TSTP Solution File: SCT120+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SCT120+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:16:46 EDT 2022
% Result : Theorem 2.78s 0.89s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 96 ( 18 unt; 0 def)
% Number of atoms : 368 ( 28 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 451 ( 179 ~; 166 |; 67 &)
% ( 14 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-4 aty)
% Number of variables : 183 ( 155 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1467,plain,
$false,
inference(avatar_sat_refutation,[],[f1396,f1409,f1414,f1440,f1460,f1466]) ).
fof(f1466,plain,
~ spl30_4,
inference(avatar_contradiction_clause,[],[f1465]) ).
fof(f1465,plain,
( $false
| ~ spl30_4 ),
inference(subsumption_resolution,[],[f1464,f1239]) ).
fof(f1239,plain,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(cnf_transformation,[],[f547]) ).
fof(f547,plain,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X4] : c_member(X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_UNIV__I) ).
fof(f1464,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)))
| ~ spl30_4 ),
inference(subsumption_resolution,[],[f1462,f1239]) ).
fof(f1462,plain,
( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))
| ~ spl30_4 ),
inference(resolution,[],[f1404,f1094]) ).
fof(f1094,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,[],[f525]) ).
fof(f525,axiom,
! [X2] :
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2))
& c_Relation_Oirrefl(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,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f1404,plain,
( ! [X0] :
( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,hAPP(v_P,v_i))
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0) )
| ~ spl30_4 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1403,plain,
( spl30_4
<=> ! [X0] :
( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,hAPP(v_P,v_i))
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_4])]) ).
fof(f1460,plain,
( ~ spl30_2
| spl30_3
| ~ spl30_5 ),
inference(avatar_contradiction_clause,[],[f1459]) ).
fof(f1459,plain,
( $false
| ~ spl30_2
| spl30_3
| ~ spl30_5 ),
inference(subsumption_resolution,[],[f1456,f1420]) ).
fof(f1420,plain,
c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
inference(subsumption_resolution,[],[f1419,f1092]) ).
fof(f1092,plain,
! [X0] : c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f530]) ).
fof(f1419,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(v_P))) ),
inference(subsumption_resolution,[],[f1418,f1093]) ).
fof(f1093,plain,
! [X0] : c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f530]) ).
fof(f1418,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P)))
| c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P))) ),
inference(resolution,[],[f1079,f1094]) ).
fof(f1079,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(X0,sK0(X0)))
| c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0))) ),
inference(cnf_transformation,[],[f856]) ).
fof(f856,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)),v_F(X0))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0)) )
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(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(X0,sK0(X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f806,f855]) ).
fof(f855,plain,
! [X0] :
( ? [X1] :
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(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_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(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(X0,sK0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f806,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)),v_F(X0))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0)) )
| ? [X1] :
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(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)) ) ),
inference(ennf_transformation,[],[f529]) ).
fof(f529,plain,
! [X0] :
( ! [X1] :
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(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_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(X0))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0)) ) ),
inference(rectify,[],[f523]) ).
fof(f523,axiom,
! [X2] :
( ! [X7] :
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2,X7))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2,X7))
& 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(X2,X7)) )
=> ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X2))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(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(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1456,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl30_2
| spl30_3
| ~ spl30_5 ),
inference(resolution,[],[f1452,f1181]) ).
fof(f1181,plain,
! [X2,X0,X1] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0)
| ~ c_Relation_Oirrefl(X1,X0) ),
inference(cnf_transformation,[],[f940]) ).
fof(f940,plain,
! [X0,X1] :
( ( ! [X2] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0)
| ~ c_Relation_Oirrefl(X1,X0) )
& ( c_Relation_Oirrefl(X1,X0)
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK10(X0,X1),sK10(X0,X1)),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f938,f939]) ).
fof(f939,plain,
! [X0,X1] :
( ? [X3] : c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0)
=> c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK10(X0,X1),sK10(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f938,plain,
! [X0,X1] :
( ( ! [X2] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0)
| ~ c_Relation_Oirrefl(X1,X0) )
& ( c_Relation_Oirrefl(X1,X0)
| ? [X3] : c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0) ) ),
inference(rectify,[],[f937]) ).
fof(f937,plain,
! [X1,X0] :
( ( ! [X2] : ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X2),X1)
| ~ c_Relation_Oirrefl(X0,X1) )
& ( c_Relation_Oirrefl(X0,X1)
| ? [X2] : c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X2),X1) ) ),
inference(nnf_transformation,[],[f542]) ).
fof(f542,plain,
! [X1,X0] :
( ! [X2] : ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X2),X1)
<=> c_Relation_Oirrefl(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X4,X5] :
( ! [X2] : ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X2),X5)
<=> c_Relation_Oirrefl(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_irrefl__def) ).
