%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM591+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:24:56 PM UTC 2026
% Result : Theorem 0.78s 0.57s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 14 unt; 0 def)
% Number of atoms : 307 ( 55 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 450 ( 209 ~; 200 |; 34 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 84 ( 72 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isCountable0(X1) )
=> ! [X2] :
( ( aFunction0(X2)
& szDzozmdt0(X2) = slbdtsldtrb0(X1,X0)
& aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
=> ( iLess0(X0,xK)
=> ? [X3] :
( aElementOf0(X3,xT)
& ? [X4] :
( aSubsetOf0(X4,X1)
& isCountable0(X4)
& ! [X5] :
( aElementOf0(X5,slbdtsldtrb0(X4,X0))
=> sdtlpdtrp0(X2,X5) = X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3398) ).
fof(f80,axiom,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f89,axiom,
iLess0(xk,xK),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4423) ).
fof(f92,axiom,
( aSubsetOf0(xY,szNzAzT0)
& isCountable0(xY)
& aFunction0(xd)
& szDzozmdt0(xd) = slbdtsldtrb0(xY,xk)
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4482) ).
fof(f93,conjecture,
? [X0,X1] :
( aElementOf0(X0,xT)
& aSubsetOf0(X1,xY)
& isCountable0(X1)
& ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(X1,xk)) )
=> sdtlpdtrp0(xd,X2) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f94,negated_conjecture,
~ ? [X0,X1] :
( aElementOf0(X0,xT)
& aSubsetOf0(X1,xY)
& isCountable0(X1)
& ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(X1,xk)) )
=> sdtlpdtrp0(xd,X2) = X0 ) ),
inference(negated_conjecture,[status(cth)],[f93]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( aElementOf0(X3,xT)
& ? [X4] :
( aSubsetOf0(X4,X1)
& isCountable0(X4)
& ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) ) ) )
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( aElementOf0(X3,xT)
& ? [X4] :
( aSubsetOf0(X4,X1)
& isCountable0(X4)
& ! [X5] :
( sdtlpdtrp0(X2,X5) = X3
| ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) ) ) )
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f201]) ).
fof(f217,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xY)
| ~ isCountable0(X1)
| ? [X2] :
( sdtlpdtrp0(xd,X2) != X0
& aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(X1,xk)) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f218,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xY)
| ~ isCountable0(X1)
| ? [X2] :
( sdtlpdtrp0(xd,X2) != X0
& aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(X1,xk)) ) ),
inference(flattening,[],[f217]) ).
fof(f284,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( aElementOf0(sK23(X0,X1,X2),xT)
& aSubsetOf0(sK24(X0,X1,X2),X1)
& isCountable0(sK24(X0,X1,X2))
& ! [X5] :
( sdtlpdtrp0(X2,X5) = sK23(X0,X1,X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK24(X0,X1,X2),X0)) ) )
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X3,sK23(X0,X1,X2)),skolemize(X4,sK24(X0,X1,X2))],[f202]) ).
fof(f285,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xY)
| ~ isCountable0(X1)
| ( sdtlpdtrp0(xd,sK25(X0,X1)) != X0
& aSet0(sK25(X0,X1))
& aElementOf0(sK25(X0,X1),slbdtsldtrb0(X1,xk)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X2,sK25(X0,X1))],[f218]) ).
fof(f437,plain,
! [X2,X0,X1,X5] :
( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aElementOf0(X5,slbdtsldtrb0(sK24(X0,X1,X2),X0))
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| sdtlpdtrp0(X2,X5) = sK23(X0,X1,X2)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f438,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| isCountable0(sK24(X0,X1,X2))
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f439,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| aSubsetOf0(sK24(X0,X1,X2),X1)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f440,plain,
! [X2,X0,X1] :
( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ iLess0(X0,xK)
| ~ aFunction0(X2)
| aElementOf0(sK23(X0,X1,X2),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f444,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f462,plain,
iLess0(xk,xK),
inference(cnf_transformation,[],[f89]) ).
fof(f466,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(cnf_transformation,[],[f92]) ).
fof(f467,plain,
szDzozmdt0(xd) = slbdtsldtrb0(xY,xk),
inference(cnf_transformation,[],[f92]) ).
