TSTP Solution File: NUM591+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM591+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:00:58 EDT 2022
% Result : Theorem 0.20s 0.61s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 79 ( 15 unt; 0 def)
% Number of atoms : 383 ( 29 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 570 ( 266 ~; 243 |; 48 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 105 ( 88 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f872,plain,
$false,
inference(avatar_sat_refutation,[],[f850,f865,f871]) ).
fof(f871,plain,
( ~ spl27_12
| ~ spl27_13 ),
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f870,plain,
( $false
| ~ spl27_12
| ~ spl27_13 ),
inference(subsumption_resolution,[],[f832,f869]) ).
fof(f869,plain,
( ~ aSubsetOf0(sK17(xk,xY,xd),xY)
| ~ spl27_12
| ~ spl27_13 ),
inference(subsumption_resolution,[],[f868,f838]) ).
fof(f838,plain,
isCountable0(sK17(xk,xY,xd)),
inference(subsumption_resolution,[],[f837,f435]) ).
fof(f435,plain,
iLess0(xk,xK),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
iLess0(xk,xK),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4423) ).
fof(f837,plain,
( ~ iLess0(xk,xK)
| isCountable0(sK17(xk,xY,xd)) ),
inference(subsumption_resolution,[],[f836,f447]) ).
fof(f447,plain,
isCountable0(xY),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& aFunction0(xd)
& szDzozmdt0(xd) = slbdtsldtrb0(xY,xk)
& isCountable0(xY)
& aSubsetOf0(xY,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4482) ).
fof(f836,plain,
( ~ isCountable0(xY)
| isCountable0(sK17(xk,xY,xd))
| ~ iLess0(xk,xK) ),
inference(subsumption_resolution,[],[f835,f449]) ).
fof(f449,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f92]) ).
fof(f835,plain,
( isCountable0(sK17(xk,xY,xd))
| ~ aFunction0(xd)
| ~ isCountable0(xY)
| ~ iLess0(xk,xK) ),
inference(subsumption_resolution,[],[f834,f450]) ).
fof(f450,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(cnf_transformation,[],[f92]) ).
fof(f834,plain,
( ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ aFunction0(xd)
| ~ iLess0(xk,xK)
| isCountable0(sK17(xk,xY,xd))
| ~ isCountable0(xY) ),
inference(subsumption_resolution,[],[f833,f402]) ).
fof(f402,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f833,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ iLess0(xk,xK)
| ~ isCountable0(xY)
| isCountable0(sK17(xk,xY,xd))
| ~ aFunction0(xd)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(subsumption_resolution,[],[f819,f446]) ).
fof(f446,plain,
aSubsetOf0(xY,szNzAzT0),
inference(cnf_transformation,[],[f92]) ).
fof(f819,plain,
( ~ aSubsetOf0(xY,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ iLess0(xk,xK)
| ~ aFunction0(xd)
| ~ isCountable0(xY)
| isCountable0(sK17(xk,xY,xd)) ),
inference(resolution,[],[f697,f596]) ).
fof(f596,plain,
! [X2,X0,X1] :
( ~ sQ26_eqProxy(slbdtsldtrb0(X1,X0),szDzozmdt0(X2))
| ~ aSubsetOf0(X1,szNzAzT0)
| isCountable0(sK17(X0,X1,X2))
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(X2) ),
inference(equality_proxy_replacement,[],[f429,f556]) ).
fof(f556,plain,
! [X0,X1] :
( sQ26_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ26_eqProxy])]) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ isCountable0(X1)
| ~ iLess0(X0,xK)
| isCountable0(sK17(X0,X1,X2))
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0] :
( ! [X1] :
( ~ isCountable0(X1)
| ! [X2] :
( ~ iLess0(X0,xK)
| ( aSubsetOf0(sK17(X0,X1,X2),X1)
& isCountable0(sK17(X0,X1,X2))
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sK17(X0,X1,X2),X0))
| sdtlpdtrp0(X2,X5) = sK16(X0,X1,X2) )
& aElementOf0(sK16(X0,X1,X2),xT) )
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f152,f291,f290]) ).
