TSTP Solution File: SCT121+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SCT121+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_sat --cores 0 -t %d %s
% Computer : n024.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 18:17:53 EDT 2022
% Result : Theorem 3.75s 0.98s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 82 ( 17 unt; 0 def)
% Number of atoms : 305 ( 35 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 359 ( 136 ~; 139 |; 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 : 17 ( 17 usr; 7 con; 0-4 aty)
% Number of variables : 171 ( 154 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3547,plain,
$false,
inference(avatar_sat_refutation,[],[f3400,f3546]) ).
fof(f3546,plain,
spl89_5,
inference(avatar_contradiction_clause,[],[f3545]) ).
fof(f3545,plain,
( $false
| spl89_5 ),
inference(subsumption_resolution,[],[f3543,f3137]) ).
fof(f3137,plain,
c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
inference(subsumption_resolution,[],[f3136,f2628]) ).
fof(f2628,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,[],[f673]) ).
fof(f673,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_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)) ),
inference(rectify,[],[f524]) ).
fof(f524,axiom,
! [X2] :
( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X2))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f3136,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,sK7)) ),
inference(subsumption_resolution,[],[f3135,f2626]) ).
fof(f2626,plain,
! [X0] : c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f673]) ).
fof(f3135,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK7))
| ~ 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,sK7))
| c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
inference(subsumption_resolution,[],[f2191,f2627]) ).
fof(f2627,plain,
! [X0] : c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f673]) ).
fof(f2191,plain,
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK7))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK7))
| ~ 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,sK7))
| c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
inference(cnf_transformation,[],[f1536]) ).
fof(f1536,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)),v_F(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,sK7))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK7))
| ~ 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,sK7)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f1220,f1535]) ).
fof(f1535,plain,
( ? [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,X0)) )
=> ( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK7))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK7))
| ~ 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,sK7)) ) ),
introduced(choice_axiom,[]) ).
fof(f1220,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)),v_F(v_P))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(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,X0)) ) ),
inference(ennf_transformation,[],[f1027]) ).
fof(f1027,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_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)),v_F(v_P))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ) ),
inference(rectify,[],[f526]) ).
fof(f526,axiom,
( ! [X2] :
( c_Relation_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,X2)) )
=> ( 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)),v_F(v_P))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
fof(f3543,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| spl89_5 ),
inference(resolution,[],[f3540,f2563]) ).
fof(f2563,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,[],[f1856]) ).
fof(f1856,plain,
! [X0,X1] :
( ( c_Relation_Oirrefl(X1,X0)
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK53(X0,X1),sK53(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,[sK53])],[f1854,f1855]) ).
fof(f1855,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,sK53(X0,X1),sK53(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f1854,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,[],[f1853]) ).
fof(f1853,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,[],[f950]) ).
fof(f950,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] :
( ! [X2] : ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X2),X5)
<=> c_Relation_Oirrefl(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_irrefl__def) ).
fof(f3540,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))
| spl89_5 ),
inference(resolution,[],[f3536,f3312]) ).
fof(f3312,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_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(subsumption_resolution,[],[f3305,f3204]) ).
fof(f3204,plain,
c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
inference(subsumption_resolution,[],[f3203,f2627]) ).
fof(f3203,plain,
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK7))
| c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
inference(subsumption_resolution,[],[f3202,f2626]) ).
fof(f3202,plain,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK7))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK7)) ),
inference(subsumption_resolution,[],[f2189,f2628]) ).
fof(f2189,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,sK7))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK7))
| c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK7)) ),
inference(cnf_transformation,[],[f1536]) ).
fof(f3305,plain,
! [X0] :
( ~ 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))
| ~ 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)) ),
inference(resolution,[],[f2648,f2193]) ).
fof(f2193,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
inference(cnf_transformation,[],[f525]) ).
fof(f525,axiom,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(f2648,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X2),X0)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X3,X1),X0)
| c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X3,X2),X0)
| ~ c_Relation_Otrans(X4,X0) ),
inference(cnf_transformation,[],[f1930]) ).
