TSTP Solution File: SCT122+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SCT122+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 : n009.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 03:43:00 EDT 2024
% Result : Theorem 0.67s 0.89s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 18
% Syntax : Number of formulae : 109 ( 25 unt; 0 def)
% Number of atoms : 391 ( 43 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 476 ( 194 ~; 198 |; 52 &)
% ( 7 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-4 aty)
% Number of variables : 202 ( 185 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1346,plain,
$false,
inference(avatar_sat_refutation,[],[f1041,f1345]) ).
fof(f1345,plain,
spl16_3,
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1344,plain,
( $false
| spl16_3 ),
inference(subsumption_resolution,[],[f1340,f699]) ).
fof(f699,plain,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(cnf_transformation,[],[f549]) ).
fof(f549,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.7auP2xpZJC/Vampire---4.8_12798',fact_iso__tuple__UNIV__I) ).
fof(f1340,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 ),
inference(resolution,[],[f1339,f699]) ).
fof(f1339,plain,
( ! [X0] :
( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0) )
| spl16_3 ),
inference(subsumption_resolution,[],[f1338,f1147]) ).
fof(f1147,plain,
! [X0] : c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,sF15),
inference(resolution,[],[f1142,f799]) ).
fof(f799,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,[],[f669,f767]) ).
fof(f767,plain,
hAPP(v_P,v_i) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f669,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,[],[f529]) ).
fof(f529,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,[],[f523]) ).
fof(f523,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.7auP2xpZJC/Vampire---4.8_12798',conj_0) ).
fof(f1142,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,[],[f1133,f699]) ).
fof(f1133,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,[],[f1059,f699]) ).
fof(f1059,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,[],[f1058,f686]) ).
fof(f686,plain,
! [X2,X0,X1] :
( sK4(X0,X1,X2) != sK5(X0,X1,X2)
| c_Relation_Ototal__on(X2,X1,X0) ),
inference(cnf_transformation,[],[f647]) ).
fof(f647,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])],[f644,f646,f645]) ).
fof(f645,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(f646,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(f644,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,[],[f643]) ).
fof(f643,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,[],[f593]) ).
fof(f593,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,[],[f592]) ).
fof(f592,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,[],[f538]) ).
fof(f538,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.7auP2xpZJC/Vampire---4.8_12798',fact_total__on__def) ).
fof(f1058,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,[],[f1045,f688]) ).
fof(f688,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,[],[f647]) ).
fof(f1045,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,[],[f683,f687]) ).
fof(f687,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,[],[f647]) ).
fof(f683,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,[],[f647]) ).
fof(f1338,plain,
( ! [X0] :
( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,sF15) )
| spl16_3 ),
inference(subsumption_resolution,[],[f1334,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(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.7auP2xpZJC/Vampire---4.8_12798',conj_4) ).
fof(f1334,plain,
( ! [X0] :
( c_member(sF13,sF14,sF15)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,sF15) )
| spl16_3 ),
inference(resolution,[],[f1322,f1062]) ).
fof(f1062,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)
| ~ 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) )
| spl16_3 ),
inference(forward_demodulation,[],[f1061,f765]) ).
fof(f1061,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)
| ~ 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) )
| spl16_3 ),
inference(forward_demodulation,[],[f1060,f765]) ).
fof(f1060,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)
| ~ 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) )
| spl16_3 ),
inference(subsumption_resolution,[],[f1055,f998]) ).
fof(f998,plain,
( v_a != v_b
| spl16_3 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f997,plain,
( spl16_3
<=> v_a = v_b ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f1055,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,[],[f683,f766]) ).
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)
| spl16_3 ),
inference(subsumption_resolution,[],[f1321,f776]) ).
fof(f776,plain,
c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
inference(subsumption_resolution,[],[f775,f667]) ).
fof(f667,plain,
! [X0] : c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f529]) ).
fof(f775,plain,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) ),
inference(subsumption_resolution,[],[f774,f668]) ).
fof(f668,plain,
! [X0] : c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f529]) ).
fof(f774,plain,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) ),
inference(subsumption_resolution,[],[f672,f669]) ).
fof(f672,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,sK0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) ),
inference(cnf_transformation,[],[f632]) ).
fof(f632,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,sK0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f588,f631]) ).
fof(f631,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,sK0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f588,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,[],[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)) )
=> ( 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,[],[f525]) ).
fof(f525,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.7auP2xpZJC/Vampire---4.8_12798',conj_2) ).
fof(f1321,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_3 ),
inference(subsumption_resolution,[],[f1316,f998]) ).
fof(f1316,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,[],[f1162,f802]) ).
fof(f802,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,[],[f678,f765]) ).
fof(f678,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,[],[f641]) ).
fof(f641,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])],[f639,f640]) ).
fof(f640,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(f639,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,[],[f638]) ).
fof(f638,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,[],[f534]) ).
fof(f534,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.7auP2xpZJC/Vampire---4.8_12798',fact_irrefl__def) ).
fof(f1162,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,[],[f1161,f779]) ).
fof(f779,plain,
c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
inference(subsumption_resolution,[],[f778,f667]) ).
fof(f778,plain,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) ),
inference(subsumption_resolution,[],[f777,f668]) ).
fof(f777,plain,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) ),
inference(subsumption_resolution,[],[f671,f669]) ).
fof(f671,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,sK0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) ),
inference(cnf_transformation,[],[f632]) ).
