%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT122+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:37:33 PM UTC 2026
% Result : Theorem 1.21s 0.63s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 109 ( 33 unt; 11 def)
% Number of atoms : 281 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 288 ( 116 ~; 135 |; 10 &)
% ( 18 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 12 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-4 aty)
% Number of variables : 91 ( 0 sgn 88 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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(f5,axiom,
! [X0,X1] :
( c_Relation_Otrans(X1,X0)
<=> ! [X2,X3] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0)
=> ! [X4] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0)
=> c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_trans__def) ).
fof(f7,axiom,
! [X0,X1] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_top1I) ).
fof(f18,axiom,
! [X0,X1,X2] :
( c_member(X2,X1,X0)
<=> hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).
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/sandbox2/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/sandbox2/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/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)) )
=> ! [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/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(f531,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(f549,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(f550,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,[],[f549]) ).
fof(f551,plain,
! [X0,X1] :
( c_Relation_Otrans(X1,X0)
<=> ! [X2,X3] :
( ! [X4] :
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0) )
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f979,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(f980,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(f981,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,[],[f980]) ).
fof(f985,plain,
! [X2,X0,X1] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0)
| ~ c_Relation_Oirrefl(X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f990,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_Relation_Ototal__on(X2,X1,X0)
| ~ c_member(X2,X4,X1)
| X3 = X4
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
| c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
| ~ c_member(X2,X3,X1) ),
inference(cnf_transformation,[],[f550]) ).
fof(f994,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X0)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X0)
| c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X0)
| ~ c_Relation_Otrans(X1,X0) ),
inference(cnf_transformation,[],[f551]) ).
fof(f997,plain,
! [X0,X1] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f1024,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X0,X1))
| c_member(X2,X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f1025,plain,
! [X2,X0,X1] :
( ~ c_member(X2,X1,X0)
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f1723,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(f1724,plain,
! [X0] : c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f523]) ).
fof(f1725,plain,
! [X0] : c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
inference(cnf_transformation,[],[f523]) ).
fof(f1726,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(f1727,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,sK85))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK85))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK85))
| c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
inference(cnf_transformation,[],[f979]) ).
fof(f1728,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,sK85))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK85))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK85))
| c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
inference(cnf_transformation,[],[f979]) ).
fof(f1730,plain,
! [X2,X1] :
( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sK86))
| ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK86))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK86))
| X1 = X2
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P)) ),
inference(cnf_transformation,[],[f981]) ).
fof(f1731,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,[],[f531]) ).
fof(f1932,definition,
( spl87_1
<=> ! [X2,X1] :
( 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)) ) ),
introduced(definition,[new_symbols(definition,[spl87_1])],[avatar_definition]) ).
fof(f1933,plain,
( ! [X2,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(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))
| X1 = X2 )
| ~ spl87_1 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f1935,definition,
( spl87_2
<=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK86)) ),
introduced(definition,[new_symbols(definition,[spl87_2])],[avatar_definition]) ).
fof(f1937,plain,
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK86))
| spl87_2 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f1939,definition,
( spl87_3
<=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK86)) ),
introduced(definition,[new_symbols(definition,[spl87_3])],[avatar_definition]) ).
fof(f1941,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK86))
| spl87_3 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f1943,definition,
( spl87_4
<=> 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,sK86)) ),
introduced(definition,[new_symbols(definition,[spl87_4])],[avatar_definition]) ).
fof(f1945,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,sK86))
| spl87_4 ),
inference(avatar_component_clause,[],[f1943]) ).
fof(f1946,plain,
( spl87_1
| ~ spl87_2
| ~ spl87_3
| ~ spl87_4 ),
inference(avatar_split_clause,[],[f1730,f1943,f1939,f1935,f1932]) ).
fof(f1948,definition,
( spl87_5
<=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
introduced(definition,[new_symbols(definition,[spl87_5])],[avatar_definition]) ).
fof(f1950,plain,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl87_5 ),
inference(avatar_component_clause,[],[f1948]) ).
fof(f1952,definition,
( spl87_6
<=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK85)) ),
introduced(definition,[new_symbols(definition,[spl87_6])],[avatar_definition]) ).
fof(f1954,plain,
( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK85))
| spl87_6 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f1956,definition,
( spl87_7
<=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK85)) ),
introduced(definition,[new_symbols(definition,[spl87_7])],[avatar_definition]) ).
