TSTP Solution File: NUM552+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM552+3 : 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 : n009.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 18:00:32 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 480 ( 82 equ)
% Maximal formula atoms : 43 ( 10 avg)
% Number of connectives : 614 ( 181 ~; 159 |; 223 &)
% ( 10 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 144 ( 118 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f350,plain,
$false,
inference(subsumption_resolution,[],[f348,f304]) ).
fof(f304,plain,
~ aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
inference(unit_resulting_resolution,[],[f208,f193,f264,f259]) ).
fof(f259,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X1,X0))
| aSubsetOf0(X4,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f230]) ).
fof(f230,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X1,X0) != X2
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X1,X0) = X2
| ( ( ~ aElementOf0(sK9(X0,X1,X2),X2)
| sbrdtbr0(sK9(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK9(X0,X1,X2),X1) )
& ( aElementOf0(sK9(X0,X1,X2),X2)
| ( sbrdtbr0(sK9(X0,X1,X2)) = X0
& aSubsetOf0(sK9(X0,X1,X2),X1) ) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) )
& ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) ) )
& aSet0(X2) )
| slbdtsldtrb0(X1,X0) != X2 ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f154,f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) ) ) )
=> ( ( ~ aElementOf0(sK9(X0,X1,X2),X2)
| sbrdtbr0(sK9(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK9(X0,X1,X2),X1) )
& ( aElementOf0(sK9(X0,X1,X2),X2)
| ( sbrdtbr0(sK9(X0,X1,X2)) = X0
& aSubsetOf0(sK9(X0,X1,X2),X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X1,X0) = X2
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) ) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) )
& ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) ) )
& aSet0(X2) )
| slbdtsldtrb0(X1,X0) != X2 ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X1,X0) = X2
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) ) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1) ) )
& aSet0(X2) )
| slbdtsldtrb0(X1,X0) != X2 ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X1,X0) = X2
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) ) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1) ) )
& aSet0(X2) )
| slbdtsldtrb0(X1,X0) != X2 ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X1,X0) = X2
<=> ( ! [X3] :
( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
<=> aElementOf0(X3,X2) )
& aSet0(X2) ) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X1,X0) = X2
<=> ( ! [X3] :
( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
<=> aElementOf0(X3,X2) )
& aSet0(X2) ) )
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( aSet0(X1)
& aElementOf0(X0,szNzAzT0) )
=> ! [X2] :
( slbdtsldtrb0(X1,X0) = X2
<=> ( ! [X3] :
( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
<=> aElementOf0(X3,X2) )
& aSet0(X2) ) ) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X1,X0] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
<=> aElementOf0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f264,plain,
~ aSubsetOf0(xQ,xT),
inference(unit_resulting_resolution,[],[f242,f243,f193,f222]) ).
fof(f222,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK7(X0,X1),X0)
& aElementOf0(sK7(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f144,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK7(X0,X1),X0)
& aElementOf0(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f243,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ~ aElementOf0(xx,xT)
& aElementOf0(xx,xQ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,negated_conjecture,
~ ( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
inference(negated_conjecture,[],[f68]) ).
fof(f68,conjecture,
( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f242,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f91]) ).
fof(f193,plain,
aSet0(xT),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( aSet0(xS)
& aSet0(xT)
& sz00 != xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f208,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
fof(f348,plain,
aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
inference(unit_resulting_resolution,[],[f202,f182,f183,f222]) ).
fof(f183,plain,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ( aSet0(X0)
& sbrdtbr0(X0) = xk
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xT) )
& aSubsetOf0(X0,xT) ) )
& ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
| sbrdtbr0(X0) != xk
| ( ( ~ aSet0(X0)
| ( ~ aElementOf0(sK1(X0),xT)
& aElementOf0(sK1(X0),X0) ) )
& ~ aSubsetOf0(X0,xT) ) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X3] :
( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
& ! [X4] :
( ( ( ~ aSubsetOf0(X4,xS)
& ( ( ~ aElementOf0(sK2(X4),xS)
& aElementOf0(sK2(X4),X4) )
| ~ aSet0(X4) ) )
| aElementOf0(X4,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X4) )
& ( ( aSubsetOf0(X4,xS)
& aSet0(X4)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& xk = sbrdtbr0(X4) )
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) ) )
& slcrc0 != slbdtsldtrb0(xS,xk)
& aSet0(slbdtsldtrb0(xS,xk))
& aElementOf0(sK3,slbdtsldtrb0(xS,xk))
& ! [X8] :
( ( ~ aElementOf0(X8,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X8,xS)
& aSet0(X8)
& ! [X9] :
( aElementOf0(X9,xS)
| ~ aElementOf0(X9,X8) )
& xk = sbrdtbr0(X8) ) )
& ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| ( ~ aSubsetOf0(X8,xS)
& ( ( aElementOf0(sK4(X8),X8)
& ~ aElementOf0(sK4(X8),xS) )
| ~ aSet0(X8) ) )
| xk != sbrdtbr0(X8) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f124,f128,f127,f126,f125]) ).