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_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,f770]) ).
fof(f770,plain,
c_member(sF13,sF14,v_F(v_P)),
inference(forward_demodulation,[],[f769,f765]) ).
fof(f769,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sF14,v_F(v_P)),
inference(forward_demodulation,[],[f670,f766]) ).
fof(f670,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,[],[f524]) ).
fof(f524,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.7auP2xpZJC/Vampire---4.8_12798',conj_1) ).
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,[],[f1043,f785]) ).
fof(f785,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,[],[f784,f765]) ).
fof(f784,plain,
! [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,X0,X1),sF15)
| 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 ),
inference(forward_demodulation,[],[f783,f767]) ).
fof(f783,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(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,X0,X1),hAPP(v_P,v_i))
| X0 = X1 ),
inference(forward_demodulation,[],[f782,f765]) ).
fof(f782,plain,
! [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,X0,X1),v_F(v_P))
| ~ 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,X0,X1),hAPP(v_P,v_i))
| X0 = X1 ),
inference(subsumption_resolution,[],[f781,f667]) ).
fof(f781,plain,
! [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,X0,X1),v_F(v_P))
| ~ 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,X0,X1),hAPP(v_P,v_i))
| X0 = X1
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1)) ),
inference(subsumption_resolution,[],[f780,f668]) ).
fof(f780,plain,
! [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,X0,X1),v_F(v_P))
| ~ 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,X0,X1),hAPP(v_P,v_i))
| X0 = X1
| ~ 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,[],[f674,f669]) ).
fof(f674,plain,
! [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,X0,X1),v_F(v_P))
| ~ 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,X0,X1),hAPP(v_P,v_i))
| 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(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,
( ! [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,X0,X1),v_F(v_P))
| ~ 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,X0,X1),hAPP(v_P,v_i))
| 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(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])],[f633,f634]) ).
fof(f634,plain,
( ? [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)),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(f633,plain,
( ! [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,X0,X1),v_F(v_P))
| ~ 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,X0,X1),hAPP(v_P,v_i))
| X0 = 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(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)) ) ),
inference(rectify,[],[f590]) ).
fof(f590,plain,
( ! [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(v_P))
| ~ 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(v_P,v_i))
| X1 = X2 )
| ? [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(flattening,[],[f589]) ).
fof(f589,plain,
( ! [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(v_P))
| ~ 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(v_P,v_i))
| X1 = X2 )
| ? [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)) )
=> ! [X1,X2] :
( 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),hAPP(v_P,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,X1,X2),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)) )
=> ! [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(v_P,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(v_P)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7auP2xpZJC/Vampire---4.8_12798',conj_3) ).
fof(f1043,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,[],[f1042,f765]) ).
fof(f1042,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,[],[f1033,f765]) ).
fof(f1033,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,[],[f1031,f765]) ).
fof(f1031,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,[],[f711,f766]) ).
fof(f711,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,[],[f600]) ).
fof(f600,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,[],[f599]) ).
fof(f599,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,[],[f561]) ).
fof(f561,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.7auP2xpZJC/Vampire---4.8_12798',fact_transD) ).
fof(f1041,plain,
~ spl16_3,
inference(avatar_contradiction_clause,[],[f1040]) ).
fof(f1040,plain,
( $false
| ~ spl16_3 ),
inference(subsumption_resolution,[],[f1035,f776]) ).
fof(f1035,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl16_3 ),
inference(resolution,[],[f1006,f770]) ).
fof(f1006,plain,
( ! [X0] :
( ~ c_member(sF13,sF14,X0)
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,X0) )
| ~ spl16_3 ),
inference(superposition,[],[f802,f1005]) ).
fof(f1005,plain,
( sF14 = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_a)
| ~ spl16_3 ),
inference(superposition,[],[f766,f999]) ).
fof(f999,plain,
( v_a = v_b
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f997]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT122+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 16:29:56 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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/tmp/tmp.7auP2xpZJC/Vampire---4.8_12798
% 0.65/0.83 % (12999)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 (2995ds/51Mi)
% 0.65/0.83 % (13000)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.83 % (13002)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 (2995ds/34Mi)
% 0.65/0.83 % (13001)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.65/0.83 % (13003)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.65/0.83 % (13004)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 (2995ds/83Mi)
% 0.65/0.83 % (13005)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 (2995ds/56Mi)
% 0.65/0.83 % (12998)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 (2995ds/34Mi)
% 0.67/0.85 % (13002)Instruction limit reached!