fof(f1958,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK85))
| spl87_7 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f1960,definition,
( spl87_8
<=> 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,sK85)) ),
introduced(definition,[new_symbols(definition,[spl87_8])],[avatar_definition]) ).
fof(f1962,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,sK85))
| spl87_8 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f1963,plain,
( spl87_5
| ~ spl87_6
| ~ spl87_7
| ~ spl87_8 ),
inference(avatar_split_clause,[],[f1727,f1960,f1956,f1952,f1948]) ).
fof(f1965,definition,
( spl87_9
<=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
introduced(definition,[new_symbols(definition,[spl87_9])],[avatar_definition]) ).
fof(f1967,plain,
( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl87_9 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f1968,plain,
( spl87_9
| ~ spl87_6
| ~ spl87_7
| ~ spl87_8 ),
inference(avatar_split_clause,[],[f1728,f1960,f1956,f1952,f1965]) ).
fof(f1974,plain,
( $false
| spl87_6 ),
inference(forward_subsumption_resolution,[],[f1954,f1725]) ).
fof(f1975,plain,
spl87_6,
inference(avatar_contradiction_clause,[],[f1974]) ).
fof(f1976,plain,
( $false
| spl87_7 ),
inference(forward_subsumption_resolution,[],[f1958,f1724]) ).
fof(f1977,plain,
spl87_7,
inference(avatar_contradiction_clause,[],[f1976]) ).
fof(f1987,plain,
( $false
| spl87_4 ),
inference(forward_subsumption_resolution,[],[f1945,f1723]) ).
fof(f1988,plain,
spl87_4,
inference(avatar_contradiction_clause,[],[f1987]) ).
fof(f1989,plain,
( $false
| spl87_2 ),
inference(forward_subsumption_resolution,[],[f1937,f1725]) ).
fof(f1990,plain,
spl87_2,
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f1991,plain,
( $false
| spl87_3 ),
inference(forward_subsumption_resolution,[],[f1941,f1724]) ).
fof(f1992,plain,
spl87_3,
inference(avatar_contradiction_clause,[],[f1991]) ).
fof(f1993,plain,
( $false
| spl87_8 ),
inference(forward_subsumption_resolution,[],[f1962,f1723]) ).
fof(f1994,plain,
spl87_8,
inference(avatar_contradiction_clause,[],[f1993]) ).
fof(f2256,plain,
! [X2,X0,X1] : c_member(X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))),
inference(resolution,[],[f1024,f997]) ).
fof(f2275,plain,
hBOOL(hAPP(v_F(v_P),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b))),
inference(resolution,[],[f1025,f1726]) ).
fof(f2281,plain,
! [X0] : c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
inference(resolution,[],[f2275,f1024]) ).
fof(f2627,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))
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
inference(resolution,[],[f994,f2281]) ).
fof(f2641,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)) )
| ~ spl87_5 ),
inference(forward_subsumption_resolution,[],[f2627,f1950]) ).
fof(f2970,plain,
! [X2,X0,X1] :
( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))
| 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,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,X0),hAPP(v_P,X2))
| ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool))) ),
inference(resolution,[],[f990,f1723]) ).
fof(f2973,plain,
! [X2,X0,X1] :
( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))
| 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,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,X0),hAPP(v_P,X2)) ),
inference(forward_subsumption_resolution,[],[f2970,f2256]) ).
fof(f2975,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,X0,X1),hAPP(v_P,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,X0),hAPP(v_P,X2))
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f2973,f2256]) ).
fof(f3043,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))
| v_a = v_b ),
inference(resolution,[],[f2975,f1731]) ).
fof(f3068,definition,
( spl87_11
<=> v_a = v_b ),
introduced(definition,[new_symbols(definition,[spl87_11])],[avatar_definition]) ).
fof(f3069,plain,
( v_a != v_b
| spl87_11 ),
inference(avatar_component_clause,[],[f3068]) ).
fof(f3070,plain,
( v_a = v_b
| ~ spl87_11 ),
inference(avatar_component_clause,[],[f3068]) ).
fof(f3072,definition,
( spl87_12
<=> 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,[spl87_12])],[avatar_definition]) ).
fof(f3074,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))
| ~ spl87_12 ),
inference(avatar_component_clause,[],[f3072]) ).
fof(f3079,plain,
( spl87_11
| spl87_12 ),
inference(avatar_split_clause,[],[f3043,f3072,f3068]) ).