fof(f468,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f92]) ).
fof(f469,plain,
isCountable0(xY),
inference(cnf_transformation,[],[f92]) ).
fof(f470,plain,
aSubsetOf0(xY,szNzAzT0),
inference(cnf_transformation,[],[f92]) ).
fof(f471,plain,
! [X0,X1] :
( aElementOf0(sK25(X0,X1),slbdtsldtrb0(X1,xk))
| ~ aSubsetOf0(X1,xY)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f285]) ).
fof(f473,plain,
! [X0,X1] :
( sdtlpdtrp0(xd,sK25(X0,X1)) != X0
| ~ aSubsetOf0(X1,xY)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f285]) ).
fof(f1897,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ iLess0(xk,xK)
| ~ aFunction0(X0)
| isCountable0(sK24(xk,xY,X0))
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f438,f467]) ).
fof(f1902,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| isCountable0(sK24(xk,xY,X0))
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1897,f462]) ).
fof(f1906,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| isCountable0(sK24(xk,xY,X0))
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1902,f470]) ).
fof(f1908,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| isCountable0(sK24(xk,xY,X0))
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1906,f469]) ).
fof(f1910,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| isCountable0(sK24(xk,xY,X0))
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT) ),
inference(forward_subsumption_resolution,[],[f1908,f444]) ).
fof(f1958,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ iLess0(xk,xK)
| ~ aFunction0(X0)
| aSubsetOf0(sK24(xk,xY,X0),xY)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f439,f467]) ).
fof(f1963,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| aSubsetOf0(sK24(xk,xY,X0),xY)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1958,f462]) ).
fof(f1967,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| aSubsetOf0(sK24(xk,xY,X0),xY)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1963,f470]) ).
fof(f1969,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| aSubsetOf0(sK24(xk,xY,X0),xY)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1967,f469]) ).
fof(f1971,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| aSubsetOf0(sK24(xk,xY,X0),xY)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT) ),
inference(forward_subsumption_resolution,[],[f1969,f444]) ).
fof(f2085,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ iLess0(xk,xK)
| ~ aFunction0(X0)
| aElementOf0(sK23(xk,xY,X0),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f440,f467]) ).
fof(f2089,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| aElementOf0(sK23(xk,xY,X0),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2085,f462]) ).
fof(f2092,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| aElementOf0(sK23(xk,xY,X0),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2089,f470]) ).
fof(f2094,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| aElementOf0(sK23(xk,xY,X0),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2092,f469]) ).
fof(f2096,plain,
! [X0] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aFunction0(X0)
| aElementOf0(sK23(xk,xY,X0),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT) ),
inference(forward_subsumption_resolution,[],[f2094,f444]) ).
fof(f2390,plain,
( ~ aFunction0(xd)
| aSubsetOf0(sK24(xk,xY,xd),xY)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(equality_resolution,[],[f1971]) ).
fof(f2391,plain,
( aSubsetOf0(sK24(xk,xY,xd),xY)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(forward_subsumption_resolution,[],[f2390,f468]) ).
fof(f2392,plain,
aSubsetOf0(sK24(xk,xY,xd),xY),
inference(forward_subsumption_resolution,[],[f2391,f466]) ).
fof(f2568,plain,
! [X0,X1] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aElementOf0(X1,slbdtsldtrb0(sK24(xk,xY,X0),xk))
| ~ iLess0(xk,xK)
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X1) = sK23(xk,xY,X0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f437,f467]) ).
fof(f2572,plain,
! [X0,X1] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aElementOf0(X1,slbdtsldtrb0(sK24(xk,xY,X0),xk))
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X1) = sK23(xk,xY,X0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2568,f462]) ).
fof(f2574,plain,
! [X0,X1] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aElementOf0(X1,slbdtsldtrb0(sK24(xk,xY,X0),xk))
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X1) = sK23(xk,xY,X0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2572,f470]) ).
fof(f2575,plain,
! [X0,X1] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aElementOf0(X1,slbdtsldtrb0(sK24(xk,xY,X0),xk))
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X1) = sK23(xk,xY,X0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2574,f469]) ).