% 0.67/0.85 % (13002)------------------------------
% 0.67/0.85 % (13002)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (13002)Termination reason: Unknown
% 0.67/0.85 % (13002)Termination phase: Property scanning
% 0.67/0.85
% 0.67/0.85 % (13002)Memory used [KB]: 2168
% 0.67/0.85 % (13002)Time elapsed: 0.018 s
% 0.67/0.85 % (13002)Instructions burned: 34 (million)
% 0.67/0.85 % (13002)------------------------------
% 0.67/0.85 % (13002)------------------------------
% 0.67/0.85 % (13001)Instruction limit reached!
% 0.67/0.85 % (13001)------------------------------
% 0.67/0.85 % (13001)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (13001)Termination reason: Unknown
% 0.67/0.85 % (13001)Termination phase: Saturation
% 0.67/0.85
% 0.67/0.85 % (13001)Memory used [KB]: 1983
% 0.67/0.85 % (13001)Time elapsed: 0.020 s
% 0.67/0.85 % (13001)Instructions burned: 33 (million)
% 0.67/0.85 % (13001)------------------------------
% 0.67/0.85 % (13001)------------------------------
% 0.67/0.85 % (12998)Instruction limit reached!
% 0.67/0.85 % (12998)------------------------------
% 0.67/0.85 % (12998)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (12998)Termination reason: Unknown
% 0.67/0.85 % (12998)Termination phase: Saturation
% 0.67/0.85
% 0.67/0.85 % (12998)Memory used [KB]: 1845
% 0.67/0.85 % (12998)Time elapsed: 0.020 s
% 0.67/0.85 % (12998)Instructions burned: 34 (million)
% 0.67/0.85 % (12998)------------------------------
% 0.67/0.85 % (12998)------------------------------
% 0.67/0.85 % (13008)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 (2995ds/55Mi)
% 0.67/0.85 % (12999)Instruction limit reached!
% 0.67/0.85 % (12999)------------------------------
% 0.67/0.85 % (12999)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (12999)Termination reason: Unknown
% 0.67/0.85 % (12999)Termination phase: Saturation
% 0.67/0.85
% 0.67/0.85 % (12999)Memory used [KB]: 2232
% 0.67/0.85 % (13010)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 (2995ds/50Mi)
% 0.67/0.85 % (12999)Time elapsed: 0.024 s
% 0.67/0.85 % (12999)Instructions burned: 51 (million)
% 0.67/0.85 % (12999)------------------------------
% 0.67/0.85 % (12999)------------------------------
% 0.67/0.85 % (13011)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 (2995ds/208Mi)
% 0.67/0.85 % (13003)Instruction limit reached!
% 0.67/0.85 % (13003)------------------------------
% 0.67/0.85 % (13003)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (13003)Termination reason: Unknown
% 0.67/0.85 % (13003)Termination phase: Saturation
% 0.67/0.85
% 0.67/0.85 % (13003)Memory used [KB]: 2057
% 0.67/0.85 % (13003)Time elapsed: 0.025 s
% 0.67/0.85 % (13003)Instructions burned: 45 (million)
% 0.67/0.85 % (13003)------------------------------
% 0.67/0.85 % (13003)------------------------------
% 0.67/0.86 % (13005)Instruction limit reached!
% 0.67/0.86 % (13005)------------------------------
% 0.67/0.86 % (13005)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.86 % (13013)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 (2995ds/52Mi)
% 0.67/0.86 % (13005)Termination reason: Unknown
% 0.67/0.86 % (13005)Termination phase: Saturation
% 0.67/0.86
% 0.67/0.86 % (13005)Memory used [KB]: 1972
% 0.67/0.86 % (13005)Time elapsed: 0.027 s
% 0.67/0.86 % (13005)Instructions burned: 56 (million)
% 0.67/0.86 % (13005)------------------------------
% 0.67/0.86 % (13005)------------------------------
% 0.67/0.86 % (13015)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 (2995ds/518Mi)
% 0.67/0.86 % (13016)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 (2995ds/42Mi)
% 0.67/0.87 % (13000)Instruction limit reached!