fof(f1452,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_b,v_b),v_F(v_P))
| ~ spl30_2
| spl30_3
| ~ spl30_5 ),
inference(resolution,[],[f1447,f1394]) ).
fof(f1394,plain,
( ! [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,v_a),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,v_b),v_F(v_P)) )
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f1393,plain,
( spl30_2
<=> ! [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,v_b),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,v_a),v_F(v_P)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).
fof(f1447,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_b,v_a),v_F(v_P))
| spl30_3
| ~ spl30_5 ),
inference(subsumption_resolution,[],[f1446,f1094]) ).
fof(f1446,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)),hAPP(v_P,sK22(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,v_b,v_a),v_F(v_P))
| spl30_3
| ~ spl30_5 ),
inference(subsumption_resolution,[],[f1445,f1093]) ).
fof(f1445,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_b,v_a),v_F(v_P))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK22(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,sK22(v_P)))
| spl30_3
| ~ spl30_5 ),
inference(subsumption_resolution,[],[f1444,f1400]) ).
fof(f1400,plain,
( v_a != v_b
| spl30_3 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1399,plain,
( spl30_3
<=> v_a = v_b ),
introduced(avatar_definition,[new_symbols(naming,[spl30_3])]) ).
fof(f1444,plain,
( v_a = v_b
| 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),v_F(v_P))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK22(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,sK22(v_P)))
| ~ spl30_5 ),
inference(subsumption_resolution,[],[f1441,f1092]) ).
fof(f1441,plain,
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK22(v_P)))
| v_a = v_b
| ~ 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,sK22(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,v_b,v_a),v_F(v_P))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK22(v_P)))
| ~ spl30_5 ),
inference(resolution,[],[f1408,f1257]) ).
fof(f1257,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,X2,X1),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,X1),v_F(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(X0,sK22(X0)))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK22(X0)))
| X1 = X2
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK22(X0))) ),
inference(cnf_transformation,[],[f1008]) ).
fof(f1008,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,X2,X1),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,X1),v_F(X0))
| X1 = X2 )
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK22(X0)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK22(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(X0,sK22(X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f1006,f1007]) ).
fof(f1007,plain,
! [X0] :
( ? [X3] :
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X3))
| ~ c_Relation_Oirrefl(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,X3)) )
=> ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK22(X0)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK22(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(X0,sK22(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f1006,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,X2,X1),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,X1),v_F(X0))
| X1 = X2 )
| ? [X3] :
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X3))
| ~ c_Relation_Oirrefl(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,X3)) ) ),
inference(rectify,[],[f766]) ).
fof(f766,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,X3,X2),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,X3,X2),v_F(X0))
| X2 = X3 )
| ? [X1] :
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(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)) ) ),
inference(flattening,[],[f765]) ).
fof(f765,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,X3,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,X3,X2),hAPP(X0,v_i))
| X2 = X3 )
| ? [X1] :
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(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)) ) ),
inference(ennf_transformation,[],[f531]) ).
fof(f531,plain,
! [X0] :
( ! [X1] :
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(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)) )
=> ! [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,X3,X2),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,X3,X2),v_F(X0)) ) ) ),
inference(rectify,[],[f524]) ).
fof(f524,axiom,
! [X77] :
( ! [X2] :
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(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)) )
=> ! [X38,X37] :
( 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/benchmark/theBenchmark.p',conj_1) ).
fof(f1408,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_b,v_a),hAPP(v_P,v_i))
| ~ spl30_5 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f1406,plain,
( spl30_5
<=> 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),hAPP(v_P,v_i)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_5])]) ).
fof(f1440,plain,
~ spl30_3,
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1439,plain,
( $false
| ~ spl30_3 ),
inference(subsumption_resolution,[],[f1436,f1420]) ).
fof(f1436,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl30_3 ),
inference(resolution,[],[f1417,f1181]) ).
fof(f1417,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_a),v_F(v_P))
| ~ spl30_3 ),
inference(superposition,[],[f1199,f1401]) ).
fof(f1401,plain,
( v_a = v_b
| ~ spl30_3 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1199,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,[],[f526]) ).
fof(f526,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/benchmark/theBenchmark.p',conj_3) ).
fof(f1414,plain,
spl30_1,
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| spl30_1 ),
inference(subsumption_resolution,[],[f1412,f1391]) ).
fof(f1391,plain,
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| spl30_1 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1389,plain,
( spl30_1
<=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_1])]) ).
fof(f1412,plain,
c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
inference(subsumption_resolution,[],[f1411,f1093]) ).
fof(f1411,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P)))
| c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
inference(subsumption_resolution,[],[f1410,f1092]) ).
