%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT121+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:36:57 PM UTC 2026
% Result : Theorem 1.97s 1.86s
% Output : Refutation 6.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 103 ( 27 unt; 8 def)
% Number of atoms : 326 ( 21 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 383 ( 160 ~; 171 |; 30 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-4 aty)
% Number of variables : 117 ( 0 sgn 107 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_UNIV__I) ).
fof(f3,axiom,
! [X0,X1] :
( c_Relation_Oirrefl(X1,X0)
<=> ! [X2] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_irrefl__def) ).
fof(f4,axiom,
! [X0,X1,X2] :
( c_Relation_Ototal__on(X2,X1,X0)
<=> ! [X3] :
( c_member(X2,X3,X1)
=> ! [X4] :
( c_member(X2,X4,X1)
=> ( X3 != X4
=> ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_total__on__def) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4] :
( c_Relation_Otrans(X4,X3)
=> ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
=> ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
=> c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_transD) ).
fof(f13,axiom,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_iso__tuple__UNIV__I) ).
fof(f523,axiom,
! [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)) )
=> ! [X2,X3] :
( X2 != X3
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f524,axiom,
! [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))
& 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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f525,axiom,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f526,axiom,
( ! [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))
& 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,v_F(v_P))
& 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)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
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(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,[status(cth)],[f527]) ).
fof(f529,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(f531,plain,
! [X0] :
( ! [X2,X3] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
| X2 = X3 )
| ? [X1] :
( ~ c_Relation_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,[],[f523]) ).
fof(f532,plain,
! [X0] :
( ! [X2,X3] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
| X2 = X3 )
| ? [X1] :
( ~ c_Relation_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,[],[f531]) ).
fof(f533,plain,
( ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
& 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)) )
| ? [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))
| ~ 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,[],[f526]) ).
fof(f541,plain,
! [X0,X1,X2] :
( c_Relation_Ototal__on(X2,X1,X0)
<=> ! [X3] :
( ! [X4] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
| X3 = X4
| ~ c_member(X2,X4,X1) )
| ~ c_member(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f542,plain,
! [X0,X1,X2] :
( c_Relation_Ototal__on(X2,X1,X0)
<=> ! [X3] :
( ! [X4] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
| X3 = X4
| ~ c_member(X2,X4,X1) )
| ~ c_member(X2,X3,X1) ) ),
inference(flattening,[],[f541]) ).
fof(f548,plain,
! [X0,X1,X2,X3,X4] :
( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
| ~ c_Relation_Otrans(X4,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f549,plain,
! [X0,X1,X2,X3,X4] :
( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
| ~ c_Relation_Otrans(X4,X3) ),
inference(flattening,[],[f548]) ).
fof(f552,plain,
! [X0] :
( ! [X1,X2] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
| X1 = X2 )
| ? [X3] :
( ~ c_Relation_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,[],[f532]) ).
fof(f553,plain,
! [X0] :
( ! [X1,X2] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
| X1 = X2 )
| ~ c_Relation_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(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0))],[f552]) ).
fof(f554,plain,
( ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
& 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,hAPP(v_P,sK1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f533]) ).
fof(f558,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,[],[f3]) ).
fof(f559,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,[],[f558]) ).
fof(f560,plain,
! [X0,X1] :
( ( c_Relation_Oirrefl(X1,X0)
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK3(X0,X1),sK3(X0,X1)),X0) )
& ( ! [X3] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0)
| ~ c_Relation_Oirrefl(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f559]) ).
fof(f562,plain,
! [X0,X1,X2] :
( ( c_Relation_Ototal__on(X2,X1,X0)
| ? [X3] :
( ? [X4] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
& X3 != X4
& c_member(X2,X4,X1) )
& c_member(X2,X3,X1) ) )
& ( ! [X3] :
( ! [X4] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
| X3 = X4
| ~ c_member(X2,X4,X1) )
| ~ c_member(X2,X3,X1) )
| ~ c_Relation_Ototal__on(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f542]) ).