fof(f2576,plain,
! [X0,X1] :
( szDzozmdt0(X0) != szDzozmdt0(xd)
| ~ aElementOf0(X1,slbdtsldtrb0(sK24(xk,xY,X0),xk))
| ~ aFunction0(X0)
| sdtlpdtrp0(X0,X1) = sK23(xk,xY,X0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT) ),
inference(forward_subsumption_resolution,[],[f2575,f444]) ).
fof(f3421,plain,
( ~ aFunction0(xd)
| isCountable0(sK24(xk,xY,xd))
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(equality_resolution,[],[f1910]) ).
fof(f3422,plain,
( isCountable0(sK24(xk,xY,xd))
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(forward_subsumption_resolution,[],[f3421,f468]) ).
fof(f3426,plain,
isCountable0(sK24(xk,xY,xd)),
inference(forward_subsumption_resolution,[],[f3422,f466]) ).
fof(f3495,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sK24(xk,xY,xd),xk))
| ~ aFunction0(xd)
| sdtlpdtrp0(xd,X0) = sK23(xk,xY,xd)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(equality_resolution,[],[f2576]) ).
fof(f3496,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sK24(xk,xY,xd),xk))
| sdtlpdtrp0(xd,X0) = sK23(xk,xY,xd)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(forward_subsumption_resolution,[],[f3495,f468]) ).
fof(f3497,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sK24(xk,xY,xd),xk))
| sdtlpdtrp0(xd,X0) = sK23(xk,xY,xd) ),
inference(forward_subsumption_resolution,[],[f3496,f466]) ).
fof(f3641,plain,
! [X0] :
( sK23(xk,xY,xd) = sdtlpdtrp0(xd,sK25(X0,sK24(xk,xY,xd)))
| ~ aSubsetOf0(sK24(xk,xY,xd),xY)
| ~ isCountable0(sK24(xk,xY,xd))
| ~ aElementOf0(X0,xT) ),
inference(resolution,[],[f3497,f471]) ).
fof(f3643,plain,
! [X0] :
( sK23(xk,xY,xd) = sdtlpdtrp0(xd,sK25(X0,sK24(xk,xY,xd)))
| ~ isCountable0(sK24(xk,xY,xd))
| ~ aElementOf0(X0,xT) ),
inference(forward_subsumption_resolution,[],[f3641,f2392]) ).
fof(f3644,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| sK23(xk,xY,xd) = sdtlpdtrp0(xd,sK25(X0,sK24(xk,xY,xd))) ),
inference(forward_subsumption_resolution,[],[f3643,f3426]) ).
fof(f3719,plain,
( ~ aFunction0(xd)
| aElementOf0(sK23(xk,xY,xd),xT)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(equality_resolution,[],[f2096]) ).
fof(f3720,plain,
( aElementOf0(sK23(xk,xY,xd),xT)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(forward_subsumption_resolution,[],[f3719,f468]) ).
fof(f3724,plain,
aElementOf0(sK23(xk,xY,xd),xT),
inference(forward_subsumption_resolution,[],[f3720,f466]) ).
fof(f3789,plain,
sK23(xk,xY,xd) = sdtlpdtrp0(xd,sK25(sK23(xk,xY,xd),sK24(xk,xY,xd))),
inference(resolution,[],[f3724,f3644]) ).
fof(f3790,plain,
( sK23(xk,xY,xd) != sK23(xk,xY,xd)
| ~ aSubsetOf0(sK24(xk,xY,xd),xY)
| ~ isCountable0(sK24(xk,xY,xd))
| ~ aElementOf0(sK23(xk,xY,xd),xT) ),
inference(superposition,[],[f473,f3789]) ).
fof(f3791,plain,
( ~ aSubsetOf0(sK24(xk,xY,xd),xY)
| ~ isCountable0(sK24(xk,xY,xd))
| ~ aElementOf0(sK23(xk,xY,xd),xT) ),
inference(trivial_inequality_removal,[],[f3790]) ).
fof(f3792,plain,
( ~ isCountable0(sK24(xk,xY,xd))
| ~ aElementOf0(sK23(xk,xY,xd),xT) ),
inference(forward_subsumption_resolution,[],[f3791,f2392]) ).
fof(f3793,plain,
~ aElementOf0(sK23(xk,xY,xd),xT),
inference(forward_subsumption_resolution,[],[f3792,f3426]) ).
fof(f3794,plain,
$false,
inference(forward_subsumption_resolution,[],[f3793,f3724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM591+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:39:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.78/0.57 % (1291455)Will run a generic schedule for satisfiability detection.