fof(f1410,plain,
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P)))
| c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P))) ),
inference(resolution,[],[f1078,f1094]) ).
fof(f1078,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(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)))
| c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0)) ),
inference(cnf_transformation,[],[f856]) ).
fof(f1409,plain,
( spl30_3
| spl30_4
| spl30_5 ),
inference(avatar_split_clause,[],[f1397,f1406,f1403,f1399]) ).
fof(f1397,plain,
! [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),hAPP(v_P,v_i))
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0)
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,hAPP(v_P,v_i))
| v_a = v_b ),
inference(resolution,[],[f1217,f1303]) ).
fof(f1303,plain,
! [X2,X3,X0,X1,X4] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X0)
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0)
| ~ c_member(X1,X3,X2)
| X3 = X4
| ~ c_Relation_Ototal__on(X1,X2,X0)
| ~ c_member(X1,X4,X2) ),
inference(cnf_transformation,[],[f1050]) ).
fof(f1050,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ! [X4] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0)
| X3 = X4
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X0)
| ~ c_member(X1,X4,X2) )
| ~ c_member(X1,X3,X2) )
| ~ c_Relation_Ototal__on(X1,X2,X0) )
& ( c_Relation_Ototal__on(X1,X2,X0)
| ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK26(X0,X1,X2),sK27(X0,X1,X2)),X0)
& sK26(X0,X1,X2) != sK27(X0,X1,X2)
& ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK27(X0,X1,X2),sK26(X0,X1,X2)),X0)
& c_member(X1,sK27(X0,X1,X2),X2)
& c_member(X1,sK26(X0,X1,X2),X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f1047,f1049,f1048]) ).
fof(f1048,plain,
! [X0,X1,X2] :
( ? [X5] :
( ? [X6] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X6),X0)
& X5 != X6
& ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X5),X0)
& c_member(X1,X6,X2) )
& c_member(X1,X5,X2) )
=> ( ? [X6] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK26(X0,X1,X2),X6),X0)
& sK26(X0,X1,X2) != X6
& ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,sK26(X0,X1,X2)),X0)
& c_member(X1,X6,X2) )
& c_member(X1,sK26(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f1049,plain,
! [X0,X1,X2] :
( ? [X6] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK26(X0,X1,X2),X6),X0)
& sK26(X0,X1,X2) != X6
& ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,sK26(X0,X1,X2)),X0)
& c_member(X1,X6,X2) )
=> ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK26(X0,X1,X2),sK27(X0,X1,X2)),X0)
& sK26(X0,X1,X2) != sK27(X0,X1,X2)
& ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK27(X0,X1,X2),sK26(X0,X1,X2)),X0)
& c_member(X1,sK27(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f1047,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ! [X4] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0)
| X3 = X4
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X0)
| ~ c_member(X1,X4,X2) )
| ~ c_member(X1,X3,X2) )
| ~ c_Relation_Ototal__on(X1,X2,X0) )
& ( c_Relation_Ototal__on(X1,X2,X0)
| ? [X5] :
( ? [X6] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X6),X0)
& X5 != X6
& ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X5),X0)
& c_member(X1,X6,X2) )
& c_member(X1,X5,X2) ) ) ),
inference(rectify,[],[f1046]) ).
fof(f1046,plain,
! [X2,X0,X1] :
( ( ! [X3] :
( ! [X4] :
( c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X4),X2)
| X3 = X4
| c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X4,X3),X2)
| ~ c_member(X0,X4,X1) )
| ~ c_member(X0,X3,X1) )
| ~ c_Relation_Ototal__on(X0,X1,X2) )
& ( c_Relation_Ototal__on(X0,X1,X2)
| ? [X3] :
( ? [X4] :
( ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X4),X2)
& X3 != X4
& ~ c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X4,X3),X2)
& c_member(X0,X4,X1) )
& c_member(X0,X3,X1) ) ) ),
inference(nnf_transformation,[],[f773]) ).
fof(f773,plain,
! [X2,X0,X1] :
( ! [X3] :
( ! [X4] :
( c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X4),X2)
| X3 = X4
| c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X4,X3),X2)
| ~ c_member(X0,X4,X1) )
| ~ c_member(X0,X3,X1) )
<=> c_Relation_Ototal__on(X0,X1,X2) ),
inference(flattening,[],[f772]) ).
fof(f772,plain,
! [X2,X0,X1] :
( ! [X3] :
( ! [X4] :
( c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X4),X2)
| c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X4,X3),X2)
| X3 = X4
| ~ c_member(X0,X4,X1) )
| ~ c_member(X0,X3,X1) )
<=> c_Relation_Ototal__on(X0,X1,X2) ),
inference(ennf_transformation,[],[f546]) ).