fof(f1930,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_Relation_Otrans(X4,X0)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X3,X1),X0)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X2),X0)
| c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X3,X2),X0) ),
inference(rectify,[],[f1373]) ).
fof(f1373,plain,
! [X3,X0,X4,X1,X2] :
( ~ c_Relation_Otrans(X2,X3)
| ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X1,X0),X3)
| ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,X4),X3)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X1,X4),X3) ),
inference(flattening,[],[f1372]) ).
fof(f1372,plain,
! [X4,X2,X1,X3,X0] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X1,X4),X3)
| ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,X4),X3)
| ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X1,X0),X3)
| ~ c_Relation_Otrans(X2,X3) ),
inference(ennf_transformation,[],[f670]) ).
fof(f670,plain,
! [X4,X2,X1,X3,X0] :
( c_Relation_Otrans(X2,X3)
=> ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X1,X0),X3)
=> ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X0,X4),X3)
=> c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X1,X4),X3) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X11,X12,X4,X5,X10] :
( 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/sandbox/benchmark/theBenchmark.p',fact_transD) ).
fof(f3536,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))
| spl89_5 ),
inference(subsumption_resolution,[],[f3520,f3389]) ).
fof(f3389,plain,
( v_a != v_b
| spl89_5 ),
inference(avatar_component_clause,[],[f3388]) ).
fof(f3388,plain,
( spl89_5
<=> v_a = v_b ),
introduced(avatar_definition,[new_symbols(naming,[spl89_5])]) ).
fof(f3520,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))
| v_a = v_b ),
inference(resolution,[],[f3380,f2799]) ).
fof(f2799,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,[],[f537]) ).
fof(f537,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/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(f3380,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),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,X0),v_F(v_P))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f3363]) ).
fof(f3363,plain,
! [X0,X1] :
( X0 = X1
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),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(resolution,[],[f3318,f3321]) ).
fof(f3321,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),hAPP(v_P,v_i))
| 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)) ),
inference(subsumption_resolution,[],[f3320,f2626]) ).
fof(f3320,plain,
! [X0,X1] :
( 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),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,X0,X1),v_F(v_P))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK40(v_P))) ),
inference(subsumption_resolution,[],[f3319,f2628]) ).
fof(f3319,plain,
! [X0,X1] :
( 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))
| ~ 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,sK40(v_P)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK40(v_P))) ),
inference(resolution,[],[f2418,f2627]) ).
fof(f2418,plain,
! [X2,X0,X1] :
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK40(X0)))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK40(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(X0,sK40(X0)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0)) ),
inference(cnf_transformation,[],[f1727]) ).
fof(f1727,plain,
! [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(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,X1,X2),v_F(X0)) )
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK40(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,sK40(X0)))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK40(X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f1725,f1726]) ).
fof(f1726,plain,
! [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,X3)) )
=> ( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK40(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,sK40(X0)))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK40(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f1725,plain,
! [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(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,X1,X2),v_F(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,X3)) ) ),
inference(rectify,[],[f1382]) ).
fof(f1382,plain,
! [X0] :
( ! [X3,X2] :
( 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)) )
| ? [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,X1)) ) ),
inference(flattening,[],[f1381]) ).
fof(f1381,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_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,X1)) ) ),
inference(ennf_transformation,[],[f1001]) ).
fof(f1001,plain,
! [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))
& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) )
=> ! [X2,X3] :
( X2 != X3
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,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,[],[f523]) ).
fof(f523,axiom,
! [X77] :
( ! [X2] :
( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X77,X2))
& c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f3318,plain,
! [X14,X15,X13] :
( 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,X13,X14),hAPP(v_P,X15))
| 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,X14,X13),hAPP(v_P,X15))
| X13 = X14 ),
inference(subsumption_resolution,[],[f3317,f2573]) ).
fof(f2573,plain,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(cnf_transformation,[],[f828]) ).
fof(f828,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/sandbox/benchmark/theBenchmark.p',fact_iso__tuple__UNIV__I) ).