fof(f563,plain,
! [X0,X1,X2] :
( ( c_Relation_Ototal__on(X2,X1,X0)
| ? [X3] :
( ? [X4] :
( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
& X3 != X4
& c_member(X2,X4,X1) )
& c_member(X2,X3,X1) ) )
& ( ! [X5] :
( ! [X6] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X0)
| X5 = X6
| ~ c_member(X2,X6,X1) )
| ~ c_member(X2,X5,X1) )
| ~ c_Relation_Ototal__on(X2,X1,X0) ) ),
inference(rectify,[],[f562]) ).
fof(f564,plain,
! [X0,X1,X2] :
( ( c_Relation_Ototal__on(X2,X1,X0)
| ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
& ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
& sK4(X0,X1,X2) != sK5(X0,X1,X2)
& c_member(X2,sK5(X0,X1,X2),X1)
& c_member(X2,sK4(X0,X1,X2),X1) ) )
& ( ! [X5] :
( ! [X6] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X0)
| X5 = X6
| ~ c_member(X2,X6,X1) )
| ~ c_member(X2,X5,X1) )
| ~ c_Relation_Ototal__on(X2,X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X4,sK5(X0,X1,X2))],[f563]) ).
fof(f571,plain,
! [X2,X0,X1] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),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))
| X1 = X2
| ~ 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(cnf_transformation,[],[f553]) ).
fof(f572,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,[],[f524]) ).
fof(f573,plain,
! [X0] : c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f524]) ).
fof(f574,plain,
! [X0] : c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f524]) ).
fof(f575,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(f577,plain,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK1)) ),
inference(cnf_transformation,[],[f554]) ).
fof(f578,plain,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK1)) ),
inference(cnf_transformation,[],[f554]) ).
fof(f579,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,[],[f529]) ).
fof(f591,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,[],[f560]) ).
fof(f596,plain,
! [X2,X0,X1,X6,X5] :
( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X0)
| X5 = X6
| ~ c_member(X2,X6,X1)
| ~ c_member(X2,X5,X1)
| ~ c_Relation_Ototal__on(X2,X1,X0) ),
inference(cnf_transformation,[],[f564]) ).
fof(f607,plain,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(cnf_transformation,[],[f13]) ).
fof(f608,plain,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(cnf_transformation,[],[f2]) ).
fof(f618,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
| ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
| c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3)
| ~ c_Relation_Otrans(X4,X3) ),
inference(cnf_transformation,[],[f549]) ).
fof(f640,definition,
( spl12_1
<=> c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK1)) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f642,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,sK1))
| spl12_1 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f644,definition,
( spl12_2
<=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1)) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f646,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| spl12_2 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f648,definition,
( spl12_3
<=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1)) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f650,plain,
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| spl12_3 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f657,definition,
( spl12_5
<=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f659,plain,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f660,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3
| spl12_5 ),
inference(avatar_split_clause,[],[f577,f657,f648,f644,f640]) ).
fof(f662,definition,
( spl12_6
<=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f664,plain,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3
| spl12_6 ),
inference(avatar_split_clause,[],[f578,f662,f648,f644,f640]) ).
fof(f666,plain,
( $false
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f642,f572]) ).
fof(f667,plain,
spl12_1,
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f668,plain,
( $false
| spl12_2 ),
inference(forward_subsumption_resolution,[],[f646,f573]) ).
fof(f669,plain,
spl12_2,
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f670,plain,
( $false
| spl12_3 ),
inference(forward_subsumption_resolution,[],[f650,f574]) ).
fof(f671,plain,
spl12_3,
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f672,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))
| v_a = v_b
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,hAPP(v_P,v_i)) ),
inference(resolution,[],[f579,f596]) ).
fof(f674,definition,
( spl12_7
<=> ! [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))
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).
fof(f675,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_a,X0)
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0) )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f677,definition,
( spl12_8
<=> v_a = v_b ),
introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition]) ).
fof(f678,plain,
( v_a != v_b
| spl12_8 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f679,plain,
( v_a = v_b
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f681,definition,
( spl12_9
<=> 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(definition,[new_symbols(definition,[spl12_9])],[avatar_definition]) ).
fof(f683,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))
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f684,plain,
( spl12_7
| spl12_8
| spl12_9 ),
inference(avatar_split_clause,[],[f672,f681,f677,f674]) ).
fof(f689,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,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,v_a,X0),v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
inference(resolution,[],[f575,f618]) ).