fof(f290,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( aSubsetOf0(X4,X1)
& isCountable0(X4)
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(X4,X0))
| sdtlpdtrp0(X2,X5) = X3 ) )
& aElementOf0(X3,xT) )
=> ( ? [X4] :
( aSubsetOf0(X4,X1)
& isCountable0(X4)
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(X4,X0))
| sdtlpdtrp0(X2,X5) = sK16(X0,X1,X2) ) )
& aElementOf0(sK16(X0,X1,X2),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0,X1,X2] :
( ? [X4] :
( aSubsetOf0(X4,X1)
& isCountable0(X4)
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(X4,X0))
| sdtlpdtrp0(X2,X5) = sK16(X0,X1,X2) ) )
=> ( aSubsetOf0(sK17(X0,X1,X2),X1)
& isCountable0(sK17(X0,X1,X2))
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sK17(X0,X1,X2),X0))
| sdtlpdtrp0(X2,X5) = sK16(X0,X1,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ~ isCountable0(X1)
| ! [X2] :
( ~ iLess0(X0,xK)
| ? [X3] :
( ? [X4] :
( aSubsetOf0(X4,X1)
& isCountable0(X4)
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(X4,X0))
| sdtlpdtrp0(X2,X5) = X3 ) )
& aElementOf0(X3,xT) )
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ? [X4] :
( aSubsetOf0(X4,X1)
& isCountable0(X4)
& ! [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(X4,X0))
| sdtlpdtrp0(X2,X5) = X3 ) )
& aElementOf0(X3,xT) )
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szNzAzT0) )
=> ! [X2] :
( ( aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
& slbdtsldtrb0(X1,X0) = szDzozmdt0(X2)
& aFunction0(X2) )
=> ( 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(f697,plain,
sQ26_eqProxy(slbdtsldtrb0(xY,xk),szDzozmdt0(xd)),
inference(resolution,[],[f635,f606]) ).
fof(f606,plain,
sQ26_eqProxy(szDzozmdt0(xd),slbdtsldtrb0(xY,xk)),
inference(equality_proxy_replacement,[],[f448,f556]) ).
fof(f448,plain,
szDzozmdt0(xd) = slbdtsldtrb0(xY,xk),
inference(cnf_transformation,[],[f92]) ).
fof(f635,plain,
! [X0,X1] :
( ~ sQ26_eqProxy(X0,X1)
| sQ26_eqProxy(X1,X0) ),
inference(equality_proxy_axiom,[],[f556]) ).
fof(f868,plain,
( ~ aSubsetOf0(sK17(xk,xY,xd),xY)
| ~ isCountable0(sK17(xk,xY,xd))
| ~ spl27_12
| ~ spl27_13 ),
inference(subsumption_resolution,[],[f867,f845]) ).
fof(f845,plain,
( aElementOf0(sK16(xk,xY,xd),xT)
| ~ spl27_12 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f844,plain,
( spl27_12
<=> aElementOf0(sK16(xk,xY,xd),xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_12])]) ).
fof(f867,plain,
( ~ aSubsetOf0(sK17(xk,xY,xd),xY)
| ~ aElementOf0(sK16(xk,xY,xd),xT)
| ~ isCountable0(sK17(xk,xY,xd))
| ~ spl27_13 ),
inference(duplicate_literal_removal,[],[f866]) ).
fof(f866,plain,
( ~ isCountable0(sK17(xk,xY,xd))
| ~ isCountable0(sK17(xk,xY,xd))
| ~ aSubsetOf0(sK17(xk,xY,xd),xY)
| ~ aSubsetOf0(sK17(xk,xY,xd),xY)
| ~ aElementOf0(sK16(xk,xY,xd),xT)
| ~ spl27_13 ),
inference(resolution,[],[f849,f395]) ).
fof(f395,plain,
! [X0,X1] :
( aElementOf0(sK13(X0,X1),slbdtsldtrb0(X1,xk))
| ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xY) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xY)
| ( aSet0(sK13(X0,X1))
& sdtlpdtrp0(xd,sK13(X0,X1)) != X0
& aElementOf0(sK13(X0,X1),slbdtsldtrb0(X1,xk)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f132,f274]) ).
fof(f274,plain,
! [X0,X1] :
( ? [X2] :
( aSet0(X2)
& sdtlpdtrp0(xd,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xk)) )
=> ( aSet0(sK13(X0,X1))
& sdtlpdtrp0(xd,sK13(X0,X1)) != X0
& aElementOf0(sK13(X0,X1),slbdtsldtrb0(X1,xk)) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xY)
| ? [X2] :
( aSet0(X2)
& sdtlpdtrp0(xd,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xk)) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X1,X0] :
( ~ isCountable0(X1)
| ? [X2] :
( sdtlpdtrp0(xd,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
| ~ aSubsetOf0(X1,xY)
| ~ aElementOf0(X0,xT) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,negated_conjecture,
~ ? [X1,X0] :
( isCountable0(X1)
& ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
=> sdtlpdtrp0(xd,X2) = X0 )
& aSubsetOf0(X1,xY)
& aElementOf0(X0,xT) ),
inference(negated_conjecture,[],[f93]) ).