fof(f3317,plain,
! [X14,X15,X13] :
( 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,X13,X14),hAPP(v_P,X15))
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,X14,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))
| 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,X14,X13),hAPP(v_P,X15))
| X13 = X14 ),
inference(subsumption_resolution,[],[f3316,f2573]) ).
fof(f3316,plain,
! [X14,X15,X13] :
( X13 = X14
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,X13,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))
| 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,X14,X13),hAPP(v_P,X15))
| 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,X13,X14),hAPP(v_P,X15))
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,X14,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool))) ),
inference(resolution,[],[f2812,f2628]) ).
fof(f2812,plain,
! [X2,X0,X1,X6,X5] :
( ~ c_Relation_Ototal__on(X2,X0,X1)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X1)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X1)
| X5 = X6
| ~ c_member(X2,X6,X0)
| ~ c_member(X2,X5,X0) ),
inference(cnf_transformation,[],[f2078]) ).
fof(f2078,plain,
! [X0,X1,X2] :
( ( c_Relation_Ototal__on(X2,X0,X1)
| ( c_member(X2,sK76(X0,X1,X2),X0)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK76(X0,X1,X2),sK77(X0,X1,X2)),X1)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK77(X0,X1,X2),sK76(X0,X1,X2)),X1)
& c_member(X2,sK77(X0,X1,X2),X0)
& sK76(X0,X1,X2) != sK77(X0,X1,X2) ) )
& ( ! [X5] :
( ~ c_member(X2,X5,X0)
| ! [X6] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X1)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X1)
| ~ c_member(X2,X6,X0)
| X5 = X6 ) )
| ~ c_Relation_Ototal__on(X2,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK76,sK77])],[f2075,f2077,f2076]) ).
fof(f2076,plain,
! [X0,X1,X2] :
( ? [X3] :
( c_member(X2,X3,X0)
& ? [X4] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X1)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X1)
& c_member(X2,X4,X0)
& X3 != X4 ) )
=> ( c_member(X2,sK76(X0,X1,X2),X0)
& ? [X4] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK76(X0,X1,X2),X4),X1)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,sK76(X0,X1,X2)),X1)
& c_member(X2,X4,X0)
& sK76(X0,X1,X2) != X4 ) ) ),
introduced(choice_axiom,[]) ).
fof(f2077,plain,
! [X0,X1,X2] :
( ? [X4] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK76(X0,X1,X2),X4),X1)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,sK76(X0,X1,X2)),X1)
& c_member(X2,X4,X0)
& sK76(X0,X1,X2) != X4 )
=> ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK76(X0,X1,X2),sK77(X0,X1,X2)),X1)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK77(X0,X1,X2),sK76(X0,X1,X2)),X1)
& c_member(X2,sK77(X0,X1,X2),X0)
& sK76(X0,X1,X2) != sK77(X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f2075,plain,
! [X0,X1,X2] :
( ( c_Relation_Ototal__on(X2,X0,X1)
| ? [X3] :
( c_member(X2,X3,X0)
& ? [X4] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X1)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X1)
& c_member(X2,X4,X0)
& X3 != X4 ) ) )
& ( ! [X5] :
( ~ c_member(X2,X5,X0)
| ! [X6] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X1)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X1)
| ~ c_member(X2,X6,X0)
| X5 = X6 ) )
| ~ c_Relation_Ototal__on(X2,X0,X1) ) ),
inference(rectify,[],[f2074]) ).
fof(f2074,plain,
! [X2,X0,X1] :
( ( c_Relation_Ototal__on(X1,X2,X0)
| ? [X3] :
( c_member(X1,X3,X2)
& ? [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,X4,X3),X0)
& c_member(X1,X4,X2)
& X3 != X4 ) ) )
& ( ! [X3] :
( ~ c_member(X1,X3,X2)
| ! [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,X4,X3),X0)
| ~ c_member(X1,X4,X2)
| X3 = X4 ) )
| ~ c_Relation_Ototal__on(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f1105]) ).
fof(f1105,plain,
! [X2,X0,X1] :
( c_Relation_Ototal__on(X1,X2,X0)
<=> ! [X3] :
( ~ c_member(X1,X3,X2)
| ! [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,X4,X3),X0)
| ~ c_member(X1,X4,X2)
| X3 = X4 ) ) ),
inference(flattening,[],[f1104]) ).
