%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW508_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 01:40:21 PM UTC 2026
% Result : Theorem 0.11s 0.27s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 69 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 33 ~; 29 |; 10 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-6 aty)
% Number of functors : 66 ( 66 usr; 13 con; 0-10 aty)
% Number of variables : 60 ( 50 !; 10 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
com: $tType ).
tff(type_def_7,type,
loc: $tType ).
tff(type_def_8,type,
pname: $tType ).
tff(type_def_9,type,
state: $tType ).
tff(type_def_10,type,
vname: $tType ).
tff(type_def_11,type,
bool: $tType ).
tff(type_def_12,type,
hoare_28830079triple: $tType > $tType ).
tff(type_def_13,type,
nat: $tType ).
tff(type_def_14,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_2,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_3,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_4,type,
skip: com ).
tff(func_def_5,type,
semi: ( com * com ) > com ).
tff(func_def_6,type,
com_case:
!>[X0: $tType] : ( ( X0 * fun(vname,fun(fun(state,nat),X0)) * fun(loc,fun(fun(state,nat),fun(com,X0))) * fun(com,fun(com,X0)) * fun(fun(state,bool),fun(com,fun(com,X0))) * fun(fun(state,bool),fun(com,X0)) * fun(pname,X0) * fun(vname,fun(pname,fun(fun(state,nat),X0))) * com ) > X0 ) ).
tff(func_def_7,type,
minus_minus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_8,type,
hoare_1841697145triple:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) ) > hoare_28830079triple(X0) ) ).
tff(func_def_9,type,
hoare_376461865e_case:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).
tff(func_def_10,type,
hoare_678420151le_rec:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).
tff(func_def_11,type,
bot_bot:
!>[X0: $tType] : X0 ).
tff(func_def_12,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_13,type,
insert:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_14,type,
the_elem:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_15,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fNot: fun(bool,bool) ).
tff(func_def_18,type,
fTrue: bool ).
tff(func_def_19,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_20,type,
fdisj: fun(bool,fun(bool,bool)) ).
tff(func_def_21,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_22,type,
fimplies: fun(bool,fun(bool,bool)) ).
tff(func_def_23,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_24,type,
g: fun(hoare_28830079triple(a),bool) ).
tff(func_def_25,type,
p1: fun(a,fun(state,bool)) ).
tff(func_def_26,type,
q1: fun(a,fun(state,bool)) ).
tff(func_def_27,type,
c: com ).
tff(func_def_28,type,
sK3:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_29,type,
sK4:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_30,type,
sK5:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_31,type,
sK6:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_32,type,
sK7:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 * X0 ) > fun(X0,bool) ) ).
tff(func_def_33,type,
sK8:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(func_def_34,type,
sK9:
!>[X0: $tType] : ( hoare_28830079triple(X0) > com ) ).
tff(func_def_35,type,
sK10:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(func_def_36,type,
sK11:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > fun(X0,bool) ) ).
tff(func_def_37,type,
sK12:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > fun(X0,bool) ) ).
tff(func_def_38,type,
sK13:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_39,type,
sK14:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > X0 ) ).
tff(func_def_40,type,
sK15:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_41,type,
sK16:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).
tff(func_def_42,type,
sK17:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_43,type,
sK18:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_44,type,
sK19:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_45,type,
sK20:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,fun(X0,X0)) ) > X0 ) ).
tff(func_def_46,type,
sK21:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,fun(X0,X0)) ) > fun(X0,bool) ) ).
tff(func_def_47,type,
sK22:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) * fun(X0,fun(X0,X0)) ) > X0 ) ).
tff(func_def_48,type,
sK23:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) * fun(X0,fun(X0,X0)) ) > fun(X0,bool) ) ).
tff(func_def_49,type,
sK24:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) * fun(X0,fun(X0,X0)) ) > X0 ) ).
tff(func_def_50,type,
sK25:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * X1 * X1 * fun(X0,fun(X1,X1)) ) > X0 ) ).
tff(func_def_51,type,
sK26:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * X1 * X1 * fun(X0,fun(X1,X1)) ) > fun(X0,bool) ) ).
tff(func_def_52,type,
sK27:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * X1 * X1 * fun(X0,fun(X1,X1)) ) > X1 ) ).
tff(func_def_53,type,
sK28:
!>[X0: $tType] : ( fun(fun(X0,bool),bool) > X0 ) ).