fof(f690,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))
| ~ spl12_8 ),
inference(superposition,[],[f575,f679]) ).
fof(f691,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,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,v_a,X0),v_F(v_P)) )
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f689,f664]) ).
fof(f695,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl12_8 ),
inference(resolution,[],[f690,f591]) ).
fof(f698,plain,
( $false
| ~ spl12_5
| ~ spl12_8 ),
inference(forward_subsumption_resolution,[],[f695,f659]) ).
fof(f699,plain,
( ~ spl12_5
| ~ spl12_8 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f707,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
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P)))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK0(v_P)))
| ~ spl12_9 ),
inference(resolution,[],[f683,f571]) ).
fof(f712,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_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P)))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P)))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK0(v_P)))
| spl12_8
| ~ spl12_9 ),
inference(forward_subsumption_resolution,[],[f707,f678]) ).
fof(f713,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,sK0(v_P)))
| ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK0(v_P)))
| spl12_8
| ~ spl12_9 ),
inference(forward_subsumption_resolution,[],[f712,f574]) ).
fof(f714,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_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK0(v_P)))
| spl12_8
| ~ spl12_9 ),
inference(forward_subsumption_resolution,[],[f713,f573]) ).
fof(f715,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))
| spl12_8
| ~ spl12_9 ),
inference(forward_subsumption_resolution,[],[f714,f572]) ).
fof(f720,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))
| ~ spl12_6
| spl12_8
| ~ spl12_9 ),
inference(resolution,[],[f691,f715]) ).
fof(f722,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl12_6
| spl12_8
| ~ spl12_9 ),
inference(resolution,[],[f720,f591]) ).
fof(f725,plain,
( $false
| ~ spl12_5
| ~ spl12_6
| spl12_8
| ~ spl12_9 ),
inference(forward_subsumption_resolution,[],[f722,f659]) ).
fof(f726,plain,
( ~ spl12_5
| ~ spl12_6
| spl12_8
| ~ spl12_9 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f728,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)))
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))
| ~ spl12_7 ),
inference(resolution,[],[f675,f572]) ).
fof(f739,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)))
| ~ spl12_7 ),
inference(forward_subsumption_resolution,[],[f728,f607]) ).
fof(f740,plain,
( $false
| ~ spl12_7 ),
inference(forward_subsumption_resolution,[],[f739,f608]) ).
fof(f741,plain,
~ spl12_7,
inference(avatar_contradiction_clause,[],[f740]) ).
cnf(s2,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3
| spl12_5 ),
inference(sat_conversion,[],[f660]) ).
cnf(s3,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3
| spl12_6 ),
inference(sat_conversion,[],[f665]) ).
cnf(s4,plain,
spl12_1,
inference(sat_conversion,[],[f667]) ).
cnf(s5,plain,
spl12_2,
inference(sat_conversion,[],[f669]) ).
cnf(s6,plain,
spl12_3,
inference(sat_conversion,[],[f671]) ).
cnf(s7,plain,
( spl12_7
| spl12_8
| spl12_9 ),
inference(sat_conversion,[],[f684]) ).
cnf(s8,plain,
( ~ spl12_5
| ~ spl12_8 ),
inference(sat_conversion,[],[f699]) ).
cnf(s9,plain,
( ~ spl12_5
| ~ spl12_6
| spl12_8
| ~ spl12_9 ),
inference(sat_conversion,[],[f726]) ).
cnf(s11,plain,
~ spl12_7,
inference(sat_conversion,[],[f741]) ).
cnf(s12,plain,
( spl12_8
| spl12_9 ),
inference(rat,[],[s7,s11]) ).
cnf(s13,plain,
spl12_6,
inference(rat,[],[s3,s6,s5,s4]) ).
cnf(s14,plain,
spl12_5,
inference(rat,[],[s2,s6,s5,s4]) ).
cnf(s15,plain,
~ spl12_8,
inference(rat,[],[s8,s14]) ).
cnf(s16,plain,
spl12_9,
inference(rat,[],[s12,s15]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s9,s14,s13,s16,s15]) ).
fof(f742,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SCT121+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n010.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 23:46:17 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.97/1.86 % (1429714)Detected formulas, will run a generic FOF schedule.