fof(f546,plain,
! [X2,X0,X1] :
( ! [X3] :
( c_member(X0,X3,X1)
=> ! [X4] :
( c_member(X0,X4,X1)
=> ( X3 != X4
=> ( c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X4),X2)
| c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X4,X3),X2) ) ) ) )
<=> c_Relation_Ototal__on(X0,X1,X2) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [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,X2,X7),X5)
| c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X7,X2),X5) ) ) ) )
<=> c_Relation_Ototal__on(X4,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_total__on__def) ).
fof(f1217,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/benchmark/theBenchmark.p',conj_4) ).
fof(f1396,plain,
( ~ spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f1386,f1393,f1389]) ).
fof(f1386,plain,
! [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,X0,v_a),v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,v_b),v_F(v_P)) ),
inference(resolution,[],[f1199,f1221]) ).
fof(f1221,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0)
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0)
| ~ c_Relation_Otrans(X1,X0)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0) ),
inference(cnf_transformation,[],[f978]) ).
fof(f978,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( ! [X4] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0) )
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0) )
| ~ c_Relation_Otrans(X1,X0) )
& ( c_Relation_Otrans(X1,X0)
| ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK17(X0,X1),sK19(X0,X1)),X0)
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK18(X0,X1),sK19(X0,X1)),X0)
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK17(X0,X1),sK18(X0,X1)),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f975,f977,f976]) ).
fof(f976,plain,
! [X0,X1] :
( ? [X5,X6] :
( ? [X7] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X7),X0)
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X7),X0) )
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X6),X0) )
=> ( ? [X7] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK17(X0,X1),X7),X0)
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK18(X0,X1),X7),X0) )
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK17(X0,X1),sK18(X0,X1)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f977,plain,
! [X0,X1] :
( ? [X7] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK17(X0,X1),X7),X0)
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK18(X0,X1),X7),X0) )
=> ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK17(X0,X1),sK19(X0,X1)),X0)
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK18(X0,X1),sK19(X0,X1)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f975,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( ! [X4] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0) )
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0) )
| ~ c_Relation_Otrans(X1,X0) )
& ( c_Relation_Otrans(X1,X0)
| ? [X5,X6] :
( ? [X7] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X7),X0)
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X7),X0) )
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X6),X0) ) ) ),
inference(rectify,[],[f974]) ).
fof(f974,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( ! [X4] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0) )
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0) )
| ~ c_Relation_Otrans(X1,X0) )
& ( c_Relation_Otrans(X1,X0)
| ? [X2,X3] :
( ? [X4] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0)
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0) )
& c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0) ) ) ),
inference(nnf_transformation,[],[f820]) ).
fof(f820,plain,
! [X0,X1] :
( ! [X2,X3] :
( ! [X4] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0) )
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0) )
<=> c_Relation_Otrans(X1,X0) ),
inference(ennf_transformation,[],[f539]) ).
fof(f539,plain,
! [X1,X0] :
( ! [X3,X2] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0)
=> ! [X4] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0)
=> c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0) ) )
<=> c_Relation_Otrans(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X5,X4] :
( ! [X2,X8] :
( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X8),X5)
=> ! [X9] :
( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X8,X9),X5)
=> c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X9),X5) ) )
<=> c_Relation_Otrans(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_trans__def) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT120+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 12:40:30 EDT 2022
% 0.12/0.35 % CPUTime :
% 1.32/0.59 % (8357)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.47/0.60 % (8355)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.47/0.61 % (8365)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.61 % (8371)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.47/0.61 % (8356)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.47/0.61 % (8373)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.61 % (8363)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.47/0.62 % (8372)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.47/0.63 % (8363)Instruction limit reached!
% 1.47/0.63 % (8363)------------------------------
% 1.47/0.63 % (8363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.63 % (8363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.63 % (8363)Termination reason: Unknown
% 1.47/0.63 % (8363)Termination phase: Preprocessing 1
% 1.47/0.63
% 1.47/0.63 % (8363)Memory used [KB]: 2046
% 1.47/0.63 % (8363)Time elapsed: 0.006 s
% 1.47/0.63 % (8363)Instructions burned: 4 (million)
% 1.47/0.63 % (8363)------------------------------
% 1.47/0.63 % (8363)------------------------------
% 1.47/0.63 % (8364)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.47/0.64 % (8364)Instruction limit reached!
