 0.79/0.87 % (3387)Memory used [KB]: 2442
% 0.79/0.87 % (3387)Time elapsed: 0.026 s
% 0.79/0.87 % (3387)Instructions burned: 55 (million)
% 0.79/0.87 % (3387)------------------------------
% 0.79/0.87 % (3387)------------------------------
% 0.79/0.87 % (3395)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 Vampire---4 for (2994ds/143Mi)
% 0.79/0.87 % (3389)First to succeed.
% 0.79/0.87 % (3396)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 Vampire---4 for (2994ds/93Mi)
% 0.79/0.87 % (3392)Instruction limit reached!
% 0.79/0.87 % (3392)------------------------------
% 0.79/0.87 % (3392)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.87 % (3392)Termination reason: Unknown
% 0.79/0.87 % (3392)Termination phase: Property scanning
% 0.79/0.87
% 0.79/0.87 % (3392)Memory used [KB]: 2278
% 0.79/0.87 % (3392)Time elapsed: 0.020 s
% 0.79/0.87 % (3392)Instructions burned: 44 (million)
% 0.79/0.87 % (3392)------------------------------
% 0.79/0.87 % (3392)------------------------------
% 0.79/0.87 % (3390)Instruction limit reached!
% 0.79/0.87 % (3390)------------------------------
% 0.79/0.87 % (3390)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.87 % (3390)Termination reason: Unknown
% 0.79/0.87 % (3390)Termination phase: Saturation
% 0.79/0.87
% 0.79/0.87 % (3390)Memory used [KB]: 2248
% 0.79/0.87 % (3390)Time elapsed: 0.026 s
% 0.79/0.87 % (3390)Instructions burned: 53 (million)
% 0.79/0.87 % (3390)------------------------------
% 0.79/0.87 % (3390)------------------------------
% 0.79/0.87 % (3389)Refutation found. Thanks to Tanya!
% 0.79/0.87 % SZS status Theorem for Vampire---4
% 0.79/0.87 % SZS output start Proof for Vampire---4
% See solution above
% 0.79/0.88 % (3389)------------------------------
% 0.79/0.88 % (3389)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.88 % (3389)Termination reason: Refutation
% 0.79/0.88
% 0.79/0.88 % (3389)Memory used [KB]: 1752
% 0.79/0.88 % (3389)Time elapsed: 0.030 s
% 0.79/0.88 % (3389)Instructions burned: 53 (million)
% 0.79/0.88 % (3389)------------------------------
% 0.79/0.88 % (3389)------------------------------
% 0.79/0.88 % (3378)Success in time 0.554 s
% 0.79/0.88 % Vampire---4.8 exiting
%------------------------------------------------------------------------------