fof(f1104,plain,
! [X1,X0,X2] :
( c_Relation_Ototal__on(X1,X2,X0)
<=> ! [X3] :
( ! [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,X4,X3),X0)
| X3 = X4
| ~ c_member(X1,X4,X2) )
| ~ c_member(X1,X3,X2) ) ),
inference(ennf_transformation,[],[f545]) ).
fof(f545,plain,
! [X1,X0,X2] :
( c_Relation_Ototal__on(X1,X2,X0)
<=> ! [X3] :
( c_member(X1,X3,X2)
=> ! [X4] :
( c_member(X1,X4,X2)
=> ( X3 != 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,X4,X3),X0) ) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X5,X4,X6] :
( ! [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/sandbox/benchmark/theBenchmark.p',fact_total__on__def) ).
fof(f3400,plain,
~ spl89_5,
inference(avatar_contradiction_clause,[],[f3399]) ).
fof(f3399,plain,
( $false
| ~ spl89_5 ),
inference(subsumption_resolution,[],[f3397,f3137]) ).
fof(f3397,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl89_5 ),
inference(resolution,[],[f3396,f2563]) ).
fof(f3396,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))
| ~ spl89_5 ),
inference(backward_demodulation,[],[f2193,f3390]) ).
fof(f3390,plain,
( v_a = v_b
| ~ spl89_5 ),
inference(avatar_component_clause,[],[f3388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT121+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 12:33:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (1315)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (1308)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.63/0.59 % (1307)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.63/0.60 % (1327)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.63/0.61 % (1328)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.63/0.61 % (1315)Instruction limit reached!
% 1.63/0.61 % (1315)------------------------------
% 1.63/0.61 % (1315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.61 % (1315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.61 % (1315)Termination reason: Unknown
% 1.63/0.61 % (1315)Termination phase: Property scanning
% 1.63/0.61
% 1.63/0.61 % (1315)Memory used [KB]: 2814
% 1.63/0.61 % (1315)Time elapsed: 0.034 s
% 1.63/0.61 % (1315)Instructions burned: 50 (million)
% 1.63/0.61 % (1315)------------------------------
% 1.63/0.61 % (1315)------------------------------
% 1.63/0.61 % (1305)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.63/0.61 % (1308)Instruction limit reached!
% 1.63/0.61 % (1308)------------------------------
% 1.63/0.61 % (1308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.61 % (1308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.61 % (1308)Termination reason: Unknown
% 1.63/0.61 % (1308)Termination phase: Saturation
% 1.63/0.61
% 1.63/0.61 % (1308)Memory used [KB]: 7291
% 1.63/0.61 % (1308)Time elapsed: 0.035 s
% 1.63/0.61 % (1308)Instructions burned: 51 (million)
% 1.63/0.61 % (1308)------------------------------
% 1.63/0.61 % (1308)------------------------------
% 1.63/0.61 % (1320)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.63/0.62 % (1309)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.63/0.62 % (1310)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.63/0.62 % (1316)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.63/0.62 % (1311)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.63/0.62 % (1317)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.63/0.63 % (1319)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.63/0.63 % (1312)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.63/0.63 % (1330)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.63/0.64 % (1314)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.63/0.64 % (1325)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.63/0.64 % (1335)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.63/0.64 % (1322)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.63/0.65 % (1329)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.63/0.65 % (1333)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.63/0.65 % (1326)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.63/0.65 % (1321)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.63/0.65 % (1332)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.63/0.66 % (1306)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.63/0.66 % (1312)Instruction limit reached!
% 1.63/0.66 % (1312)------------------------------
% 1.63/0.66 % (1312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.66 % (1312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.66 % (1312)Termination reason: Unknown
% 1.63/0.66 % (1312)Termination phase: Preprocessing 1
% 1.63/0.66
% 1.63/0.66 % (1312)Memory used [KB]: 1663
% 1.63/0.66 % (1312)Time elapsed: 0.007 s
% 1.63/0.66 % (1312)Instructions burned: 7 (million)
% 1.63/0.66 % (1312)------------------------------
% 1.63/0.66 % (1312)------------------------------
% 1.63/0.66 % (1324)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.63/0.66 % (1318)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.63/0.66 % (1313)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.63/0.66 % (1313)Instruction limit reached!