fof(f93,conjecture,
? [X1,X0] :
( isCountable0(X1)
& ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
=> sdtlpdtrp0(xd,X2) = X0 )
& aSubsetOf0(X1,xY)
& aElementOf0(X0,xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f849,plain,
( ! [X0] :
( ~ aElementOf0(sK13(sK16(xk,xY,xd),X0),slbdtsldtrb0(sK17(xk,xY,xd),xk))
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xY) )
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f848,plain,
( spl27_13
<=> ! [X0] :
( ~ aElementOf0(sK13(sK16(xk,xY,xd),X0),slbdtsldtrb0(sK17(xk,xY,xd),xk))
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xY) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
fof(f832,plain,
aSubsetOf0(sK17(xk,xY,xd),xY),
inference(subsumption_resolution,[],[f831,f435]) ).
fof(f831,plain,
( aSubsetOf0(sK17(xk,xY,xd),xY)
| ~ iLess0(xk,xK) ),
inference(subsumption_resolution,[],[f830,f446]) ).
fof(f830,plain,
( ~ aSubsetOf0(xY,szNzAzT0)
| aSubsetOf0(sK17(xk,xY,xd),xY)
| ~ iLess0(xk,xK) ),
inference(subsumption_resolution,[],[f829,f449]) ).
fof(f829,plain,
( aSubsetOf0(sK17(xk,xY,xd),xY)
| ~ aFunction0(xd)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ iLess0(xk,xK) ),
inference(subsumption_resolution,[],[f828,f402]) ).
fof(f828,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ aFunction0(xd)
| ~ iLess0(xk,xK)
| aSubsetOf0(sK17(xk,xY,xd),xY)
| ~ aSubsetOf0(xY,szNzAzT0) ),
inference(subsumption_resolution,[],[f827,f450]) ).
fof(f827,plain,
( ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ aFunction0(xd)
| ~ iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| aSubsetOf0(sK17(xk,xY,xd),xY)
| ~ aSubsetOf0(xY,szNzAzT0) ),
inference(subsumption_resolution,[],[f818,f447]) ).
fof(f818,plain,
( ~ isCountable0(xY)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| aSubsetOf0(sK17(xk,xY,xd),xY)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ aFunction0(xd)
| ~ iLess0(xk,xK) ),
inference(resolution,[],[f697,f595]) ).
fof(f595,plain,
! [X2,X0,X1] :
( ~ sQ26_eqProxy(slbdtsldtrb0(X1,X0),szDzozmdt0(X2))
| ~ isCountable0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(X2)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| aSubsetOf0(sK17(X0,X1,X2),X1)
| ~ iLess0(X0,xK) ),
inference(equality_proxy_replacement,[],[f430,f556]) ).
fof(f430,plain,
! [X2,X0,X1] :
( ~ isCountable0(X1)
| ~ iLess0(X0,xK)
| aSubsetOf0(sK17(X0,X1,X2),X1)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f865,plain,
spl27_12,
inference(avatar_split_clause,[],[f826,f844]) ).
fof(f826,plain,
aElementOf0(sK16(xk,xY,xd),xT),
inference(subsumption_resolution,[],[f825,f450]) ).
fof(f825,plain,
( aElementOf0(sK16(xk,xY,xd),xT)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(subsumption_resolution,[],[f824,f446]) ).
fof(f824,plain,
( ~ aSubsetOf0(xY,szNzAzT0)
| aElementOf0(sK16(xk,xY,xd),xT)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(subsumption_resolution,[],[f823,f447]) ).
fof(f823,plain,
( ~ isCountable0(xY)
| aElementOf0(sK16(xk,xY,xd),xT)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(subsumption_resolution,[],[f822,f402]) ).
fof(f822,plain,
( ~ aElementOf0(xk,szNzAzT0)
| aElementOf0(sK16(xk,xY,xd),xT)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ isCountable0(xY)
| ~ aSubsetOf0(xY,szNzAzT0) ),
inference(subsumption_resolution,[],[f821,f449]) ).