fof(f3084,plain,
( ! [X0] : c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_a),v_F(v_P))
| ~ spl87_11 ),
inference(superposition,[],[f2281,f3070]) ).
fof(f3088,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl87_11 ),
inference(resolution,[],[f3084,f985]) ).
fof(f3091,plain,
( $false
| ~ spl87_9
| ~ spl87_11 ),
inference(forward_subsumption_resolution,[],[f3088,f1967]) ).
fof(f3092,plain,
( ~ spl87_9
| ~ spl87_11 ),
inference(avatar_contradiction_clause,[],[f3091]) ).
fof(f3093,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
| ~ spl87_1
| ~ spl87_12 ),
inference(resolution,[],[f3074,f1933]) ).
fof(f3097,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))
| ~ spl87_1
| spl87_11
| ~ spl87_12 ),
inference(forward_subsumption_resolution,[],[f3093,f3069]) ).
fof(f3113,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))
| ~ spl87_1
| ~ spl87_5
| spl87_11
| ~ spl87_12 ),
inference(resolution,[],[f3097,f2641]) ).
fof(f3122,plain,
( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
| ~ spl87_1
| ~ spl87_5
| spl87_11
| ~ spl87_12 ),
inference(resolution,[],[f3113,f985]) ).
fof(f3125,plain,
( $false
| ~ spl87_1
| ~ spl87_5
| ~ spl87_9
| spl87_11
| ~ spl87_12 ),
inference(forward_subsumption_resolution,[],[f3122,f1967]) ).
fof(f3126,plain,
( ~ spl87_1
| ~ spl87_5
| ~ spl87_9
| spl87_11
| ~ spl87_12 ),
inference(avatar_contradiction_clause,[],[f3125]) ).
cnf(s1,plain,
( spl87_1
| ~ spl87_2
| ~ spl87_3
| ~ spl87_4 ),
inference(sat_conversion,[],[f1946]) ).
cnf(s2,plain,
( spl87_5
| ~ spl87_6
| ~ spl87_7
| ~ spl87_8 ),
inference(sat_conversion,[],[f1963]) ).
cnf(s3,plain,
( ~ spl87_6
| ~ spl87_7
| ~ spl87_8
| spl87_9 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s5,plain,
spl87_6,
inference(sat_conversion,[],[f1975]) ).
cnf(s6,plain,
spl87_7,
inference(sat_conversion,[],[f1977]) ).
cnf(s7,plain,
spl87_4,
inference(sat_conversion,[],[f1988]) ).
cnf(s8,plain,
spl87_2,
inference(sat_conversion,[],[f1990]) ).
cnf(s9,plain,
spl87_3,
inference(sat_conversion,[],[f1992]) ).
cnf(s10,plain,
spl87_8,
inference(sat_conversion,[],[f1994]) ).
cnf(s12,plain,
( spl87_11
| spl87_12 ),
inference(sat_conversion,[],[f3079]) ).
cnf(s13,plain,
( ~ spl87_9
| ~ spl87_11 ),
inference(sat_conversion,[],[f3092]) ).
cnf(s14,plain,
( ~ spl87_1
| ~ spl87_5
| ~ spl87_9
| spl87_11
| ~ spl87_12 ),
inference(sat_conversion,[],[f3126]) ).
cnf(s16,plain,
spl87_9,
inference(rat,[],[s3,s10,s6,s5]) ).
cnf(s17,plain,
~ spl87_11,
inference(rat,[],[s13,s16]) ).
cnf(s18,plain,
spl87_12,
inference(rat,[],[s12,s17]) ).
cnf(s19,plain,
spl87_5,
inference(rat,[],[s2,s10,s6,s5]) ).
cnf(s20,plain,
~ spl87_1,
inference(rat,[],[s14,s18,s17,s16,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s1,s7,s9,s8,s20]) ).
fof(f3127,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT122+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 23:45:46 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 Running first-order model finding
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.21/0.63 % (1292699)Will run a generic schedule for satisfiability detection.
% 1.21/0.63 % (1292704)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1614711174_2999 on theBenchmark for (2999ds/0Mi)
% 1.21/0.63 % (1292705)% WARNING: option uhcvi not known.
% 1.21/0.63 % (1292705)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=458461539:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.21/0.63 % (1292706)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1057447600:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.21/0.63 % (1292707)dis+10_1_sil=32000:sp=arity:random_seed=541703868:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.21/0.63 % (1292708)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2896156196:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.21/0.63 % (1292709)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3714650954:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.21/0.63 % (1292710)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4138707759:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.21/0.63 % (1292707)Instruction limit reached!
