%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT122+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 2.03s 1.14s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 120 ( 34 unt; 12 def)
% Number of atoms : 356 ( 23 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 404 ( 168 ~; 180 |; 30 &)
% ( 16 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-4 aty)
% Number of variables : 115 ( 0 sgn 105 !; 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',fact_iso__tuple__UNIV__I) ).
fof(f523,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/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f524,axiom,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f525,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/sandbox/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)) )
=> ! [X1,X2] :
( X1 != X2
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i))
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P)) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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,
( ( 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,[],[f525]) ).
fof(f532,plain,
( ! [X1,X2] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i))
| X1 = X2 )
| ? [X0] :
( ~ c_Relation_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(f533,plain,
( ! [X1,X2] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i))
| X1 = X2 )
| ? [X0] :
( ~ c_Relation_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(flattening,[],[f532]) ).
fof(f535,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(f536,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,[],[f535]) ).
fof(f542,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(f543,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,[],[f542]) ).
fof(f552,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,sK0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| ~ 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)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f531]) ).
fof(f553,plain,
( ! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_F(v_P))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P,v_i))
| X0 = X1 )
| ? [X2] :
( ~ c_Relation_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)) ) ),
inference(rectify,[],[f533]) ).
fof(f554,plain,
( ! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_F(v_P))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P,v_i))
| X0 = X1 )
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ 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(X2,sK1)],[f553]) ).
fof(f556,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(f557,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,[],[f556]) ).
fof(f558,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))],[f557]) ).
fof(f560,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,[],[f536]) ).
fof(f561,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,[],[f560]) ).
fof(f562,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))],[f561]) ).
fof(f571,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,[],[f523]) ).
fof(f572,plain,
! [X0] : c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f523]) ).
fof(f573,plain,
! [X0] : c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f523]) ).
fof(f574,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
inference(cnf_transformation,[],[f524]) ).
fof(f576,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))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| ~ 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)) ),
inference(cnf_transformation,[],[f552]) ).
fof(f577,plain,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| ~ 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)) ),
inference(cnf_transformation,[],[f552]) ).
fof(f578,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_F(v_P))
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P,v_i))
| X0 = X1
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1))
| ~ 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(f582,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,[],[f558]) ).
fof(f587,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,[],[f562]) ).
fof(f598,plain,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(cnf_transformation,[],[f13]) ).
fof(f599,plain,
! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(cnf_transformation,[],[f2]) ).
fof(f609,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,[],[f543]) ).
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(f652,definition,
( spl12_4
<=> ! [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))
| 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)) ) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f653,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)) )
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f654,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f578,f652,f648,f644,f640]) ).
fof(f656,definition,
( spl12_5
<=> 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)) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f658,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,sK0))
| spl12_5 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f660,definition,
( spl12_6
<=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f662,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| spl12_6 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f664,definition,
( spl12_7
<=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0)) ),
introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).
fof(f666,plain,
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0))
| spl12_7 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f673,definition,
( spl12_9
<=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
introduced(definition,[new_symbols(definition,[spl12_9])],[avatar_definition]) ).
fof(f675,plain,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f676,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| spl12_9 ),
inference(avatar_split_clause,[],[f576,f673,f664,f660,f656]) ).
fof(f678,definition,
( spl12_10
<=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition]) ).
fof(f680,plain,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f681,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| spl12_10 ),
inference(avatar_split_clause,[],[f577,f678,f664,f660,f656]) ).
fof(f682,plain,
( $false
| spl12_3 ),
inference(forward_subsumption_resolution,[],[f650,f573]) ).
fof(f683,plain,
spl12_3,
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f684,plain,
( $false
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f658,f571]) ).
fof(f685,plain,
spl12_5,
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f686,plain,
( $false
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f642,f571]) ).
fof(f687,plain,
spl12_1,
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f688,plain,
( $false
| spl12_7 ),
inference(forward_subsumption_resolution,[],[f666,f573]) ).
fof(f689,plain,
spl12_7,
inference(avatar_contradiction_clause,[],[f688]) ).
fof(f690,plain,
( $false
| spl12_2 ),
inference(forward_subsumption_resolution,[],[f646,f572]) ).