% 1.47/0.64 % (8364)------------------------------
% 1.47/0.64 % (8364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.65 % (8364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.65 % (8364)Termination reason: Unknown
% 1.90/0.65 % (8364)Termination phase: Preprocessing 1
% 1.90/0.65
% 1.90/0.65 % (8364)Memory used [KB]: 2174
% 1.90/0.65 % (8364)Time elapsed: 0.006 s
% 1.90/0.65 % (8364)Instructions burned: 7 (million)
% 1.90/0.65 % (8364)------------------------------
% 1.90/0.65 % (8364)------------------------------
% 1.90/0.65 % (8352)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.90/0.65 % (8354)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.90/0.66 % (8358)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.90/0.66 % (8355)Instruction limit reached!
% 1.90/0.66 % (8355)------------------------------
% 1.90/0.66 % (8355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.66 % (8366)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.90/0.66 % (8353)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.90/0.67 % (8366)Instruction limit reached!
% 1.90/0.67 % (8366)------------------------------
% 1.90/0.67 % (8366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.67 % (8366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.67 % (8366)Termination reason: Unknown
% 1.90/0.67 % (8366)Termination phase: Preprocessing 1
% 1.90/0.67
% 1.90/0.67 % (8366)Memory used [KB]: 2046
% 1.90/0.67 % (8366)Time elapsed: 0.004 s
% 1.90/0.67 % (8366)Instructions burned: 3 (million)
% 1.90/0.67 % (8366)------------------------------
% 1.90/0.67 % (8366)------------------------------
% 1.90/0.67 % (8378)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.90/0.67 % (8350)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.90/0.67 % (8355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.67 % (8355)Termination reason: Unknown
% 1.90/0.67 % (8355)Termination phase: Saturation
% 1.90/0.67
% 1.90/0.67 % (8355)Memory used [KB]: 7164
% 1.90/0.67 % (8368)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.90/0.67 % (8355)Time elapsed: 0.169 s
% 1.90/0.67 % (8355)Instructions burned: 39 (million)
% 1.90/0.67 % (8355)------------------------------
% 1.90/0.67 % (8355)------------------------------
% 1.90/0.67 % (8370)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.90/0.67 % (8369)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.90/0.67 % (8374)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.90/0.67 % (8356)Instruction limit reached!
% 1.90/0.67 % (8356)------------------------------
% 1.90/0.67 % (8356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.68 % (8361)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.90/0.68 % (8376)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.90/0.68 % (8377)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.90/0.68 % (8356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.68 % (8356)Termination reason: Unknown
% 1.90/0.68 % (8356)Termination phase: Equality resolution with deletion
% 1.90/0.68
% 1.90/0.68 % (8362)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.90/0.68 % (8356)Memory used [KB]: 3454
% 1.90/0.68 % (8356)Time elapsed: 0.038 s
% 1.90/0.68 % (8356)Instructions burned: 39 (million)
% 1.90/0.68 % (8356)------------------------------
% 1.90/0.68 % (8356)------------------------------
% 1.90/0.69 % (8377)Instruction limit reached!
% 1.90/0.69 % (8377)------------------------------
% 1.90/0.69 % (8377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.69 % (8377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.69 % (8377)Termination reason: Unknown
% 1.90/0.69 % (8377)Termination phase: shuffling
% 1.90/0.69
% 1.90/0.69 % (8377)Memory used [KB]: 2430
% 1.90/0.69 % (8377)Time elapsed: 0.008 s
% 1.90/0.69 % (8377)Instructions burned: 8 (million)
% 1.90/0.69 % (8377)------------------------------
% 1.90/0.69 % (8377)------------------------------
% 1.90/0.69 % (8360)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.90/0.69 % (8351)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.90/0.69 % (8353)Instruction limit reached!
% 1.90/0.69 % (8353)------------------------------
% 1.90/0.69 % (8353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.69 % (8353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.69 % (8353)Termination reason: Unknown
% 1.90/0.69 % (8353)Termination phase: Property scanning
% 1.90/0.69
% 1.90/0.69 % (8353)Memory used [KB]: 2430
% 1.90/0.69 % (8353)Time elapsed: 0.011 s
% 1.90/0.69 % (8353)Instructions burned: 14 (million)
% 1.90/0.69 % (8353)------------------------------
% 1.90/0.69 % (8353)------------------------------
% 1.90/0.69 % (8351)Instruction limit reached!
% 1.90/0.69 % (8351)------------------------------
% 1.90/0.69 % (8351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.69 % (8351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.69 % (8351)Termination reason: Unknown
% 1.90/0.69 % (8351)Termination phase: Preprocessing 1
% 1.90/0.69
% 1.90/0.69 % (8351)Memory used [KB]: 2046
% 1.90/0.69 % (8351)Time elapsed: 0.005 s
% 1.90/0.69 % (8351)Instructions burned: 3 (million)
% 1.90/0.69 % (8351)------------------------------
% 1.90/0.69 % (8351)------------------------------
% 1.90/0.70 % (8365)Instruction limit reached!