fof(f821,plain,
( ~ aFunction0(xd)
| ~ isCountable0(xY)
| aElementOf0(sK16(xk,xY,xd),xT)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(subsumption_resolution,[],[f817,f435]) ).
fof(f817,plain,
( ~ iLess0(xk,xK)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aElementOf0(xk,szNzAzT0)
| aElementOf0(sK16(xk,xY,xd),xT)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ aFunction0(xd) ),
inference(resolution,[],[f697,f598]) ).
fof(f598,plain,
! [X2,X0,X1] :
( ~ sQ26_eqProxy(slbdtsldtrb0(X1,X0),szDzozmdt0(X2))
| ~ aFunction0(X2)
| ~ aElementOf0(X0,szNzAzT0)
| ~ iLess0(X0,xK)
| aElementOf0(sK16(X0,X1,X2),xT)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ isCountable0(X1) ),
inference(equality_proxy_replacement,[],[f427,f556]) ).
fof(f427,plain,
! [X2,X0,X1] :
( ~ isCountable0(X1)
| ~ iLess0(X0,xK)
| aElementOf0(sK16(X0,X1,X2),xT)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f850,plain,
( ~ spl27_12
| spl27_13 ),
inference(avatar_split_clause,[],[f842,f848,f844]) ).
fof(f842,plain,
! [X0] :
( ~ aElementOf0(sK13(sK16(xk,xY,xd),X0),slbdtsldtrb0(sK17(xk,xY,xd),xk))
| ~ aSubsetOf0(X0,xY)
| ~ isCountable0(X0)
| ~ aElementOf0(sK16(xk,xY,xd),xT) ),
inference(subsumption_resolution,[],[f841,f446]) ).
fof(f841,plain,
! [X0] :
( ~ aElementOf0(sK13(sK16(xk,xY,xd),X0),slbdtsldtrb0(sK17(xk,xY,xd),xk))
| ~ aElementOf0(sK16(xk,xY,xd),xT)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xY) ),
inference(subsumption_resolution,[],[f840,f435]) ).
fof(f840,plain,
! [X0] :
( ~ iLess0(xk,xK)
| ~ isCountable0(X0)
| ~ aElementOf0(sK13(sK16(xk,xY,xd),X0),slbdtsldtrb0(sK17(xk,xY,xd),xk))
| ~ aElementOf0(sK16(xk,xY,xd),xT)
| ~ aSubsetOf0(X0,xY)
| ~ aSubsetOf0(xY,szNzAzT0) ),
inference(subsumption_resolution,[],[f839,f402]) ).
fof(f839,plain,
! [X0] :
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ aElementOf0(sK16(xk,xY,xd),xT)
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xY)
| ~ aElementOf0(sK13(sK16(xk,xY,xd),X0),slbdtsldtrb0(sK17(xk,xY,xd),xk))
| ~ iLess0(xk,xK) ),
inference(subsumption_resolution,[],[f816,f447]) ).
fof(f816,plain,
! [X0] :
( ~ isCountable0(xY)
| ~ aElementOf0(sK13(sK16(xk,xY,xd),X0),slbdtsldtrb0(sK17(xk,xY,xd),xk))
| ~ aSubsetOf0(xY,szNzAzT0)
| ~ aSubsetOf0(X0,xY)
| ~ iLess0(xk,xK)
| ~ isCountable0(X0)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(sK16(xk,xY,xd),xT) ),
inference(resolution,[],[f697,f729]) ).
fof(f729,plain,
! [X2,X0,X1] :
( ~ sQ26_eqProxy(slbdtsldtrb0(X0,X1),szDzozmdt0(xd))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(X0)
| ~ isCountable0(X2)
| ~ aElementOf0(sK13(sK16(X1,X0,xd),X2),slbdtsldtrb0(sK17(X1,X0,xd),X1))
| ~ aSubsetOf0(X2,xY)
| ~ aElementOf0(sK16(X1,X0,xd),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ iLess0(X1,xK) ),
inference(subsumption_resolution,[],[f728,f450]) ).
fof(f728,plain,
! [X2,X0,X1] :
( ~ iLess0(X1,xK)
| ~ aElementOf0(sK13(sK16(X1,X0,xd),X2),slbdtsldtrb0(sK17(X1,X0,xd),X1))
| ~ isCountable0(X0)
| ~ sQ26_eqProxy(slbdtsldtrb0(X0,X1),szDzozmdt0(xd))
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xY)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(sK16(X1,X0,xd),xT)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(subsumption_resolution,[],[f726,f449]) ).