% 0.67/0.87 % (13000)------------------------------
% 0.67/0.87 % (13000)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.87 % (13000)Termination reason: Unknown
% 0.67/0.87 % (13000)Termination phase: Saturation
% 0.67/0.87
% 0.67/0.87 % (13000)Memory used [KB]: 2318
% 0.67/0.87 % (13000)Time elapsed: 0.043 s
% 0.67/0.87 % (13000)Instructions burned: 78 (million)
% 0.67/0.87 % (13000)------------------------------
% 0.67/0.87 % (13000)------------------------------
% 0.67/0.87 % (13004)Instruction limit reached!
% 0.67/0.87 % (13004)------------------------------
% 0.67/0.87 % (13004)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.87 % (13004)Termination reason: Unknown
% 0.67/0.87 % (13004)Termination phase: Saturation
% 0.67/0.87
% 0.67/0.87 % (13004)Memory used [KB]: 2670
% 0.67/0.87 % (13004)Time elapsed: 0.043 s
% 0.67/0.87 % (13004)Instructions burned: 83 (million)
% 0.67/0.87 % (13004)------------------------------
% 0.67/0.87 % (13004)------------------------------
% 0.67/0.88 % (13010)Instruction limit reached!
% 0.67/0.88 % (13010)------------------------------
% 0.67/0.88 % (13010)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.88 % (13010)Termination reason: Unknown
% 0.67/0.88 % (13010)Termination phase: Saturation
% 0.67/0.88
% 0.67/0.88 % (13010)Memory used [KB]: 2226
% 0.67/0.88 % (13010)Time elapsed: 0.025 s
% 0.67/0.88 % (13010)Instructions burned: 50 (million)
% 0.67/0.88 % (13010)------------------------------
% 0.67/0.88 % (13010)------------------------------
% 0.67/0.88 % (13020)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)
% 0.67/0.88 % (13019)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 (2995ds/243Mi)
% 0.67/0.88 % (13008)Instruction limit reached!
% 0.67/0.88 % (13008)------------------------------
% 0.67/0.88 % (13008)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.88 % (13008)Termination reason: Unknown
% 0.67/0.88 % (13008)Termination phase: Saturation
% 0.67/0.88
% 0.67/0.88 % (13008)Memory used [KB]: 2441
% 0.67/0.88 % (13008)Time elapsed: 0.028 s
% 0.67/0.88 % (13008)Instructions burned: 55 (million)
% 0.67/0.88 % (13008)------------------------------
% 0.67/0.88 % (13008)------------------------------
% 0.67/0.88 % (13016)Instruction limit reached!
% 0.67/0.88 % (13016)------------------------------
% 0.67/0.88 % (13016)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.88 % (13016)Termination reason: Unknown
% 0.67/0.88 % (13016)Termination phase: Equality proxy
% 0.67/0.88
% 0.67/0.88 % (13016)Memory used [KB]: 2274
% 0.67/0.88 % (13016)Time elapsed: 0.020 s
% 0.67/0.88 % (13016)Instructions burned: 43 (million)
% 0.67/0.88 % (13016)------------------------------
% 0.67/0.88 % (13016)------------------------------
% 0.67/0.88 % (13021)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)
% 0.67/0.88 % (13013)Instruction limit reached!
% 0.67/0.88 % (13013)------------------------------
% 0.67/0.88 % (13013)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.88 % (13013)Termination reason: Unknown
% 0.67/0.88 % (13013)Termination phase: Saturation
% 0.67/0.88
% 0.67/0.88 % (13013)Memory used [KB]: 2252
% 0.67/0.88 % (13013)Time elapsed: 0.026 s
% 0.67/0.88 % (13013)Instructions burned: 53 (million)
% 0.67/0.88 % (13013)------------------------------
% 0.67/0.88 % (13013)------------------------------
% 0.67/0.88 % (13022)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)
% 0.67/0.88 % (13011)First to succeed.
% 0.67/0.88 % (13023)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 Vampire---4 for (2994ds/62Mi)
% 0.67/0.88 % (13025)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 Vampire---4 for (2994ds/32Mi)
% 0.67/0.89 % (13011)Refutation found. Thanks to Tanya!
% 0.67/0.89 % SZS status Theorem for Vampire---4
% 0.67/0.89 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.89 % (13011)------------------------------
% 0.67/0.89 % (13011)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.89 % (13011)Termination reason: Refutation
% 0.67/0.89
% 0.67/0.89 % (13011)Memory used [KB]: 1750
% 0.67/0.89 % (13011)Time elapsed: 0.053 s
% 0.67/0.89 % (13011)Instructions burned: 52 (million)
% 0.67/0.89 % (13011)------------------------------
% 0.67/0.89 % (13011)------------------------------
% 0.67/0.89 % (12961)Success in time 0.53 s
% 0.67/0.89 % Vampire---4.8 exiting
%------------------------------------------------------------------------------