% 1.90/0.70 % (8365)------------------------------
% 1.90/0.70 % (8365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.70 % (8365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.70 % (8365)Termination reason: Unknown
% 1.90/0.70 % (8365)Termination phase: Saturation
% 1.90/0.70 % (8360)Instruction limit reached!
% 1.90/0.70 % (8360)------------------------------
% 1.90/0.70 % (8360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.70
% 1.90/0.70 % (8360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.70 % (8365)Memory used [KB]: 3454
% 1.90/0.70 % (8360)Termination reason: Unknown
% 1.90/0.70 % (8365)Time elapsed: 0.044 s
% 1.90/0.70 % (8360)Termination phase: Preprocessing 1
% 1.90/0.70
% 1.90/0.70 % (8365)Instructions burned: 50 (million)
% 1.90/0.70 % (8365)------------------------------
% 1.90/0.70 % (8365)------------------------------
% 1.90/0.70 % (8360)Memory used [KB]: 2174
% 1.90/0.70 % (8360)Time elapsed: 0.008 s
% 1.90/0.70 % (8360)Instructions burned: 8 (million)
% 1.90/0.70 % (8360)------------------------------
% 1.90/0.70 % (8360)------------------------------
% 1.90/0.70 % (8357)Instruction limit reached!
% 1.90/0.70 % (8357)------------------------------
% 1.90/0.70 % (8357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.70 % (8357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.70 % (8357)Termination reason: Unknown
% 1.90/0.70 % (8357)Termination phase: Saturation
% 1.90/0.70
% 1.90/0.70 % (8357)Memory used [KB]: 3198
% 1.90/0.70 % (8357)Time elapsed: 0.049 s
% 1.90/0.70 % (8357)Instructions burned: 49 (million)
% 1.90/0.70 % (8357)------------------------------
% 1.90/0.70 % (8357)------------------------------
% 1.90/0.70 % (8368)Instruction limit reached!
% 1.90/0.70 % (8368)------------------------------
% 1.90/0.70 % (8368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.70 % (8368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.70 % (8368)Termination reason: Unknown
% 1.90/0.70 % (8368)Termination phase: Naming
% 1.90/0.70
% 1.90/0.70 % (8368)Memory used [KB]: 2302
% 1.90/0.70 % (8368)Time elapsed: 0.010 s
% 1.90/0.70 % (8368)Instructions burned: 11 (million)
% 1.90/0.70 % (8368)------------------------------
% 1.90/0.70 % (8368)------------------------------
% 1.90/0.70 % (8373)Instruction limit reached!
% 1.90/0.70 % (8373)------------------------------
% 1.90/0.70 % (8373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.70 % (8373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.70 % (8373)Termination reason: Unknown
% 1.90/0.70 % (8373)Termination phase: Property scanning
% 1.90/0.70
% 1.90/0.70 % (8373)Memory used [KB]: 3326
% 1.90/0.70 % (8373)Time elapsed: 0.043 s
% 1.90/0.70 % (8373)Instructions burned: 51 (million)
% 1.90/0.70 % (8373)------------------------------
% 1.90/0.70 % (8373)------------------------------
% 2.36/0.70 % (8350)Instruction limit reached!
% 2.36/0.70 % (8350)------------------------------
% 2.36/0.70 % (8350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.70 % (8350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.70 % (8350)Termination reason: Unknown
% 2.36/0.70 % (8350)Termination phase: Saturation
% 2.36/0.70
% 2.36/0.70 % (8350)Memory used [KB]: 6780
% 2.36/0.70 % (8350)Time elapsed: 0.013 s
% 2.36/0.70 % (8350)Instructions burned: 14 (million)
% 2.36/0.70 % (8350)------------------------------
% 2.36/0.70 % (8350)------------------------------
% 2.36/0.70 % (8372)Instruction limit reached!
% 2.36/0.70 % (8372)------------------------------
% 2.36/0.70 % (8372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.70 % (8372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.70 % (8372)Termination reason: Unknown
% 2.36/0.70 % (8372)Termination phase: Property scanning
% 2.36/0.70 % (8354)Instruction limit reached!