tff(func_def_54,type,
sK29:
!>[X0: $tType] : ( fun(fun(X0,bool),bool) > fun(X0,bool) ) ).
tff(func_def_55,type,
sK30:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,bool) ) > X0 ) ).
tff(func_def_56,type,
sK31:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_57,type,
sK32:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_58,type,
sK33:
!>[X0: $tType] : ( fun(fun(X0,bool),bool) > X0 ) ).
tff(func_def_59,type,
sK34:
!>[X0: $tType] : ( fun(fun(X0,bool),bool) > fun(X0,bool) ) ).
tff(func_def_60,type,
sK35: ( state * state ) > a ).
tff(func_def_61,type,
sK36: a ).
tff(func_def_62,type,
sK37: state ).
tff(func_def_63,type,
sK38: ( fun(a,fun(state,bool)) * fun(a,fun(state,bool)) ) > state ).
tff(pred_def_1,type,
cl_Groups_Ominus:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
bot:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
finite_finite:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
finite_finite1:
!>[X0: $tType] : ( fun(X0,bool) > $o ) ).
tff(pred_def_5,type,
finite_fold1Set:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_6,type,
finite_fold_graph:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * fun(X0,bool) * X1 ) > $o ) ).
tff(pred_def_7,type,
finite_folding_one:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(fun(X0,bool),X0) ) > $o ) ).
tff(pred_def_8,type,
hoare_992312373derivs:
!>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).
tff(pred_def_9,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_10,type,
pp: bool > $o ).
tff(pred_def_11,type,
p: ( a * state ) > $o ).
tff(pred_def_12,type,
q: ( a * state ) > $o ).
tff(pred_def_13,type,
sP0:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
sP1:
!>[X0: $tType] : ( ( X0 * X0 * fun(X0,bool) * fun(X0,bool) ) > $o ) ).
tff(pred_def_15,type,
sP2:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * X1 * X1 * fun(X0,fun(X1,X1)) ) > $o ) ).
tff(f27,axiom,
! [X0: $tType,X1: fun(X0,bool),X2: X0] : ( insert(X0,X2,X1) = collect(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fdisj,combc(X0,X0,bool,fequal(X0),X2)),combc(X0,fun(X0,bool),bool,member(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_insert__compr) ).
tff(f128,axiom,
hoare_992312373derivs(a,g,insert(hoare_28830079triple(a),hoare_1841697145triple(a,p1,c,q1),bot_bot(fun(hoare_28830079triple(a),bool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f129,axiom,
! [X0: a,X1: state] :
( p(X0,X1)
=> ! [X2: state] :
( ! [X3: a] :
( pp(aa(state,bool,aa(a,fun(state,bool),p1,X3),X1))
=> pp(aa(state,bool,aa(a,fun(state,bool),q1,X3),X2)) )
=> q(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f130,conjecture,
! [X0: a,X1: state] :
( ~ p(X0,X1)
| ? [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( hoare_992312373derivs(a,g,insert(hoare_28830079triple(a),hoare_1841697145triple(a,X2,c,X3),bot_bot(fun(hoare_28830079triple(a),bool))))
& ! [X4: state] :
( ? [X5: a] :
( pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),X1))
& ~ pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),X4)) )
| q(X0,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
tff(f131,negated_conjecture,
~ ! [X0: a,X1: state] :
( ~ p(X0,X1)
| ? [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( hoare_992312373derivs(a,g,insert(hoare_28830079triple(a),hoare_1841697145triple(a,X2,c,X3),bot_bot(fun(hoare_28830079triple(a),bool))))
& ! [X4: state] :
( ? [X5: a] :
( pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),X1))
& ~ pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),X4)) )
| q(X0,X4) ) ) ),
inference(negated_conjecture,[status(cth)],[f130]) ).
tff(f198,plain,
! [X0: a,X1: state] :
( ! [X2: state] :
( q(X0,X2)
| ? [X3: a] :
( ~ pp(aa(state,bool,aa(a,fun(state,bool),q1,X3),X2))
& pp(aa(state,bool,aa(a,fun(state,bool),p1,X3),X1)) ) )
| ~ p(X0,X1) ),
inference(ennf_transformation,[],[f129]) ).