fof(f726,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK13(sK16(X1,X0,xd),X2),slbdtsldtrb0(sK17(X1,X0,xd),X1))
| ~ aElementOf0(sK16(X1,X0,xd),xT)
| ~ aSubsetOf0(X2,xY)
| ~ aFunction0(xd)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isCountable0(X0)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ iLess0(X1,xK)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sQ26_eqProxy(slbdtsldtrb0(X0,X1),szDzozmdt0(xd)) ),
inference(resolution,[],[f597,f577]) ).
fof(f577,plain,
! [X0,X1] :
( ~ sQ26_eqProxy(sdtlpdtrp0(xd,sK13(X0,X1)),X0)
| ~ aSubsetOf0(X1,xY)
| ~ aElementOf0(X0,xT)
| ~ isCountable0(X1) ),
inference(equality_proxy_replacement,[],[f396,f556]) ).
fof(f396,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xY)
| sdtlpdtrp0(xd,sK13(X0,X1)) != X0 ),
inference(cnf_transformation,[],[f275]) ).
fof(f597,plain,
! [X2,X0,X1,X5] :
( sQ26_eqProxy(sdtlpdtrp0(X2,X5),sK16(X0,X1,X2))
| ~ sQ26_eqProxy(slbdtsldtrb0(X1,X0),szDzozmdt0(X2))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aFunction0(X2)
| ~ iLess0(X0,xK)
| ~ aElementOf0(X5,slbdtsldtrb0(sK17(X0,X1,X2),X0)) ),
inference(equality_proxy_replacement,[],[f428,f556,f556]) ).
fof(f428,plain,
! [X2,X0,X1,X5] :
( ~ isCountable0(X1)
| ~ iLess0(X0,xK)
| ~ aElementOf0(X5,slbdtsldtrb0(sK17(X0,X1,X2),X0))
| sdtlpdtrp0(X2,X5) = sK16(X0,X1,X2)
| ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
| ~ aFunction0(X2)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f292]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM591+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 07:09:47 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (24769)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.56 % (24768)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (24767)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.57 % (24775)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.57 % (24785)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (24783)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.57 % (24777)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (24784)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.57 % (24776)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58 % (24776)Instruction limit reached!
% 0.20/0.58 % (24776)------------------------------
% 0.20/0.58 % (24776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (24776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (24776)Termination reason: Unknown
% 0.20/0.59 % (24776)Termination phase: Property scanning
% 0.20/0.59
% 0.20/0.59 % (24776)Memory used [KB]: 1663
% 0.20/0.59 % (24776)Time elapsed: 0.006 s
% 0.20/0.59 % (24776)Instructions burned: 7 (million)
% 0.20/0.59 % (24776)------------------------------
% 0.20/0.59 % (24776)------------------------------
% 0.20/0.59 % (24775)Instruction limit reached!
% 0.20/0.59 % (24775)------------------------------
% 0.20/0.59 % (24775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (24775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (24775)Termination reason: Unknown
% 0.20/0.59 % (24775)Termination phase: Naming
% 0.20/0.59
% 0.20/0.59 % (24775)Memory used [KB]: 1535
% 0.20/0.59 % (24775)Time elapsed: 0.004 s
% 0.20/0.59 % (24775)Instructions burned: 3 (million)
% 0.20/0.59 % (24775)------------------------------
% 0.20/0.59 % (24775)------------------------------
% 0.20/0.61 % (24764)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.61 % (24785)First to succeed.
% 0.20/0.61 % (24785)Refutation found. Thanks to Tanya!
% 0.20/0.61 % SZS status Theorem for theBenchmark
% 0.20/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61 % (24785)------------------------------
% 0.20/0.61 % (24785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (24785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (24785)Termination reason: Refutation
% 0.20/0.61
% 0.20/0.61 % (24785)Memory used [KB]: 6396
% 0.20/0.61 % (24785)Time elapsed: 0.159 s
% 0.20/0.61 % (24785)Instructions burned: 17 (million)
% 0.20/0.61 % (24785)------------------------------
% 0.20/0.61 % (24785)------------------------------
% 0.20/0.61 % (24760)Success in time 0.25 s
%------------------------------------------------------------------------------