fof(f125,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(X2,xT)
& aElementOf0(X2,X0) )
=> ( ~ aElementOf0(sK1(X0),xT)
& aElementOf0(sK1(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X4] :
( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK2(X4),xS)
& aElementOf0(sK2(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X7] : aElementOf0(X7,slbdtsldtrb0(xS,xk))
=> aElementOf0(sK3,slbdtsldtrb0(xS,xk)) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X8] :
( ? [X10] :
( aElementOf0(X10,X8)
& ~ aElementOf0(X10,xS) )
=> ( aElementOf0(sK4(X8),X8)
& ~ aElementOf0(sK4(X8),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ( aSet0(X0)
& sbrdtbr0(X0) = xk
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xT) )
& aSubsetOf0(X0,xT) ) )
& ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
| sbrdtbr0(X0) != xk
| ( ( ~ aSet0(X0)
| ? [X2] :
( ~ aElementOf0(X2,xT)
& aElementOf0(X2,X0) ) )
& ~ aSubsetOf0(X0,xT) ) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X3] :
( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
& ! [X4] :
( ( ( ~ aSubsetOf0(X4,xS)
& ( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) )
| aElementOf0(X4,slbdtsldtrb0(xS,xk))
| xk != sbrdtbr0(X4) )
& ( ( aSubsetOf0(X4,xS)
& aSet0(X4)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& xk = sbrdtbr0(X4) )
| ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) ) )
& slcrc0 != slbdtsldtrb0(xS,xk)
& aSet0(slbdtsldtrb0(xS,xk))
& ? [X7] : aElementOf0(X7,slbdtsldtrb0(xS,xk))
& ! [X8] :
( ( ~ aElementOf0(X8,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X8,xS)
& aSet0(X8)
& ! [X9] :
( aElementOf0(X9,xS)
| ~ aElementOf0(X9,X8) )
& xk = sbrdtbr0(X8) ) )
& ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| ( ~ aSubsetOf0(X8,xS)
& ( ? [X10] :
( aElementOf0(X10,X8)
& ~ aElementOf0(X10,xS) )
| ~ aSet0(X8) ) )
| xk != sbrdtbr0(X8) ) ) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
( ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ( aSet0(X3)
& sbrdtbr0(X3) = xk
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xT) )
& aSubsetOf0(X3,xT) ) )
& ( aElementOf0(X3,slbdtsldtrb0(xT,xk))
| sbrdtbr0(X3) != xk
| ( ( ~ aSet0(X3)
| ? [X5] :
( ~ aElementOf0(X5,xT)
& aElementOf0(X5,X3) ) )
& ~ aSubsetOf0(X3,xT) ) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X6] :
( ~ aElementOf0(X6,slbdtsldtrb0(xS,xk))
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ! [X0] :
( ( ( ~ aSubsetOf0(X0,xS)
& ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) )
| aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk )
& ( ( aSubsetOf0(X0,xS)
& aSet0(X0)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& sbrdtbr0(X0) = xk )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& slcrc0 != slbdtsldtrb0(xS,xk)
& aSet0(slbdtsldtrb0(xS,xk))
& ? [X10] : aElementOf0(X10,slbdtsldtrb0(xS,xk))
& ! [X7] :
( ( ~ aElementOf0(X7,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X7,xS)
& aSet0(X7)
& ! [X8] :
( aElementOf0(X8,xS)
| ~ aElementOf0(X8,X7) )
& xk = sbrdtbr0(X7) ) )
& ( aElementOf0(X7,slbdtsldtrb0(xS,xk))
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X9] :
( aElementOf0(X9,X7)
& ~ aElementOf0(X9,xS) )
| ~ aSet0(X7) ) )
| xk != sbrdtbr0(X7) ) ) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
( ! [X0] :
( ( ( aSubsetOf0(X0,xS)
& aSet0(X0)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& sbrdtbr0(X0) = xk )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) ) )
& slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X10] : aElementOf0(X10,slbdtsldtrb0(xS,xk))
& ! [X7] :
( ( aElementOf0(X7,slbdtsldtrb0(xS,xk))
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X9] :
( aElementOf0(X9,X7)
& ~ aElementOf0(X9,xS) )
| ~ aSet0(X7) ) )
| xk != sbrdtbr0(X7) )
& ( ~ aElementOf0(X7,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X7,xS)
& aSet0(X7)
& ! [X8] :
( aElementOf0(X8,xS)
| ~ aElementOf0(X8,X7) )
& xk = sbrdtbr0(X7) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X3] :
( ( aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ( ( ~ aSet0(X3)
| ? [X5] :
( ~ aElementOf0(X5,xT)
& aElementOf0(X5,X3) ) )
& ~ aSubsetOf0(X3,xT) )
| sbrdtbr0(X3) != xk )
& ( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ( aSet0(X3)
& sbrdtbr0(X3) = xk
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xT) )
& aSubsetOf0(X3,xT) ) ) )
& aSet0(slbdtsldtrb0(xS,xk))
& ! [X6] :
( ~ aElementOf0(X6,slbdtsldtrb0(xS,xk))
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xS) )
& sbrdtbr0(X0) = xk
& aSet0(X0) ) )
& ( ( sbrdtbr0(X0) = xk
& ( ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) )
| aSubsetOf0(X0,xS) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& ~ ( ! [X7] :
( ( ( ( ( ! [X9] :
( aElementOf0(X9,X7)
=> aElementOf0(X9,xS) )
& aSet0(X7) )
| aSubsetOf0(X7,xS) )
& xk = sbrdtbr0(X7) )
=> aElementOf0(X7,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X7,slbdtsldtrb0(xS,xk))
=> ( aSet0(X7)
& xk = sbrdtbr0(X7)
& aSubsetOf0(X7,xS)
& ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,xS) ) ) ) )
=> ( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ ? [X10] : aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X3] :
( ( ( ( ( ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xT) )
& aSet0(X3) )
| aSubsetOf0(X3,xT) )
& sbrdtbr0(X3) = xk )
=> aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X3,slbdtsldtrb0(xT,xk))
=> ( aSet0(X3)
& sbrdtbr0(X3) = xk
& aSubsetOf0(X3,xT)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xT) ) ) ) )
& aSet0(slbdtsldtrb0(xS,xk))
& ! [X6] :
( aElementOf0(X6,slbdtsldtrb0(xS,xk))
=> aElementOf0(X6,slbdtsldtrb0(xT,xk)) ) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) )
| aSubsetOf0(X0,xS) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( aSet0(X0)
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& sbrdtbr0(X0) = xk ) ) )
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
=> ( aSet0(X0)
& sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) ) ) )
& ( ( sbrdtbr0(X0) = xk
& ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) ) )
| aSubsetOf0(X0,xT) ) )
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) ) )
& aSet0(slbdtsldtrb0(xS,xk))
& ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xT,xk))
& ~ ( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0)
& aSubsetOf0(X0,xS) ) )
& ( ( sbrdtbr0(X0) = xk
& ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) )
| aSubsetOf0(X0,xS) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
=> ( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
fof(f182,plain,
aSet0(slbdtsldtrb0(xT,xk)),
inference(cnf_transformation,[],[f129]) ).
fof(f202,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& xk = sbrdtbr0(xQ)
& aSet0(xQ)
& aSubsetOf0(xQ,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM552+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 06:57:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.45 % (15418)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.45 % (15418)Instruction limit reached!
% 0.20/0.45 % (15418)------------------------------
% 0.20/0.45 % (15418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45 % (15418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45 % (15418)Termination reason: Unknown
% 0.20/0.45 % (15418)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (15418)Memory used [KB]: 6140
% 0.20/0.45 % (15418)Time elapsed: 0.006 s
% 0.20/0.45 % (15418)Instructions burned: 7 (million)
% 0.20/0.45 % (15418)------------------------------
% 0.20/0.45 % (15418)------------------------------
% 0.20/0.46 % (15410)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)
% 0.20/0.48 % (15410)First to succeed.
% 0.20/0.48 % (15427)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.49 % (15410)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (15410)------------------------------
% 0.20/0.49 % (15410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (15410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (15410)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (15410)Memory used [KB]: 6396
% 0.20/0.49 % (15410)Time elapsed: 0.092 s
% 0.20/0.49 % (15410)Instructions burned: 12 (million)
% 0.20/0.49 % (15410)------------------------------
% 0.20/0.49 % (15410)------------------------------
% 0.20/0.49 % (15402)Success in time 0.146 s
%------------------------------------------------------------------------------