tff(f199,plain,
? [X0: a,X1: state] :
( p(X0,X1)
& ! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( ~ hoare_992312373derivs(a,g,insert(hoare_28830079triple(a),hoare_1841697145triple(a,X2,c,X3),bot_bot(fun(hoare_28830079triple(a),bool))))
| ? [X4: state] :
( ! [X5: a] :
( ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),X1))
| pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),X4)) )
& ~ q(X0,X4) ) ) ),
inference(ennf_transformation,[],[f131]) ).
tff(f268,plain,
! [X0: a,X1: state] :
( ! [X2: state] :
( q(X0,X2)
| ( ~ pp(aa(state,bool,aa(a,fun(state,bool),q1,sK35(X1,X2)),X2))
& pp(aa(state,bool,aa(a,fun(state,bool),p1,sK35(X1,X2)),X1)) ) )
| ~ p(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X3,sK35(X1,X2))],[f198]) ).
tff(f269,plain,
( p(sK36,sK37)
& ! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( ~ hoare_992312373derivs(a,g,insert(hoare_28830079triple(a),hoare_1841697145triple(a,X2,c,X3),bot_bot(fun(hoare_28830079triple(a),bool))))
| ( ! [X5: a] :
( ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),sK37))
| pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),sK38(X2,X3))) )
& ~ q(sK36,sK38(X2,X3)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37,sK38]),skolemize(X0,sK36),skolemize(X1,sK37),skolemize(X4,sK38(X2,X3))],[f199]) ).
tff(f320,plain,
! [X0: $tType,X2: X0,X1: fun(X0,bool)] : ( insert(X0,X2,X1) = collect(X0,combs(X0,bool,bool,combb(bool,fun(bool,bool),X0,fdisj,combc(X0,X0,bool,fequal(X0),X2)),combc(X0,fun(X0,bool),bool,member(X0),X1))) ),
inference(cnf_transformation,[],[f27]) ).
tff(f465,plain,
hoare_992312373derivs(a,g,insert(hoare_28830079triple(a),hoare_1841697145triple(a,p1,c,q1),bot_bot(fun(hoare_28830079triple(a),bool)))),
inference(cnf_transformation,[],[f128]) ).
tff(f466,plain,
! [X2: state,X0: a,X1: state] :
( ~ p(X0,X1)
| pp(aa(state,bool,aa(a,fun(state,bool),p1,sK35(X1,X2)),X1))
| q(X0,X2) ),
inference(cnf_transformation,[],[f268]) ).
tff(f467,plain,
! [X2: state,X0: a,X1: state] :
( ~ pp(aa(state,bool,aa(a,fun(state,bool),q1,sK35(X1,X2)),X2))
| q(X0,X2)
| ~ p(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
tff(f468,plain,
! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( ~ hoare_992312373derivs(a,g,insert(hoare_28830079triple(a),hoare_1841697145triple(a,X2,c,X3),bot_bot(fun(hoare_28830079triple(a),bool))))
| ~ q(sK36,sK38(X2,X3)) ),
inference(cnf_transformation,[],[f269]) ).
tff(f469,plain,
! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool)),X5: a] :
( ~ hoare_992312373derivs(a,g,insert(hoare_28830079triple(a),hoare_1841697145triple(a,X2,c,X3),bot_bot(fun(hoare_28830079triple(a),bool))))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),sK37))
| pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),sK38(X2,X3))) ),
inference(cnf_transformation,[],[f269]) ).
tff(f470,plain,
p(sK36,sK37),
inference(cnf_transformation,[],[f269]) ).
tff(f546,plain,
hoare_992312373derivs(a,g,collect(hoare_28830079triple(a),combs(hoare_28830079triple(a),bool,bool,combb(bool,fun(bool,bool),hoare_28830079triple(a),fdisj,combc(hoare_28830079triple(a),hoare_28830079triple(a),bool,fequal(hoare_28830079triple(a)),hoare_1841697145triple(a,p1,c,q1))),combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),bool,member(hoare_28830079triple(a)),bot_bot(fun(hoare_28830079triple(a),bool)))))),
inference(definition_unfolding,[],[f465,f320]) ).