% 2.36/0.70 % (8354)------------------------------
% 2.36/0.70 % (8354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.70 % (8354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.70 % (8354)Termination reason: Unknown
% 2.36/0.70 % (8354)Termination phase: Preprocessing 3
% 2.36/0.70
% 2.36/0.70 % (8354)Memory used [KB]: 2814
% 2.36/0.70 % (8354)Time elapsed: 0.013 s
% 2.36/0.70 % (8354)Instructions burned: 15 (million)
% 2.36/0.70 % (8354)------------------------------
% 2.36/0.70 % (8354)------------------------------
% 2.36/0.71
% 2.36/0.71 % (8372)Memory used [KB]: 3454
% 2.36/0.71 % (8372)Time elapsed: 0.049 s
% 2.36/0.71 % (8372)Instructions burned: 45 (million)
% 2.36/0.71 % (8372)------------------------------
% 2.36/0.71 % (8372)------------------------------
% 2.36/0.71 % (8367)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.36/0.71 % (8349)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 2.36/0.71 % (8361)Instruction limit reached!
% 2.36/0.71 % (8361)------------------------------
% 2.36/0.71 % (8361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.71 % (8361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.71 % (8361)Termination reason: Unknown
% 2.36/0.71 % (8361)Termination phase: Preprocessing 3
% 2.36/0.71
% 2.36/0.71 % (8361)Memory used [KB]: 2686
% 2.36/0.71 % (8361)Time elapsed: 0.015 s
% 2.36/0.71 % (8361)Instructions burned: 16 (million)
% 2.36/0.71 % (8361)------------------------------
% 2.36/0.71 % (8361)------------------------------
% 2.36/0.73 % (8375)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.36/0.73 % (8369)Instruction limit reached!
% 2.36/0.73 % (8369)------------------------------
% 2.36/0.73 % (8369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.73 % (8369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.73 % (8369)Termination reason: Unknown
% 2.36/0.73 % (8369)Termination phase: Property scanning
% 2.36/0.73
% 2.36/0.73 % (8369)Memory used [KB]: 2814
% 2.36/0.73 % (8369)Time elapsed: 0.024 s
% 2.36/0.73 % (8369)Instructions burned: 31 (million)
% 2.36/0.73 % (8369)------------------------------
% 2.36/0.73 % (8369)------------------------------
% 2.36/0.73 % (8376)Instruction limit reached!
% 2.36/0.73 % (8376)------------------------------
% 2.36/0.73 % (8376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.73 % (8376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.73 % (8376)Termination reason: Unknown
% 2.36/0.73 % (8376)Termination phase: Preprocessing 3
% 2.36/0.73
% 2.36/0.73 % (8376)Memory used [KB]: 3198
% 2.36/0.73 % (8376)Time elapsed: 0.022 s
% 2.36/0.73 % (8376)Instructions burned: 25 (million)
% 2.36/0.73 % (8376)------------------------------
% 2.36/0.73 % (8376)------------------------------
% 2.36/0.74 % (8367)Instruction limit reached!
% 2.36/0.74 % (8367)------------------------------
% 2.36/0.74 % (8367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.74 % (8367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.74 % (8367)Termination reason: Unknown
% 2.36/0.74 % (8367)Termination phase: SInE selection
% 2.36/0.74
% 2.36/0.74 % (8367)Memory used [KB]: 1918
% 2.36/0.74 % (8367)Time elapsed: 0.004 s
% 2.36/0.74 % (8367)Instructions burned: 2 (million)
% 2.36/0.74 % (8367)------------------------------
% 2.36/0.74 % (8367)------------------------------
% 2.36/0.74 % (8378)Instruction limit reached!
% 2.36/0.74 % (8378)------------------------------
% 2.36/0.74 % (8378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.74 % (8378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.74 % (8378)Termination reason: Unknown
% 2.36/0.74 % (8378)Termination phase: Property scanning
% 2.36/0.74
% 2.36/0.74 % (8378)Memory used [KB]: 3070
% 2.36/0.74 % (8378)Time elapsed: 0.020 s
% 2.36/0.74 % (8378)Instructions burned: 25 (million)
% 2.36/0.74 % (8378)------------------------------
% 2.36/0.74 % (8378)------------------------------
% 2.36/0.74 % (8359)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 2.57/0.75 % (8371)Instruction limit reached!
% 2.57/0.75 % (8371)------------------------------
% 2.57/0.75 % (8371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.75 % (8371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.75 % (8371)Termination reason: Unknown
% 2.57/0.75 % (8371)Termination phase: Saturation
% 2.57/0.75
% 2.57/0.75 % (8371)Memory used [KB]: 8443
% 2.57/0.75 % (8371)Time elapsed: 0.263 s
% 2.57/0.75 % (8371)Instructions burned: 82 (million)
% 2.57/0.75 % (8371)------------------------------
% 2.57/0.75 % (8371)------------------------------
% 2.57/0.76 % (8358)Instruction limit reached!