% 1.63/0.66 % (1313)------------------------------
% 1.63/0.66 % (1313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.66 % (1313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.66 % (1313)Termination reason: Unknown
% 1.63/0.66 % (1313)Termination phase: shuffling
% 1.63/0.66
% 1.63/0.66 % (1313)Memory used [KB]: 1407
% 1.63/0.66 % (1313)Time elapsed: 0.004 s
% 1.63/0.66 % (1313)Instructions burned: 2 (million)
% 1.63/0.66 % (1313)------------------------------
% 1.63/0.66 % (1313)------------------------------
% 1.63/0.67 % (1331)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.63/0.67 % (1307)Instruction limit reached!
% 1.63/0.67 % (1307)------------------------------
% 1.63/0.67 % (1307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.67 % (1307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.67 % (1307)Termination reason: Unknown
% 1.63/0.67 % (1307)Termination phase: Function definition elimination
% 1.63/0.67
% 1.63/0.67 % (1307)Memory used [KB]: 2814
% 1.63/0.67 % (1307)Time elapsed: 0.029 s
% 1.63/0.67 % (1307)Instructions burned: 38 (million)
% 1.63/0.67 % (1307)------------------------------
% 1.63/0.67 % (1307)------------------------------
% 2.32/0.68 % (1323)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.49/0.72 % (1310)Instruction limit reached!
% 2.49/0.72 % (1310)------------------------------
% 2.49/0.72 % (1310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.72 % (1310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.72 % (1310)Termination reason: Unknown
% 2.49/0.72 % (1310)Termination phase: Property scanning
% 2.49/0.72
% 2.49/0.72 % (1310)Memory used [KB]: 2814
% 2.49/0.72 % (1310)Time elapsed: 0.035 s
% 2.49/0.72 % (1310)Instructions burned: 49 (million)
% 2.49/0.72 % (1310)------------------------------
% 2.49/0.72 % (1310)------------------------------
% 2.49/0.74 % (1368)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.49/0.74 % (1311)Instruction limit reached!
% 2.49/0.74 % (1311)------------------------------
% 2.49/0.74 % (1311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.74 % (1311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.74 % (1311)Termination reason: Unknown
% 2.49/0.74 % (1311)Termination phase: Finite model building preprocessing
% 2.49/0.74
% 2.49/0.74 % (1311)Memory used [KB]: 3070
% 2.49/0.74 % (1311)Time elapsed: 0.036 s
% 2.49/0.74 % (1311)Instructions burned: 52 (million)
% 2.49/0.74 % (1311)------------------------------
% 2.49/0.74 % (1311)------------------------------
% 2.49/0.75 % (1309)Instruction limit reached!
% 2.49/0.75 % (1309)------------------------------
% 2.49/0.75 % (1309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.75 % (1309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.75 % (1309)Termination reason: Unknown
% 2.49/0.75 % (1309)Termination phase: Saturation
% 2.49/0.75
% 2.49/0.75 % (1309)Memory used [KB]: 2942
% 2.49/0.75 % (1309)Time elapsed: 0.037 s
% 2.49/0.75 % (1309)Instructions burned: 52 (million)
% 2.49/0.75 % (1309)------------------------------
% 2.49/0.75 % (1309)------------------------------
% 2.49/0.75 % (1370)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.49/0.77 % (1314)Instruction limit reached!
% 2.49/0.77 % (1314)------------------------------
% 2.49/0.77 % (1314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.77 % (1314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.77 % (1314)Termination reason: Unknown
% 2.49/0.77 % (1314)Termination phase: Saturation
% 2.49/0.77
% 2.49/0.77 % (1314)Memory used [KB]: 2942
% 2.49/0.77 % (1314)Time elapsed: 0.038 s
% 2.49/0.77 % (1314)Instructions burned: 51 (million)
% 2.49/0.77 % (1314)------------------------------
% 2.49/0.77 % (1314)------------------------------
% 2.49/0.78 % (1319)Instruction limit reached!