fof(f691,plain,
spl12_2,
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f692,plain,
( $false
| spl12_6 ),
inference(forward_subsumption_resolution,[],[f662,f572]) ).
fof(f693,plain,
spl12_6,
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f694,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,f587]) ).
fof(f696,definition,
( spl12_11
<=> ! [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_11])],[avatar_definition]) ).
fof(f697,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_11 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f699,definition,
( spl12_12
<=> v_a = v_b ),
introduced(definition,[new_symbols(definition,[spl12_12])],[avatar_definition]) ).
fof(f700,plain,
( v_a != v_b
| spl12_12 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f701,plain,
( v_a = v_b
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f703,definition,
( spl12_13
<=> 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_13])],[avatar_definition]) ).
fof(f705,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_13 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f706,plain,
( spl12_11
| spl12_12
| spl12_13 ),
inference(avatar_split_clause,[],[f694,f703,f699,f696]) ).
fof(f711,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,[],[f574,f609]) ).
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_a,v_a),v_F(v_P))
| ~ spl12_12 ),
inference(superposition,[],[f574,f701]) ).
fof(f713,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_10 ),
inference(forward_subsumption_resolution,[],[f711,f680]) ).
fof(f717,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl12_12 ),
inference(resolution,[],[f712,f582]) ).
fof(f720,plain,
( $false
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_subsumption_resolution,[],[f717,f675]) ).
fof(f721,plain,
( ~ spl12_9
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f729,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))
| ~ spl12_4
| ~ spl12_13 ),
inference(resolution,[],[f705,f653]) ).
fof(f734,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_4
| spl12_12
| ~ spl12_13 ),
inference(forward_subsumption_resolution,[],[f729,f700]) ).
fof(f739,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_4
| ~ spl12_10
| spl12_12
| ~ spl12_13 ),
inference(resolution,[],[f713,f734]) ).
fof(f741,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl12_4
| ~ spl12_10
| spl12_12
| ~ spl12_13 ),
inference(resolution,[],[f739,f582]) ).
fof(f744,plain,
( $false
| ~ spl12_4
| ~ spl12_9
| ~ spl12_10
| spl12_12
| ~ spl12_13 ),
inference(forward_subsumption_resolution,[],[f741,f675]) ).
fof(f745,plain,
( ~ spl12_4
| ~ spl12_9
| ~ spl12_10
| spl12_12
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f744]) ).
fof(f747,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_11 ),
inference(resolution,[],[f697,f571]) ).
fof(f758,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_11 ),
inference(forward_subsumption_resolution,[],[f747,f598]) ).
fof(f759,plain,
( $false
| ~ spl12_11 ),
inference(forward_subsumption_resolution,[],[f758,f599]) ).
fof(f760,plain,
~ spl12_11,
inference(avatar_contradiction_clause,[],[f759]) ).
cnf(s1,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3
| spl12_4 ),
inference(sat_conversion,[],[f654]) ).
cnf(s3,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| spl12_9 ),
inference(sat_conversion,[],[f676]) ).
cnf(s4,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| spl12_10 ),
inference(sat_conversion,[],[f681]) ).
cnf(s5,plain,
spl12_3,
inference(sat_conversion,[],[f683]) ).
cnf(s6,plain,
spl12_5,
inference(sat_conversion,[],[f685]) ).
cnf(s7,plain,
spl12_1,
inference(sat_conversion,[],[f687]) ).
cnf(s8,plain,
spl12_7,
inference(sat_conversion,[],[f689]) ).
cnf(s9,plain,
spl12_2,
inference(sat_conversion,[],[f691]) ).
cnf(s10,plain,
spl12_6,
inference(sat_conversion,[],[f693]) ).
cnf(s11,plain,
( spl12_11
| spl12_12
| spl12_13 ),
inference(sat_conversion,[],[f706]) ).
cnf(s12,plain,
( ~ spl12_9
| ~ spl12_12 ),
inference(sat_conversion,[],[f721]) ).
cnf(s13,plain,
( ~ spl12_4
| ~ spl12_9
| ~ spl12_10
| spl12_12
| ~ spl12_13 ),
inference(sat_conversion,[],[f745]) ).
cnf(s15,plain,
~ spl12_11,
inference(sat_conversion,[],[f760]) ).