% 1.21/0.63 % (1292707)------------------------------
% 1.21/0.63 % (1292707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.63 % (1292707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.63 % (1292707)CaDiCaL version: 2.1.3
% 1.21/0.63 % (1292707)Termination reason: Instruction limit
% 1.21/0.63 % (1292707)Termination phase: Saturation
% 1.21/0.63 % (1292707)Time elapsed: 0.062 s
% 1.21/0.63 % (1292707)Peak memory usage: 13 MB
% 1.21/0.63 % (1292707)Instructions burned: 104 (million)
% 1.21/0.63 % (1292708)Instruction limit reached!
% 1.21/0.63 % (1292708)------------------------------
% 1.21/0.63 % (1292708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.63 % (1292708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.63 % (1292708)CaDiCaL version: 2.1.3
% 1.21/0.63 % (1292708)Termination reason: Instruction limit
% 1.21/0.63 % (1292708)Termination phase: Saturation
% 1.21/0.63 % (1292708)Time elapsed: 0.064 s
% 1.21/0.63 % (1292708)Peak memory usage: 13 MB
% 1.21/0.63 % (1292708)Instructions burned: 116 (million)
% 1.21/0.63 % (1292709)Instruction limit reached!
% 1.21/0.63 % (1292709)------------------------------
% 1.21/0.63 % (1292709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.63 % (1292709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.63 % (1292709)CaDiCaL version: 2.1.3
% 1.21/0.63 % (1292709)Termination reason: Instruction limit
% 1.21/0.63 % (1292709)Termination phase: Saturation
% 1.21/0.63 % (1292709)Time elapsed: 0.079 s
% 1.21/0.63 % (1292709)Peak memory usage: 14 MB
% 1.21/0.63 % (1292709)Instructions burned: 131 (million)
% 1.21/0.63 % (1292718)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2080647395:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.21/0.63 % (1292719)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=940243000:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.21/0.63 % (1292720)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4102329462:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.21/0.63 % (1292710)Instruction limit reached!
% 1.21/0.63 % (1292710)------------------------------
% 1.21/0.63 % (1292710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.63 % (1292710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.63 % (1292710)CaDiCaL version: 2.1.3
% 1.21/0.63 % (1292710)Termination reason: Instruction limit
% 1.21/0.63 % (1292710)Termination phase: Saturation
% 1.21/0.63 % (1292710)Time elapsed: 0.100 s
% 1.21/0.63 % (1292710)Peak memory usage: 14 MB
% 1.21/0.63 % (1292710)Instructions burned: 160 (million)
% 1.21/0.63 % TRYING [1]
% 1.21/0.63 % (1292724)ott-21_1_sil=16000:fs=off:random_seed=3477722403:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.21/0.63 % TRYING [2]
% 1.21/0.63 % (1292719)Instruction limit reached!
% 1.21/0.63 % (1292719)------------------------------
% 1.21/0.63 % (1292719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.63 % (1292719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.63 % (1292719)CaDiCaL version: 2.1.3
% 1.21/0.63 % (1292719)Termination reason: Instruction limit
% 1.21/0.63 % (1292719)Termination phase: Saturation
% 1.21/0.63 % (1292719)Time elapsed: 0.068 s
% 1.21/0.63 % (1292719)Peak memory usage: 13 MB
% 1.21/0.63 % (1292719)Instructions burned: 131 (million)
% 1.21/0.63 % (1292726)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2199273541:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.21/0.63 % (1292720) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1292699-1292720"...
% 1.21/0.63 % (1292720)...printing done.
% 1.21/0.63 % (1292720)Refutation found. Thanks to Tanya!
% 1.21/0.63 % SZS status Theorem for theBenchmark
% 1.21/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.21/0.63 % (1292720)------------------------------
% 1.21/0.63 % (1292720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.63 % (1292720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.63 % (1292720)CaDiCaL version: 2.1.3
% 1.21/0.63 % (1292720)Termination reason: Refutation
% 1.21/0.63 % (1292720)Time elapsed: 0.077 s
% 1.21/0.63 % (1292720)Peak memory usage: 14 MB
% 1.21/0.63 % (1292720)Instructions burned: 128 (million)
% 1.21/0.63 % (1292699)Success in time 0.235 s
% 1.21/0.63 % Vampire exiting
%------------------------------------------------------------------------------