% 0.78/0.57 % (1291464)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=849021155:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.78/0.57 % (1291461)% WARNING: option uhcvi not known.
% 0.78/0.57 % (1291461)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3785386967:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.78/0.57 % (1291460)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1655010886_2999 on theBenchmark for (2999ds/0Mi)
% 0.78/0.57 % (1291462)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2286821036:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.78/0.57 % (1291463)dis+10_1_sil=32000:sp=arity:random_seed=2348745974:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.78/0.57 % (1291465)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1331229091:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.78/0.57 % (1291466)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3256956273:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.78/0.57 % TRYING [1]
% 0.78/0.57 % TRYING [2]
% 0.78/0.57 % TRYING [3]
% 0.78/0.57 % (1291464)Instruction limit reached!
% 0.78/0.57 % (1291464)------------------------------
% 0.78/0.57 % (1291464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.57 % (1291464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.57 % (1291464)CaDiCaL version: 2.1.3
% 0.78/0.57 % (1291464)Termination reason: Instruction limit
% 0.78/0.57 % (1291464)Termination phase: Saturation
% 0.78/0.57 % (1291464)Time elapsed: 0.041 s
% 0.78/0.57 % (1291464)Peak memory usage: 13 MB
% 0.78/0.57 % (1291464)Instructions burned: 116 (million)
% 0.78/0.57 % (1291474)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4016489043:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.78/0.57 % TRYING [4]
% 0.78/0.57 % TRYING [1]
% 0.78/0.57 % TRYING [2]
% 0.78/0.57 % TRYING [3]
% 0.78/0.57 % (1291463)Instruction limit reached!
% 0.78/0.57 % (1291463)------------------------------
% 0.78/0.57 % (1291463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.57 % (1291463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.57 % (1291463)CaDiCaL version: 2.1.3
% 0.78/0.57 % (1291463)Termination reason: Instruction limit
% 0.78/0.57 % (1291463)Termination phase: Saturation
% 0.78/0.57 % (1291463)Time elapsed: 0.069 s
% 0.78/0.57 % (1291463)Peak memory usage: 13 MB
% 0.78/0.57 % (1291463)Instructions burned: 104 (million)
% 0.78/0.57 % TRYING [4]
% 0.78/0.57 % (1291465)Instruction limit reached!
% 0.78/0.57 % (1291465)------------------------------
% 0.78/0.57 % (1291465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.57 % (1291465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.57 % (1291465)CaDiCaL version: 2.1.3
% 0.78/0.57 % (1291465)Termination reason: Instruction limit
% 0.78/0.57 % (1291465)Termination phase: Saturation
% 0.78/0.57 % (1291465)Time elapsed: 0.077 s
% 0.78/0.57 % (1291465)Peak memory usage: 13 MB
% 0.78/0.57 % (1291465)Instructions burned: 131 (million)
% 0.78/0.57 % (1291476)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3152063238:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.78/0.57 % (1291462) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1291455-1291462"...
% 0.78/0.57 % (1291462)...printing done.
% 0.78/0.57 % (1291462)Refutation found. Thanks to Tanya!
% 0.78/0.57 % SZS status Theorem for theBenchmark
% 0.78/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.78/0.57 % (1291462)------------------------------
% 0.78/0.57 % (1291462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.57 % (1291462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.57 % (1291462)CaDiCaL version: 2.1.3
% 0.78/0.57 % (1291462)Termination reason: Refutation
% 0.78/0.57 % (1291462)Time elapsed: 0.092 s
% 0.78/0.57 % (1291462)Peak memory usage: 15 MB
% 0.78/0.57 % (1291462)Instructions burned: 147 (million)
% 0.78/0.57 % (1291455)Success in time 0.139 s
% 0.78/0.57 % Vampire exiting
%------------------------------------------------------------------------------