% 2.49/0.78 % (1319)------------------------------
% 2.49/0.78 % (1319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.78 % (1319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.78 % (1319)Termination reason: Unknown
% 2.49/0.78 % (1319)Termination phase: Saturation
% 2.49/0.78
% 2.49/0.78 % (1319)Memory used [KB]: 8443
% 2.49/0.78 % (1319)Time elapsed: 0.049 s
% 2.49/0.78 % (1319)Instructions burned: 68 (million)
% 2.49/0.78 % (1319)------------------------------
% 2.49/0.78 % (1319)------------------------------
% 2.49/0.78 % (1306)Instruction limit reached!
% 2.49/0.78 % (1306)------------------------------
% 2.49/0.78 % (1306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.78 % (1306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.78 % (1306)Termination reason: Unknown
% 2.49/0.78 % (1306)Termination phase: Saturation
% 2.49/0.78
% 2.49/0.78 % (1306)Memory used [KB]: 7291
% 2.49/0.78 % (1306)Time elapsed: 0.036 s
% 2.49/0.78 % (1306)Instructions burned: 50 (million)
% 2.49/0.78 % (1306)------------------------------
% 2.49/0.78 % (1306)------------------------------
% 3.04/0.80 % (1320)Instruction limit reached!
% 3.04/0.80 % (1320)------------------------------
% 3.04/0.80 % (1320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.80 % (1320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.80 % (1320)Termination reason: Unknown
% 3.04/0.80 % (1320)Termination phase: Saturation
% 3.04/0.80
% 3.04/0.80 % (1320)Memory used [KB]: 3326
% 3.04/0.80 % (1320)Time elapsed: 0.059 s
% 3.04/0.80 % (1320)Instructions burned: 76 (million)
% 3.04/0.80 % (1320)------------------------------
% 3.04/0.80 % (1320)------------------------------
% 3.04/0.80 % (1322)Instruction limit reached!
% 3.04/0.80 % (1322)------------------------------
% 3.04/0.80 % (1322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.80 % (1322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.80 % (1322)Termination reason: Unknown
% 3.04/0.80 % (1322)Termination phase: Blocked clause elimination
% 3.04/0.80
% 3.04/0.80 % (1322)Memory used [KB]: 3070
% 3.04/0.80 % (1322)Time elapsed: 0.042 s
% 3.04/0.80 % (1322)Instructions burned: 59 (million)
% 3.04/0.80 % (1322)------------------------------
% 3.04/0.80 % (1322)------------------------------
% 3.04/0.84 % (1331)Instruction limit reached!
% 3.04/0.84 % (1331)------------------------------
% 3.04/0.84 % (1331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.84 % (1331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.84 % (1331)Termination reason: Unknown
% 3.04/0.84 % (1331)Termination phase: Saturation
% 3.04/0.84
% 3.04/0.84 % (1331)Memory used [KB]: 8443
% 3.04/0.84 % (1331)Time elapsed: 0.051 s
% 3.04/0.84 % (1331)Instructions burned: 68 (million)
% 3.04/0.84 % (1331)------------------------------
% 3.04/0.84 % (1331)------------------------------
% 3.04/0.87 % (1317)Instruction limit reached!
% 3.04/0.87 % (1317)------------------------------
% 3.04/0.87 % (1317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.87 % (1317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.87 % (1317)Termination reason: Unknown
% 3.04/0.87 % (1317)Termination phase: Saturation
% 3.04/0.87
% 3.04/0.87 % (1317)Memory used [KB]: 7931
% 3.04/0.87 % (1317)Time elapsed: 0.077 s
% 3.04/0.87 % (1317)Instructions burned: 101 (million)
% 3.04/0.87 % (1317)------------------------------
% 3.04/0.87 % (1317)------------------------------
% 3.41/0.89 % (1316)Instruction limit reached!