tff(f547,plain,
! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool)),X5: a] :
( ~ hoare_992312373derivs(a,g,collect(hoare_28830079triple(a),combs(hoare_28830079triple(a),bool,bool,combb(bool,fun(bool,bool),hoare_28830079triple(a),fdisj,combc(hoare_28830079triple(a),hoare_28830079triple(a),bool,fequal(hoare_28830079triple(a)),hoare_1841697145triple(a,X2,c,X3))),combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),bool,member(hoare_28830079triple(a)),bot_bot(fun(hoare_28830079triple(a),bool))))))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),sK37))
| pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),sK38(X2,X3))) ),
inference(definition_unfolding,[],[f469,f320]) ).
tff(f548,plain,
! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
( ~ hoare_992312373derivs(a,g,collect(hoare_28830079triple(a),combs(hoare_28830079triple(a),bool,bool,combb(bool,fun(bool,bool),hoare_28830079triple(a),fdisj,combc(hoare_28830079triple(a),hoare_28830079triple(a),bool,fequal(hoare_28830079triple(a)),hoare_1841697145triple(a,X2,c,X3))),combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),bool,member(hoare_28830079triple(a)),bot_bot(fun(hoare_28830079triple(a),bool))))))
| ~ q(sK36,sK38(X2,X3)) ),
inference(definition_unfolding,[],[f468,f320]) ).
tff(f629,plain,
~ q(sK36,sK38(p1,q1)),
inference(resolution,[],[f546,f548]) ).
tff(f654,plain,
! [X0: a] :
( pp(aa(state,bool,aa(a,fun(state,bool),q1,X0),sK38(p1,q1)))
| ~ pp(aa(state,bool,aa(a,fun(state,bool),p1,X0),sK37)) ),
inference(resolution,[],[f547,f546]) ).
tff(f667,plain,
! [X0: state] :
( pp(aa(state,bool,aa(a,fun(state,bool),p1,sK35(sK37,X0)),sK37))
| q(sK36,X0) ),
inference(resolution,[],[f466,f470]) ).
tff(f692,plain,
! [X0: state,X1: a] :
( ~ pp(aa(state,bool,aa(a,fun(state,bool),p1,sK35(X0,sK38(p1,q1))),sK37))
| q(X1,sK38(p1,q1))
| ~ p(X1,X0) ),
inference(resolution,[],[f654,f467]) ).
tff(f714,plain,
! [X0: a] :
( q(X0,sK38(p1,q1))
| ~ p(X0,sK37)
| q(sK36,sK38(p1,q1)) ),
inference(resolution,[],[f692,f667]) ).
tff(f715,plain,
! [X0: a] :
( q(X0,sK38(p1,q1))
| ~ p(X0,sK37) ),
inference(forward_subsumption_resolution,[],[f714,f629]) ).
tff(f722,plain,
~ p(sK36,sK37),
inference(resolution,[],[f715,f629]) ).
tff(f723,plain,
$false,
inference(forward_subsumption_resolution,[],[f722,f470]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW508_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n015.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 14:18:47 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 Running first-order model finding
% 0.11/0.21 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
% 0.11/0.27 % (2652085)Will run a generic schedule for satisfiability detection.
% 0.11/0.27 % (2652096)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3877371043:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.27 % (2652091)% WARNING: option uhcvi not known.
% 0.11/0.27 % (2652094)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=642991356:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.27 % (2652095)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3317092352:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.27 % (2652093)dis+10_1_sil=32000:sp=arity:random_seed=3923670460:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.27 % (2652092)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3033875092:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.27 % (2652091)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2978061868:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.27 % (2652090)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2155900099_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.27 % (2652092) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2652085-2652092"...
% 0.11/0.27 % (2652092)...printing done.
% 0.11/0.27 % (2652092)Refutation found. Thanks to Tanya!
% 0.11/0.27 % SZS status Theorem for theBenchmark
% 0.11/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.28 % (2652092)------------------------------
% 0.11/0.28 % (2652092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.28 % (2652092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.28 % (2652092)CaDiCaL version: 2.1.3
% 0.11/0.28 % (2652092)Termination reason: Refutation
% 0.11/0.28 % (2652092)Time elapsed: 0.019 s
% 0.11/0.28 % (2652092)Peak memory usage: 12 MB
% 0.11/0.28 % (2652092)Instructions burned: 34 (million)
% 0.11/0.28 % (2652085)Success in time 0.061 s
% 0.11/0.28 % Vampire exiting
%------------------------------------------------------------------------------