% 2.57/0.76 % (8358)------------------------------
% 2.57/0.76 % (8358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.76 % (8358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.76 % (8358)Termination reason: Unknown
% 2.57/0.76 % (8358)Termination phase: Property scanning
% 2.57/0.76
% 2.57/0.76 % (8358)Memory used [KB]: 2942
% 2.57/0.76 % (8358)Time elapsed: 0.026 s
% 2.57/0.76 % (8358)Instructions burned: 33 (million)
% 2.57/0.76 % (8358)------------------------------
% 2.57/0.76 % (8358)------------------------------
% 2.57/0.76 % (8352)Instruction limit reached!
% 2.57/0.76 % (8352)------------------------------
% 2.57/0.76 % (8352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.76 % (8352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.76 % (8352)Termination reason: Unknown
% 2.57/0.76 % (8352)Termination phase: Saturation
% 2.57/0.76
% 2.57/0.76 % (8352)Memory used [KB]: 7547
% 2.57/0.76 % (8352)Time elapsed: 0.274 s
% 2.57/0.76 % (8352)Instructions burned: 52 (million)
% 2.57/0.76 % (8352)------------------------------
% 2.57/0.76 % (8352)------------------------------
% 2.57/0.78 % (8362)Instruction limit reached!
% 2.57/0.78 % (8362)------------------------------
% 2.57/0.78 % (8362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.78 % (8362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.78 % (8362)Termination reason: Unknown
% 2.57/0.78 % (8362)Termination phase: Saturation
% 2.57/0.78
% 2.57/0.78 % (8362)Memory used [KB]: 7547
% 2.57/0.78 % (8362)Time elapsed: 0.039 s
% 2.57/0.78 % (8362)Instructions burned: 51 (million)
% 2.57/0.78 % (8362)------------------------------
% 2.57/0.78 % (8362)------------------------------
% 2.57/0.79 % (8383)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.57/0.79 % (8359)Instruction limit reached!
% 2.57/0.79 % (8359)------------------------------
% 2.57/0.79 % (8359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.80 % (8359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.80 % (8359)Termination reason: Unknown
% 2.57/0.80 % (8359)Termination phase: Preprocessing 2
% 2.57/0.80
% 2.57/0.80 % (8359)Memory used [KB]: 2686
% 2.57/0.80 % (8359)Time elapsed: 0.012 s
% 2.57/0.80 % (8359)Instructions burned: 12 (million)
% 2.57/0.80 % (8359)------------------------------
% 2.57/0.80 % (8359)------------------------------
% 2.57/0.80 % (8383)Instruction limit reached!
% 2.57/0.80 % (8383)------------------------------
% 2.57/0.80 % (8383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.80 % (8383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.80 % (8383)Termination reason: Unknown
% 2.57/0.80 % (8383)Termination phase: Saturation
% 2.57/0.80
% 2.57/0.80 % (8383)Memory used [KB]: 6524
% 2.57/0.80 % (8383)Time elapsed: 0.014 s
% 2.57/0.80 % (8383)Instructions burned: 7 (million)
% 2.57/0.80 % (8383)------------------------------
% 2.57/0.80 % (8383)------------------------------
% 2.57/0.81 % (8382)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.57/0.83 % (8404)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/15Mi)
% 2.78/0.85 % (8404)Instruction limit reached!
% 2.78/0.85 % (8404)------------------------------
% 2.78/0.85 % (8404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.85 % (8404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.85 % (8404)Termination reason: Unknown
% 2.78/0.85 % (8404)Termination phase: Preprocessing 3
% 2.78/0.85
% 2.78/0.85 % (8404)Memory used [KB]: 2814
% 2.78/0.85 % (8404)Time elapsed: 0.022 s
% 2.78/0.85 % (8404)Instructions burned: 15 (million)
% 2.78/0.85 % (8404)------------------------------
% 2.78/0.85 % (8404)------------------------------
% 2.78/0.86 % (8382)First to succeed.
% 2.78/0.86 % (8389)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/69Mi)
% 2.78/0.87 % (8398)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/84Mi)
% 2.78/0.87 % (8399)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/131Mi)
% 2.78/0.88 % (8397)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.78/0.89 % (8382)Refutation found. Thanks to Tanya!
% 2.78/0.89 % SZS status Theorem for theBenchmark
% 2.78/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.78/0.89 % (8382)------------------------------
% 2.78/0.89 % (8382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.89 % (8382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.89 % (8382)Termination reason: Refutation
% 2.78/0.89
% 2.78/0.89 % (8382)Memory used [KB]: 7419
% 2.78/0.89 % (8382)Time elapsed: 0.172 s
% 2.78/0.89 % (8382)Instructions burned: 32 (million)
% 2.78/0.89 % (8382)------------------------------
% 2.78/0.89 % (8382)------------------------------
% 2.78/0.89 % (8348)Success in time 0.512 s
%------------------------------------------------------------------------------