% 3.41/0.89 % (1316)------------------------------
% 3.41/0.89 % (1316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.89 % (1316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.89 % (1316)Termination reason: Unknown
% 3.41/0.89 % (1316)Termination phase: Saturation
% 3.41/0.89
% 3.41/0.89 % (1316)Memory used [KB]: 7931
% 3.41/0.89 % (1316)Time elapsed: 0.436 s
% 3.41/0.89 % (1316)Instructions burned: 100 (million)
% 3.41/0.89 % (1316)------------------------------
% 3.41/0.89 % (1316)------------------------------
% 3.41/0.89 % (1318)Instruction limit reached!
% 3.41/0.89 % (1318)------------------------------
% 3.41/0.89 % (1318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.89 % (1318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.89 % (1318)Termination reason: Unknown
% 3.41/0.89 % (1318)Termination phase: Saturation
% 3.41/0.89
% 3.41/0.89 % (1318)Memory used [KB]: 7803
% 3.41/0.89 % (1318)Time elapsed: 0.443 s
% 3.41/0.89 % (1318)Instructions burned: 100 (million)
% 3.41/0.89 % (1318)------------------------------
% 3.41/0.89 % (1318)------------------------------
% 3.41/0.90 % (1387)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.41/0.90 % (1324)Instruction limit reached!
% 3.41/0.90 % (1324)------------------------------
% 3.41/0.90 % (1324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.90 % (1324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.90 % (1324)Termination reason: Unknown
% 3.41/0.90 % (1324)Termination phase: Saturation
% 3.41/0.90
% 3.41/0.90 % (1324)Memory used [KB]: 3454
% 3.41/0.90 % (1324)Time elapsed: 0.073 s
% 3.41/0.90 % (1324)Instructions burned: 100 (million)
% 3.41/0.90 % (1324)------------------------------
% 3.41/0.90 % (1324)------------------------------
% 3.41/0.90 % (1321)Instruction limit reached!
% 3.41/0.90 % (1321)------------------------------
% 3.41/0.90 % (1321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.90 % (1321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.90 % (1321)Termination reason: Unknown
% 3.41/0.90 % (1321)Termination phase: Saturation
% 3.41/0.90
% 3.41/0.90 % (1321)Memory used [KB]: 8059
% 3.41/0.90 % (1321)Time elapsed: 0.449 s
% 3.41/0.90 % (1321)Instructions burned: 99 (million)
% 3.41/0.90 % (1321)------------------------------
% 3.41/0.90 % (1321)------------------------------
% 3.41/0.91 % (1388)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.41/0.92 % (1390)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.41/0.93 % (1323)Instruction limit reached!
% 3.41/0.93 % (1323)------------------------------
% 3.41/0.93 % (1323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.93 % (1323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.93 % (1323)Termination reason: Unknown
% 3.41/0.93 % (1323)Termination phase: Saturation
% 3.41/0.93
% 3.41/0.93 % (1323)Memory used [KB]: 8059
% 3.41/0.93 % (1323)Time elapsed: 0.076 s
% 3.41/0.93 % (1323)Instructions burned: 101 (million)
% 3.41/0.93 % (1323)------------------------------
% 3.41/0.93 % (1323)------------------------------
% 3.41/0.97 % (1328)First to succeed.
% 3.41/0.98 % (1392)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.75/0.98 % (1328)Refutation found. Thanks to Tanya!
% 3.75/0.98 % SZS status Theorem for theBenchmark
% 3.75/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/0.98 % (1328)------------------------------
% 3.75/0.98 % (1328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.75/0.98 % (1328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.75/0.98 % (1328)Termination reason: Refutation
% 3.75/0.98
% 3.75/0.98 % (1328)Memory used [KB]: 8571
% 3.75/0.98 % (1328)Time elapsed: 0.460 s
% 3.75/0.98 % (1328)Instructions burned: 144 (million)
% 3.75/0.98 % (1328)------------------------------
% 3.75/0.98 % (1328)------------------------------
% 3.75/0.98 % (1304)Success in time 0.616 s
%------------------------------------------------------------------------------