% 1.97/1.86 % (1429719)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2203539489:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.97/1.86 % (1429720)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1114060959:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.97/1.86 % (1429724)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2724954542:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.97/1.86 % (1429723)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=129920965:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.97/1.86 % (1429725)dis-21_1_sil=8000:lcm=predicate:random_seed=1477323668:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.97/1.86 % (1429721)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2189042871:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.97/1.86 % (1429722)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1880515243:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.97/1.86 % (1429722)First to succeed.
% 1.97/1.86 % (1429722)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1429714"
% 1.97/1.86 % (1429725)Instruction limit reached!
% 1.97/1.86 % (1429725)------------------------------
% 1.97/1.86 % (1429725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.97/1.86 % (1429725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/1.86 % (1429725)CaDiCaL version: 2.1.3
% 1.97/1.86 % (1429725)Termination reason: Instruction limit
% 1.97/1.86 % (1429725)Termination phase: Saturation
% 1.97/1.86 % (1429725)Time elapsed: 0.120 s
% 1.97/1.86 % (1429725)Peak memory usage: 90 MB
% 1.97/1.86 % (1429725)Instructions burned: 129 (million)
% 1.97/1.86 % (1429723)Instruction limit reached!
% 1.97/1.86 % (1429723)------------------------------
% 1.97/1.86 % (1429723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.97/1.86 % (1429723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/1.86 % (1429723)CaDiCaL version: 2.1.3
% 1.97/1.86 % (1429723)Termination reason: Instruction limit
% 1.97/1.86 % (1429723)Termination phase: Saturation
% 1.97/1.86 % (1429723)Time elapsed: 0.122 s
% 1.97/1.86 % (1429723)Peak memory usage: 89 MB
% 1.97/1.86 % (1429723)Instructions burned: 120 (million)
% 1.97/1.86 % (1429724)Instruction limit reached!
% 1.97/1.86 % (1429724)------------------------------
% 1.97/1.86 % (1429724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.97/1.86 % (1429724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/1.86 % (1429724)CaDiCaL version: 2.1.3
% 1.97/1.86 % (1429724)Termination reason: Instruction limit
% 1.97/1.86 % (1429724)Termination phase: Saturation
% 1.97/1.86 % (1429724)Time elapsed: 0.143 s
% 1.97/1.86 % (1429724)Peak memory usage: 90 MB
% 1.97/1.86 % (1429724)Instructions burned: 139 (million)
% 1.97/1.86 % (1429734)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2948627366:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 1.97/1.86 % (1429734)Refutation not found, incomplete strategy
% 1.97/1.86 % (1429734)------------------------------
% 1.97/1.86 % (1429734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.97/1.86 % (1429734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/1.86 % (1429734)CaDiCaL version: 2.1.3
% 1.97/1.86 % (1429734)Termination reason: Refutation not found, incomplete strategy
% 1.97/1.86 % (1429734)Time elapsed: 0.013 s
% 1.97/1.86 % (1429734)Peak memory usage: 89 MB
% 1.97/1.86 % (1429734)Instructions burned: 10 (million)
% 1.97/1.86 % (1429733)lrs+10_1_sil=8000:sp=occurrence:random_seed=3680200766:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 1.97/1.86 % (1429735)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3636015883:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 1.97/1.86 % (1429735)Also succeeded, but the first one will report.
% 1.97/1.86 % (1429722)Refutation found. Thanks to Tanya!
% 1.97/1.86 % SZS status Theorem for theBenchmark
% 1.97/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 6.37/2.09 % (1429722)------------------------------
% 6.37/2.09 % (1429722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/2.09 % (1429722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/2.09 % (1429722)CaDiCaL version: 2.1.3
% 6.37/2.09 % (1429722)Termination reason: Refutation
% 6.37/2.09 % (1429722)Time elapsed: 0.017 s
% 6.37/2.09 % (1429722)Peak memory usage: 90 MB
% 6.37/2.09 % (1429722)Instructions burned: 13 (million)
% 6.37/2.09 % (1429722)------------------------------
% 6.37/2.09 % (1429722)------------------------------
% 6.37/2.09 % (1429714)Success in time 0.84 s
% 6.37/2.09 % Vampire exiting
%------------------------------------------------------------------------------