cnf(s16,plain,
( spl12_12
| spl12_13 ),
inference(rat,[],[s11,s15]) ).
cnf(s17,plain,
spl12_10,
inference(rat,[],[s4,s8,s10,s6]) ).
cnf(s18,plain,
spl12_9,
inference(rat,[],[s3,s8,s10,s6]) ).
cnf(s19,plain,
~ spl12_12,
inference(rat,[],[s12,s18]) ).
cnf(s20,plain,
spl12_13,
inference(rat,[],[s16,s19]) ).
cnf(s21,plain,
~ spl12_4,
inference(rat,[],[s13,s20,s18,s17,s19]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s21,s5,s9,s7]) ).
fof(f761,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT122+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.35 % Computer : n008.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8046.5625MB
% 0.12/0.35 % OS : Linux 6.8.0-71-generic
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Sep 27 23:46:40 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.03/1.14 % (1731517)Detected formulas, will run a generic FOF schedule.
% 2.03/1.14 % (1731525)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4170290515:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.03/1.14 % (1731525)First to succeed.
% 2.03/1.14 % (1731525)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1731517"
% 2.03/1.14 % (1731523)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=925775686:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.03/1.14 % (1731524)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=3691848683:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.03/1.14 % (1731522)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=1530574402:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.03/1.14 % (1731527)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3276689121:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.03/1.14 % (1731526)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1158605964:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.03/1.14 % (1731528)dis-21_1_sil=8000:lcm=predicate:random_seed=3209871541: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)
% 2.03/1.14 % (1731528)Instruction limit reached!
% 2.03/1.14 % (1731528)------------------------------
% 2.03/1.14 % (1731528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/1.14 % (1731528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/1.14 % (1731528)CaDiCaL version: 2.1.3
% 2.03/1.14 % (1731528)Termination reason: Instruction limit
% 2.03/1.14 % (1731528)Termination phase: Saturation
% 2.03/1.14 % (1731528)Time elapsed: 0.063 s
% 2.03/1.14 % (1731528)Peak memory usage: 90 MB
% 2.03/1.14 % (1731528)Instructions burned: 129 (million)
% 2.03/1.14 % (1731526)Instruction limit reached!
% 2.03/1.14 % (1731526)------------------------------
% 2.03/1.14 % (1731526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/1.14 % (1731526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/1.14 % (1731526)CaDiCaL version: 2.1.3
% 2.03/1.14 % (1731526)Termination reason: Instruction limit
% 2.03/1.14 % (1731526)Termination phase: Saturation
% 2.03/1.14 % (1731526)Time elapsed: 0.074 s
% 2.03/1.14 % (1731526)Peak memory usage: 89 MB
% 2.03/1.14 % (1731526)Instructions burned: 120 (million)
% 2.03/1.14 % (1731527)Instruction limit reached!
% 2.03/1.14 % (1731527)------------------------------
% 2.03/1.14 % (1731527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/1.14 % (1731527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/1.14 % (1731527)CaDiCaL version: 2.1.3
% 2.03/1.14 % (1731527)Termination reason: Instruction limit
% 2.03/1.14 % (1731527)Termination phase: Saturation
% 2.03/1.14 % (1731527)Time elapsed: 0.092 s
% 2.03/1.14 % (1731527)Peak memory usage: 90 MB
% 2.03/1.14 % (1731527)Instructions burned: 140 (million)
% 2.03/1.14 % (1731525)Refutation found. Thanks to Tanya!
% 2.03/1.14 % SZS status Theorem for theBenchmark
% 2.03/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.33 % (1731525)------------------------------
% 2.66/1.33 % (1731525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.33 % (1731525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.33 % (1731525)CaDiCaL version: 2.1.3
% 2.66/1.33 % (1731525)Termination reason: Refutation
% 2.66/1.33 % (1731525)Time elapsed: 0.006 s
% 2.66/1.33 % (1731525)Peak memory usage: 90 MB
% 2.66/1.33 % (1731525)Instructions burned: 13 (million)
% 2.66/1.33 % (1731525)------------------------------
% 2.66/1.33 % (1731525)------------------------------
% 2.66/1.33 % (1731517)Success in time 0.305 s
% 2.66/1.33 % Vampire exiting
%------------------------------------------------------------------------------